TSTP Solution File: ALG191+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG191+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 15:37:21 EDT 2022
% Result : Unsatisfiable 46.38s 16.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG191+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 11:05:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.57 ____ _
% 0.55/0.57 ___ / __ \_____(_)___ ________ __________
% 0.55/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.57
% 0.55/0.57 A Theorem Prover for First-Order Logic
% 0.55/0.58 (ePrincess v.1.0)
% 0.55/0.58
% 0.55/0.58 (c) Philipp Rümmer, 2009-2015
% 0.55/0.58 (c) Peter Backeman, 2014-2015
% 0.55/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.58 Bug reports to peter@backeman.se
% 0.55/0.58
% 0.55/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.58
% 0.55/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.61/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.97/1.21 Prover 0: Preprocessing ...
% 4.99/1.65 Prover 0: Constructing countermodel ...
% 19.69/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.54/6.11 Prover 1: Preprocessing ...
% 21.44/6.35 Prover 1: Constructing countermodel ...
% 28.11/8.51 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 29.00/8.73 Prover 2: Preprocessing ...
% 29.75/8.92 Prover 2: Warning: ignoring some quantifiers
% 29.75/8.92 Prover 2: Constructing countermodel ...
% 37.56/11.53 Prover 0: stopped
% 37.88/11.73 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 38.27/11.89 Prover 3: Preprocessing ...
% 38.69/12.00 Prover 3: Constructing countermodel ...
% 46.38/16.64 Prover 3: proved (4914ms)
% 46.38/16.65 Prover 2: stopped
% 46.38/16.65 Prover 1: stopped
% 46.38/16.65
% 46.38/16.65 No countermodel exists, formula is valid
% 46.38/16.65 % SZS status Unsatisfiable for theBenchmark
% 46.38/16.65
% 46.38/16.65 Generating proof ... found it (size 120014)
% 260.52/205.53
% 260.52/205.53 % SZS output start Proof for theBenchmark
% 260.52/205.53 Assumed formulas after preprocessing and simplification:
% 260.52/205.53 | (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(v24, v24) = e4 & op(v23, v19) = e3 & op(v22, v14) = e2 & op(v21, v9) = e1 & op(v20, v4) = e0 & op(v19, v23) = e4 & op(v18, v18) = e3 & op(v17, v13) = e2 & op(v16, v8) = e1 & op(v15, v3) = e0 & op(v14, v22) = e4 & op(v13, v17) = e3 & op(v12, v12) = e2 & op(v11, v7) = e1 & op(v10, v2) = e0 & op(v9, v21) = e4 & op(v8, v16) = e3 & op(v7, v11) = e2 & op(v6, v6) = e1 & op(v5, v1) = e0 & op(v4, v20) = e4 & op(v3, v15) = e3 & op(v2, v10) = e2 & op(v1, v5) = e1 & op(v0, v0) = e0 & op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & 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) | (v28 = v23 & ~ (v23 = e2)) | (v28 = v23 & (( ~ (v30 = e1) & op(e4, v23) = v30) | ( ~ (v29 = e0) & op(v23, v23) = v29)))) & ( ~ (v24 = e3) | (v28 = v23 & ~ (v23 = e2)) | (v28 = v23 & (( ~ (v30 = e0) & op(e4, v23) = v30) | ( ~ (v29 = e1) & op(v23, v23) = v29)))) & ( ~ (v24 = e3) | (v28 = v23 & ~ (v23 = e1)) | (v28 = v23 & (( ~ (v30 = e2) & op(e4, v23) = v30) | ( ~ (v29 = e0) & op(v23, v23) = v29)))) & ( ~ (v24 = e3) | (v28 = v23 & ~ (v23 = e1)) | (v28 = v23 & (( ~ (v30 = e0) & op(e4, v23) = v30) | ( ~ (v29 = e2) & op(v23, v23) = v29)))) & ( ~ (v24 = e3) | (v28 = v23 & ~ (v23 = e0)) | (v28 = v23 & (( ~ (v30 = e2) & op(e4, v23) = v30) | ( ~ (v29 = e1) & op(v23, v23) = v29)))) & ( ~ (v24 = e3) | (v28 = v23 & ~ (v23 = e0)) | (v28 = v23 & (( ~ (v30 = e1) & op(e4, v23) = v30) | ( ~ (v29 = e2) & op(v23, v23) = v29)))) & ( ~ (v24 = e2) | (v28 = v22 & ~ (v22 = e3)) | (v28 = v22 & (( ~ (v30 = e1) & op(e4, v22) = v30) | ( ~ (v29 = e0) & op(v22, v22) = v29)))) & ( ~ (v24 = e2) | (v28 = v22 & ~ (v22 = e3)) | (v28 = v22 & (( ~ (v30 = e0) & op(e4, v22) = v30) | ( ~ (v29 = e1) & op(v22, v22) = v29)))) & ( ~ (v24 = e2) | (v28 = v22 & ~ (v22 = e1)) | (v28 = v22 & (( ~ (v30 = e3) & op(e4, v22) = v30) | ( ~ (v29 = e0) & op(v22, v22) = v29)))) & ( ~ (v24 = e2) | (v28 = v22 & ~ (v22 = e1)) | (v28 = v22 & (( ~ (v30 = e0) & op(e4, v22) = v30) | ( ~ (v29 = e3) & op(v22, v22) = v29)))) & ( ~ (v24 = e2) | (v28 = v22 & ~ (v22 = e0)) | (v28 = v22 & (( ~ (v30 = e3) & op(e4, v22) = v30) | ( ~ (v29 = e1) & op(v22, v22) = v29)))) & ( ~ (v24 = e2) | (v28 = v22 & ~ (v22 = e0)) | (v28 = v22 & (( ~ (v30 = e1) & op(e4, v22) = v30) | ( ~ (v29 = e3) & op(v22, v22) = v29)))) & ( ~ (v24 = e1) | (v28 = v21 & ~ (v21 = e3)) | (v28 = v21 & (( ~ (v30 = e2) & op(e4, v21) = v30) | ( ~ (v29 = e0) & op(v21, v21) = v29)))) & ( ~ (v24 = e1) | (v28 = v21 & ~ (v21 = e3)) | (v28 = v21 & (( ~ (v30 = e0) & op(e4, v21) = v30) | ( ~ (v29 = e2) & op(v21, v21) = v29)))) & ( ~ (v24 = e1) | (v28 = v21 & ~ (v21 = e2)) | (v28 = v21 & (( ~ (v30 = e3) & op(e4, v21) = v30) | ( ~ (v29 = e0) & op(v21, v21) = v29)))) & ( ~ (v24 = e1) | (v28 = v21 & ~ (v21 = e2)) | (v28 = v21 & (( ~ (v30 = e0) & op(e4, v21) = v30) | ( ~ (v29 = e3) & op(v21, v21) = v29)))) & ( ~ (v24 = e1) | (v28 = v21 & ~ (v21 = e0)) | (v28 = v21 & (( ~ (v30 = e3) & op(e4, v21) = v30) | ( ~ (v29 = e2) & op(v21, v21) = v29)))) & ( ~ (v24 = e1) | (v28 = v21 & ~ (v21 = e0)) | (v28 = v21 & (( ~ (v30 = e2) & op(e4, v21) = v30) | ( ~ (v29 = e3) & op(v21, v21) = v29)))) & ( ~ (v24 = e0) | (v28 = v20 & ~ (v20 = e3)) | (v28 = v20 & (( ~ (v30 = e2) & op(e4, v20) = v30) | ( ~ (v29 = e1) & op(v20, v20) = v29)))) & ( ~ (v24 = e0) | (v28 = v20 & ~ (v20 = e3)) | (v28 = v20 & (( ~ (v30 = e1) & op(e4, v20) = v30) | ( ~ (v29 = e2) & op(v20, v20) = v29)))) & ( ~ (v24 = e0) | (v28 = v20 & ~ (v20 = e2)) | (v28 = v20 & (( ~ (v30 = e3) & op(e4, v20) = v30) | ( ~ (v29 = e1) & op(v20, v20) = v29)))) & ( ~ (v24 = e0) | (v28 = v20 & ~ (v20 = e2)) | (v28 = v20 & (( ~ (v30 = e1) & op(e4, v20) = v30) | ( ~ (v29 = e3) & op(v20, v20) = v29)))) & ( ~ (v24 = e0) | (v28 = v20 & ~ (v20 = e1)) | (v28 = v20 & (( ~ (v30 = e3) & op(e4, v20) = v30) | ( ~ (v29 = e2) & op(v20, v20) = v29)))) & ( ~ (v24 = e0) | (v28 = v20 & ~ (v20 = e1)) | (v28 = v20 & (( ~ (v30 = e2) & op(e4, v20) = v30) | ( ~ (v29 = e3) & op(v20, v20) = v29)))) & ( ~ (v18 = e4) | (v25 = v19 & ~ (v19 = e2)) | (v25 = v19 & (( ~ (v27 = e1) & op(e3, v19) = v27) | ( ~ (v26 = e0) & op(v19, v19) = v26)))) & ( ~ (v18 = e4) | (v25 = v19 & ~ (v19 = e2)) | (v25 = v19 & (( ~ (v27 = e0) & op(e3, v19) = v27) | ( ~ (v26 = e1) & op(v19, v19) = v26)))) & ( ~ (v18 = e4) | (v25 = v19 & ~ (v19 = e1)) | (v25 = v19 & (( ~ (v27 = e2) & op(e3, v19) = v27) | ( ~ (v26 = e0) & op(v19, v19) = v26)))) & ( ~ (v18 = e4) | (v25 = v19 & ~ (v19 = e1)) | (v25 = v19 & (( ~ (v27 = e0) & op(e3, v19) = v27) | ( ~ (v26 = e2) & op(v19, v19) = v26)))) & ( ~ (v18 = e4) | (v25 = v19 & ~ (v19 = e0)) | (v25 = v19 & (( ~ (v27 = e2) & op(e3, v19) = v27) | ( ~ (v26 = e1) & op(v19, v19) = v26)))) & ( ~ (v18 = e4) | (v25 = v19 & ~ (v19 = e0)) | (v25 = v19 & (( ~ (v27 = e1) & op(e3, v19) = v27) | ( ~ (v26 = e2) & op(v19, v19) = v26)))) & ( ~ (v18 = e2) | (v25 = v17 & ~ (v17 = e4)) | (v25 = v17 & (( ~ (v27 = e1) & op(e3, v17) = v27) | ( ~ (v26 = e0) & op(v17, v17) = v26)))) & ( ~ (v18 = e2) | (v25 = v17 & ~ (v17 = e4)) | (v25 = v17 & (( ~ (v27 = e0) & op(e3, v17) = v27) | ( ~ (v26 = e1) & op(v17, v17) = v26)))) & ( ~ (v18 = e2) | (v25 = v17 & ~ (v17 = e1)) | (v25 = v17 & (( ~ (v27 = e4) & op(e3, v17) = v27) | ( ~ (v26 = e0) & op(v17, v17) = v26)))) & ( ~ (v18 = e2) | (v25 = v17 & ~ (v17 = e1)) | (v25 = v17 & (( ~ (v27 = e0) & op(e3, v17) = v27) | ( ~ (v26 = e4) & op(v17, v17) = v26)))) & ( ~ (v18 = e2) | (v25 = v17 & ~ (v17 = e0)) | (v25 = v17 & (( ~ (v27 = e4) & op(e3, v17) = v27) | ( ~ (v26 = e1) & op(v17, v17) = v26)))) & ( ~ (v18 = e2) | (v25 = v17 & ~ (v17 = e0)) | (v25 = v17 & (( ~ (v27 = e1) & op(e3, v17) = v27) | ( ~ (v26 = e4) & op(v17, v17) = v26)))) & ( ~ (v18 = e1) | (v25 = v16 & ~ (v16 = e4)) | (v25 = v16 & (( ~ (v27 = e2) & op(e3, v16) = v27) | ( ~ (v26 = e0) & op(v16, v16) = v26)))) & ( ~ (v18 = e1) | (v25 = v16 & ~ (v16 = e4)) | (v25 = v16 & (( ~ (v27 = e0) & op(e3, v16) = v27) | ( ~ (v26 = e2) & op(v16, v16) = v26)))) & ( ~ (v18 = e1) | (v25 = v16 & ~ (v16 = e2)) | (v25 = v16 & (( ~ (v27 = e4) & op(e3, v16) = v27) | ( ~ (v26 = e0) & op(v16, v16) = v26)))) & ( ~ (v18 = e1) | (v25 = v16 & ~ (v16 = e2)) | (v25 = v16 & (( ~ (v27 = e0) & op(e3, v16) = v27) | ( ~ (v26 = e4) & op(v16, v16) = v26)))) & ( ~ (v18 = e1) | (v25 = v16 & ~ (v16 = e0)) | (v25 = v16 & (( ~ (v27 = e4) & op(e3, v16) = v27) | ( ~ (v26 = e2) & op(v16, v16) = v26)))) & ( ~ (v18 = e1) | (v25 = v16 & ~ (v16 = e0)) | (v25 = v16 & (( ~ (v27 = e2) & op(e3, v16) = v27) | ( ~ (v26 = e4) & op(v16, v16) = v26)))) & ( ~ (v18 = e0) | (v25 = v15 & ~ (v15 = e4)) | (v25 = v15 & (( ~ (v27 = e2) & op(e3, v15) = v27) | ( ~ (v26 = e1) & op(v15, v15) = v26)))) & ( ~ (v18 = e0) | (v25 = v15 & ~ (v15 = e4)) | (v25 = v15 & (( ~ (v27 = e1) & op(e3, v15) = v27) | ( ~ (v26 = e2) & op(v15, v15) = v26)))) & ( ~ (v18 = e0) | (v25 = v15 & ~ (v15 = e2)) | (v25 = v15 & (( ~ (v27 = e4) & op(e3, v15) = v27) | ( ~ (v26 = e1) & op(v15, v15) = v26)))) & ( ~ (v18 = e0) | (v25 = v15 & ~ (v15 = e2)) | (v25 = v15 & (( ~ (v27 = e1) & op(e3, v15) = v27) | ( ~ (v26 = e4) & op(v15, v15) = v26)))) & ( ~ (v18 = e0) | (v25 = v15 & ~ (v15 = e1)) | (v25 = v15 & (( ~ (v27 = e4) & op(e3, v15) = v27) | ( ~ (v26 = e2) & op(v15, v15) = v26)))) & ( ~ (v18 = e0) | (v25 = v15 & ~ (v15 = e1)) | (v25 = v15 & (( ~ (v27 = e2) & op(e3, v15) = v27) | ( ~ (v26 = e4) & op(v15, v15) = v26)))) & ( ~ (v12 = e4) | (v31 = v14 & ~ (v14 = e3)) | (v31 = v14 & (( ~ (v33 = e1) & op(e2, v14) = v33) | ( ~ (v32 = e0) & op(v14, v14) = v32)))) & ( ~ (v12 = e4) | (v31 = v14 & ~ (v14 = e3)) | (v31 = v14 & (( ~ (v33 = e0) & op(e2, v14) = v33) | ( ~ (v32 = e1) & op(v14, v14) = v32)))) & ( ~ (v12 = e4) | (v31 = v14 & ~ (v14 = e1)) | (v31 = v14 & (( ~ (v33 = e3) & op(e2, v14) = v33) | ( ~ (v32 = e0) & op(v14, v14) = v32)))) & ( ~ (v12 = e4) | (v31 = v14 & ~ (v14 = e1)) | (v31 = v14 & (( ~ (v33 = e0) & op(e2, v14) = v33) | ( ~ (v32 = e3) & op(v14, v14) = v32)))) & ( ~ (v12 = e4) | (v31 = v14 & ~ (v14 = e0)) | (v31 = v14 & (( ~ (v33 = e3) & op(e2, v14) = v33) | ( ~ (v32 = e1) & op(v14, v14) = v32)))) & ( ~ (v12 = e4) | (v31 = v14 & ~ (v14 = e0)) | (v31 = v14 & (( ~ (v33 = e1) & op(e2, v14) = v33) | ( ~ (v32 = e3) & op(v14, v14) = v32)))) & ( ~ (v12 = e3) | (v31 = v13 & ~ (v13 = e4)) | (v31 = v13 & (( ~ (v33 = e1) & op(e2, v13) = v33) | ( ~ (v32 = e0) & op(v13, v13) = v32)))) & ( ~ (v12 = e3) | (v31 = v13 & ~ (v13 = e4)) | (v31 = v13 & (( ~ (v33 = e0) & op(e2, v13) = v33) | ( ~ (v32 = e1) & op(v13, v13) = v32)))) & ( ~ (v12 = e3) | (v31 = v13 & ~ (v13 = e1)) | (v31 = v13 & (( ~ (v33 = e4) & op(e2, v13) = v33) | ( ~ (v32 = e0) & op(v13, v13) = v32)))) & ( ~ (v12 = e3) | (v31 = v13 & ~ (v13 = e1)) | (v31 = v13 & (( ~ (v33 = e0) & op(e2, v13) = v33) | ( ~ (v32 = e4) & op(v13, v13) = v32)))) & ( ~ (v12 = e3) | (v31 = v13 & ~ (v13 = e0)) | (v31 = v13 & (( ~ (v33 = e4) & op(e2, v13) = v33) | ( ~ (v32 = e1) & op(v13, v13) = v32)))) & ( ~ (v12 = e3) | (v31 = v13 & ~ (v13 = e0)) | (v31 = v13 & (( ~ (v33 = e1) & op(e2, v13) = v33) | ( ~ (v32 = e4) & op(v13, v13) = v32)))) & ( ~ (v12 = e1) | (v31 = v11 & ~ (v11 = e4)) | (v31 = v11 & (( ~ (v33 = e3) & op(e2, v11) = v33) | ( ~ (v32 = e0) & op(v11, v11) = v32)))) & ( ~ (v12 = e1) | (v31 = v11 & ~ (v11 = e4)) | (v31 = v11 & (( ~ (v33 = e0) & op(e2, v11) = v33) | ( ~ (v32 = e3) & op(v11, v11) = v32)))) & ( ~ (v12 = e1) | (v31 = v11 & ~ (v11 = e3)) | (v31 = v11 & (( ~ (v33 = e4) & op(e2, v11) = v33) | ( ~ (v32 = e0) & op(v11, v11) = v32)))) & ( ~ (v12 = e1) | (v31 = v11 & ~ (v11 = e3)) | (v31 = v11 & (( ~ (v33 = e0) & op(e2, v11) = v33) | ( ~ (v32 = e4) & op(v11, v11) = v32)))) & ( ~ (v12 = e1) | (v31 = v11 & ~ (v11 = e0)) | (v31 = v11 & (( ~ (v33 = e4) & op(e2, v11) = v33) | ( ~ (v32 = e3) & op(v11, v11) = v32)))) & ( ~ (v12 = e1) | (v31 = v11 & ~ (v11 = e0)) | (v31 = v11 & (( ~ (v33 = e3) & op(e2, v11) = v33) | ( ~ (v32 = e4) & op(v11, v11) = v32)))) & ( ~ (v12 = e0) | (v31 = v10 & ~ (v10 = e4)) | (v31 = v10 & (( ~ (v33 = e3) & op(e2, v10) = v33) | ( ~ (v32 = e1) & op(v10, v10) = v32)))) & ( ~ (v12 = e0) | (v31 = v10 & ~ (v10 = e4)) | (v31 = v10 & (( ~ (v33 = e1) & op(e2, v10) = v33) | ( ~ (v32 = e3) & op(v10, v10) = v32)))) & ( ~ (v12 = e0) | (v31 = v10 & ~ (v10 = e3)) | (v31 = v10 & (( ~ (v33 = e4) & op(e2, v10) = v33) | ( ~ (v32 = e1) & op(v10, v10) = v32)))) & ( ~ (v12 = e0) | (v31 = v10 & ~ (v10 = e3)) | (v31 = v10 & (( ~ (v33 = e1) & op(e2, v10) = v33) | ( ~ (v32 = e4) & op(v10, v10) = v32)))) & ( ~ (v12 = e0) | (v31 = v10 & ~ (v10 = e1)) | (v31 = v10 & (( ~ (v33 = e4) & op(e2, v10) = v33) | ( ~ (v32 = e3) & op(v10, v10) = v32)))) & ( ~ (v12 = e0) | (v31 = v10 & ~ (v10 = e1)) | (v31 = v10 & (( ~ (v33 = e3) & op(e2, v10) = v33) | ( ~ (v32 = e4) & op(v10, v10) = v32)))) & ( ~ (v6 = e4) | (v34 = v9 & ~ (v9 = e3)) | (v34 = v9 & (( ~ (v36 = e2) & op(e1, v9) = v36) | ( ~ (v35 = e0) & op(v9, v9) = v35)))) & ( ~ (v6 = e4) | (v34 = v9 & ~ (v9 = e3)) | (v34 = v9 & (( ~ (v36 = e0) & op(e1, v9) = v36) | ( ~ (v35 = e2) & op(v9, v9) = v35)))) & ( ~ (v6 = e4) | (v34 = v9 & ~ (v9 = e2)) | (v34 = v9 & (( ~ (v36 = e3) & op(e1, v9) = v36) | ( ~ (v35 = e0) & op(v9, v9) = v35)))) & ( ~ (v6 = e4) | (v34 = v9 & ~ (v9 = e2)) | (v34 = v9 & (( ~ (v36 = e0) & op(e1, v9) = v36) | ( ~ (v35 = e3) & op(v9, v9) = v35)))) & ( ~ (v6 = e4) | (v34 = v9 & ~ (v9 = e0)) | (v34 = v9 & (( ~ (v36 = e3) & op(e1, v9) = v36) | ( ~ (v35 = e2) & op(v9, v9) = v35)))) & ( ~ (v6 = e4) | (v34 = v9 & ~ (v9 = e0)) | (v34 = v9 & (( ~ (v36 = e2) & op(e1, v9) = v36) | ( ~ (v35 = e3) & op(v9, v9) = v35)))) & ( ~ (v6 = e3) | (v34 = v8 & ~ (v8 = e4)) | (v34 = v8 & (( ~ (v36 = e2) & op(e1, v8) = v36) | ( ~ (v35 = e0) & op(v8, v8) = v35)))) & ( ~ (v6 = e3) | (v34 = v8 & ~ (v8 = e4)) | (v34 = v8 & (( ~ (v36 = e0) & op(e1, v8) = v36) | ( ~ (v35 = e2) & op(v8, v8) = v35)))) & ( ~ (v6 = e3) | (v34 = v8 & ~ (v8 = e2)) | (v34 = v8 & (( ~ (v36 = e4) & op(e1, v8) = v36) | ( ~ (v35 = e0) & op(v8, v8) = v35)))) & ( ~ (v6 = e3) | (v34 = v8 & ~ (v8 = e2)) | (v34 = v8 & (( ~ (v36 = e0) & op(e1, v8) = v36) | ( ~ (v35 = e4) & op(v8, v8) = v35)))) & ( ~ (v6 = e3) | (v34 = v8 & ~ (v8 = e0)) | (v34 = v8 & (( ~ (v36 = e4) & op(e1, v8) = v36) | ( ~ (v35 = e2) & op(v8, v8) = v35)))) & ( ~ (v6 = e3) | (v34 = v8 & ~ (v8 = e0)) | (v34 = v8 & (( ~ (v36 = e2) & op(e1, v8) = v36) | ( ~ (v35 = e4) & op(v8, v8) = v35)))) & ( ~ (v6 = e2) | (v34 = v7 & ~ (v7 = e4)) | (v34 = v7 & (( ~ (v36 = e3) & op(e1, v7) = v36) | ( ~ (v35 = e0) & op(v7, v7) = v35)))) & ( ~ (v6 = e2) | (v34 = v7 & ~ (v7 = e4)) | (v34 = v7 & (( ~ (v36 = e0) & op(e1, v7) = v36) | ( ~ (v35 = e3) & op(v7, v7) = v35)))) & ( ~ (v6 = e2) | (v34 = v7 & ~ (v7 = e3)) | (v34 = v7 & (( ~ (v36 = e4) & op(e1, v7) = v36) | ( ~ (v35 = e0) & op(v7, v7) = v35)))) & ( ~ (v6 = e2) | (v34 = v7 & ~ (v7 = e3)) | (v34 = v7 & (( ~ (v36 = e0) & op(e1, v7) = v36) | ( ~ (v35 = e4) & op(v7, v7) = v35)))) & ( ~ (v6 = e2) | (v34 = v7 & ~ (v7 = e0)) | (v34 = v7 & (( ~ (v36 = e4) & op(e1, v7) = v36) | ( ~ (v35 = e3) & op(v7, v7) = v35)))) & ( ~ (v6 = e2) | (v34 = v7 & ~ (v7 = e0)) | (v34 = v7 & (( ~ (v36 = e3) & op(e1, v7) = v36) | ( ~ (v35 = e4) & op(v7, v7) = v35)))) & ( ~ (v6 = e0) | (v34 = v5 & ~ (v5 = e4)) | (v34 = v5 & (( ~ (v36 = e3) & op(e1, v5) = v36) | ( ~ (v35 = e2) & op(v5, v5) = v35)))) & ( ~ (v6 = e0) | (v34 = v5 & ~ (v5 = e4)) | (v34 = v5 & (( ~ (v36 = e2) & op(e1, v5) = v36) | ( ~ (v35 = e3) & op(v5, v5) = v35)))) & ( ~ (v6 = e0) | (v34 = v5 & ~ (v5 = e3)) | (v34 = v5 & (( ~ (v36 = e4) & op(e1, v5) = v36) | ( ~ (v35 = e2) & op(v5, v5) = v35)))) & ( ~ (v6 = e0) | (v34 = v5 & ~ (v5 = e3)) | (v34 = v5 & (( ~ (v36 = e2) & op(e1, v5) = v36) | ( ~ (v35 = e4) & op(v5, v5) = v35)))) & ( ~ (v6 = e0) | (v34 = v5 & ~ (v5 = e2)) | (v34 = v5 & (( ~ (v36 = e4) & op(e1, v5) = v36) | ( ~ (v35 = e3) & op(v5, v5) = v35)))) & ( ~ (v6 = e0) | (v34 = v5 & ~ (v5 = e2)) | (v34 = v5 & (( ~ (v36 = e3) & op(e1, v5) = v36) | ( ~ (v35 = e4) & op(v5, v5) = v35)))) & ( ~ (v0 = e4) | (v37 = v4 & ~ (v4 = e3)) | (v37 = v4 & (( ~ (v39 = e2) & op(e0, v4) = v39) | ( ~ (v38 = e1) & op(v4, v4) = v38)))) & ( ~ (v0 = e4) | (v37 = v4 & ~ (v4 = e3)) | (v37 = v4 & (( ~ (v39 = e1) & op(e0, v4) = v39) | ( ~ (v38 = e2) & op(v4, v4) = v38)))) & ( ~ (v0 = e4) | (v37 = v4 & ~ (v4 = e2)) | (v37 = v4 & (( ~ (v39 = e3) & op(e0, v4) = v39) | ( ~ (v38 = e1) & op(v4, v4) = v38)))) & ( ~ (v0 = e4) | (v37 = v4 & ~ (v4 = e2)) | (v37 = v4 & (( ~ (v39 = e1) & op(e0, v4) = v39) | ( ~ (v38 = e3) & op(v4, v4) = v38)))) & ( ~ (v0 = e4) | (v37 = v4 & ~ (v4 = e1)) | (v37 = v4 & (( ~ (v39 = e3) & op(e0, v4) = v39) | ( ~ (v38 = e2) & op(v4, v4) = v38)))) & ( ~ (v0 = e4) | (v37 = v4 & ~ (v4 = e1)) | (v37 = v4 & (( ~ (v39 = e2) & op(e0, v4) = v39) | ( ~ (v38 = e3) & op(v4, v4) = v38)))) & ( ~ (v0 = e3) | (v37 = v3 & ~ (v3 = e4)) | (v37 = v3 & (( ~ (v39 = e2) & op(e0, v3) = v39) | ( ~ (v38 = e1) & op(v3, v3) = v38)))) & ( ~ (v0 = e3) | (v37 = v3 & ~ (v3 = e4)) | (v37 = v3 & (( ~ (v39 = e1) & op(e0, v3) = v39) | ( ~ (v38 = e2) & op(v3, v3) = v38)))) & ( ~ (v0 = e3) | (v37 = v3 & ~ (v3 = e2)) | (v37 = v3 & (( ~ (v39 = e4) & op(e0, v3) = v39) | ( ~ (v38 = e1) & op(v3, v3) = v38)))) & ( ~ (v0 = e3) | (v37 = v3 & ~ (v3 = e2)) | (v37 = v3 & (( ~ (v39 = e1) & op(e0, v3) = v39) | ( ~ (v38 = e4) & op(v3, v3) = v38)))) & ( ~ (v0 = e3) | (v37 = v3 & ~ (v3 = e1)) | (v37 = v3 & (( ~ (v39 = e4) & op(e0, v3) = v39) | ( ~ (v38 = e2) & op(v3, v3) = v38)))) & ( ~ (v0 = e3) | (v37 = v3 & ~ (v3 = e1)) | (v37 = v3 & (( ~ (v39 = e2) & op(e0, v3) = v39) | ( ~ (v38 = e4) & op(v3, v3) = v38)))) & ( ~ (v0 = e2) | (v37 = v2 & ~ (v2 = e4)) | (v37 = v2 & (( ~ (v39 = e3) & op(e0, v2) = v39) | ( ~ (v38 = e1) & op(v2, v2) = v38)))) & ( ~ (v0 = e2) | (v37 = v2 & ~ (v2 = e4)) | (v37 = v2 & (( ~ (v39 = e1) & op(e0, v2) = v39) | ( ~ (v38 = e3) & op(v2, v2) = v38)))) & ( ~ (v0 = e2) | (v37 = v2 & ~ (v2 = e3)) | (v37 = v2 & (( ~ (v39 = e4) & op(e0, v2) = v39) | ( ~ (v38 = e1) & op(v2, v2) = v38)))) & ( ~ (v0 = e2) | (v37 = v2 & ~ (v2 = e3)) | (v37 = v2 & (( ~ (v39 = e1) & op(e0, v2) = v39) | ( ~ (v38 = e4) & op(v2, v2) = v38)))) & ( ~ (v0 = e2) | (v37 = v2 & ~ (v2 = e1)) | (v37 = v2 & (( ~ (v39 = e4) & op(e0, v2) = v39) | ( ~ (v38 = e3) & op(v2, v2) = v38)))) & ( ~ (v0 = e2) | (v37 = v2 & ~ (v2 = e1)) | (v37 = v2 & (( ~ (v39 = e3) & op(e0, v2) = v39) | ( ~ (v38 = e4) & op(v2, v2) = v38)))) & ( ~ (v0 = e1) | (v37 = v1 & ~ (v1 = e4)) | (v37 = v1 & (( ~ (v39 = e3) & op(e0, v1) = v39) | ( ~ (v38 = e2) & op(v1, v1) = v38)))) & ( ~ (v0 = e1) | (v37 = v1 & ~ (v1 = e4)) | (v37 = v1 & (( ~ (v39 = e2) & op(e0, v1) = v39) | ( ~ (v38 = e3) & op(v1, v1) = v38)))) & ( ~ (v0 = e1) | (v37 = v1 & ~ (v1 = e3)) | (v37 = v1 & (( ~ (v39 = e4) & op(e0, v1) = v39) | ( ~ (v38 = e2) & op(v1, v1) = v38)))) & ( ~ (v0 = e1) | (v37 = v1 & ~ (v1 = e3)) | (v37 = v1 & (( ~ (v39 = e2) & op(e0, v1) = v39) | ( ~ (v38 = e4) & op(v1, v1) = v38)))) & ( ~ (v0 = e1) | (v37 = v1 & ~ (v1 = e2)) | (v37 = v1 & (( ~ (v39 = e4) & op(e0, v1) = v39) | ( ~ (v38 = e3) & op(v1, v1) = v38)))) & ( ~ (v0 = e1) | (v37 = v1 & ~ (v1 = e2)) | (v37 = v1 & (( ~ (v39 = e3) & op(e0, v1) = v39) | ( ~ (v38 = e4) & op(v1, v1) = v38)))) & (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) & (( ~ (v24 = e4) & ~ (v23 = e3) & ~ (v22 = e2) & ~ (v21 = e1) & ~ (v20 = e0)) | ( ~ (v19 = e4) & ~ (v18 = e3) & ~ (v17 = e2) & ~ (v16 = e1) & ~ (v15 = e0)) | ( ~ (v14 = e4) & ~ (v13 = e3) & ~ (v12 = e2) & ~ (v11 = e1) & ~ (v10 = e0)) | ( ~ (v9 = e4) & ~ (v8 = e3) & ~ (v7 = e2) & ~ (v6 = e1) & ~ (v5 = e0)) | ( ~ (v4 = e4) & ~ (v3 = e3) & ~ (v2 = e2) & ~ (v1 = e1) & ~ (v0 = e0))))
% 261.10/205.65 | 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:
% 261.10/205.65 | (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(all_0_15_15, all_0_15_15) = e4 & op(all_0_16_16, all_0_20_20) = e3 & op(all_0_17_17, all_0_25_25) = e2 & op(all_0_18_18, all_0_30_30) = e1 & op(all_0_19_19, all_0_35_35) = e0 & op(all_0_20_20, all_0_16_16) = e4 & op(all_0_21_21, all_0_21_21) = e3 & op(all_0_22_22, all_0_26_26) = e2 & op(all_0_23_23, all_0_31_31) = e1 & op(all_0_24_24, all_0_36_36) = e0 & op(all_0_25_25, all_0_17_17) = e4 & op(all_0_26_26, all_0_22_22) = e3 & op(all_0_27_27, all_0_27_27) = e2 & op(all_0_28_28, all_0_32_32) = e1 & op(all_0_29_29, all_0_37_37) = e0 & op(all_0_30_30, all_0_18_18) = e4 & op(all_0_31_31, all_0_23_23) = e3 & op(all_0_32_32, all_0_28_28) = e2 & op(all_0_33_33, all_0_33_33) = e1 & op(all_0_34_34, all_0_38_38) = e0 & op(all_0_35_35, all_0_19_19) = e4 & op(all_0_36_36, all_0_24_24) = e3 & op(all_0_37_37, all_0_29_29) = e2 & op(all_0_38_38, all_0_34_34) = e1 & op(all_0_39_39, all_0_39_39) = e0 & 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, 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, 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, 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, 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_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))) & ( ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))) & ( ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))) & ( ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))) & ( ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))) & ( ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))) & ( ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))) & ( ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))) & ( ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))) & ( ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))) & ( ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))) & ( ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))) & ( ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))) & ( ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))) & ( ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))) & ( ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))) & ( ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))) & ( ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))) & ( ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))) & ( ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))) & ( ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))) & ( ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))) & ( ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))) & ( ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))) & ( ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))) & ( ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))) & ( ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))) & ( ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))) & ( ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))) & ( ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))) & ( ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e4)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))) & ( ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e4)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))) & ( ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e1)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))) & ( ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e1)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))) & ( ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e0)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))) & ( ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e0)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))) & ( ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))) & ( ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))) & ( ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))) & ( ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))) & ( ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))) & ( ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))) & ( ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))) & ( ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))) & ( ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))) & ( ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))) & ( ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e1)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))) & ( ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e1)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))) & ( ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))) & ( ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))) & ( ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))) & ( ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))) & ( ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))) & ( ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))) & ( ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))) & ( ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))) & ( ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))) & ( ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))) & ( ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))) & ( ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))) & ( ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))) & ( ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))) & ( ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))) & ( ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))) & ( ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))) & ( ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))) & ( ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))) & ( ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))) & ( ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))) & ( ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))) & ( ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))) & ( ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))) & ( ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))) & ( ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))) & ( ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))) & ( ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))) & ( ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))) & ( ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))) & ( ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))) & ( ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))) & ( ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))) & ( ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))) & ( ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))) & ( ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))) & ( ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))) & ( ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))) & ( ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))) & ( ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))) & ( ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))) & ( ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))) & ( ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))) & ( ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))) & ( ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))) & ( ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))) & ( ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))) & ( ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))) & ( ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))) & ( ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))) & ( ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))) & ( ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))) & ( ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))) & ( ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))) & ( ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))) & ( ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))) & ( ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))) & ( ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))) & ( ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))) & ( ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))) & ( ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))) & ( ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))) & ( ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))) & ( ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))) & ( ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))) & ( ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))) & ( ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))) & ( ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))) & ( ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))) & ( ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))) & ( ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))) & ( ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))) & (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) & (( ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)) | ( ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0)) | ( ~ (all_0_25_25 = e4) & ~ (all_0_26_26 = e3) & ~ (all_0_27_27 = e2) & ~ (all_0_28_28 = e1) & ~ (all_0_29_29 = e0)) | ( ~ (all_0_30_30 = e4) & ~ (all_0_31_31 = e3) & ~ (all_0_32_32 = e2) & ~ (all_0_33_33 = e1) & ~ (all_0_34_34 = e0)) | ( ~ (all_0_35_35 = e4) & ~ (all_0_36_36 = e3) & ~ (all_0_37_37 = e2) & ~ (all_0_38_38 = e1) & ~ (all_0_39_39 = e0)))
% 261.10/205.70 |
% 261.10/205.70 | Applying alpha-rule on (1) yields:
% 261.10/205.70 | (2) op(e2, e0) = all_0_29_29
% 261.10/205.70 | (3) ~ (all_0_17_17 = all_0_27_27)
% 261.10/205.70 | (4) ~ (all_0_24_24 = all_0_34_34)
% 261.10/205.70 | (5) op(all_0_36_36, all_0_24_24) = e3
% 261.10/205.70 | (6) 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
% 261.10/205.70 | (7) ~ (all_0_31_31 = all_0_36_36)
% 261.10/205.70 | (8) 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
% 261.10/205.70 | (9) ~ (all_0_16_16 = all_0_18_18)
% 261.10/205.70 | (10) ~ (all_0_16_16 = all_0_31_31)
% 261.10/205.70 | (11) ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))
% 261.10/205.71 | (12) ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))
% 261.10/205.71 | (13) ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 261.10/205.71 | (14) ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 261.10/205.71 | (15) ~ (all_0_30_30 = all_0_34_34)
% 261.10/205.71 | (16) 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
% 261.10/205.71 | (17) 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
% 261.10/205.71 | (18) ~ (all_0_38_38 = all_0_39_39)
% 261.10/205.71 | (19) ~ (e4 = e2)
% 261.10/205.71 | (20) op(e4, e3) = all_0_16_16
% 261.10/205.71 | (21) ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))
% 261.10/205.71 | (22) ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))
% 261.10/205.71 | (23) 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
% 261.10/205.71 | (24) op(all_0_35_35, all_0_19_19) = e4
% 261.10/205.71 | (25) op(all_0_23_23, all_0_31_31) = e1
% 261.10/205.71 | (26) 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
% 261.10/205.71 | (27) ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e1)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))
% 261.10/205.71 | (28) ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e4)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))
% 261.10/205.71 | (29) 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
% 261.10/205.71 | (30) op(e0, e0) = all_0_39_39
% 261.10/205.71 | (31) 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
% 261.10/205.71 | (32) 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
% 261.10/205.71 | (33) ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 261.10/205.71 | (34) ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 261.10/205.71 | (35) 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
% 261.10/205.71 | (36) 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
% 261.10/205.71 | (37) ~ (e1 = e0)
% 261.10/205.71 | (38) ~ (all_0_26_26 = all_0_29_29)
% 261.10/205.71 | (39) ~ (all_0_23_23 = all_0_38_38)
% 261.10/205.71 | (40) op(all_0_20_20, all_0_16_16) = e4
% 261.10/205.71 | (41) ~ (all_0_29_29 = all_0_34_34)
% 261.10/205.71 | (42) ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.10/205.71 | (43) ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.10/205.71 | (44) ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 261.10/205.71 | (45) ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 261.10/205.71 | (46) ~ (all_0_26_26 = all_0_28_28)
% 261.10/205.71 | (47) ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 261.10/205.71 | (48) ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 261.10/205.71 | (49) op(all_0_25_25, all_0_17_17) = e4
% 261.10/205.71 | (50) op(e0, e2) = all_0_37_37
% 261.10/205.71 | (51) 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
% 261.10/205.71 | (52) ~ (all_0_15_15 = all_0_25_25)
% 261.10/205.71 | (53) op(all_0_15_15, all_0_15_15) = e4
% 261.10/205.71 | (54) ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))
% 261.10/205.71 | (55) ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))
% 261.10/205.71 | (56) ~ (e3 = e2)
% 261.10/205.71 | (57) op(all_0_17_17, all_0_25_25) = e2
% 261.10/205.71 | (58) ~ (all_0_25_25 = all_0_30_30)
% 261.10/205.71 | (59) 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
% 261.10/205.71 | (60) op(all_0_39_39, all_0_39_39) = e0
% 261.10/205.71 | (61) op(e4, e1) = all_0_18_18
% 261.10/205.71 | (62) ~ (all_0_25_25 = all_0_29_29)
% 261.10/205.71 | (63) ~ (all_0_22_22 = all_0_32_32)
% 261.10/205.71 | (64) ~ (all_0_16_16 = all_0_36_36)
% 261.10/205.71 | (65) ~ (e4 = e1)
% 261.10/205.71 | (66) ~ (all_0_15_15 = all_0_17_17)
% 261.10/205.71 | (67) op(e4, e0) = all_0_19_19
% 261.10/205.71 | (68) op(e1, e4) = all_0_30_30
% 261.10/205.71 | (69) ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 261.10/205.71 | (70) ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 261.10/205.71 | (71) ~ (all_0_20_20 = all_0_21_21)
% 261.10/205.71 | (72) 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
% 261.10/205.71 | (73) ~ (all_0_28_28 = all_0_29_29)
% 261.10/205.71 | (74) ~ (all_0_17_17 = all_0_18_18)
% 261.10/205.71 | (75) ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 261.10/205.71 | (76) ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 261.10/205.72 | (77) ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))
% 261.10/205.72 | (78) ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))
% 261.10/205.72 | (79) ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 261.10/205.72 | (80) ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 261.10/205.72 | (81) ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))
% 261.10/205.72 | (82) ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))
% 261.10/205.72 | (83) 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
% 261.10/205.72 | (84) ~ (all_0_15_15 = all_0_30_30)
% 261.10/205.72 | (85) ~ (all_0_24_24 = all_0_29_29)
% 261.10/205.72 | (86) ~ (all_0_23_23 = all_0_28_28)
% 261.10/205.72 | (87) ~ (all_0_19_19 = all_0_24_24)
% 261.10/205.72 | (88) ~ (e3 = e0)
% 261.10/205.72 | (89) ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 261.10/205.72 | (90) ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 261.10/205.72 | (91) ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 261.10/205.72 | (92) ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 261.10/205.72 | (93) ~ (all_0_36_36 = all_0_38_38)
% 261.10/205.72 | (94) 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
% 261.10/205.72 | (95) ~ (all_0_20_20 = all_0_25_25)
% 261.10/205.72 | (96) ~ (all_0_30_30 = all_0_35_35)
% 261.10/205.72 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 261.10/205.72 | (98) ~ (all_0_25_25 = all_0_35_35)
% 261.10/205.72 | (99) op(all_0_27_27, all_0_27_27) = e2
% 261.10/205.72 | (100) ~ (all_0_26_26 = all_0_27_27)
% 261.10/205.72 | (101) ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.10/205.72 | (102) ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.10/205.72 | (103) 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
% 261.10/205.72 | (104) ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))
% 261.10/205.72 | (105) ~ (all_0_33_33 = e0) | (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))
% 261.10/205.72 | (106) ~ (all_0_27_27 = all_0_28_28)
% 261.10/205.72 | (107) ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 261.10/205.72 | (108) ~ (all_0_15_15 = e2) | (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 261.10/205.72 | (109) ~ (all_0_29_29 = all_0_39_39)
% 261.10/205.72 | (110) ~ (all_0_18_18 = all_0_23_23)
% 261.10/205.72 | (111) 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
% 261.10/205.72 | (112) ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 261.10/205.72 | (113) ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 261.10/205.72 | (114) 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
% 261.10/205.72 | (115) 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
% 261.10/205.72 | (116) ~ (all_0_20_20 = all_0_30_30)
% 261.10/205.72 | (117) ~ (all_0_36_36 = all_0_39_39)
% 261.10/205.72 | (118) ~ (all_0_23_23 = all_0_24_24)
% 261.10/205.72 | (119) ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 261.10/205.72 | (120) ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 261.10/205.72 | (121) ~ (all_0_35_35 = all_0_37_37)
% 261.10/205.72 | (122) 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
% 261.10/205.72 | (123) ~ (all_0_34_34 = all_0_39_39)
% 261.10/205.72 | (124) op(all_0_16_16, all_0_20_20) = e3
% 261.10/205.72 | (125) 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
% 261.10/205.72 | (126) 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
% 261.10/205.72 | (127) 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
% 261.10/205.72 | (128) ~ (all_0_25_25 = all_0_26_26)
% 261.10/205.72 | (129) ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))
% 261.10/205.72 | (130) ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))
% 261.10/205.72 | (131) op(e1, e3) = all_0_31_31
% 261.10/205.72 | (132) ~ (all_0_17_17 = all_0_37_37)
% 261.10/205.72 | (133) ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 261.10/205.72 | (134) ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 261.10/205.72 | (135) 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
% 261.10/205.72 | (136) op(e3, e1) = all_0_23_23
% 261.10/205.72 | (137) 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
% 261.10/205.72 | (138) op(all_0_21_21, all_0_21_21) = e3
% 261.10/205.72 | (139) ~ (all_0_16_16 = all_0_26_26)
% 261.10/205.72 | (140) ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))
% 261.10/205.72 | (141) ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))
% 261.10/205.72 | (142) ~ (all_0_18_18 = all_0_38_38)
% 261.10/205.72 | (143) ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.10/205.72 | (144) ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.10/205.73 | (145) ~ (all_0_26_26 = all_0_31_31)
% 261.10/205.73 | (146) ~ (all_0_15_15 = all_0_20_20)
% 261.10/205.73 | (147) op(all_0_26_26, all_0_22_22) = e3
% 261.10/205.73 | (148) op(all_0_33_33, all_0_33_33) = e1
% 261.10/205.73 | (149) ~ (all_0_27_27 = all_0_32_32)
% 261.10/205.73 | (150) ~ (all_0_21_21 = all_0_36_36)
% 261.10/205.73 | (151) ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 261.10/205.73 | (152) ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 261.10/205.73 | (153) 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
% 261.10/205.73 | (154) 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
% 261.10/205.73 | (155) 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
% 261.55/205.73 | (156) op(e3, e0) = all_0_24_24
% 261.55/205.73 | (157) ~ (all_0_15_15 = all_0_35_35)
% 261.55/205.73 | (158) op(all_0_24_24, all_0_36_36) = e0
% 261.55/205.73 | (159) 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
% 261.55/205.73 | (160) ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))
% 261.55/205.73 | (161) ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))
% 261.55/205.73 | (162) 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
% 261.55/205.73 | (163) 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
% 261.55/205.73 | (164) 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
% 261.55/205.73 | (165) 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
% 261.55/205.73 | (166) 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
% 261.55/205.73 | (167) ~ (all_0_20_20 = all_0_24_24)
% 261.55/205.73 | (168) 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
% 261.55/205.73 | (169) ~ (all_0_16_16 = all_0_17_17)
% 261.55/205.73 | (170) ~ (all_0_26_26 = all_0_36_36)
% 261.55/205.73 | (171) ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))
% 261.55/205.73 | (172) ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))
% 261.55/205.73 | (173) ~ (all_0_35_35 = all_0_38_38)
% 261.55/205.73 | (174) ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 261.55/205.73 | (175) ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 261.55/205.73 | (176) ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 261.55/205.73 | (177) ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 261.55/205.73 | (178) ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 261.55/205.73 | (179) ~ (all_0_27_27 = e4) | (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 261.55/205.73 | (180) ~ (all_0_21_21 = all_0_24_24)
% 261.55/205.73 | (181) op(all_0_34_34, all_0_38_38) = e0
% 261.55/205.73 | (182) 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
% 261.55/205.73 | (183) ~ (all_0_36_36 = all_0_37_37)
% 261.55/205.73 | (184) ~ (all_0_17_17 = all_0_22_22)
% 261.55/205.73 | (185) 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
% 261.55/205.73 | (186) ~ (all_0_30_30 = all_0_32_32)
% 261.55/205.73 | (187) 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
% 261.55/205.73 | (188) ~ (all_0_31_31 = all_0_34_34)
% 261.55/205.73 | (189) ~ (all_0_23_23 = all_0_33_33)
% 261.55/205.73 | (190) ~ (all_0_15_15 = all_0_19_19)
% 261.55/205.73 | (191) ~ (all_0_35_35 = all_0_39_39)
% 261.55/205.73 | (192) 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
% 261.55/205.73 | (193) ~ (all_0_25_25 = all_0_28_28)
% 261.55/205.73 | (194) ~ (all_0_21_21 = all_0_23_23)
% 261.55/205.73 | (195) op(e2, e3) = all_0_26_26
% 261.55/205.73 | (196) ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))
% 261.55/205.73 | (197) ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))
% 261.55/205.73 | (198) ~ (all_0_28_28 = all_0_38_38)
% 261.55/205.73 | (199) ~ (all_0_32_32 = all_0_34_34)
% 261.55/205.73 | (200) op(all_0_32_32, all_0_28_28) = e2
% 261.55/205.73 | (201) ~ (all_0_32_32 = all_0_33_33)
% 261.55/205.73 | (202) ~ (all_0_22_22 = all_0_37_37)
% 261.55/205.73 | (203) 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
% 261.55/205.73 | (204) ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 261.55/205.73 | (205) ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 261.55/205.73 | (206) 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
% 261.55/205.73 | (207) op(e3, e2) = all_0_22_22
% 261.55/205.73 | (208) ~ (all_0_18_18 = all_0_33_33)
% 261.55/205.73 | (209) ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 261.55/205.73 | (210) ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 261.55/205.73 | (211) ~ (all_0_20_20 = all_0_22_22)
% 261.55/205.73 | (212) ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.73 | (213) ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.73 | (214) 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
% 261.55/205.73 | (215) 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
% 261.55/205.73 | (216) op(e0, e4) = all_0_35_35
% 261.55/205.73 | (217) ~ (all_0_30_30 = all_0_31_31)
% 261.55/205.73 | (218) op(e4, e4) = all_0_15_15
% 261.55/205.73 | (219) op(e4, e2) = all_0_17_17
% 261.55/205.73 | (220) ~ (all_0_27_27 = all_0_37_37)
% 261.55/205.73 | (221) op(e1, e0) = all_0_34_34
% 261.55/205.73 | (222) 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
% 261.55/205.73 | (223) ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 261.55/205.73 | (224) ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 261.55/205.73 | (225) 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
% 261.55/205.74 | (226) ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e0)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))
% 261.55/205.74 | (227) ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e1)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))
% 261.55/205.74 | (228) 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
% 261.55/205.74 | (229) ~ (all_0_19_19 = all_0_29_29)
% 261.55/205.74 | (230) 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
% 261.55/205.74 | (231) 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
% 261.55/205.74 | (232) 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
% 261.55/205.74 | (233) op(e2, e4) = all_0_25_25
% 261.55/205.74 | (234) op(all_0_22_22, all_0_26_26) = e2
% 261.55/205.74 | (235) op(e0, e1) = all_0_38_38
% 261.55/205.74 | (236) ~ (all_0_16_16 = all_0_19_19)
% 261.55/205.74 | (237) ~ (all_0_28_28 = all_0_33_33)
% 261.55/205.74 | (238) op(all_0_18_18, all_0_30_30) = e1
% 261.55/205.74 | (239) 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
% 261.55/205.74 | (240) 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
% 261.55/205.74 | (241) 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
% 261.55/205.74 | (242) 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
% 261.55/205.74 | (243) ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 261.55/205.74 | (244) ~ (all_0_33_33 = e3) | (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 261.55/205.74 | (245) 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
% 261.55/205.74 | (246) ~ (all_0_31_31 = all_0_33_33)
% 261.55/205.74 | (247) ~ (all_0_31_31 = all_0_32_32)
% 261.55/205.74 | (248) ~ (all_0_27_27 = all_0_29_29)
% 261.55/205.74 | (249) ~ (all_0_20_20 = all_0_35_35)
% 261.55/205.74 | (250) ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 261.55/205.74 | (251) ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 261.55/205.74 | (252) ( ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)) | ( ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0)) | ( ~ (all_0_25_25 = e4) & ~ (all_0_26_26 = e3) & ~ (all_0_27_27 = e2) & ~ (all_0_28_28 = e1) & ~ (all_0_29_29 = e0)) | ( ~ (all_0_30_30 = e4) & ~ (all_0_31_31 = e3) & ~ (all_0_32_32 = e2) & ~ (all_0_33_33 = e1) & ~ (all_0_34_34 = e0)) | ( ~ (all_0_35_35 = e4) & ~ (all_0_36_36 = e3) & ~ (all_0_37_37 = e2) & ~ (all_0_38_38 = e1) & ~ (all_0_39_39 = e0))
% 261.55/205.74 | (253) ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e1)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))
% 261.55/205.74 | (254) ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))
% 261.55/205.74 | (255) ~ (all_0_21_21 = all_0_31_31)
% 261.55/205.74 | (256) 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
% 261.55/205.74 | (257) ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 261.55/205.74 | (258) ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 261.55/205.74 | (259) 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
% 261.55/205.74 | (260) ~ (all_0_37_37 = all_0_39_39)
% 261.55/205.74 | (261) 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
% 261.55/205.74 | (262) ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 261.55/205.74 | (263) ~ (all_0_15_15 = e1) | (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 261.55/205.74 | (264) op(e2, e1) = all_0_28_28
% 261.55/205.74 | (265) ~ (all_0_21_21 = all_0_26_26)
% 261.55/205.74 | (266) ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 261.55/205.74 | (267) ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 261.55/205.74 | (268) ~ (all_0_22_22 = all_0_24_24)
% 261.55/205.74 | (269) 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
% 261.55/205.74 | (270) 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
% 261.55/205.74 | (271) 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
% 261.55/205.74 | (272) ~ (all_0_20_20 = all_0_23_23)
% 261.55/205.74 | (273) ~ (all_0_35_35 = all_0_36_36)
% 261.55/205.74 | (274) op(e3, e4) = all_0_20_20
% 261.55/205.74 | (275) ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 261.55/205.74 | (276) ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 261.55/205.74 | (277) ~ (e4 = e3)
% 261.55/205.74 | (278) ~ (all_0_19_19 = all_0_39_39)
% 261.55/205.74 | (279) 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
% 261.55/205.74 | (280) ~ (all_0_19_19 = all_0_34_34)
% 261.55/205.74 | (281) ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))
% 261.55/205.74 | (282) ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))
% 261.55/205.74 | (283) ~ (all_0_30_30 = all_0_33_33)
% 261.55/205.74 | (284) op(e0, e3) = all_0_36_36
% 261.55/205.74 | (285) 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
% 261.55/205.74 | (286) ~ (all_0_17_17 = all_0_32_32)
% 261.55/205.74 | (287) ~ (e4 = e0)
% 261.55/205.74 | (288) op(e1, e1) = all_0_33_33
% 261.55/205.74 | (289) ~ (all_0_25_25 = all_0_27_27)
% 261.55/205.74 | (290) op(all_0_30_30, all_0_18_18) = e4
% 261.55/205.74 | (291) ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.74 | (292) ~ (all_0_21_21 = e4) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.74 | (293) ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))
% 261.55/205.74 | (294) ~ (all_0_39_39 = e2) | (all_0_2_2 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_37_37 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_37_37) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_37_37, all_0_37_37) = all_0_1_1)))
% 261.55/205.74 | (295) 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
% 261.55/205.74 | (296) ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e4) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))
% 261.55/205.74 | (297) ~ (all_0_39_39 = e3) | (all_0_2_2 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_36_36 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_36_36) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_36_36, all_0_36_36) = all_0_1_1)))
% 261.55/205.74 | (298) ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))
% 261.55/205.75 | (299) ~ (all_0_39_39 = e1) | (all_0_2_2 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_38_38 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_38_38) = all_0_0_0) | ( ~ (all_0_1_1 = e4) & op(all_0_38_38, all_0_38_38) = all_0_1_1)))
% 261.55/205.75 | (300) ~ (all_0_18_18 = all_0_28_28)
% 261.55/205.75 | (301) op(all_0_31_31, all_0_23_23) = e3
% 261.55/205.75 | (302) op(e1, e2) = all_0_32_32
% 261.55/205.75 | (303) ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e1)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))
% 261.55/205.75 | (304) ~ (all_0_21_21 = e0) | (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))
% 261.55/205.75 | (305) ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 261.55/205.75 | (306) ~ (all_0_15_15 = e0) | (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 261.55/205.75 | (307) ~ (all_0_16_16 = all_0_21_21)
% 261.55/205.75 | (308) 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
% 261.55/205.75 | (309) 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
% 261.55/205.75 | (310) op(all_0_37_37, all_0_29_29) = e2
% 261.55/205.75 | (311) 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
% 261.55/205.75 | (312) op(all_0_38_38, all_0_34_34) = e1
% 261.55/205.75 | (313) op(e2, e2) = all_0_27_27
% 261.55/205.75 | (314) op(e3, e3) = all_0_21_21
% 261.55/205.75 | (315) op(all_0_28_28, all_0_32_32) = e1
% 261.55/205.75 | (316) ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.75 | (317) ~ (all_0_15_15 = e3) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.75 | (318) ~ (e3 = e1)
% 261.55/205.75 | (319) ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 261.55/205.75 | (320) ~ (all_0_33_33 = e4) | (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 261.55/205.75 | (321) ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 261.55/205.75 | (322) ~ (all_0_27_27 = e0) | (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 261.55/205.75 | (323) 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
% 261.55/205.75 | (324) ~ (all_0_33_33 = all_0_38_38)
% 261.55/205.75 | (325) ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 261.55/205.75 | (326) ~ (all_0_21_21 = e1) | (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 261.55/205.75 | (327) 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
% 261.55/205.75 | (328) ~ (all_0_33_33 = all_0_34_34)
% 261.55/205.75 | (329) ~ (e2 = e1)
% 261.55/205.75 | (330) ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 261.55/205.75 | (331) ~ (all_0_39_39 = e4) | (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 261.55/205.75 | (332) op(all_0_19_19, all_0_35_35) = e0
% 261.55/205.75 | (333) ~ (all_0_17_17 = all_0_19_19)
% 261.55/205.75 | (334) 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
% 261.55/205.75 | (335) ~ (all_0_24_24 = all_0_39_39)
% 261.55/205.75 | (336) ~ (all_0_32_32 = all_0_37_37)
% 261.55/205.75 | (337) ~ (all_0_18_18 = all_0_19_19)
% 261.55/205.75 | (338) 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
% 261.55/205.75 | (339) ~ (all_0_21_21 = all_0_22_22)
% 261.55/205.75 | (340) 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
% 261.55/205.75 | (341) ~ (all_0_22_22 = all_0_27_27)
% 261.55/205.75 | (342) ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 261.55/205.75 | (343) ~ (all_0_33_33 = e2) | (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 261.55/205.75 | (344) ~ (all_0_15_15 = all_0_18_18)
% 261.55/205.75 | (345) 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
% 261.55/205.75 | (346) ~ (all_0_22_22 = all_0_23_23)
% 261.55/205.75 | (347) ~ (e2 = e0)
% 261.55/205.75 | (348) op(all_0_29_29, all_0_37_37) = e0
% 261.55/205.75 | (349) ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 261.55/205.75 | (350) ~ (all_0_27_27 = e1) | (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 261.55/205.75 | (351) ~ (all_0_15_15 = all_0_16_16)
% 261.55/205.75 | (352) ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e0)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))
% 261.55/205.75 | (353) ~ (all_0_21_21 = e2) | (all_0_14_14 = all_0_22_22 & ~ (all_0_22_22 = e4)) | (all_0_14_14 = all_0_22_22 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_22_22) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_22_22, all_0_22_22) = all_0_13_13)))
% 261.55/205.75 | (354) ~ (all_0_37_37 = all_0_38_38)
% 261.55/205.75 | (355) ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))
% 261.55/205.75 | (356) ~ (all_0_27_27 = e3) | (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))
% 261.55/205.75 | (357) 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
% 261.55/205.75 | (358) 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
% 261.55/205.75 |
% 261.55/205.75 +-Applying beta-rule and splitting (299), into two cases.
% 261.55/205.75 |-Branch one:
% 261.55/205.75 | (359) ~ (all_0_39_39 = e1)
% 261.55/205.75 |
% 261.55/205.75 +-Applying beta-rule and splitting (293), into two cases.
% 261.55/205.75 |-Branch one:
% 261.55/205.75 | (360) ~ (all_0_39_39 = e2)
% 261.55/205.75 |
% 261.55/205.75 +-Applying beta-rule and splitting (27), into two cases.
% 261.55/205.75 |-Branch one:
% 261.55/205.75 | (361) ~ (all_0_21_21 = e2)
% 261.55/205.75 |
% 261.55/205.75 +-Applying beta-rule and splitting (171), into two cases.
% 261.55/205.75 |-Branch one:
% 261.55/205.75 | (362) ~ (all_0_39_39 = e3)
% 261.55/205.75 |
% 261.55/205.75 +-Applying beta-rule and splitting (325), into two cases.
% 261.55/205.75 |-Branch one:
% 261.55/205.75 | (363) ~ (all_0_21_21 = e1)
% 261.55/205.75 |
% 261.55/205.75 +-Applying beta-rule and splitting (69), into two cases.
% 261.55/205.75 |-Branch one:
% 261.55/205.75 | (364) ~ (all_0_39_39 = e4)
% 261.55/205.75 |
% 261.55/205.75 +-Applying beta-rule and splitting (103), into two cases.
% 261.55/205.75 |-Branch one:
% 261.55/205.75 | (365) all_0_39_39 = e4
% 261.55/205.75 |
% 261.55/205.75 | Equations (365) can reduce 364 to:
% 261.55/205.75 | (366) $false
% 261.55/205.75 |
% 261.55/205.75 |-The branch is then unsatisfiable
% 261.55/205.75 |-Branch two:
% 261.55/205.75 | (364) ~ (all_0_39_39 = e4)
% 261.55/205.75 | (368) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 261.55/205.75 |
% 261.55/205.75 +-Applying beta-rule and splitting (368), into two cases.
% 261.55/205.75 |-Branch one:
% 261.55/205.75 | (369) all_0_39_39 = e3
% 261.55/205.75 |
% 261.55/205.75 | Equations (369) can reduce 362 to:
% 261.55/205.75 | (366) $false
% 261.55/205.75 |
% 261.55/205.75 |-The branch is then unsatisfiable
% 261.55/205.75 |-Branch two:
% 261.55/205.75 | (362) ~ (all_0_39_39 = e3)
% 261.55/205.75 | (372) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (372), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (373) all_0_39_39 = e2
% 261.55/205.76 |
% 261.55/205.76 | Equations (373) can reduce 360 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (360) ~ (all_0_39_39 = e2)
% 261.55/205.76 | (376) all_0_39_39 = e1 | all_0_39_39 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (376), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (377) all_0_39_39 = e1
% 261.55/205.76 |
% 261.55/205.76 | Equations (377) can reduce 359 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (359) ~ (all_0_39_39 = e1)
% 261.55/205.76 | (380) all_0_39_39 = e0
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 278 to:
% 261.55/205.76 | (381) ~ (all_0_19_19 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 335 to:
% 261.55/205.76 | (382) ~ (all_0_24_24 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 109 to:
% 261.55/205.76 | (383) ~ (all_0_29_29 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 123 to:
% 261.55/205.76 | (384) ~ (all_0_34_34 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 191 to:
% 261.55/205.76 | (385) ~ (all_0_35_35 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 117 to:
% 261.55/205.76 | (386) ~ (all_0_36_36 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 260 to:
% 261.55/205.76 | (387) ~ (all_0_37_37 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 18 to:
% 261.55/205.76 | (388) ~ (all_0_38_38 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 364 to:
% 261.55/205.76 | (389) ~ (e4 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Simplifying 389 yields:
% 261.55/205.76 | (287) ~ (e4 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 362 to:
% 261.55/205.76 | (391) ~ (e3 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Simplifying 391 yields:
% 261.55/205.76 | (88) ~ (e3 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 360 to:
% 261.55/205.76 | (393) ~ (e2 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Simplifying 393 yields:
% 261.55/205.76 | (347) ~ (e2 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Equations (380) can reduce 359 to:
% 261.55/205.76 | (395) ~ (e1 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Simplifying 395 yields:
% 261.55/205.76 | (37) ~ (e1 = e0)
% 261.55/205.76 |
% 261.55/205.76 | From (380) and (30) follows:
% 261.55/205.76 | (397) op(e0, e0) = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (160), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (398) ~ (all_0_21_21 = e0)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (81), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (399) ~ (all_0_33_33 = e0)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (77), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (400) ~ (all_0_27_27 = e3)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (90), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (401) ~ (all_0_33_33 = e2)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (151), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (402) ~ (all_0_27_27 = e1)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (13), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (403) ~ (all_0_33_33 = e3)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (177), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (404) ~ (all_0_27_27 = e4)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (320), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (405) ~ (all_0_33_33 = e4)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (295), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (406) all_0_33_33 = e4
% 261.55/205.76 |
% 261.55/205.76 | Equations (406) can reduce 405 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (405) ~ (all_0_33_33 = e4)
% 261.55/205.76 | (409) all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (409), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (410) all_0_33_33 = e3
% 261.55/205.76 |
% 261.55/205.76 | Equations (410) can reduce 403 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (403) ~ (all_0_33_33 = e3)
% 261.55/205.76 | (413) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (413), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (414) all_0_33_33 = e2
% 261.55/205.76 |
% 261.55/205.76 | Equations (414) can reduce 401 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (401) ~ (all_0_33_33 = e2)
% 261.55/205.76 | (417) all_0_33_33 = e1 | all_0_33_33 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (417), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (418) all_0_33_33 = e1
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 208 to:
% 261.55/205.76 | (419) ~ (all_0_18_18 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 189 to:
% 261.55/205.76 | (420) ~ (all_0_23_23 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 237 to:
% 261.55/205.76 | (421) ~ (all_0_28_28 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 283 to:
% 261.55/205.76 | (422) ~ (all_0_30_30 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 246 to:
% 261.55/205.76 | (423) ~ (all_0_31_31 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 201 to:
% 261.55/205.76 | (424) ~ (all_0_32_32 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 328 to:
% 261.55/205.76 | (425) ~ (all_0_34_34 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Simplifying 425 yields:
% 261.55/205.76 | (426) ~ (all_0_34_34 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 324 to:
% 261.55/205.76 | (427) ~ (all_0_38_38 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Simplifying 427 yields:
% 261.55/205.76 | (428) ~ (all_0_38_38 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 403 to:
% 261.55/205.76 | (429) ~ (e3 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Simplifying 429 yields:
% 261.55/205.76 | (318) ~ (e3 = e1)
% 261.55/205.76 |
% 261.55/205.76 | Equations (418) can reduce 399 to:
% 261.55/205.76 | (37) ~ (e1 = e0)
% 261.55/205.76 |
% 261.55/205.76 | From (418) and (288) follows:
% 261.55/205.76 | (432) op(e1, e1) = e1
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (212), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (433) ~ (all_0_15_15 = e3)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (266), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (434) ~ (all_0_27_27 = e0)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (6), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (435) all_0_27_27 = e4
% 261.55/205.76 |
% 261.55/205.76 | Equations (435) can reduce 404 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (404) ~ (all_0_27_27 = e4)
% 261.55/205.76 | (438) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (438), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (439) all_0_27_27 = e3
% 261.55/205.76 |
% 261.55/205.76 | Equations (439) can reduce 400 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (400) ~ (all_0_27_27 = e3)
% 261.55/205.76 | (442) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (442), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (443) all_0_27_27 = e2
% 261.55/205.76 |
% 261.55/205.76 | Equations (443) can reduce 404 to:
% 261.55/205.76 | (444) ~ (e4 = e2)
% 261.55/205.76 |
% 261.55/205.76 | Simplifying 444 yields:
% 261.55/205.76 | (19) ~ (e4 = e2)
% 261.55/205.76 |
% 261.55/205.76 | From (443) and (313) follows:
% 261.55/205.76 | (446) op(e2, e2) = e2
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (80), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (447) ~ (all_0_15_15 = e2)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (291), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (448) ~ (all_0_21_21 = e4)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (35), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (449) all_0_21_21 = e4
% 261.55/205.76 |
% 261.55/205.76 | Equations (449) can reduce 448 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (448) ~ (all_0_21_21 = e4)
% 261.55/205.76 | (452) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (452), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (453) all_0_21_21 = e3
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (252), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (454) ( ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)) | ( ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0)) | ( ~ (all_0_25_25 = e4) & ~ (all_0_26_26 = e3) & ~ (all_0_27_27 = e2) & ~ (all_0_28_28 = e1) & ~ (all_0_29_29 = e0)) | ( ~ (all_0_30_30 = e4) & ~ (all_0_31_31 = e3) & ~ (all_0_32_32 = e2) & ~ (all_0_33_33 = e1) & ~ (all_0_34_34 = e0))
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (454), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (455) ( ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)) | ( ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0)) | ( ~ (all_0_25_25 = e4) & ~ (all_0_26_26 = e3) & ~ (all_0_27_27 = e2) & ~ (all_0_28_28 = e1) & ~ (all_0_29_29 = e0))
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (455), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (456) ( ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)) | ( ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0))
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (456), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (457) ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)
% 261.55/205.76 |
% 261.55/205.76 | Applying alpha-rule on (457) yields:
% 261.55/205.76 | (458) ~ (all_0_16_16 = e3)
% 261.55/205.76 | (459) ~ (all_0_17_17 = e2)
% 261.55/205.76 | (460) ~ (all_0_15_15 = e4)
% 261.55/205.76 | (419) ~ (all_0_18_18 = e1)
% 261.55/205.76 | (381) ~ (all_0_19_19 = e0)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (112), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (463) ~ (all_0_15_15 = e0)
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (311), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (464) all_0_15_15 = e4
% 261.55/205.76 |
% 261.55/205.76 | Equations (464) can reduce 460 to:
% 261.55/205.76 | (366) $false
% 261.55/205.76 |
% 261.55/205.76 |-The branch is then unsatisfiable
% 261.55/205.76 |-Branch two:
% 261.55/205.76 | (460) ~ (all_0_15_15 = e4)
% 261.55/205.76 | (467) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 261.55/205.76 |
% 261.55/205.76 +-Applying beta-rule and splitting (467), into two cases.
% 261.55/205.76 |-Branch one:
% 261.55/205.76 | (468) all_0_15_15 = e3
% 261.55/205.76 |
% 261.55/205.76 | Equations (468) can reduce 433 to:
% 261.55/205.76 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (433) ~ (all_0_15_15 = e3)
% 261.55/205.77 | (471) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 261.55/205.77 |
% 261.55/205.77 +-Applying beta-rule and splitting (471), into two cases.
% 261.55/205.77 |-Branch one:
% 261.55/205.77 | (472) all_0_15_15 = e2
% 261.55/205.77 |
% 261.55/205.77 | Equations (472) can reduce 447 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (447) ~ (all_0_15_15 = e2)
% 261.55/205.77 | (475) all_0_15_15 = e1 | all_0_15_15 = e0
% 261.55/205.77 |
% 261.55/205.77 +-Applying beta-rule and splitting (475), into two cases.
% 261.55/205.77 |-Branch one:
% 261.55/205.77 | (476) all_0_15_15 = e1
% 261.55/205.77 |
% 261.55/205.77 | Equations (476) can reduce 460 to:
% 261.55/205.77 | (477) ~ (e4 = e1)
% 261.55/205.77 |
% 261.55/205.77 | Simplifying 477 yields:
% 261.55/205.77 | (65) ~ (e4 = e1)
% 261.55/205.77 |
% 261.55/205.77 | From (476)(476) and (53) follows:
% 261.55/205.77 | (479) op(e1, e1) = e4
% 261.55/205.77 |
% 261.55/205.77 | Instantiating formula (97) with e1, e1, e4, e1 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields:
% 261.55/205.77 | (480) e4 = e1
% 261.55/205.77 |
% 261.55/205.77 | Equations (480) can reduce 65 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (482) ~ (all_0_15_15 = e1)
% 261.55/205.77 | (483) all_0_15_15 = e0
% 261.55/205.77 |
% 261.55/205.77 | Equations (483) can reduce 463 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (483) all_0_15_15 = e0
% 261.55/205.77 | (486) (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 261.55/205.77 |
% 261.55/205.77 | Equations (483) can reduce 460 to:
% 261.55/205.77 | (389) ~ (e4 = e0)
% 261.55/205.77 |
% 261.55/205.77 | Simplifying 389 yields:
% 261.55/205.77 | (287) ~ (e4 = e0)
% 261.55/205.77 |
% 261.55/205.77 | From (483)(483) and (53) follows:
% 261.55/205.77 | (489) op(e0, e0) = e4
% 261.55/205.77 |
% 261.55/205.77 | Instantiating formula (97) with e0, e0, e4, e0 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields:
% 261.55/205.77 | (490) e4 = e0
% 261.55/205.77 |
% 261.55/205.77 | Equations (490) can reduce 287 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (492) ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0)
% 261.55/205.77 |
% 261.55/205.77 | Applying alpha-rule on (492) yields:
% 261.55/205.77 | (493) ~ (all_0_22_22 = e2)
% 261.55/205.77 | (494) ~ (all_0_21_21 = e3)
% 261.55/205.77 | (420) ~ (all_0_23_23 = e1)
% 261.55/205.77 | (496) ~ (all_0_20_20 = e4)
% 261.55/205.77 | (382) ~ (all_0_24_24 = e0)
% 261.55/205.77 |
% 261.55/205.77 | Equations (453) can reduce 494 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (499) ~ (all_0_25_25 = e4) & ~ (all_0_26_26 = e3) & ~ (all_0_27_27 = e2) & ~ (all_0_28_28 = e1) & ~ (all_0_29_29 = e0)
% 261.55/205.77 |
% 261.55/205.77 | Applying alpha-rule on (499) yields:
% 261.55/205.77 | (500) ~ (all_0_27_27 = e2)
% 261.55/205.77 | (501) ~ (all_0_25_25 = e4)
% 261.55/205.77 | (383) ~ (all_0_29_29 = e0)
% 261.55/205.77 | (421) ~ (all_0_28_28 = e1)
% 261.55/205.77 | (504) ~ (all_0_26_26 = e3)
% 261.55/205.77 |
% 261.55/205.77 | Equations (443) can reduce 500 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (506) ~ (all_0_30_30 = e4) & ~ (all_0_31_31 = e3) & ~ (all_0_32_32 = e2) & ~ (all_0_33_33 = e1) & ~ (all_0_34_34 = e0)
% 261.55/205.77 |
% 261.55/205.77 | Applying alpha-rule on (506) yields:
% 261.55/205.77 | (507) ~ (all_0_33_33 = e1)
% 261.55/205.77 | (508) ~ (all_0_32_32 = e2)
% 261.55/205.77 | (509) ~ (all_0_30_30 = e4)
% 261.55/205.77 | (510) ~ (all_0_31_31 = e3)
% 261.55/205.77 | (384) ~ (all_0_34_34 = e0)
% 261.55/205.77 |
% 261.55/205.77 | Equations (418) can reduce 507 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (513) ~ (all_0_35_35 = e4) & ~ (all_0_36_36 = e3) & ~ (all_0_37_37 = e2) & ~ (all_0_38_38 = e1) & ~ (all_0_39_39 = e0)
% 261.55/205.77 |
% 261.55/205.77 | Applying alpha-rule on (513) yields:
% 261.55/205.77 | (514) ~ (all_0_35_35 = e4)
% 261.55/205.77 | (515) ~ (all_0_37_37 = e2)
% 261.55/205.77 | (516) ~ (all_0_36_36 = e3)
% 261.55/205.77 | (428) ~ (all_0_38_38 = e1)
% 261.55/205.77 | (518) ~ (all_0_39_39 = e0)
% 261.55/205.77 |
% 261.55/205.77 | Equations (380) can reduce 518 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (494) ~ (all_0_21_21 = e3)
% 261.55/205.77 | (521) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 261.55/205.77 |
% 261.55/205.77 +-Applying beta-rule and splitting (521), into two cases.
% 261.55/205.77 |-Branch one:
% 261.55/205.77 | (522) all_0_21_21 = e2
% 261.55/205.77 |
% 261.55/205.77 | Equations (522) can reduce 361 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (361) ~ (all_0_21_21 = e2)
% 261.55/205.77 | (525) all_0_21_21 = e1 | all_0_21_21 = e0
% 261.55/205.77 |
% 261.55/205.77 +-Applying beta-rule and splitting (525), into two cases.
% 261.55/205.77 |-Branch one:
% 261.55/205.77 | (526) all_0_21_21 = e1
% 261.55/205.77 |
% 261.55/205.77 | Equations (526) can reduce 363 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (363) ~ (all_0_21_21 = e1)
% 261.55/205.77 | (529) all_0_21_21 = e0
% 261.55/205.77 |
% 261.55/205.77 | Equations (529) can reduce 398 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (449) all_0_21_21 = e4
% 261.55/205.77 | (532) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.77 |
% 261.55/205.77 | From (449)(449) and (138) follows:
% 261.55/205.77 | (533) op(e4, e4) = e3
% 261.55/205.77 |
% 261.55/205.77 | Instantiating formula (97) with e4, e4, e3, all_0_15_15 and discharging atoms op(e4, e4) = all_0_15_15, op(e4, e4) = e3, yields:
% 261.55/205.77 | (468) all_0_15_15 = e3
% 261.55/205.77 |
% 261.55/205.77 | Equations (468) can reduce 433 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (472) all_0_15_15 = e2
% 261.55/205.77 | (537) (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 261.55/205.77 |
% 261.55/205.77 | From (472)(472) and (53) follows:
% 261.55/205.77 | (538) op(e2, e2) = e4
% 261.55/205.77 |
% 261.55/205.77 | Instantiating formula (97) with e2, e2, e4, e2 and discharging atoms op(e2, e2) = e4, op(e2, e2) = e2, yields:
% 261.55/205.77 | (539) e4 = e2
% 261.55/205.77 |
% 261.55/205.77 | Equations (539) can reduce 19 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (500) ~ (all_0_27_27 = e2)
% 261.55/205.77 | (542) all_0_27_27 = e1 | all_0_27_27 = e0
% 261.55/205.77 |
% 261.55/205.77 +-Applying beta-rule and splitting (542), into two cases.
% 261.55/205.77 |-Branch one:
% 261.55/205.77 | (543) all_0_27_27 = e1
% 261.55/205.77 |
% 261.55/205.77 | Equations (543) can reduce 402 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (402) ~ (all_0_27_27 = e1)
% 261.55/205.77 | (546) all_0_27_27 = e0
% 261.55/205.77 |
% 261.55/205.77 | Equations (546) can reduce 434 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (546) all_0_27_27 = e0
% 261.55/205.77 | (549) (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 261.55/205.77 |
% 261.55/205.77 | From (546)(546) and (99) follows:
% 261.55/205.77 | (550) op(e0, e0) = e2
% 261.55/205.77 |
% 261.55/205.77 | Instantiating formula (97) with e0, e0, e2, e0 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields:
% 261.55/205.77 | (551) e2 = e0
% 261.55/205.77 |
% 261.55/205.77 | Equations (551) can reduce 347 to:
% 261.55/205.77 | (366) $false
% 261.55/205.77 |
% 261.55/205.77 |-The branch is then unsatisfiable
% 261.55/205.77 |-Branch two:
% 261.55/205.77 | (468) all_0_15_15 = e3
% 261.55/205.77 | (554) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.77 |
% 261.55/205.77 | Equations (468) can reduce 351 to:
% 261.55/205.77 | (555) ~ (all_0_16_16 = e3)
% 261.55/205.77 |
% 261.55/205.78 | Simplifying 555 yields:
% 261.55/205.78 | (458) ~ (all_0_16_16 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 66 to:
% 261.55/205.78 | (557) ~ (all_0_17_17 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 557 yields:
% 261.55/205.78 | (558) ~ (all_0_17_17 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 344 to:
% 261.55/205.78 | (559) ~ (all_0_18_18 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 559 yields:
% 261.55/205.78 | (560) ~ (all_0_18_18 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 190 to:
% 261.55/205.78 | (561) ~ (all_0_19_19 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 561 yields:
% 261.55/205.78 | (562) ~ (all_0_19_19 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 146 to:
% 261.55/205.78 | (563) ~ (all_0_20_20 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 563 yields:
% 261.55/205.78 | (564) ~ (all_0_20_20 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 52 to:
% 261.55/205.78 | (565) ~ (all_0_25_25 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 565 yields:
% 261.55/205.78 | (566) ~ (all_0_25_25 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 84 to:
% 261.55/205.78 | (567) ~ (all_0_30_30 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 567 yields:
% 261.55/205.78 | (568) ~ (all_0_30_30 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 157 to:
% 261.55/205.78 | (569) ~ (all_0_35_35 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 569 yields:
% 261.55/205.78 | (570) ~ (all_0_35_35 = e3)
% 261.55/205.78 |
% 261.55/205.78 | From (468)(468) and (53) follows:
% 261.55/205.78 | (571) op(e3, e3) = e4
% 261.55/205.78 |
% 261.55/205.78 | Instantiating formula (97) with e3, e3, e4, all_0_21_21 and discharging atoms op(e3, e3) = all_0_21_21, op(e3, e3) = e4, yields:
% 261.55/205.78 | (449) all_0_21_21 = e4
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 307 to:
% 261.55/205.78 | (573) ~ (all_0_16_16 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 71 to:
% 261.55/205.78 | (496) ~ (all_0_20_20 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 339 to:
% 261.55/205.78 | (575) ~ (all_0_22_22 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 575 yields:
% 261.55/205.78 | (576) ~ (all_0_22_22 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 194 to:
% 261.55/205.78 | (577) ~ (all_0_23_23 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 577 yields:
% 261.55/205.78 | (578) ~ (all_0_23_23 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 180 to:
% 261.55/205.78 | (579) ~ (all_0_24_24 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 579 yields:
% 261.55/205.78 | (580) ~ (all_0_24_24 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 265 to:
% 261.55/205.78 | (581) ~ (all_0_26_26 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 581 yields:
% 261.55/205.78 | (582) ~ (all_0_26_26 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 255 to:
% 261.55/205.78 | (583) ~ (all_0_31_31 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 583 yields:
% 261.55/205.78 | (584) ~ (all_0_31_31 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 150 to:
% 261.55/205.78 | (585) ~ (all_0_36_36 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 585 yields:
% 261.55/205.78 | (586) ~ (all_0_36_36 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 363 to:
% 261.55/205.78 | (65) ~ (e4 = e1)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 398 to:
% 261.55/205.78 | (287) ~ (e4 = e0)
% 261.55/205.78 |
% 261.55/205.78 | From (449)(449) and (138) follows:
% 261.55/205.78 | (533) op(e4, e4) = e3
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (43), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (448) ~ (all_0_21_21 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 448 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (449) all_0_21_21 = e4
% 261.55/205.78 | (593) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (213), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (433) ~ (all_0_15_15 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 433 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (468) all_0_15_15 = e3
% 261.55/205.78 | (597) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (42), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (448) ~ (all_0_21_21 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 448 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (449) all_0_21_21 = e4
% 261.55/205.78 | (601) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (317), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (433) ~ (all_0_15_15 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 433 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (468) all_0_15_15 = e3
% 261.55/205.78 | (605) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (292), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (448) ~ (all_0_21_21 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 448 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (449) all_0_21_21 = e4
% 261.55/205.78 | (609) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (101), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (433) ~ (all_0_15_15 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 433 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (468) all_0_15_15 = e3
% 261.55/205.78 | (613) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (143), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (448) ~ (all_0_21_21 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 448 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (449) all_0_21_21 = e4
% 261.55/205.78 | (617) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (316), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (433) ~ (all_0_15_15 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 433 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (468) all_0_15_15 = e3
% 261.55/205.78 | (621) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (291), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (448) ~ (all_0_21_21 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 448 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (449) all_0_21_21 = e4
% 261.55/205.78 | (532) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (144), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (448) ~ (all_0_21_21 = e4)
% 261.55/205.78 |
% 261.55/205.78 | Equations (449) can reduce 448 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (449) all_0_21_21 = e4
% 261.55/205.78 | (629) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (102), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (433) ~ (all_0_15_15 = e3)
% 261.55/205.78 |
% 261.55/205.78 | Equations (468) can reduce 433 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (468) all_0_15_15 = e3
% 261.55/205.78 | (633) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (91), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (434) ~ (all_0_27_27 = e0)
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (6), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (435) all_0_27_27 = e4
% 261.55/205.78 |
% 261.55/205.78 | Equations (435) can reduce 404 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (404) ~ (all_0_27_27 = e4)
% 261.55/205.78 | (438) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (438), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (439) all_0_27_27 = e3
% 261.55/205.78 |
% 261.55/205.78 | Equations (439) can reduce 400 to:
% 261.55/205.78 | (366) $false
% 261.55/205.78 |
% 261.55/205.78 |-The branch is then unsatisfiable
% 261.55/205.78 |-Branch two:
% 261.55/205.78 | (400) ~ (all_0_27_27 = e3)
% 261.55/205.78 | (442) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 261.55/205.78 |
% 261.55/205.78 +-Applying beta-rule and splitting (442), into two cases.
% 261.55/205.78 |-Branch one:
% 261.55/205.78 | (443) all_0_27_27 = e2
% 261.55/205.78 |
% 261.55/205.78 | Equations (443) can reduce 3 to:
% 261.55/205.78 | (459) ~ (all_0_17_17 = e2)
% 261.55/205.78 |
% 261.55/205.78 | Equations (443) can reduce 341 to:
% 261.55/205.78 | (493) ~ (all_0_22_22 = e2)
% 261.55/205.78 |
% 261.55/205.78 | Equations (443) can reduce 289 to:
% 261.55/205.78 | (646) ~ (all_0_25_25 = e2)
% 261.55/205.78 |
% 261.55/205.78 | Equations (443) can reduce 100 to:
% 261.55/205.78 | (647) ~ (all_0_26_26 = e2)
% 261.55/205.78 |
% 261.55/205.78 | Equations (443) can reduce 106 to:
% 261.55/205.78 | (648) ~ (all_0_28_28 = e2)
% 261.55/205.78 |
% 261.55/205.78 | Simplifying 648 yields:
% 261.55/205.78 | (649) ~ (all_0_28_28 = e2)
% 261.55/205.78 |
% 261.55/205.79 | Equations (443) can reduce 248 to:
% 261.55/205.79 | (650) ~ (all_0_29_29 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 650 yields:
% 261.55/205.79 | (651) ~ (all_0_29_29 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (443) can reduce 149 to:
% 261.55/205.79 | (652) ~ (all_0_32_32 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 652 yields:
% 261.55/205.79 | (508) ~ (all_0_32_32 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (443) can reduce 220 to:
% 261.55/205.79 | (654) ~ (all_0_37_37 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 654 yields:
% 261.55/205.79 | (515) ~ (all_0_37_37 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (443) can reduce 404 to:
% 261.55/205.79 | (444) ~ (e4 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 444 yields:
% 261.55/205.79 | (19) ~ (e4 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (443) can reduce 400 to:
% 261.55/205.79 | (658) ~ (e3 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 658 yields:
% 261.55/205.79 | (56) ~ (e3 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (443) can reduce 402 to:
% 261.55/205.79 | (329) ~ (e2 = e1)
% 261.55/205.79 |
% 261.55/205.79 | Equations (443) can reduce 434 to:
% 261.55/205.79 | (347) ~ (e2 = e0)
% 261.55/205.79 |
% 261.55/205.79 | From (443) and (313) follows:
% 261.55/205.79 | (446) op(e2, e2) = e2
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (192), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (663) all_0_19_19 = e2
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 236 to:
% 261.55/205.79 | (664) ~ (all_0_16_16 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 333 to:
% 261.55/205.79 | (459) ~ (all_0_17_17 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 337 to:
% 261.55/205.79 | (666) ~ (all_0_18_18 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 87 to:
% 261.55/205.79 | (667) ~ (all_0_24_24 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 667 yields:
% 261.55/205.79 | (668) ~ (all_0_24_24 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 229 to:
% 261.55/205.79 | (650) ~ (all_0_29_29 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 650 yields:
% 261.55/205.79 | (651) ~ (all_0_29_29 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 280 to:
% 261.55/205.79 | (671) ~ (all_0_34_34 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 671 yields:
% 261.55/205.79 | (672) ~ (all_0_34_34 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 562 to:
% 261.55/205.79 | (658) ~ (e3 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 658 yields:
% 261.55/205.79 | (56) ~ (e3 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 381 to:
% 261.55/205.79 | (347) ~ (e2 = e0)
% 261.55/205.79 |
% 261.55/205.79 | From (663) and (332) follows:
% 261.55/205.79 | (676) op(e2, all_0_35_35) = e0
% 261.55/205.79 |
% 261.55/205.79 | From (663) and (24) follows:
% 261.55/205.79 | (677) op(all_0_35_35, e2) = e4
% 261.55/205.79 |
% 261.55/205.79 | From (663) and (67) follows:
% 261.55/205.79 | (678) op(e4, e0) = e2
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (605), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (679) all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Applying alpha-rule on (679) yields:
% 261.55/205.79 | (680) all_0_11_11 = all_0_16_16
% 261.55/205.79 | (664) ~ (all_0_16_16 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Instantiating formula (97) with e4, e2, e4, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 261.55/205.79 | (682) all_0_17_17 = e4 | ~ (op(e4, e2) = e4)
% 261.55/205.79 |
% 261.55/205.79 | Instantiating formula (97) with e1, e2, e4, all_0_32_32 and discharging atoms op(e1, e2) = all_0_32_32, yields:
% 261.55/205.79 | (683) all_0_32_32 = e4 | ~ (op(e1, e2) = e4)
% 261.55/205.79 |
% 261.55/205.79 | Instantiating formula (97) with e2, e2, e0, e2 and discharging atoms op(e2, e2) = e2, yields:
% 261.55/205.79 | (684) e2 = e0 | ~ (op(e2, e2) = e0)
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (154), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (685) all_0_24_24 = e4
% 261.55/205.79 |
% 261.55/205.79 | Equations (685) can reduce 580 to:
% 261.55/205.79 | (366) $false
% 261.55/205.79 |
% 261.55/205.79 |-The branch is then unsatisfiable
% 261.55/205.79 |-Branch two:
% 261.55/205.79 | (580) ~ (all_0_24_24 = e4)
% 261.55/205.79 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (166), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (464) all_0_15_15 = e4
% 261.55/205.79 |
% 261.55/205.79 | Combining equations (464,468) yields a new equation:
% 261.55/205.79 | (690) e4 = e3
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 690 yields:
% 261.55/205.79 | (691) e4 = e3
% 261.55/205.79 |
% 261.55/205.79 | Equations (691) can reduce 277 to:
% 261.55/205.79 | (366) $false
% 261.55/205.79 |
% 261.55/205.79 |-The branch is then unsatisfiable
% 261.55/205.79 |-Branch two:
% 261.55/205.79 | (460) ~ (all_0_15_15 = e4)
% 261.55/205.79 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 261.55/205.79 |
% 261.55/205.79 | Equations (468) can reduce 460 to:
% 261.55/205.79 | (695) ~ (e4 = e3)
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 695 yields:
% 261.55/205.79 | (277) ~ (e4 = e3)
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (340), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (697) all_0_16_16 = e2
% 261.55/205.79 |
% 261.55/205.79 | Equations (697) can reduce 664 to:
% 261.55/205.79 | (366) $false
% 261.55/205.79 |
% 261.55/205.79 |-The branch is then unsatisfiable
% 261.55/205.79 |-Branch two:
% 261.55/205.79 | (664) ~ (all_0_16_16 = e2)
% 261.55/205.79 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (270), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (701) all_0_16_16 = e4
% 261.55/205.79 |
% 261.55/205.79 | Equations (701) can reduce 573 to:
% 261.55/205.79 | (366) $false
% 261.55/205.79 |
% 261.55/205.79 |-The branch is then unsatisfiable
% 261.55/205.79 |-Branch two:
% 261.55/205.79 | (573) ~ (all_0_16_16 = e4)
% 261.55/205.79 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (323), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (476) all_0_15_15 = e1
% 261.55/205.79 |
% 261.55/205.79 | Combining equations (476,468) yields a new equation:
% 261.55/205.79 | (706) e3 = e1
% 261.55/205.79 |
% 261.55/205.79 | Equations (706) can reduce 318 to:
% 261.55/205.79 | (366) $false
% 261.55/205.79 |
% 261.55/205.79 |-The branch is then unsatisfiable
% 261.55/205.79 |-Branch two:
% 261.55/205.79 | (482) ~ (all_0_15_15 = e1)
% 261.55/205.79 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 261.55/205.79 |
% 261.55/205.79 | Equations (468) can reduce 482 to:
% 261.55/205.79 | (318) ~ (e3 = e1)
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (242), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (711) all_0_19_19 = e4
% 261.55/205.79 |
% 261.55/205.79 | Combining equations (663,711) yields a new equation:
% 261.55/205.79 | (539) e4 = e2
% 261.55/205.79 |
% 261.55/205.79 | Equations (539) can reduce 19 to:
% 261.55/205.79 | (366) $false
% 261.55/205.79 |
% 261.55/205.79 |-The branch is then unsatisfiable
% 261.55/205.79 |-Branch two:
% 261.55/205.79 | (714) ~ (all_0_19_19 = e4)
% 261.55/205.79 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (32), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (716) all_0_19_19 = e1
% 261.55/205.79 |
% 261.55/205.79 | Combining equations (663,716) yields a new equation:
% 261.55/205.79 | (717) e2 = e1
% 261.55/205.79 |
% 261.55/205.79 | Simplifying 717 yields:
% 261.55/205.79 | (718) e2 = e1
% 261.55/205.79 |
% 261.55/205.79 | Equations (718) can reduce 329 to:
% 261.55/205.79 | (366) $false
% 261.55/205.79 |
% 261.55/205.79 |-The branch is then unsatisfiable
% 261.55/205.79 |-Branch two:
% 261.55/205.79 | (720) ~ (all_0_19_19 = e1)
% 261.55/205.79 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 261.55/205.79 |
% 261.55/205.79 | Equations (663) can reduce 720 to:
% 261.55/205.79 | (329) ~ (e2 = e1)
% 261.55/205.79 |
% 261.55/205.79 +-Applying beta-rule and splitting (83), into two cases.
% 261.55/205.79 |-Branch one:
% 261.55/205.79 | (723) all_0_34_34 = e4
% 261.55/205.79 |
% 261.55/205.79 | Equations (723) can reduce 41 to:
% 261.55/205.79 | (724) ~ (all_0_29_29 = e4)
% 261.55/205.79 |
% 261.55/205.79 | Equations (723) can reduce 15 to:
% 261.55/205.79 | (509) ~ (all_0_30_30 = e4)
% 261.55/205.79 |
% 261.55/205.79 | Equations (723) can reduce 188 to:
% 261.55/205.79 | (584) ~ (all_0_31_31 = e4)
% 261.55/205.79 |
% 261.55/205.79 | Equations (723) can reduce 199 to:
% 261.55/205.79 | (727) ~ (all_0_32_32 = e4)
% 261.55/205.79 |
% 261.55/205.79 | Equations (723) can reduce 672 to:
% 261.55/205.79 | (19) ~ (e4 = e2)
% 261.55/205.79 |
% 261.55/205.79 | Equations (723) can reduce 384 to:
% 261.55/205.79 | (287) ~ (e4 = e0)
% 261.55/205.79 |
% 261.55/205.79 | From (723) and (181) follows:
% 261.55/205.79 | (730) op(e4, all_0_38_38) = e0
% 261.55/205.79 |
% 261.55/205.79 | From (723) and (312) follows:
% 261.55/205.79 | (731) op(all_0_38_38, e4) = e1
% 261.55/205.79 |
% 261.55/205.79 | Instantiating formula (97) with e3, e4, e1, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 261.55/205.79 | (732) all_0_20_20 = e1 | ~ (op(e3, e4) = e1)
% 261.55/205.79 |
% 261.55/205.79 | Instantiating formula (97) with e2, e4, e1, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 261.55/205.79 | (733) all_0_25_25 = e1 | ~ (op(e2, e4) = e1)
% 261.55/205.80 |
% 261.55/205.80 | Instantiating formula (97) with e4, e3, e0, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 261.55/205.80 | (734) all_0_16_16 = e0 | ~ (op(e4, e3) = e0)
% 261.55/205.80 |
% 261.55/205.80 | Instantiating formula (97) with e4, e2, e0, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 261.55/205.80 | (735) all_0_17_17 = e0 | ~ (op(e4, e2) = e0)
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (51), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (736) all_0_20_20 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (736) can reduce 211 to:
% 261.55/205.80 | (737) ~ (all_0_22_22 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 737 yields:
% 261.55/205.80 | (493) ~ (all_0_22_22 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Equations (736) can reduce 116 to:
% 261.55/205.80 | (739) ~ (all_0_30_30 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 739 yields:
% 261.55/205.80 | (740) ~ (all_0_30_30 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Equations (736) can reduce 249 to:
% 261.55/205.80 | (741) ~ (all_0_35_35 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 741 yields:
% 261.55/205.80 | (742) ~ (all_0_35_35 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Equations (736) can reduce 496 to:
% 261.55/205.80 | (444) ~ (e4 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 444 yields:
% 261.55/205.80 | (19) ~ (e4 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Equations (736) can reduce 564 to:
% 261.55/205.80 | (658) ~ (e3 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 658 yields:
% 261.55/205.80 | (56) ~ (e3 = e2)
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (215), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (747) all_0_30_30 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (747) can reduce 740 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (740) ~ (all_0_30_30 = e2)
% 261.55/205.80 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (750), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (751) all_0_31_31 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (751) can reduce 217 to:
% 261.55/205.80 | (740) ~ (all_0_30_30 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Equations (751) can reduce 247 to:
% 261.55/205.80 | (652) ~ (all_0_32_32 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 652 yields:
% 261.55/205.80 | (508) ~ (all_0_32_32 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Equations (751) can reduce 7 to:
% 261.55/205.80 | (755) ~ (all_0_36_36 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 755 yields:
% 261.55/205.80 | (756) ~ (all_0_36_36 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Equations (751) can reduce 584 to:
% 261.55/205.80 | (444) ~ (e4 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 444 yields:
% 261.55/205.80 | (19) ~ (e4 = e2)
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (155), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (759) all_0_30_30 = e3
% 261.55/205.80 |
% 261.55/205.80 | Equations (759) can reduce 568 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (568) ~ (all_0_30_30 = e3)
% 261.55/205.80 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (762), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (763) all_0_31_31 = e3
% 261.55/205.80 |
% 261.55/205.80 | Combining equations (751,763) yields a new equation:
% 261.55/205.80 | (764) e3 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (764) can reduce 56 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (510) ~ (all_0_31_31 = e3)
% 261.55/205.80 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (239), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (768) all_0_30_30 = e4
% 261.55/205.80 |
% 261.55/205.80 | Equations (768) can reduce 509 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (509) ~ (all_0_30_30 = e4)
% 261.55/205.80 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (767), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (772) all_0_32_32 = e3
% 261.55/205.80 |
% 261.55/205.80 | Equations (772) can reduce 286 to:
% 261.55/205.80 | (558) ~ (all_0_17_17 = e3)
% 261.55/205.80 |
% 261.55/205.80 | Equations (772) can reduce 63 to:
% 261.55/205.80 | (774) ~ (all_0_22_22 = e3)
% 261.55/205.80 |
% 261.55/205.80 | Equations (772) can reduce 186 to:
% 261.55/205.80 | (568) ~ (all_0_30_30 = e3)
% 261.55/205.80 |
% 261.55/205.80 | Equations (772) can reduce 336 to:
% 261.55/205.80 | (776) ~ (all_0_37_37 = e3)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 776 yields:
% 261.55/205.80 | (777) ~ (all_0_37_37 = e3)
% 261.55/205.80 |
% 261.55/205.80 | Equations (772) can reduce 508 to:
% 261.55/205.80 | (56) ~ (e3 = e2)
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (771), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (759) all_0_30_30 = e3
% 261.55/205.80 |
% 261.55/205.80 | Equations (759) can reduce 568 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (568) ~ (all_0_30_30 = e3)
% 261.55/205.80 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (782), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (747) all_0_30_30 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (747) can reduce 740 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (740) ~ (all_0_30_30 = e2)
% 261.55/205.80 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (786), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (787) all_0_30_30 = e1
% 261.55/205.80 |
% 261.55/205.80 | Equations (787) can reduce 422 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (422) ~ (all_0_30_30 = e1)
% 261.55/205.80 | (790) all_0_30_30 = e0
% 261.55/205.80 |
% 261.55/205.80 | Equations (790) can reduce 509 to:
% 261.55/205.80 | (389) ~ (e4 = e0)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 389 yields:
% 261.55/205.80 | (287) ~ (e4 = e0)
% 261.55/205.80 |
% 261.55/205.80 | Equations (790) can reduce 568 to:
% 261.55/205.80 | (391) ~ (e3 = e0)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 391 yields:
% 261.55/205.80 | (88) ~ (e3 = e0)
% 261.55/205.80 |
% 261.55/205.80 | Equations (790) can reduce 740 to:
% 261.55/205.80 | (393) ~ (e2 = e0)
% 261.55/205.80 |
% 261.55/205.80 | Simplifying 393 yields:
% 261.55/205.80 | (347) ~ (e2 = e0)
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (214), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (797) all_0_35_35 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (797) can reduce 742 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (742) ~ (all_0_35_35 = e2)
% 261.55/205.80 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (800), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (801) all_0_36_36 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (801) can reduce 756 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (756) ~ (all_0_36_36 = e2)
% 261.55/205.80 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (804), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (805) all_0_37_37 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (805) can reduce 515 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (515) ~ (all_0_37_37 = e2)
% 261.55/205.80 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (808), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (809) all_0_38_38 = e2
% 261.55/205.80 |
% 261.55/205.80 | Equations (809) can reduce 39 to:
% 261.55/205.80 | (810) ~ (all_0_23_23 = e2)
% 261.55/205.80 |
% 261.55/205.80 | Equations (809) can reduce 198 to:
% 261.55/205.80 | (649) ~ (all_0_28_28 = e2)
% 261.55/205.80 |
% 261.55/205.80 | From (809) and (731) follows:
% 261.55/205.80 | (812) op(e2, e4) = e1
% 261.55/205.80 |
% 261.55/205.80 | From (809) and (730) follows:
% 261.55/205.80 | (813) op(e4, e2) = e0
% 261.55/205.80 |
% 261.55/205.80 +-Applying beta-rule and splitting (164), into two cases.
% 261.55/205.80 |-Branch one:
% 261.55/205.80 | (814) all_0_35_35 = e3
% 261.55/205.80 |
% 261.55/205.80 | Equations (814) can reduce 570 to:
% 261.55/205.80 | (366) $false
% 261.55/205.80 |
% 261.55/205.80 |-The branch is then unsatisfiable
% 261.55/205.80 |-Branch two:
% 261.55/205.80 | (570) ~ (all_0_35_35 = e3)
% 261.55/205.80 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 261.87/205.80 |
% 261.87/205.80 +-Applying beta-rule and splitting (817), into two cases.
% 261.87/205.80 |-Branch one:
% 261.87/205.80 | (818) all_0_36_36 = e3
% 261.87/205.80 |
% 261.87/205.80 | Equations (818) can reduce 64 to:
% 261.87/205.80 | (458) ~ (all_0_16_16 = e3)
% 261.87/205.80 |
% 261.87/205.80 +-Applying beta-rule and splitting (735), into two cases.
% 261.87/205.80 |-Branch one:
% 261.87/205.81 | (820) ~ (op(e4, e2) = e0)
% 261.87/205.81 |
% 261.87/205.81 | Using (813) and (820) yields:
% 261.87/205.81 | (821) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (813) op(e4, e2) = e0
% 261.87/205.81 | (823) all_0_17_17 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (823) can reduce 169 to:
% 261.87/205.81 | (824) ~ (all_0_16_16 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Equations (823) can reduce 184 to:
% 261.87/205.81 | (825) ~ (all_0_22_22 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 825 yields:
% 261.87/205.81 | (826) ~ (all_0_22_22 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Equations (823) can reduce 558 to:
% 261.87/205.81 | (391) ~ (e3 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 391 yields:
% 261.87/205.81 | (88) ~ (e3 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Equations (823) can reduce 459 to:
% 261.87/205.81 | (393) ~ (e2 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 393 yields:
% 261.87/205.81 | (347) ~ (e2 = e0)
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (153), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (831) all_0_22_22 = e4
% 261.87/205.81 |
% 261.87/205.81 | Equations (831) can reduce 576 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (576) ~ (all_0_22_22 = e4)
% 261.87/205.81 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (135), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (835) all_0_20_20 = e0
% 261.87/205.81 |
% 261.87/205.81 | Combining equations (736,835) yields a new equation:
% 261.87/205.81 | (836) e2 = e0
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 836 yields:
% 261.87/205.81 | (551) e2 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (551) can reduce 347 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (839) ~ (all_0_20_20 = e0)
% 261.87/205.81 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (840), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (529) all_0_21_21 = e0
% 261.87/205.81 |
% 261.87/205.81 | Combining equations (449,529) yields a new equation:
% 261.87/205.81 | (842) e4 = e0
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 842 yields:
% 261.87/205.81 | (490) e4 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (490) can reduce 287 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (398) ~ (all_0_21_21 = e0)
% 261.87/205.81 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (846), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (847) all_0_22_22 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (847) can reduce 826 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (826) ~ (all_0_22_22 = e0)
% 261.87/205.81 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (850), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (851) all_0_23_23 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (851) can reduce 346 to:
% 261.87/205.81 | (826) ~ (all_0_22_22 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Equations (851) can reduce 578 to:
% 261.87/205.81 | (389) ~ (e4 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 389 yields:
% 261.87/205.81 | (287) ~ (e4 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Equations (851) can reduce 810 to:
% 261.87/205.81 | (393) ~ (e2 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 393 yields:
% 261.87/205.81 | (347) ~ (e2 = e0)
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (834), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (857) all_0_22_22 = e3
% 261.87/205.81 |
% 261.87/205.81 | Equations (857) can reduce 774 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (774) ~ (all_0_22_22 = e3)
% 261.87/205.81 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (694), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (701) all_0_16_16 = e4
% 261.87/205.81 |
% 261.87/205.81 | Equations (701) can reduce 573 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (573) ~ (all_0_16_16 = e4)
% 261.87/205.81 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (864), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (865) all_0_17_17 = e4
% 261.87/205.81 |
% 261.87/205.81 | Combining equations (865,823) yields a new equation:
% 261.87/205.81 | (842) e4 = e0
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 842 yields:
% 261.87/205.81 | (490) e4 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (490) can reduce 287 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (869) ~ (all_0_17_17 = e4)
% 261.87/205.81 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 261.87/205.81 |
% 261.87/205.81 | Equations (823) can reduce 869 to:
% 261.87/205.81 | (389) ~ (e4 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 389 yields:
% 261.87/205.81 | (287) ~ (e4 = e0)
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (279), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (873) all_0_16_16 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (873) can reduce 824 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (824) ~ (all_0_16_16 = e0)
% 261.87/205.81 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (876), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (529) all_0_21_21 = e0
% 261.87/205.81 |
% 261.87/205.81 | Combining equations (449,529) yields a new equation:
% 261.87/205.81 | (842) e4 = e0
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 842 yields:
% 261.87/205.81 | (490) e4 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (490) can reduce 287 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (398) ~ (all_0_21_21 = e0)
% 261.87/205.81 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (882), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (883) all_0_26_26 = e0
% 261.87/205.81 |
% 261.87/205.81 | Equations (883) can reduce 139 to:
% 261.87/205.81 | (824) ~ (all_0_16_16 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Equations (883) can reduce 46 to:
% 261.87/205.81 | (885) ~ (all_0_28_28 = e0)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 885 yields:
% 261.87/205.81 | (886) ~ (all_0_28_28 = e0)
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (26), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (887) all_0_18_18 = e4
% 261.87/205.81 |
% 261.87/205.81 | Equations (887) can reduce 9 to:
% 261.87/205.81 | (573) ~ (all_0_16_16 = e4)
% 261.87/205.81 |
% 261.87/205.81 | Equations (887) can reduce 300 to:
% 261.87/205.81 | (889) ~ (all_0_28_28 = e4)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 889 yields:
% 261.87/205.81 | (890) ~ (all_0_28_28 = e4)
% 261.87/205.81 |
% 261.87/205.81 | Equations (887) can reduce 419 to:
% 261.87/205.81 | (65) ~ (e4 = e1)
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (338), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (892) all_0_28_28 = e4
% 261.87/205.81 |
% 261.87/205.81 | Equations (892) can reduce 890 to:
% 261.87/205.81 | (366) $false
% 261.87/205.81 |
% 261.87/205.81 |-The branch is then unsatisfiable
% 261.87/205.81 |-Branch two:
% 261.87/205.81 | (890) ~ (all_0_28_28 = e4)
% 261.87/205.81 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (895), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (896) all_0_28_28 = e3
% 261.87/205.81 |
% 261.87/205.81 | Equations (896) can reduce 73 to:
% 261.87/205.81 | (897) ~ (all_0_29_29 = e3)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 897 yields:
% 261.87/205.81 | (898) ~ (all_0_29_29 = e3)
% 261.87/205.81 |
% 261.87/205.81 | Equations (896) can reduce 890 to:
% 261.87/205.81 | (695) ~ (e4 = e3)
% 261.87/205.81 |
% 261.87/205.81 | Simplifying 695 yields:
% 261.87/205.81 | (277) ~ (e4 = e3)
% 261.87/205.81 |
% 261.87/205.81 | Equations (896) can reduce 649 to:
% 261.87/205.81 | (56) ~ (e3 = e2)
% 261.87/205.81 |
% 261.87/205.81 | Equations (896) can reduce 886 to:
% 261.87/205.81 | (88) ~ (e3 = e0)
% 261.87/205.81 |
% 261.87/205.81 +-Applying beta-rule and splitting (125), into two cases.
% 261.87/205.81 |-Branch one:
% 261.87/205.81 | (903) all_0_20_20 = e3
% 261.87/205.81 |
% 261.87/205.82 | Combining equations (736,903) yields a new equation:
% 261.87/205.82 | (764) e3 = e2
% 261.87/205.82 |
% 261.87/205.82 | Equations (764) can reduce 56 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (564) ~ (all_0_20_20 = e3)
% 261.87/205.82 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 261.87/205.82 |
% 261.87/205.82 | Equations (736) can reduce 564 to:
% 261.87/205.82 | (658) ~ (e3 = e2)
% 261.87/205.82 |
% 261.87/205.82 | Simplifying 658 yields:
% 261.87/205.82 | (56) ~ (e3 = e2)
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (8), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (464) all_0_15_15 = e4
% 261.87/205.82 |
% 261.87/205.82 | Combining equations (468,464) yields a new equation:
% 261.87/205.82 | (691) e4 = e3
% 261.87/205.82 |
% 261.87/205.82 | Equations (691) can reduce 277 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (460) ~ (all_0_15_15 = e4)
% 261.87/205.82 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 261.87/205.82 |
% 261.87/205.82 | Equations (468) can reduce 460 to:
% 261.87/205.82 | (695) ~ (e4 = e3)
% 261.87/205.82 |
% 261.87/205.82 | Simplifying 695 yields:
% 261.87/205.82 | (277) ~ (e4 = e3)
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (860), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (917) all_0_22_22 = e2
% 261.87/205.82 |
% 261.87/205.82 | Equations (917) can reduce 493 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (493) ~ (all_0_22_22 = e2)
% 261.87/205.82 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (228), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (921) all_0_16_16 = e1
% 261.87/205.82 |
% 261.87/205.82 | Equations (921) can reduce 573 to:
% 261.87/205.82 | (477) ~ (e4 = e1)
% 261.87/205.82 |
% 261.87/205.82 | Simplifying 477 yields:
% 261.87/205.82 | (65) ~ (e4 = e1)
% 261.87/205.82 |
% 261.87/205.82 | Equations (921) can reduce 458 to:
% 261.87/205.82 | (429) ~ (e3 = e1)
% 261.87/205.82 |
% 261.87/205.82 | Simplifying 429 yields:
% 261.87/205.82 | (318) ~ (e3 = e1)
% 261.87/205.82 |
% 261.87/205.82 | Equations (921) can reduce 824 to:
% 261.87/205.82 | (37) ~ (e1 = e0)
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (230), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (927) all_0_19_19 = e3
% 261.87/205.82 |
% 261.87/205.82 | Combining equations (663,927) yields a new equation:
% 261.87/205.82 | (764) e3 = e2
% 261.87/205.82 |
% 261.87/205.82 | Equations (764) can reduce 56 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (562) ~ (all_0_19_19 = e3)
% 261.87/205.82 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (29), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (476) all_0_15_15 = e1
% 261.87/205.82 |
% 261.87/205.82 | Combining equations (468,476) yields a new equation:
% 261.87/205.82 | (933) e3 = e1
% 261.87/205.82 |
% 261.87/205.82 | Simplifying 933 yields:
% 261.87/205.82 | (706) e3 = e1
% 261.87/205.82 |
% 261.87/205.82 | Equations (706) can reduce 318 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (482) ~ (all_0_15_15 = e1)
% 261.87/205.82 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 261.87/205.82 |
% 261.87/205.82 | Equations (468) can reduce 482 to:
% 261.87/205.82 | (318) ~ (e3 = e1)
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (931), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (939) all_0_24_24 = e3
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (721), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (940) all_0_24_24 = e1
% 261.87/205.82 |
% 261.87/205.82 | Combining equations (940,939) yields a new equation:
% 261.87/205.82 | (706) e3 = e1
% 261.87/205.82 |
% 261.87/205.82 | Equations (706) can reduce 318 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (943) ~ (all_0_24_24 = e1)
% 261.87/205.82 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (944), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (945) all_0_29_29 = e1
% 261.87/205.82 |
% 261.87/205.82 | Equations (945) can reduce 62 to:
% 261.87/205.82 | (946) ~ (all_0_25_25 = e1)
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (733), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (947) ~ (op(e2, e4) = e1)
% 261.87/205.82 |
% 261.87/205.82 | Using (812) and (947) yields:
% 261.87/205.82 | (821) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (812) op(e2, e4) = e1
% 261.87/205.82 | (950) all_0_25_25 = e1
% 261.87/205.82 |
% 261.87/205.82 | Equations (950) can reduce 946 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (952) ~ (all_0_29_29 = e1)
% 261.87/205.82 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (953), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (954) all_0_34_34 = e1
% 261.87/205.82 |
% 261.87/205.82 | Combining equations (723,954) yields a new equation:
% 261.87/205.82 | (955) e4 = e1
% 261.87/205.82 |
% 261.87/205.82 | Simplifying 955 yields:
% 261.87/205.82 | (480) e4 = e1
% 261.87/205.82 |
% 261.87/205.82 | Equations (480) can reduce 65 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (426) ~ (all_0_34_34 = e1)
% 261.87/205.82 | (377) all_0_39_39 = e1
% 261.87/205.82 |
% 261.87/205.82 | Combining equations (377,380) yields a new equation:
% 261.87/205.82 | (960) e1 = e0
% 261.87/205.82 |
% 261.87/205.82 | Simplifying 960 yields:
% 261.87/205.82 | (961) e1 = e0
% 261.87/205.82 |
% 261.87/205.82 | Equations (961) can reduce 37 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (963) ~ (all_0_24_24 = e3)
% 261.87/205.82 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (688), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (939) all_0_24_24 = e3
% 261.87/205.82 |
% 261.87/205.82 | Equations (939) can reduce 963 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (963) ~ (all_0_24_24 = e3)
% 261.87/205.82 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (907), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (453) all_0_21_21 = e3
% 261.87/205.82 |
% 261.87/205.82 | Combining equations (453,449) yields a new equation:
% 261.87/205.82 | (691) e4 = e3
% 261.87/205.82 |
% 261.87/205.82 | Equations (691) can reduce 277 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (494) ~ (all_0_21_21 = e3)
% 261.87/205.82 | (973) all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (973), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (857) all_0_22_22 = e3
% 261.87/205.82 |
% 261.87/205.82 | Equations (857) can reduce 774 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (774) ~ (all_0_22_22 = e3)
% 261.87/205.82 | (977) all_0_23_23 = e3 | all_0_24_24 = e3
% 261.87/205.82 |
% 261.87/205.82 +-Applying beta-rule and splitting (977), into two cases.
% 261.87/205.82 |-Branch one:
% 261.87/205.82 | (978) all_0_23_23 = e3
% 261.87/205.82 |
% 261.87/205.82 | Combining equations (978,851) yields a new equation:
% 261.87/205.82 | (979) e3 = e0
% 261.87/205.82 |
% 261.87/205.82 | Simplifying 979 yields:
% 261.87/205.82 | (980) e3 = e0
% 261.87/205.82 |
% 261.87/205.82 | Equations (980) can reduce 88 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.82 |-Branch two:
% 261.87/205.82 | (982) ~ (all_0_23_23 = e3)
% 261.87/205.82 | (939) all_0_24_24 = e3
% 261.87/205.82 |
% 261.87/205.82 | Equations (939) can reduce 963 to:
% 261.87/205.82 | (366) $false
% 261.87/205.82 |
% 261.87/205.82 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (985) ~ (all_0_16_16 = e1)
% 261.87/205.83 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (230), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (927) all_0_19_19 = e3
% 261.87/205.83 |
% 261.87/205.83 | Combining equations (663,927) yields a new equation:
% 261.87/205.83 | (764) e3 = e2
% 261.87/205.83 |
% 261.87/205.83 | Equations (764) can reduce 56 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (562) ~ (all_0_19_19 = e3)
% 261.87/205.83 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (931), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (939) all_0_24_24 = e3
% 261.87/205.83 |
% 261.87/205.83 | Equations (939) can reduce 268 to:
% 261.87/205.83 | (774) ~ (all_0_22_22 = e3)
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (986), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (526) all_0_21_21 = e1
% 261.87/205.83 |
% 261.87/205.83 | Combining equations (526,449) yields a new equation:
% 261.87/205.83 | (480) e4 = e1
% 261.87/205.83 |
% 261.87/205.83 | Equations (480) can reduce 65 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (363) ~ (all_0_21_21 = e1)
% 261.87/205.83 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (920), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (999) all_0_22_22 = e1
% 261.87/205.83 |
% 261.87/205.83 | Equations (999) can reduce 774 to:
% 261.87/205.83 | (429) ~ (e3 = e1)
% 261.87/205.83 |
% 261.87/205.83 | Simplifying 429 yields:
% 261.87/205.83 | (318) ~ (e3 = e1)
% 261.87/205.83 |
% 261.87/205.83 | Equations (999) can reduce 493 to:
% 261.87/205.83 | (1002) ~ (e2 = e1)
% 261.87/205.83 |
% 261.87/205.83 | Simplifying 1002 yields:
% 261.87/205.83 | (329) ~ (e2 = e1)
% 261.87/205.83 |
% 261.87/205.83 | Equations (999) can reduce 826 to:
% 261.87/205.83 | (37) ~ (e1 = e0)
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (998), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (1005) all_0_26_26 = e1
% 261.87/205.83 |
% 261.87/205.83 | Combining equations (883,1005) yields a new equation:
% 261.87/205.83 | (961) e1 = e0
% 261.87/205.83 |
% 261.87/205.83 | Equations (961) can reduce 37 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (1008) ~ (all_0_26_26 = e1)
% 261.87/205.83 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (1009), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (1010) all_0_31_31 = e1
% 261.87/205.83 |
% 261.87/205.83 | Combining equations (751,1010) yields a new equation:
% 261.87/205.83 | (717) e2 = e1
% 261.87/205.83 |
% 261.87/205.83 | Simplifying 717 yields:
% 261.87/205.83 | (718) e2 = e1
% 261.87/205.83 |
% 261.87/205.83 | Equations (718) can reduce 329 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (423) ~ (all_0_31_31 = e1)
% 261.87/205.83 | (1015) all_0_36_36 = e1
% 261.87/205.83 |
% 261.87/205.83 | Combining equations (1015,818) yields a new equation:
% 261.87/205.83 | (706) e3 = e1
% 261.87/205.83 |
% 261.87/205.83 | Equations (706) can reduce 318 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (1018) ~ (all_0_22_22 = e1)
% 261.87/205.83 | (847) all_0_22_22 = e0
% 261.87/205.83 |
% 261.87/205.83 | Equations (847) can reduce 826 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (963) ~ (all_0_24_24 = e3)
% 261.87/205.83 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (964), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (1023) all_0_29_29 = e3
% 261.87/205.83 |
% 261.87/205.83 | Equations (1023) can reduce 898 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (898) ~ (all_0_29_29 = e3)
% 261.87/205.83 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (1026), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (1027) all_0_34_34 = e3
% 261.87/205.83 |
% 261.87/205.83 | Combining equations (723,1027) yields a new equation:
% 261.87/205.83 | (690) e4 = e3
% 261.87/205.83 |
% 261.87/205.83 | Simplifying 690 yields:
% 261.87/205.83 | (691) e4 = e3
% 261.87/205.83 |
% 261.87/205.83 | Equations (691) can reduce 277 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (1031) ~ (all_0_34_34 = e3)
% 261.87/205.83 | (369) all_0_39_39 = e3
% 261.87/205.83 |
% 261.87/205.83 | Combining equations (380,369) yields a new equation:
% 261.87/205.83 | (980) e3 = e0
% 261.87/205.83 |
% 261.87/205.83 | Equations (980) can reduce 88 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (1035) ~ (all_0_28_28 = e3)
% 261.87/205.83 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (1036), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (1037) all_0_28_28 = e2
% 261.87/205.83 |
% 261.87/205.83 | Equations (1037) can reduce 649 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (649) ~ (all_0_28_28 = e2)
% 261.87/205.83 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (1040), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (1041) all_0_28_28 = e1
% 261.87/205.83 |
% 261.87/205.83 | Equations (1041) can reduce 421 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (421) ~ (all_0_28_28 = e1)
% 261.87/205.83 | (1044) all_0_28_28 = e0
% 261.87/205.83 |
% 261.87/205.83 | Equations (1044) can reduce 886 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (1046) ~ (all_0_18_18 = e4)
% 261.87/205.83 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (36), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (887) all_0_18_18 = e4
% 261.87/205.83 |
% 261.87/205.83 | Equations (887) can reduce 1046 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (1046) ~ (all_0_18_18 = e4)
% 261.87/205.83 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 261.87/205.83 |
% 261.87/205.83 +-Applying beta-rule and splitting (870), into two cases.
% 261.87/205.83 |-Branch one:
% 261.87/205.83 | (887) all_0_18_18 = e4
% 261.87/205.83 |
% 261.87/205.83 | Equations (887) can reduce 1046 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.83 |-Branch two:
% 261.87/205.83 | (1046) ~ (all_0_18_18 = e4)
% 261.87/205.83 | (711) all_0_19_19 = e4
% 261.87/205.83 |
% 261.87/205.83 | Combining equations (663,711) yields a new equation:
% 261.87/205.83 | (539) e4 = e2
% 261.87/205.83 |
% 261.87/205.83 | Equations (539) can reduce 19 to:
% 261.87/205.83 | (366) $false
% 261.87/205.83 |
% 261.87/205.83 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (1058) ~ (all_0_26_26 = e0)
% 261.87/205.84 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 261.87/205.84 |
% 261.87/205.84 +-Applying beta-rule and splitting (1059), into two cases.
% 261.87/205.84 |-Branch one:
% 261.87/205.84 | (1060) all_0_31_31 = e0
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (751,1060) yields a new equation:
% 261.87/205.84 | (836) e2 = e0
% 261.87/205.84 |
% 261.87/205.84 | Simplifying 836 yields:
% 261.87/205.84 | (551) e2 = e0
% 261.87/205.84 |
% 261.87/205.84 | Equations (551) can reduce 347 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (1064) ~ (all_0_31_31 = e0)
% 261.87/205.84 | (1065) all_0_36_36 = e0
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (1065,818) yields a new equation:
% 261.87/205.84 | (980) e3 = e0
% 261.87/205.84 |
% 261.87/205.84 | Equations (980) can reduce 88 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (1068) ~ (all_0_23_23 = e0)
% 261.87/205.84 | (1069) all_0_24_24 = e0
% 261.87/205.84 |
% 261.87/205.84 | Equations (1069) can reduce 382 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (516) ~ (all_0_36_36 = e3)
% 261.87/205.84 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 261.87/205.84 |
% 261.87/205.84 +-Applying beta-rule and splitting (1072), into two cases.
% 261.87/205.84 |-Branch one:
% 261.87/205.84 | (1073) all_0_37_37 = e3
% 261.87/205.84 |
% 261.87/205.84 | Equations (1073) can reduce 777 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (777) ~ (all_0_37_37 = e3)
% 261.87/205.84 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 261.87/205.84 |
% 261.87/205.84 +-Applying beta-rule and splitting (1076), into two cases.
% 261.87/205.84 |-Branch one:
% 261.87/205.84 | (1077) all_0_38_38 = e3
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (809,1077) yields a new equation:
% 261.87/205.84 | (764) e3 = e2
% 261.87/205.84 |
% 261.87/205.84 | Equations (764) can reduce 56 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (1080) ~ (all_0_38_38 = e3)
% 261.87/205.84 | (369) all_0_39_39 = e3
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (380,369) yields a new equation:
% 261.87/205.84 | (980) e3 = e0
% 261.87/205.84 |
% 261.87/205.84 | Equations (980) can reduce 88 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (1084) ~ (all_0_38_38 = e2)
% 261.87/205.84 | (373) all_0_39_39 = e2
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (373,380) yields a new equation:
% 261.87/205.84 | (836) e2 = e0
% 261.87/205.84 |
% 261.87/205.84 | Simplifying 836 yields:
% 261.87/205.84 | (551) e2 = e0
% 261.87/205.84 |
% 261.87/205.84 | Equations (551) can reduce 347 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (1089) ~ (all_0_32_32 = e3)
% 261.87/205.84 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 261.87/205.84 |
% 261.87/205.84 +-Applying beta-rule and splitting (1090), into two cases.
% 261.87/205.84 |-Branch one:
% 261.87/205.84 | (410) all_0_33_33 = e3
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (410,418) yields a new equation:
% 261.87/205.84 | (933) e3 = e1
% 261.87/205.84 |
% 261.87/205.84 | Simplifying 933 yields:
% 261.87/205.84 | (706) e3 = e1
% 261.87/205.84 |
% 261.87/205.84 | Equations (706) can reduce 318 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (403) ~ (all_0_33_33 = e3)
% 261.87/205.84 | (1027) all_0_34_34 = e3
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (1027,723) yields a new equation:
% 261.87/205.84 | (691) e4 = e3
% 261.87/205.84 |
% 261.87/205.84 | Equations (691) can reduce 277 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (1099) ~ (all_0_31_31 = e2)
% 261.87/205.84 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 261.87/205.84 |
% 261.87/205.84 +-Applying beta-rule and splitting (1100), into two cases.
% 261.87/205.84 |-Branch one:
% 261.87/205.84 | (1101) all_0_32_32 = e2
% 261.87/205.84 |
% 261.87/205.84 | Equations (1101) can reduce 508 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (508) ~ (all_0_32_32 = e2)
% 261.87/205.84 | (1104) all_0_33_33 = e2 | all_0_34_34 = e2
% 261.87/205.84 |
% 261.87/205.84 +-Applying beta-rule and splitting (1104), into two cases.
% 261.87/205.84 |-Branch one:
% 261.87/205.84 | (414) all_0_33_33 = e2
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (414,418) yields a new equation:
% 261.87/205.84 | (717) e2 = e1
% 261.87/205.84 |
% 261.87/205.84 | Simplifying 717 yields:
% 261.87/205.84 | (718) e2 = e1
% 261.87/205.84 |
% 261.87/205.84 | Equations (718) can reduce 329 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (401) ~ (all_0_33_33 = e2)
% 261.87/205.84 | (1110) all_0_34_34 = e2
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (723,1110) yields a new equation:
% 261.87/205.84 | (1111) e4 = e2
% 261.87/205.84 |
% 261.87/205.84 | Simplifying 1111 yields:
% 261.87/205.84 | (539) e4 = e2
% 261.87/205.84 |
% 261.87/205.84 | Equations (539) can reduce 19 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (1114) ~ (all_0_20_20 = e2)
% 261.87/205.84 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 261.87/205.84 |
% 261.87/205.84 +-Applying beta-rule and splitting (1115), into two cases.
% 261.87/205.84 |-Branch one:
% 261.87/205.84 | (522) all_0_21_21 = e2
% 261.87/205.84 |
% 261.87/205.84 | Combining equations (449,522) yields a new equation:
% 261.87/205.84 | (1111) e4 = e2
% 261.87/205.84 |
% 261.87/205.84 | Simplifying 1111 yields:
% 261.87/205.84 | (539) e4 = e2
% 261.87/205.84 |
% 261.87/205.84 | Equations (539) can reduce 19 to:
% 261.87/205.84 | (366) $false
% 261.87/205.84 |
% 261.87/205.84 |-The branch is then unsatisfiable
% 261.87/205.84 |-Branch two:
% 261.87/205.84 | (361) ~ (all_0_21_21 = e2)
% 261.87/205.84 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 261.87/205.84 |
% 261.87/205.84 +-Applying beta-rule and splitting (1121), into two cases.
% 261.87/205.84 |-Branch one:
% 261.87/205.85 | (917) all_0_22_22 = e2
% 261.87/205.85 |
% 261.87/205.85 | Equations (917) can reduce 493 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (493) ~ (all_0_22_22 = e2)
% 261.87/205.85 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (1125), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1126) all_0_23_23 = e2
% 261.87/205.85 |
% 261.87/205.85 | Equations (1126) can reduce 110 to:
% 261.87/205.85 | (666) ~ (all_0_18_18 = e2)
% 261.87/205.85 |
% 261.87/205.85 | Equations (1126) can reduce 86 to:
% 261.87/205.85 | (648) ~ (all_0_28_28 = e2)
% 261.87/205.85 |
% 261.87/205.85 | Simplifying 648 yields:
% 261.87/205.85 | (649) ~ (all_0_28_28 = e2)
% 261.87/205.85 |
% 261.87/205.85 | Equations (1126) can reduce 39 to:
% 261.87/205.85 | (1130) ~ (all_0_38_38 = e2)
% 261.87/205.85 |
% 261.87/205.85 | Simplifying 1130 yields:
% 261.87/205.85 | (1084) ~ (all_0_38_38 = e2)
% 261.87/205.85 |
% 261.87/205.85 | Equations (1126) can reduce 578 to:
% 261.87/205.85 | (444) ~ (e4 = e2)
% 261.87/205.85 |
% 261.87/205.85 | Simplifying 444 yields:
% 261.87/205.85 | (19) ~ (e4 = e2)
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (269), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1134) all_0_18_18 = e3
% 261.87/205.85 |
% 261.87/205.85 | Equations (1134) can reduce 560 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (560) ~ (all_0_18_18 = e3)
% 261.87/205.85 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (26), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (887) all_0_18_18 = e4
% 261.87/205.85 |
% 261.87/205.85 | Equations (887) can reduce 74 to:
% 261.87/205.85 | (869) ~ (all_0_17_17 = e4)
% 261.87/205.85 |
% 261.87/205.85 | Equations (887) can reduce 300 to:
% 261.87/205.85 | (889) ~ (all_0_28_28 = e4)
% 261.87/205.85 |
% 261.87/205.85 | Simplifying 889 yields:
% 261.87/205.85 | (890) ~ (all_0_28_28 = e4)
% 261.87/205.85 |
% 261.87/205.85 | Equations (887) can reduce 142 to:
% 261.87/205.85 | (1142) ~ (all_0_38_38 = e4)
% 261.87/205.85 |
% 261.87/205.85 | Simplifying 1142 yields:
% 261.87/205.85 | (1143) ~ (all_0_38_38 = e4)
% 261.87/205.85 |
% 261.87/205.85 | Equations (887) can reduce 666 to:
% 261.87/205.85 | (19) ~ (e4 = e2)
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (59), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (865) all_0_17_17 = e4
% 261.87/205.85 |
% 261.87/205.85 | Equations (865) can reduce 869 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (869) ~ (all_0_17_17 = e4)
% 261.87/205.85 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (1148), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (831) all_0_22_22 = e4
% 261.87/205.85 |
% 261.87/205.85 | Equations (831) can reduce 576 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (576) ~ (all_0_22_22 = e4)
% 261.87/205.85 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (185), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1153) all_0_18_18 = e0
% 261.87/205.85 |
% 261.87/205.85 | Combining equations (1153,887) yields a new equation:
% 261.87/205.85 | (490) e4 = e0
% 261.87/205.85 |
% 261.87/205.85 | Equations (490) can reduce 287 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (1156) ~ (all_0_18_18 = e0)
% 261.87/205.85 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (285), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1158) all_0_25_25 = e4
% 261.87/205.85 |
% 261.87/205.85 | Equations (1158) can reduce 98 to:
% 261.87/205.85 | (1159) ~ (all_0_35_35 = e4)
% 261.87/205.85 |
% 261.87/205.85 | Simplifying 1159 yields:
% 261.87/205.85 | (514) ~ (all_0_35_35 = e4)
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (165), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1161) all_0_35_35 = e4
% 261.87/205.85 |
% 261.87/205.85 | Equations (1161) can reduce 514 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (514) ~ (all_0_35_35 = e4)
% 261.87/205.85 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (358), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1165) all_0_38_38 = e4
% 261.87/205.85 |
% 261.87/205.85 | Equations (1165) can reduce 1143 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (1143) ~ (all_0_38_38 = e4)
% 261.87/205.85 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (1168), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1077) all_0_38_38 = e3
% 261.87/205.85 |
% 261.87/205.85 | Equations (1077) can reduce 173 to:
% 261.87/205.85 | (570) ~ (all_0_35_35 = e3)
% 261.87/205.85 |
% 261.87/205.85 | From (1077) and (731) follows:
% 261.87/205.85 | (1171) op(e3, e4) = e1
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (732), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1172) ~ (op(e3, e4) = e1)
% 261.87/205.85 |
% 261.87/205.85 | Using (1171) and (1172) yields:
% 261.87/205.85 | (821) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (1171) op(e3, e4) = e1
% 261.87/205.85 | (1175) all_0_20_20 = e1
% 261.87/205.85 |
% 261.87/205.85 | Equations (1175) can reduce 249 to:
% 261.87/205.85 | (1176) ~ (all_0_35_35 = e1)
% 261.87/205.85 |
% 261.87/205.85 | Simplifying 1176 yields:
% 261.87/205.85 | (1177) ~ (all_0_35_35 = e1)
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (122), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1161) all_0_35_35 = e4
% 261.87/205.85 |
% 261.87/205.85 | Equations (1161) can reduce 514 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (514) ~ (all_0_35_35 = e4)
% 261.87/205.85 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (1181), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (814) all_0_35_35 = e3
% 261.87/205.85 |
% 261.87/205.85 | Equations (814) can reduce 570 to:
% 261.87/205.85 | (366) $false
% 261.87/205.85 |
% 261.87/205.85 |-The branch is then unsatisfiable
% 261.87/205.85 |-Branch two:
% 261.87/205.85 | (570) ~ (all_0_35_35 = e3)
% 261.87/205.85 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (1185), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (797) all_0_35_35 = e2
% 261.87/205.85 |
% 261.87/205.85 | Equations (797) can reduce 385 to:
% 261.87/205.85 | (347) ~ (e2 = e0)
% 261.87/205.85 |
% 261.87/205.85 | From (797) and (676) follows:
% 261.87/205.85 | (1188) op(e2, e2) = e0
% 261.87/205.85 |
% 261.87/205.85 +-Applying beta-rule and splitting (684), into two cases.
% 261.87/205.85 |-Branch one:
% 261.87/205.85 | (1189) ~ (op(e2, e2) = e0)
% 261.87/205.85 |
% 261.87/205.86 | Using (1188) and (1189) yields:
% 261.87/205.86 | (821) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (1188) op(e2, e2) = e0
% 261.87/205.86 | (551) e2 = e0
% 261.87/205.86 |
% 261.87/205.86 | Equations (551) can reduce 347 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (742) ~ (all_0_35_35 = e2)
% 261.87/205.86 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (16), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (1196) all_0_35_35 = e1
% 261.87/205.86 |
% 261.87/205.86 | Equations (1196) can reduce 1177 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (1177) ~ (all_0_35_35 = e1)
% 261.87/205.86 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1195), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (1196) all_0_35_35 = e1
% 261.87/205.86 |
% 261.87/205.86 | Equations (1196) can reduce 1177 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (1177) ~ (all_0_35_35 = e1)
% 261.87/205.86 | (1203) all_0_35_35 = e0
% 261.87/205.86 |
% 261.87/205.86 | Equations (1203) can reduce 385 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (1080) ~ (all_0_38_38 = e3)
% 261.87/205.86 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1206), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (809) all_0_38_38 = e2
% 261.87/205.86 |
% 261.87/205.86 | Equations (809) can reduce 1084 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (1084) ~ (all_0_38_38 = e2)
% 261.87/205.86 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1210), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (1211) all_0_38_38 = e1
% 261.87/205.86 |
% 261.87/205.86 | Equations (1211) can reduce 428 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (428) ~ (all_0_38_38 = e1)
% 261.87/205.86 | (1214) all_0_38_38 = e0
% 261.87/205.86 |
% 261.87/205.86 | Equations (1214) can reduce 388 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (501) ~ (all_0_25_25 = e4)
% 261.87/205.86 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1152), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (435) all_0_27_27 = e4
% 261.87/205.86 |
% 261.87/205.86 | Combining equations (443,435) yields a new equation:
% 261.87/205.86 | (539) e4 = e2
% 261.87/205.86 |
% 261.87/205.86 | Equations (539) can reduce 19 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (404) ~ (all_0_27_27 = e4)
% 261.87/205.86 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1157), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (851) all_0_23_23 = e0
% 261.87/205.86 |
% 261.87/205.86 | Combining equations (1126,851) yields a new equation:
% 261.87/205.86 | (836) e2 = e0
% 261.87/205.86 |
% 261.87/205.86 | Simplifying 836 yields:
% 261.87/205.86 | (551) e2 = e0
% 261.87/205.86 |
% 261.87/205.86 | Equations (551) can reduce 347 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (1068) ~ (all_0_23_23 = e0)
% 261.87/205.86 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1222), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (1229) all_0_32_32 = e4
% 261.87/205.86 |
% 261.87/205.86 | Equations (1229) can reduce 727 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (727) ~ (all_0_32_32 = e4)
% 261.87/205.86 | (1232) all_0_37_37 = e4
% 261.87/205.86 |
% 261.87/205.86 | Equations (1232) can reduce 515 to:
% 261.87/205.86 | (19) ~ (e4 = e2)
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1228), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (1044) all_0_28_28 = e0
% 261.87/205.86 |
% 261.87/205.86 | Equations (1044) can reduce 890 to:
% 261.87/205.86 | (389) ~ (e4 = e0)
% 261.87/205.86 |
% 261.87/205.86 | Simplifying 389 yields:
% 261.87/205.86 | (287) ~ (e4 = e0)
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1217), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (1237) all_0_26_26 = e4
% 261.87/205.86 |
% 261.87/205.86 | Equations (1237) can reduce 582 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (582) ~ (all_0_26_26 = e4)
% 261.87/205.86 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1240), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (435) all_0_27_27 = e4
% 261.87/205.86 |
% 261.87/205.86 | Combining equations (443,435) yields a new equation:
% 261.87/205.86 | (539) e4 = e2
% 261.87/205.86 |
% 261.87/205.86 | Equations (539) can reduce 19 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (404) ~ (all_0_27_27 = e4)
% 261.87/205.86 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1245), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (892) all_0_28_28 = e4
% 261.87/205.86 |
% 261.87/205.86 | Combining equations (1044,892) yields a new equation:
% 261.87/205.86 | (490) e4 = e0
% 261.87/205.86 |
% 261.87/205.86 | Equations (490) can reduce 287 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (890) ~ (all_0_28_28 = e4)
% 261.87/205.86 | (1250) all_0_29_29 = e4
% 261.87/205.86 |
% 261.87/205.86 | Equations (1250) can reduce 724 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (886) ~ (all_0_28_28 = e0)
% 261.87/205.86 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 261.87/205.86 |
% 261.87/205.86 +-Applying beta-rule and splitting (1253), into two cases.
% 261.87/205.86 |-Branch one:
% 261.87/205.86 | (1254) all_0_33_33 = e0
% 261.87/205.86 |
% 261.87/205.86 | Combining equations (418,1254) yields a new equation:
% 261.87/205.86 | (960) e1 = e0
% 261.87/205.86 |
% 261.87/205.86 | Simplifying 960 yields:
% 261.87/205.86 | (961) e1 = e0
% 261.87/205.86 |
% 261.87/205.86 | Equations (961) can reduce 37 to:
% 261.87/205.86 | (366) $false
% 261.87/205.86 |
% 261.87/205.86 |-The branch is then unsatisfiable
% 261.87/205.86 |-Branch two:
% 261.87/205.86 | (399) ~ (all_0_33_33 = e0)
% 261.87/205.86 | (1214) all_0_38_38 = e0
% 261.87/205.86 |
% 261.87/205.87 | Equations (1214) can reduce 388 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (1046) ~ (all_0_18_18 = e4)
% 261.87/205.87 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (694), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (701) all_0_16_16 = e4
% 261.87/205.87 |
% 261.87/205.87 | Equations (701) can reduce 573 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (573) ~ (all_0_16_16 = e4)
% 261.87/205.87 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (1047), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (1134) all_0_18_18 = e3
% 261.87/205.87 |
% 261.87/205.87 | Equations (1134) can reduce 560 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (560) ~ (all_0_18_18 = e3)
% 261.87/205.87 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (864), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (865) all_0_17_17 = e4
% 261.87/205.87 |
% 261.87/205.87 | Equations (865) can reduce 459 to:
% 261.87/205.87 | (19) ~ (e4 = e2)
% 261.87/205.87 |
% 261.87/205.87 | From (865) and (57) follows:
% 261.87/205.87 | (1273) op(e4, all_0_25_25) = e2
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (1270), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (1274) all_0_18_18 = e2
% 261.87/205.87 |
% 261.87/205.87 | Equations (1274) can reduce 666 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (666) ~ (all_0_18_18 = e2)
% 261.87/205.87 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (1277), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (1278) all_0_18_18 = e1
% 261.87/205.87 |
% 261.87/205.87 | Equations (1278) can reduce 419 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (419) ~ (all_0_18_18 = e1)
% 261.87/205.87 | (1153) all_0_18_18 = e0
% 261.87/205.87 |
% 261.87/205.87 | Equations (1153) can reduce 9 to:
% 261.87/205.87 | (824) ~ (all_0_16_16 = e0)
% 261.87/205.87 |
% 261.87/205.87 | Equations (1153) can reduce 300 to:
% 261.87/205.87 | (885) ~ (all_0_28_28 = e0)
% 261.87/205.87 |
% 261.87/205.87 | Simplifying 885 yields:
% 261.87/205.87 | (886) ~ (all_0_28_28 = e0)
% 261.87/205.87 |
% 261.87/205.87 | Equations (1153) can reduce 142 to:
% 261.87/205.87 | (1285) ~ (all_0_38_38 = e0)
% 261.87/205.87 |
% 261.87/205.87 | Simplifying 1285 yields:
% 261.87/205.87 | (388) ~ (all_0_38_38 = e0)
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (704), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (1287) all_0_16_16 = e3
% 261.87/205.87 |
% 261.87/205.87 | Equations (1287) can reduce 458 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (458) ~ (all_0_16_16 = e3)
% 261.87/205.87 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (709), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (921) all_0_16_16 = e1
% 261.87/205.87 |
% 261.87/205.87 | Combining equations (921,680) yields a new equation:
% 261.87/205.87 | (1292) all_0_11_11 = e1
% 261.87/205.87 |
% 261.87/205.87 | Equations (921) can reduce 824 to:
% 261.87/205.87 | (37) ~ (e1 = e0)
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (633), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (1294) all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)
% 261.87/205.87 |
% 261.87/205.87 | Applying alpha-rule on (1294) yields:
% 261.87/205.87 | (680) all_0_11_11 = all_0_16_16
% 261.87/205.87 | (985) ~ (all_0_16_16 = e1)
% 261.87/205.87 |
% 261.87/205.87 | Combining equations (680,1292) yields a new equation:
% 261.87/205.87 | (1297) all_0_16_16 = e1
% 261.87/205.87 |
% 261.87/205.87 | Simplifying 1297 yields:
% 261.87/205.87 | (921) all_0_16_16 = e1
% 261.87/205.87 |
% 261.87/205.87 | Equations (921) can reduce 985 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (1300) all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10))
% 261.87/205.87 |
% 261.87/205.87 | Applying alpha-rule on (1300) yields:
% 261.87/205.87 | (680) all_0_11_11 = all_0_16_16
% 261.87/205.87 | (1302) ( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)
% 261.87/205.87 |
% 261.87/205.87 | Combining equations (680,1292) yields a new equation:
% 261.87/205.87 | (1297) all_0_16_16 = e1
% 261.87/205.87 |
% 261.87/205.87 | Simplifying 1297 yields:
% 261.87/205.87 | (921) all_0_16_16 = e1
% 261.87/205.87 |
% 261.87/205.87 | Instantiating formula (97) with e4, e4, e2, e3 and discharging atoms op(e4, e4) = e3, yields:
% 261.87/205.87 | (1305) e3 = e2 | ~ (op(e4, e4) = e2)
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (338), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (892) all_0_28_28 = e4
% 261.87/205.87 |
% 261.87/205.87 | Equations (892) can reduce 198 to:
% 261.87/205.87 | (1142) ~ (all_0_38_38 = e4)
% 261.87/205.87 |
% 261.87/205.87 | Simplifying 1142 yields:
% 261.87/205.87 | (1143) ~ (all_0_38_38 = e4)
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (358), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (1165) all_0_38_38 = e4
% 261.87/205.87 |
% 261.87/205.87 | Equations (1165) can reduce 1143 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (1143) ~ (all_0_38_38 = e4)
% 261.87/205.87 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (1168), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (1077) all_0_38_38 = e3
% 261.87/205.87 |
% 261.87/205.87 | From (1077) and (730) follows:
% 261.87/205.87 | (1314) op(e4, e3) = e0
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (734), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (1315) ~ (op(e4, e3) = e0)
% 261.87/205.87 |
% 261.87/205.87 | Using (1314) and (1315) yields:
% 261.87/205.87 | (821) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (1314) op(e4, e3) = e0
% 261.87/205.87 | (873) all_0_16_16 = e0
% 261.87/205.87 |
% 261.87/205.87 | Combining equations (873,921) yields a new equation:
% 261.87/205.87 | (961) e1 = e0
% 261.87/205.87 |
% 261.87/205.87 | Equations (961) can reduce 37 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.87 |-The branch is then unsatisfiable
% 261.87/205.87 |-Branch two:
% 261.87/205.87 | (1080) ~ (all_0_38_38 = e3)
% 261.87/205.87 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 261.87/205.87 |
% 261.87/205.87 +-Applying beta-rule and splitting (1206), into two cases.
% 261.87/205.87 |-Branch one:
% 261.87/205.87 | (809) all_0_38_38 = e2
% 261.87/205.87 |
% 261.87/205.87 | Equations (809) can reduce 1084 to:
% 261.87/205.87 | (366) $false
% 261.87/205.87 |
% 261.87/205.88 |-The branch is then unsatisfiable
% 261.87/205.88 |-Branch two:
% 261.87/205.88 | (1084) ~ (all_0_38_38 = e2)
% 261.87/205.88 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 261.87/205.88 |
% 261.87/205.88 +-Applying beta-rule and splitting (1210), into two cases.
% 261.87/205.88 |-Branch one:
% 262.18/205.88 | (1211) all_0_38_38 = e1
% 262.18/205.88 |
% 262.18/205.88 | Equations (1211) can reduce 428 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (428) ~ (all_0_38_38 = e1)
% 262.18/205.88 | (1214) all_0_38_38 = e0
% 262.18/205.88 |
% 262.18/205.88 | Equations (1214) can reduce 388 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (890) ~ (all_0_28_28 = e4)
% 262.18/205.88 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (285), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (1158) all_0_25_25 = e4
% 262.18/205.88 |
% 262.18/205.88 | From (1158) and (1273) follows:
% 262.18/205.88 | (1335) op(e4, e4) = e2
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (1305), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (1336) ~ (op(e4, e4) = e2)
% 262.18/205.88 |
% 262.18/205.88 | Using (1335) and (1336) yields:
% 262.18/205.88 | (821) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (1335) op(e4, e4) = e2
% 262.18/205.88 | (764) e3 = e2
% 262.18/205.88 |
% 262.18/205.88 | Equations (764) can reduce 56 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (501) ~ (all_0_25_25 = e4)
% 262.18/205.88 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (895), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (896) all_0_28_28 = e3
% 262.18/205.88 |
% 262.18/205.88 | Equations (896) can reduce 890 to:
% 262.18/205.88 | (695) ~ (e4 = e3)
% 262.18/205.88 |
% 262.18/205.88 | Simplifying 695 yields:
% 262.18/205.88 | (277) ~ (e4 = e3)
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (1217), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (1237) all_0_26_26 = e4
% 262.18/205.88 |
% 262.18/205.88 | Equations (1237) can reduce 582 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (582) ~ (all_0_26_26 = e4)
% 262.18/205.88 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (1240), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (435) all_0_27_27 = e4
% 262.18/205.88 |
% 262.18/205.88 | Combining equations (443,435) yields a new equation:
% 262.18/205.88 | (539) e4 = e2
% 262.18/205.88 |
% 262.18/205.88 | Equations (539) can reduce 19 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (404) ~ (all_0_27_27 = e4)
% 262.18/205.88 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (1245), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (892) all_0_28_28 = e4
% 262.18/205.88 |
% 262.18/205.88 | Combining equations (896,892) yields a new equation:
% 262.18/205.88 | (691) e4 = e3
% 262.18/205.88 |
% 262.18/205.88 | Equations (691) can reduce 277 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (890) ~ (all_0_28_28 = e4)
% 262.18/205.88 | (1250) all_0_29_29 = e4
% 262.18/205.88 |
% 262.18/205.88 | Equations (1250) can reduce 724 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (1035) ~ (all_0_28_28 = e3)
% 262.18/205.88 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (1036), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (1037) all_0_28_28 = e2
% 262.18/205.88 |
% 262.18/205.88 | Equations (1037) can reduce 649 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (649) ~ (all_0_28_28 = e2)
% 262.18/205.88 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (1040), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (1041) all_0_28_28 = e1
% 262.18/205.88 |
% 262.18/205.88 | Equations (1041) can reduce 421 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (421) ~ (all_0_28_28 = e1)
% 262.18/205.88 | (1044) all_0_28_28 = e0
% 262.18/205.88 |
% 262.18/205.88 | Equations (1044) can reduce 886 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (985) ~ (all_0_16_16 = e1)
% 262.18/205.88 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (1290), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (697) all_0_16_16 = e2
% 262.18/205.88 |
% 262.18/205.88 | Equations (697) can reduce 664 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (664) ~ (all_0_16_16 = e2)
% 262.18/205.88 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 262.18/205.88 |
% 262.18/205.88 +-Applying beta-rule and splitting (1377), into two cases.
% 262.18/205.88 |-Branch one:
% 262.18/205.88 | (921) all_0_16_16 = e1
% 262.18/205.88 |
% 262.18/205.88 | Equations (921) can reduce 985 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.18/205.88 |-Branch two:
% 262.18/205.88 | (985) ~ (all_0_16_16 = e1)
% 262.18/205.88 | (873) all_0_16_16 = e0
% 262.18/205.88 |
% 262.18/205.88 | Equations (873) can reduce 824 to:
% 262.18/205.88 | (366) $false
% 262.18/205.88 |
% 262.18/205.88 |-The branch is then unsatisfiable
% 262.21/205.88 |-Branch two:
% 262.21/205.88 | (869) ~ (all_0_17_17 = e4)
% 262.21/205.88 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 262.21/205.88 |
% 262.21/205.88 +-Applying beta-rule and splitting (870), into two cases.
% 262.21/205.88 |-Branch one:
% 262.21/205.88 | (887) all_0_18_18 = e4
% 262.21/205.88 |
% 262.21/205.88 | Equations (887) can reduce 1046 to:
% 262.21/205.88 | (366) $false
% 262.21/205.88 |
% 262.21/205.88 |-The branch is then unsatisfiable
% 262.21/205.88 |-Branch two:
% 262.21/205.88 | (1046) ~ (all_0_18_18 = e4)
% 262.21/205.88 | (711) all_0_19_19 = e4
% 262.21/205.89 |
% 262.21/205.89 | Combining equations (711,663) yields a new equation:
% 262.21/205.89 | (1111) e4 = e2
% 262.21/205.89 |
% 262.21/205.89 | Simplifying 1111 yields:
% 262.21/205.89 | (539) e4 = e2
% 262.21/205.89 |
% 262.21/205.89 | Equations (539) can reduce 19 to:
% 262.21/205.89 | (366) $false
% 262.21/205.89 |
% 262.21/205.89 |-The branch is then unsatisfiable
% 262.21/205.89 |-Branch two:
% 262.21/205.89 | (810) ~ (all_0_23_23 = e2)
% 262.21/205.89 | (1393) all_0_24_24 = e2
% 262.21/205.89 |
% 262.21/205.89 | Equations (1393) can reduce 668 to:
% 262.21/205.89 | (366) $false
% 262.21/205.89 |
% 262.21/205.89 |-The branch is then unsatisfiable
% 262.21/205.89 |-Branch two:
% 262.21/205.89 | (1395) ~ (all_0_34_34 = e4)
% 262.21/205.89 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (715), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (685) all_0_24_24 = e4
% 262.21/205.89 |
% 262.21/205.89 | Equations (685) can reduce 580 to:
% 262.21/205.89 | (366) $false
% 262.21/205.89 |
% 262.21/205.89 |-The branch is then unsatisfiable
% 262.21/205.89 |-Branch two:
% 262.21/205.89 | (580) ~ (all_0_24_24 = e4)
% 262.21/205.89 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (1400), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (1250) all_0_29_29 = e4
% 262.21/205.89 |
% 262.21/205.89 | Equations (1250) can reduce 85 to:
% 262.21/205.89 | (580) ~ (all_0_24_24 = e4)
% 262.21/205.89 |
% 262.21/205.89 | Equations (1250) can reduce 62 to:
% 262.21/205.89 | (501) ~ (all_0_25_25 = e4)
% 262.21/205.89 |
% 262.21/205.89 | Equations (1250) can reduce 38 to:
% 262.21/205.89 | (582) ~ (all_0_26_26 = e4)
% 262.21/205.89 |
% 262.21/205.89 | Equations (1250) can reduce 73 to:
% 262.21/205.89 | (890) ~ (all_0_28_28 = e4)
% 262.21/205.89 |
% 262.21/205.89 | Equations (1250) can reduce 651 to:
% 262.21/205.89 | (19) ~ (e4 = e2)
% 262.21/205.89 |
% 262.21/205.89 | From (1250) and (310) follows:
% 262.21/205.89 | (1407) op(all_0_37_37, e4) = e2
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (721), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (940) all_0_24_24 = e1
% 262.21/205.89 |
% 262.21/205.89 | Equations (940) can reduce 167 to:
% 262.21/205.89 | (1409) ~ (all_0_20_20 = e1)
% 262.21/205.89 |
% 262.21/205.89 | Equations (940) can reduce 268 to:
% 262.21/205.89 | (1018) ~ (all_0_22_22 = e1)
% 262.21/205.89 |
% 262.21/205.89 | Equations (940) can reduce 4 to:
% 262.21/205.89 | (425) ~ (all_0_34_34 = e1)
% 262.21/205.89 |
% 262.21/205.89 | Simplifying 425 yields:
% 262.21/205.89 | (426) ~ (all_0_34_34 = e1)
% 262.21/205.89 |
% 262.21/205.89 | Equations (940) can reduce 580 to:
% 262.21/205.89 | (477) ~ (e4 = e1)
% 262.21/205.89 |
% 262.21/205.89 | Simplifying 477 yields:
% 262.21/205.89 | (65) ~ (e4 = e1)
% 262.21/205.89 |
% 262.21/205.89 | Equations (940) can reduce 668 to:
% 262.21/205.89 | (1002) ~ (e2 = e1)
% 262.21/205.89 |
% 262.21/205.89 | Simplifying 1002 yields:
% 262.21/205.89 | (329) ~ (e2 = e1)
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (1396), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (1027) all_0_34_34 = e3
% 262.21/205.89 |
% 262.21/205.89 | Equations (1027) can reduce 15 to:
% 262.21/205.89 | (568) ~ (all_0_30_30 = e3)
% 262.21/205.89 |
% 262.21/205.89 | Equations (1027) can reduce 188 to:
% 262.21/205.89 | (510) ~ (all_0_31_31 = e3)
% 262.21/205.89 |
% 262.21/205.89 | Equations (1027) can reduce 199 to:
% 262.21/205.89 | (1089) ~ (all_0_32_32 = e3)
% 262.21/205.89 |
% 262.21/205.89 | Equations (1027) can reduce 426 to:
% 262.21/205.89 | (318) ~ (e3 = e1)
% 262.21/205.89 |
% 262.21/205.89 | Instantiating formula (97) with e1, e4, e2, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 262.21/205.89 | (1422) all_0_30_30 = e2 | ~ (op(e1, e4) = e2)
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (26), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (887) all_0_18_18 = e4
% 262.21/205.89 |
% 262.21/205.89 | Equations (887) can reduce 560 to:
% 262.21/205.89 | (277) ~ (e4 = e3)
% 262.21/205.89 |
% 262.21/205.89 | Equations (887) can reduce 419 to:
% 262.21/205.89 | (65) ~ (e4 = e1)
% 262.21/205.89 |
% 262.21/205.89 | From (887) and (290) follows:
% 262.21/205.89 | (1426) op(all_0_30_30, e4) = e4
% 262.21/205.89 |
% 262.21/205.89 | Instantiating formula (97) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e3, yields:
% 262.21/205.89 | (1427) e4 = e3 | ~ (op(e4, e4) = e4)
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (327), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (768) all_0_30_30 = e4
% 262.21/205.89 |
% 262.21/205.89 | Equations (768) can reduce 568 to:
% 262.21/205.89 | (277) ~ (e4 = e3)
% 262.21/205.89 |
% 262.21/205.89 | From (768) and (1426) follows:
% 262.21/205.89 | (1430) op(e4, e4) = e4
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (1427), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (1431) ~ (op(e4, e4) = e4)
% 262.21/205.89 |
% 262.21/205.89 | Using (1430) and (1431) yields:
% 262.21/205.89 | (821) $false
% 262.21/205.89 |
% 262.21/205.89 |-The branch is then unsatisfiable
% 262.21/205.89 |-Branch two:
% 262.21/205.89 | (1430) op(e4, e4) = e4
% 262.21/205.89 | (691) e4 = e3
% 262.21/205.89 |
% 262.21/205.89 | Equations (691) can reduce 277 to:
% 262.21/205.89 | (366) $false
% 262.21/205.89 |
% 262.21/205.89 |-The branch is then unsatisfiable
% 262.21/205.89 |-Branch two:
% 262.21/205.89 | (509) ~ (all_0_30_30 = e4)
% 262.21/205.89 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (8), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (464) all_0_15_15 = e4
% 262.21/205.89 |
% 262.21/205.89 | Combining equations (464,468) yields a new equation:
% 262.21/205.89 | (690) e4 = e3
% 262.21/205.89 |
% 262.21/205.89 | Simplifying 690 yields:
% 262.21/205.89 | (691) e4 = e3
% 262.21/205.89 |
% 262.21/205.89 | Equations (691) can reduce 277 to:
% 262.21/205.89 | (366) $false
% 262.21/205.89 |
% 262.21/205.89 |-The branch is then unsatisfiable
% 262.21/205.89 |-Branch two:
% 262.21/205.89 | (460) ~ (all_0_15_15 = e4)
% 262.21/205.89 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 262.21/205.89 |
% 262.21/205.89 | Equations (468) can reduce 460 to:
% 262.21/205.89 | (695) ~ (e4 = e3)
% 262.21/205.89 |
% 262.21/205.89 | Simplifying 695 yields:
% 262.21/205.89 | (277) ~ (e4 = e3)
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (1437), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (1446) all_0_31_31 = e4
% 262.21/205.89 |
% 262.21/205.89 | Equations (1446) can reduce 584 to:
% 262.21/205.89 | (366) $false
% 262.21/205.89 |
% 262.21/205.89 |-The branch is then unsatisfiable
% 262.21/205.89 |-Branch two:
% 262.21/205.89 | (584) ~ (all_0_31_31 = e4)
% 262.21/205.89 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (1449), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (1229) all_0_32_32 = e4
% 262.21/205.89 |
% 262.21/205.89 | Equations (1229) can reduce 286 to:
% 262.21/205.89 | (869) ~ (all_0_17_17 = e4)
% 262.21/205.89 |
% 262.21/205.89 | Equations (1229) can reduce 186 to:
% 262.21/205.89 | (509) ~ (all_0_30_30 = e4)
% 262.21/205.89 |
% 262.21/205.89 +-Applying beta-rule and splitting (914), into two cases.
% 262.21/205.89 |-Branch one:
% 262.21/205.89 | (1453) all_0_20_20 = e4
% 262.21/205.89 |
% 262.21/205.90 | Equations (1453) can reduce 496 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (496) ~ (all_0_20_20 = e4)
% 262.21/205.90 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (1456), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (1158) all_0_25_25 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (1158) can reduce 501 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (501) ~ (all_0_25_25 = e4)
% 262.21/205.90 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (165), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (1161) all_0_35_35 = e4
% 262.21/205.90 |
% 262.21/205.90 | From (1161) and (677) follows:
% 262.21/205.90 | (1462) op(e4, e2) = e4
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (682), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (1463) ~ (op(e4, e2) = e4)
% 262.21/205.90 |
% 262.21/205.90 | Using (1462) and (1463) yields:
% 262.21/205.90 | (821) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (1462) op(e4, e2) = e4
% 262.21/205.90 | (865) all_0_17_17 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (865) can reduce 869 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (514) ~ (all_0_35_35 = e4)
% 262.21/205.90 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (1460), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (768) all_0_30_30 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (768) can reduce 509 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (509) ~ (all_0_30_30 = e4)
% 262.21/205.90 | (1161) all_0_35_35 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (1161) can reduce 514 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (727) ~ (all_0_32_32 = e4)
% 262.21/205.90 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (1476), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (406) all_0_33_33 = e4
% 262.21/205.90 |
% 262.21/205.90 | Combining equations (406,418) yields a new equation:
% 262.21/205.90 | (955) e4 = e1
% 262.21/205.90 |
% 262.21/205.90 | Simplifying 955 yields:
% 262.21/205.90 | (480) e4 = e1
% 262.21/205.90 |
% 262.21/205.90 | Equations (480) can reduce 65 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (405) ~ (all_0_33_33 = e4)
% 262.21/205.90 | (723) all_0_34_34 = e4
% 262.21/205.90 |
% 262.21/205.90 | Combining equations (723,1027) yields a new equation:
% 262.21/205.90 | (690) e4 = e3
% 262.21/205.90 |
% 262.21/205.90 | Simplifying 690 yields:
% 262.21/205.90 | (691) e4 = e3
% 262.21/205.90 |
% 262.21/205.90 | Equations (691) can reduce 277 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (1046) ~ (all_0_18_18 = e4)
% 262.21/205.90 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (694), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (701) all_0_16_16 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (701) can reduce 573 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (573) ~ (all_0_16_16 = e4)
% 262.21/205.90 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (864), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (865) all_0_17_17 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (865) can reduce 74 to:
% 262.21/205.90 | (1493) ~ (all_0_18_18 = e4)
% 262.21/205.90 |
% 262.21/205.90 | Simplifying 1493 yields:
% 262.21/205.90 | (1046) ~ (all_0_18_18 = e4)
% 262.21/205.90 |
% 262.21/205.90 | Equations (865) can reduce 286 to:
% 262.21/205.90 | (1495) ~ (all_0_32_32 = e4)
% 262.21/205.90 |
% 262.21/205.90 | Simplifying 1495 yields:
% 262.21/205.90 | (727) ~ (all_0_32_32 = e4)
% 262.21/205.90 |
% 262.21/205.90 | Equations (865) can reduce 558 to:
% 262.21/205.90 | (277) ~ (e4 = e3)
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (17), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (1498) all_0_17_17 = e1
% 262.21/205.90 |
% 262.21/205.90 | Combining equations (1498,865) yields a new equation:
% 262.21/205.90 | (480) e4 = e1
% 262.21/205.90 |
% 262.21/205.90 | Equations (480) can reduce 65 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (1501) ~ (all_0_17_17 = e1)
% 262.21/205.90 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (261), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (1229) all_0_32_32 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (1229) can reduce 727 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (727) ~ (all_0_32_32 = e4)
% 262.21/205.90 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (327), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (768) all_0_30_30 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (768) can reduce 186 to:
% 262.21/205.90 | (1495) ~ (all_0_32_32 = e4)
% 262.21/205.90 |
% 262.21/205.90 | Simplifying 1495 yields:
% 262.21/205.90 | (727) ~ (all_0_32_32 = e4)
% 262.21/205.90 |
% 262.21/205.90 | Equations (768) can reduce 422 to:
% 262.21/205.90 | (65) ~ (e4 = e1)
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (36), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (887) all_0_18_18 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (887) can reduce 1046 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (1046) ~ (all_0_18_18 = e4)
% 262.21/205.90 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (1051), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (1515) all_0_23_23 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (1515) can reduce 578 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (578) ~ (all_0_23_23 = e4)
% 262.21/205.90 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 262.21/205.90 |
% 262.21/205.90 +-Applying beta-rule and splitting (1518), into two cases.
% 262.21/205.90 |-Branch one:
% 262.21/205.90 | (892) all_0_28_28 = e4
% 262.21/205.90 |
% 262.21/205.90 | Equations (892) can reduce 890 to:
% 262.21/205.90 | (366) $false
% 262.21/205.90 |
% 262.21/205.90 |-The branch is then unsatisfiable
% 262.21/205.90 |-Branch two:
% 262.21/205.90 | (890) ~ (all_0_28_28 = e4)
% 262.21/205.91 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 262.21/205.91 |
% 262.21/205.91 +-Applying beta-rule and splitting (1522), into two cases.
% 262.21/205.91 |-Branch one:
% 262.21/205.91 | (406) all_0_33_33 = e4
% 262.21/205.91 |
% 262.21/205.91 | Combining equations (418,406) yields a new equation:
% 262.21/205.91 | (480) e4 = e1
% 262.21/205.91 |
% 262.21/205.91 | Equations (480) can reduce 65 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (405) ~ (all_0_33_33 = e4)
% 262.30/205.91 | (1165) all_0_38_38 = e4
% 262.30/205.91 |
% 262.30/205.91 | Equations (1165) can reduce 173 to:
% 262.30/205.91 | (514) ~ (all_0_35_35 = e4)
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (214), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (797) all_0_35_35 = e2
% 262.30/205.91 |
% 262.30/205.91 | Equations (797) can reduce 385 to:
% 262.30/205.91 | (347) ~ (e2 = e0)
% 262.30/205.91 |
% 262.30/205.91 | From (797) and (676) follows:
% 262.30/205.91 | (1188) op(e2, e2) = e0
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (684), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1189) ~ (op(e2, e2) = e0)
% 262.30/205.91 |
% 262.30/205.91 | Using (1188) and (1189) yields:
% 262.30/205.91 | (821) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (1188) op(e2, e2) = e0
% 262.30/205.91 | (551) e2 = e0
% 262.30/205.91 |
% 262.30/205.91 | Equations (551) can reduce 347 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (742) ~ (all_0_35_35 = e2)
% 262.30/205.91 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (122), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1161) all_0_35_35 = e4
% 262.30/205.91 |
% 262.30/205.91 | Equations (1161) can reduce 514 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (514) ~ (all_0_35_35 = e4)
% 262.30/205.91 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1181), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (814) all_0_35_35 = e3
% 262.30/205.91 |
% 262.30/205.91 | Equations (814) can reduce 570 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (570) ~ (all_0_35_35 = e3)
% 262.30/205.91 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1185), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (797) all_0_35_35 = e2
% 262.30/205.91 |
% 262.30/205.91 | Equations (797) can reduce 742 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (742) ~ (all_0_35_35 = e2)
% 262.30/205.91 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1195), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1196) all_0_35_35 = e1
% 262.30/205.91 |
% 262.30/205.91 | From (1196) and (677) follows:
% 262.30/205.91 | (1552) op(e1, e2) = e4
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (683), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1553) ~ (op(e1, e2) = e4)
% 262.30/205.91 |
% 262.30/205.91 | Using (1552) and (1553) yields:
% 262.30/205.91 | (821) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (1552) op(e1, e2) = e4
% 262.30/205.91 | (1229) all_0_32_32 = e4
% 262.30/205.91 |
% 262.30/205.91 | Equations (1229) can reduce 727 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (1177) ~ (all_0_35_35 = e1)
% 262.30/205.91 | (1203) all_0_35_35 = e0
% 262.30/205.91 |
% 262.30/205.91 | Equations (1203) can reduce 385 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (509) ~ (all_0_30_30 = e4)
% 262.30/205.91 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1502), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (999) all_0_22_22 = e1
% 262.30/205.91 |
% 262.30/205.91 | Equations (999) can reduce 1018 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (1018) ~ (all_0_22_22 = e1)
% 262.30/205.91 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (8), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (464) all_0_15_15 = e4
% 262.30/205.91 |
% 262.30/205.91 | Combining equations (464,468) yields a new equation:
% 262.30/205.91 | (690) e4 = e3
% 262.30/205.91 |
% 262.30/205.91 | Simplifying 690 yields:
% 262.30/205.91 | (691) e4 = e3
% 262.30/205.91 |
% 262.30/205.91 | Equations (691) can reduce 277 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (460) ~ (all_0_15_15 = e4)
% 262.30/205.91 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (914), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1453) all_0_20_20 = e4
% 262.30/205.91 |
% 262.30/205.91 | Equations (1453) can reduce 496 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (496) ~ (all_0_20_20 = e4)
% 262.30/205.91 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1437), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1446) all_0_31_31 = e4
% 262.30/205.91 |
% 262.30/205.91 | Equations (1446) can reduce 584 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (584) ~ (all_0_31_31 = e4)
% 262.30/205.91 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1566), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (543) all_0_27_27 = e1
% 262.30/205.91 |
% 262.30/205.91 | Combining equations (443,543) yields a new equation:
% 262.30/205.91 | (717) e2 = e1
% 262.30/205.91 |
% 262.30/205.91 | Simplifying 717 yields:
% 262.30/205.91 | (718) e2 = e1
% 262.30/205.91 |
% 262.30/205.91 | Equations (718) can reduce 329 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (402) ~ (all_0_27_27 = e1)
% 262.30/205.91 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1586), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1587) all_0_32_32 = e1
% 262.30/205.91 |
% 262.30/205.91 | Equations (1587) can reduce 424 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (424) ~ (all_0_32_32 = e1)
% 262.30/205.91 | (1590) all_0_37_37 = e1
% 262.30/205.91 |
% 262.30/205.91 | Equations (1590) can reduce 336 to:
% 262.30/205.91 | (424) ~ (all_0_32_32 = e1)
% 262.30/205.91 |
% 262.30/205.91 | Equations (1590) can reduce 121 to:
% 262.30/205.91 | (1177) ~ (all_0_35_35 = e1)
% 262.30/205.91 |
% 262.30/205.91 | Equations (1590) can reduce 183 to:
% 262.30/205.91 | (1593) ~ (all_0_36_36 = e1)
% 262.30/205.91 |
% 262.30/205.91 | From (1590) and (1407) follows:
% 262.30/205.91 | (1594) op(e1, e4) = e2
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1456), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1158) all_0_25_25 = e4
% 262.30/205.91 |
% 262.30/205.91 | Equations (1158) can reduce 501 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (501) ~ (all_0_25_25 = e4)
% 262.30/205.91 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1460), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (768) all_0_30_30 = e4
% 262.30/205.91 |
% 262.30/205.91 | Equations (768) can reduce 509 to:
% 262.30/205.91 | (366) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (509) ~ (all_0_30_30 = e4)
% 262.30/205.91 | (1161) all_0_35_35 = e4
% 262.30/205.91 |
% 262.30/205.91 | Equations (1161) can reduce 1177 to:
% 262.30/205.91 | (65) ~ (e4 = e1)
% 262.30/205.91 |
% 262.30/205.91 +-Applying beta-rule and splitting (1422), into two cases.
% 262.30/205.91 |-Branch one:
% 262.30/205.91 | (1604) ~ (op(e1, e4) = e2)
% 262.30/205.91 |
% 262.30/205.91 | Using (1594) and (1604) yields:
% 262.30/205.91 | (821) $false
% 262.30/205.91 |
% 262.30/205.91 |-The branch is then unsatisfiable
% 262.30/205.91 |-Branch two:
% 262.30/205.91 | (1594) op(e1, e4) = e2
% 262.30/205.91 | (747) all_0_30_30 = e2
% 262.30/205.91 |
% 262.30/205.91 | Equations (747) can reduce 217 to:
% 262.30/205.91 | (1608) ~ (all_0_31_31 = e2)
% 262.30/205.91 |
% 262.30/205.91 | Simplifying 1608 yields:
% 262.30/205.91 | (1099) ~ (all_0_31_31 = e2)
% 262.30/205.91 |
% 262.30/205.91 | Equations (747) can reduce 186 to:
% 262.30/205.91 | (652) ~ (all_0_32_32 = e2)
% 262.30/205.91 |
% 262.30/205.91 | Simplifying 652 yields:
% 262.30/205.92 | (508) ~ (all_0_32_32 = e2)
% 262.30/205.92 |
% 262.30/205.92 +-Applying beta-rule and splitting (709), into two cases.
% 262.30/205.92 |-Branch one:
% 262.30/205.92 | (921) all_0_16_16 = e1
% 262.30/205.92 |
% 262.30/205.92 | Equations (921) can reduce 10 to:
% 262.30/205.92 | (1613) ~ (all_0_31_31 = e1)
% 262.30/205.92 |
% 262.30/205.92 | Simplifying 1613 yields:
% 262.30/205.92 | (423) ~ (all_0_31_31 = e1)
% 262.30/205.92 |
% 262.30/205.92 +-Applying beta-rule and splitting (1506), into two cases.
% 262.30/205.92 |-Branch one:
% 262.30/205.92 | (772) all_0_32_32 = e3
% 262.30/205.92 |
% 262.30/205.92 | Equations (772) can reduce 1089 to:
% 262.30/205.92 | (366) $false
% 262.30/205.92 |
% 262.30/205.92 |-The branch is then unsatisfiable
% 262.30/205.92 |-Branch two:
% 262.30/205.92 | (1089) ~ (all_0_32_32 = e3)
% 262.30/205.92 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 262.30/205.92 |
% 262.30/205.92 +-Applying beta-rule and splitting (1618), into two cases.
% 262.30/205.92 |-Branch one:
% 262.30/205.92 | (1101) all_0_32_32 = e2
% 262.30/205.92 |
% 262.30/205.92 | Equations (1101) can reduce 508 to:
% 262.30/205.92 | (366) $false
% 262.30/205.92 |
% 262.30/205.92 |-The branch is then unsatisfiable
% 262.30/205.92 |-Branch two:
% 262.30/205.92 | (508) ~ (all_0_32_32 = e2)
% 262.30/205.92 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 262.30/205.92 |
% 262.30/205.92 +-Applying beta-rule and splitting (1622), into two cases.
% 262.30/205.92 |-Branch one:
% 262.30/205.92 | (1587) all_0_32_32 = e1
% 262.30/205.92 |
% 262.30/205.92 | Equations (1587) can reduce 424 to:
% 262.30/205.92 | (366) $false
% 262.30/205.92 |
% 262.30/205.92 |-The branch is then unsatisfiable
% 262.30/205.92 |-Branch two:
% 262.30/205.92 | (424) ~ (all_0_32_32 = e1)
% 262.30/205.92 | (1626) all_0_32_32 = e0
% 262.30/205.92 |
% 262.30/205.92 | Equations (1626) can reduce 247 to:
% 262.30/205.92 | (1064) ~ (all_0_31_31 = e0)
% 262.30/205.92 |
% 262.30/205.92 +-Applying beta-rule and splitting (115), into two cases.
% 262.30/205.92 |-Branch one:
% 262.30/205.92 | (1446) all_0_31_31 = e4
% 262.30/205.92 |
% 262.30/205.92 | Equations (1446) can reduce 584 to:
% 262.30/205.92 | (366) $false
% 262.30/205.92 |
% 262.30/205.92 |-The branch is then unsatisfiable
% 262.30/205.92 |-Branch two:
% 262.30/205.92 | (584) ~ (all_0_31_31 = e4)
% 262.30/205.92 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 262.30/205.92 |
% 262.30/205.92 +-Applying beta-rule and splitting (1631), into two cases.
% 262.30/205.92 |-Branch one:
% 262.30/205.92 | (763) all_0_31_31 = e3
% 262.30/205.92 |
% 262.30/205.92 | Equations (763) can reduce 510 to:
% 262.30/205.92 | (366) $false
% 262.30/205.92 |
% 262.30/205.92 |-The branch is then unsatisfiable
% 262.30/205.92 |-Branch two:
% 262.30/205.92 | (510) ~ (all_0_31_31 = e3)
% 262.30/205.92 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 262.30/205.92 |
% 262.30/205.92 +-Applying beta-rule and splitting (1635), into two cases.
% 262.30/205.92 |-Branch one:
% 262.30/205.92 | (751) all_0_31_31 = e2
% 262.30/205.92 |
% 262.30/205.92 | Equations (751) can reduce 1099 to:
% 262.30/205.92 | (366) $false
% 262.30/205.92 |
% 262.30/205.92 |-The branch is then unsatisfiable
% 262.30/205.92 |-Branch two:
% 262.30/205.92 | (1099) ~ (all_0_31_31 = e2)
% 262.30/205.92 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 262.30/205.92 |
% 262.30/205.92 +-Applying beta-rule and splitting (1639), into two cases.
% 262.30/205.92 |-Branch one:
% 262.30/205.92 | (1010) all_0_31_31 = e1
% 262.30/205.92 |
% 262.30/205.92 | Equations (1010) can reduce 423 to:
% 262.30/205.92 | (366) $false
% 262.30/205.92 |
% 262.30/205.92 |-The branch is then unsatisfiable
% 262.30/205.92 |-Branch two:
% 262.30/205.92 | (423) ~ (all_0_31_31 = e1)
% 262.30/205.92 | (1060) all_0_31_31 = e0
% 262.30/205.92 |
% 262.30/205.92 | Equations (1060) can reduce 1064 to:
% 262.30/205.92 | (366) $false
% 262.30/205.92 |
% 262.30/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (985) ~ (all_0_16_16 = e1)
% 262.36/205.92 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (29), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (476) all_0_15_15 = e1
% 262.36/205.92 |
% 262.36/205.92 | Combining equations (468,476) yields a new equation:
% 262.36/205.92 | (933) e3 = e1
% 262.36/205.92 |
% 262.36/205.92 | Simplifying 933 yields:
% 262.36/205.92 | (706) e3 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (706) can reduce 318 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (482) ~ (all_0_15_15 = e1)
% 262.36/205.92 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (937), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (1175) all_0_20_20 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (1175) can reduce 1409 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (1409) ~ (all_0_20_20 = e1)
% 262.36/205.92 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (228), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (921) all_0_16_16 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (921) can reduce 985 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (985) ~ (all_0_16_16 = e1)
% 262.36/205.92 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (986), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (526) all_0_21_21 = e1
% 262.36/205.92 |
% 262.36/205.92 | Combining equations (449,526) yields a new equation:
% 262.36/205.92 | (955) e4 = e1
% 262.36/205.92 |
% 262.36/205.92 | Simplifying 955 yields:
% 262.36/205.92 | (480) e4 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (480) can reduce 65 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (363) ~ (all_0_21_21 = e1)
% 262.36/205.92 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (998), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (1005) all_0_26_26 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (1005) can reduce 128 to:
% 262.36/205.92 | (946) ~ (all_0_25_25 = e1)
% 262.36/205.92 |
% 262.36/205.92 | Equations (1005) can reduce 582 to:
% 262.36/205.92 | (477) ~ (e4 = e1)
% 262.36/205.92 |
% 262.36/205.92 | Simplifying 477 yields:
% 262.36/205.92 | (65) ~ (e4 = e1)
% 262.36/205.92 |
% 262.36/205.92 | Equations (1005) can reduce 647 to:
% 262.36/205.92 | (1002) ~ (e2 = e1)
% 262.36/205.92 |
% 262.36/205.92 | Simplifying 1002 yields:
% 262.36/205.92 | (329) ~ (e2 = e1)
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (1656), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (950) all_0_25_25 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (950) can reduce 946 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (946) ~ (all_0_25_25 = e1)
% 262.36/205.92 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (1373), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (1498) all_0_17_17 = e1
% 262.36/205.92 |
% 262.36/205.92 | Combining equations (1498,865) yields a new equation:
% 262.36/205.92 | (480) e4 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (480) can reduce 65 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (1501) ~ (all_0_17_17 = e1)
% 262.36/205.92 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (865) can reduce 1501 to:
% 262.36/205.92 | (65) ~ (e4 = e1)
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (1676), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (787) all_0_30_30 = e1
% 262.36/205.92 |
% 262.36/205.92 | Combining equations (747,787) yields a new equation:
% 262.36/205.92 | (717) e2 = e1
% 262.36/205.92 |
% 262.36/205.92 | Simplifying 717 yields:
% 262.36/205.92 | (718) e2 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (718) can reduce 329 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (422) ~ (all_0_30_30 = e1)
% 262.36/205.92 | (1196) all_0_35_35 = e1
% 262.36/205.92 |
% 262.36/205.92 | Combining equations (1161,1196) yields a new equation:
% 262.36/205.92 | (955) e4 = e1
% 262.36/205.92 |
% 262.36/205.92 | Simplifying 955 yields:
% 262.36/205.92 | (480) e4 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (480) can reduce 65 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (1008) ~ (all_0_26_26 = e1)
% 262.36/205.92 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (1009), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (1010) all_0_31_31 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (1010) can reduce 423 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (423) ~ (all_0_31_31 = e1)
% 262.36/205.92 | (1015) all_0_36_36 = e1
% 262.36/205.92 |
% 262.36/205.92 | Equations (1015) can reduce 1593 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (869) ~ (all_0_17_17 = e4)
% 262.36/205.92 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (870), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (887) all_0_18_18 = e4
% 262.36/205.92 |
% 262.36/205.92 | Equations (887) can reduce 1046 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (1046) ~ (all_0_18_18 = e4)
% 262.36/205.92 | (711) all_0_19_19 = e4
% 262.36/205.92 |
% 262.36/205.92 | Combining equations (711,663) yields a new equation:
% 262.36/205.92 | (1111) e4 = e2
% 262.36/205.92 |
% 262.36/205.92 | Simplifying 1111 yields:
% 262.36/205.92 | (539) e4 = e2
% 262.36/205.92 |
% 262.36/205.92 | Equations (539) can reduce 19 to:
% 262.36/205.92 | (366) $false
% 262.36/205.92 |
% 262.36/205.92 |-The branch is then unsatisfiable
% 262.36/205.92 |-Branch two:
% 262.36/205.92 | (1031) ~ (all_0_34_34 = e3)
% 262.36/205.92 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 262.36/205.92 |
% 262.36/205.92 +-Applying beta-rule and splitting (1709), into two cases.
% 262.36/205.92 |-Branch one:
% 262.36/205.92 | (1110) all_0_34_34 = e2
% 262.36/205.93 |
% 262.36/205.93 | Equations (1110) can reduce 672 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (672) ~ (all_0_34_34 = e2)
% 262.36/205.93 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (1713), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (954) all_0_34_34 = e1
% 262.36/205.93 |
% 262.36/205.93 | Equations (954) can reduce 426 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (426) ~ (all_0_34_34 = e1)
% 262.36/205.93 | (1717) all_0_34_34 = e0
% 262.36/205.93 |
% 262.36/205.93 | Equations (1717) can reduce 384 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (943) ~ (all_0_24_24 = e1)
% 262.36/205.93 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (944), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (945) all_0_29_29 = e1
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (1250,945) yields a new equation:
% 262.36/205.93 | (955) e4 = e1
% 262.36/205.93 |
% 262.36/205.93 | Simplifying 955 yields:
% 262.36/205.93 | (480) e4 = e1
% 262.36/205.93 |
% 262.36/205.93 | Equations (480) can reduce 65 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (952) ~ (all_0_29_29 = e1)
% 262.36/205.93 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (953), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (954) all_0_34_34 = e1
% 262.36/205.93 |
% 262.36/205.93 | Equations (954) can reduce 426 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (426) ~ (all_0_34_34 = e1)
% 262.36/205.93 | (377) all_0_39_39 = e1
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (377,380) yields a new equation:
% 262.36/205.93 | (960) e1 = e0
% 262.36/205.93 |
% 262.36/205.93 | Simplifying 960 yields:
% 262.36/205.93 | (961) e1 = e0
% 262.36/205.93 |
% 262.36/205.93 | Equations (961) can reduce 37 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (724) ~ (all_0_29_29 = e4)
% 262.36/205.93 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (1735), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (723) all_0_34_34 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (723) can reduce 1395 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (1395) ~ (all_0_34_34 = e4)
% 262.36/205.93 | (365) all_0_39_39 = e4
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (380,365) yields a new equation:
% 262.36/205.93 | (490) e4 = e0
% 262.36/205.93 |
% 262.36/205.93 | Equations (490) can reduce 287 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (1742) all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10))
% 262.36/205.93 |
% 262.36/205.93 | Applying alpha-rule on (1742) yields:
% 262.36/205.93 | (680) all_0_11_11 = all_0_16_16
% 262.36/205.93 | (1744) ( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)
% 262.36/205.93 |
% 262.36/205.93 | Instantiating formula (97) with e2, e2, e4, e2 and discharging atoms op(e2, e2) = e2, yields:
% 262.36/205.93 | (1745) e4 = e2 | ~ (op(e2, e2) = e4)
% 262.36/205.93 |
% 262.36/205.93 | Instantiating formula (97) with e1, e2, e4, all_0_32_32 and discharging atoms op(e1, e2) = all_0_32_32, yields:
% 262.36/205.93 | (683) all_0_32_32 = e4 | ~ (op(e1, e2) = e4)
% 262.36/205.93 |
% 262.36/205.93 | Instantiating formula (97) with e2, e4, e0, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 262.36/205.93 | (1747) all_0_25_25 = e0 | ~ (op(e2, e4) = e0)
% 262.36/205.93 |
% 262.36/205.93 | Instantiating formula (97) with e2, e1, e0, all_0_28_28 and discharging atoms op(e2, e1) = all_0_28_28, yields:
% 262.36/205.93 | (1748) all_0_28_28 = e0 | ~ (op(e2, e1) = e0)
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (154), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (685) all_0_24_24 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (685) can reduce 580 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (580) ~ (all_0_24_24 = e4)
% 262.36/205.93 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (309), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (1274) all_0_18_18 = e2
% 262.36/205.93 |
% 262.36/205.93 | Equations (1274) can reduce 666 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (666) ~ (all_0_18_18 = e2)
% 262.36/205.93 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (166), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (464) all_0_15_15 = e4
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (464,468) yields a new equation:
% 262.36/205.93 | (690) e4 = e3
% 262.36/205.93 |
% 262.36/205.93 | Simplifying 690 yields:
% 262.36/205.93 | (691) e4 = e3
% 262.36/205.93 |
% 262.36/205.93 | Equations (691) can reduce 277 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (460) ~ (all_0_15_15 = e4)
% 262.36/205.93 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (468) can reduce 460 to:
% 262.36/205.93 | (695) ~ (e4 = e3)
% 262.36/205.93 |
% 262.36/205.93 | Simplifying 695 yields:
% 262.36/205.93 | (277) ~ (e4 = e3)
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (340), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (697) all_0_16_16 = e2
% 262.36/205.93 |
% 262.36/205.93 | Equations (697) can reduce 664 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (664) ~ (all_0_16_16 = e2)
% 262.36/205.93 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (270), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (701) all_0_16_16 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (701) can reduce 573 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (573) ~ (all_0_16_16 = e4)
% 262.36/205.93 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (323), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (476) all_0_15_15 = e1
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (476,468) yields a new equation:
% 262.36/205.93 | (706) e3 = e1
% 262.36/205.93 |
% 262.36/205.93 | Equations (706) can reduce 318 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (482) ~ (all_0_15_15 = e1)
% 262.36/205.93 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 262.36/205.93 |
% 262.36/205.93 | Equations (468) can reduce 482 to:
% 262.36/205.93 | (318) ~ (e3 = e1)
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (242), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (711) all_0_19_19 = e4
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (663,711) yields a new equation:
% 262.36/205.93 | (539) e4 = e2
% 262.36/205.93 |
% 262.36/205.93 | Equations (539) can reduce 19 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (714) ~ (all_0_19_19 = e4)
% 262.36/205.93 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (32), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (716) all_0_19_19 = e1
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (663,716) yields a new equation:
% 262.36/205.93 | (717) e2 = e1
% 262.36/205.93 |
% 262.36/205.93 | Simplifying 717 yields:
% 262.36/205.93 | (718) e2 = e1
% 262.36/205.93 |
% 262.36/205.93 | Equations (718) can reduce 329 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (720) ~ (all_0_19_19 = e1)
% 262.36/205.93 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 262.36/205.93 |
% 262.36/205.93 | Equations (663) can reduce 720 to:
% 262.36/205.93 | (329) ~ (e2 = e1)
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (83), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (723) all_0_34_34 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (723) can reduce 15 to:
% 262.36/205.93 | (509) ~ (all_0_30_30 = e4)
% 262.36/205.93 |
% 262.36/205.93 | Equations (723) can reduce 199 to:
% 262.36/205.93 | (727) ~ (all_0_32_32 = e4)
% 262.36/205.93 |
% 262.36/205.93 | From (723) and (181) follows:
% 262.36/205.93 | (730) op(e4, all_0_38_38) = e0
% 262.36/205.93 |
% 262.36/205.93 | Instantiating formula (97) with e4, e2, e0, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 262.36/205.93 | (735) all_0_17_17 = e0 | ~ (op(e4, e2) = e0)
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (8), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (464) all_0_15_15 = e4
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (464,468) yields a new equation:
% 262.36/205.93 | (690) e4 = e3
% 262.36/205.93 |
% 262.36/205.93 | Simplifying 690 yields:
% 262.36/205.93 | (691) e4 = e3
% 262.36/205.93 |
% 262.36/205.93 | Equations (691) can reduce 277 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (460) ~ (all_0_15_15 = e4)
% 262.36/205.93 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (26), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (887) all_0_18_18 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (887) can reduce 9 to:
% 262.36/205.93 | (573) ~ (all_0_16_16 = e4)
% 262.36/205.93 |
% 262.36/205.93 | Equations (887) can reduce 74 to:
% 262.36/205.93 | (869) ~ (all_0_17_17 = e4)
% 262.36/205.93 |
% 262.36/205.93 | Equations (887) can reduce 666 to:
% 262.36/205.93 | (19) ~ (e4 = e2)
% 262.36/205.93 |
% 262.36/205.93 | Equations (887) can reduce 419 to:
% 262.36/205.93 | (65) ~ (e4 = e1)
% 262.36/205.93 |
% 262.36/205.93 | From (887) and (61) follows:
% 262.36/205.93 | (1807) op(e4, e1) = e4
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (59), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (865) all_0_17_17 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (865) can reduce 869 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (869) ~ (all_0_17_17 = e4)
% 262.36/205.93 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (1148), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (831) all_0_22_22 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (831) can reduce 576 to:
% 262.36/205.93 | (366) $false
% 262.36/205.93 |
% 262.36/205.93 |-The branch is then unsatisfiable
% 262.36/205.93 |-Branch two:
% 262.36/205.93 | (576) ~ (all_0_22_22 = e4)
% 262.36/205.93 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (285), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (1158) all_0_25_25 = e4
% 262.36/205.93 |
% 262.36/205.93 | Equations (1158) can reduce 566 to:
% 262.36/205.93 | (277) ~ (e4 = e3)
% 262.36/205.93 |
% 262.36/205.93 | Equations (1158) can reduce 646 to:
% 262.36/205.93 | (19) ~ (e4 = e2)
% 262.36/205.93 |
% 262.36/205.93 | From (1158) and (57) follows:
% 262.36/205.93 | (1819) op(all_0_17_17, e4) = e2
% 262.36/205.93 |
% 262.36/205.93 | From (1158) and (49) follows:
% 262.36/205.93 | (1820) op(e4, all_0_17_17) = e4
% 262.36/205.93 |
% 262.36/205.93 +-Applying beta-rule and splitting (1152), into two cases.
% 262.36/205.93 |-Branch one:
% 262.36/205.93 | (435) all_0_27_27 = e4
% 262.36/205.93 |
% 262.36/205.93 | Combining equations (443,435) yields a new equation:
% 262.36/205.94 | (539) e4 = e2
% 262.36/205.94 |
% 262.36/205.94 | Equations (539) can reduce 19 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (404) ~ (all_0_27_27 = e4)
% 262.36/205.94 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1222), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1229) all_0_32_32 = e4
% 262.36/205.94 |
% 262.36/205.94 | Equations (1229) can reduce 727 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (727) ~ (all_0_32_32 = e4)
% 262.36/205.94 | (1232) all_0_37_37 = e4
% 262.36/205.94 |
% 262.36/205.94 | Equations (1232) can reduce 132 to:
% 262.36/205.94 | (869) ~ (all_0_17_17 = e4)
% 262.36/205.94 |
% 262.36/205.94 | Equations (1232) can reduce 202 to:
% 262.36/205.94 | (576) ~ (all_0_22_22 = e4)
% 262.36/205.94 |
% 262.36/205.94 | Equations (1232) can reduce 336 to:
% 262.36/205.94 | (727) ~ (all_0_32_32 = e4)
% 262.36/205.94 |
% 262.36/205.94 | Equations (1232) can reduce 121 to:
% 262.36/205.94 | (514) ~ (all_0_35_35 = e4)
% 262.36/205.94 |
% 262.36/205.94 | Equations (1232) can reduce 354 to:
% 262.36/205.94 | (1142) ~ (all_0_38_38 = e4)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 1142 yields:
% 262.36/205.94 | (1143) ~ (all_0_38_38 = e4)
% 262.36/205.94 |
% 262.36/205.94 | Equations (1232) can reduce 515 to:
% 262.36/205.94 | (19) ~ (e4 = e2)
% 262.36/205.94 |
% 262.36/205.94 | From (1232) and (310) follows:
% 262.36/205.94 | (1837) op(e4, all_0_29_29) = e2
% 262.36/205.94 |
% 262.36/205.94 | Instantiating formula (97) with e1, e4, e2, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 262.36/205.94 | (1422) all_0_30_30 = e2 | ~ (op(e1, e4) = e2)
% 262.36/205.94 |
% 262.36/205.94 | Instantiating formula (97) with e4, e0, e4, e2 and discharging atoms op(e4, e0) = e2, yields:
% 262.36/205.94 | (1839) e4 = e2 | ~ (op(e4, e0) = e4)
% 262.36/205.94 |
% 262.36/205.94 | Instantiating formula (97) with e4, e1, e4, e2 and discharging atoms op(e4, e1) = e4, yields:
% 262.36/205.94 | (1840) e4 = e2 | ~ (op(e4, e1) = e2)
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (17), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1498) all_0_17_17 = e1
% 262.36/205.94 |
% 262.36/205.94 | Equations (1498) can reduce 169 to:
% 262.36/205.94 | (985) ~ (all_0_16_16 = e1)
% 262.36/205.94 |
% 262.36/205.94 | From (1498) and (1819) follows:
% 262.36/205.94 | (1594) op(e1, e4) = e2
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (704), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1287) all_0_16_16 = e3
% 262.36/205.94 |
% 262.36/205.94 | Equations (1287) can reduce 458 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (458) ~ (all_0_16_16 = e3)
% 262.36/205.94 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1290), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (697) all_0_16_16 = e2
% 262.36/205.94 |
% 262.36/205.94 | Equations (697) can reduce 664 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (664) ~ (all_0_16_16 = e2)
% 262.36/205.94 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1377), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (921) all_0_16_16 = e1
% 262.36/205.94 |
% 262.36/205.94 | Equations (921) can reduce 985 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (985) ~ (all_0_16_16 = e1)
% 262.36/205.94 | (873) all_0_16_16 = e0
% 262.36/205.94 |
% 262.36/205.94 | Equations (873) can reduce 10 to:
% 262.36/205.94 | (1856) ~ (all_0_31_31 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 1856 yields:
% 262.36/205.94 | (1064) ~ (all_0_31_31 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Equations (873) can reduce 573 to:
% 262.36/205.94 | (389) ~ (e4 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 389 yields:
% 262.36/205.94 | (287) ~ (e4 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Equations (873) can reduce 458 to:
% 262.36/205.94 | (391) ~ (e3 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 391 yields:
% 262.36/205.94 | (88) ~ (e3 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Equations (873) can reduce 664 to:
% 262.36/205.94 | (393) ~ (e2 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 393 yields:
% 262.36/205.94 | (347) ~ (e2 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Equations (873) can reduce 985 to:
% 262.36/205.94 | (395) ~ (e1 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 395 yields:
% 262.36/205.94 | (37) ~ (e1 = e0)
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1422), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1604) ~ (op(e1, e4) = e2)
% 262.36/205.94 |
% 262.36/205.94 | Using (1594) and (1604) yields:
% 262.36/205.94 | (821) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (1594) op(e1, e4) = e2
% 262.36/205.94 | (747) all_0_30_30 = e2
% 262.36/205.94 |
% 262.36/205.94 | Equations (747) can reduce 186 to:
% 262.36/205.94 | (652) ~ (all_0_32_32 = e2)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 652 yields:
% 262.36/205.94 | (508) ~ (all_0_32_32 = e2)
% 262.36/205.94 |
% 262.36/205.94 | Equations (747) can reduce 96 to:
% 262.36/205.94 | (741) ~ (all_0_35_35 = e2)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 741 yields:
% 262.36/205.94 | (742) ~ (all_0_35_35 = e2)
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (127), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (790) all_0_30_30 = e0
% 262.36/205.94 |
% 262.36/205.94 | Combining equations (747,790) yields a new equation:
% 262.36/205.94 | (836) e2 = e0
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 836 yields:
% 262.36/205.94 | (551) e2 = e0
% 262.36/205.94 |
% 262.36/205.94 | Equations (551) can reduce 347 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (1878) ~ (all_0_30_30 = e0)
% 262.36/205.94 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1879), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1060) all_0_31_31 = e0
% 262.36/205.94 |
% 262.36/205.94 | Equations (1060) can reduce 1064 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (1064) ~ (all_0_31_31 = e0)
% 262.36/205.94 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (206), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (483) all_0_15_15 = e0
% 262.36/205.94 |
% 262.36/205.94 | Combining equations (468,483) yields a new equation:
% 262.36/205.94 | (979) e3 = e0
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 979 yields:
% 262.36/205.94 | (980) e3 = e0
% 262.36/205.94 |
% 262.36/205.94 | Equations (980) can reduce 88 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (463) ~ (all_0_15_15 = e0)
% 262.36/205.94 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (122), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1161) all_0_35_35 = e4
% 262.36/205.94 |
% 262.36/205.94 | Equations (1161) can reduce 514 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (514) ~ (all_0_35_35 = e4)
% 262.36/205.94 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1889), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (835) all_0_20_20 = e0
% 262.36/205.94 |
% 262.36/205.94 | Equations (835) can reduce 249 to:
% 262.36/205.94 | (1895) ~ (all_0_35_35 = e0)
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 1895 yields:
% 262.36/205.94 | (385) ~ (all_0_35_35 = e0)
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1181), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (814) all_0_35_35 = e3
% 262.36/205.94 |
% 262.36/205.94 | Equations (814) can reduce 570 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (570) ~ (all_0_35_35 = e3)
% 262.36/205.94 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1185), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (797) all_0_35_35 = e2
% 262.36/205.94 |
% 262.36/205.94 | Equations (797) can reduce 742 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (742) ~ (all_0_35_35 = e2)
% 262.36/205.94 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1195), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1196) all_0_35_35 = e1
% 262.36/205.94 |
% 262.36/205.94 | From (1196) and (677) follows:
% 262.36/205.94 | (1552) op(e1, e2) = e4
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (261), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1229) all_0_32_32 = e4
% 262.36/205.94 |
% 262.36/205.94 | Equations (1229) can reduce 727 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (727) ~ (all_0_32_32 = e4)
% 262.36/205.94 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (683), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1553) ~ (op(e1, e2) = e4)
% 262.36/205.94 |
% 262.36/205.94 | Using (1552) and (1553) yields:
% 262.36/205.94 | (821) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (1552) op(e1, e2) = e4
% 262.36/205.94 | (1229) all_0_32_32 = e4
% 262.36/205.94 |
% 262.36/205.94 | Equations (1229) can reduce 727 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (1177) ~ (all_0_35_35 = e1)
% 262.36/205.94 | (1203) all_0_35_35 = e0
% 262.36/205.94 |
% 262.36/205.94 | Equations (1203) can reduce 385 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (839) ~ (all_0_20_20 = e0)
% 262.36/205.94 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (241), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1921) all_0_25_25 = e0
% 262.36/205.94 |
% 262.36/205.94 | Combining equations (1158,1921) yields a new equation:
% 262.36/205.94 | (842) e4 = e0
% 262.36/205.94 |
% 262.36/205.94 | Simplifying 842 yields:
% 262.36/205.94 | (490) e4 = e0
% 262.36/205.94 |
% 262.36/205.94 | Equations (490) can reduce 287 to:
% 262.36/205.94 | (366) $false
% 262.36/205.94 |
% 262.36/205.94 |-The branch is then unsatisfiable
% 262.36/205.94 |-Branch two:
% 262.36/205.94 | (1925) ~ (all_0_25_25 = e0)
% 262.36/205.94 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 262.36/205.94 |
% 262.36/205.94 | Equations (1158) can reduce 1925 to:
% 262.36/205.94 | (287) ~ (e4 = e0)
% 262.36/205.94 |
% 262.36/205.94 +-Applying beta-rule and splitting (1883), into two cases.
% 262.36/205.94 |-Branch one:
% 262.36/205.94 | (1626) all_0_32_32 = e0
% 262.36/205.94 |
% 262.36/205.95 | Equations (1626) can reduce 727 to:
% 262.36/205.95 | (389) ~ (e4 = e0)
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 389 yields:
% 262.36/205.95 | (287) ~ (e4 = e0)
% 262.36/205.95 |
% 262.36/205.95 | Equations (1626) can reduce 508 to:
% 262.36/205.95 | (393) ~ (e2 = e0)
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 393 yields:
% 262.36/205.95 | (347) ~ (e2 = e0)
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1920), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1921) all_0_25_25 = e0
% 262.36/205.95 |
% 262.36/205.95 | Combining equations (1158,1921) yields a new equation:
% 262.36/205.95 | (842) e4 = e0
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 842 yields:
% 262.36/205.95 | (490) e4 = e0
% 262.36/205.95 |
% 262.36/205.95 | Equations (490) can reduce 287 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (1925) ~ (all_0_25_25 = e0)
% 262.36/205.95 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1938), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (790) all_0_30_30 = e0
% 262.36/205.95 |
% 262.36/205.95 | Combining equations (747,790) yields a new equation:
% 262.36/205.95 | (836) e2 = e0
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 836 yields:
% 262.36/205.95 | (551) e2 = e0
% 262.36/205.95 |
% 262.36/205.95 | Equations (551) can reduce 347 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (1878) ~ (all_0_30_30 = e0)
% 262.36/205.95 | (1203) all_0_35_35 = e0
% 262.36/205.95 |
% 262.36/205.95 | Equations (1203) can reduce 385 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (1946) ~ (all_0_32_32 = e0)
% 262.36/205.95 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1947), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1254) all_0_33_33 = e0
% 262.36/205.95 |
% 262.36/205.95 | Combining equations (418,1254) yields a new equation:
% 262.36/205.95 | (960) e1 = e0
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 960 yields:
% 262.36/205.95 | (961) e1 = e0
% 262.36/205.95 |
% 262.36/205.95 | Equations (961) can reduce 37 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (399) ~ (all_0_33_33 = e0)
% 262.36/205.95 | (1717) all_0_34_34 = e0
% 262.36/205.95 |
% 262.36/205.95 | Combining equations (1717,723) yields a new equation:
% 262.36/205.95 | (490) e4 = e0
% 262.36/205.95 |
% 262.36/205.95 | Equations (490) can reduce 287 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (1501) ~ (all_0_17_17 = e1)
% 262.36/205.95 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (240), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (865) all_0_17_17 = e4
% 262.36/205.95 |
% 262.36/205.95 | Equations (865) can reduce 869 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (869) ~ (all_0_17_17 = e4)
% 262.36/205.95 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1502), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (999) all_0_22_22 = e1
% 262.36/205.95 |
% 262.36/205.95 | Equations (999) can reduce 184 to:
% 262.36/205.95 | (1501) ~ (all_0_17_17 = e1)
% 262.36/205.95 |
% 262.36/205.95 | Equations (999) can reduce 268 to:
% 262.36/205.95 | (1964) ~ (all_0_24_24 = e1)
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 1964 yields:
% 262.36/205.95 | (943) ~ (all_0_24_24 = e1)
% 262.36/205.95 |
% 262.36/205.95 | Equations (999) can reduce 576 to:
% 262.36/205.95 | (477) ~ (e4 = e1)
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 477 yields:
% 262.36/205.95 | (65) ~ (e4 = e1)
% 262.36/205.95 |
% 262.36/205.95 | Equations (999) can reduce 493 to:
% 262.36/205.95 | (1002) ~ (e2 = e1)
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 1002 yields:
% 262.36/205.95 | (329) ~ (e2 = e1)
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (232), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1970) all_0_17_17 = e3
% 262.36/205.95 |
% 262.36/205.95 | Equations (1970) can reduce 558 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (558) ~ (all_0_17_17 = e3)
% 262.36/205.95 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (688), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (939) all_0_24_24 = e3
% 262.36/205.95 |
% 262.36/205.95 | Equations (939) can reduce 943 to:
% 262.36/205.95 | (318) ~ (e3 = e1)
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1961), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1970) all_0_17_17 = e3
% 262.36/205.95 |
% 262.36/205.95 | Equations (1970) can reduce 558 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (558) ~ (all_0_17_17 = e3)
% 262.36/205.95 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1979), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1980) all_0_17_17 = e2
% 262.36/205.95 |
% 262.36/205.95 | Equations (1980) can reduce 459 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (459) ~ (all_0_17_17 = e2)
% 262.36/205.95 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (29), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (476) all_0_15_15 = e1
% 262.36/205.95 |
% 262.36/205.95 | Combining equations (476,468) yields a new equation:
% 262.36/205.95 | (706) e3 = e1
% 262.36/205.95 |
% 262.36/205.95 | Equations (706) can reduce 318 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (482) ~ (all_0_15_15 = e1)
% 262.36/205.95 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 262.36/205.95 |
% 262.36/205.95 | Equations (468) can reduce 482 to:
% 262.36/205.95 | (318) ~ (e3 = e1)
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (721), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (940) all_0_24_24 = e1
% 262.36/205.95 |
% 262.36/205.95 | Combining equations (939,940) yields a new equation:
% 262.36/205.95 | (933) e3 = e1
% 262.36/205.95 |
% 262.36/205.95 | Simplifying 933 yields:
% 262.36/205.95 | (706) e3 = e1
% 262.36/205.95 |
% 262.36/205.95 | Equations (706) can reduce 318 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (943) ~ (all_0_24_24 = e1)
% 262.36/205.95 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (944), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (945) all_0_29_29 = e1
% 262.36/205.95 |
% 262.36/205.95 | From (945) and (1837) follows:
% 262.36/205.95 | (1997) op(e4, e1) = e2
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1840), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1998) ~ (op(e4, e1) = e2)
% 262.36/205.95 |
% 262.36/205.95 | Using (1997) and (1998) yields:
% 262.36/205.95 | (821) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (1997) op(e4, e1) = e2
% 262.36/205.95 | (539) e4 = e2
% 262.36/205.95 |
% 262.36/205.95 | Equations (539) can reduce 19 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (952) ~ (all_0_29_29 = e1)
% 262.36/205.95 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (126), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (950) all_0_25_25 = e1
% 262.36/205.95 |
% 262.36/205.95 | Combining equations (950,1158) yields a new equation:
% 262.36/205.95 | (480) e4 = e1
% 262.36/205.95 |
% 262.36/205.95 | Equations (480) can reduce 65 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (946) ~ (all_0_25_25 = e1)
% 262.36/205.95 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (2009), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1005) all_0_26_26 = e1
% 262.36/205.95 |
% 262.36/205.95 | Equations (1005) can reduce 139 to:
% 262.36/205.95 | (985) ~ (all_0_16_16 = e1)
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1983), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1498) all_0_17_17 = e1
% 262.36/205.95 |
% 262.36/205.95 | Equations (1498) can reduce 1501 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (1501) ~ (all_0_17_17 = e1)
% 262.36/205.95 | (823) all_0_17_17 = e0
% 262.36/205.95 |
% 262.36/205.95 | Equations (823) can reduce 169 to:
% 262.36/205.95 | (824) ~ (all_0_16_16 = e0)
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (704), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (1287) all_0_16_16 = e3
% 262.36/205.95 |
% 262.36/205.95 | Equations (1287) can reduce 458 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (458) ~ (all_0_16_16 = e3)
% 262.36/205.95 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1290), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (697) all_0_16_16 = e2
% 262.36/205.95 |
% 262.36/205.95 | Equations (697) can reduce 664 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (664) ~ (all_0_16_16 = e2)
% 262.36/205.95 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (279), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (873) all_0_16_16 = e0
% 262.36/205.95 |
% 262.36/205.95 | Equations (873) can reduce 824 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (824) ~ (all_0_16_16 = e0)
% 262.36/205.95 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 262.36/205.95 |
% 262.36/205.95 +-Applying beta-rule and splitting (1377), into two cases.
% 262.36/205.95 |-Branch one:
% 262.36/205.95 | (921) all_0_16_16 = e1
% 262.36/205.95 |
% 262.36/205.95 | Equations (921) can reduce 985 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.95 |-Branch two:
% 262.36/205.95 | (985) ~ (all_0_16_16 = e1)
% 262.36/205.95 | (873) all_0_16_16 = e0
% 262.36/205.95 |
% 262.36/205.95 | Equations (873) can reduce 824 to:
% 262.36/205.95 | (366) $false
% 262.36/205.95 |
% 262.36/205.95 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (1008) ~ (all_0_26_26 = e1)
% 262.36/205.96 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (2035), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (543) all_0_27_27 = e1
% 262.36/205.96 |
% 262.36/205.96 | Combining equations (443,543) yields a new equation:
% 262.36/205.96 | (717) e2 = e1
% 262.36/205.96 |
% 262.36/205.96 | Simplifying 717 yields:
% 262.36/205.96 | (718) e2 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (718) can reduce 329 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (402) ~ (all_0_27_27 = e1)
% 262.36/205.96 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (2041), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (1041) all_0_28_28 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (1041) can reduce 421 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (421) ~ (all_0_28_28 = e1)
% 262.36/205.96 | (945) all_0_29_29 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (945) can reduce 952 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (963) ~ (all_0_24_24 = e3)
% 262.36/205.96 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (125), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (903) all_0_20_20 = e3
% 262.36/205.96 |
% 262.36/205.96 | Equations (903) can reduce 564 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (564) ~ (all_0_20_20 = e3)
% 262.36/205.96 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (29), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (476) all_0_15_15 = e1
% 262.36/205.96 |
% 262.36/205.96 | Combining equations (476,468) yields a new equation:
% 262.36/205.96 | (706) e3 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (706) can reduce 318 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (482) ~ (all_0_15_15 = e1)
% 262.36/205.96 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (468) can reduce 482 to:
% 262.36/205.96 | (318) ~ (e3 = e1)
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (907), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (453) all_0_21_21 = e3
% 262.36/205.96 |
% 262.36/205.96 | Combining equations (453,449) yields a new equation:
% 262.36/205.96 | (691) e4 = e3
% 262.36/205.96 |
% 262.36/205.96 | Equations (691) can reduce 277 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (494) ~ (all_0_21_21 = e3)
% 262.36/205.96 | (973) all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (973), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (857) all_0_22_22 = e3
% 262.36/205.96 |
% 262.36/205.96 | Combining equations (999,857) yields a new equation:
% 262.36/205.96 | (706) e3 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (706) can reduce 318 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (774) ~ (all_0_22_22 = e3)
% 262.36/205.96 | (977) all_0_23_23 = e3 | all_0_24_24 = e3
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (977), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (978) all_0_23_23 = e3
% 262.36/205.96 |
% 262.36/205.96 | Equations (978) can reduce 39 to:
% 262.36/205.96 | (2070) ~ (all_0_38_38 = e3)
% 262.36/205.96 |
% 262.36/205.96 | Simplifying 2070 yields:
% 262.36/205.96 | (1080) ~ (all_0_38_38 = e3)
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (358), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (1165) all_0_38_38 = e4
% 262.36/205.96 |
% 262.36/205.96 | Equations (1165) can reduce 1143 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (1143) ~ (all_0_38_38 = e4)
% 262.36/205.96 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1168), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (1077) all_0_38_38 = e3
% 262.36/205.96 |
% 262.36/205.96 | Equations (1077) can reduce 1080 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (1080) ~ (all_0_38_38 = e3)
% 262.36/205.96 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1206), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (809) all_0_38_38 = e2
% 262.36/205.96 |
% 262.36/205.96 | Equations (809) can reduce 1143 to:
% 262.36/205.96 | (444) ~ (e4 = e2)
% 262.36/205.96 |
% 262.36/205.96 | Simplifying 444 yields:
% 262.36/205.96 | (19) ~ (e4 = e2)
% 262.36/205.96 |
% 262.36/205.96 | From (809) and (730) follows:
% 262.36/205.96 | (813) op(e4, e2) = e0
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (735), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (820) ~ (op(e4, e2) = e0)
% 262.36/205.96 |
% 262.36/205.96 | Using (813) and (820) yields:
% 262.36/205.96 | (821) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (813) op(e4, e2) = e0
% 262.36/205.96 | (823) all_0_17_17 = e0
% 262.36/205.96 |
% 262.36/205.96 | From (823) and (1820) follows:
% 262.36/205.96 | (2088) op(e4, e0) = e4
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1839), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (2089) ~ (op(e4, e0) = e4)
% 262.36/205.96 |
% 262.36/205.96 | Using (2088) and (2089) yields:
% 262.36/205.96 | (821) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (2088) op(e4, e0) = e4
% 262.36/205.96 | (539) e4 = e2
% 262.36/205.96 |
% 262.36/205.96 | Equations (539) can reduce 19 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (1084) ~ (all_0_38_38 = e2)
% 262.36/205.96 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1210), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (1211) all_0_38_38 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (1211) can reduce 428 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (428) ~ (all_0_38_38 = e1)
% 262.36/205.96 | (1214) all_0_38_38 = e0
% 262.36/205.96 |
% 262.36/205.96 | Equations (1214) can reduce 388 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (982) ~ (all_0_23_23 = e3)
% 262.36/205.96 | (939) all_0_24_24 = e3
% 262.36/205.96 |
% 262.36/205.96 | Equations (939) can reduce 963 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (1018) ~ (all_0_22_22 = e1)
% 262.36/205.96 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1566), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (543) all_0_27_27 = e1
% 262.36/205.96 |
% 262.36/205.96 | Combining equations (443,543) yields a new equation:
% 262.36/205.96 | (717) e2 = e1
% 262.36/205.96 |
% 262.36/205.96 | Simplifying 717 yields:
% 262.36/205.96 | (718) e2 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (718) can reduce 329 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (402) ~ (all_0_27_27 = e1)
% 262.36/205.96 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1586), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (1587) all_0_32_32 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (1587) can reduce 424 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (424) ~ (all_0_32_32 = e1)
% 262.36/205.96 | (1590) all_0_37_37 = e1
% 262.36/205.96 |
% 262.36/205.96 | Combining equations (1590,1232) yields a new equation:
% 262.36/205.96 | (480) e4 = e1
% 262.36/205.96 |
% 262.36/205.96 | Equations (480) can reduce 65 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (501) ~ (all_0_25_25 = e4)
% 262.36/205.96 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (914), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (1453) all_0_20_20 = e4
% 262.36/205.96 |
% 262.36/205.96 | Equations (1453) can reduce 496 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (496) ~ (all_0_20_20 = e4)
% 262.36/205.96 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1152), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (435) all_0_27_27 = e4
% 262.36/205.96 |
% 262.36/205.96 | Combining equations (443,435) yields a new equation:
% 262.36/205.96 | (539) e4 = e2
% 262.36/205.96 |
% 262.36/205.96 | Equations (539) can reduce 19 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (404) ~ (all_0_27_27 = e4)
% 262.36/205.96 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1222), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (1229) all_0_32_32 = e4
% 262.36/205.96 |
% 262.36/205.96 | Equations (1229) can reduce 727 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (727) ~ (all_0_32_32 = e4)
% 262.36/205.96 | (1232) all_0_37_37 = e4
% 262.36/205.96 |
% 262.36/205.96 | Equations (1232) can reduce 121 to:
% 262.36/205.96 | (514) ~ (all_0_35_35 = e4)
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1456), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (1158) all_0_25_25 = e4
% 262.36/205.96 |
% 262.36/205.96 | Equations (1158) can reduce 501 to:
% 262.36/205.96 | (366) $false
% 262.36/205.96 |
% 262.36/205.96 |-The branch is then unsatisfiable
% 262.36/205.96 |-Branch two:
% 262.36/205.96 | (501) ~ (all_0_25_25 = e4)
% 262.36/205.96 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 262.36/205.96 |
% 262.36/205.96 +-Applying beta-rule and splitting (1460), into two cases.
% 262.36/205.96 |-Branch one:
% 262.36/205.96 | (768) all_0_30_30 = e4
% 262.36/205.96 |
% 262.36/205.97 | Equations (768) can reduce 509 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (509) ~ (all_0_30_30 = e4)
% 262.36/205.97 | (1161) all_0_35_35 = e4
% 262.36/205.97 |
% 262.36/205.97 | Equations (1161) can reduce 514 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (1046) ~ (all_0_18_18 = e4)
% 262.36/205.97 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (1047), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (1134) all_0_18_18 = e3
% 262.36/205.97 |
% 262.36/205.97 | Equations (1134) can reduce 560 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (560) ~ (all_0_18_18 = e3)
% 262.36/205.97 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (1270), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (1274) all_0_18_18 = e2
% 262.36/205.97 |
% 262.36/205.97 | Equations (1274) can reduce 666 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (666) ~ (all_0_18_18 = e2)
% 262.36/205.97 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (1277), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (1278) all_0_18_18 = e1
% 262.36/205.97 |
% 262.36/205.97 | Equations (1278) can reduce 419 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (419) ~ (all_0_18_18 = e1)
% 262.36/205.97 | (1153) all_0_18_18 = e0
% 262.36/205.97 |
% 262.36/205.97 | Equations (1153) can reduce 9 to:
% 262.36/205.97 | (824) ~ (all_0_16_16 = e0)
% 262.36/205.97 |
% 262.36/205.97 | From (1153) and (61) follows:
% 262.36/205.97 | (2158) op(e4, e1) = e0
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (704), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (1287) all_0_16_16 = e3
% 262.36/205.97 |
% 262.36/205.97 | Equations (1287) can reduce 458 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (458) ~ (all_0_16_16 = e3)
% 262.36/205.97 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (1290), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (697) all_0_16_16 = e2
% 262.36/205.97 |
% 262.36/205.97 | Equations (697) can reduce 664 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (664) ~ (all_0_16_16 = e2)
% 262.36/205.97 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (1377), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (921) all_0_16_16 = e1
% 262.36/205.97 |
% 262.36/205.97 | Combining equations (921,680) yields a new equation:
% 262.36/205.97 | (1292) all_0_11_11 = e1
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (633), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (1294) all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)
% 262.36/205.97 |
% 262.36/205.97 | Applying alpha-rule on (1294) yields:
% 262.36/205.97 | (680) all_0_11_11 = all_0_16_16
% 262.36/205.97 | (985) ~ (all_0_16_16 = e1)
% 262.36/205.97 |
% 262.36/205.97 | Combining equations (680,1292) yields a new equation:
% 262.36/205.97 | (1297) all_0_16_16 = e1
% 262.36/205.97 |
% 262.36/205.97 | Simplifying 1297 yields:
% 262.36/205.97 | (921) all_0_16_16 = e1
% 262.36/205.97 |
% 262.36/205.97 | Equations (921) can reduce 985 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (1300) all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10))
% 262.36/205.97 |
% 262.36/205.97 | Applying alpha-rule on (1300) yields:
% 262.36/205.97 | (680) all_0_11_11 = all_0_16_16
% 262.36/205.97 | (1302) ( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)
% 262.36/205.97 |
% 262.36/205.97 | Combining equations (680,1292) yields a new equation:
% 262.36/205.97 | (1297) all_0_16_16 = e1
% 262.36/205.97 |
% 262.36/205.97 | Simplifying 1297 yields:
% 262.36/205.97 | (921) all_0_16_16 = e1
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (1744), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (2180) ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9
% 262.36/205.97 |
% 262.36/205.97 | Applying alpha-rule on (2180) yields:
% 262.36/205.97 | (2181) ~ (all_0_9_9 = e0)
% 262.36/205.97 | (2182) op(e4, all_0_16_16) = all_0_9_9
% 262.36/205.97 |
% 262.36/205.97 | From (921) and (2182) follows:
% 262.36/205.97 | (2183) op(e4, e1) = all_0_9_9
% 262.36/205.97 |
% 262.36/205.97 | Instantiating formula (97) with e4, e1, e0, all_0_9_9 and discharging atoms op(e4, e1) = all_0_9_9, op(e4, e1) = e0, yields:
% 262.36/205.97 | (2184) all_0_9_9 = e0
% 262.36/205.97 |
% 262.36/205.97 | Equations (2184) can reduce 2181 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (2186) ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10
% 262.36/205.97 |
% 262.36/205.97 | Applying alpha-rule on (2186) yields:
% 262.36/205.97 | (2187) ~ (all_0_10_10 = e1)
% 262.36/205.97 | (2188) op(all_0_16_16, all_0_16_16) = all_0_10_10
% 262.36/205.97 |
% 262.36/205.97 | From (921)(921) and (2188) follows:
% 262.36/205.97 | (2189) op(e1, e1) = all_0_10_10
% 262.36/205.97 |
% 262.36/205.97 | Instantiating formula (97) with e1, e1, all_0_10_10, e1 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = e1, yields:
% 262.36/205.97 | (2190) all_0_10_10 = e1
% 262.36/205.97 |
% 262.36/205.97 | Equations (2190) can reduce 2187 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (985) ~ (all_0_16_16 = e1)
% 262.36/205.97 | (873) all_0_16_16 = e0
% 262.36/205.97 |
% 262.36/205.97 | Equations (873) can reduce 824 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (1395) ~ (all_0_34_34 = e4)
% 262.36/205.97 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (715), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (685) all_0_24_24 = e4
% 262.36/205.97 |
% 262.36/205.97 | Equations (685) can reduce 580 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (580) ~ (all_0_24_24 = e4)
% 262.36/205.97 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (1400), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (1250) all_0_29_29 = e4
% 262.36/205.97 |
% 262.36/205.97 | Equations (1250) can reduce 85 to:
% 262.36/205.97 | (580) ~ (all_0_24_24 = e4)
% 262.36/205.97 |
% 262.36/205.97 | Equations (1250) can reduce 62 to:
% 262.36/205.97 | (501) ~ (all_0_25_25 = e4)
% 262.36/205.97 |
% 262.36/205.97 | Equations (1250) can reduce 38 to:
% 262.36/205.97 | (582) ~ (all_0_26_26 = e4)
% 262.36/205.97 |
% 262.36/205.97 | Equations (1250) can reduce 73 to:
% 262.36/205.97 | (890) ~ (all_0_28_28 = e4)
% 262.36/205.97 |
% 262.36/205.97 | Equations (1250) can reduce 41 to:
% 262.36/205.97 | (2206) ~ (all_0_34_34 = e4)
% 262.36/205.97 |
% 262.36/205.97 | Simplifying 2206 yields:
% 262.36/205.97 | (1395) ~ (all_0_34_34 = e4)
% 262.36/205.97 |
% 262.36/205.97 | Equations (1250) can reduce 651 to:
% 262.36/205.97 | (19) ~ (e4 = e2)
% 262.36/205.97 |
% 262.36/205.97 | Equations (1250) can reduce 383 to:
% 262.36/205.97 | (287) ~ (e4 = e0)
% 262.36/205.97 |
% 262.36/205.97 | From (1250) and (310) follows:
% 262.36/205.97 | (1407) op(all_0_37_37, e4) = e2
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (721), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (940) all_0_24_24 = e1
% 262.36/205.97 |
% 262.36/205.97 | Equations (940) can reduce 580 to:
% 262.36/205.97 | (477) ~ (e4 = e1)
% 262.36/205.97 |
% 262.36/205.97 | Simplifying 477 yields:
% 262.36/205.97 | (65) ~ (e4 = e1)
% 262.36/205.97 |
% 262.36/205.97 | Equations (940) can reduce 668 to:
% 262.36/205.97 | (1002) ~ (e2 = e1)
% 262.36/205.97 |
% 262.36/205.97 | Simplifying 1002 yields:
% 262.36/205.97 | (329) ~ (e2 = e1)
% 262.36/205.97 |
% 262.36/205.97 | Equations (940) can reduce 382 to:
% 262.36/205.97 | (37) ~ (e1 = e0)
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (230), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (927) all_0_19_19 = e3
% 262.36/205.97 |
% 262.36/205.97 | Combining equations (663,927) yields a new equation:
% 262.36/205.97 | (764) e3 = e2
% 262.36/205.97 |
% 262.36/205.97 | Equations (764) can reduce 56 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (562) ~ (all_0_19_19 = e3)
% 262.36/205.97 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (931), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (939) all_0_24_24 = e3
% 262.36/205.97 |
% 262.36/205.97 | Combining equations (940,939) yields a new equation:
% 262.36/205.97 | (706) e3 = e1
% 262.36/205.97 |
% 262.36/205.97 | Equations (706) can reduce 318 to:
% 262.36/205.97 | (366) $false
% 262.36/205.97 |
% 262.36/205.97 |-The branch is then unsatisfiable
% 262.36/205.97 |-Branch two:
% 262.36/205.97 | (963) ~ (all_0_24_24 = e3)
% 262.36/205.97 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 262.36/205.97 |
% 262.36/205.97 +-Applying beta-rule and splitting (1396), into two cases.
% 262.36/205.97 |-Branch one:
% 262.36/205.97 | (1027) all_0_34_34 = e3
% 262.36/205.97 |
% 262.36/205.97 | Equations (1027) can reduce 188 to:
% 262.36/205.97 | (510) ~ (all_0_31_31 = e3)
% 262.36/205.97 |
% 262.36/205.97 | Equations (1027) can reduce 1395 to:
% 262.36/205.97 | (695) ~ (e4 = e3)
% 262.36/205.97 |
% 262.36/205.97 | Simplifying 695 yields:
% 262.36/205.97 | (277) ~ (e4 = e3)
% 262.36/205.97 |
% 262.36/205.97 | Equations (1027) can reduce 672 to:
% 262.36/205.97 | (56) ~ (e3 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Equations (1027) can reduce 384 to:
% 262.36/205.98 | (88) ~ (e3 = e0)
% 262.36/205.98 |
% 262.36/205.98 | From (1027) and (312) follows:
% 262.36/205.98 | (2233) op(all_0_38_38, e3) = e1
% 262.36/205.98 |
% 262.36/205.98 | Instantiating formula (97) with e4, e4, e2, e3 and discharging atoms op(e4, e4) = e3, yields:
% 262.36/205.98 | (1305) e3 = e2 | ~ (op(e4, e4) = e2)
% 262.36/205.98 |
% 262.36/205.98 | Instantiating formula (97) with e4, e3, e1, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 262.36/205.98 | (2235) all_0_16_16 = e1 | ~ (op(e4, e3) = e1)
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (126), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (950) all_0_25_25 = e1
% 262.36/205.98 |
% 262.36/205.98 | Equations (950) can reduce 95 to:
% 262.36/205.98 | (1409) ~ (all_0_20_20 = e1)
% 262.36/205.98 |
% 262.36/205.98 | Equations (950) can reduce 98 to:
% 262.36/205.98 | (1176) ~ (all_0_35_35 = e1)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 1176 yields:
% 262.36/205.98 | (1177) ~ (all_0_35_35 = e1)
% 262.36/205.98 |
% 262.36/205.98 | Equations (950) can reduce 501 to:
% 262.36/205.98 | (477) ~ (e4 = e1)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 477 yields:
% 262.36/205.98 | (65) ~ (e4 = e1)
% 262.36/205.98 |
% 262.36/205.98 | Equations (950) can reduce 566 to:
% 262.36/205.98 | (429) ~ (e3 = e1)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 429 yields:
% 262.36/205.98 | (318) ~ (e3 = e1)
% 262.36/205.98 |
% 262.36/205.98 | From (950) and (57) follows:
% 262.36/205.98 | (2244) op(all_0_17_17, e1) = e2
% 262.36/205.98 |
% 262.36/205.98 | Instantiating formula (97) with e4, e1, e2, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 262.36/205.98 | (2245) all_0_18_18 = e2 | ~ (op(e4, e1) = e2)
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (241), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (1921) all_0_25_25 = e0
% 262.36/205.98 |
% 262.36/205.98 | Combining equations (950,1921) yields a new equation:
% 262.36/205.98 | (960) e1 = e0
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 960 yields:
% 262.36/205.98 | (961) e1 = e0
% 262.36/205.98 |
% 262.36/205.98 | Equations (961) can reduce 37 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (1925) ~ (all_0_25_25 = e0)
% 262.36/205.98 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 262.36/205.98 |
% 262.36/205.98 | Equations (950) can reduce 1925 to:
% 262.36/205.98 | (37) ~ (e1 = e0)
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (125), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (903) all_0_20_20 = e3
% 262.36/205.98 |
% 262.36/205.98 | Equations (903) can reduce 564 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (564) ~ (all_0_20_20 = e3)
% 262.36/205.98 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (36), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (887) all_0_18_18 = e4
% 262.36/205.98 |
% 262.36/205.98 | Equations (887) can reduce 110 to:
% 262.36/205.98 | (577) ~ (all_0_23_23 = e4)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 577 yields:
% 262.36/205.98 | (578) ~ (all_0_23_23 = e4)
% 262.36/205.98 |
% 262.36/205.98 | Equations (887) can reduce 560 to:
% 262.36/205.98 | (277) ~ (e4 = e3)
% 262.36/205.98 |
% 262.36/205.98 | Equations (887) can reduce 419 to:
% 262.36/205.98 | (65) ~ (e4 = e1)
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (122), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (1161) all_0_35_35 = e4
% 262.36/205.98 |
% 262.36/205.98 | From (1161) and (676) follows:
% 262.36/205.98 | (2263) op(e2, e4) = e0
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (1747), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (2264) ~ (op(e2, e4) = e0)
% 262.36/205.98 |
% 262.36/205.98 | Using (2263) and (2264) yields:
% 262.36/205.98 | (821) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (2263) op(e2, e4) = e0
% 262.36/205.98 | (1921) all_0_25_25 = e0
% 262.36/205.98 |
% 262.36/205.98 | Combining equations (950,1921) yields a new equation:
% 262.36/205.98 | (960) e1 = e0
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 960 yields:
% 262.36/205.98 | (961) e1 = e0
% 262.36/205.98 |
% 262.36/205.98 | Equations (961) can reduce 37 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (514) ~ (all_0_35_35 = e4)
% 262.36/205.98 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (1181), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (814) all_0_35_35 = e3
% 262.36/205.98 |
% 262.36/205.98 | Equations (814) can reduce 570 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (570) ~ (all_0_35_35 = e3)
% 262.36/205.98 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (1185), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (797) all_0_35_35 = e2
% 262.36/205.98 |
% 262.36/205.98 | Equations (797) can reduce 249 to:
% 262.36/205.98 | (1114) ~ (all_0_20_20 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Equations (797) can reduce 96 to:
% 262.36/205.98 | (740) ~ (all_0_30_30 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Equations (797) can reduce 273 to:
% 262.36/205.98 | (755) ~ (all_0_36_36 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 755 yields:
% 262.36/205.98 | (756) ~ (all_0_36_36 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Equations (797) can reduce 514 to:
% 262.36/205.98 | (444) ~ (e4 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 444 yields:
% 262.36/205.98 | (19) ~ (e4 = e2)
% 262.36/205.98 |
% 262.36/205.98 | From (797) and (677) follows:
% 262.36/205.98 | (538) op(e2, e2) = e4
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (700), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (522) all_0_21_21 = e2
% 262.36/205.98 |
% 262.36/205.98 | Combining equations (522,449) yields a new equation:
% 262.36/205.98 | (539) e4 = e2
% 262.36/205.98 |
% 262.36/205.98 | Equations (539) can reduce 19 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (361) ~ (all_0_21_21 = e2)
% 262.36/205.98 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (215), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (747) all_0_30_30 = e2
% 262.36/205.98 |
% 262.36/205.98 | Equations (747) can reduce 740 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (740) ~ (all_0_30_30 = e2)
% 262.36/205.98 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (51), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (736) all_0_20_20 = e2
% 262.36/205.98 |
% 262.36/205.98 | Equations (736) can reduce 1114 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (1114) ~ (all_0_20_20 = e2)
% 262.36/205.98 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (231), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (1453) all_0_20_20 = e4
% 262.36/205.98 |
% 262.36/205.98 | Equations (1453) can reduce 496 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (496) ~ (all_0_20_20 = e4)
% 262.36/205.98 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (2301), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (903) all_0_20_20 = e3
% 262.36/205.98 |
% 262.36/205.98 | Equations (903) can reduce 564 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (564) ~ (all_0_20_20 = e3)
% 262.36/205.98 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (2305), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (736) all_0_20_20 = e2
% 262.36/205.98 |
% 262.36/205.98 | Equations (736) can reduce 1114 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (1114) ~ (all_0_20_20 = e2)
% 262.36/205.98 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (750), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (751) all_0_31_31 = e2
% 262.36/205.98 |
% 262.36/205.98 | Equations (751) can reduce 217 to:
% 262.36/205.98 | (740) ~ (all_0_30_30 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Equations (751) can reduce 584 to:
% 262.36/205.98 | (444) ~ (e4 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 444 yields:
% 262.36/205.98 | (19) ~ (e4 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Equations (751) can reduce 423 to:
% 262.36/205.98 | (329) ~ (e2 = e1)
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (2309), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (1175) all_0_20_20 = e1
% 262.36/205.98 |
% 262.36/205.98 | Equations (1175) can reduce 1409 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (1409) ~ (all_0_20_20 = e1)
% 262.36/205.98 | (835) all_0_20_20 = e0
% 262.36/205.98 |
% 262.36/205.98 | Equations (835) can reduce 496 to:
% 262.36/205.98 | (389) ~ (e4 = e0)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 389 yields:
% 262.36/205.98 | (287) ~ (e4 = e0)
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (8), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (464) all_0_15_15 = e4
% 262.36/205.98 |
% 262.36/205.98 | Combining equations (468,464) yields a new equation:
% 262.36/205.98 | (691) e4 = e3
% 262.36/205.98 |
% 262.36/205.98 | Equations (691) can reduce 277 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (460) ~ (all_0_15_15 = e4)
% 262.36/205.98 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (165), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (1161) all_0_35_35 = e4
% 262.36/205.98 |
% 262.36/205.98 | Combining equations (797,1161) yields a new equation:
% 262.36/205.98 | (539) e4 = e2
% 262.36/205.98 |
% 262.36/205.98 | Equations (539) can reduce 19 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (514) ~ (all_0_35_35 = e4)
% 262.36/205.98 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 262.36/205.98 |
% 262.36/205.98 | Equations (797) can reduce 514 to:
% 262.36/205.98 | (444) ~ (e4 = e2)
% 262.36/205.98 |
% 262.36/205.98 | Simplifying 444 yields:
% 262.36/205.98 | (19) ~ (e4 = e2)
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (914), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (1453) all_0_20_20 = e4
% 262.36/205.98 |
% 262.36/205.98 | Combining equations (835,1453) yields a new equation:
% 262.36/205.98 | (490) e4 = e0
% 262.36/205.98 |
% 262.36/205.98 | Equations (490) can reduce 287 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (496) ~ (all_0_20_20 = e4)
% 262.36/205.98 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 262.36/205.98 |
% 262.36/205.98 +-Applying beta-rule and splitting (1456), into two cases.
% 262.36/205.98 |-Branch one:
% 262.36/205.98 | (1158) all_0_25_25 = e4
% 262.36/205.98 |
% 262.36/205.98 | Combining equations (950,1158) yields a new equation:
% 262.36/205.98 | (480) e4 = e1
% 262.36/205.98 |
% 262.36/205.98 | Equations (480) can reduce 65 to:
% 262.36/205.98 | (366) $false
% 262.36/205.98 |
% 262.36/205.98 |-The branch is then unsatisfiable
% 262.36/205.98 |-Branch two:
% 262.36/205.98 | (501) ~ (all_0_25_25 = e4)
% 262.36/205.99 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1460), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (768) all_0_30_30 = e4
% 262.36/205.99 |
% 262.36/205.99 | Equations (768) can reduce 740 to:
% 262.36/205.99 | (19) ~ (e4 = e2)
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1115), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (522) all_0_21_21 = e2
% 262.36/205.99 |
% 262.36/205.99 | Combining equations (449,522) yields a new equation:
% 262.36/205.99 | (1111) e4 = e2
% 262.36/205.99 |
% 262.36/205.99 | Simplifying 1111 yields:
% 262.36/205.99 | (539) e4 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (539) can reduce 19 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (361) ~ (all_0_21_21 = e2)
% 262.36/205.99 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1121), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (917) all_0_22_22 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (917) can reduce 493 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (493) ~ (all_0_22_22 = e2)
% 262.36/205.99 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (16), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (1196) all_0_35_35 = e1
% 262.36/205.99 |
% 262.36/205.99 | Combining equations (1196,797) yields a new equation:
% 262.36/205.99 | (718) e2 = e1
% 262.36/205.99 |
% 262.36/205.99 | Equations (718) can reduce 329 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (1177) ~ (all_0_35_35 = e1)
% 262.36/205.99 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 262.36/205.99 |
% 262.36/205.99 | Equations (797) can reduce 1177 to:
% 262.36/205.99 | (329) ~ (e2 = e1)
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1125), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (1126) all_0_23_23 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (1126) can reduce 578 to:
% 262.36/205.99 | (444) ~ (e4 = e2)
% 262.36/205.99 |
% 262.36/205.99 | Simplifying 444 yields:
% 262.36/205.99 | (19) ~ (e4 = e2)
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1745), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (2364) ~ (op(e2, e2) = e4)
% 262.36/205.99 |
% 262.36/205.99 | Using (538) and (2364) yields:
% 262.36/205.99 | (821) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (538) op(e2, e2) = e4
% 262.36/205.99 | (539) e4 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (539) can reduce 19 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (810) ~ (all_0_23_23 = e2)
% 262.36/205.99 | (1393) all_0_24_24 = e2
% 262.36/205.99 |
% 262.36/205.99 | Combining equations (1393,940) yields a new equation:
% 262.36/205.99 | (717) e2 = e1
% 262.36/205.99 |
% 262.36/205.99 | Simplifying 717 yields:
% 262.36/205.99 | (718) e2 = e1
% 262.36/205.99 |
% 262.36/205.99 | Equations (718) can reduce 329 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (509) ~ (all_0_30_30 = e4)
% 262.36/205.99 | (1161) all_0_35_35 = e4
% 262.36/205.99 |
% 262.36/205.99 | Combining equations (797,1161) yields a new equation:
% 262.36/205.99 | (539) e4 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (539) can reduce 19 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (1099) ~ (all_0_31_31 = e2)
% 262.36/205.99 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (2289), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (2380) all_0_26_26 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (2380) can reduce 647 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (647) ~ (all_0_26_26 = e2)
% 262.36/205.99 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (2383), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (751) all_0_31_31 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (751) can reduce 1099 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (1099) ~ (all_0_31_31 = e2)
% 262.36/205.99 | (801) all_0_36_36 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (801) can reduce 756 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (742) ~ (all_0_35_35 = e2)
% 262.36/205.99 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1195), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (1196) all_0_35_35 = e1
% 262.36/205.99 |
% 262.36/205.99 | Equations (1196) can reduce 1177 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (1177) ~ (all_0_35_35 = e1)
% 262.36/205.99 | (1203) all_0_35_35 = e0
% 262.36/205.99 |
% 262.36/205.99 | Equations (1203) can reduce 385 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (1046) ~ (all_0_18_18 = e4)
% 262.36/205.99 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (26), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (887) all_0_18_18 = e4
% 262.36/205.99 |
% 262.36/205.99 | Equations (887) can reduce 1046 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (1046) ~ (all_0_18_18 = e4)
% 262.36/205.99 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (694), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (701) all_0_16_16 = e4
% 262.36/205.99 |
% 262.36/205.99 | Equations (701) can reduce 573 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (573) ~ (all_0_16_16 = e4)
% 262.36/205.99 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1047), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (1134) all_0_18_18 = e3
% 262.36/205.99 |
% 262.36/205.99 | Equations (1134) can reduce 560 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (560) ~ (all_0_18_18 = e3)
% 262.36/205.99 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1051), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (1515) all_0_23_23 = e4
% 262.36/205.99 |
% 262.36/205.99 | Equations (1515) can reduce 578 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (578) ~ (all_0_23_23 = e4)
% 262.36/205.99 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1270), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (1274) all_0_18_18 = e2
% 262.36/205.99 |
% 262.36/205.99 | Equations (1274) can reduce 666 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (666) ~ (all_0_18_18 = e2)
% 262.36/205.99 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1277), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (1278) all_0_18_18 = e1
% 262.36/205.99 |
% 262.36/205.99 | Equations (1278) can reduce 419 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (419) ~ (all_0_18_18 = e1)
% 262.36/205.99 | (1153) all_0_18_18 = e0
% 262.36/205.99 |
% 262.36/205.99 | Equations (1153) can reduce 74 to:
% 262.36/205.99 | (2422) ~ (all_0_17_17 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Equations (1153) can reduce 300 to:
% 262.36/205.99 | (885) ~ (all_0_28_28 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Simplifying 885 yields:
% 262.36/205.99 | (886) ~ (all_0_28_28 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Equations (1153) can reduce 1046 to:
% 262.36/205.99 | (389) ~ (e4 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Simplifying 389 yields:
% 262.36/205.99 | (287) ~ (e4 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Equations (1153) can reduce 560 to:
% 262.36/205.99 | (391) ~ (e3 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Simplifying 391 yields:
% 262.36/205.99 | (88) ~ (e3 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Equations (1153) can reduce 666 to:
% 262.36/205.99 | (393) ~ (e2 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Simplifying 393 yields:
% 262.36/205.99 | (347) ~ (e2 = e0)
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (338), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (892) all_0_28_28 = e4
% 262.36/205.99 |
% 262.36/205.99 | Equations (892) can reduce 890 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (890) ~ (all_0_28_28 = e4)
% 262.36/205.99 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (1926), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (883) all_0_26_26 = e0
% 262.36/205.99 |
% 262.36/205.99 | Equations (883) can reduce 647 to:
% 262.36/205.99 | (393) ~ (e2 = e0)
% 262.36/205.99 |
% 262.36/205.99 | Simplifying 393 yields:
% 262.36/205.99 | (347) ~ (e2 = e0)
% 262.36/205.99 |
% 262.36/205.99 +-Applying beta-rule and splitting (168), into two cases.
% 262.36/205.99 |-Branch one:
% 262.36/205.99 | (2438) all_0_25_25 = e3
% 262.36/205.99 |
% 262.36/205.99 | Combining equations (950,2438) yields a new equation:
% 262.36/205.99 | (706) e3 = e1
% 262.36/205.99 |
% 262.36/205.99 | Equations (706) can reduce 318 to:
% 262.36/205.99 | (366) $false
% 262.36/205.99 |
% 262.36/205.99 |-The branch is then unsatisfiable
% 262.36/205.99 |-Branch two:
% 262.36/205.99 | (566) ~ (all_0_25_25 = e3)
% 262.36/205.99 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (2442), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (2443) all_0_26_26 = e3
% 262.36/206.00 |
% 262.36/206.00 | Combining equations (2443,883) yields a new equation:
% 262.36/206.00 | (979) e3 = e0
% 262.36/206.00 |
% 262.36/206.00 | Simplifying 979 yields:
% 262.36/206.00 | (980) e3 = e0
% 262.36/206.00 |
% 262.36/206.00 | Equations (980) can reduce 88 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (504) ~ (all_0_26_26 = e3)
% 262.36/206.00 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (2448), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (439) all_0_27_27 = e3
% 262.36/206.00 |
% 262.36/206.00 | Combining equations (443,439) yields a new equation:
% 262.36/206.00 | (764) e3 = e2
% 262.36/206.00 |
% 262.36/206.00 | Equations (764) can reduce 56 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (400) ~ (all_0_27_27 = e3)
% 262.36/206.00 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (2453), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (896) all_0_28_28 = e3
% 262.36/206.00 |
% 262.36/206.00 | Equations (896) can reduce 890 to:
% 262.36/206.00 | (695) ~ (e4 = e3)
% 262.36/206.00 |
% 262.36/206.00 | Simplifying 695 yields:
% 262.36/206.00 | (277) ~ (e4 = e3)
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (94), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (1287) all_0_16_16 = e3
% 262.36/206.00 |
% 262.36/206.00 | Equations (1287) can reduce 458 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (458) ~ (all_0_16_16 = e3)
% 262.36/206.00 | (2460) all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (2460), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (453) all_0_21_21 = e3
% 262.36/206.00 |
% 262.36/206.00 | Combining equations (449,453) yields a new equation:
% 262.36/206.00 | (690) e4 = e3
% 262.36/206.00 |
% 262.36/206.00 | Simplifying 690 yields:
% 262.36/206.00 | (691) e4 = e3
% 262.36/206.00 |
% 262.36/206.00 | Equations (691) can reduce 277 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (494) ~ (all_0_21_21 = e3)
% 262.36/206.00 | (2466) all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 262.36/206.00 |
% 262.36/206.00 | Equations (449) can reduce 494 to:
% 262.36/206.00 | (277) ~ (e4 = e3)
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (864), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (865) all_0_17_17 = e4
% 262.36/206.00 |
% 262.36/206.00 | From (865) and (2244) follows:
% 262.36/206.00 | (1997) op(e4, e1) = e2
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (2245), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (1998) ~ (op(e4, e1) = e2)
% 262.36/206.00 |
% 262.36/206.00 | Using (1997) and (1998) yields:
% 262.36/206.00 | (821) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (1997) op(e4, e1) = e2
% 262.36/206.00 | (1274) all_0_18_18 = e2
% 262.36/206.00 |
% 262.36/206.00 | Combining equations (1153,1274) yields a new equation:
% 262.36/206.00 | (551) e2 = e0
% 262.36/206.00 |
% 262.36/206.00 | Equations (551) can reduce 347 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (869) ~ (all_0_17_17 = e4)
% 262.36/206.00 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (240), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (865) all_0_17_17 = e4
% 262.36/206.00 |
% 262.36/206.00 | Equations (865) can reduce 869 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (869) ~ (all_0_17_17 = e4)
% 262.36/206.00 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (1518), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (892) all_0_28_28 = e4
% 262.36/206.00 |
% 262.36/206.00 | Combining equations (896,892) yields a new equation:
% 262.36/206.00 | (691) e4 = e3
% 262.36/206.00 |
% 262.36/206.00 | Equations (691) can reduce 277 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (890) ~ (all_0_28_28 = e4)
% 262.36/206.00 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (1522), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (406) all_0_33_33 = e4
% 262.36/206.00 |
% 262.36/206.00 | Combining equations (406,418) yields a new equation:
% 262.36/206.00 | (955) e4 = e1
% 262.36/206.00 |
% 262.36/206.00 | Simplifying 955 yields:
% 262.36/206.00 | (480) e4 = e1
% 262.36/206.00 |
% 262.36/206.00 | Equations (480) can reduce 65 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (405) ~ (all_0_33_33 = e4)
% 262.36/206.00 | (1165) all_0_38_38 = e4
% 262.36/206.00 |
% 262.36/206.00 | From (1165) and (2233) follows:
% 262.36/206.00 | (2493) op(e4, e3) = e1
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (1961), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (1970) all_0_17_17 = e3
% 262.36/206.00 |
% 262.36/206.00 | Equations (1970) can reduce 558 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (558) ~ (all_0_17_17 = e3)
% 262.36/206.00 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (2235), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (2498) ~ (op(e4, e3) = e1)
% 262.36/206.00 |
% 262.36/206.00 | Using (2493) and (2498) yields:
% 262.36/206.00 | (821) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (2493) op(e4, e3) = e1
% 262.36/206.00 | (921) all_0_16_16 = e1
% 262.36/206.00 |
% 262.36/206.00 | Equations (921) can reduce 169 to:
% 262.36/206.00 | (2502) ~ (all_0_17_17 = e1)
% 262.36/206.00 |
% 262.36/206.00 | Simplifying 2502 yields:
% 262.36/206.00 | (1501) ~ (all_0_17_17 = e1)
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (1979), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (1980) all_0_17_17 = e2
% 262.36/206.00 |
% 262.36/206.00 | Equations (1980) can reduce 459 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (459) ~ (all_0_17_17 = e2)
% 262.36/206.00 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (17), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (1498) all_0_17_17 = e1
% 262.36/206.00 |
% 262.36/206.00 | Equations (1498) can reduce 1501 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (1501) ~ (all_0_17_17 = e1)
% 262.36/206.00 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (222), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (823) all_0_17_17 = e0
% 262.36/206.00 |
% 262.36/206.00 | Equations (823) can reduce 2422 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (2422) ~ (all_0_17_17 = e0)
% 262.36/206.00 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 262.36/206.00 |
% 262.36/206.00 +-Applying beta-rule and splitting (1983), into two cases.
% 262.36/206.00 |-Branch one:
% 262.36/206.00 | (1498) all_0_17_17 = e1
% 262.36/206.00 |
% 262.36/206.00 | Equations (1498) can reduce 1501 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (1501) ~ (all_0_17_17 = e1)
% 262.36/206.00 | (823) all_0_17_17 = e0
% 262.36/206.00 |
% 262.36/206.00 | Equations (823) can reduce 2422 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (1035) ~ (all_0_28_28 = e3)
% 262.36/206.00 | (1023) all_0_29_29 = e3
% 262.36/206.00 |
% 262.36/206.00 | Combining equations (1250,1023) yields a new equation:
% 262.36/206.00 | (690) e4 = e3
% 262.36/206.00 |
% 262.36/206.00 | Simplifying 690 yields:
% 262.36/206.00 | (691) e4 = e3
% 262.36/206.00 |
% 262.36/206.00 | Equations (691) can reduce 277 to:
% 262.36/206.00 | (366) $false
% 262.36/206.00 |
% 262.36/206.00 |-The branch is then unsatisfiable
% 262.36/206.00 |-Branch two:
% 262.36/206.00 | (1058) ~ (all_0_26_26 = e0)
% 262.36/206.01 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 262.36/206.01 |
% 262.36/206.01 +-Applying beta-rule and splitting (2527), into two cases.
% 262.36/206.01 |-Branch one:
% 262.36/206.01 | (546) all_0_27_27 = e0
% 262.36/206.01 |
% 262.36/206.01 | Combining equations (443,546) yields a new equation:
% 262.36/206.01 | (836) e2 = e0
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 836 yields:
% 262.36/206.01 | (551) e2 = e0
% 262.36/206.01 |
% 262.36/206.01 | Equations (551) can reduce 347 to:
% 262.36/206.01 | (366) $false
% 262.36/206.01 |
% 262.36/206.01 |-The branch is then unsatisfiable
% 262.36/206.01 |-Branch two:
% 262.36/206.01 | (434) ~ (all_0_27_27 = e0)
% 262.36/206.01 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 262.36/206.01 |
% 262.36/206.01 +-Applying beta-rule and splitting (2533), into two cases.
% 262.36/206.01 |-Branch one:
% 262.36/206.01 | (1044) all_0_28_28 = e0
% 262.36/206.01 |
% 262.36/206.01 | Equations (1044) can reduce 886 to:
% 262.36/206.01 | (366) $false
% 262.36/206.01 |
% 262.36/206.01 |-The branch is then unsatisfiable
% 262.36/206.01 |-Branch two:
% 262.36/206.01 | (886) ~ (all_0_28_28 = e0)
% 262.36/206.01 | (2537) all_0_29_29 = e0
% 262.36/206.01 |
% 262.36/206.01 | Combining equations (1250,2537) yields a new equation:
% 262.36/206.01 | (842) e4 = e0
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 842 yields:
% 262.36/206.01 | (490) e4 = e0
% 262.36/206.01 |
% 262.36/206.01 | Equations (490) can reduce 287 to:
% 262.36/206.01 | (366) $false
% 262.36/206.01 |
% 262.36/206.01 |-The branch is then unsatisfiable
% 262.36/206.01 |-Branch two:
% 262.36/206.01 | (946) ~ (all_0_25_25 = e1)
% 262.36/206.01 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 262.36/206.01 |
% 262.36/206.01 +-Applying beta-rule and splitting (2009), into two cases.
% 262.36/206.01 |-Branch one:
% 262.36/206.01 | (1005) all_0_26_26 = e1
% 262.36/206.01 |
% 262.36/206.01 | Equations (1005) can reduce 139 to:
% 262.36/206.01 | (985) ~ (all_0_16_16 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Equations (1005) can reduce 145 to:
% 262.36/206.01 | (1613) ~ (all_0_31_31 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 1613 yields:
% 262.36/206.01 | (423) ~ (all_0_31_31 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Equations (1005) can reduce 170 to:
% 262.36/206.01 | (2547) ~ (all_0_36_36 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 2547 yields:
% 262.36/206.01 | (1593) ~ (all_0_36_36 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Equations (1005) can reduce 582 to:
% 262.36/206.01 | (477) ~ (e4 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 477 yields:
% 262.36/206.01 | (65) ~ (e4 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Equations (1005) can reduce 647 to:
% 262.36/206.01 | (1002) ~ (e2 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 1002 yields:
% 262.36/206.01 | (329) ~ (e2 = e1)
% 262.36/206.01 |
% 262.36/206.01 +-Applying beta-rule and splitting (709), into two cases.
% 262.36/206.01 |-Branch one:
% 262.36/206.01 | (921) all_0_16_16 = e1
% 262.36/206.01 |
% 262.36/206.01 | Equations (921) can reduce 985 to:
% 262.36/206.01 | (366) $false
% 262.36/206.01 |
% 262.36/206.01 |-The branch is then unsatisfiable
% 262.36/206.01 |-Branch two:
% 262.36/206.01 | (985) ~ (all_0_16_16 = e1)
% 262.36/206.01 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 262.36/206.01 |
% 262.36/206.01 +-Applying beta-rule and splitting (1373), into two cases.
% 262.36/206.01 |-Branch one:
% 262.36/206.01 | (1498) all_0_17_17 = e1
% 262.36/206.01 |
% 262.36/206.01 | Equations (1498) can reduce 169 to:
% 262.36/206.01 | (985) ~ (all_0_16_16 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Equations (1498) can reduce 74 to:
% 262.36/206.01 | (2559) ~ (all_0_18_18 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 2559 yields:
% 262.36/206.01 | (419) ~ (all_0_18_18 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Equations (1498) can reduce 132 to:
% 262.36/206.01 | (2561) ~ (all_0_37_37 = e1)
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 2561 yields:
% 262.36/206.01 | (2562) ~ (all_0_37_37 = e1)
% 262.36/206.01 |
% 262.36/206.01 +-Applying beta-rule and splitting (694), into two cases.
% 262.36/206.01 |-Branch one:
% 262.36/206.01 | (701) all_0_16_16 = e4
% 262.36/206.01 |
% 262.36/206.01 | Equations (701) can reduce 573 to:
% 262.36/206.01 | (366) $false
% 262.36/206.01 |
% 262.36/206.01 |-The branch is then unsatisfiable
% 262.36/206.01 |-Branch two:
% 262.36/206.01 | (573) ~ (all_0_16_16 = e4)
% 262.36/206.01 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 262.36/206.01 |
% 262.36/206.01 +-Applying beta-rule and splitting (864), into two cases.
% 262.36/206.01 |-Branch one:
% 262.36/206.01 | (865) all_0_17_17 = e4
% 262.36/206.01 |
% 262.36/206.01 | Combining equations (865,1498) yields a new equation:
% 262.36/206.01 | (955) e4 = e1
% 262.36/206.01 |
% 262.36/206.01 | Simplifying 955 yields:
% 262.36/206.01 | (480) e4 = e1
% 262.36/206.01 |
% 262.36/206.01 | Equations (480) can reduce 65 to:
% 262.36/206.01 | (366) $false
% 262.36/206.01 |
% 262.36/206.01 |-The branch is then unsatisfiable
% 262.36/206.01 |-Branch two:
% 262.36/206.01 | (869) ~ (all_0_17_17 = e4)
% 262.36/206.01 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (870), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (887) all_0_18_18 = e4
% 262.76/206.01 |
% 262.76/206.01 | Equations (887) can reduce 300 to:
% 262.76/206.01 | (889) ~ (all_0_28_28 = e4)
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 889 yields:
% 262.76/206.01 | (890) ~ (all_0_28_28 = e4)
% 262.76/206.01 |
% 262.76/206.01 | Equations (887) can reduce 142 to:
% 262.76/206.01 | (1142) ~ (all_0_38_38 = e4)
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 1142 yields:
% 262.76/206.01 | (1143) ~ (all_0_38_38 = e4)
% 262.76/206.01 |
% 262.76/206.01 | Equations (887) can reduce 560 to:
% 262.76/206.01 | (277) ~ (e4 = e3)
% 262.76/206.01 |
% 262.76/206.01 | Equations (887) can reduce 419 to:
% 262.76/206.01 | (65) ~ (e4 = e1)
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (334), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (483) all_0_15_15 = e0
% 262.76/206.01 |
% 262.76/206.01 | Combining equations (483,468) yields a new equation:
% 262.76/206.01 | (980) e3 = e0
% 262.76/206.01 |
% 262.76/206.01 | Equations (980) can reduce 88 to:
% 262.76/206.01 | (366) $false
% 262.76/206.01 |
% 262.76/206.01 |-The branch is then unsatisfiable
% 262.76/206.01 |-Branch two:
% 262.76/206.01 | (463) ~ (all_0_15_15 = e0)
% 262.76/206.01 | (2584) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (2584), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (873) all_0_16_16 = e0
% 262.76/206.01 |
% 262.76/206.01 | Equations (873) can reduce 10 to:
% 262.76/206.01 | (1856) ~ (all_0_31_31 = e0)
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 1856 yields:
% 262.76/206.01 | (1064) ~ (all_0_31_31 = e0)
% 262.76/206.01 |
% 262.76/206.01 | Equations (873) can reduce 458 to:
% 262.76/206.01 | (391) ~ (e3 = e0)
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 391 yields:
% 262.76/206.01 | (88) ~ (e3 = e0)
% 262.76/206.01 |
% 262.76/206.01 | Equations (873) can reduce 985 to:
% 262.76/206.01 | (395) ~ (e1 = e0)
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 395 yields:
% 262.76/206.01 | (37) ~ (e1 = e0)
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (115), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (1446) all_0_31_31 = e4
% 262.76/206.01 |
% 262.76/206.01 | Equations (1446) can reduce 584 to:
% 262.76/206.01 | (366) $false
% 262.76/206.01 |
% 262.76/206.01 |-The branch is then unsatisfiable
% 262.76/206.01 |-Branch two:
% 262.76/206.01 | (584) ~ (all_0_31_31 = e4)
% 262.76/206.01 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (1631), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (763) all_0_31_31 = e3
% 262.76/206.01 |
% 262.76/206.01 | Equations (763) can reduce 510 to:
% 262.76/206.01 | (366) $false
% 262.76/206.01 |
% 262.76/206.01 |-The branch is then unsatisfiable
% 262.76/206.01 |-Branch two:
% 262.76/206.01 | (510) ~ (all_0_31_31 = e3)
% 262.76/206.01 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (1635), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (751) all_0_31_31 = e2
% 262.76/206.01 |
% 262.76/206.01 | Equations (751) can reduce 7 to:
% 262.76/206.01 | (755) ~ (all_0_36_36 = e2)
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 755 yields:
% 262.76/206.01 | (756) ~ (all_0_36_36 = e2)
% 262.76/206.01 |
% 262.76/206.01 | Equations (751) can reduce 510 to:
% 262.76/206.01 | (658) ~ (e3 = e2)
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 658 yields:
% 262.76/206.01 | (56) ~ (e3 = e2)
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (94), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (1287) all_0_16_16 = e3
% 262.76/206.01 |
% 262.76/206.01 | Combining equations (1287,873) yields a new equation:
% 262.76/206.01 | (979) e3 = e0
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 979 yields:
% 262.76/206.01 | (980) e3 = e0
% 262.76/206.01 |
% 262.76/206.01 | Equations (980) can reduce 88 to:
% 262.76/206.01 | (366) $false
% 262.76/206.01 |
% 262.76/206.01 |-The branch is then unsatisfiable
% 262.76/206.01 |-Branch two:
% 262.76/206.01 | (458) ~ (all_0_16_16 = e3)
% 262.76/206.01 | (2460) all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (187), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (2611) all_0_36_36 = e4
% 262.76/206.01 |
% 262.76/206.01 | Equations (2611) can reduce 586 to:
% 262.76/206.01 | (366) $false
% 262.76/206.01 |
% 262.76/206.01 |-The branch is then unsatisfiable
% 262.76/206.01 |-Branch two:
% 262.76/206.01 | (586) ~ (all_0_36_36 = e4)
% 262.76/206.01 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (2460), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (453) all_0_21_21 = e3
% 262.76/206.01 |
% 262.76/206.01 | Combining equations (449,453) yields a new equation:
% 262.76/206.01 | (690) e4 = e3
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 690 yields:
% 262.76/206.01 | (691) e4 = e3
% 262.76/206.01 |
% 262.76/206.01 | Equations (691) can reduce 277 to:
% 262.76/206.01 | (366) $false
% 262.76/206.01 |
% 262.76/206.01 |-The branch is then unsatisfiable
% 262.76/206.01 |-Branch two:
% 262.76/206.01 | (494) ~ (all_0_21_21 = e3)
% 262.76/206.01 | (2466) all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (16), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (1196) all_0_35_35 = e1
% 262.76/206.01 |
% 262.76/206.01 | Equations (1196) can reduce 570 to:
% 262.76/206.01 | (429) ~ (e3 = e1)
% 262.76/206.01 |
% 262.76/206.01 | Simplifying 429 yields:
% 262.76/206.01 | (318) ~ (e3 = e1)
% 262.76/206.01 |
% 262.76/206.01 | From (1196) and (676) follows:
% 262.76/206.01 | (2624) op(e2, e1) = e0
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (165), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (1161) all_0_35_35 = e4
% 262.76/206.01 |
% 262.76/206.01 | Combining equations (1196,1161) yields a new equation:
% 262.76/206.01 | (480) e4 = e1
% 262.76/206.01 |
% 262.76/206.01 | Equations (480) can reduce 65 to:
% 262.76/206.01 | (366) $false
% 262.76/206.01 |
% 262.76/206.01 |-The branch is then unsatisfiable
% 262.76/206.01 |-Branch two:
% 262.76/206.01 | (514) ~ (all_0_35_35 = e4)
% 262.76/206.01 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (1164), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (2611) all_0_36_36 = e4
% 262.76/206.01 |
% 262.76/206.01 | Equations (2611) can reduce 586 to:
% 262.76/206.01 | (366) $false
% 262.76/206.01 |
% 262.76/206.01 |-The branch is then unsatisfiable
% 262.76/206.01 |-Branch two:
% 262.76/206.01 | (586) ~ (all_0_36_36 = e4)
% 262.76/206.01 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.01 |
% 262.76/206.01 +-Applying beta-rule and splitting (1748), into two cases.
% 262.76/206.01 |-Branch one:
% 262.76/206.01 | (2634) ~ (op(e2, e1) = e0)
% 262.76/206.01 |
% 262.76/206.01 | Using (2624) and (2634) yields:
% 262.76/206.01 | (821) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (2624) op(e2, e1) = e0
% 262.76/206.02 | (1044) all_0_28_28 = e0
% 262.76/206.02 |
% 262.76/206.02 | Equations (1044) can reduce 890 to:
% 262.76/206.02 | (389) ~ (e4 = e0)
% 262.76/206.02 |
% 262.76/206.02 | Simplifying 389 yields:
% 262.76/206.02 | (287) ~ (e4 = e0)
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2466), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (2443) all_0_26_26 = e3
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (1005,2443) yields a new equation:
% 262.76/206.02 | (706) e3 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (706) can reduce 318 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (504) ~ (all_0_26_26 = e3)
% 262.76/206.02 | (2644) all_0_31_31 = e3 | all_0_36_36 = e3
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2644), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (763) all_0_31_31 = e3
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (751,763) yields a new equation:
% 262.76/206.02 | (764) e3 = e2
% 262.76/206.02 |
% 262.76/206.02 | Equations (764) can reduce 56 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (510) ~ (all_0_31_31 = e3)
% 262.76/206.02 | (818) all_0_36_36 = e3
% 262.76/206.02 |
% 262.76/206.02 | Equations (818) can reduce 756 to:
% 262.76/206.02 | (56) ~ (e3 = e2)
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2633), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1232) all_0_37_37 = e4
% 262.76/206.02 |
% 262.76/206.02 | From (1232) and (1407) follows:
% 262.76/206.02 | (1335) op(e4, e4) = e2
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (1305), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1336) ~ (op(e4, e4) = e2)
% 262.76/206.02 |
% 262.76/206.02 | Using (1335) and (1336) yields:
% 262.76/206.02 | (821) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1335) op(e4, e4) = e2
% 262.76/206.02 | (764) e3 = e2
% 262.76/206.02 |
% 262.76/206.02 | Equations (764) can reduce 56 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (2658) ~ (all_0_37_37 = e4)
% 262.76/206.02 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2659), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1165) all_0_38_38 = e4
% 262.76/206.02 |
% 262.76/206.02 | Equations (1165) can reduce 1143 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1143) ~ (all_0_38_38 = e4)
% 262.76/206.02 | (365) all_0_39_39 = e4
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (365,380) yields a new equation:
% 262.76/206.02 | (842) e4 = e0
% 262.76/206.02 |
% 262.76/206.02 | Simplifying 842 yields:
% 262.76/206.02 | (490) e4 = e0
% 262.76/206.02 |
% 262.76/206.02 | Equations (490) can reduce 287 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1177) ~ (all_0_35_35 = e1)
% 262.76/206.02 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (1199), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1015) all_0_36_36 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (1015) can reduce 1593 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1593) ~ (all_0_36_36 = e1)
% 262.76/206.02 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2672), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1590) all_0_37_37 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (1590) can reduce 2562 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (2562) ~ (all_0_37_37 = e1)
% 262.76/206.02 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2676), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1211) all_0_38_38 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (1211) can reduce 428 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (428) ~ (all_0_38_38 = e1)
% 262.76/206.02 | (377) all_0_39_39 = e1
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (377,380) yields a new equation:
% 262.76/206.02 | (960) e1 = e0
% 262.76/206.02 |
% 262.76/206.02 | Simplifying 960 yields:
% 262.76/206.02 | (961) e1 = e0
% 262.76/206.02 |
% 262.76/206.02 | Equations (961) can reduce 37 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1099) ~ (all_0_31_31 = e2)
% 262.76/206.02 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (1639), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1010) all_0_31_31 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (1010) can reduce 423 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (423) ~ (all_0_31_31 = e1)
% 262.76/206.02 | (1060) all_0_31_31 = e0
% 262.76/206.02 |
% 262.76/206.02 | Equations (1060) can reduce 1064 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (824) ~ (all_0_16_16 = e0)
% 262.76/206.02 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2692), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (823) all_0_17_17 = e0
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (823,1498) yields a new equation:
% 262.76/206.02 | (961) e1 = e0
% 262.76/206.02 |
% 262.76/206.02 | Equations (961) can reduce 37 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (2422) ~ (all_0_17_17 = e0)
% 262.76/206.02 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2697), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1153) all_0_18_18 = e0
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (887,1153) yields a new equation:
% 262.76/206.02 | (842) e4 = e0
% 262.76/206.02 |
% 262.76/206.02 | Simplifying 842 yields:
% 262.76/206.02 | (490) e4 = e0
% 262.76/206.02 |
% 262.76/206.02 | Equations (490) can reduce 287 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1156) ~ (all_0_18_18 = e0)
% 262.76/206.02 | (2703) all_0_19_19 = e0
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (663,2703) yields a new equation:
% 262.76/206.02 | (836) e2 = e0
% 262.76/206.02 |
% 262.76/206.02 | Simplifying 836 yields:
% 262.76/206.02 | (551) e2 = e0
% 262.76/206.02 |
% 262.76/206.02 | Equations (551) can reduce 347 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1046) ~ (all_0_18_18 = e4)
% 262.76/206.02 | (711) all_0_19_19 = e4
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (711,663) yields a new equation:
% 262.76/206.02 | (1111) e4 = e2
% 262.76/206.02 |
% 262.76/206.02 | Simplifying 1111 yields:
% 262.76/206.02 | (539) e4 = e2
% 262.76/206.02 |
% 262.76/206.02 | Equations (539) can reduce 19 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1501) ~ (all_0_17_17 = e1)
% 262.76/206.02 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (1681), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1278) all_0_18_18 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (1278) can reduce 419 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (419) ~ (all_0_18_18 = e1)
% 262.76/206.02 | (716) all_0_19_19 = e1
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (716,663) yields a new equation:
% 262.76/206.02 | (718) e2 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (718) can reduce 329 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (1008) ~ (all_0_26_26 = e1)
% 262.76/206.02 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2035), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (543) all_0_27_27 = e1
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (443,543) yields a new equation:
% 262.76/206.02 | (717) e2 = e1
% 262.76/206.02 |
% 262.76/206.02 | Simplifying 717 yields:
% 262.76/206.02 | (718) e2 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (718) can reduce 329 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (402) ~ (all_0_27_27 = e1)
% 262.76/206.02 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 262.76/206.02 |
% 262.76/206.02 +-Applying beta-rule and splitting (2041), into two cases.
% 262.76/206.02 |-Branch one:
% 262.76/206.02 | (1041) all_0_28_28 = e1
% 262.76/206.02 |
% 262.76/206.02 | Equations (1041) can reduce 421 to:
% 262.76/206.02 | (366) $false
% 262.76/206.02 |
% 262.76/206.02 |-The branch is then unsatisfiable
% 262.76/206.02 |-Branch two:
% 262.76/206.02 | (421) ~ (all_0_28_28 = e1)
% 262.76/206.02 | (945) all_0_29_29 = e1
% 262.76/206.02 |
% 262.76/206.02 | Combining equations (1250,945) yields a new equation:
% 262.76/206.02 | (955) e4 = e1
% 262.76/206.02 |
% 262.76/206.02 | Simplifying 955 yields:
% 262.76/206.02 | (480) e4 = e1
% 262.76/206.02 |
% 262.76/206.03 | Equations (480) can reduce 65 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (1031) ~ (all_0_34_34 = e3)
% 262.76/206.03 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (964), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (1023) all_0_29_29 = e3
% 262.76/206.03 |
% 262.76/206.03 | Combining equations (1023,1250) yields a new equation:
% 262.76/206.03 | (691) e4 = e3
% 262.76/206.03 |
% 262.76/206.03 | Equations (691) can reduce 277 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (898) ~ (all_0_29_29 = e3)
% 262.76/206.03 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (1026), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (1027) all_0_34_34 = e3
% 262.76/206.03 |
% 262.76/206.03 | Equations (1027) can reduce 1031 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (1031) ~ (all_0_34_34 = e3)
% 262.76/206.03 | (369) all_0_39_39 = e3
% 262.76/206.03 |
% 262.76/206.03 | Combining equations (369,380) yields a new equation:
% 262.76/206.03 | (979) e3 = e0
% 262.76/206.03 |
% 262.76/206.03 | Simplifying 979 yields:
% 262.76/206.03 | (980) e3 = e0
% 262.76/206.03 |
% 262.76/206.03 | Equations (980) can reduce 88 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (943) ~ (all_0_24_24 = e1)
% 262.76/206.03 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (1396), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (1027) all_0_34_34 = e3
% 262.76/206.03 |
% 262.76/206.03 | Equations (1027) can reduce 4 to:
% 262.76/206.03 | (963) ~ (all_0_24_24 = e3)
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (688), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (939) all_0_24_24 = e3
% 262.76/206.03 |
% 262.76/206.03 | Equations (939) can reduce 963 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (963) ~ (all_0_24_24 = e3)
% 262.76/206.03 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (968), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (1393) all_0_24_24 = e2
% 262.76/206.03 |
% 262.76/206.03 | Equations (1393) can reduce 668 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (668) ~ (all_0_24_24 = e2)
% 262.76/206.03 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (2760), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (940) all_0_24_24 = e1
% 262.76/206.03 |
% 262.76/206.03 | Equations (940) can reduce 943 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (943) ~ (all_0_24_24 = e1)
% 262.76/206.03 | (1069) all_0_24_24 = e0
% 262.76/206.03 |
% 262.76/206.03 | Equations (1069) can reduce 382 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (1031) ~ (all_0_34_34 = e3)
% 262.76/206.03 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (1709), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (1110) all_0_34_34 = e2
% 262.76/206.03 |
% 262.76/206.03 | Equations (1110) can reduce 672 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (672) ~ (all_0_34_34 = e2)
% 262.76/206.03 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (1713), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (954) all_0_34_34 = e1
% 262.76/206.03 |
% 262.76/206.03 | Equations (954) can reduce 426 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (426) ~ (all_0_34_34 = e1)
% 262.76/206.03 | (1717) all_0_34_34 = e0
% 262.76/206.03 |
% 262.76/206.03 | Equations (1717) can reduce 384 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (724) ~ (all_0_29_29 = e4)
% 262.76/206.03 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (1735), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (723) all_0_34_34 = e4
% 262.76/206.03 |
% 262.76/206.03 | Equations (723) can reduce 1395 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (1395) ~ (all_0_34_34 = e4)
% 262.76/206.03 | (365) all_0_39_39 = e4
% 262.76/206.03 |
% 262.76/206.03 | Combining equations (380,365) yields a new equation:
% 262.76/206.03 | (490) e4 = e0
% 262.76/206.03 |
% 262.76/206.03 | Equations (490) can reduce 287 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (2785) ~ (all_0_19_19 = e2)
% 262.76/206.03 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (114), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (472) all_0_15_15 = e2
% 262.76/206.03 |
% 262.76/206.03 | Combining equations (472,468) yields a new equation:
% 262.76/206.03 | (764) e3 = e2
% 262.76/206.03 |
% 262.76/206.03 | Equations (764) can reduce 56 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (447) ~ (all_0_15_15 = e2)
% 262.76/206.03 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 262.76/206.03 |
% 262.76/206.03 | Equations (468) can reduce 447 to:
% 262.76/206.03 | (56) ~ (e3 = e2)
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (225), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (711) all_0_19_19 = e4
% 262.76/206.03 |
% 262.76/206.03 | Equations (711) can reduce 236 to:
% 262.76/206.03 | (573) ~ (all_0_16_16 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (711) can reduce 87 to:
% 262.76/206.03 | (579) ~ (all_0_24_24 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Simplifying 579 yields:
% 262.76/206.03 | (580) ~ (all_0_24_24 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (711) can reduce 229 to:
% 262.76/206.03 | (2797) ~ (all_0_29_29 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Simplifying 2797 yields:
% 262.76/206.03 | (724) ~ (all_0_29_29 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (711) can reduce 280 to:
% 262.76/206.03 | (2206) ~ (all_0_34_34 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Simplifying 2206 yields:
% 262.76/206.03 | (1395) ~ (all_0_34_34 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (711) can reduce 2785 to:
% 262.76/206.03 | (19) ~ (e4 = e2)
% 262.76/206.03 |
% 262.76/206.03 | Equations (711) can reduce 381 to:
% 262.76/206.03 | (287) ~ (e4 = e0)
% 262.76/206.03 |
% 262.76/206.03 | From (711) and (332) follows:
% 262.76/206.03 | (2803) op(e4, all_0_35_35) = e0
% 262.76/206.03 |
% 262.76/206.03 | From (711) and (24) follows:
% 262.76/206.03 | (2804) op(all_0_35_35, e4) = e4
% 262.76/206.03 |
% 262.76/206.03 | Instantiating formula (97) with e2, e4, e4, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 262.76/206.03 | (2805) all_0_25_25 = e4 | ~ (op(e2, e4) = e4)
% 262.76/206.03 |
% 262.76/206.03 | Instantiating formula (97) with e1, e4, e4, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 262.76/206.03 | (2806) all_0_30_30 = e4 | ~ (op(e1, e4) = e4)
% 262.76/206.03 |
% 262.76/206.03 | Instantiating formula (97) with e4, e2, e0, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 262.76/206.03 | (735) all_0_17_17 = e0 | ~ (op(e4, e2) = e0)
% 262.76/206.03 |
% 262.76/206.03 | Instantiating formula (97) with e4, e1, e0, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 262.76/206.03 | (2808) all_0_18_18 = e0 | ~ (op(e4, e1) = e0)
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (357), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (1250) all_0_29_29 = e4
% 262.76/206.03 |
% 262.76/206.03 | Equations (1250) can reduce 724 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (724) ~ (all_0_29_29 = e4)
% 262.76/206.03 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (327), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (768) all_0_30_30 = e4
% 262.76/206.03 |
% 262.76/206.03 | Equations (768) can reduce 116 to:
% 262.76/206.03 | (496) ~ (all_0_20_20 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (768) can reduce 58 to:
% 262.76/206.03 | (501) ~ (all_0_25_25 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (768) can reduce 217 to:
% 262.76/206.03 | (583) ~ (all_0_31_31 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Simplifying 583 yields:
% 262.76/206.03 | (584) ~ (all_0_31_31 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (768) can reduce 15 to:
% 262.76/206.03 | (2206) ~ (all_0_34_34 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Simplifying 2206 yields:
% 262.76/206.03 | (1395) ~ (all_0_34_34 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (768) can reduce 96 to:
% 262.76/206.03 | (1159) ~ (all_0_35_35 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Simplifying 1159 yields:
% 262.76/206.03 | (514) ~ (all_0_35_35 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (768) can reduce 568 to:
% 262.76/206.03 | (277) ~ (e4 = e3)
% 262.76/206.03 |
% 262.76/206.03 | From (768) and (290) follows:
% 262.76/206.03 | (2823) op(e4, all_0_18_18) = e4
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (285), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (1158) all_0_25_25 = e4
% 262.76/206.03 |
% 262.76/206.03 | Equations (1158) can reduce 501 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (501) ~ (all_0_25_25 = e4)
% 262.76/206.03 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (1217), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (1237) all_0_26_26 = e4
% 262.76/206.03 |
% 262.76/206.03 | Equations (1237) can reduce 582 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (582) ~ (all_0_26_26 = e4)
% 262.76/206.03 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (1240), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (435) all_0_27_27 = e4
% 262.76/206.03 |
% 262.76/206.03 | Combining equations (443,435) yields a new equation:
% 262.76/206.03 | (539) e4 = e2
% 262.76/206.03 |
% 262.76/206.03 | Equations (539) can reduce 19 to:
% 262.76/206.03 | (366) $false
% 262.76/206.03 |
% 262.76/206.03 |-The branch is then unsatisfiable
% 262.76/206.03 |-Branch two:
% 262.76/206.03 | (404) ~ (all_0_27_27 = e4)
% 262.76/206.03 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 262.76/206.03 |
% 262.76/206.03 +-Applying beta-rule and splitting (1245), into two cases.
% 262.76/206.03 |-Branch one:
% 262.76/206.03 | (892) all_0_28_28 = e4
% 262.76/206.03 |
% 262.76/206.03 | Equations (892) can reduce 193 to:
% 262.76/206.03 | (501) ~ (all_0_25_25 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (892) can reduce 46 to:
% 262.76/206.03 | (582) ~ (all_0_26_26 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (892) can reduce 198 to:
% 262.76/206.03 | (1142) ~ (all_0_38_38 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Simplifying 1142 yields:
% 262.76/206.03 | (1143) ~ (all_0_38_38 = e4)
% 262.76/206.03 |
% 262.76/206.03 | Equations (892) can reduce 421 to:
% 262.76/206.03 | (65) ~ (e4 = e1)
% 262.76/206.03 |
% 262.76/206.03 | From (892) and (315) follows:
% 262.76/206.04 | (2843) op(e4, all_0_32_32) = e1
% 262.76/206.04 |
% 262.76/206.04 | From (892) and (200) follows:
% 262.76/206.04 | (2844) op(all_0_32_32, e4) = e2
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (165), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1161) all_0_35_35 = e4
% 262.76/206.04 |
% 262.76/206.04 | Equations (1161) can reduce 514 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (514) ~ (all_0_35_35 = e4)
% 262.76/206.04 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (1164), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (2611) all_0_36_36 = e4
% 262.76/206.04 |
% 262.76/206.04 | Equations (2611) can reduce 586 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (586) ~ (all_0_36_36 = e4)
% 262.76/206.04 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (2633), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1232) all_0_37_37 = e4
% 262.76/206.04 |
% 262.76/206.04 | Equations (1232) can reduce 132 to:
% 262.76/206.04 | (869) ~ (all_0_17_17 = e4)
% 262.76/206.04 |
% 262.76/206.04 | Equations (1232) can reduce 202 to:
% 262.76/206.04 | (576) ~ (all_0_22_22 = e4)
% 262.76/206.04 |
% 262.76/206.04 | Equations (1232) can reduce 336 to:
% 262.76/206.04 | (727) ~ (all_0_32_32 = e4)
% 262.76/206.04 |
% 262.76/206.04 | Equations (1232) can reduce 121 to:
% 262.76/206.04 | (514) ~ (all_0_35_35 = e4)
% 262.76/206.04 |
% 262.76/206.04 | Equations (1232) can reduce 515 to:
% 262.76/206.04 | (19) ~ (e4 = e2)
% 262.76/206.04 |
% 262.76/206.04 | Equations (1232) can reduce 387 to:
% 262.76/206.04 | (287) ~ (e4 = e0)
% 262.76/206.04 |
% 262.76/206.04 | Instantiating formula (97) with e3, e4, e2, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 262.76/206.04 | (2860) all_0_20_20 = e2 | ~ (op(e3, e4) = e2)
% 262.76/206.04 |
% 262.76/206.04 | Instantiating formula (97) with e4, e2, e4, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 262.76/206.04 | (682) all_0_17_17 = e4 | ~ (op(e4, e2) = e4)
% 262.76/206.04 |
% 262.76/206.04 | Instantiating formula (97) with e4, all_0_32_32, e1, e2 and discharging atoms op(e4, all_0_32_32) = e1, yields:
% 262.76/206.04 | (2862) e2 = e1 | ~ (op(e4, all_0_32_32) = e2)
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (168), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (2438) all_0_25_25 = e3
% 262.76/206.04 |
% 262.76/206.04 | Equations (2438) can reduce 566 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (566) ~ (all_0_25_25 = e3)
% 262.76/206.04 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (323), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (476) all_0_15_15 = e1
% 262.76/206.04 |
% 262.76/206.04 | Combining equations (476,468) yields a new equation:
% 262.76/206.04 | (706) e3 = e1
% 262.76/206.04 |
% 262.76/206.04 | Equations (706) can reduce 318 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (482) ~ (all_0_15_15 = e1)
% 262.76/206.04 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 262.76/206.04 |
% 262.76/206.04 | Equations (468) can reduce 482 to:
% 262.76/206.04 | (318) ~ (e3 = e1)
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (232), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1970) all_0_17_17 = e3
% 262.76/206.04 |
% 262.76/206.04 | Equations (1970) can reduce 558 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (558) ~ (all_0_17_17 = e3)
% 262.76/206.04 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (127), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (790) all_0_30_30 = e0
% 262.76/206.04 |
% 262.76/206.04 | Combining equations (768,790) yields a new equation:
% 262.76/206.04 | (842) e4 = e0
% 262.76/206.04 |
% 262.76/206.04 | Simplifying 842 yields:
% 262.76/206.04 | (490) e4 = e0
% 262.76/206.04 |
% 262.76/206.04 | Equations (490) can reduce 287 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (1878) ~ (all_0_30_30 = e0)
% 262.76/206.04 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 262.76/206.04 |
% 262.76/206.04 | Equations (768) can reduce 1878 to:
% 262.76/206.04 | (287) ~ (e4 = e0)
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (215), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (747) all_0_30_30 = e2
% 262.76/206.04 |
% 262.76/206.04 | Combining equations (768,747) yields a new equation:
% 262.76/206.04 | (1111) e4 = e2
% 262.76/206.04 |
% 262.76/206.04 | Simplifying 1111 yields:
% 262.76/206.04 | (539) e4 = e2
% 262.76/206.04 |
% 262.76/206.04 | Equations (539) can reduce 19 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (740) ~ (all_0_30_30 = e2)
% 262.76/206.04 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 262.76/206.04 |
% 262.76/206.04 | Equations (768) can reduce 740 to:
% 262.76/206.04 | (19) ~ (e4 = e2)
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (83), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (723) all_0_34_34 = e4
% 262.76/206.04 |
% 262.76/206.04 | Equations (723) can reduce 1395 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (1395) ~ (all_0_34_34 = e4)
% 262.76/206.04 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (241), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1921) all_0_25_25 = e0
% 262.76/206.04 |
% 262.76/206.04 | Equations (1921) can reduce 95 to:
% 262.76/206.04 | (839) ~ (all_0_20_20 = e0)
% 262.76/206.04 |
% 262.76/206.04 | Equations (1921) can reduce 128 to:
% 262.76/206.04 | (2897) ~ (all_0_26_26 = e0)
% 262.76/206.04 |
% 262.76/206.04 | Simplifying 2897 yields:
% 262.76/206.04 | (1058) ~ (all_0_26_26 = e0)
% 262.76/206.04 |
% 262.76/206.04 | Equations (1921) can reduce 501 to:
% 262.76/206.04 | (389) ~ (e4 = e0)
% 262.76/206.04 |
% 262.76/206.04 | Simplifying 389 yields:
% 262.76/206.04 | (287) ~ (e4 = e0)
% 262.76/206.04 |
% 262.76/206.04 | Equations (1921) can reduce 646 to:
% 262.76/206.04 | (393) ~ (e2 = e0)
% 262.76/206.04 |
% 262.76/206.04 | Simplifying 393 yields:
% 262.76/206.04 | (347) ~ (e2 = e0)
% 262.76/206.04 |
% 262.76/206.04 | From (1921) and (57) follows:
% 262.76/206.04 | (2903) op(all_0_17_17, e0) = e2
% 262.76/206.04 |
% 262.76/206.04 | Instantiating formula (97) with e0, e0, e2, e0 and discharging atoms op(e0, e0) = e0, yields:
% 262.76/206.04 | (2904) e2 = e0 | ~ (op(e0, e0) = e2)
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (269), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1134) all_0_18_18 = e3
% 262.76/206.04 |
% 262.76/206.04 | Equations (1134) can reduce 560 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (560) ~ (all_0_18_18 = e3)
% 262.76/206.04 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (135), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (835) all_0_20_20 = e0
% 262.76/206.04 |
% 262.76/206.04 | Equations (835) can reduce 839 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (839) ~ (all_0_20_20 = e0)
% 262.76/206.04 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (231), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1453) all_0_20_20 = e4
% 262.76/206.04 |
% 262.76/206.04 | Equations (1453) can reduce 496 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (496) ~ (all_0_20_20 = e4)
% 262.76/206.04 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (162), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (472) all_0_15_15 = e2
% 262.76/206.04 |
% 262.76/206.04 | Combining equations (472,468) yields a new equation:
% 262.76/206.04 | (764) e3 = e2
% 262.76/206.04 |
% 262.76/206.04 | Equations (764) can reduce 56 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (447) ~ (all_0_15_15 = e2)
% 262.76/206.04 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 262.76/206.04 |
% 262.76/206.04 | Equations (468) can reduce 447 to:
% 262.76/206.04 | (56) ~ (e3 = e2)
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (279), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (873) all_0_16_16 = e0
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (240), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (865) all_0_17_17 = e4
% 262.76/206.04 |
% 262.76/206.04 | Equations (865) can reduce 869 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (869) ~ (all_0_17_17 = e4)
% 262.76/206.04 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (2791), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (697) all_0_16_16 = e2
% 262.76/206.04 |
% 262.76/206.04 | Combining equations (697,873) yields a new equation:
% 262.76/206.04 | (836) e2 = e0
% 262.76/206.04 |
% 262.76/206.04 | Simplifying 836 yields:
% 262.76/206.04 | (551) e2 = e0
% 262.76/206.04 |
% 262.76/206.04 | Equations (551) can reduce 347 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (664) ~ (all_0_16_16 = e2)
% 262.76/206.04 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (2933), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1980) all_0_17_17 = e2
% 262.76/206.04 |
% 262.76/206.04 | Equations (1980) can reduce 459 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (459) ~ (all_0_17_17 = e2)
% 262.76/206.04 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (2937), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1274) all_0_18_18 = e2
% 262.76/206.04 |
% 262.76/206.04 | From (1274) and (2823) follows:
% 262.76/206.04 | (1462) op(e4, e2) = e4
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (682), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (1463) ~ (op(e4, e2) = e4)
% 262.76/206.04 |
% 262.76/206.04 | Using (1462) and (1463) yields:
% 262.76/206.04 | (821) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (1462) op(e4, e2) = e4
% 262.76/206.04 | (865) all_0_17_17 = e4
% 262.76/206.04 |
% 262.76/206.04 | Equations (865) can reduce 869 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (666) ~ (all_0_18_18 = e2)
% 262.76/206.04 | (663) all_0_19_19 = e2
% 262.76/206.04 |
% 262.76/206.04 | Combining equations (663,711) yields a new equation:
% 262.76/206.04 | (539) e4 = e2
% 262.76/206.04 |
% 262.76/206.04 | Equations (539) can reduce 19 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (824) ~ (all_0_16_16 = e0)
% 262.76/206.04 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (876), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (529) all_0_21_21 = e0
% 262.76/206.04 |
% 262.76/206.04 | Combining equations (529,449) yields a new equation:
% 262.76/206.04 | (490) e4 = e0
% 262.76/206.04 |
% 262.76/206.04 | Equations (490) can reduce 287 to:
% 262.76/206.04 | (366) $false
% 262.76/206.04 |
% 262.76/206.04 |-The branch is then unsatisfiable
% 262.76/206.04 |-Branch two:
% 262.76/206.04 | (398) ~ (all_0_21_21 = e0)
% 262.76/206.04 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 262.76/206.04 |
% 262.76/206.04 +-Applying beta-rule and splitting (882), into two cases.
% 262.76/206.04 |-Branch one:
% 262.76/206.04 | (883) all_0_26_26 = e0
% 262.76/206.04 |
% 262.76/206.04 | Equations (883) can reduce 1058 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (1058) ~ (all_0_26_26 = e0)
% 262.76/206.05 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (1059), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (1060) all_0_31_31 = e0
% 262.76/206.05 |
% 262.76/206.05 | Equations (1060) can reduce 247 to:
% 262.76/206.05 | (2961) ~ (all_0_32_32 = e0)
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 2961 yields:
% 262.76/206.05 | (1946) ~ (all_0_32_32 = e0)
% 262.76/206.05 |
% 262.76/206.05 | Equations (1060) can reduce 188 to:
% 262.76/206.05 | (2963) ~ (all_0_34_34 = e0)
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 2963 yields:
% 262.76/206.05 | (384) ~ (all_0_34_34 = e0)
% 262.76/206.05 |
% 262.76/206.05 | Equations (1060) can reduce 584 to:
% 262.76/206.05 | (389) ~ (e4 = e0)
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 389 yields:
% 262.76/206.05 | (287) ~ (e4 = e0)
% 262.76/206.05 |
% 262.76/206.05 | Equations (1060) can reduce 423 to:
% 262.76/206.05 | (395) ~ (e1 = e0)
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 395 yields:
% 262.76/206.05 | (37) ~ (e1 = e0)
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (261), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (1229) all_0_32_32 = e4
% 262.76/206.05 |
% 262.76/206.05 | Equations (1229) can reduce 727 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (727) ~ (all_0_32_32 = e4)
% 262.76/206.05 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (750), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (751) all_0_31_31 = e2
% 262.76/206.05 |
% 262.76/206.05 | Combining equations (1060,751) yields a new equation:
% 262.76/206.05 | (551) e2 = e0
% 262.76/206.05 |
% 262.76/206.05 | Equations (551) can reduce 347 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (1099) ~ (all_0_31_31 = e2)
% 262.76/206.05 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 262.76/206.05 |
% 262.76/206.05 | Equations (1060) can reduce 1099 to:
% 262.76/206.05 | (393) ~ (e2 = e0)
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 393 yields:
% 262.76/206.05 | (347) ~ (e2 = e0)
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (1506), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (772) all_0_32_32 = e3
% 262.76/206.05 |
% 262.76/206.05 | Equations (772) can reduce 199 to:
% 262.76/206.05 | (2981) ~ (all_0_34_34 = e3)
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 2981 yields:
% 262.76/206.05 | (1031) ~ (all_0_34_34 = e3)
% 262.76/206.05 |
% 262.76/206.05 | Equations (772) can reduce 424 to:
% 262.76/206.05 | (318) ~ (e3 = e1)
% 262.76/206.05 |
% 262.76/206.05 | From (772) and (2844) follows:
% 262.76/206.05 | (2984) op(e3, e4) = e2
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (1396), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (1027) all_0_34_34 = e3
% 262.76/206.05 |
% 262.76/206.05 | Equations (1027) can reduce 1031 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (1031) ~ (all_0_34_34 = e3)
% 262.76/206.05 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (1709), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (1110) all_0_34_34 = e2
% 262.76/206.05 |
% 262.76/206.05 | Equations (1110) can reduce 426 to:
% 262.76/206.05 | (329) ~ (e2 = e1)
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (2862), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (2991) ~ (op(e4, all_0_32_32) = e2)
% 262.76/206.05 |
% 262.76/206.05 | From (772) and (2991) follows:
% 262.76/206.05 | (2992) ~ (op(e4, e3) = e2)
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (2860), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (2993) ~ (op(e3, e4) = e2)
% 262.76/206.05 |
% 262.76/206.05 | Using (2984) and (2993) yields:
% 262.76/206.05 | (821) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (2984) op(e3, e4) = e2
% 262.76/206.05 | (736) all_0_20_20 = e2
% 262.76/206.05 |
% 262.76/206.05 | Equations (736) can reduce 496 to:
% 262.76/206.05 | (444) ~ (e4 = e2)
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 444 yields:
% 262.76/206.05 | (19) ~ (e4 = e2)
% 262.76/206.05 |
% 262.76/206.05 | Equations (736) can reduce 839 to:
% 262.76/206.05 | (347) ~ (e2 = e0)
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (29), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (476) all_0_15_15 = e1
% 262.76/206.05 |
% 262.76/206.05 | Combining equations (468,476) yields a new equation:
% 262.76/206.05 | (933) e3 = e1
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 933 yields:
% 262.76/206.05 | (706) e3 = e1
% 262.76/206.05 |
% 262.76/206.05 | Equations (706) can reduce 318 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (482) ~ (all_0_15_15 = e1)
% 262.76/206.05 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (937), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (1175) all_0_20_20 = e1
% 262.76/206.05 |
% 262.76/206.05 | Combining equations (736,1175) yields a new equation:
% 262.76/206.05 | (717) e2 = e1
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 717 yields:
% 262.76/206.05 | (718) e2 = e1
% 262.76/206.05 |
% 262.76/206.05 | Equations (718) can reduce 329 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (1409) ~ (all_0_20_20 = e1)
% 262.76/206.05 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (1656), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (950) all_0_25_25 = e1
% 262.76/206.05 |
% 262.76/206.05 | Combining equations (1921,950) yields a new equation:
% 262.76/206.05 | (961) e1 = e0
% 262.76/206.05 |
% 262.76/206.05 | Equations (961) can reduce 37 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (946) ~ (all_0_25_25 = e1)
% 262.76/206.05 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (1676), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (787) all_0_30_30 = e1
% 262.76/206.05 |
% 262.76/206.05 | Combining equations (768,787) yields a new equation:
% 262.76/206.05 | (955) e4 = e1
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 955 yields:
% 262.76/206.05 | (480) e4 = e1
% 262.76/206.05 |
% 262.76/206.05 | Equations (480) can reduce 65 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (422) ~ (all_0_30_30 = e1)
% 262.76/206.05 | (1196) all_0_35_35 = e1
% 262.76/206.05 |
% 262.76/206.05 | From (1196) and (2803) follows:
% 262.76/206.05 | (2158) op(e4, e1) = e0
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (2808), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (3024) ~ (op(e4, e1) = e0)
% 262.76/206.05 |
% 262.76/206.05 | Using (2158) and (3024) yields:
% 262.76/206.05 | (821) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (2158) op(e4, e1) = e0
% 262.76/206.05 | (1153) all_0_18_18 = e0
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (2791), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (697) all_0_16_16 = e2
% 262.76/206.05 |
% 262.76/206.05 | From (697) and (20) follows:
% 262.76/206.05 | (3029) op(e4, e3) = e2
% 262.76/206.05 |
% 262.76/206.05 | Using (3029) and (2992) yields:
% 262.76/206.05 | (821) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (664) ~ (all_0_16_16 = e2)
% 262.76/206.05 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (2933), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (1980) all_0_17_17 = e2
% 262.76/206.05 |
% 262.76/206.05 | Equations (1980) can reduce 459 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (459) ~ (all_0_17_17 = e2)
% 262.76/206.05 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (2937), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (1274) all_0_18_18 = e2
% 262.76/206.05 |
% 262.76/206.05 | Combining equations (1274,1153) yields a new equation:
% 262.76/206.05 | (836) e2 = e0
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 836 yields:
% 262.76/206.05 | (551) e2 = e0
% 262.76/206.05 |
% 262.76/206.05 | Equations (551) can reduce 347 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (666) ~ (all_0_18_18 = e2)
% 262.76/206.05 | (663) all_0_19_19 = e2
% 262.76/206.05 |
% 262.76/206.05 | Combining equations (711,663) yields a new equation:
% 262.76/206.05 | (1111) e4 = e2
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 1111 yields:
% 262.76/206.05 | (539) e4 = e2
% 262.76/206.05 |
% 262.76/206.05 | Equations (539) can reduce 19 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (3046) op(e4, all_0_32_32) = e2
% 262.76/206.05 | (718) e2 = e1
% 262.76/206.05 |
% 262.76/206.05 | Equations (718) can reduce 329 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (672) ~ (all_0_34_34 = e2)
% 262.76/206.05 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (1713), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (954) all_0_34_34 = e1
% 262.76/206.05 |
% 262.76/206.05 | Equations (954) can reduce 426 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (426) ~ (all_0_34_34 = e1)
% 262.76/206.05 | (1717) all_0_34_34 = e0
% 262.76/206.05 |
% 262.76/206.05 | Equations (1717) can reduce 384 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (1089) ~ (all_0_32_32 = e3)
% 262.76/206.05 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (155), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (759) all_0_30_30 = e3
% 262.76/206.05 |
% 262.76/206.05 | Combining equations (768,759) yields a new equation:
% 262.76/206.05 | (690) e4 = e3
% 262.76/206.05 |
% 262.76/206.05 | Simplifying 690 yields:
% 262.76/206.05 | (691) e4 = e3
% 262.76/206.05 |
% 262.76/206.05 | Equations (691) can reduce 277 to:
% 262.76/206.05 | (366) $false
% 262.76/206.05 |
% 262.76/206.05 |-The branch is then unsatisfiable
% 262.76/206.05 |-Branch two:
% 262.76/206.05 | (568) ~ (all_0_30_30 = e3)
% 262.76/206.05 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 262.76/206.05 |
% 262.76/206.05 | Equations (768) can reduce 568 to:
% 262.76/206.05 | (277) ~ (e4 = e3)
% 262.76/206.05 |
% 262.76/206.05 +-Applying beta-rule and splitting (1973), into two cases.
% 262.76/206.05 |-Branch one:
% 262.76/206.05 | (857) all_0_22_22 = e3
% 262.76/206.05 |
% 262.76/206.05 | Equations (857) can reduce 346 to:
% 262.76/206.06 | (3066) ~ (all_0_23_23 = e3)
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 3066 yields:
% 262.76/206.06 | (982) ~ (all_0_23_23 = e3)
% 262.76/206.06 |
% 262.76/206.06 | Equations (857) can reduce 576 to:
% 262.76/206.06 | (695) ~ (e4 = e3)
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 695 yields:
% 262.76/206.06 | (277) ~ (e4 = e3)
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (222), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (823) all_0_17_17 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (823) can reduce 459 to:
% 262.76/206.06 | (393) ~ (e2 = e0)
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 393 yields:
% 262.76/206.06 | (347) ~ (e2 = e0)
% 262.76/206.06 |
% 262.76/206.06 | From (823) and (2903) follows:
% 262.76/206.06 | (550) op(e0, e0) = e2
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (2904), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (3074) ~ (op(e0, e0) = e2)
% 262.76/206.06 |
% 262.76/206.06 | Using (550) and (3074) yields:
% 262.76/206.06 | (821) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (550) op(e0, e0) = e2
% 262.76/206.06 | (551) e2 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (551) can reduce 347 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (2422) ~ (all_0_17_17 = e0)
% 262.76/206.06 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (1137), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (978) all_0_23_23 = e3
% 262.76/206.06 |
% 262.76/206.06 | Equations (978) can reduce 982 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (982) ~ (all_0_23_23 = e3)
% 262.76/206.06 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3084), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (896) all_0_28_28 = e3
% 262.76/206.06 |
% 262.76/206.06 | Combining equations (896,892) yields a new equation:
% 262.76/206.06 | (691) e4 = e3
% 262.76/206.06 |
% 262.76/206.06 | Equations (691) can reduce 277 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (1035) ~ (all_0_28_28 = e3)
% 262.76/206.06 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3089), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (410) all_0_33_33 = e3
% 262.76/206.06 |
% 262.76/206.06 | Combining equations (418,410) yields a new equation:
% 262.76/206.06 | (706) e3 = e1
% 262.76/206.06 |
% 262.76/206.06 | Equations (706) can reduce 318 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (403) ~ (all_0_33_33 = e3)
% 262.76/206.06 | (1077) all_0_38_38 = e3
% 262.76/206.06 |
% 262.76/206.06 | Equations (1077) can reduce 388 to:
% 262.76/206.06 | (88) ~ (e3 = e0)
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (2515), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (847) all_0_22_22 = e0
% 262.76/206.06 |
% 262.76/206.06 | Combining equations (857,847) yields a new equation:
% 262.76/206.06 | (979) e3 = e0
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 979 yields:
% 262.76/206.06 | (980) e3 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (980) can reduce 88 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (826) ~ (all_0_22_22 = e0)
% 262.76/206.06 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3101), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (546) all_0_27_27 = e0
% 262.76/206.06 |
% 262.76/206.06 | Combining equations (443,546) yields a new equation:
% 262.76/206.06 | (836) e2 = e0
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 836 yields:
% 262.76/206.06 | (551) e2 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (551) can reduce 347 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (434) ~ (all_0_27_27 = e0)
% 262.76/206.06 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3107), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (1626) all_0_32_32 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (1626) can reduce 1946 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (1946) ~ (all_0_32_32 = e0)
% 262.76/206.06 | (3111) all_0_37_37 = e0
% 262.76/206.06 |
% 262.76/206.06 | Combining equations (3111,1232) yields a new equation:
% 262.76/206.06 | (490) e4 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (490) can reduce 287 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (774) ~ (all_0_22_22 = e3)
% 262.76/206.06 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3115), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (439) all_0_27_27 = e3
% 262.76/206.06 |
% 262.76/206.06 | Combining equations (443,439) yields a new equation:
% 262.76/206.06 | (764) e3 = e2
% 262.76/206.06 |
% 262.76/206.06 | Equations (764) can reduce 56 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (400) ~ (all_0_27_27 = e3)
% 262.76/206.06 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3120), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (772) all_0_32_32 = e3
% 262.76/206.06 |
% 262.76/206.06 | Equations (772) can reduce 1089 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (1089) ~ (all_0_32_32 = e3)
% 262.76/206.06 | (1073) all_0_37_37 = e3
% 262.76/206.06 |
% 262.76/206.06 | Combining equations (1232,1073) yields a new equation:
% 262.76/206.06 | (690) e4 = e3
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 690 yields:
% 262.76/206.06 | (691) e4 = e3
% 262.76/206.06 |
% 262.76/206.06 | Equations (691) can reduce 277 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (1064) ~ (all_0_31_31 = e0)
% 262.76/206.06 | (1065) all_0_36_36 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (1065) can reduce 386 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (1925) ~ (all_0_25_25 = e0)
% 262.76/206.06 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (245), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (1158) all_0_25_25 = e4
% 262.76/206.06 |
% 262.76/206.06 | Equations (1158) can reduce 501 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (501) ~ (all_0_25_25 = e4)
% 262.76/206.06 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (1926), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (883) all_0_26_26 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (883) can reduce 128 to:
% 262.76/206.06 | (1925) ~ (all_0_25_25 = e0)
% 262.76/206.06 |
% 262.76/206.06 | Equations (883) can reduce 582 to:
% 262.76/206.06 | (389) ~ (e4 = e0)
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 389 yields:
% 262.76/206.06 | (287) ~ (e4 = e0)
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (206), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (483) all_0_15_15 = e0
% 262.76/206.06 |
% 262.76/206.06 | Combining equations (483,468) yields a new equation:
% 262.76/206.06 | (980) e3 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (980) can reduce 88 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (463) ~ (all_0_15_15 = e0)
% 262.76/206.06 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (1889), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (835) all_0_20_20 = e0
% 262.76/206.06 |
% 262.76/206.06 | Equations (835) can reduce 95 to:
% 262.76/206.06 | (3147) ~ (all_0_25_25 = e0)
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 3147 yields:
% 262.76/206.06 | (1925) ~ (all_0_25_25 = e0)
% 262.76/206.06 |
% 262.76/206.06 | Equations (835) can reduce 249 to:
% 262.76/206.06 | (1895) ~ (all_0_35_35 = e0)
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 1895 yields:
% 262.76/206.06 | (385) ~ (all_0_35_35 = e0)
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (240), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (865) all_0_17_17 = e4
% 262.76/206.06 |
% 262.76/206.06 | Equations (865) can reduce 869 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (869) ~ (all_0_17_17 = e4)
% 262.76/206.06 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3136), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (2438) all_0_25_25 = e3
% 262.76/206.06 |
% 262.76/206.06 | Equations (2438) can reduce 566 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (566) ~ (all_0_25_25 = e3)
% 262.76/206.06 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3158), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (3159) all_0_25_25 = e2
% 262.76/206.06 |
% 262.76/206.06 | Equations (3159) can reduce 646 to:
% 262.76/206.06 | (366) $false
% 262.76/206.06 |
% 262.76/206.06 |-The branch is then unsatisfiable
% 262.76/206.06 |-Branch two:
% 262.76/206.06 | (646) ~ (all_0_25_25 = e2)
% 262.76/206.06 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 262.76/206.06 |
% 262.76/206.06 +-Applying beta-rule and splitting (3162), into two cases.
% 262.76/206.06 |-Branch one:
% 262.76/206.06 | (950) all_0_25_25 = e1
% 262.76/206.06 |
% 262.76/206.06 | Equations (950) can reduce 62 to:
% 262.76/206.06 | (3164) ~ (all_0_29_29 = e1)
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 3164 yields:
% 262.76/206.06 | (952) ~ (all_0_29_29 = e1)
% 262.76/206.06 |
% 262.76/206.06 | Equations (950) can reduce 98 to:
% 262.76/206.06 | (1176) ~ (all_0_35_35 = e1)
% 262.76/206.06 |
% 262.76/206.06 | Simplifying 1176 yields:
% 262.76/206.06 | (1177) ~ (all_0_35_35 = e1)
% 262.76/206.06 |
% 262.76/206.07 | Equations (950) can reduce 501 to:
% 262.76/206.07 | (477) ~ (e4 = e1)
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 477 yields:
% 262.76/206.07 | (65) ~ (e4 = e1)
% 262.76/206.07 |
% 262.76/206.07 | Equations (950) can reduce 646 to:
% 262.76/206.07 | (1002) ~ (e2 = e1)
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 1002 yields:
% 262.76/206.07 | (329) ~ (e2 = e1)
% 262.76/206.07 |
% 262.76/206.07 | Equations (950) can reduce 1925 to:
% 262.76/206.07 | (37) ~ (e1 = e0)
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (32), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (716) all_0_19_19 = e1
% 262.76/206.07 |
% 262.76/206.07 | Combining equations (711,716) yields a new equation:
% 262.76/206.07 | (955) e4 = e1
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 955 yields:
% 262.76/206.07 | (480) e4 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (480) can reduce 65 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (720) ~ (all_0_19_19 = e1)
% 262.76/206.07 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (721), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (940) all_0_24_24 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (940) can reduce 268 to:
% 262.76/206.07 | (1018) ~ (all_0_22_22 = e1)
% 262.76/206.07 |
% 262.76/206.07 | Equations (940) can reduce 580 to:
% 262.76/206.07 | (477) ~ (e4 = e1)
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 477 yields:
% 262.76/206.07 | (65) ~ (e4 = e1)
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (17), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (1498) all_0_17_17 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (1498) can reduce 869 to:
% 262.76/206.07 | (477) ~ (e4 = e1)
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 477 yields:
% 262.76/206.07 | (65) ~ (e4 = e1)
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (122), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (1161) all_0_35_35 = e4
% 262.76/206.07 |
% 262.76/206.07 | Equations (1161) can reduce 514 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (514) ~ (all_0_35_35 = e4)
% 262.76/206.07 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (16), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (1196) all_0_35_35 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (1196) can reduce 1177 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (1177) ~ (all_0_35_35 = e1)
% 262.76/206.07 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (1181), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (814) all_0_35_35 = e3
% 262.76/206.07 |
% 262.76/206.07 | Equations (814) can reduce 570 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (570) ~ (all_0_35_35 = e3)
% 262.76/206.07 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (1185), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (797) all_0_35_35 = e2
% 262.76/206.07 |
% 262.76/206.07 | From (797) and (2804) follows:
% 262.76/206.07 | (3199) op(e2, e4) = e4
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (2805), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (3200) ~ (op(e2, e4) = e4)
% 262.76/206.07 |
% 262.76/206.07 | Using (3199) and (3200) yields:
% 262.76/206.07 | (821) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (3199) op(e2, e4) = e4
% 262.76/206.07 | (1158) all_0_25_25 = e4
% 262.76/206.07 |
% 262.76/206.07 | Combining equations (950,1158) yields a new equation:
% 262.76/206.07 | (480) e4 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (480) can reduce 65 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (742) ~ (all_0_35_35 = e2)
% 262.76/206.07 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (1195), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (1196) all_0_35_35 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (1196) can reduce 1177 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (1177) ~ (all_0_35_35 = e1)
% 262.76/206.07 | (1203) all_0_35_35 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (1203) can reduce 385 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (1501) ~ (all_0_17_17 = e1)
% 262.76/206.07 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (1502), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (999) all_0_22_22 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (999) can reduce 1018 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (1018) ~ (all_0_22_22 = e1)
% 262.76/206.07 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (1566), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (543) all_0_27_27 = e1
% 262.76/206.07 |
% 262.76/206.07 | Combining equations (443,543) yields a new equation:
% 262.76/206.07 | (717) e2 = e1
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 717 yields:
% 262.76/206.07 | (718) e2 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (718) can reduce 329 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (402) ~ (all_0_27_27 = e1)
% 262.76/206.07 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (1586), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (1587) all_0_32_32 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (1587) can reduce 424 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (424) ~ (all_0_32_32 = e1)
% 262.76/206.07 | (1590) all_0_37_37 = e1
% 262.76/206.07 |
% 262.76/206.07 | Combining equations (1232,1590) yields a new equation:
% 262.76/206.07 | (955) e4 = e1
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 955 yields:
% 262.76/206.07 | (480) e4 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (480) can reduce 65 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (943) ~ (all_0_24_24 = e1)
% 262.76/206.07 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (944), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (945) all_0_29_29 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (945) can reduce 952 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (952) ~ (all_0_29_29 = e1)
% 262.76/206.07 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (953), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (954) all_0_34_34 = e1
% 262.76/206.07 |
% 262.76/206.07 | Equations (954) can reduce 426 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (426) ~ (all_0_34_34 = e1)
% 262.76/206.07 | (377) all_0_39_39 = e1
% 262.76/206.07 |
% 262.76/206.07 | Combining equations (377,380) yields a new equation:
% 262.76/206.07 | (960) e1 = e0
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 960 yields:
% 262.76/206.07 | (961) e1 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (961) can reduce 37 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (946) ~ (all_0_25_25 = e1)
% 262.76/206.07 | (1921) all_0_25_25 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (1921) can reduce 1925 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (839) ~ (all_0_20_20 = e0)
% 262.76/206.07 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (1920), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (1921) all_0_25_25 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (1921) can reduce 1925 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (1925) ~ (all_0_25_25 = e0)
% 262.76/206.07 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (1938), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (790) all_0_30_30 = e0
% 262.76/206.07 |
% 262.76/206.07 | Combining equations (768,790) yields a new equation:
% 262.76/206.07 | (842) e4 = e0
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 842 yields:
% 262.76/206.07 | (490) e4 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (490) can reduce 287 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (1878) ~ (all_0_30_30 = e0)
% 262.76/206.07 | (1203) all_0_35_35 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (1203) can reduce 385 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (1058) ~ (all_0_26_26 = e0)
% 262.76/206.07 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (2527), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (546) all_0_27_27 = e0
% 262.76/206.07 |
% 262.76/206.07 | Combining equations (546,443) yields a new equation:
% 262.76/206.07 | (551) e2 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (551) can reduce 347 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (434) ~ (all_0_27_27 = e0)
% 262.76/206.07 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 262.76/206.07 |
% 262.76/206.07 +-Applying beta-rule and splitting (2533), into two cases.
% 262.76/206.07 |-Branch one:
% 262.76/206.07 | (1044) all_0_28_28 = e0
% 262.76/206.07 |
% 262.76/206.07 | Combining equations (892,1044) yields a new equation:
% 262.76/206.07 | (842) e4 = e0
% 262.76/206.07 |
% 262.76/206.07 | Simplifying 842 yields:
% 262.76/206.07 | (490) e4 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (490) can reduce 287 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (886) ~ (all_0_28_28 = e0)
% 262.76/206.07 | (2537) all_0_29_29 = e0
% 262.76/206.07 |
% 262.76/206.07 | Equations (2537) can reduce 383 to:
% 262.76/206.07 | (366) $false
% 262.76/206.07 |
% 262.76/206.07 |-The branch is then unsatisfiable
% 262.76/206.07 |-Branch two:
% 262.76/206.07 | (2658) ~ (all_0_37_37 = e4)
% 262.76/206.08 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (2659), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (1165) all_0_38_38 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 1143 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (1143) ~ (all_0_38_38 = e4)
% 262.76/206.08 | (365) all_0_39_39 = e4
% 262.76/206.08 |
% 262.76/206.08 | Combining equations (365,380) yields a new equation:
% 262.76/206.08 | (842) e4 = e0
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 842 yields:
% 262.76/206.08 | (490) e4 = e0
% 262.76/206.08 |
% 262.76/206.08 | Equations (490) can reduce 287 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (890) ~ (all_0_28_28 = e4)
% 262.76/206.08 | (1250) all_0_29_29 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (1250) can reduce 724 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (509) ~ (all_0_30_30 = e4)
% 262.76/206.08 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (1437), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (1446) all_0_31_31 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (1446) can reduce 584 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (584) ~ (all_0_31_31 = e4)
% 262.76/206.08 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (1449), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (1229) all_0_32_32 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (1229) can reduce 286 to:
% 262.76/206.08 | (869) ~ (all_0_17_17 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1229) can reduce 63 to:
% 262.76/206.08 | (576) ~ (all_0_22_22 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1229) can reduce 247 to:
% 262.76/206.08 | (584) ~ (all_0_31_31 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1229) can reduce 199 to:
% 262.76/206.08 | (2206) ~ (all_0_34_34 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 2206 yields:
% 262.76/206.08 | (1395) ~ (all_0_34_34 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1229) can reduce 336 to:
% 262.76/206.08 | (3299) ~ (all_0_37_37 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 3299 yields:
% 262.76/206.08 | (2658) ~ (all_0_37_37 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1229) can reduce 508 to:
% 262.76/206.08 | (19) ~ (e4 = e2)
% 262.76/206.08 |
% 262.76/206.08 | From (1229) and (315) follows:
% 262.76/206.08 | (3302) op(all_0_28_28, e4) = e1
% 262.76/206.08 |
% 262.76/206.08 | From (1229) and (200) follows:
% 262.76/206.08 | (3303) op(e4, all_0_28_28) = e2
% 262.76/206.08 |
% 262.76/206.08 | Instantiating formula (97) with e0, e4, e1, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 262.76/206.08 | (3304) all_0_35_35 = e1 | ~ (op(e0, e4) = e1)
% 262.76/206.08 |
% 262.76/206.08 | Instantiating formula (97) with e4, e4, e2, e3 and discharging atoms op(e4, e4) = e3, yields:
% 262.76/206.08 | (1305) e3 = e2 | ~ (op(e4, e4) = e2)
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (285), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (1158) all_0_25_25 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (1158) can reduce 95 to:
% 262.76/206.08 | (496) ~ (all_0_20_20 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1158) can reduce 128 to:
% 262.76/206.08 | (581) ~ (all_0_26_26 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 581 yields:
% 262.76/206.08 | (582) ~ (all_0_26_26 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1158) can reduce 58 to:
% 262.76/206.08 | (3310) ~ (all_0_30_30 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 3310 yields:
% 262.76/206.08 | (509) ~ (all_0_30_30 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1158) can reduce 98 to:
% 262.76/206.08 | (1159) ~ (all_0_35_35 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 1159 yields:
% 262.76/206.08 | (514) ~ (all_0_35_35 = e4)
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (165), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (1161) all_0_35_35 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (1161) can reduce 514 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (514) ~ (all_0_35_35 = e4)
% 262.76/206.08 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (1164), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (2611) all_0_36_36 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (2611) can reduce 586 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (586) ~ (all_0_36_36 = e4)
% 262.76/206.08 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (2633), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (1232) all_0_37_37 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (1232) can reduce 2658 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (2658) ~ (all_0_37_37 = e4)
% 262.76/206.08 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (2659), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (1165) all_0_38_38 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 142 to:
% 262.76/206.08 | (1046) ~ (all_0_18_18 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 39 to:
% 262.76/206.08 | (578) ~ (all_0_23_23 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 198 to:
% 262.76/206.08 | (890) ~ (all_0_28_28 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 173 to:
% 262.76/206.08 | (514) ~ (all_0_35_35 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 93 to:
% 262.76/206.08 | (586) ~ (all_0_36_36 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 354 to:
% 262.76/206.08 | (2658) ~ (all_0_37_37 = e4)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 428 to:
% 262.76/206.08 | (65) ~ (e4 = e1)
% 262.76/206.08 |
% 262.76/206.08 | Equations (1165) can reduce 388 to:
% 262.76/206.08 | (287) ~ (e4 = e0)
% 262.76/206.08 |
% 262.76/206.08 | From (1165) and (181) follows:
% 262.76/206.08 | (3335) op(all_0_34_34, e4) = e0
% 262.76/206.08 |
% 262.76/206.08 | Instantiating formula (97) with all_0_34_34, e4, e0, e1 and discharging atoms op(all_0_34_34, e4) = e0, yields:
% 262.76/206.08 | (3336) e1 = e0 | ~ (op(all_0_34_34, e4) = e1)
% 262.76/206.08 |
% 262.76/206.08 | Instantiating formula (97) with e3, e4, e0, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 262.76/206.08 | (3337) all_0_20_20 = e0 | ~ (op(e3, e4) = e0)
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (126), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (950) all_0_25_25 = e1
% 262.76/206.08 |
% 262.76/206.08 | Combining equations (950,1158) yields a new equation:
% 262.76/206.08 | (480) e4 = e1
% 262.76/206.08 |
% 262.76/206.08 | Equations (480) can reduce 65 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (946) ~ (all_0_25_25 = e1)
% 262.76/206.08 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 262.76/206.08 |
% 262.76/206.08 | Equations (1158) can reduce 946 to:
% 262.76/206.08 | (65) ~ (e4 = e1)
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (206), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (483) all_0_15_15 = e0
% 262.76/206.08 |
% 262.76/206.08 | Combining equations (483,468) yields a new equation:
% 262.76/206.08 | (980) e3 = e0
% 262.76/206.08 |
% 262.76/206.08 | Equations (980) can reduce 88 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (463) ~ (all_0_15_15 = e0)
% 262.76/206.08 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (338), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (892) all_0_28_28 = e4
% 262.76/206.08 |
% 262.76/206.08 | Equations (892) can reduce 890 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (890) ~ (all_0_28_28 = e4)
% 262.76/206.08 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (155), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (759) all_0_30_30 = e3
% 262.76/206.08 |
% 262.76/206.08 | Equations (759) can reduce 568 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (568) ~ (all_0_30_30 = e3)
% 262.76/206.08 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (214), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (797) all_0_35_35 = e2
% 262.76/206.08 |
% 262.76/206.08 | Equations (797) can reduce 96 to:
% 262.76/206.08 | (740) ~ (all_0_30_30 = e2)
% 262.76/206.08 |
% 262.76/206.08 | Equations (797) can reduce 273 to:
% 262.76/206.08 | (755) ~ (all_0_36_36 = e2)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 755 yields:
% 262.76/206.08 | (756) ~ (all_0_36_36 = e2)
% 262.76/206.08 |
% 262.76/206.08 | Equations (797) can reduce 121 to:
% 262.76/206.08 | (654) ~ (all_0_37_37 = e2)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 654 yields:
% 262.76/206.08 | (515) ~ (all_0_37_37 = e2)
% 262.76/206.08 |
% 262.76/206.08 | Equations (797) can reduce 385 to:
% 262.76/206.08 | (347) ~ (e2 = e0)
% 262.76/206.08 |
% 262.76/206.08 | From (797) and (2803) follows:
% 262.76/206.08 | (813) op(e4, e2) = e0
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (29), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (476) all_0_15_15 = e1
% 262.76/206.08 |
% 262.76/206.08 | Combining equations (476,468) yields a new equation:
% 262.76/206.08 | (706) e3 = e1
% 262.76/206.08 |
% 262.76/206.08 | Equations (706) can reduce 318 to:
% 262.76/206.08 | (366) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (482) ~ (all_0_15_15 = e1)
% 262.76/206.08 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (593), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (3370) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)
% 262.76/206.08 |
% 262.76/206.08 | Applying alpha-rule on (3370) yields:
% 262.76/206.08 | (3371) all_0_14_14 = all_0_20_20
% 262.76/206.08 | (1114) ~ (all_0_20_20 = e2)
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (735), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.08 | (820) ~ (op(e4, e2) = e0)
% 262.76/206.08 |
% 262.76/206.08 | Using (813) and (820) yields:
% 262.76/206.08 | (821) $false
% 262.76/206.08 |
% 262.76/206.08 |-The branch is then unsatisfiable
% 262.76/206.08 |-Branch two:
% 262.76/206.08 | (813) op(e4, e2) = e0
% 262.76/206.08 | (823) all_0_17_17 = e0
% 262.76/206.08 |
% 262.76/206.08 | Equations (823) can reduce 169 to:
% 262.76/206.08 | (824) ~ (all_0_16_16 = e0)
% 262.76/206.08 |
% 262.76/206.08 | Equations (823) can reduce 74 to:
% 262.76/206.08 | (3378) ~ (all_0_18_18 = e0)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 3378 yields:
% 262.76/206.08 | (1156) ~ (all_0_18_18 = e0)
% 262.76/206.08 |
% 262.76/206.08 | Equations (823) can reduce 132 to:
% 262.76/206.08 | (3380) ~ (all_0_37_37 = e0)
% 262.76/206.08 |
% 262.76/206.08 | Simplifying 3380 yields:
% 262.76/206.08 | (387) ~ (all_0_37_37 = e0)
% 262.76/206.08 |
% 262.76/206.08 +-Applying beta-rule and splitting (937), into two cases.
% 262.76/206.08 |-Branch one:
% 262.76/206.09 | (1175) all_0_20_20 = e1
% 262.76/206.09 |
% 262.76/206.09 | Equations (1175) can reduce 211 to:
% 262.76/206.09 | (3383) ~ (all_0_22_22 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Simplifying 3383 yields:
% 262.76/206.09 | (1018) ~ (all_0_22_22 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Equations (1175) can reduce 167 to:
% 262.76/206.09 | (1964) ~ (all_0_24_24 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Simplifying 1964 yields:
% 262.76/206.09 | (943) ~ (all_0_24_24 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Equations (1175) can reduce 116 to:
% 262.76/206.09 | (3387) ~ (all_0_30_30 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Simplifying 3387 yields:
% 262.76/206.09 | (422) ~ (all_0_30_30 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Equations (1175) can reduce 496 to:
% 262.76/206.09 | (477) ~ (e4 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Simplifying 477 yields:
% 262.76/206.09 | (65) ~ (e4 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Equations (1175) can reduce 1114 to:
% 262.76/206.09 | (1002) ~ (e2 = e1)
% 262.76/206.09 |
% 262.76/206.09 | Simplifying 1002 yields:
% 262.76/206.09 | (329) ~ (e2 = e1)
% 262.76/206.09 |
% 262.76/206.09 +-Applying beta-rule and splitting (17), into two cases.
% 262.76/206.09 |-Branch one:
% 262.76/206.09 | (1498) all_0_17_17 = e1
% 262.76/206.09 |
% 262.76/206.09 | Combining equations (1498,823) yields a new equation:
% 262.76/206.09 | (960) e1 = e0
% 262.76/206.09 |
% 262.76/206.09 | Simplifying 960 yields:
% 262.76/206.09 | (961) e1 = e0
% 262.76/206.09 |
% 262.76/206.09 | Equations (961) can reduce 37 to:
% 262.76/206.09 | (366) $false
% 262.76/206.09 |
% 262.76/206.09 |-The branch is then unsatisfiable
% 262.76/206.09 |-Branch two:
% 262.76/206.09 | (1501) ~ (all_0_17_17 = e1)
% 262.76/206.09 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.76/206.09 |
% 262.76/206.09 +-Applying beta-rule and splitting (1502), into two cases.
% 262.76/206.09 |-Branch one:
% 262.76/206.09 | (999) all_0_22_22 = e1
% 262.76/206.09 |
% 262.76/206.09 | Equations (999) can reduce 1018 to:
% 262.76/206.09 | (366) $false
% 262.76/206.09 |
% 262.76/206.09 |-The branch is then unsatisfiable
% 262.76/206.09 |-Branch two:
% 262.76/206.09 | (1018) ~ (all_0_22_22 = e1)
% 262.76/206.09 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 262.76/206.09 |
% 262.76/206.09 +-Applying beta-rule and splitting (32), into two cases.
% 262.76/206.09 |-Branch one:
% 262.76/206.09 | (716) all_0_19_19 = e1
% 262.76/206.09 |
% 262.76/206.09 | Combining equations (716,711) yields a new equation:
% 262.76/206.09 | (480) e4 = e1
% 262.76/206.09 |
% 262.76/206.09 | Equations (480) can reduce 65 to:
% 262.76/206.09 | (366) $false
% 262.76/206.09 |
% 262.76/206.09 |-The branch is then unsatisfiable
% 262.76/206.09 |-Branch two:
% 262.76/206.09 | (720) ~ (all_0_19_19 = e1)
% 262.76/206.09 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 262.76/206.09 |
% 262.76/206.09 | Equations (711) can reduce 720 to:
% 262.76/206.09 | (65) ~ (e4 = e1)
% 262.76/206.09 |
% 262.76/206.09 +-Applying beta-rule and splitting (239), into two cases.
% 262.76/206.09 |-Branch one:
% 262.76/206.09 | (768) all_0_30_30 = e4
% 262.76/206.09 |
% 262.76/206.09 | Equations (768) can reduce 509 to:
% 262.76/206.09 | (366) $false
% 262.76/206.09 |
% 262.76/206.09 |-The branch is then unsatisfiable
% 262.76/206.09 |-Branch two:
% 262.76/206.09 | (509) ~ (all_0_30_30 = e4)
% 262.76/206.09 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 262.76/206.09 |
% 262.76/206.09 +-Applying beta-rule and splitting (721), into two cases.
% 262.76/206.09 |-Branch one:
% 262.76/206.09 | (940) all_0_24_24 = e1
% 262.76/206.09 |
% 262.76/206.09 | Equations (940) can reduce 943 to:
% 262.76/206.09 | (366) $false
% 262.76/206.09 |
% 262.76/206.09 |-The branch is then unsatisfiable
% 262.76/206.09 |-Branch two:
% 262.76/206.09 | (943) ~ (all_0_24_24 = e1)
% 262.76/206.09 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 262.76/206.09 |
% 262.76/206.09 +-Applying beta-rule and splitting (771), into two cases.
% 262.76/206.09 |-Branch one:
% 262.76/206.09 | (759) all_0_30_30 = e3
% 262.76/206.09 |
% 262.76/206.09 | Equations (759) can reduce 568 to:
% 262.76/206.09 | (366) $false
% 262.76/206.09 |
% 262.76/206.09 |-The branch is then unsatisfiable
% 262.76/206.09 |-Branch two:
% 262.76/206.09 | (568) ~ (all_0_30_30 = e3)
% 262.76/206.09 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 262.76/206.09 |
% 262.76/206.09 +-Applying beta-rule and splitting (782), into two cases.
% 262.76/206.09 |-Branch one:
% 262.76/206.09 | (747) all_0_30_30 = e2
% 262.76/206.09 |
% 262.76/206.09 | Equations (747) can reduce 740 to:
% 262.76/206.09 | (366) $false
% 262.76/206.09 |
% 262.76/206.09 |-The branch is then unsatisfiable
% 262.76/206.09 |-Branch two:
% 262.76/206.09 | (740) ~ (all_0_30_30 = e2)
% 262.76/206.09 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 262.76/206.09 |
% 262.76/206.09 +-Applying beta-rule and splitting (786), into two cases.
% 262.76/206.09 |-Branch one:
% 263.06/206.09 | (787) all_0_30_30 = e1
% 263.06/206.09 |
% 263.06/206.09 | Equations (787) can reduce 422 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (422) ~ (all_0_30_30 = e1)
% 263.06/206.09 | (790) all_0_30_30 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (790) can reduce 217 to:
% 263.06/206.09 | (1856) ~ (all_0_31_31 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 1856 yields:
% 263.06/206.09 | (1064) ~ (all_0_31_31 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Equations (790) can reduce 509 to:
% 263.06/206.09 | (389) ~ (e4 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 389 yields:
% 263.06/206.09 | (287) ~ (e4 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Equations (790) can reduce 422 to:
% 263.06/206.09 | (395) ~ (e1 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 395 yields:
% 263.06/206.09 | (37) ~ (e1 = e0)
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (279), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (873) all_0_16_16 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (873) can reduce 824 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (824) ~ (all_0_16_16 = e0)
% 263.06/206.09 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (876), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (529) all_0_21_21 = e0
% 263.06/206.09 |
% 263.06/206.09 | Combining equations (449,529) yields a new equation:
% 263.06/206.09 | (842) e4 = e0
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 842 yields:
% 263.06/206.09 | (490) e4 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (490) can reduce 287 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (398) ~ (all_0_21_21 = e0)
% 263.06/206.09 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (135), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (835) all_0_20_20 = e0
% 263.06/206.09 |
% 263.06/206.09 | Combining equations (1175,835) yields a new equation:
% 263.06/206.09 | (960) e1 = e0
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 960 yields:
% 263.06/206.09 | (961) e1 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (961) can reduce 37 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (839) ~ (all_0_20_20 = e0)
% 263.06/206.09 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (1175) can reduce 839 to:
% 263.06/206.09 | (37) ~ (e1 = e0)
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (882), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (883) all_0_26_26 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (883) can reduce 46 to:
% 263.06/206.09 | (885) ~ (all_0_28_28 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 885 yields:
% 263.06/206.09 | (886) ~ (all_0_28_28 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Equations (883) can reduce 38 to:
% 263.06/206.09 | (3455) ~ (all_0_29_29 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 3455 yields:
% 263.06/206.09 | (383) ~ (all_0_29_29 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Equations (883) can reduce 170 to:
% 263.06/206.09 | (3457) ~ (all_0_36_36 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 3457 yields:
% 263.06/206.09 | (386) ~ (all_0_36_36 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Equations (883) can reduce 582 to:
% 263.06/206.09 | (389) ~ (e4 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 389 yields:
% 263.06/206.09 | (287) ~ (e4 = e0)
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (895), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (896) all_0_28_28 = e3
% 263.06/206.09 |
% 263.06/206.09 | Equations (896) can reduce 86 to:
% 263.06/206.09 | (982) ~ (all_0_23_23 = e3)
% 263.06/206.09 |
% 263.06/206.09 | Equations (896) can reduce 886 to:
% 263.06/206.09 | (88) ~ (e3 = e0)
% 263.06/206.09 |
% 263.06/206.09 | From (896) and (3302) follows:
% 263.06/206.09 | (1171) op(e3, e4) = e1
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (185), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (1153) all_0_18_18 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (1153) can reduce 1156 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (1156) ~ (all_0_18_18 = e0)
% 263.06/206.09 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (1157), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (851) all_0_23_23 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (851) can reduce 346 to:
% 263.06/206.09 | (826) ~ (all_0_22_22 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Equations (851) can reduce 982 to:
% 263.06/206.09 | (391) ~ (e3 = e0)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 391 yields:
% 263.06/206.09 | (88) ~ (e3 = e0)
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (1566), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (543) all_0_27_27 = e1
% 263.06/206.09 |
% 263.06/206.09 | Combining equations (443,543) yields a new equation:
% 263.06/206.09 | (717) e2 = e1
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 717 yields:
% 263.06/206.09 | (718) e2 = e1
% 263.06/206.09 |
% 263.06/206.09 | Equations (718) can reduce 329 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (402) ~ (all_0_27_27 = e1)
% 263.06/206.09 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (1586), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (1587) all_0_32_32 = e1
% 263.06/206.09 |
% 263.06/206.09 | Combining equations (1229,1587) yields a new equation:
% 263.06/206.09 | (955) e4 = e1
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 955 yields:
% 263.06/206.09 | (480) e4 = e1
% 263.06/206.09 |
% 263.06/206.09 | Equations (480) can reduce 65 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (424) ~ (all_0_32_32 = e1)
% 263.06/206.09 | (1590) all_0_37_37 = e1
% 263.06/206.09 |
% 263.06/206.09 | Equations (1590) can reduce 202 to:
% 263.06/206.09 | (1018) ~ (all_0_22_22 = e1)
% 263.06/206.09 |
% 263.06/206.09 | Equations (1590) can reduce 183 to:
% 263.06/206.09 | (1593) ~ (all_0_36_36 = e1)
% 263.06/206.09 |
% 263.06/206.09 | Equations (1590) can reduce 387 to:
% 263.06/206.09 | (37) ~ (e1 = e0)
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (232), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (1970) all_0_17_17 = e3
% 263.06/206.09 |
% 263.06/206.09 | Combining equations (1970,823) yields a new equation:
% 263.06/206.09 | (979) e3 = e0
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 979 yields:
% 263.06/206.09 | (980) e3 = e0
% 263.06/206.09 |
% 263.06/206.09 | Equations (980) can reduce 88 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (558) ~ (all_0_17_17 = e3)
% 263.06/206.09 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (944), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (945) all_0_29_29 = e1
% 263.06/206.09 |
% 263.06/206.09 | Equations (945) can reduce 383 to:
% 263.06/206.09 | (37) ~ (e1 = e0)
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (187), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (2611) all_0_36_36 = e4
% 263.06/206.09 |
% 263.06/206.09 | Equations (2611) can reduce 586 to:
% 263.06/206.09 | (366) $false
% 263.06/206.09 |
% 263.06/206.09 |-The branch is then unsatisfiable
% 263.06/206.09 |-Branch two:
% 263.06/206.09 | (586) ~ (all_0_36_36 = e4)
% 263.06/206.09 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (2614), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (818) all_0_36_36 = e3
% 263.06/206.09 |
% 263.06/206.09 | Equations (818) can reduce 586 to:
% 263.06/206.09 | (695) ~ (e4 = e3)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 695 yields:
% 263.06/206.09 | (277) ~ (e4 = e3)
% 263.06/206.09 |
% 263.06/206.09 | Equations (818) can reduce 756 to:
% 263.06/206.09 | (56) ~ (e3 = e2)
% 263.06/206.09 |
% 263.06/206.09 | Equations (818) can reduce 1593 to:
% 263.06/206.09 | (318) ~ (e3 = e1)
% 263.06/206.09 |
% 263.06/206.09 +-Applying beta-rule and splitting (1973), into two cases.
% 263.06/206.09 |-Branch one:
% 263.06/206.09 | (857) all_0_22_22 = e3
% 263.06/206.09 |
% 263.06/206.09 | Equations (857) can reduce 268 to:
% 263.06/206.09 | (3506) ~ (all_0_24_24 = e3)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 3506 yields:
% 263.06/206.09 | (963) ~ (all_0_24_24 = e3)
% 263.06/206.09 |
% 263.06/206.09 | Equations (857) can reduce 576 to:
% 263.06/206.09 | (695) ~ (e4 = e3)
% 263.06/206.09 |
% 263.06/206.09 | Simplifying 695 yields:
% 263.06/206.09 | (277) ~ (e4 = e3)
% 263.06/206.10 |
% 263.06/206.10 | Equations (857) can reduce 1018 to:
% 263.06/206.10 | (318) ~ (e3 = e1)
% 263.06/206.10 |
% 263.06/206.10 | Equations (857) can reduce 826 to:
% 263.06/206.10 | (88) ~ (e3 = e0)
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (230), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (927) all_0_19_19 = e3
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (927,711) yields a new equation:
% 263.06/206.10 | (691) e4 = e3
% 263.06/206.10 |
% 263.06/206.10 | Equations (691) can reduce 277 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (562) ~ (all_0_19_19 = e3)
% 263.06/206.10 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (931), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (939) all_0_24_24 = e3
% 263.06/206.10 |
% 263.06/206.10 | Equations (939) can reduce 963 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (963) ~ (all_0_24_24 = e3)
% 263.06/206.10 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (964), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1023) all_0_29_29 = e3
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (945,1023) yields a new equation:
% 263.06/206.10 | (706) e3 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (706) can reduce 318 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (898) ~ (all_0_29_29 = e3)
% 263.06/206.10 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1026), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1027) all_0_34_34 = e3
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (3336), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (3527) ~ (op(all_0_34_34, e4) = e1)
% 263.06/206.10 |
% 263.06/206.10 | From (1027) and (3527) follows:
% 263.06/206.10 | (1172) ~ (op(e3, e4) = e1)
% 263.06/206.10 |
% 263.06/206.10 | Using (1171) and (1172) yields:
% 263.06/206.10 | (821) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (3530) op(all_0_34_34, e4) = e1
% 263.06/206.10 | (961) e1 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (961) can reduce 37 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (1031) ~ (all_0_34_34 = e3)
% 263.06/206.10 | (369) all_0_39_39 = e3
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (380,369) yields a new equation:
% 263.06/206.10 | (980) e3 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (980) can reduce 88 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (774) ~ (all_0_22_22 = e3)
% 263.06/206.10 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (125), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (903) all_0_20_20 = e3
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (1175,903) yields a new equation:
% 263.06/206.10 | (706) e3 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (706) can reduce 318 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (564) ~ (all_0_20_20 = e3)
% 263.06/206.10 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 263.06/206.10 |
% 263.06/206.10 | Equations (1175) can reduce 564 to:
% 263.06/206.10 | (429) ~ (e3 = e1)
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 429 yields:
% 263.06/206.10 | (318) ~ (e3 = e1)
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (3115), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (439) all_0_27_27 = e3
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (443,439) yields a new equation:
% 263.06/206.10 | (764) e3 = e2
% 263.06/206.10 |
% 263.06/206.10 | Equations (764) can reduce 56 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (400) ~ (all_0_27_27 = e3)
% 263.06/206.10 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (907), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (453) all_0_21_21 = e3
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (449,453) yields a new equation:
% 263.06/206.10 | (690) e4 = e3
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 690 yields:
% 263.06/206.10 | (691) e4 = e3
% 263.06/206.10 |
% 263.06/206.10 | Equations (691) can reduce 277 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (494) ~ (all_0_21_21 = e3)
% 263.06/206.10 | (973) all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 263.06/206.10 |
% 263.06/206.10 | Equations (449) can reduce 494 to:
% 263.06/206.10 | (277) ~ (e4 = e3)
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (3120), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (772) all_0_32_32 = e3
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (1229,772) yields a new equation:
% 263.06/206.10 | (690) e4 = e3
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 690 yields:
% 263.06/206.10 | (691) e4 = e3
% 263.06/206.10 |
% 263.06/206.10 | Equations (691) can reduce 277 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (1089) ~ (all_0_32_32 = e3)
% 263.06/206.10 | (1073) all_0_37_37 = e3
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (1590,1073) yields a new equation:
% 263.06/206.10 | (706) e3 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (706) can reduce 318 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (516) ~ (all_0_36_36 = e3)
% 263.06/206.10 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (3567), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (801) all_0_36_36 = e2
% 263.06/206.10 |
% 263.06/206.10 | Equations (801) can reduce 756 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (756) ~ (all_0_36_36 = e2)
% 263.06/206.10 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (3571), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1015) all_0_36_36 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (1015) can reduce 1593 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (1593) ~ (all_0_36_36 = e1)
% 263.06/206.10 | (1065) all_0_36_36 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (1065) can reduce 386 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (952) ~ (all_0_29_29 = e1)
% 263.06/206.10 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (953), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (954) all_0_34_34 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (954) can reduce 426 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (426) ~ (all_0_34_34 = e1)
% 263.06/206.10 | (377) all_0_39_39 = e1
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (377,380) yields a new equation:
% 263.06/206.10 | (960) e1 = e0
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 960 yields:
% 263.06/206.10 | (961) e1 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (961) can reduce 37 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (1068) ~ (all_0_23_23 = e0)
% 263.06/206.10 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1228), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1044) all_0_28_28 = e0
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (896,1044) yields a new equation:
% 263.06/206.10 | (979) e3 = e0
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 979 yields:
% 263.06/206.10 | (980) e3 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (980) can reduce 88 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (886) ~ (all_0_28_28 = e0)
% 263.06/206.10 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1253), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1254) all_0_33_33 = e0
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (418,1254) yields a new equation:
% 263.06/206.10 | (960) e1 = e0
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 960 yields:
% 263.06/206.10 | (961) e1 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (961) can reduce 37 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (399) ~ (all_0_33_33 = e0)
% 263.06/206.10 | (1214) all_0_38_38 = e0
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (1165,1214) yields a new equation:
% 263.06/206.10 | (842) e4 = e0
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 842 yields:
% 263.06/206.10 | (490) e4 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (490) can reduce 287 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (1035) ~ (all_0_28_28 = e3)
% 263.06/206.10 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1566), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (543) all_0_27_27 = e1
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (443,543) yields a new equation:
% 263.06/206.10 | (717) e2 = e1
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 717 yields:
% 263.06/206.10 | (718) e2 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (718) can reduce 329 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (402) ~ (all_0_27_27 = e1)
% 263.06/206.10 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1586), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1587) all_0_32_32 = e1
% 263.06/206.10 |
% 263.06/206.10 | Combining equations (1229,1587) yields a new equation:
% 263.06/206.10 | (955) e4 = e1
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 955 yields:
% 263.06/206.10 | (480) e4 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (480) can reduce 65 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (424) ~ (all_0_32_32 = e1)
% 263.06/206.10 | (1590) all_0_37_37 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (1590) can reduce 387 to:
% 263.06/206.10 | (37) ~ (e1 = e0)
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (185), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1153) all_0_18_18 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (1153) can reduce 1156 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (1156) ~ (all_0_18_18 = e0)
% 263.06/206.10 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1157), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (851) all_0_23_23 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (851) can reduce 86 to:
% 263.06/206.10 | (885) ~ (all_0_28_28 = e0)
% 263.06/206.10 |
% 263.06/206.10 | Simplifying 885 yields:
% 263.06/206.10 | (886) ~ (all_0_28_28 = e0)
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1036), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1037) all_0_28_28 = e2
% 263.06/206.10 |
% 263.06/206.10 | Equations (1037) can reduce 649 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (649) ~ (all_0_28_28 = e2)
% 263.06/206.10 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1040), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1041) all_0_28_28 = e1
% 263.06/206.10 |
% 263.06/206.10 | Equations (1041) can reduce 421 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (421) ~ (all_0_28_28 = e1)
% 263.06/206.10 | (1044) all_0_28_28 = e0
% 263.06/206.10 |
% 263.06/206.10 | Equations (1044) can reduce 886 to:
% 263.06/206.10 | (366) $false
% 263.06/206.10 |
% 263.06/206.10 |-The branch is then unsatisfiable
% 263.06/206.10 |-Branch two:
% 263.06/206.10 | (1068) ~ (all_0_23_23 = e0)
% 263.06/206.10 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.10 |
% 263.06/206.10 +-Applying beta-rule and splitting (1228), into two cases.
% 263.06/206.10 |-Branch one:
% 263.06/206.10 | (1044) all_0_28_28 = e0
% 263.06/206.10 |
% 263.06/206.11 | Equations (1044) can reduce 886 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (886) ~ (all_0_28_28 = e0)
% 263.06/206.11 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1253), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (1254) all_0_33_33 = e0
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (418,1254) yields a new equation:
% 263.06/206.11 | (960) e1 = e0
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 960 yields:
% 263.06/206.11 | (961) e1 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (961) can reduce 37 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (399) ~ (all_0_33_33 = e0)
% 263.06/206.11 | (1214) all_0_38_38 = e0
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (1214,1165) yields a new equation:
% 263.06/206.11 | (490) e4 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (490) can reduce 287 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (1058) ~ (all_0_26_26 = e0)
% 263.06/206.11 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1059), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (1060) all_0_31_31 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (1060) can reduce 1064 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (1064) ~ (all_0_31_31 = e0)
% 263.06/206.11 | (1065) all_0_36_36 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (1065) can reduce 386 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (1409) ~ (all_0_20_20 = e1)
% 263.06/206.11 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1656), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (950) all_0_25_25 = e1
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (1158,950) yields a new equation:
% 263.06/206.11 | (955) e4 = e1
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 955 yields:
% 263.06/206.11 | (480) e4 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (480) can reduce 65 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (946) ~ (all_0_25_25 = e1)
% 263.06/206.11 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (16), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (1196) all_0_35_35 = e1
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (797,1196) yields a new equation:
% 263.06/206.11 | (717) e2 = e1
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 717 yields:
% 263.06/206.11 | (718) e2 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (718) can reduce 329 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (1177) ~ (all_0_35_35 = e1)
% 263.06/206.11 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (797) can reduce 1177 to:
% 263.06/206.11 | (329) ~ (e2 = e1)
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1676), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (787) all_0_30_30 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (787) can reduce 422 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (422) ~ (all_0_30_30 = e1)
% 263.06/206.11 | (1196) all_0_35_35 = e1
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (797,1196) yields a new equation:
% 263.06/206.11 | (717) e2 = e1
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 717 yields:
% 263.06/206.11 | (718) e2 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (718) can reduce 329 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (3677) all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13))
% 263.06/206.11 |
% 263.06/206.11 | Applying alpha-rule on (3677) yields:
% 263.06/206.11 | (3371) all_0_14_14 = all_0_20_20
% 263.06/206.11 | (3679) ( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (937), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (1175) all_0_20_20 = e1
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (1175,3371) yields a new equation:
% 263.06/206.11 | (3681) all_0_14_14 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (1175) can reduce 211 to:
% 263.06/206.11 | (3383) ~ (all_0_22_22 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 3383 yields:
% 263.06/206.11 | (1018) ~ (all_0_22_22 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Equations (1175) can reduce 272 to:
% 263.06/206.11 | (3684) ~ (all_0_23_23 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 3684 yields:
% 263.06/206.11 | (420) ~ (all_0_23_23 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Equations (1175) can reduce 167 to:
% 263.06/206.11 | (1964) ~ (all_0_24_24 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 1964 yields:
% 263.06/206.11 | (943) ~ (all_0_24_24 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Equations (1175) can reduce 116 to:
% 263.06/206.11 | (3387) ~ (all_0_30_30 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 3387 yields:
% 263.06/206.11 | (422) ~ (all_0_30_30 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Equations (1175) can reduce 496 to:
% 263.06/206.11 | (477) ~ (e4 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 477 yields:
% 263.06/206.11 | (65) ~ (e4 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Equations (1175) can reduce 564 to:
% 263.06/206.11 | (429) ~ (e3 = e1)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 429 yields:
% 263.06/206.11 | (318) ~ (e3 = e1)
% 263.06/206.11 |
% 263.06/206.11 | From (1175) and (274) follows:
% 263.06/206.11 | (1171) op(e3, e4) = e1
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1889), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (835) all_0_20_20 = e0
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (835,1175) yields a new equation:
% 263.06/206.11 | (961) e1 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (961) can reduce 37 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (839) ~ (all_0_20_20 = e0)
% 263.06/206.11 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (32), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (716) all_0_19_19 = e1
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (716,711) yields a new equation:
% 263.06/206.11 | (480) e4 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (480) can reduce 65 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (720) ~ (all_0_19_19 = e1)
% 263.06/206.11 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1920), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (1921) all_0_25_25 = e0
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (1158,1921) yields a new equation:
% 263.06/206.11 | (842) e4 = e0
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 842 yields:
% 263.06/206.11 | (490) e4 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (490) can reduce 287 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (1925) ~ (all_0_25_25 = e0)
% 263.06/206.11 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1938), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (790) all_0_30_30 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (790) can reduce 217 to:
% 263.06/206.11 | (1856) ~ (all_0_31_31 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 1856 yields:
% 263.06/206.11 | (1064) ~ (all_0_31_31 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Equations (790) can reduce 15 to:
% 263.06/206.11 | (2963) ~ (all_0_34_34 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 2963 yields:
% 263.06/206.11 | (384) ~ (all_0_34_34 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Equations (790) can reduce 422 to:
% 263.06/206.11 | (395) ~ (e1 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 395 yields:
% 263.06/206.11 | (37) ~ (e1 = e0)
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (735), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (820) ~ (op(e4, e2) = e0)
% 263.06/206.11 |
% 263.06/206.11 | Using (813) and (820) yields:
% 263.06/206.11 | (821) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (813) op(e4, e2) = e0
% 263.06/206.11 | (823) all_0_17_17 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (823) can reduce 169 to:
% 263.06/206.11 | (824) ~ (all_0_16_16 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Equations (823) can reduce 74 to:
% 263.06/206.11 | (3378) ~ (all_0_18_18 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 3378 yields:
% 263.06/206.11 | (1156) ~ (all_0_18_18 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Equations (823) can reduce 184 to:
% 263.06/206.11 | (825) ~ (all_0_22_22 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 825 yields:
% 263.06/206.11 | (826) ~ (all_0_22_22 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Equations (823) can reduce 132 to:
% 263.06/206.11 | (3380) ~ (all_0_37_37 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 3380 yields:
% 263.06/206.11 | (387) ~ (all_0_37_37 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Equations (823) can reduce 869 to:
% 263.06/206.11 | (389) ~ (e4 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 389 yields:
% 263.06/206.11 | (287) ~ (e4 = e0)
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (153), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (831) all_0_22_22 = e4
% 263.06/206.11 |
% 263.06/206.11 | Equations (831) can reduce 576 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (576) ~ (all_0_22_22 = e4)
% 263.06/206.11 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (17), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (1498) all_0_17_17 = e1
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (1498,823) yields a new equation:
% 263.06/206.11 | (960) e1 = e0
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 960 yields:
% 263.06/206.11 | (961) e1 = e0
% 263.06/206.11 |
% 263.06/206.11 | Equations (961) can reduce 37 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (1501) ~ (all_0_17_17 = e1)
% 263.06/206.11 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (823) can reduce 1501 to:
% 263.06/206.11 | (395) ~ (e1 = e0)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 395 yields:
% 263.06/206.11 | (37) ~ (e1 = e0)
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (26), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (887) all_0_18_18 = e4
% 263.06/206.11 |
% 263.06/206.11 | Equations (887) can reduce 1046 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (1046) ~ (all_0_18_18 = e4)
% 263.06/206.11 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1047), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (1134) all_0_18_18 = e3
% 263.06/206.11 |
% 263.06/206.11 | Equations (1134) can reduce 560 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (560) ~ (all_0_18_18 = e3)
% 263.06/206.11 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (323), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (476) all_0_15_15 = e1
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (468,476) yields a new equation:
% 263.06/206.11 | (933) e3 = e1
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 933 yields:
% 263.06/206.11 | (706) e3 = e1
% 263.06/206.11 |
% 263.06/206.11 | Equations (706) can reduce 318 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (482) ~ (all_0_15_15 = e1)
% 263.06/206.11 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (1270), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (1274) all_0_18_18 = e2
% 263.06/206.11 |
% 263.06/206.11 | Equations (1274) can reduce 9 to:
% 263.06/206.11 | (664) ~ (all_0_16_16 = e2)
% 263.06/206.11 |
% 263.06/206.11 | Equations (1274) can reduce 1046 to:
% 263.06/206.11 | (444) ~ (e4 = e2)
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 444 yields:
% 263.06/206.11 | (19) ~ (e4 = e2)
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (340), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (697) all_0_16_16 = e2
% 263.06/206.11 |
% 263.06/206.11 | Equations (697) can reduce 664 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (664) ~ (all_0_16_16 = e2)
% 263.06/206.11 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (700), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.11 | (522) all_0_21_21 = e2
% 263.06/206.11 |
% 263.06/206.11 | Combining equations (449,522) yields a new equation:
% 263.06/206.11 | (1111) e4 = e2
% 263.06/206.11 |
% 263.06/206.11 | Simplifying 1111 yields:
% 263.06/206.11 | (539) e4 = e2
% 263.06/206.11 |
% 263.06/206.11 | Equations (539) can reduce 19 to:
% 263.06/206.11 | (366) $false
% 263.06/206.11 |
% 263.06/206.11 |-The branch is then unsatisfiable
% 263.06/206.11 |-Branch two:
% 263.06/206.11 | (361) ~ (all_0_21_21 = e2)
% 263.06/206.11 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 263.06/206.11 |
% 263.06/206.11 +-Applying beta-rule and splitting (2289), into two cases.
% 263.06/206.11 |-Branch one:
% 263.06/206.12 | (2380) all_0_26_26 = e2
% 263.06/206.12 |
% 263.06/206.12 | Equations (2380) can reduce 647 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (647) ~ (all_0_26_26 = e2)
% 263.06/206.12 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (2383), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (751) all_0_31_31 = e2
% 263.06/206.12 |
% 263.06/206.12 | Equations (751) can reduce 145 to:
% 263.06/206.12 | (647) ~ (all_0_26_26 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Equations (751) can reduce 188 to:
% 263.06/206.12 | (671) ~ (all_0_34_34 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 671 yields:
% 263.06/206.12 | (672) ~ (all_0_34_34 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Equations (751) can reduce 1064 to:
% 263.06/206.12 | (347) ~ (e2 = e0)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (135), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (835) all_0_20_20 = e0
% 263.06/206.12 |
% 263.06/206.12 | Combining equations (1175,835) yields a new equation:
% 263.06/206.12 | (960) e1 = e0
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 960 yields:
% 263.06/206.12 | (961) e1 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (961) can reduce 37 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (839) ~ (all_0_20_20 = e0)
% 263.06/206.12 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (721), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (940) all_0_24_24 = e1
% 263.06/206.12 |
% 263.06/206.12 | Equations (940) can reduce 943 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (943) ~ (all_0_24_24 = e1)
% 263.06/206.12 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (1502), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (999) all_0_22_22 = e1
% 263.06/206.12 |
% 263.06/206.12 | Equations (999) can reduce 1018 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (1018) ~ (all_0_22_22 = e1)
% 263.06/206.12 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (709), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (921) all_0_16_16 = e1
% 263.06/206.12 |
% 263.06/206.12 | Equations (921) can reduce 824 to:
% 263.06/206.12 | (37) ~ (e1 = e0)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (944), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (945) all_0_29_29 = e1
% 263.06/206.12 |
% 263.06/206.12 | Equations (945) can reduce 41 to:
% 263.06/206.12 | (425) ~ (all_0_34_34 = e1)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 425 yields:
% 263.06/206.12 | (426) ~ (all_0_34_34 = e1)
% 263.06/206.12 |
% 263.06/206.12 | Equations (945) can reduce 383 to:
% 263.06/206.12 | (37) ~ (e1 = e0)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (83), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (723) all_0_34_34 = e4
% 263.06/206.12 |
% 263.06/206.12 | Equations (723) can reduce 1395 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (1395) ~ (all_0_34_34 = e4)
% 263.06/206.12 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (1396), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1027) all_0_34_34 = e3
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (3336), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (3527) ~ (op(all_0_34_34, e4) = e1)
% 263.06/206.12 |
% 263.06/206.12 | From (1027) and (3527) follows:
% 263.06/206.12 | (1172) ~ (op(e3, e4) = e1)
% 263.06/206.12 |
% 263.06/206.12 | Using (1171) and (1172) yields:
% 263.06/206.12 | (821) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (3530) op(all_0_34_34, e4) = e1
% 263.06/206.12 | (961) e1 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (961) can reduce 37 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (1031) ~ (all_0_34_34 = e3)
% 263.06/206.12 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (1709), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1110) all_0_34_34 = e2
% 263.06/206.12 |
% 263.06/206.12 | Equations (1110) can reduce 672 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (672) ~ (all_0_34_34 = e2)
% 263.06/206.12 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (1713), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (954) all_0_34_34 = e1
% 263.06/206.12 |
% 263.06/206.12 | Equations (954) can reduce 426 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (426) ~ (all_0_34_34 = e1)
% 263.06/206.12 | (1717) all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (1717) can reduce 384 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (952) ~ (all_0_29_29 = e1)
% 263.06/206.12 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (83), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (723) all_0_34_34 = e4
% 263.06/206.12 |
% 263.06/206.12 | Equations (723) can reduce 1395 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (1395) ~ (all_0_34_34 = e4)
% 263.06/206.12 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (1396), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1027) all_0_34_34 = e3
% 263.06/206.12 |
% 263.06/206.12 | Equations (1027) can reduce 426 to:
% 263.06/206.12 | (318) ~ (e3 = e1)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (953), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (954) all_0_34_34 = e1
% 263.06/206.12 |
% 263.06/206.12 | Combining equations (954,1027) yields a new equation:
% 263.06/206.12 | (706) e3 = e1
% 263.06/206.12 |
% 263.06/206.12 | Equations (706) can reduce 318 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (426) ~ (all_0_34_34 = e1)
% 263.06/206.12 | (377) all_0_39_39 = e1
% 263.06/206.12 |
% 263.06/206.12 | Combining equations (377,380) yields a new equation:
% 263.06/206.12 | (960) e1 = e0
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 960 yields:
% 263.06/206.12 | (961) e1 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (961) can reduce 37 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (1031) ~ (all_0_34_34 = e3)
% 263.06/206.12 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (1709), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1110) all_0_34_34 = e2
% 263.06/206.12 |
% 263.06/206.12 | Equations (1110) can reduce 672 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (672) ~ (all_0_34_34 = e2)
% 263.06/206.12 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (1713), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (954) all_0_34_34 = e1
% 263.06/206.12 |
% 263.06/206.12 | Equations (954) can reduce 426 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (426) ~ (all_0_34_34 = e1)
% 263.06/206.12 | (1717) all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (1717) can reduce 384 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (985) ~ (all_0_16_16 = e1)
% 263.06/206.12 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (83), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (723) all_0_34_34 = e4
% 263.06/206.12 |
% 263.06/206.12 | Equations (723) can reduce 1395 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (1395) ~ (all_0_34_34 = e4)
% 263.06/206.12 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (2786), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1393) all_0_24_24 = e2
% 263.06/206.12 |
% 263.06/206.12 | Equations (1393) can reduce 268 to:
% 263.06/206.12 | (493) ~ (all_0_22_22 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Equations (1393) can reduce 118 to:
% 263.06/206.12 | (810) ~ (all_0_23_23 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Equations (1393) can reduce 85 to:
% 263.06/206.12 | (650) ~ (all_0_29_29 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 650 yields:
% 263.06/206.12 | (651) ~ (all_0_29_29 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Equations (1393) can reduce 4 to:
% 263.06/206.12 | (671) ~ (all_0_34_34 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 671 yields:
% 263.06/206.12 | (672) ~ (all_0_34_34 = e2)
% 263.06/206.12 |
% 263.06/206.12 | Equations (1393) can reduce 382 to:
% 263.06/206.12 | (347) ~ (e2 = e0)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (834), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (857) all_0_22_22 = e3
% 263.06/206.12 |
% 263.06/206.12 | Equations (857) can reduce 346 to:
% 263.06/206.12 | (3066) ~ (all_0_23_23 = e3)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 3066 yields:
% 263.06/206.12 | (982) ~ (all_0_23_23 = e3)
% 263.06/206.12 |
% 263.06/206.12 | Equations (857) can reduce 202 to:
% 263.06/206.12 | (776) ~ (all_0_37_37 = e3)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 776 yields:
% 263.06/206.12 | (777) ~ (all_0_37_37 = e3)
% 263.06/206.12 |
% 263.06/206.12 | Equations (857) can reduce 493 to:
% 263.06/206.12 | (56) ~ (e3 = e2)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (271), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1232) all_0_37_37 = e4
% 263.06/206.12 |
% 263.06/206.12 | Equations (1232) can reduce 2658 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (2658) ~ (all_0_37_37 = e4)
% 263.06/206.12 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (269), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1134) all_0_18_18 = e3
% 263.06/206.12 |
% 263.06/206.12 | Combining equations (1134,1274) yields a new equation:
% 263.06/206.12 | (3874) e3 = e2
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 3874 yields:
% 263.06/206.12 | (764) e3 = e2
% 263.06/206.12 |
% 263.06/206.12 | Equations (764) can reduce 56 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (560) ~ (all_0_18_18 = e3)
% 263.06/206.12 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (279), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (873) all_0_16_16 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (873) can reduce 824 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (824) ~ (all_0_16_16 = e0)
% 263.06/206.12 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (3872), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1073) all_0_37_37 = e3
% 263.06/206.12 |
% 263.06/206.12 | Equations (1073) can reduce 777 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (777) ~ (all_0_37_37 = e3)
% 263.06/206.12 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (3886), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (805) all_0_37_37 = e2
% 263.06/206.12 |
% 263.06/206.12 | Equations (805) can reduce 515 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (515) ~ (all_0_37_37 = e2)
% 263.06/206.12 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (3890), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1590) all_0_37_37 = e1
% 263.06/206.12 |
% 263.06/206.12 | Equations (1590) can reduce 183 to:
% 263.06/206.12 | (1593) ~ (all_0_36_36 = e1)
% 263.06/206.12 |
% 263.06/206.12 | Equations (1590) can reduce 2658 to:
% 263.06/206.12 | (477) ~ (e4 = e1)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 477 yields:
% 263.06/206.12 | (65) ~ (e4 = e1)
% 263.06/206.12 |
% 263.06/206.12 | Equations (1590) can reduce 515 to:
% 263.06/206.12 | (1002) ~ (e2 = e1)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 1002 yields:
% 263.06/206.12 | (329) ~ (e2 = e1)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (1396), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1027) all_0_34_34 = e3
% 263.06/206.12 |
% 263.06/206.12 | Equations (1027) can reduce 1395 to:
% 263.06/206.12 | (695) ~ (e4 = e3)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 695 yields:
% 263.06/206.12 | (277) ~ (e4 = e3)
% 263.06/206.12 |
% 263.06/206.12 | Equations (1027) can reduce 426 to:
% 263.06/206.12 | (318) ~ (e3 = e1)
% 263.06/206.12 |
% 263.06/206.12 | Equations (1027) can reduce 384 to:
% 263.06/206.12 | (88) ~ (e3 = e0)
% 263.06/206.12 |
% 263.06/206.12 | From (1027) and (3335) follows:
% 263.06/206.12 | (3902) op(e3, e4) = e0
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (876), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (529) all_0_21_21 = e0
% 263.06/206.12 |
% 263.06/206.12 | Combining equations (529,449) yields a new equation:
% 263.06/206.12 | (490) e4 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (490) can reduce 287 to:
% 263.06/206.12 | (366) $false
% 263.06/206.12 |
% 263.06/206.12 |-The branch is then unsatisfiable
% 263.06/206.12 |-Branch two:
% 263.06/206.12 | (398) ~ (all_0_21_21 = e0)
% 263.06/206.12 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (449) can reduce 398 to:
% 263.06/206.12 | (287) ~ (e4 = e0)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (882), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (883) all_0_26_26 = e0
% 263.06/206.12 |
% 263.06/206.12 | Equations (883) can reduce 647 to:
% 263.06/206.12 | (393) ~ (e2 = e0)
% 263.06/206.12 |
% 263.06/206.12 | Simplifying 393 yields:
% 263.06/206.12 | (347) ~ (e2 = e0)
% 263.06/206.12 |
% 263.06/206.12 +-Applying beta-rule and splitting (185), into two cases.
% 263.06/206.12 |-Branch one:
% 263.06/206.12 | (1153) all_0_18_18 = e0
% 263.06/206.12 |
% 263.06/206.12 | Combining equations (1153,1274) yields a new equation:
% 263.06/206.12 | (551) e2 = e0
% 263.06/206.12 |
% 263.06/206.13 | Equations (551) can reduce 347 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (1156) ~ (all_0_18_18 = e0)
% 263.06/206.13 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (1157), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (851) all_0_23_23 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (851) can reduce 420 to:
% 263.06/206.13 | (395) ~ (e1 = e0)
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 395 yields:
% 263.06/206.13 | (37) ~ (e1 = e0)
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (609), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (3920) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)
% 263.06/206.13 |
% 263.06/206.13 | Applying alpha-rule on (3920) yields:
% 263.06/206.13 | (3371) all_0_14_14 = all_0_20_20
% 263.06/206.13 | (1409) ~ (all_0_20_20 = e1)
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (3371,3681) yields a new equation:
% 263.06/206.13 | (3923) all_0_20_20 = e1
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 3923 yields:
% 263.06/206.13 | (1175) all_0_20_20 = e1
% 263.06/206.13 |
% 263.06/206.13 | Equations (1175) can reduce 1409 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (3926) all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13))
% 263.06/206.13 |
% 263.06/206.13 | Applying alpha-rule on (3926) yields:
% 263.06/206.13 | (3371) all_0_14_14 = all_0_20_20
% 263.06/206.13 | (3928) ( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (3371,3681) yields a new equation:
% 263.06/206.13 | (3923) all_0_20_20 = e1
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 3923 yields:
% 263.06/206.13 | (1175) all_0_20_20 = e1
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (3337), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (3931) ~ (op(e3, e4) = e0)
% 263.06/206.13 |
% 263.06/206.13 | Using (3902) and (3931) yields:
% 263.06/206.13 | (821) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (3902) op(e3, e4) = e0
% 263.06/206.13 | (835) all_0_20_20 = e0
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (1175,835) yields a new equation:
% 263.06/206.13 | (960) e1 = e0
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 960 yields:
% 263.06/206.13 | (961) e1 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (961) can reduce 37 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (1068) ~ (all_0_23_23 = e0)
% 263.06/206.13 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (137), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (1515) all_0_23_23 = e4
% 263.06/206.13 |
% 263.06/206.13 | Equations (1515) can reduce 578 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (578) ~ (all_0_23_23 = e4)
% 263.06/206.13 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (3943), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (978) all_0_23_23 = e3
% 263.06/206.13 |
% 263.06/206.13 | Equations (978) can reduce 982 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (982) ~ (all_0_23_23 = e3)
% 263.06/206.13 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (3947), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (1126) all_0_23_23 = e2
% 263.06/206.13 |
% 263.06/206.13 | Equations (1126) can reduce 810 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (810) ~ (all_0_23_23 = e2)
% 263.06/206.13 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (3951), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (3952) all_0_23_23 = e1
% 263.06/206.13 |
% 263.06/206.13 | Equations (3952) can reduce 420 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (420) ~ (all_0_23_23 = e1)
% 263.06/206.13 | (851) all_0_23_23 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (851) can reduce 1068 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (1058) ~ (all_0_26_26 = e0)
% 263.06/206.13 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (944), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (945) all_0_29_29 = e1
% 263.06/206.13 |
% 263.06/206.13 | Equations (945) can reduce 651 to:
% 263.06/206.13 | (1002) ~ (e2 = e1)
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 1002 yields:
% 263.06/206.13 | (329) ~ (e2 = e1)
% 263.06/206.13 |
% 263.06/206.13 | Equations (945) can reduce 383 to:
% 263.06/206.13 | (37) ~ (e1 = e0)
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (241), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (1921) all_0_25_25 = e0
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (1158,1921) yields a new equation:
% 263.06/206.13 | (842) e4 = e0
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 842 yields:
% 263.06/206.13 | (490) e4 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (490) can reduce 287 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (1925) ~ (all_0_25_25 = e0)
% 263.06/206.13 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (1926), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (883) all_0_26_26 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (883) can reduce 1058 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (1058) ~ (all_0_26_26 = e0)
% 263.06/206.13 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (2527), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (546) all_0_27_27 = e0
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (443,546) yields a new equation:
% 263.06/206.13 | (836) e2 = e0
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 836 yields:
% 263.06/206.13 | (551) e2 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (551) can reduce 347 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (434) ~ (all_0_27_27 = e0)
% 263.06/206.13 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (2533), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (1044) all_0_28_28 = e0
% 263.06/206.13 |
% 263.06/206.13 | From (1044) and (3302) follows:
% 263.06/206.13 | (3980) op(e0, e4) = e1
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (3304), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (3981) ~ (op(e0, e4) = e1)
% 263.06/206.13 |
% 263.06/206.13 | Using (3980) and (3981) yields:
% 263.06/206.13 | (821) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (3980) op(e0, e4) = e1
% 263.06/206.13 | (1196) all_0_35_35 = e1
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (1196,797) yields a new equation:
% 263.06/206.13 | (718) e2 = e1
% 263.06/206.13 |
% 263.06/206.13 | Equations (718) can reduce 329 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (886) ~ (all_0_28_28 = e0)
% 263.06/206.13 | (2537) all_0_29_29 = e0
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (945,2537) yields a new equation:
% 263.06/206.13 | (960) e1 = e0
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 960 yields:
% 263.06/206.13 | (961) e1 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (961) can reduce 37 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (952) ~ (all_0_29_29 = e1)
% 263.06/206.13 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (241), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (1921) all_0_25_25 = e0
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (1158,1921) yields a new equation:
% 263.06/206.13 | (842) e4 = e0
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 842 yields:
% 263.06/206.13 | (490) e4 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (490) can reduce 287 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (1925) ~ (all_0_25_25 = e0)
% 263.06/206.13 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.06/206.13 |
% 263.06/206.13 | Equations (1158) can reduce 1925 to:
% 263.06/206.13 | (287) ~ (e4 = e0)
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (228), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (921) all_0_16_16 = e1
% 263.06/206.13 |
% 263.06/206.13 | Equations (921) can reduce 985 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (985) ~ (all_0_16_16 = e1)
% 263.06/206.13 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (986), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (526) all_0_21_21 = e1
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (526,449) yields a new equation:
% 263.06/206.13 | (480) e4 = e1
% 263.06/206.13 |
% 263.06/206.13 | Equations (480) can reduce 65 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (363) ~ (all_0_21_21 = e1)
% 263.06/206.13 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (998), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (1005) all_0_26_26 = e1
% 263.06/206.13 |
% 263.06/206.13 | Equations (1005) can reduce 46 to:
% 263.06/206.13 | (4011) ~ (all_0_28_28 = e1)
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 4011 yields:
% 263.06/206.13 | (421) ~ (all_0_28_28 = e1)
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (168), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.13 | (2438) all_0_25_25 = e3
% 263.06/206.13 |
% 263.06/206.13 | Combining equations (1158,2438) yields a new equation:
% 263.06/206.13 | (690) e4 = e3
% 263.06/206.13 |
% 263.06/206.13 | Simplifying 690 yields:
% 263.06/206.13 | (691) e4 = e3
% 263.06/206.13 |
% 263.06/206.13 | Equations (691) can reduce 277 to:
% 263.06/206.13 | (366) $false
% 263.06/206.13 |
% 263.06/206.13 |-The branch is then unsatisfiable
% 263.06/206.13 |-Branch two:
% 263.06/206.13 | (566) ~ (all_0_25_25 = e3)
% 263.06/206.13 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 263.06/206.13 |
% 263.06/206.13 | Equations (1158) can reduce 566 to:
% 263.06/206.13 | (277) ~ (e4 = e3)
% 263.06/206.13 |
% 263.06/206.13 +-Applying beta-rule and splitting (1137), into two cases.
% 263.06/206.13 |-Branch one:
% 263.06/206.14 | (978) all_0_23_23 = e3
% 263.06/206.14 |
% 263.06/206.14 | Equations (978) can reduce 982 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (982) ~ (all_0_23_23 = e3)
% 263.06/206.14 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (840), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (529) all_0_21_21 = e0
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (529,449) yields a new equation:
% 263.06/206.14 | (490) e4 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (490) can reduce 287 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (398) ~ (all_0_21_21 = e0)
% 263.06/206.14 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (846), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (847) all_0_22_22 = e0
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (847,857) yields a new equation:
% 263.06/206.14 | (980) e3 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (980) can reduce 88 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (826) ~ (all_0_22_22 = e0)
% 263.06/206.14 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (3084), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (896) all_0_28_28 = e3
% 263.06/206.14 |
% 263.06/206.14 | Equations (896) can reduce 421 to:
% 263.06/206.14 | (318) ~ (e3 = e1)
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (185), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (1153) all_0_18_18 = e0
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (1153,1274) yields a new equation:
% 263.06/206.14 | (551) e2 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (551) can reduce 347 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (1156) ~ (all_0_18_18 = e0)
% 263.06/206.14 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (1274) can reduce 1156 to:
% 263.06/206.14 | (347) ~ (e2 = e0)
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (850), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (851) all_0_23_23 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (851) can reduce 420 to:
% 263.06/206.14 | (395) ~ (e1 = e0)
% 263.06/206.14 |
% 263.06/206.14 | Simplifying 395 yields:
% 263.06/206.14 | (37) ~ (e1 = e0)
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (953), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (954) all_0_34_34 = e1
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (1027,954) yields a new equation:
% 263.06/206.14 | (933) e3 = e1
% 263.06/206.14 |
% 263.06/206.14 | Simplifying 933 yields:
% 263.06/206.14 | (706) e3 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (706) can reduce 318 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (426) ~ (all_0_34_34 = e1)
% 263.06/206.14 | (377) all_0_39_39 = e1
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (380,377) yields a new equation:
% 263.06/206.14 | (961) e1 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (961) can reduce 37 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (1068) ~ (all_0_23_23 = e0)
% 263.06/206.14 | (1069) all_0_24_24 = e0
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (1069,1393) yields a new equation:
% 263.06/206.14 | (551) e2 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (551) can reduce 347 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (1035) ~ (all_0_28_28 = e3)
% 263.06/206.14 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (3089), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (410) all_0_33_33 = e3
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (410,418) yields a new equation:
% 263.06/206.14 | (933) e3 = e1
% 263.06/206.14 |
% 263.06/206.14 | Simplifying 933 yields:
% 263.06/206.14 | (706) e3 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (706) can reduce 318 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (403) ~ (all_0_33_33 = e3)
% 263.06/206.14 | (1077) all_0_38_38 = e3
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (1077,1165) yields a new equation:
% 263.06/206.14 | (691) e4 = e3
% 263.06/206.14 |
% 263.06/206.14 | Equations (691) can reduce 277 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (1008) ~ (all_0_26_26 = e1)
% 263.06/206.14 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (1009), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (1010) all_0_31_31 = e1
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (751,1010) yields a new equation:
% 263.06/206.14 | (717) e2 = e1
% 263.06/206.14 |
% 263.06/206.14 | Simplifying 717 yields:
% 263.06/206.14 | (718) e2 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (718) can reduce 329 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (423) ~ (all_0_31_31 = e1)
% 263.06/206.14 | (1015) all_0_36_36 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (1015) can reduce 1593 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (1031) ~ (all_0_34_34 = e3)
% 263.06/206.14 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (1709), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (1110) all_0_34_34 = e2
% 263.06/206.14 |
% 263.06/206.14 | Equations (1110) can reduce 672 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (672) ~ (all_0_34_34 = e2)
% 263.06/206.14 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (1713), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (954) all_0_34_34 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (954) can reduce 426 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (426) ~ (all_0_34_34 = e1)
% 263.06/206.14 | (1717) all_0_34_34 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (1717) can reduce 384 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (2562) ~ (all_0_37_37 = e1)
% 263.06/206.14 | (3111) all_0_37_37 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (3111) can reduce 387 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (774) ~ (all_0_22_22 = e3)
% 263.06/206.14 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (860), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (917) all_0_22_22 = e2
% 263.06/206.14 |
% 263.06/206.14 | Equations (917) can reduce 493 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (493) ~ (all_0_22_22 = e2)
% 263.06/206.14 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (920), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (999) all_0_22_22 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (999) can reduce 1018 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (1018) ~ (all_0_22_22 = e1)
% 263.06/206.14 | (847) all_0_22_22 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (847) can reduce 826 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (668) ~ (all_0_24_24 = e2)
% 263.06/206.14 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (4102), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (4103) all_0_29_29 = e2
% 263.06/206.14 |
% 263.06/206.14 | Equations (4103) can reduce 651 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (651) ~ (all_0_29_29 = e2)
% 263.06/206.14 | (4106) all_0_34_34 = e2 | all_0_39_39 = e2
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (4106), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (1110) all_0_34_34 = e2
% 263.06/206.14 |
% 263.06/206.14 | Equations (1110) can reduce 672 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (672) ~ (all_0_34_34 = e2)
% 263.06/206.14 | (373) all_0_39_39 = e2
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (373,380) yields a new equation:
% 263.06/206.14 | (836) e2 = e0
% 263.06/206.14 |
% 263.06/206.14 | Simplifying 836 yields:
% 263.06/206.14 | (551) e2 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (551) can reduce 347 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (1099) ~ (all_0_31_31 = e2)
% 263.06/206.14 | (801) all_0_36_36 = e2
% 263.06/206.14 |
% 263.06/206.14 | Equations (801) can reduce 756 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (666) ~ (all_0_18_18 = e2)
% 263.06/206.14 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (709), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (921) all_0_16_16 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (921) can reduce 9 to:
% 263.06/206.14 | (2559) ~ (all_0_18_18 = e1)
% 263.06/206.14 |
% 263.06/206.14 | Simplifying 2559 yields:
% 263.06/206.14 | (419) ~ (all_0_18_18 = e1)
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (1277), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (1278) all_0_18_18 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (1278) can reduce 419 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (419) ~ (all_0_18_18 = e1)
% 263.06/206.14 | (1153) all_0_18_18 = e0
% 263.06/206.14 |
% 263.06/206.14 | Equations (1153) can reduce 1156 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (985) ~ (all_0_16_16 = e1)
% 263.06/206.14 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (270), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (701) all_0_16_16 = e4
% 263.06/206.14 |
% 263.06/206.14 | Equations (701) can reduce 573 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (573) ~ (all_0_16_16 = e4)
% 263.06/206.14 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (704), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (1287) all_0_16_16 = e3
% 263.06/206.14 |
% 263.06/206.14 | Equations (1287) can reduce 458 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (458) ~ (all_0_16_16 = e3)
% 263.06/206.14 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (1290), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (697) all_0_16_16 = e2
% 263.06/206.14 |
% 263.06/206.14 | Equations (697) can reduce 10 to:
% 263.06/206.14 | (1608) ~ (all_0_31_31 = e2)
% 263.06/206.14 |
% 263.06/206.14 | Simplifying 1608 yields:
% 263.06/206.14 | (1099) ~ (all_0_31_31 = e2)
% 263.06/206.14 |
% 263.06/206.14 | Equations (697) can reduce 64 to:
% 263.06/206.14 | (755) ~ (all_0_36_36 = e2)
% 263.06/206.14 |
% 263.06/206.14 | Simplifying 755 yields:
% 263.06/206.14 | (756) ~ (all_0_36_36 = e2)
% 263.06/206.14 |
% 263.06/206.14 | Equations (697) can reduce 985 to:
% 263.06/206.14 | (329) ~ (e2 = e1)
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (228), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (921) all_0_16_16 = e1
% 263.06/206.14 |
% 263.06/206.14 | Combining equations (921,697) yields a new equation:
% 263.06/206.14 | (718) e2 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (718) can reduce 329 to:
% 263.06/206.14 | (366) $false
% 263.06/206.14 |
% 263.06/206.14 |-The branch is then unsatisfiable
% 263.06/206.14 |-Branch two:
% 263.06/206.14 | (985) ~ (all_0_16_16 = e1)
% 263.06/206.14 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 263.06/206.14 |
% 263.06/206.14 | Equations (697) can reduce 985 to:
% 263.06/206.14 | (329) ~ (e2 = e1)
% 263.06/206.14 |
% 263.06/206.14 +-Applying beta-rule and splitting (1502), into two cases.
% 263.06/206.14 |-Branch one:
% 263.06/206.14 | (999) all_0_22_22 = e1
% 263.06/206.14 |
% 263.06/206.15 | Equations (999) can reduce 1018 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (1018) ~ (all_0_22_22 = e1)
% 263.06/206.15 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1566), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (543) all_0_27_27 = e1
% 263.06/206.15 |
% 263.06/206.15 | Combining equations (443,543) yields a new equation:
% 263.06/206.15 | (717) e2 = e1
% 263.06/206.15 |
% 263.06/206.15 | Simplifying 717 yields:
% 263.06/206.15 | (718) e2 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (718) can reduce 329 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (402) ~ (all_0_27_27 = e1)
% 263.06/206.15 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (115), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1446) all_0_31_31 = e4
% 263.06/206.15 |
% 263.06/206.15 | Equations (1446) can reduce 584 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (584) ~ (all_0_31_31 = e4)
% 263.06/206.15 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1631), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (763) all_0_31_31 = e3
% 263.06/206.15 |
% 263.06/206.15 | Equations (763) can reduce 7 to:
% 263.06/206.15 | (4164) ~ (all_0_36_36 = e3)
% 263.06/206.15 |
% 263.06/206.15 | Simplifying 4164 yields:
% 263.06/206.15 | (516) ~ (all_0_36_36 = e3)
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (187), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (2611) all_0_36_36 = e4
% 263.06/206.15 |
% 263.06/206.15 | Equations (2611) can reduce 586 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (586) ~ (all_0_36_36 = e4)
% 263.06/206.15 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (2614), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (818) all_0_36_36 = e3
% 263.06/206.15 |
% 263.06/206.15 | Equations (818) can reduce 516 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (516) ~ (all_0_36_36 = e3)
% 263.06/206.15 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (3567), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (801) all_0_36_36 = e2
% 263.06/206.15 |
% 263.06/206.15 | Equations (801) can reduce 756 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (756) ~ (all_0_36_36 = e2)
% 263.06/206.15 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (3571), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1015) all_0_36_36 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (1015) can reduce 183 to:
% 263.06/206.15 | (2561) ~ (all_0_37_37 = e1)
% 263.06/206.15 |
% 263.06/206.15 | Simplifying 2561 yields:
% 263.06/206.15 | (2562) ~ (all_0_37_37 = e1)
% 263.06/206.15 |
% 263.06/206.15 | Equations (1015) can reduce 586 to:
% 263.06/206.15 | (477) ~ (e4 = e1)
% 263.06/206.15 |
% 263.06/206.15 | Simplifying 477 yields:
% 263.06/206.15 | (65) ~ (e4 = e1)
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1586), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1587) all_0_32_32 = e1
% 263.06/206.15 |
% 263.06/206.15 | Combining equations (1229,1587) yields a new equation:
% 263.06/206.15 | (955) e4 = e1
% 263.06/206.15 |
% 263.06/206.15 | Simplifying 955 yields:
% 263.06/206.15 | (480) e4 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (480) can reduce 65 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (424) ~ (all_0_32_32 = e1)
% 263.06/206.15 | (1590) all_0_37_37 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (1590) can reduce 2562 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (1593) ~ (all_0_36_36 = e1)
% 263.06/206.15 | (1065) all_0_36_36 = e0
% 263.06/206.15 |
% 263.06/206.15 | Equations (1065) can reduce 386 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (510) ~ (all_0_31_31 = e3)
% 263.06/206.15 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1635), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (751) all_0_31_31 = e2
% 263.06/206.15 |
% 263.06/206.15 | Equations (751) can reduce 1099 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (1099) ~ (all_0_31_31 = e2)
% 263.06/206.15 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1639), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1010) all_0_31_31 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (1010) can reduce 423 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (423) ~ (all_0_31_31 = e1)
% 263.06/206.15 | (1060) all_0_31_31 = e0
% 263.06/206.15 |
% 263.06/206.15 | Equations (1060) can reduce 1064 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (664) ~ (all_0_16_16 = e2)
% 263.06/206.15 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1377), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (921) all_0_16_16 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (921) can reduce 985 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (985) ~ (all_0_16_16 = e1)
% 263.06/206.15 | (873) all_0_16_16 = e0
% 263.06/206.15 |
% 263.06/206.15 | Equations (873) can reduce 824 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (1878) ~ (all_0_30_30 = e0)
% 263.06/206.15 | (1203) all_0_35_35 = e0
% 263.06/206.15 |
% 263.06/206.15 | Combining equations (1203,797) yields a new equation:
% 263.06/206.15 | (551) e2 = e0
% 263.06/206.15 |
% 263.06/206.15 | Equations (551) can reduce 347 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (1409) ~ (all_0_20_20 = e1)
% 263.06/206.15 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1656), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (950) all_0_25_25 = e1
% 263.06/206.15 |
% 263.06/206.15 | Combining equations (950,1158) yields a new equation:
% 263.06/206.15 | (480) e4 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (480) can reduce 65 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (946) ~ (all_0_25_25 = e1)
% 263.06/206.15 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (735), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (820) ~ (op(e4, e2) = e0)
% 263.06/206.15 |
% 263.06/206.15 | Using (813) and (820) yields:
% 263.06/206.15 | (821) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (813) op(e4, e2) = e0
% 263.06/206.15 | (823) all_0_17_17 = e0
% 263.06/206.15 |
% 263.06/206.15 | Equations (823) can reduce 74 to:
% 263.06/206.15 | (3378) ~ (all_0_18_18 = e0)
% 263.06/206.15 |
% 263.06/206.15 | Simplifying 3378 yields:
% 263.06/206.15 | (1156) ~ (all_0_18_18 = e0)
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (26), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (887) all_0_18_18 = e4
% 263.06/206.15 |
% 263.06/206.15 | Equations (887) can reduce 1046 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (1046) ~ (all_0_18_18 = e4)
% 263.06/206.15 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1047), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1134) all_0_18_18 = e3
% 263.06/206.15 |
% 263.06/206.15 | Equations (1134) can reduce 560 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (560) ~ (all_0_18_18 = e3)
% 263.06/206.15 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1270), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1274) all_0_18_18 = e2
% 263.06/206.15 |
% 263.06/206.15 | Equations (1274) can reduce 419 to:
% 263.06/206.15 | (329) ~ (e2 = e1)
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1676), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (787) all_0_30_30 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (787) can reduce 422 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (422) ~ (all_0_30_30 = e1)
% 263.06/206.15 | (1196) all_0_35_35 = e1
% 263.06/206.15 |
% 263.06/206.15 | Combining equations (797,1196) yields a new equation:
% 263.06/206.15 | (717) e2 = e1
% 263.06/206.15 |
% 263.06/206.15 | Simplifying 717 yields:
% 263.06/206.15 | (718) e2 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (718) can reduce 329 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (666) ~ (all_0_18_18 = e2)
% 263.06/206.15 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1277), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1278) all_0_18_18 = e1
% 263.06/206.15 |
% 263.06/206.15 | Equations (1278) can reduce 419 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (419) ~ (all_0_18_18 = e1)
% 263.06/206.15 | (1153) all_0_18_18 = e0
% 263.06/206.15 |
% 263.06/206.15 | Equations (1153) can reduce 1156 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (742) ~ (all_0_35_35 = e2)
% 263.06/206.15 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (122), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1161) all_0_35_35 = e4
% 263.06/206.15 |
% 263.06/206.15 | Equations (1161) can reduce 514 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (514) ~ (all_0_35_35 = e4)
% 263.06/206.15 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1181), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (814) all_0_35_35 = e3
% 263.06/206.15 |
% 263.06/206.15 | Equations (814) can reduce 570 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (570) ~ (all_0_35_35 = e3)
% 263.06/206.15 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1185), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (797) all_0_35_35 = e2
% 263.06/206.15 |
% 263.06/206.15 | Equations (797) can reduce 742 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (742) ~ (all_0_35_35 = e2)
% 263.06/206.15 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (1195), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (1196) all_0_35_35 = e1
% 263.06/206.15 |
% 263.06/206.15 | From (1196) and (2804) follows:
% 263.06/206.15 | (4267) op(e1, e4) = e4
% 263.06/206.15 |
% 263.06/206.15 +-Applying beta-rule and splitting (2806), into two cases.
% 263.06/206.15 |-Branch one:
% 263.06/206.15 | (4268) ~ (op(e1, e4) = e4)
% 263.06/206.15 |
% 263.06/206.15 | Using (4267) and (4268) yields:
% 263.06/206.15 | (821) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (4267) op(e1, e4) = e4
% 263.06/206.15 | (768) all_0_30_30 = e4
% 263.06/206.15 |
% 263.06/206.15 | Equations (768) can reduce 509 to:
% 263.06/206.15 | (366) $false
% 263.06/206.15 |
% 263.06/206.15 |-The branch is then unsatisfiable
% 263.06/206.15 |-Branch two:
% 263.06/206.15 | (1177) ~ (all_0_35_35 = e1)
% 263.06/206.15 | (1203) all_0_35_35 = e0
% 263.06/206.15 |
% 263.06/206.16 | Equations (1203) can reduce 385 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (1143) ~ (all_0_38_38 = e4)
% 263.06/206.16 | (365) all_0_39_39 = e4
% 263.06/206.16 |
% 263.06/206.16 | Combining equations (365,380) yields a new equation:
% 263.06/206.16 | (842) e4 = e0
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 842 yields:
% 263.06/206.16 | (490) e4 = e0
% 263.06/206.16 |
% 263.06/206.16 | Equations (490) can reduce 287 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (501) ~ (all_0_25_25 = e4)
% 263.06/206.16 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (1217), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (1237) all_0_26_26 = e4
% 263.06/206.16 |
% 263.06/206.16 | Equations (1237) can reduce 582 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (582) ~ (all_0_26_26 = e4)
% 263.06/206.16 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (1240), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (435) all_0_27_27 = e4
% 263.06/206.16 |
% 263.06/206.16 | Combining equations (443,435) yields a new equation:
% 263.06/206.16 | (539) e4 = e2
% 263.06/206.16 |
% 263.06/206.16 | Equations (539) can reduce 19 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (404) ~ (all_0_27_27 = e4)
% 263.06/206.16 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (1245), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (892) all_0_28_28 = e4
% 263.06/206.16 |
% 263.06/206.16 | From (892) and (3303) follows:
% 263.06/206.16 | (1335) op(e4, e4) = e2
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (1305), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (1336) ~ (op(e4, e4) = e2)
% 263.06/206.16 |
% 263.06/206.16 | Using (1335) and (1336) yields:
% 263.06/206.16 | (821) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (1335) op(e4, e4) = e2
% 263.06/206.16 | (764) e3 = e2
% 263.06/206.16 |
% 263.06/206.16 | Equations (764) can reduce 56 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (890) ~ (all_0_28_28 = e4)
% 263.06/206.16 | (1250) all_0_29_29 = e4
% 263.06/206.16 |
% 263.06/206.16 | Equations (1250) can reduce 724 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (727) ~ (all_0_32_32 = e4)
% 263.06/206.16 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (1476), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (406) all_0_33_33 = e4
% 263.06/206.16 |
% 263.06/206.16 | Combining equations (418,406) yields a new equation:
% 263.06/206.16 | (480) e4 = e1
% 263.06/206.16 |
% 263.06/206.16 | Equations (480) can reduce 65 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (405) ~ (all_0_33_33 = e4)
% 263.06/206.16 | (723) all_0_34_34 = e4
% 263.06/206.16 |
% 263.06/206.16 | Equations (723) can reduce 1395 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (714) ~ (all_0_19_19 = e4)
% 263.06/206.16 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (4311), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (927) all_0_19_19 = e3
% 263.06/206.16 |
% 263.06/206.16 | Equations (927) can reduce 562 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (562) ~ (all_0_19_19 = e3)
% 263.06/206.16 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (4315), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (663) all_0_19_19 = e2
% 263.06/206.16 |
% 263.06/206.16 | Equations (663) can reduce 2785 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (2785) ~ (all_0_19_19 = e2)
% 263.06/206.16 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (4319), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (716) all_0_19_19 = e1
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 236 to:
% 263.06/206.16 | (985) ~ (all_0_16_16 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 333 to:
% 263.06/206.16 | (1501) ~ (all_0_17_17 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 337 to:
% 263.06/206.16 | (419) ~ (all_0_18_18 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 87 to:
% 263.06/206.16 | (1964) ~ (all_0_24_24 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 1964 yields:
% 263.06/206.16 | (943) ~ (all_0_24_24 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 229 to:
% 263.06/206.16 | (3164) ~ (all_0_29_29 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 3164 yields:
% 263.06/206.16 | (952) ~ (all_0_29_29 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 280 to:
% 263.06/206.16 | (425) ~ (all_0_34_34 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 425 yields:
% 263.06/206.16 | (426) ~ (all_0_34_34 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 714 to:
% 263.06/206.16 | (477) ~ (e4 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 477 yields:
% 263.06/206.16 | (65) ~ (e4 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 562 to:
% 263.06/206.16 | (429) ~ (e3 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 429 yields:
% 263.06/206.16 | (318) ~ (e3 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 2785 to:
% 263.06/206.16 | (1002) ~ (e2 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 1002 yields:
% 263.06/206.16 | (329) ~ (e2 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (716) can reduce 381 to:
% 263.06/206.16 | (37) ~ (e1 = e0)
% 263.06/206.16 |
% 263.06/206.16 | From (716) and (332) follows:
% 263.06/206.16 | (4337) op(e1, all_0_35_35) = e0
% 263.06/206.16 |
% 263.06/206.16 | From (716) and (24) follows:
% 263.06/206.16 | (4338) op(all_0_35_35, e1) = e4
% 263.06/206.16 |
% 263.06/206.16 | From (716) and (67) follows:
% 263.06/206.16 | (4339) op(e4, e0) = e1
% 263.06/206.16 |
% 263.06/206.16 | Instantiating formula (97) with e4, e1, e4, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 263.06/206.16 | (4340) all_0_18_18 = e4 | ~ (op(e4, e1) = e4)
% 263.06/206.16 |
% 263.06/206.16 | Instantiating formula (97) with e2, e1, e4, all_0_28_28 and discharging atoms op(e2, e1) = all_0_28_28, yields:
% 263.06/206.16 | (4341) all_0_28_28 = e4 | ~ (op(e2, e1) = e4)
% 263.06/206.16 |
% 263.06/206.16 | Instantiating formula (97) with e1, e4, e0, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 263.06/206.16 | (4342) all_0_30_30 = e0 | ~ (op(e1, e4) = e0)
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (154), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (685) all_0_24_24 = e4
% 263.06/206.16 |
% 263.06/206.16 | Equations (685) can reduce 580 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (580) ~ (all_0_24_24 = e4)
% 263.06/206.16 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (270), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (701) all_0_16_16 = e4
% 263.06/206.16 |
% 263.06/206.16 | Equations (701) can reduce 573 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (573) ~ (all_0_16_16 = e4)
% 263.06/206.16 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (242), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (711) all_0_19_19 = e4
% 263.06/206.16 |
% 263.06/206.16 | Combining equations (716,711) yields a new equation:
% 263.06/206.16 | (480) e4 = e1
% 263.06/206.16 |
% 263.06/206.16 | Equations (480) can reduce 65 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (714) ~ (all_0_19_19 = e4)
% 263.06/206.16 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (357), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (1250) all_0_29_29 = e4
% 263.06/206.16 |
% 263.06/206.16 | Equations (1250) can reduce 85 to:
% 263.06/206.16 | (580) ~ (all_0_24_24 = e4)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1250) can reduce 62 to:
% 263.06/206.16 | (501) ~ (all_0_25_25 = e4)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1250) can reduce 38 to:
% 263.06/206.16 | (582) ~ (all_0_26_26 = e4)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1250) can reduce 73 to:
% 263.06/206.16 | (890) ~ (all_0_28_28 = e4)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1250) can reduce 41 to:
% 263.06/206.16 | (2206) ~ (all_0_34_34 = e4)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 2206 yields:
% 263.06/206.16 | (1395) ~ (all_0_34_34 = e4)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1250) can reduce 952 to:
% 263.06/206.16 | (65) ~ (e4 = e1)
% 263.06/206.16 |
% 263.06/206.16 | From (1250) and (348) follows:
% 263.06/206.16 | (4364) op(e4, all_0_37_37) = e0
% 263.06/206.16 |
% 263.06/206.16 | From (1250) and (310) follows:
% 263.06/206.16 | (1407) op(all_0_37_37, e4) = e2
% 263.06/206.16 |
% 263.06/206.16 | Instantiating formula (97) with e1, e4, e2, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 263.06/206.16 | (1422) all_0_30_30 = e2 | ~ (op(e1, e4) = e2)
% 263.06/206.16 |
% 263.06/206.16 | Instantiating formula (97) with e4, e3, e0, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 263.06/206.16 | (734) all_0_16_16 = e0 | ~ (op(e4, e3) = e0)
% 263.06/206.16 |
% 263.06/206.16 | Instantiating formula (97) with e4, e1, e0, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 263.06/206.16 | (2808) all_0_18_18 = e0 | ~ (op(e4, e1) = e0)
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (83), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (723) all_0_34_34 = e4
% 263.06/206.16 |
% 263.06/206.16 | Equations (723) can reduce 1395 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (1395) ~ (all_0_34_34 = e4)
% 263.06/206.16 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (308), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (1175) all_0_20_20 = e1
% 263.06/206.16 |
% 263.06/206.16 | Equations (1175) can reduce 211 to:
% 263.06/206.16 | (3383) ~ (all_0_22_22 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 3383 yields:
% 263.06/206.16 | (1018) ~ (all_0_22_22 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1175) can reduce 167 to:
% 263.06/206.16 | (1964) ~ (all_0_24_24 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 1964 yields:
% 263.06/206.16 | (943) ~ (all_0_24_24 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1175) can reduce 95 to:
% 263.06/206.16 | (4378) ~ (all_0_25_25 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 4378 yields:
% 263.06/206.16 | (946) ~ (all_0_25_25 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1175) can reduce 496 to:
% 263.06/206.16 | (477) ~ (e4 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 477 yields:
% 263.06/206.16 | (65) ~ (e4 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Equations (1175) can reduce 564 to:
% 263.06/206.16 | (429) ~ (e3 = e1)
% 263.06/206.16 |
% 263.06/206.16 | Simplifying 429 yields:
% 263.06/206.16 | (318) ~ (e3 = e1)
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (126), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (950) all_0_25_25 = e1
% 263.06/206.16 |
% 263.06/206.16 | Equations (950) can reduce 946 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (946) ~ (all_0_25_25 = e1)
% 263.06/206.16 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (17), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (1498) all_0_17_17 = e1
% 263.06/206.16 |
% 263.06/206.16 | Equations (1498) can reduce 1501 to:
% 263.06/206.16 | (366) $false
% 263.06/206.16 |
% 263.06/206.16 |-The branch is then unsatisfiable
% 263.06/206.16 |-Branch two:
% 263.06/206.16 | (1501) ~ (all_0_17_17 = e1)
% 263.06/206.16 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.16 |
% 263.06/206.16 +-Applying beta-rule and splitting (2009), into two cases.
% 263.06/206.16 |-Branch one:
% 263.06/206.16 | (1005) all_0_26_26 = e1
% 263.06/206.16 |
% 263.06/206.16 | Equations (1005) can reduce 128 to:
% 263.06/206.16 | (946) ~ (all_0_25_25 = e1)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1005) can reduce 145 to:
% 263.06/206.17 | (1613) ~ (all_0_31_31 = e1)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 1613 yields:
% 263.06/206.17 | (423) ~ (all_0_31_31 = e1)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1005) can reduce 582 to:
% 263.06/206.17 | (477) ~ (e4 = e1)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 477 yields:
% 263.06/206.17 | (65) ~ (e4 = e1)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1005) can reduce 647 to:
% 263.06/206.17 | (1002) ~ (e2 = e1)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 1002 yields:
% 263.06/206.17 | (329) ~ (e2 = e1)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1502), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (999) all_0_22_22 = e1
% 263.06/206.17 |
% 263.06/206.17 | Equations (999) can reduce 1018 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (1018) ~ (all_0_22_22 = e1)
% 263.06/206.17 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1566), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (543) all_0_27_27 = e1
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (443,543) yields a new equation:
% 263.06/206.17 | (717) e2 = e1
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 717 yields:
% 263.06/206.17 | (718) e2 = e1
% 263.06/206.17 |
% 263.06/206.17 | Equations (718) can reduce 329 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (402) ~ (all_0_27_27 = e1)
% 263.06/206.17 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (168), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (2438) all_0_25_25 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (2438) can reduce 566 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (566) ~ (all_0_25_25 = e3)
% 263.06/206.17 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (245), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1158) all_0_25_25 = e4
% 263.06/206.17 |
% 263.06/206.17 | Equations (1158) can reduce 501 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (501) ~ (all_0_25_25 = e4)
% 263.06/206.17 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1586), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1587) all_0_32_32 = e1
% 263.06/206.17 |
% 263.06/206.17 | Equations (1587) can reduce 424 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (424) ~ (all_0_32_32 = e1)
% 263.06/206.17 | (1590) all_0_37_37 = e1
% 263.06/206.17 |
% 263.06/206.17 | Equations (1590) can reduce 132 to:
% 263.06/206.17 | (1501) ~ (all_0_17_17 = e1)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1590) can reduce 121 to:
% 263.06/206.17 | (1177) ~ (all_0_35_35 = e1)
% 263.06/206.17 |
% 263.06/206.17 | From (1590) and (1407) follows:
% 263.06/206.17 | (1594) op(e1, e4) = e2
% 263.06/206.17 |
% 263.06/206.17 | From (1590) and (4364) follows:
% 263.06/206.17 | (2158) op(e4, e1) = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (2442), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (2443) all_0_26_26 = e3
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (1005,2443) yields a new equation:
% 263.06/206.17 | (706) e3 = e1
% 263.06/206.17 |
% 263.06/206.17 | Equations (706) can reduce 318 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (504) ~ (all_0_26_26 = e3)
% 263.06/206.17 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (3136), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (2438) all_0_25_25 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (2438) can reduce 566 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (566) ~ (all_0_25_25 = e3)
% 263.06/206.17 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (2448), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (439) all_0_27_27 = e3
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (443,439) yields a new equation:
% 263.06/206.17 | (764) e3 = e2
% 263.06/206.17 |
% 263.06/206.17 | Equations (764) can reduce 56 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (400) ~ (all_0_27_27 = e3)
% 263.06/206.17 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (2453), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (896) all_0_28_28 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (896) can reduce 300 to:
% 263.06/206.17 | (560) ~ (all_0_18_18 = e3)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (3158), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (3159) all_0_25_25 = e2
% 263.06/206.17 |
% 263.06/206.17 | Equations (3159) can reduce 646 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (646) ~ (all_0_25_25 = e2)
% 263.06/206.17 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (3162), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (950) all_0_25_25 = e1
% 263.06/206.17 |
% 263.06/206.17 | Equations (950) can reduce 946 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (946) ~ (all_0_25_25 = e1)
% 263.06/206.17 | (1921) all_0_25_25 = e0
% 263.06/206.17 |
% 263.06/206.17 | Equations (1921) can reduce 98 to:
% 263.06/206.17 | (1895) ~ (all_0_35_35 = e0)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 1895 yields:
% 263.06/206.17 | (385) ~ (all_0_35_35 = e0)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1921) can reduce 501 to:
% 263.06/206.17 | (389) ~ (e4 = e0)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 389 yields:
% 263.06/206.17 | (287) ~ (e4 = e0)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1422), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1604) ~ (op(e1, e4) = e2)
% 263.06/206.17 |
% 263.06/206.17 | Using (1594) and (1604) yields:
% 263.06/206.17 | (821) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (1594) op(e1, e4) = e2
% 263.06/206.17 | (747) all_0_30_30 = e2
% 263.06/206.17 |
% 263.06/206.17 | Equations (747) can reduce 217 to:
% 263.06/206.17 | (1608) ~ (all_0_31_31 = e2)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 1608 yields:
% 263.06/206.17 | (1099) ~ (all_0_31_31 = e2)
% 263.06/206.17 |
% 263.06/206.17 | Equations (747) can reduce 15 to:
% 263.06/206.17 | (671) ~ (all_0_34_34 = e2)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 671 yields:
% 263.06/206.17 | (672) ~ (all_0_34_34 = e2)
% 263.06/206.17 |
% 263.06/206.17 | Equations (747) can reduce 96 to:
% 263.06/206.17 | (741) ~ (all_0_35_35 = e2)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 741 yields:
% 263.06/206.17 | (742) ~ (all_0_35_35 = e2)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1396), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1027) all_0_34_34 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (1027) can reduce 4 to:
% 263.06/206.17 | (963) ~ (all_0_24_24 = e3)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1027) can reduce 188 to:
% 263.06/206.17 | (510) ~ (all_0_31_31 = e3)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1027) can reduce 1395 to:
% 263.06/206.17 | (695) ~ (e4 = e3)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 695 yields:
% 263.06/206.17 | (277) ~ (e4 = e3)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (688), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (939) all_0_24_24 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (939) can reduce 963 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (963) ~ (all_0_24_24 = e3)
% 263.06/206.17 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (968), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1393) all_0_24_24 = e2
% 263.06/206.17 |
% 263.06/206.17 | Equations (1393) can reduce 580 to:
% 263.06/206.17 | (444) ~ (e4 = e2)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 444 yields:
% 263.06/206.17 | (19) ~ (e4 = e2)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (8), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (464) all_0_15_15 = e4
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (468,464) yields a new equation:
% 263.06/206.17 | (691) e4 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (691) can reduce 277 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (460) ~ (all_0_15_15 = e4)
% 263.06/206.17 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (115), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1446) all_0_31_31 = e4
% 263.06/206.17 |
% 263.06/206.17 | Equations (1446) can reduce 584 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (584) ~ (all_0_31_31 = e4)
% 263.06/206.17 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1631), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (763) all_0_31_31 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (763) can reduce 510 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (510) ~ (all_0_31_31 = e3)
% 263.06/206.17 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (914), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1453) all_0_20_20 = e4
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (1175,1453) yields a new equation:
% 263.06/206.17 | (480) e4 = e1
% 263.06/206.17 |
% 263.06/206.17 | Equations (480) can reduce 65 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (496) ~ (all_0_20_20 = e4)
% 263.06/206.17 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1635), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (751) all_0_31_31 = e2
% 263.06/206.17 |
% 263.06/206.17 | Equations (751) can reduce 1099 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (1099) ~ (all_0_31_31 = e2)
% 263.06/206.17 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1456), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1158) all_0_25_25 = e4
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (1158,1921) yields a new equation:
% 263.06/206.17 | (842) e4 = e0
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 842 yields:
% 263.06/206.17 | (490) e4 = e0
% 263.06/206.17 |
% 263.06/206.17 | Equations (490) can reduce 287 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (501) ~ (all_0_25_25 = e4)
% 263.06/206.17 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1639), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1010) all_0_31_31 = e1
% 263.06/206.17 |
% 263.06/206.17 | Equations (1010) can reduce 423 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (423) ~ (all_0_31_31 = e1)
% 263.06/206.17 | (1060) all_0_31_31 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1460), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (768) all_0_30_30 = e4
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (747,768) yields a new equation:
% 263.06/206.17 | (539) e4 = e2
% 263.06/206.17 |
% 263.06/206.17 | Equations (539) can reduce 19 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (509) ~ (all_0_30_30 = e4)
% 263.06/206.17 | (1161) all_0_35_35 = e4
% 263.06/206.17 |
% 263.06/206.17 | Equations (1161) can reduce 173 to:
% 263.06/206.17 | (1142) ~ (all_0_38_38 = e4)
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 1142 yields:
% 263.06/206.17 | (1143) ~ (all_0_38_38 = e4)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1161) can reduce 570 to:
% 263.06/206.17 | (277) ~ (e4 = e3)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1161) can reduce 742 to:
% 263.06/206.17 | (19) ~ (e4 = e2)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1161) can reduce 1177 to:
% 263.06/206.17 | (65) ~ (e4 = e1)
% 263.06/206.17 |
% 263.06/206.17 | Equations (1161) can reduce 385 to:
% 263.06/206.17 | (287) ~ (e4 = e0)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (137), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1515) all_0_23_23 = e4
% 263.06/206.17 |
% 263.06/206.17 | Equations (1515) can reduce 578 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (578) ~ (all_0_23_23 = e4)
% 263.06/206.17 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (36), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (887) all_0_18_18 = e4
% 263.06/206.17 |
% 263.06/206.17 | Equations (887) can reduce 74 to:
% 263.06/206.17 | (869) ~ (all_0_17_17 = e4)
% 263.06/206.17 |
% 263.06/206.17 | Equations (887) can reduce 560 to:
% 263.06/206.17 | (277) ~ (e4 = e3)
% 263.06/206.17 |
% 263.06/206.17 | Equations (887) can reduce 419 to:
% 263.06/206.17 | (65) ~ (e4 = e1)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (327), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (768) all_0_30_30 = e4
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (747,768) yields a new equation:
% 263.06/206.17 | (539) e4 = e2
% 263.06/206.17 |
% 263.06/206.17 | Equations (539) can reduce 19 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (509) ~ (all_0_30_30 = e4)
% 263.06/206.17 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1437), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1446) all_0_31_31 = e4
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (1446,1060) yields a new equation:
% 263.06/206.17 | (842) e4 = e0
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 842 yields:
% 263.06/206.17 | (490) e4 = e0
% 263.06/206.17 |
% 263.06/206.17 | Equations (490) can reduce 287 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (584) ~ (all_0_31_31 = e4)
% 263.06/206.17 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (240), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (865) all_0_17_17 = e4
% 263.06/206.17 |
% 263.06/206.17 | Equations (865) can reduce 869 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (869) ~ (all_0_17_17 = e4)
% 263.06/206.17 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (164), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (814) all_0_35_35 = e3
% 263.06/206.17 |
% 263.06/206.17 | Combining equations (1161,814) yields a new equation:
% 263.06/206.17 | (690) e4 = e3
% 263.06/206.17 |
% 263.06/206.17 | Simplifying 690 yields:
% 263.06/206.17 | (691) e4 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (691) can reduce 277 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (570) ~ (all_0_35_35 = e3)
% 263.06/206.17 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (1161) can reduce 570 to:
% 263.06/206.17 | (277) ~ (e4 = e3)
% 263.06/206.17 |
% 263.06/206.17 +-Applying beta-rule and splitting (1961), into two cases.
% 263.06/206.17 |-Branch one:
% 263.06/206.17 | (1970) all_0_17_17 = e3
% 263.06/206.17 |
% 263.06/206.17 | Equations (1970) can reduce 558 to:
% 263.06/206.17 | (366) $false
% 263.06/206.17 |
% 263.06/206.17 |-The branch is then unsatisfiable
% 263.06/206.17 |-Branch two:
% 263.06/206.17 | (558) ~ (all_0_17_17 = e3)
% 263.06/206.18 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.06/206.18 |
% 263.06/206.18 +-Applying beta-rule and splitting (1979), into two cases.
% 263.06/206.18 |-Branch one:
% 263.06/206.18 | (1980) all_0_17_17 = e2
% 263.06/206.18 |
% 263.06/206.18 | Equations (1980) can reduce 459 to:
% 263.06/206.18 | (366) $false
% 263.06/206.18 |
% 263.06/206.18 |-The branch is then unsatisfiable
% 263.06/206.18 |-Branch two:
% 263.06/206.18 | (459) ~ (all_0_17_17 = e2)
% 263.06/206.18 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 263.06/206.18 |
% 263.06/206.18 +-Applying beta-rule and splitting (1983), into two cases.
% 263.06/206.18 |-Branch one:
% 263.06/206.18 | (1498) all_0_17_17 = e1
% 263.06/206.18 |
% 263.06/206.18 | Equations (1498) can reduce 1501 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (1501) ~ (all_0_17_17 = e1)
% 263.37/206.18 | (823) all_0_17_17 = e0
% 263.37/206.18 |
% 263.37/206.18 | Equations (823) can reduce 286 to:
% 263.37/206.18 | (2961) ~ (all_0_32_32 = e0)
% 263.37/206.18 |
% 263.37/206.18 | Simplifying 2961 yields:
% 263.37/206.18 | (1946) ~ (all_0_32_32 = e0)
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (1449), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (1229) all_0_32_32 = e4
% 263.37/206.18 |
% 263.37/206.18 | Equations (1229) can reduce 1946 to:
% 263.37/206.18 | (287) ~ (e4 = e0)
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (185), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (1153) all_0_18_18 = e0
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (1153,887) yields a new equation:
% 263.37/206.18 | (490) e4 = e0
% 263.37/206.18 |
% 263.37/206.18 | Equations (490) can reduce 287 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (1156) ~ (all_0_18_18 = e0)
% 263.37/206.18 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.37/206.18 |
% 263.37/206.18 | Equations (887) can reduce 1156 to:
% 263.37/206.18 | (287) ~ (e4 = e0)
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (2808), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (3024) ~ (op(e4, e1) = e0)
% 263.37/206.18 |
% 263.37/206.18 | Using (2158) and (3024) yields:
% 263.37/206.18 | (821) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (2158) op(e4, e1) = e0
% 263.37/206.18 | (1153) all_0_18_18 = e0
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (1153,887) yields a new equation:
% 263.37/206.18 | (490) e4 = e0
% 263.37/206.18 |
% 263.37/206.18 | Equations (490) can reduce 287 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (727) ~ (all_0_32_32 = e4)
% 263.37/206.18 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (1476), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (406) all_0_33_33 = e4
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (418,406) yields a new equation:
% 263.37/206.18 | (480) e4 = e1
% 263.37/206.18 |
% 263.37/206.18 | Equations (480) can reduce 65 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (405) ~ (all_0_33_33 = e4)
% 263.37/206.18 | (723) all_0_34_34 = e4
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (723,1027) yields a new equation:
% 263.37/206.18 | (690) e4 = e3
% 263.37/206.18 |
% 263.37/206.18 | Simplifying 690 yields:
% 263.37/206.18 | (691) e4 = e3
% 263.37/206.18 |
% 263.37/206.18 | Equations (691) can reduce 277 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (1046) ~ (all_0_18_18 = e4)
% 263.37/206.18 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (166), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (464) all_0_15_15 = e4
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (468,464) yields a new equation:
% 263.37/206.18 | (691) e4 = e3
% 263.37/206.18 |
% 263.37/206.18 | Equations (691) can reduce 277 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (460) ~ (all_0_15_15 = e4)
% 263.37/206.18 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 263.37/206.18 |
% 263.37/206.18 | Equations (468) can reduce 460 to:
% 263.37/206.18 | (695) ~ (e4 = e3)
% 263.37/206.18 |
% 263.37/206.18 | Simplifying 695 yields:
% 263.37/206.18 | (277) ~ (e4 = e3)
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (358), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (1165) all_0_38_38 = e4
% 263.37/206.18 |
% 263.37/206.18 | Equations (1165) can reduce 1143 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (1143) ~ (all_0_38_38 = e4)
% 263.37/206.18 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (164), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (814) all_0_35_35 = e3
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (814,1161) yields a new equation:
% 263.37/206.18 | (691) e4 = e3
% 263.37/206.18 |
% 263.37/206.18 | Equations (691) can reduce 277 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (570) ~ (all_0_35_35 = e3)
% 263.37/206.18 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 263.37/206.18 |
% 263.37/206.18 | Equations (1161) can reduce 570 to:
% 263.37/206.18 | (277) ~ (e4 = e3)
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (1051), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (1515) all_0_23_23 = e4
% 263.37/206.18 |
% 263.37/206.18 | Equations (1515) can reduce 578 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (578) ~ (all_0_23_23 = e4)
% 263.37/206.18 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (1518), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (892) all_0_28_28 = e4
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (896,892) yields a new equation:
% 263.37/206.18 | (691) e4 = e3
% 263.37/206.18 |
% 263.37/206.18 | Equations (691) can reduce 277 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (890) ~ (all_0_28_28 = e4)
% 263.37/206.18 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (1522), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (406) all_0_33_33 = e4
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (418,406) yields a new equation:
% 263.37/206.18 | (480) e4 = e1
% 263.37/206.18 |
% 263.37/206.18 | Equations (480) can reduce 65 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (405) ~ (all_0_33_33 = e4)
% 263.37/206.18 | (1165) all_0_38_38 = e4
% 263.37/206.18 |
% 263.37/206.18 | Equations (1165) can reduce 1143 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (668) ~ (all_0_24_24 = e2)
% 263.37/206.18 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (2760), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (940) all_0_24_24 = e1
% 263.37/206.18 |
% 263.37/206.18 | Equations (940) can reduce 943 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (943) ~ (all_0_24_24 = e1)
% 263.37/206.18 | (1069) all_0_24_24 = e0
% 263.37/206.18 |
% 263.37/206.18 | Equations (1069) can reduce 382 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (1031) ~ (all_0_34_34 = e3)
% 263.37/206.18 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (1709), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (1110) all_0_34_34 = e2
% 263.37/206.18 |
% 263.37/206.18 | Equations (1110) can reduce 672 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (672) ~ (all_0_34_34 = e2)
% 263.37/206.18 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (1713), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (954) all_0_34_34 = e1
% 263.37/206.18 |
% 263.37/206.18 | Equations (954) can reduce 426 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (426) ~ (all_0_34_34 = e1)
% 263.37/206.18 | (1717) all_0_34_34 = e0
% 263.37/206.18 |
% 263.37/206.18 | Equations (1717) can reduce 384 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (1035) ~ (all_0_28_28 = e3)
% 263.37/206.18 | (1023) all_0_29_29 = e3
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (1250,1023) yields a new equation:
% 263.37/206.18 | (690) e4 = e3
% 263.37/206.18 |
% 263.37/206.18 | Simplifying 690 yields:
% 263.37/206.18 | (691) e4 = e3
% 263.37/206.18 |
% 263.37/206.18 | Equations (691) can reduce 277 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (1008) ~ (all_0_26_26 = e1)
% 263.37/206.18 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (228), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (921) all_0_16_16 = e1
% 263.37/206.18 |
% 263.37/206.18 | Equations (921) can reduce 985 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (985) ~ (all_0_16_16 = e1)
% 263.37/206.18 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 263.37/206.18 |
% 263.37/206.18 +-Applying beta-rule and splitting (986), into two cases.
% 263.37/206.18 |-Branch one:
% 263.37/206.18 | (526) all_0_21_21 = e1
% 263.37/206.18 |
% 263.37/206.18 | Combining equations (449,526) yields a new equation:
% 263.37/206.18 | (955) e4 = e1
% 263.37/206.18 |
% 263.37/206.18 | Simplifying 955 yields:
% 263.37/206.18 | (480) e4 = e1
% 263.37/206.18 |
% 263.37/206.18 | Equations (480) can reduce 65 to:
% 263.37/206.18 | (366) $false
% 263.37/206.18 |
% 263.37/206.18 |-The branch is then unsatisfiable
% 263.37/206.18 |-Branch two:
% 263.37/206.18 | (363) ~ (all_0_21_21 = e1)
% 263.37/206.18 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 263.40/206.18 |
% 263.40/206.18 +-Applying beta-rule and splitting (998), into two cases.
% 263.40/206.18 |-Branch one:
% 263.40/206.18 | (1005) all_0_26_26 = e1
% 263.40/206.18 |
% 263.40/206.18 | Equations (1005) can reduce 1008 to:
% 263.40/206.18 | (366) $false
% 263.40/206.18 |
% 263.40/206.18 |-The branch is then unsatisfiable
% 263.40/206.18 |-Branch two:
% 263.40/206.18 | (1008) ~ (all_0_26_26 = e1)
% 263.40/206.18 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 263.40/206.18 |
% 263.40/206.18 +-Applying beta-rule and splitting (1009), into two cases.
% 263.40/206.18 |-Branch one:
% 263.40/206.18 | (1010) all_0_31_31 = e1
% 263.40/206.18 |
% 263.40/206.18 | Equations (1010) can reduce 423 to:
% 263.40/206.18 | (366) $false
% 263.40/206.18 |
% 263.40/206.18 |-The branch is then unsatisfiable
% 263.40/206.18 |-Branch two:
% 263.40/206.18 | (423) ~ (all_0_31_31 = e1)
% 263.40/206.18 | (1015) all_0_36_36 = e1
% 263.40/206.18 |
% 263.40/206.18 | Equations (1015) can reduce 183 to:
% 263.40/206.18 | (2561) ~ (all_0_37_37 = e1)
% 263.40/206.18 |
% 263.40/206.18 | Simplifying 2561 yields:
% 263.40/206.18 | (2562) ~ (all_0_37_37 = e1)
% 263.40/206.18 |
% 263.40/206.18 +-Applying beta-rule and splitting (1502), into two cases.
% 263.40/206.18 |-Branch one:
% 263.40/206.18 | (999) all_0_22_22 = e1
% 263.40/206.18 |
% 263.40/206.18 | Equations (999) can reduce 1018 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (1018) ~ (all_0_22_22 = e1)
% 263.40/206.19 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (1566), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (543) all_0_27_27 = e1
% 263.40/206.19 |
% 263.40/206.19 | Combining equations (443,543) yields a new equation:
% 263.40/206.19 | (717) e2 = e1
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 717 yields:
% 263.40/206.19 | (718) e2 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (718) can reduce 329 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (402) ~ (all_0_27_27 = e1)
% 263.40/206.19 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (1586), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1587) all_0_32_32 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (1587) can reduce 424 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (424) ~ (all_0_32_32 = e1)
% 263.40/206.19 | (1590) all_0_37_37 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (1590) can reduce 2562 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (1409) ~ (all_0_20_20 = e1)
% 263.40/206.19 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (4682), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (526) all_0_21_21 = e1
% 263.40/206.19 |
% 263.40/206.19 | Combining equations (449,526) yields a new equation:
% 263.40/206.19 | (955) e4 = e1
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 955 yields:
% 263.40/206.19 | (480) e4 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (480) can reduce 65 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (363) ~ (all_0_21_21 = e1)
% 263.40/206.19 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (4688), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (999) all_0_22_22 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (999) can reduce 211 to:
% 263.40/206.19 | (1409) ~ (all_0_20_20 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Equations (999) can reduce 63 to:
% 263.40/206.19 | (4691) ~ (all_0_32_32 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 4691 yields:
% 263.40/206.19 | (424) ~ (all_0_32_32 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Equations (999) can reduce 202 to:
% 263.40/206.19 | (2561) ~ (all_0_37_37 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 2561 yields:
% 263.40/206.19 | (2562) ~ (all_0_37_37 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Equations (999) can reduce 576 to:
% 263.40/206.19 | (477) ~ (e4 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 477 yields:
% 263.40/206.19 | (65) ~ (e4 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Equations (999) can reduce 493 to:
% 263.40/206.19 | (1002) ~ (e2 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 1002 yields:
% 263.40/206.19 | (329) ~ (e2 = e1)
% 263.40/206.19 |
% 263.40/206.19 | From (999) and (234) follows:
% 263.40/206.19 | (4699) op(e1, all_0_26_26) = e2
% 263.40/206.19 |
% 263.40/206.19 | Instantiating formula (97) with e1, e1, e2, e1 and discharging atoms op(e1, e1) = e1, yields:
% 263.40/206.19 | (4700) e2 = e1 | ~ (op(e1, e1) = e2)
% 263.40/206.19 |
% 263.40/206.19 | Instantiating formula (97) with e1, e0, e2, all_0_34_34 and discharging atoms op(e1, e0) = all_0_34_34, yields:
% 263.40/206.19 | (4701) all_0_34_34 = e2 | ~ (op(e1, e0) = e2)
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (231), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1453) all_0_20_20 = e4
% 263.40/206.19 |
% 263.40/206.19 | Equations (1453) can reduce 496 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (496) ~ (all_0_20_20 = e4)
% 263.40/206.19 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (232), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1970) all_0_17_17 = e3
% 263.40/206.19 |
% 263.40/206.19 | Equations (1970) can reduce 558 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (558) ~ (all_0_17_17 = e3)
% 263.40/206.19 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (327), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (768) all_0_30_30 = e4
% 263.40/206.19 |
% 263.40/206.19 | Equations (768) can reduce 96 to:
% 263.40/206.19 | (1159) ~ (all_0_35_35 = e4)
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 1159 yields:
% 263.40/206.19 | (514) ~ (all_0_35_35 = e4)
% 263.40/206.19 |
% 263.40/206.19 | Equations (768) can reduce 422 to:
% 263.40/206.19 | (65) ~ (e4 = e1)
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (230), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (927) all_0_19_19 = e3
% 263.40/206.19 |
% 263.40/206.19 | Combining equations (927,716) yields a new equation:
% 263.40/206.19 | (933) e3 = e1
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 933 yields:
% 263.40/206.19 | (706) e3 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (706) can reduce 318 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (562) ~ (all_0_19_19 = e3)
% 263.40/206.19 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 263.40/206.19 |
% 263.40/206.19 | Equations (716) can reduce 562 to:
% 263.40/206.19 | (429) ~ (e3 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 429 yields:
% 263.40/206.19 | (318) ~ (e3 = e1)
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (165), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1161) all_0_35_35 = e4
% 263.40/206.19 |
% 263.40/206.19 | Equations (1161) can reduce 514 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (514) ~ (all_0_35_35 = e4)
% 263.40/206.19 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (126), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (950) all_0_25_25 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (950) can reduce 98 to:
% 263.40/206.19 | (1176) ~ (all_0_35_35 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 1176 yields:
% 263.40/206.19 | (1177) ~ (all_0_35_35 = e1)
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (16), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1196) all_0_35_35 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (1196) can reduce 1177 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (1177) ~ (all_0_35_35 = e1)
% 263.40/206.19 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (122), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1161) all_0_35_35 = e4
% 263.40/206.19 |
% 263.40/206.19 | Equations (1161) can reduce 514 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (514) ~ (all_0_35_35 = e4)
% 263.40/206.19 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (1181), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (814) all_0_35_35 = e3
% 263.40/206.19 |
% 263.40/206.19 | Equations (814) can reduce 570 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (570) ~ (all_0_35_35 = e3)
% 263.40/206.19 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (1185), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (797) all_0_35_35 = e2
% 263.40/206.19 |
% 263.40/206.19 | From (797) and (4338) follows:
% 263.40/206.19 | (4742) op(e2, e1) = e4
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (4341), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (4743) ~ (op(e2, e1) = e4)
% 263.40/206.19 |
% 263.40/206.19 | Using (4742) and (4743) yields:
% 263.40/206.19 | (821) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (4742) op(e2, e1) = e4
% 263.40/206.19 | (892) all_0_28_28 = e4
% 263.40/206.19 |
% 263.40/206.19 | Equations (892) can reduce 890 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (742) ~ (all_0_35_35 = e2)
% 263.40/206.19 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (1195), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1196) all_0_35_35 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (1196) can reduce 1177 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (1177) ~ (all_0_35_35 = e1)
% 263.40/206.19 | (1203) all_0_35_35 = e0
% 263.40/206.19 |
% 263.40/206.19 | Equations (1203) can reduce 385 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (946) ~ (all_0_25_25 = e1)
% 263.40/206.19 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (29), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (476) all_0_15_15 = e1
% 263.40/206.19 |
% 263.40/206.19 | Combining equations (476,468) yields a new equation:
% 263.40/206.19 | (706) e3 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (706) can reduce 318 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (482) ~ (all_0_15_15 = e1)
% 263.40/206.19 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (2009), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1005) all_0_26_26 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (1005) can reduce 647 to:
% 263.40/206.19 | (1002) ~ (e2 = e1)
% 263.40/206.19 |
% 263.40/206.19 | Simplifying 1002 yields:
% 263.40/206.19 | (329) ~ (e2 = e1)
% 263.40/206.19 |
% 263.40/206.19 | From (1005) and (4699) follows:
% 263.40/206.19 | (4765) op(e1, e1) = e2
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (4700), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (4766) ~ (op(e1, e1) = e2)
% 263.40/206.19 |
% 263.40/206.19 | Using (4765) and (4766) yields:
% 263.40/206.19 | (821) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (4765) op(e1, e1) = e2
% 263.40/206.19 | (718) e2 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (718) can reduce 329 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (1008) ~ (all_0_26_26 = e1)
% 263.40/206.19 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (937), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.19 | (1175) all_0_20_20 = e1
% 263.40/206.19 |
% 263.40/206.19 | Equations (1175) can reduce 1409 to:
% 263.40/206.19 | (366) $false
% 263.40/206.19 |
% 263.40/206.19 |-The branch is then unsatisfiable
% 263.40/206.19 |-Branch two:
% 263.40/206.19 | (1409) ~ (all_0_20_20 = e1)
% 263.40/206.19 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 263.40/206.19 |
% 263.40/206.19 +-Applying beta-rule and splitting (1656), into two cases.
% 263.40/206.19 |-Branch one:
% 263.40/206.20 | (950) all_0_25_25 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (950) can reduce 946 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (946) ~ (all_0_25_25 = e1)
% 263.40/206.20 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (1676), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (787) all_0_30_30 = e1
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (787,768) yields a new equation:
% 263.40/206.20 | (480) e4 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (480) can reduce 65 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (422) ~ (all_0_30_30 = e1)
% 263.40/206.20 | (1196) all_0_35_35 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (1196) can reduce 514 to:
% 263.40/206.20 | (477) ~ (e4 = e1)
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 477 yields:
% 263.40/206.20 | (65) ~ (e4 = e1)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (2035), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (543) all_0_27_27 = e1
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (443,543) yields a new equation:
% 263.40/206.20 | (717) e2 = e1
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 717 yields:
% 263.40/206.20 | (718) e2 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (718) can reduce 329 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (402) ~ (all_0_27_27 = e1)
% 263.40/206.20 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (2041), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (1041) all_0_28_28 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (1041) can reduce 421 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (421) ~ (all_0_28_28 = e1)
% 263.40/206.20 | (945) all_0_29_29 = e1
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (1250,945) yields a new equation:
% 263.40/206.20 | (955) e4 = e1
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 955 yields:
% 263.40/206.20 | (480) e4 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (480) can reduce 65 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (509) ~ (all_0_30_30 = e4)
% 263.40/206.20 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (8), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (464) all_0_15_15 = e4
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (468,464) yields a new equation:
% 263.40/206.20 | (691) e4 = e3
% 263.40/206.20 |
% 263.40/206.20 | Equations (691) can reduce 277 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (460) ~ (all_0_15_15 = e4)
% 263.40/206.20 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (914), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (1453) all_0_20_20 = e4
% 263.40/206.20 |
% 263.40/206.20 | Equations (1453) can reduce 496 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (496) ~ (all_0_20_20 = e4)
% 263.40/206.20 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (1437), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (1446) all_0_31_31 = e4
% 263.40/206.20 |
% 263.40/206.20 | Equations (1446) can reduce 584 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (584) ~ (all_0_31_31 = e4)
% 263.40/206.20 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (1449), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (1229) all_0_32_32 = e4
% 263.40/206.20 |
% 263.40/206.20 | Equations (1229) can reduce 186 to:
% 263.40/206.20 | (509) ~ (all_0_30_30 = e4)
% 263.40/206.20 |
% 263.40/206.20 | Equations (1229) can reduce 508 to:
% 263.40/206.20 | (19) ~ (e4 = e2)
% 263.40/206.20 |
% 263.40/206.20 | Equations (1229) can reduce 424 to:
% 263.40/206.20 | (65) ~ (e4 = e1)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (1456), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (1158) all_0_25_25 = e4
% 263.40/206.20 |
% 263.40/206.20 | Equations (1158) can reduce 501 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (501) ~ (all_0_25_25 = e4)
% 263.40/206.20 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (1460), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (768) all_0_30_30 = e4
% 263.40/206.20 |
% 263.40/206.20 | Equations (768) can reduce 509 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (509) ~ (all_0_30_30 = e4)
% 263.40/206.20 | (1161) all_0_35_35 = e4
% 263.40/206.20 |
% 263.40/206.20 | Equations (1161) can reduce 96 to:
% 263.40/206.20 | (509) ~ (all_0_30_30 = e4)
% 263.40/206.20 |
% 263.40/206.20 | Equations (1161) can reduce 385 to:
% 263.40/206.20 | (287) ~ (e4 = e0)
% 263.40/206.20 |
% 263.40/206.20 | From (1161) and (4338) follows:
% 263.40/206.20 | (1807) op(e4, e1) = e4
% 263.40/206.20 |
% 263.40/206.20 | From (1161) and (4337) follows:
% 263.40/206.20 | (4831) op(e1, e4) = e0
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (1973), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (857) all_0_22_22 = e3
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (999,857) yields a new equation:
% 263.40/206.20 | (706) e3 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (706) can reduce 318 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (774) ~ (all_0_22_22 = e3)
% 263.40/206.20 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 263.40/206.20 |
% 263.40/206.20 | Equations (999) can reduce 774 to:
% 263.40/206.20 | (429) ~ (e3 = e1)
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 429 yields:
% 263.40/206.20 | (318) ~ (e3 = e1)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (3115), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (439) all_0_27_27 = e3
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (443,439) yields a new equation:
% 263.40/206.20 | (764) e3 = e2
% 263.40/206.20 |
% 263.40/206.20 | Equations (764) can reduce 56 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (400) ~ (all_0_27_27 = e3)
% 263.40/206.20 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (16), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (1196) all_0_35_35 = e1
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (1196,1161) yields a new equation:
% 263.40/206.20 | (480) e4 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (480) can reduce 65 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (1177) ~ (all_0_35_35 = e1)
% 263.40/206.20 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (1199), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (1015) all_0_36_36 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (1015) can reduce 386 to:
% 263.40/206.20 | (37) ~ (e1 = e0)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (126), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (950) all_0_25_25 = e1
% 263.40/206.20 |
% 263.40/206.20 | Equations (950) can reduce 58 to:
% 263.40/206.20 | (3387) ~ (all_0_30_30 = e1)
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 3387 yields:
% 263.40/206.20 | (422) ~ (all_0_30_30 = e1)
% 263.40/206.20 |
% 263.40/206.20 | Equations (950) can reduce 646 to:
% 263.40/206.20 | (1002) ~ (e2 = e1)
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 1002 yields:
% 263.40/206.20 | (329) ~ (e2 = e1)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (214), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (797) all_0_35_35 = e2
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (1161,797) yields a new equation:
% 263.40/206.20 | (1111) e4 = e2
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 1111 yields:
% 263.40/206.20 | (539) e4 = e2
% 263.40/206.20 |
% 263.40/206.20 | Equations (539) can reduce 19 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (742) ~ (all_0_35_35 = e2)
% 263.40/206.20 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 263.40/206.20 |
% 263.40/206.20 | Equations (1161) can reduce 742 to:
% 263.40/206.20 | (19) ~ (e4 = e2)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (4340), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (4863) ~ (op(e4, e1) = e4)
% 263.40/206.20 |
% 263.40/206.20 | Using (1807) and (4863) yields:
% 263.40/206.20 | (821) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (1807) op(e4, e1) = e4
% 263.40/206.20 | (887) all_0_18_18 = e4
% 263.40/206.20 |
% 263.40/206.20 | Equations (887) can reduce 560 to:
% 263.40/206.20 | (277) ~ (e4 = e3)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (222), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (823) all_0_17_17 = e0
% 263.40/206.20 |
% 263.40/206.20 | Equations (823) can reduce 169 to:
% 263.40/206.20 | (824) ~ (all_0_16_16 = e0)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (2791), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (697) all_0_16_16 = e2
% 263.40/206.20 |
% 263.40/206.20 | Equations (697) can reduce 824 to:
% 263.40/206.20 | (347) ~ (e2 = e0)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (3120), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (772) all_0_32_32 = e3
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (1229,772) yields a new equation:
% 263.40/206.20 | (690) e4 = e3
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 690 yields:
% 263.40/206.20 | (691) e4 = e3
% 263.40/206.20 |
% 263.40/206.20 | Equations (691) can reduce 277 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (1089) ~ (all_0_32_32 = e3)
% 263.40/206.20 | (1073) all_0_37_37 = e3
% 263.40/206.20 |
% 263.40/206.20 | From (1073) and (4364) follows:
% 263.40/206.20 | (1314) op(e4, e3) = e0
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (734), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (1315) ~ (op(e4, e3) = e0)
% 263.40/206.20 |
% 263.40/206.20 | Using (1314) and (1315) yields:
% 263.40/206.20 | (821) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (1314) op(e4, e3) = e0
% 263.40/206.20 | (873) all_0_16_16 = e0
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (873,697) yields a new equation:
% 263.40/206.20 | (551) e2 = e0
% 263.40/206.20 |
% 263.40/206.20 | Equations (551) can reduce 347 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (664) ~ (all_0_16_16 = e2)
% 263.40/206.20 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (340), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (697) all_0_16_16 = e2
% 263.40/206.20 |
% 263.40/206.20 | Equations (697) can reduce 664 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (664) ~ (all_0_16_16 = e2)
% 263.40/206.20 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (4342), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (4891) ~ (op(e1, e4) = e0)
% 263.40/206.20 |
% 263.40/206.20 | Using (4831) and (4891) yields:
% 263.40/206.20 | (821) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (4831) op(e1, e4) = e0
% 263.40/206.20 | (790) all_0_30_30 = e0
% 263.40/206.20 |
% 263.40/206.20 | Equations (790) can reduce 217 to:
% 263.40/206.20 | (1856) ~ (all_0_31_31 = e0)
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 1856 yields:
% 263.40/206.20 | (1064) ~ (all_0_31_31 = e0)
% 263.40/206.20 |
% 263.40/206.20 | Equations (790) can reduce 509 to:
% 263.40/206.20 | (389) ~ (e4 = e0)
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 389 yields:
% 263.40/206.20 | (287) ~ (e4 = e0)
% 263.40/206.20 |
% 263.40/206.20 | Equations (790) can reduce 422 to:
% 263.40/206.20 | (395) ~ (e1 = e0)
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 395 yields:
% 263.40/206.20 | (37) ~ (e1 = e0)
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (700), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (522) all_0_21_21 = e2
% 263.40/206.20 |
% 263.40/206.20 | Combining equations (449,522) yields a new equation:
% 263.40/206.20 | (1111) e4 = e2
% 263.40/206.20 |
% 263.40/206.20 | Simplifying 1111 yields:
% 263.40/206.20 | (539) e4 = e2
% 263.40/206.20 |
% 263.40/206.20 | Equations (539) can reduce 19 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (361) ~ (all_0_21_21 = e2)
% 263.40/206.20 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (2289), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (2380) all_0_26_26 = e2
% 263.40/206.20 |
% 263.40/206.20 | Equations (2380) can reduce 647 to:
% 263.40/206.20 | (366) $false
% 263.40/206.20 |
% 263.40/206.20 |-The branch is then unsatisfiable
% 263.40/206.20 |-Branch two:
% 263.40/206.20 | (647) ~ (all_0_26_26 = e2)
% 263.40/206.20 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 263.40/206.20 |
% 263.40/206.20 +-Applying beta-rule and splitting (2383), into two cases.
% 263.40/206.20 |-Branch one:
% 263.40/206.20 | (751) all_0_31_31 = e2
% 263.40/206.20 |
% 263.40/206.20 | Equations (751) can reduce 188 to:
% 263.40/206.20 | (671) ~ (all_0_34_34 = e2)
% 263.40/206.21 |
% 263.40/206.21 | Simplifying 671 yields:
% 263.40/206.21 | (672) ~ (all_0_34_34 = e2)
% 263.40/206.21 |
% 263.40/206.21 | Equations (751) can reduce 1064 to:
% 263.40/206.21 | (347) ~ (e2 = e0)
% 263.40/206.21 |
% 263.40/206.21 +-Applying beta-rule and splitting (279), into two cases.
% 263.40/206.21 |-Branch one:
% 263.40/206.21 | (873) all_0_16_16 = e0
% 263.40/206.21 |
% 263.40/206.21 | Equations (873) can reduce 824 to:
% 263.40/206.21 | (366) $false
% 263.40/206.21 |
% 263.40/206.21 |-The branch is then unsatisfiable
% 263.40/206.21 |-Branch two:
% 263.40/206.21 | (824) ~ (all_0_16_16 = e0)
% 263.40/206.21 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.40/206.21 |
% 263.40/206.21 +-Applying beta-rule and splitting (876), into two cases.
% 263.40/206.21 |-Branch one:
% 263.40/206.21 | (529) all_0_21_21 = e0
% 263.40/206.21 |
% 263.40/206.21 | Combining equations (449,529) yields a new equation:
% 263.40/206.21 | (842) e4 = e0
% 263.47/206.21 |
% 263.47/206.21 | Simplifying 842 yields:
% 263.47/206.21 | (490) e4 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (490) can reduce 287 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (398) ~ (all_0_21_21 = e0)
% 263.47/206.21 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (882), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (883) all_0_26_26 = e0
% 263.47/206.21 |
% 263.47/206.21 | From (883) and (4699) follows:
% 263.47/206.21 | (4926) op(e1, e0) = e2
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (4701), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (4927) ~ (op(e1, e0) = e2)
% 263.47/206.21 |
% 263.47/206.21 | Using (4926) and (4927) yields:
% 263.47/206.21 | (821) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (4926) op(e1, e0) = e2
% 263.47/206.21 | (1110) all_0_34_34 = e2
% 263.47/206.21 |
% 263.47/206.21 | Equations (1110) can reduce 672 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1058) ~ (all_0_26_26 = e0)
% 263.47/206.21 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (1059), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (1060) all_0_31_31 = e0
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (751,1060) yields a new equation:
% 263.47/206.21 | (836) e2 = e0
% 263.47/206.21 |
% 263.47/206.21 | Simplifying 836 yields:
% 263.47/206.21 | (551) e2 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (551) can reduce 347 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1064) ~ (all_0_31_31 = e0)
% 263.47/206.21 | (1065) all_0_36_36 = e0
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (1065,1015) yields a new equation:
% 263.47/206.21 | (961) e1 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (961) can reduce 37 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1099) ~ (all_0_31_31 = e2)
% 263.47/206.21 | (801) all_0_36_36 = e2
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (1015,801) yields a new equation:
% 263.47/206.21 | (718) e2 = e1
% 263.47/206.21 |
% 263.47/206.21 | Equations (718) can reduce 329 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (2422) ~ (all_0_17_17 = e0)
% 263.47/206.21 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (3120), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (772) all_0_32_32 = e3
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (1229,772) yields a new equation:
% 263.47/206.21 | (690) e4 = e3
% 263.47/206.21 |
% 263.47/206.21 | Simplifying 690 yields:
% 263.47/206.21 | (691) e4 = e3
% 263.47/206.21 |
% 263.47/206.21 | Equations (691) can reduce 277 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1089) ~ (all_0_32_32 = e3)
% 263.47/206.21 | (1073) all_0_37_37 = e3
% 263.47/206.21 |
% 263.47/206.21 | Equations (1073) can reduce 387 to:
% 263.47/206.21 | (88) ~ (e3 = e0)
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (2515), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (847) all_0_22_22 = e0
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (999,847) yields a new equation:
% 263.47/206.21 | (960) e1 = e0
% 263.47/206.21 |
% 263.47/206.21 | Simplifying 960 yields:
% 263.47/206.21 | (961) e1 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (961) can reduce 37 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (826) ~ (all_0_22_22 = e0)
% 263.47/206.21 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (3101), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (546) all_0_27_27 = e0
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (443,546) yields a new equation:
% 263.47/206.21 | (836) e2 = e0
% 263.47/206.21 |
% 263.47/206.21 | Simplifying 836 yields:
% 263.47/206.21 | (551) e2 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (551) can reduce 347 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (434) ~ (all_0_27_27 = e0)
% 263.47/206.21 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (3107), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (1626) all_0_32_32 = e0
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (1626,1229) yields a new equation:
% 263.47/206.21 | (490) e4 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (490) can reduce 287 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1946) ~ (all_0_32_32 = e0)
% 263.47/206.21 | (3111) all_0_37_37 = e0
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (1073,3111) yields a new equation:
% 263.47/206.21 | (979) e3 = e0
% 263.47/206.21 |
% 263.47/206.21 | Simplifying 979 yields:
% 263.47/206.21 | (980) e3 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (980) can reduce 88 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (946) ~ (all_0_25_25 = e1)
% 263.47/206.21 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (29), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (476) all_0_15_15 = e1
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (476,468) yields a new equation:
% 263.47/206.21 | (706) e3 = e1
% 263.47/206.21 |
% 263.47/206.21 | Equations (706) can reduce 318 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (482) ~ (all_0_15_15 = e1)
% 263.47/206.21 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (36), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (887) all_0_18_18 = e4
% 263.47/206.21 |
% 263.47/206.21 | Equations (887) can reduce 419 to:
% 263.47/206.21 | (65) ~ (e4 = e1)
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (937), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (1175) all_0_20_20 = e1
% 263.47/206.21 |
% 263.47/206.21 | Equations (1175) can reduce 1409 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1409) ~ (all_0_20_20 = e1)
% 263.47/206.21 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (1656), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (950) all_0_25_25 = e1
% 263.47/206.21 |
% 263.47/206.21 | Equations (950) can reduce 946 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (946) ~ (all_0_25_25 = e1)
% 263.47/206.21 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (4342), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (4891) ~ (op(e1, e4) = e0)
% 263.47/206.21 |
% 263.47/206.21 | Using (4831) and (4891) yields:
% 263.47/206.21 | (821) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (4831) op(e1, e4) = e0
% 263.47/206.21 | (790) all_0_30_30 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (790) can reduce 422 to:
% 263.47/206.21 | (395) ~ (e1 = e0)
% 263.47/206.21 |
% 263.47/206.21 | Simplifying 395 yields:
% 263.47/206.21 | (37) ~ (e1 = e0)
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (1676), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (787) all_0_30_30 = e1
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (790,787) yields a new equation:
% 263.47/206.21 | (961) e1 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (961) can reduce 37 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (422) ~ (all_0_30_30 = e1)
% 263.47/206.21 | (1196) all_0_35_35 = e1
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (1196,1161) yields a new equation:
% 263.47/206.21 | (480) e4 = e1
% 263.47/206.21 |
% 263.47/206.21 | Equations (480) can reduce 65 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1046) ~ (all_0_18_18 = e4)
% 263.47/206.21 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (4340), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (4863) ~ (op(e4, e1) = e4)
% 263.47/206.21 |
% 263.47/206.21 | Using (1807) and (4863) yields:
% 263.47/206.21 | (821) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1807) op(e4, e1) = e4
% 263.47/206.21 | (887) all_0_18_18 = e4
% 263.47/206.21 |
% 263.47/206.21 | Equations (887) can reduce 1046 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (1593) ~ (all_0_36_36 = e1)
% 263.47/206.21 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (2672), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (1590) all_0_37_37 = e1
% 263.47/206.21 |
% 263.47/206.21 | Equations (1590) can reduce 2562 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (2562) ~ (all_0_37_37 = e1)
% 263.47/206.21 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 263.47/206.21 |
% 263.47/206.21 +-Applying beta-rule and splitting (2676), into two cases.
% 263.47/206.21 |-Branch one:
% 263.47/206.21 | (1211) all_0_38_38 = e1
% 263.47/206.21 |
% 263.47/206.21 | Equations (1211) can reduce 428 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.21 |-Branch two:
% 263.47/206.21 | (428) ~ (all_0_38_38 = e1)
% 263.47/206.21 | (377) all_0_39_39 = e1
% 263.47/206.21 |
% 263.47/206.21 | Combining equations (380,377) yields a new equation:
% 263.47/206.21 | (961) e1 = e0
% 263.47/206.21 |
% 263.47/206.21 | Equations (961) can reduce 37 to:
% 263.47/206.21 | (366) $false
% 263.47/206.21 |
% 263.47/206.21 |-The branch is then unsatisfiable
% 263.47/206.22 |-Branch two:
% 263.47/206.22 | (727) ~ (all_0_32_32 = e4)
% 263.47/206.22 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 263.47/206.22 |
% 263.47/206.22 +-Applying beta-rule and splitting (1476), into two cases.
% 263.47/206.22 |-Branch one:
% 263.47/206.22 | (406) all_0_33_33 = e4
% 263.47/206.22 |
% 263.47/206.22 | Combining equations (418,406) yields a new equation:
% 263.47/206.22 | (480) e4 = e1
% 263.47/206.22 |
% 263.47/206.22 | Equations (480) can reduce 65 to:
% 263.47/206.22 | (366) $false
% 263.47/206.22 |
% 263.47/206.22 |-The branch is then unsatisfiable
% 263.47/206.22 |-Branch two:
% 263.47/206.22 | (405) ~ (all_0_33_33 = e4)
% 263.47/206.22 | (723) all_0_34_34 = e4
% 263.47/206.22 |
% 263.47/206.22 | Equations (723) can reduce 1395 to:
% 263.47/206.22 | (366) $false
% 263.47/206.22 |
% 263.47/206.22 |-The branch is then unsatisfiable
% 263.47/206.22 |-Branch two:
% 263.47/206.22 | (1018) ~ (all_0_22_22 = e1)
% 263.47/206.22 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 263.47/206.22 |
% 263.47/206.22 +-Applying beta-rule and splitting (5033), into two cases.
% 263.47/206.22 |-Branch one:
% 263.47/206.22 | (3952) all_0_23_23 = e1
% 263.47/206.22 |
% 263.47/206.22 | Equations (3952) can reduce 420 to:
% 263.47/206.22 | (366) $false
% 263.47/206.22 |
% 263.47/206.22 |-The branch is then unsatisfiable
% 263.47/206.22 |-Branch two:
% 263.47/206.22 | (420) ~ (all_0_23_23 = e1)
% 263.47/206.22 | (940) all_0_24_24 = e1
% 263.47/206.22 |
% 263.47/206.22 | Equations (940) can reduce 943 to:
% 263.47/206.22 | (366) $false
% 263.47/206.22 |
% 263.47/206.22 |-The branch is then unsatisfiable
% 263.47/206.22 |-Branch two:
% 263.47/206.22 | (724) ~ (all_0_29_29 = e4)
% 263.47/206.22 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.47/206.22 |
% 263.47/206.22 +-Applying beta-rule and splitting (2812), into two cases.
% 263.47/206.22 |-Branch one:
% 263.47/206.22 | (1023) all_0_29_29 = e3
% 263.47/206.22 |
% 263.47/206.22 | Equations (1023) can reduce 85 to:
% 263.47/206.22 | (963) ~ (all_0_24_24 = e3)
% 263.47/206.22 |
% 263.47/206.22 | Equations (1023) can reduce 62 to:
% 263.47/206.22 | (566) ~ (all_0_25_25 = e3)
% 263.47/206.22 |
% 263.47/206.22 | Equations (1023) can reduce 38 to:
% 263.47/206.22 | (504) ~ (all_0_26_26 = e3)
% 263.47/206.22 |
% 263.47/206.22 | Equations (1023) can reduce 73 to:
% 263.47/206.22 | (1035) ~ (all_0_28_28 = e3)
% 263.47/206.22 |
% 263.47/206.22 | Equations (1023) can reduce 41 to:
% 263.47/206.22 | (2981) ~ (all_0_34_34 = e3)
% 263.47/206.22 |
% 263.51/206.22 | Simplifying 2981 yields:
% 263.51/206.22 | (1031) ~ (all_0_34_34 = e3)
% 263.51/206.22 |
% 263.51/206.22 | Equations (1023) can reduce 724 to:
% 263.51/206.22 | (695) ~ (e4 = e3)
% 263.51/206.22 |
% 263.51/206.22 | Simplifying 695 yields:
% 263.51/206.22 | (277) ~ (e4 = e3)
% 263.51/206.22 |
% 263.51/206.22 | Equations (1023) can reduce 952 to:
% 263.51/206.22 | (318) ~ (e3 = e1)
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (688), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (939) all_0_24_24 = e3
% 263.51/206.22 |
% 263.51/206.22 | Equations (939) can reduce 963 to:
% 263.51/206.22 | (366) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (963) ~ (all_0_24_24 = e3)
% 263.51/206.22 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (715), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (685) all_0_24_24 = e4
% 263.51/206.22 |
% 263.51/206.22 | Equations (685) can reduce 580 to:
% 263.51/206.22 | (366) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (580) ~ (all_0_24_24 = e4)
% 263.51/206.22 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (968), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (1393) all_0_24_24 = e2
% 263.51/206.22 |
% 263.51/206.22 | Equations (1393) can reduce 118 to:
% 263.51/206.22 | (810) ~ (all_0_23_23 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Equations (1393) can reduce 4 to:
% 263.51/206.22 | (671) ~ (all_0_34_34 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Simplifying 671 yields:
% 263.51/206.22 | (672) ~ (all_0_34_34 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Equations (1393) can reduce 963 to:
% 263.51/206.22 | (658) ~ (e3 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Simplifying 658 yields:
% 263.51/206.22 | (56) ~ (e3 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Equations (1393) can reduce 943 to:
% 263.51/206.22 | (329) ~ (e2 = e1)
% 263.51/206.22 |
% 263.51/206.22 | From (1393) and (158) follows:
% 263.51/206.22 | (5066) op(e2, all_0_36_36) = e0
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (83), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (723) all_0_34_34 = e4
% 263.51/206.22 |
% 263.51/206.22 | Equations (723) can reduce 15 to:
% 263.51/206.22 | (509) ~ (all_0_30_30 = e4)
% 263.51/206.22 |
% 263.51/206.22 | Equations (723) can reduce 188 to:
% 263.51/206.22 | (584) ~ (all_0_31_31 = e4)
% 263.51/206.22 |
% 263.51/206.22 | Equations (723) can reduce 1031 to:
% 263.51/206.22 | (277) ~ (e4 = e3)
% 263.51/206.22 |
% 263.51/206.22 | Equations (723) can reduce 672 to:
% 263.51/206.22 | (19) ~ (e4 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Equations (723) can reduce 426 to:
% 263.51/206.22 | (65) ~ (e4 = e1)
% 263.51/206.22 |
% 263.51/206.22 | From (723) and (312) follows:
% 263.51/206.22 | (731) op(all_0_38_38, e4) = e1
% 263.51/206.22 |
% 263.51/206.22 | Instantiating formula (97) with e2, e4, e1, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 263.51/206.22 | (733) all_0_25_25 = e1 | ~ (op(e2, e4) = e1)
% 263.51/206.22 |
% 263.51/206.22 | Instantiating formula (97) with e2, e3, e0, all_0_26_26 and discharging atoms op(e2, e3) = all_0_26_26, yields:
% 263.51/206.22 | (5075) all_0_26_26 = e0 | ~ (op(e2, e3) = e0)
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (59), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (865) all_0_17_17 = e4
% 263.51/206.22 |
% 263.51/206.22 | Equations (865) can reduce 286 to:
% 263.51/206.22 | (1495) ~ (all_0_32_32 = e4)
% 263.51/206.22 |
% 263.51/206.22 | Simplifying 1495 yields:
% 263.51/206.22 | (727) ~ (all_0_32_32 = e4)
% 263.51/206.22 |
% 263.51/206.22 | Equations (865) can reduce 558 to:
% 263.51/206.22 | (277) ~ (e4 = e3)
% 263.51/206.22 |
% 263.51/206.22 | Equations (865) can reduce 459 to:
% 263.51/206.22 | (19) ~ (e4 = e2)
% 263.51/206.22 |
% 263.51/206.22 | From (865) and (57) follows:
% 263.51/206.22 | (1273) op(e4, all_0_25_25) = e2
% 263.51/206.22 |
% 263.51/206.22 | From (865) and (49) follows:
% 263.51/206.22 | (5082) op(all_0_25_25, e4) = e4
% 263.51/206.22 |
% 263.51/206.22 | Instantiating formula (97) with e1, e4, e4, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 263.51/206.22 | (2806) all_0_30_30 = e4 | ~ (op(e1, e4) = e4)
% 263.51/206.22 |
% 263.51/206.22 | Instantiating formula (97) with e4, e4, e2, e3 and discharging atoms op(e4, e4) = e3, yields:
% 263.51/206.22 | (1305) e3 = e2 | ~ (op(e4, e4) = e2)
% 263.51/206.22 |
% 263.51/206.22 | Instantiating formula (97) with e4, e0, e2, e1 and discharging atoms op(e4, e0) = e1, yields:
% 263.51/206.22 | (5085) e2 = e1 | ~ (op(e4, e0) = e2)
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (155), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (759) all_0_30_30 = e3
% 263.51/206.22 |
% 263.51/206.22 | Equations (759) can reduce 568 to:
% 263.51/206.22 | (366) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (568) ~ (all_0_30_30 = e3)
% 263.51/206.22 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (126), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (950) all_0_25_25 = e1
% 263.51/206.22 |
% 263.51/206.22 | From (950) and (5082) follows:
% 263.51/206.22 | (4267) op(e1, e4) = e4
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (2806), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (4268) ~ (op(e1, e4) = e4)
% 263.51/206.22 |
% 263.51/206.22 | Using (4267) and (4268) yields:
% 263.51/206.22 | (821) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (4267) op(e1, e4) = e4
% 263.51/206.22 | (768) all_0_30_30 = e4
% 263.51/206.22 |
% 263.51/206.22 | Equations (768) can reduce 509 to:
% 263.51/206.22 | (366) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (946) ~ (all_0_25_25 = e1)
% 263.51/206.22 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (2009), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (1005) all_0_26_26 = e1
% 263.51/206.22 |
% 263.51/206.22 | Equations (1005) can reduce 128 to:
% 263.51/206.22 | (946) ~ (all_0_25_25 = e1)
% 263.51/206.22 |
% 263.51/206.22 | Equations (1005) can reduce 145 to:
% 263.51/206.22 | (1613) ~ (all_0_31_31 = e1)
% 263.51/206.22 |
% 263.51/206.22 | Simplifying 1613 yields:
% 263.51/206.22 | (423) ~ (all_0_31_31 = e1)
% 263.51/206.22 |
% 263.51/206.22 | Equations (1005) can reduce 504 to:
% 263.51/206.22 | (429) ~ (e3 = e1)
% 263.51/206.22 |
% 263.51/206.22 | Simplifying 429 yields:
% 263.51/206.22 | (318) ~ (e3 = e1)
% 263.51/206.22 |
% 263.51/206.22 | Equations (1005) can reduce 647 to:
% 263.51/206.22 | (1002) ~ (e2 = e1)
% 263.51/206.22 |
% 263.51/206.22 | Simplifying 1002 yields:
% 263.51/206.22 | (329) ~ (e2 = e1)
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (215), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (747) all_0_30_30 = e2
% 263.51/206.22 |
% 263.51/206.22 | Equations (747) can reduce 58 to:
% 263.51/206.22 | (646) ~ (all_0_25_25 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Equations (747) can reduce 568 to:
% 263.51/206.22 | (658) ~ (e3 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Simplifying 658 yields:
% 263.51/206.22 | (56) ~ (e3 = e2)
% 263.51/206.22 |
% 263.51/206.22 | Equations (747) can reduce 422 to:
% 263.51/206.22 | (329) ~ (e2 = e1)
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (285), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (1158) all_0_25_25 = e4
% 263.51/206.22 |
% 263.51/206.22 | From (1158) and (1273) follows:
% 263.51/206.22 | (1335) op(e4, e4) = e2
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (1305), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (1336) ~ (op(e4, e4) = e2)
% 263.51/206.22 |
% 263.51/206.22 | Using (1335) and (1336) yields:
% 263.51/206.22 | (821) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (1335) op(e4, e4) = e2
% 263.51/206.22 | (764) e3 = e2
% 263.51/206.22 |
% 263.51/206.22 | Equations (764) can reduce 56 to:
% 263.51/206.22 | (366) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (501) ~ (all_0_25_25 = e4)
% 263.51/206.22 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (245), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (1158) all_0_25_25 = e4
% 263.51/206.22 |
% 263.51/206.22 | Equations (1158) can reduce 501 to:
% 263.51/206.22 | (366) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (501) ~ (all_0_25_25 = e4)
% 263.51/206.22 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 263.51/206.22 |
% 263.51/206.22 +-Applying beta-rule and splitting (3136), into two cases.
% 263.51/206.22 |-Branch one:
% 263.51/206.22 | (2438) all_0_25_25 = e3
% 263.51/206.22 |
% 263.51/206.22 | Equations (2438) can reduce 566 to:
% 263.51/206.22 | (366) $false
% 263.51/206.22 |
% 263.51/206.22 |-The branch is then unsatisfiable
% 263.51/206.22 |-Branch two:
% 263.51/206.22 | (566) ~ (all_0_25_25 = e3)
% 263.51/206.22 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 263.51/206.22 |
% 263.51/206.23 +-Applying beta-rule and splitting (3158), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (3159) all_0_25_25 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (3159) can reduce 646 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (646) ~ (all_0_25_25 = e2)
% 263.51/206.23 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (3162), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (950) all_0_25_25 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (950) can reduce 946 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (946) ~ (all_0_25_25 = e1)
% 263.51/206.23 | (1921) all_0_25_25 = e0
% 263.51/206.23 |
% 263.51/206.23 | From (1921) and (1273) follows:
% 263.51/206.23 | (678) op(e4, e0) = e2
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (5085), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (5138) ~ (op(e4, e0) = e2)
% 263.51/206.23 |
% 263.51/206.23 | Using (678) and (5138) yields:
% 263.51/206.23 | (821) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (678) op(e4, e0) = e2
% 263.51/206.23 | (718) e2 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (718) can reduce 329 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (740) ~ (all_0_30_30 = e2)
% 263.51/206.23 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (162), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (472) all_0_15_15 = e2
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (472,468) yields a new equation:
% 263.51/206.23 | (764) e3 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (764) can reduce 56 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (447) ~ (all_0_15_15 = e2)
% 263.51/206.23 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (468) can reduce 447 to:
% 263.51/206.23 | (56) ~ (e3 = e2)
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (750), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (751) all_0_31_31 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (751) can reduce 10 to:
% 263.51/206.23 | (664) ~ (all_0_16_16 = e2)
% 263.51/206.23 |
% 263.51/206.23 | Equations (751) can reduce 584 to:
% 263.51/206.23 | (444) ~ (e4 = e2)
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 444 yields:
% 263.51/206.23 | (19) ~ (e4 = e2)
% 263.51/206.23 |
% 263.51/206.23 | Equations (751) can reduce 423 to:
% 263.51/206.23 | (329) ~ (e2 = e1)
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (187), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (2611) all_0_36_36 = e4
% 263.51/206.23 |
% 263.51/206.23 | Equations (2611) can reduce 586 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (586) ~ (all_0_36_36 = e4)
% 263.51/206.23 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (2614), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (818) all_0_36_36 = e3
% 263.51/206.23 |
% 263.51/206.23 | From (818) and (5066) follows:
% 263.51/206.23 | (5161) op(e2, e3) = e0
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (5075), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (5162) ~ (op(e2, e3) = e0)
% 263.51/206.23 |
% 263.51/206.23 | Using (5161) and (5162) yields:
% 263.51/206.23 | (821) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (5161) op(e2, e3) = e0
% 263.51/206.23 | (883) all_0_26_26 = e0
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (1005,883) yields a new equation:
% 263.51/206.23 | (960) e1 = e0
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 960 yields:
% 263.51/206.23 | (961) e1 = e0
% 263.51/206.23 |
% 263.51/206.23 | Equations (961) can reduce 37 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (516) ~ (all_0_36_36 = e3)
% 263.51/206.23 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (704), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (1287) all_0_16_16 = e3
% 263.51/206.23 |
% 263.51/206.23 | Equations (1287) can reduce 458 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (458) ~ (all_0_16_16 = e3)
% 263.51/206.23 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (94), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (1287) all_0_16_16 = e3
% 263.51/206.23 |
% 263.51/206.23 | Equations (1287) can reduce 458 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (458) ~ (all_0_16_16 = e3)
% 263.51/206.23 | (2460) all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (762), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (763) all_0_31_31 = e3
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (751,763) yields a new equation:
% 263.51/206.23 | (764) e3 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (764) can reduce 56 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (510) ~ (all_0_31_31 = e3)
% 263.51/206.23 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (2791), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (697) all_0_16_16 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (697) can reduce 664 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (664) ~ (all_0_16_16 = e2)
% 263.51/206.23 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (2933), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (1980) all_0_17_17 = e2
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (1980,865) yields a new equation:
% 263.51/206.23 | (539) e4 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (539) can reduce 19 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.23 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (767), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (772) all_0_32_32 = e3
% 263.51/206.23 |
% 263.51/206.23 | Equations (772) can reduce 727 to:
% 263.51/206.23 | (695) ~ (e4 = e3)
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 695 yields:
% 263.51/206.23 | (277) ~ (e4 = e3)
% 263.51/206.23 |
% 263.51/206.23 | Equations (772) can reduce 424 to:
% 263.51/206.23 | (318) ~ (e3 = e1)
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (2937), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (1274) all_0_18_18 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (1274) can reduce 560 to:
% 263.51/206.23 | (658) ~ (e3 = e2)
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 658 yields:
% 263.51/206.23 | (56) ~ (e3 = e2)
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (2460), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (453) all_0_21_21 = e3
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (449,453) yields a new equation:
% 263.51/206.23 | (690) e4 = e3
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 690 yields:
% 263.51/206.23 | (691) e4 = e3
% 263.51/206.23 |
% 263.51/206.23 | Equations (691) can reduce 277 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (494) ~ (all_0_21_21 = e3)
% 263.51/206.23 | (2466) all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (29), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (476) all_0_15_15 = e1
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (468,476) yields a new equation:
% 263.51/206.23 | (933) e3 = e1
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 933 yields:
% 263.51/206.23 | (706) e3 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (706) can reduce 318 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (482) ~ (all_0_15_15 = e1)
% 263.51/206.23 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (468) can reduce 482 to:
% 263.51/206.23 | (318) ~ (e3 = e1)
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (2466), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (2443) all_0_26_26 = e3
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (1005,2443) yields a new equation:
% 263.51/206.23 | (706) e3 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (706) can reduce 318 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (504) ~ (all_0_26_26 = e3)
% 263.51/206.23 | (2644) all_0_31_31 = e3 | all_0_36_36 = e3
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (2644), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (763) all_0_31_31 = e3
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (751,763) yields a new equation:
% 263.51/206.23 | (764) e3 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (764) can reduce 56 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (510) ~ (all_0_31_31 = e3)
% 263.51/206.23 | (818) all_0_36_36 = e3
% 263.51/206.23 |
% 263.51/206.23 | Equations (818) can reduce 516 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (666) ~ (all_0_18_18 = e2)
% 263.51/206.23 | (663) all_0_19_19 = e2
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (716,663) yields a new equation:
% 263.51/206.23 | (718) e2 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (718) can reduce 329 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (1089) ~ (all_0_32_32 = e3)
% 263.51/206.23 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (1090), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (410) all_0_33_33 = e3
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (418,410) yields a new equation:
% 263.51/206.23 | (706) e3 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (706) can reduce 318 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (403) ~ (all_0_33_33 = e3)
% 263.51/206.23 | (1027) all_0_34_34 = e3
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (723,1027) yields a new equation:
% 263.51/206.23 | (690) e4 = e3
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 690 yields:
% 263.51/206.23 | (691) e4 = e3
% 263.51/206.23 |
% 263.51/206.23 | Equations (691) can reduce 277 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (1099) ~ (all_0_31_31 = e2)
% 263.51/206.23 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (1100), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (1101) all_0_32_32 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (1101) can reduce 508 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (508) ~ (all_0_32_32 = e2)
% 263.51/206.23 | (1104) all_0_33_33 = e2 | all_0_34_34 = e2
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (1104), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (414) all_0_33_33 = e2
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (418,414) yields a new equation:
% 263.51/206.23 | (718) e2 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (718) can reduce 329 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (401) ~ (all_0_33_33 = e2)
% 263.51/206.23 | (1110) all_0_34_34 = e2
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (723,1110) yields a new equation:
% 263.51/206.23 | (1111) e4 = e2
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 1111 yields:
% 263.51/206.23 | (539) e4 = e2
% 263.51/206.23 |
% 263.51/206.23 | Equations (539) can reduce 19 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (1008) ~ (all_0_26_26 = e1)
% 263.51/206.23 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.51/206.23 |
% 263.51/206.23 +-Applying beta-rule and splitting (2035), into two cases.
% 263.51/206.23 |-Branch one:
% 263.51/206.23 | (543) all_0_27_27 = e1
% 263.51/206.23 |
% 263.51/206.23 | Combining equations (443,543) yields a new equation:
% 263.51/206.23 | (717) e2 = e1
% 263.51/206.23 |
% 263.51/206.23 | Simplifying 717 yields:
% 263.51/206.23 | (718) e2 = e1
% 263.51/206.23 |
% 263.51/206.23 | Equations (718) can reduce 329 to:
% 263.51/206.23 | (366) $false
% 263.51/206.23 |
% 263.51/206.23 |-The branch is then unsatisfiable
% 263.51/206.23 |-Branch two:
% 263.51/206.23 | (402) ~ (all_0_27_27 = e1)
% 263.51/206.23 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (2041), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1041) all_0_28_28 = e1
% 263.51/206.24 |
% 263.51/206.24 | Equations (1041) can reduce 421 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (421) ~ (all_0_28_28 = e1)
% 263.51/206.24 | (945) all_0_29_29 = e1
% 263.51/206.24 |
% 263.51/206.24 | Combining equations (1023,945) yields a new equation:
% 263.51/206.24 | (933) e3 = e1
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 933 yields:
% 263.51/206.24 | (706) e3 = e1
% 263.51/206.24 |
% 263.51/206.24 | Equations (706) can reduce 318 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (869) ~ (all_0_17_17 = e4)
% 263.51/206.24 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (166), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (464) all_0_15_15 = e4
% 263.51/206.24 |
% 263.51/206.24 | Combining equations (464,468) yields a new equation:
% 263.51/206.24 | (690) e4 = e3
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 690 yields:
% 263.51/206.24 | (691) e4 = e3
% 263.51/206.24 |
% 263.51/206.24 | Equations (691) can reduce 277 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (460) ~ (all_0_15_15 = e4)
% 263.51/206.24 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (240), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (865) all_0_17_17 = e4
% 263.51/206.24 |
% 263.51/206.24 | Equations (865) can reduce 869 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (869) ~ (all_0_17_17 = e4)
% 263.51/206.24 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (694), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (701) all_0_16_16 = e4
% 263.51/206.24 |
% 263.51/206.24 | Equations (701) can reduce 573 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (573) ~ (all_0_16_16 = e4)
% 263.51/206.24 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (1961), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1970) all_0_17_17 = e3
% 263.51/206.24 |
% 263.51/206.24 | Equations (1970) can reduce 558 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (558) ~ (all_0_17_17 = e3)
% 263.51/206.24 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (864), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (865) all_0_17_17 = e4
% 263.51/206.24 |
% 263.51/206.24 | Equations (865) can reduce 869 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (869) ~ (all_0_17_17 = e4)
% 263.51/206.24 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (1979), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1980) all_0_17_17 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (1980) can reduce 459 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.24 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (870), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (887) all_0_18_18 = e4
% 263.51/206.24 |
% 263.51/206.24 | Equations (887) can reduce 300 to:
% 263.51/206.24 | (889) ~ (all_0_28_28 = e4)
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 889 yields:
% 263.51/206.24 | (890) ~ (all_0_28_28 = e4)
% 263.51/206.24 |
% 263.51/206.24 | Equations (887) can reduce 142 to:
% 263.51/206.24 | (1142) ~ (all_0_38_38 = e4)
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 1142 yields:
% 263.51/206.24 | (1143) ~ (all_0_38_38 = e4)
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (309), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1274) all_0_18_18 = e2
% 263.51/206.24 |
% 263.51/206.24 | Combining equations (1274,887) yields a new equation:
% 263.51/206.24 | (539) e4 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (539) can reduce 19 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (666) ~ (all_0_18_18 = e2)
% 263.51/206.24 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (338), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (892) all_0_28_28 = e4
% 263.51/206.24 |
% 263.51/206.24 | Equations (892) can reduce 890 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (890) ~ (all_0_28_28 = e4)
% 263.51/206.24 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (895), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (896) all_0_28_28 = e3
% 263.51/206.24 |
% 263.51/206.24 | Equations (896) can reduce 1035 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (1035) ~ (all_0_28_28 = e3)
% 263.51/206.24 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (1756), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1126) all_0_23_23 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (1126) can reduce 810 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (810) ~ (all_0_23_23 = e2)
% 263.51/206.24 | (5316) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (5316), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1037) all_0_28_28 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (1037) can reduce 649 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (649) ~ (all_0_28_28 = e2)
% 263.51/206.24 | (5320) all_0_33_33 = e2 | all_0_38_38 = e2
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (5320), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (414) all_0_33_33 = e2
% 263.51/206.24 |
% 263.51/206.24 | Combining equations (414,418) yields a new equation:
% 263.51/206.24 | (717) e2 = e1
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 717 yields:
% 263.51/206.24 | (718) e2 = e1
% 263.51/206.24 |
% 263.51/206.24 | Equations (718) can reduce 329 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (401) ~ (all_0_33_33 = e2)
% 263.51/206.24 | (809) all_0_38_38 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (809) can reduce 198 to:
% 263.51/206.24 | (649) ~ (all_0_28_28 = e2)
% 263.51/206.24 |
% 263.51/206.24 | Equations (809) can reduce 1143 to:
% 263.51/206.24 | (444) ~ (e4 = e2)
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 444 yields:
% 263.51/206.24 | (19) ~ (e4 = e2)
% 263.51/206.24 |
% 263.51/206.24 | Equations (809) can reduce 428 to:
% 263.51/206.24 | (329) ~ (e2 = e1)
% 263.51/206.24 |
% 263.51/206.24 | From (809) and (731) follows:
% 263.51/206.24 | (812) op(e2, e4) = e1
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (2791), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (697) all_0_16_16 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (697) can reduce 139 to:
% 263.51/206.24 | (5333) ~ (all_0_26_26 = e2)
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 5333 yields:
% 263.51/206.24 | (647) ~ (all_0_26_26 = e2)
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (1036), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1037) all_0_28_28 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (1037) can reduce 649 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (649) ~ (all_0_28_28 = e2)
% 263.51/206.24 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (1040), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1041) all_0_28_28 = e1
% 263.51/206.24 |
% 263.51/206.24 | Equations (1041) can reduce 421 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (421) ~ (all_0_28_28 = e1)
% 263.51/206.24 | (1044) all_0_28_28 = e0
% 263.51/206.24 |
% 263.51/206.24 | Equations (1044) can reduce 46 to:
% 263.51/206.24 | (1058) ~ (all_0_26_26 = e0)
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (733), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (947) ~ (op(e2, e4) = e1)
% 263.51/206.24 |
% 263.51/206.24 | Using (812) and (947) yields:
% 263.51/206.24 | (821) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (812) op(e2, e4) = e1
% 263.51/206.24 | (950) all_0_25_25 = e1
% 263.51/206.24 |
% 263.51/206.24 | Equations (950) can reduce 128 to:
% 263.51/206.24 | (5348) ~ (all_0_26_26 = e1)
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 5348 yields:
% 263.51/206.24 | (1008) ~ (all_0_26_26 = e1)
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (182), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1237) all_0_26_26 = e4
% 263.51/206.24 |
% 263.51/206.24 | Equations (1237) can reduce 582 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (582) ~ (all_0_26_26 = e4)
% 263.51/206.24 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (5353), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (2443) all_0_26_26 = e3
% 263.51/206.24 |
% 263.51/206.24 | Equations (2443) can reduce 504 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (504) ~ (all_0_26_26 = e3)
% 263.51/206.24 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (5357), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (2380) all_0_26_26 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (2380) can reduce 647 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (647) ~ (all_0_26_26 = e2)
% 263.51/206.24 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (5361), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1005) all_0_26_26 = e1
% 263.51/206.24 |
% 263.51/206.24 | Equations (1005) can reduce 1008 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (1008) ~ (all_0_26_26 = e1)
% 263.51/206.24 | (883) all_0_26_26 = e0
% 263.51/206.24 |
% 263.51/206.24 | Equations (883) can reduce 1058 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (664) ~ (all_0_16_16 = e2)
% 263.51/206.24 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (2933), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1980) all_0_17_17 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (1980) can reduce 459 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.24 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.24 |
% 263.51/206.24 +-Applying beta-rule and splitting (2937), into two cases.
% 263.51/206.24 |-Branch one:
% 263.51/206.24 | (1274) all_0_18_18 = e2
% 263.51/206.24 |
% 263.51/206.24 | Combining equations (1274,887) yields a new equation:
% 263.51/206.24 | (539) e4 = e2
% 263.51/206.24 |
% 263.51/206.24 | Equations (539) can reduce 19 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.24 |-Branch two:
% 263.51/206.24 | (666) ~ (all_0_18_18 = e2)
% 263.51/206.24 | (663) all_0_19_19 = e2
% 263.51/206.24 |
% 263.51/206.24 | Combining equations (663,716) yields a new equation:
% 263.51/206.24 | (717) e2 = e1
% 263.51/206.24 |
% 263.51/206.24 | Simplifying 717 yields:
% 263.51/206.24 | (718) e2 = e1
% 263.51/206.24 |
% 263.51/206.24 | Equations (718) can reduce 329 to:
% 263.51/206.24 | (366) $false
% 263.51/206.24 |
% 263.51/206.24 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (1046) ~ (all_0_18_18 = e4)
% 263.51/206.25 | (711) all_0_19_19 = e4
% 263.51/206.25 |
% 263.51/206.25 | Combining equations (711,716) yields a new equation:
% 263.51/206.25 | (955) e4 = e1
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 955 yields:
% 263.51/206.25 | (480) e4 = e1
% 263.51/206.25 |
% 263.51/206.25 | Equations (480) can reduce 65 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (1395) ~ (all_0_34_34 = e4)
% 263.51/206.25 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (1400), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (1250) all_0_29_29 = e4
% 263.51/206.25 |
% 263.51/206.25 | Combining equations (1250,1023) yields a new equation:
% 263.51/206.25 | (690) e4 = e3
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 690 yields:
% 263.51/206.25 | (691) e4 = e3
% 263.51/206.25 |
% 263.51/206.25 | Equations (691) can reduce 277 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (724) ~ (all_0_29_29 = e4)
% 263.51/206.25 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (1735), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (723) all_0_34_34 = e4
% 263.51/206.25 |
% 263.51/206.25 | Equations (723) can reduce 1395 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (1395) ~ (all_0_34_34 = e4)
% 263.51/206.25 | (365) all_0_39_39 = e4
% 263.51/206.25 |
% 263.51/206.25 | Combining equations (365,380) yields a new equation:
% 263.51/206.25 | (842) e4 = e0
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 842 yields:
% 263.51/206.25 | (490) e4 = e0
% 263.51/206.25 |
% 263.51/206.25 | Equations (490) can reduce 287 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (668) ~ (all_0_24_24 = e2)
% 263.51/206.25 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (2760), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (940) all_0_24_24 = e1
% 263.51/206.25 |
% 263.51/206.25 | Equations (940) can reduce 943 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (943) ~ (all_0_24_24 = e1)
% 263.51/206.25 | (1069) all_0_24_24 = e0
% 263.51/206.25 |
% 263.51/206.25 | Equations (1069) can reduce 382 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (898) ~ (all_0_29_29 = e3)
% 263.51/206.25 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (5409), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (4103) all_0_29_29 = e2
% 263.51/206.25 |
% 263.51/206.25 | Equations (4103) can reduce 651 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (651) ~ (all_0_29_29 = e2)
% 263.51/206.25 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (5413), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (945) all_0_29_29 = e1
% 263.51/206.25 |
% 263.51/206.25 | Equations (945) can reduce 952 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (952) ~ (all_0_29_29 = e1)
% 263.51/206.25 | (2537) all_0_29_29 = e0
% 263.51/206.25 |
% 263.51/206.25 | Equations (2537) can reduce 383 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (720) ~ (all_0_19_19 = e1)
% 263.51/206.25 | (2703) all_0_19_19 = e0
% 263.51/206.25 |
% 263.51/206.25 | Equations (2703) can reduce 381 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (500) ~ (all_0_27_27 = e2)
% 263.51/206.25 | (542) all_0_27_27 = e1 | all_0_27_27 = e0
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (542), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (543) all_0_27_27 = e1
% 263.51/206.25 |
% 263.51/206.25 | Equations (543) can reduce 402 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (402) ~ (all_0_27_27 = e1)
% 263.51/206.25 | (546) all_0_27_27 = e0
% 263.51/206.25 |
% 263.51/206.25 | Equations (546) can reduce 434 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (546) all_0_27_27 = e0
% 263.51/206.25 | (5430) (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 263.51/206.25 |
% 263.51/206.25 | From (546)(546) and (99) follows:
% 263.51/206.25 | (550) op(e0, e0) = e2
% 263.51/206.25 |
% 263.51/206.25 | Instantiating formula (97) with e0, e0, e2, e0 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields:
% 263.51/206.25 | (551) e2 = e0
% 263.51/206.25 |
% 263.51/206.25 | Equations (551) can reduce 347 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (507) ~ (all_0_33_33 = e1)
% 263.51/206.25 | (1254) all_0_33_33 = e0
% 263.51/206.25 |
% 263.51/206.25 | Equations (1254) can reduce 399 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (406) all_0_33_33 = e4
% 263.51/206.25 | (5438) (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 208 to:
% 263.51/206.25 | (1046) ~ (all_0_18_18 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 189 to:
% 263.51/206.25 | (578) ~ (all_0_23_23 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 237 to:
% 263.51/206.25 | (890) ~ (all_0_28_28 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 283 to:
% 263.51/206.25 | (509) ~ (all_0_30_30 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 246 to:
% 263.51/206.25 | (584) ~ (all_0_31_31 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 201 to:
% 263.51/206.25 | (727) ~ (all_0_32_32 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 328 to:
% 263.51/206.25 | (2206) ~ (all_0_34_34 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 2206 yields:
% 263.51/206.25 | (1395) ~ (all_0_34_34 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 324 to:
% 263.51/206.25 | (1142) ~ (all_0_38_38 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 1142 yields:
% 263.51/206.25 | (1143) ~ (all_0_38_38 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 399 to:
% 263.51/206.25 | (287) ~ (e4 = e0)
% 263.51/206.25 |
% 263.51/206.25 | From (406)(406) and (148) follows:
% 263.51/206.25 | (5450) op(e4, e4) = e1
% 263.51/206.25 |
% 263.51/206.25 | Instantiating formula (97) with e4, e4, e1, all_0_15_15 and discharging atoms op(e4, e4) = all_0_15_15, op(e4, e4) = e1, yields:
% 263.51/206.25 | (476) all_0_15_15 = e1
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 351 to:
% 263.51/206.25 | (5452) ~ (all_0_16_16 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 5452 yields:
% 263.51/206.25 | (985) ~ (all_0_16_16 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 66 to:
% 263.51/206.25 | (2502) ~ (all_0_17_17 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 2502 yields:
% 263.51/206.25 | (1501) ~ (all_0_17_17 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 344 to:
% 263.51/206.25 | (2559) ~ (all_0_18_18 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 2559 yields:
% 263.51/206.25 | (419) ~ (all_0_18_18 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 190 to:
% 263.51/206.25 | (5458) ~ (all_0_19_19 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 5458 yields:
% 263.51/206.25 | (720) ~ (all_0_19_19 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 146 to:
% 263.51/206.25 | (5460) ~ (all_0_20_20 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 5460 yields:
% 263.51/206.25 | (1409) ~ (all_0_20_20 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 52 to:
% 263.51/206.25 | (4378) ~ (all_0_25_25 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 4378 yields:
% 263.51/206.25 | (946) ~ (all_0_25_25 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 84 to:
% 263.51/206.25 | (3387) ~ (all_0_30_30 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 3387 yields:
% 263.51/206.25 | (422) ~ (all_0_30_30 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 157 to:
% 263.51/206.25 | (1176) ~ (all_0_35_35 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Simplifying 1176 yields:
% 263.51/206.25 | (1177) ~ (all_0_35_35 = e1)
% 263.51/206.25 |
% 263.51/206.25 | From (476) and (218) follows:
% 263.51/206.25 | (5450) op(e4, e4) = e1
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (75), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (482) ~ (all_0_15_15 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 482 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (476) all_0_15_15 = e1
% 263.51/206.25 | (5472) (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (33), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (405) ~ (all_0_33_33 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 405 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (406) all_0_33_33 = e4
% 263.51/206.25 | (5476) (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (250), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (482) ~ (all_0_15_15 = e1)
% 263.51/206.25 |
% 263.51/206.25 | Equations (476) can reduce 482 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.25 |-Branch two:
% 263.51/206.25 | (476) all_0_15_15 = e1
% 263.51/206.25 | (5480) (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 263.51/206.25 |
% 263.51/206.25 +-Applying beta-rule and splitting (319), into two cases.
% 263.51/206.25 |-Branch one:
% 263.51/206.25 | (405) ~ (all_0_33_33 = e4)
% 263.51/206.25 |
% 263.51/206.25 | Equations (406) can reduce 405 to:
% 263.51/206.25 | (366) $false
% 263.51/206.25 |
% 263.51/206.25 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (406) all_0_33_33 = e4
% 263.51/206.26 | (5484) (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (292), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (448) ~ (all_0_21_21 = e4)
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (35), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (449) all_0_21_21 = e4
% 263.51/206.26 |
% 263.51/206.26 | Equations (449) can reduce 448 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (448) ~ (all_0_21_21 = e4)
% 263.51/206.26 | (452) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (452), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (453) all_0_21_21 = e3
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 307 to:
% 263.51/206.26 | (458) ~ (all_0_16_16 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 71 to:
% 263.51/206.26 | (564) ~ (all_0_20_20 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 339 to:
% 263.51/206.26 | (5493) ~ (all_0_22_22 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 5493 yields:
% 263.51/206.26 | (774) ~ (all_0_22_22 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 194 to:
% 263.51/206.26 | (3066) ~ (all_0_23_23 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 3066 yields:
% 263.51/206.26 | (982) ~ (all_0_23_23 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 180 to:
% 263.51/206.26 | (3506) ~ (all_0_24_24 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 3506 yields:
% 263.51/206.26 | (963) ~ (all_0_24_24 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 265 to:
% 263.51/206.26 | (5499) ~ (all_0_26_26 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 5499 yields:
% 263.51/206.26 | (504) ~ (all_0_26_26 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 255 to:
% 263.51/206.26 | (5501) ~ (all_0_31_31 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 5501 yields:
% 263.51/206.26 | (510) ~ (all_0_31_31 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 150 to:
% 263.51/206.26 | (4164) ~ (all_0_36_36 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 4164 yields:
% 263.51/206.26 | (516) ~ (all_0_36_36 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 448 to:
% 263.51/206.26 | (695) ~ (e4 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 695 yields:
% 263.51/206.26 | (277) ~ (e4 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 363 to:
% 263.51/206.26 | (318) ~ (e3 = e1)
% 263.51/206.26 |
% 263.51/206.26 | Equations (453) can reduce 398 to:
% 263.51/206.26 | (88) ~ (e3 = e0)
% 263.51/206.26 |
% 263.51/206.26 | From (453) and (314) follows:
% 263.51/206.26 | (5509) op(e3, e3) = e3
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (276), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (405) ~ (all_0_33_33 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Equations (406) can reduce 405 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (406) all_0_33_33 = e4
% 263.51/206.26 | (5513) (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (263), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (482) ~ (all_0_15_15 = e1)
% 263.51/206.26 |
% 263.51/206.26 | Equations (476) can reduce 482 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (476) all_0_15_15 = e1
% 263.51/206.26 | (5517) (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (34), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (405) ~ (all_0_33_33 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Equations (406) can reduce 405 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (406) all_0_33_33 = e4
% 263.51/206.26 | (5521) (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (251), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (482) ~ (all_0_15_15 = e1)
% 263.51/206.26 |
% 263.51/206.26 | Equations (476) can reduce 482 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (476) all_0_15_15 = e1
% 263.51/206.26 | (5525) (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (275), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (405) ~ (all_0_33_33 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Equations (406) can reduce 405 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (406) all_0_33_33 = e4
% 263.51/206.26 | (5529) (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (262), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (482) ~ (all_0_15_15 = e1)
% 263.51/206.26 |
% 263.51/206.26 | Equations (476) can reduce 482 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (476) all_0_15_15 = e1
% 263.51/206.26 | (5533) (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (76), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (482) ~ (all_0_15_15 = e1)
% 263.51/206.26 |
% 263.51/206.26 | Equations (476) can reduce 482 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (476) all_0_15_15 = e1
% 263.51/206.26 | (5537) (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (321), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (434) ~ (all_0_27_27 = e0)
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (6), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (435) all_0_27_27 = e4
% 263.51/206.26 |
% 263.51/206.26 | Equations (435) can reduce 404 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (404) ~ (all_0_27_27 = e4)
% 263.51/206.26 | (438) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (438), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (439) all_0_27_27 = e3
% 263.51/206.26 |
% 263.51/206.26 | Equations (439) can reduce 400 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (400) ~ (all_0_27_27 = e3)
% 263.51/206.26 | (442) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (442), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (443) all_0_27_27 = e2
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 3 to:
% 263.51/206.26 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 341 to:
% 263.51/206.26 | (493) ~ (all_0_22_22 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 289 to:
% 263.51/206.26 | (646) ~ (all_0_25_25 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 100 to:
% 263.51/206.26 | (647) ~ (all_0_26_26 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 106 to:
% 263.51/206.26 | (648) ~ (all_0_28_28 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 648 yields:
% 263.51/206.26 | (649) ~ (all_0_28_28 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 248 to:
% 263.51/206.26 | (650) ~ (all_0_29_29 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 650 yields:
% 263.51/206.26 | (651) ~ (all_0_29_29 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 149 to:
% 263.51/206.26 | (652) ~ (all_0_32_32 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 652 yields:
% 263.51/206.26 | (508) ~ (all_0_32_32 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 220 to:
% 263.51/206.26 | (654) ~ (all_0_37_37 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 654 yields:
% 263.51/206.26 | (515) ~ (all_0_37_37 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 404 to:
% 263.51/206.26 | (444) ~ (e4 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 444 yields:
% 263.51/206.26 | (19) ~ (e4 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 400 to:
% 263.51/206.26 | (658) ~ (e3 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 658 yields:
% 263.51/206.26 | (56) ~ (e3 = e2)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 402 to:
% 263.51/206.26 | (329) ~ (e2 = e1)
% 263.51/206.26 |
% 263.51/206.26 | Equations (443) can reduce 434 to:
% 263.51/206.26 | (347) ~ (e2 = e0)
% 263.51/206.26 |
% 263.51/206.26 | From (443) and (313) follows:
% 263.51/206.26 | (446) op(e2, e2) = e2
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (159), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (787) all_0_30_30 = e1
% 263.51/206.26 |
% 263.51/206.26 | Equations (787) can reduce 422 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (422) ~ (all_0_30_30 = e1)
% 263.51/206.26 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (279), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (873) all_0_16_16 = e0
% 263.51/206.26 |
% 263.51/206.26 | Equations (873) can reduce 169 to:
% 263.51/206.26 | (5572) ~ (all_0_17_17 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 5572 yields:
% 263.51/206.26 | (2422) ~ (all_0_17_17 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Equations (873) can reduce 9 to:
% 263.51/206.26 | (3378) ~ (all_0_18_18 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 3378 yields:
% 263.51/206.26 | (1156) ~ (all_0_18_18 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Equations (873) can reduce 236 to:
% 263.51/206.26 | (5576) ~ (all_0_19_19 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 5576 yields:
% 263.51/206.26 | (381) ~ (all_0_19_19 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Equations (873) can reduce 139 to:
% 263.51/206.26 | (2897) ~ (all_0_26_26 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 2897 yields:
% 263.51/206.26 | (1058) ~ (all_0_26_26 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Equations (873) can reduce 10 to:
% 263.51/206.26 | (1856) ~ (all_0_31_31 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 1856 yields:
% 263.51/206.26 | (1064) ~ (all_0_31_31 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Equations (873) can reduce 64 to:
% 263.51/206.26 | (3457) ~ (all_0_36_36 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 3457 yields:
% 263.51/206.26 | (386) ~ (all_0_36_36 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Equations (873) can reduce 985 to:
% 263.51/206.26 | (395) ~ (e1 = e0)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 395 yields:
% 263.51/206.26 | (37) ~ (e1 = e0)
% 263.51/206.26 |
% 263.51/206.26 | From (873) and (124) follows:
% 263.51/206.26 | (5586) op(e0, all_0_20_20) = e3
% 263.51/206.26 |
% 263.51/206.26 | From (873) and (40) follows:
% 263.51/206.26 | (5587) op(all_0_20_20, e0) = e4
% 263.51/206.26 |
% 263.51/206.26 | From (873) and (20) follows:
% 263.51/206.26 | (1314) op(e4, e3) = e0
% 263.51/206.26 |
% 263.51/206.26 | Instantiating formula (97) with e4, e0, e4, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 263.51/206.26 | (5589) all_0_19_19 = e4 | ~ (op(e4, e0) = e4)
% 263.51/206.26 |
% 263.51/206.26 | Instantiating formula (97) with e2, e0, e4, all_0_29_29 and discharging atoms op(e2, e0) = all_0_29_29, yields:
% 263.51/206.26 | (5590) all_0_29_29 = e4 | ~ (op(e2, e0) = e4)
% 263.51/206.26 |
% 263.51/206.26 | Instantiating formula (97) with e0, e4, e3, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 263.51/206.26 | (5591) all_0_35_35 = e3 | ~ (op(e0, e4) = e3)
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (182), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (1237) all_0_26_26 = e4
% 263.51/206.26 |
% 263.51/206.26 | Equations (1237) can reduce 128 to:
% 263.51/206.26 | (501) ~ (all_0_25_25 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Equations (1237) can reduce 46 to:
% 263.51/206.26 | (889) ~ (all_0_28_28 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 889 yields:
% 263.51/206.26 | (890) ~ (all_0_28_28 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Equations (1237) can reduce 38 to:
% 263.51/206.26 | (2797) ~ (all_0_29_29 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 2797 yields:
% 263.51/206.26 | (724) ~ (all_0_29_29 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Equations (1237) can reduce 170 to:
% 263.51/206.26 | (585) ~ (all_0_36_36 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Simplifying 585 yields:
% 263.51/206.26 | (586) ~ (all_0_36_36 = e4)
% 263.51/206.26 |
% 263.51/206.26 | Equations (1237) can reduce 504 to:
% 263.51/206.26 | (277) ~ (e4 = e3)
% 263.51/206.26 |
% 263.51/206.26 | Equations (1237) can reduce 1058 to:
% 263.51/206.26 | (287) ~ (e4 = e0)
% 263.51/206.26 |
% 263.51/206.26 | From (1237) and (234) follows:
% 263.51/206.26 | (5602) op(all_0_22_22, e4) = e2
% 263.51/206.26 |
% 263.51/206.26 | Instantiating formula (97) with e4, e4, e2, e1 and discharging atoms op(e4, e4) = e1, yields:
% 263.51/206.26 | (5603) e2 = e1 | ~ (op(e4, e4) = e2)
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (126), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (950) all_0_25_25 = e1
% 263.51/206.26 |
% 263.51/206.26 | Equations (950) can reduce 946 to:
% 263.51/206.26 | (366) $false
% 263.51/206.26 |
% 263.51/206.26 |-The branch is then unsatisfiable
% 263.51/206.26 |-Branch two:
% 263.51/206.26 | (946) ~ (all_0_25_25 = e1)
% 263.51/206.26 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.51/206.26 |
% 263.51/206.26 +-Applying beta-rule and splitting (241), into two cases.
% 263.51/206.26 |-Branch one:
% 263.51/206.26 | (1921) all_0_25_25 = e0
% 263.51/206.26 |
% 263.51/206.26 | Equations (1921) can reduce 193 to:
% 263.51/206.27 | (885) ~ (all_0_28_28 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 885 yields:
% 263.51/206.27 | (886) ~ (all_0_28_28 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (1921) can reduce 62 to:
% 263.51/206.27 | (3455) ~ (all_0_29_29 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 3455 yields:
% 263.51/206.27 | (383) ~ (all_0_29_29 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (1921) can reduce 58 to:
% 263.51/206.27 | (5613) ~ (all_0_30_30 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 5613 yields:
% 263.51/206.27 | (1878) ~ (all_0_30_30 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (1921) can reduce 501 to:
% 263.51/206.27 | (389) ~ (e4 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 389 yields:
% 263.51/206.27 | (287) ~ (e4 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (1921) can reduce 946 to:
% 263.51/206.27 | (395) ~ (e1 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 395 yields:
% 263.51/206.27 | (37) ~ (e1 = e0)
% 263.51/206.27 |
% 263.51/206.27 | From (1921) and (57) follows:
% 263.51/206.27 | (2903) op(all_0_17_17, e0) = e2
% 263.51/206.27 |
% 263.51/206.27 | From (1921) and (49) follows:
% 263.51/206.27 | (5620) op(e0, all_0_17_17) = e4
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (127), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (790) all_0_30_30 = e0
% 263.51/206.27 |
% 263.51/206.27 | Equations (790) can reduce 1878 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (1878) ~ (all_0_30_30 = e0)
% 263.51/206.27 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (185), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1153) all_0_18_18 = e0
% 263.51/206.27 |
% 263.51/206.27 | Equations (1153) can reduce 1156 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (1156) ~ (all_0_18_18 = e0)
% 263.51/206.27 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (1879), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1060) all_0_31_31 = e0
% 263.51/206.27 |
% 263.51/206.27 | Equations (1060) can reduce 1064 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (1064) ~ (all_0_31_31 = e0)
% 263.51/206.27 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (1157), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (851) all_0_23_23 = e0
% 263.51/206.27 |
% 263.51/206.27 | Equations (851) can reduce 110 to:
% 263.51/206.27 | (1156) ~ (all_0_18_18 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (851) can reduce 272 to:
% 263.51/206.27 | (839) ~ (all_0_20_20 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (851) can reduce 578 to:
% 263.51/206.27 | (389) ~ (e4 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 389 yields:
% 263.51/206.27 | (287) ~ (e4 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (851) can reduce 982 to:
% 263.51/206.27 | (391) ~ (e3 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 391 yields:
% 263.51/206.27 | (88) ~ (e3 = e0)
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (1883), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1626) all_0_32_32 = e0
% 263.51/206.27 |
% 263.51/206.27 | Equations (1626) can reduce 286 to:
% 263.51/206.27 | (2422) ~ (all_0_17_17 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (1626) can reduce 186 to:
% 263.51/206.27 | (1878) ~ (all_0_30_30 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Equations (1626) can reduce 508 to:
% 263.51/206.27 | (393) ~ (e2 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 393 yields:
% 263.51/206.27 | (347) ~ (e2 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Instantiating formula (97) with e3, e0, e2, all_0_24_24 and discharging atoms op(e3, e0) = all_0_24_24, yields:
% 263.51/206.27 | (5645) all_0_24_24 = e2 | ~ (op(e3, e0) = e2)
% 263.51/206.27 |
% 263.51/206.27 | Instantiating formula (97) with e0, e3, e4, all_0_36_36 and discharging atoms op(e0, e3) = all_0_36_36, yields:
% 263.51/206.27 | (5646) all_0_36_36 = e4 | ~ (op(e0, e3) = e4)
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (155), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (759) all_0_30_30 = e3
% 263.51/206.27 |
% 263.51/206.27 | From (759) and (290) follows:
% 263.51/206.27 | (5648) op(e3, all_0_18_18) = e4
% 263.51/206.27 |
% 263.51/206.27 | Instantiating formula (97) with e3, e2, e4, all_0_22_22 and discharging atoms op(e3, e2) = all_0_22_22, yields:
% 263.51/206.27 | (5649) all_0_22_22 = e4 | ~ (op(e3, e2) = e4)
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (114), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (472) all_0_15_15 = e2
% 263.51/206.27 |
% 263.51/206.27 | Combining equations (472,476) yields a new equation:
% 263.51/206.27 | (717) e2 = e1
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 717 yields:
% 263.51/206.27 | (718) e2 = e1
% 263.51/206.27 |
% 263.51/206.27 | Equations (718) can reduce 329 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (447) ~ (all_0_15_15 = e2)
% 263.51/206.27 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (340), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (697) all_0_16_16 = e2
% 263.51/206.27 |
% 263.51/206.27 | Combining equations (697,873) yields a new equation:
% 263.51/206.27 | (836) e2 = e0
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 836 yields:
% 263.51/206.27 | (551) e2 = e0
% 263.51/206.27 |
% 263.51/206.27 | Equations (551) can reduce 347 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (664) ~ (all_0_16_16 = e2)
% 263.51/206.27 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 263.51/206.27 |
% 263.51/206.27 | Equations (873) can reduce 664 to:
% 263.51/206.27 | (393) ~ (e2 = e0)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 393 yields:
% 263.51/206.27 | (347) ~ (e2 = e0)
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (309), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1274) all_0_18_18 = e2
% 263.51/206.27 |
% 263.51/206.27 | Equations (1274) can reduce 419 to:
% 263.51/206.27 | (329) ~ (e2 = e1)
% 263.51/206.27 |
% 263.51/206.27 | From (1274) and (5648) follows:
% 263.51/206.27 | (5666) op(e3, e2) = e4
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (5649), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (5667) ~ (op(e3, e2) = e4)
% 263.51/206.27 |
% 263.51/206.27 | Using (5666) and (5667) yields:
% 263.51/206.27 | (821) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (5666) op(e3, e2) = e4
% 263.51/206.27 | (831) all_0_22_22 = e4
% 263.51/206.27 |
% 263.51/206.27 | From (831) and (5602) follows:
% 263.51/206.27 | (1335) op(e4, e4) = e2
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (5603), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1336) ~ (op(e4, e4) = e2)
% 263.51/206.27 |
% 263.51/206.27 | Using (1335) and (1336) yields:
% 263.51/206.27 | (821) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (1335) op(e4, e4) = e2
% 263.51/206.27 | (718) e2 = e1
% 263.51/206.27 |
% 263.51/206.27 | Equations (718) can reduce 329 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (666) ~ (all_0_18_18 = e2)
% 263.51/206.27 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (26), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (887) all_0_18_18 = e4
% 263.51/206.27 |
% 263.51/206.27 | Equations (887) can reduce 1046 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (1046) ~ (all_0_18_18 = e4)
% 263.51/206.27 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (2791), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (697) all_0_16_16 = e2
% 263.51/206.27 |
% 263.51/206.27 | Combining equations (697,873) yields a new equation:
% 263.51/206.27 | (836) e2 = e0
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 836 yields:
% 263.51/206.27 | (551) e2 = e0
% 263.51/206.27 |
% 263.51/206.27 | Equations (551) can reduce 347 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (664) ~ (all_0_16_16 = e2)
% 263.51/206.27 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (1047), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1134) all_0_18_18 = e3
% 263.51/206.27 |
% 263.51/206.27 | Equations (1134) can reduce 337 to:
% 263.51/206.27 | (561) ~ (all_0_19_19 = e3)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 561 yields:
% 263.51/206.27 | (562) ~ (all_0_19_19 = e3)
% 263.51/206.27 |
% 263.51/206.27 | Equations (1134) can reduce 666 to:
% 263.51/206.27 | (56) ~ (e3 = e2)
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (2933), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1980) all_0_17_17 = e2
% 263.51/206.27 |
% 263.51/206.27 | Equations (1980) can reduce 459 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.27 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (2937), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1274) all_0_18_18 = e2
% 263.51/206.27 |
% 263.51/206.27 | Combining equations (1274,1134) yields a new equation:
% 263.51/206.27 | (764) e3 = e2
% 263.51/206.27 |
% 263.51/206.27 | Equations (764) can reduce 56 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (666) ~ (all_0_18_18 = e2)
% 263.51/206.27 | (663) all_0_19_19 = e2
% 263.51/206.27 |
% 263.51/206.27 | Equations (663) can reduce 87 to:
% 263.51/206.27 | (667) ~ (all_0_24_24 = e2)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 667 yields:
% 263.51/206.27 | (668) ~ (all_0_24_24 = e2)
% 263.51/206.27 |
% 263.51/206.27 | Equations (663) can reduce 562 to:
% 263.51/206.27 | (658) ~ (e3 = e2)
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 658 yields:
% 263.51/206.27 | (56) ~ (e3 = e2)
% 263.51/206.27 |
% 263.51/206.27 | Equations (663) can reduce 381 to:
% 263.51/206.27 | (347) ~ (e2 = e0)
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (215), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (747) all_0_30_30 = e2
% 263.51/206.27 |
% 263.51/206.27 | Combining equations (759,747) yields a new equation:
% 263.51/206.27 | (3874) e3 = e2
% 263.51/206.27 |
% 263.51/206.27 | Simplifying 3874 yields:
% 263.51/206.27 | (764) e3 = e2
% 263.51/206.27 |
% 263.51/206.27 | Equations (764) can reduce 56 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (740) ~ (all_0_30_30 = e2)
% 263.51/206.27 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 263.51/206.27 |
% 263.51/206.27 | Equations (759) can reduce 740 to:
% 263.51/206.27 | (56) ~ (e3 = e2)
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (51), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (736) all_0_20_20 = e2
% 263.51/206.27 |
% 263.51/206.27 | From (736) and (5587) follows:
% 263.51/206.27 | (5715) op(e2, e0) = e4
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (357), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (1250) all_0_29_29 = e4
% 263.51/206.27 |
% 263.51/206.27 | Equations (1250) can reduce 724 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (724) ~ (all_0_29_29 = e4)
% 263.51/206.27 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.27 |
% 263.51/206.27 +-Applying beta-rule and splitting (5590), into two cases.
% 263.51/206.27 |-Branch one:
% 263.51/206.27 | (5720) ~ (op(e2, e0) = e4)
% 263.51/206.27 |
% 263.51/206.27 | Using (5715) and (5720) yields:
% 263.51/206.27 | (821) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.27 |-Branch two:
% 263.51/206.27 | (5715) op(e2, e0) = e4
% 263.51/206.27 | (1250) all_0_29_29 = e4
% 263.51/206.27 |
% 263.51/206.27 | Equations (1250) can reduce 724 to:
% 263.51/206.27 | (366) $false
% 263.51/206.27 |
% 263.51/206.27 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (1114) ~ (all_0_20_20 = e2)
% 263.51/206.28 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (1115), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (522) all_0_21_21 = e2
% 263.51/206.28 |
% 263.51/206.28 | Combining equations (453,522) yields a new equation:
% 263.51/206.28 | (3874) e3 = e2
% 263.51/206.28 |
% 263.51/206.28 | Simplifying 3874 yields:
% 263.51/206.28 | (764) e3 = e2
% 263.51/206.28 |
% 263.51/206.28 | Equations (764) can reduce 56 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (361) ~ (all_0_21_21 = e2)
% 263.51/206.28 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (1121), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (917) all_0_22_22 = e2
% 263.51/206.28 |
% 263.51/206.28 | Equations (917) can reduce 493 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (493) ~ (all_0_22_22 = e2)
% 263.51/206.28 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (1125), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (1126) all_0_23_23 = e2
% 263.51/206.28 |
% 263.51/206.28 | Combining equations (851,1126) yields a new equation:
% 263.51/206.28 | (551) e2 = e0
% 263.51/206.28 |
% 263.51/206.28 | Equations (551) can reduce 347 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (810) ~ (all_0_23_23 = e2)
% 263.51/206.28 | (1393) all_0_24_24 = e2
% 263.51/206.28 |
% 263.51/206.28 | Equations (1393) can reduce 668 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (560) ~ (all_0_18_18 = e3)
% 263.51/206.28 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (1270), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (1274) all_0_18_18 = e2
% 263.51/206.28 |
% 263.51/206.28 | Equations (1274) can reduce 666 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (666) ~ (all_0_18_18 = e2)
% 263.51/206.28 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (1277), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (1278) all_0_18_18 = e1
% 263.51/206.28 |
% 263.51/206.28 | Equations (1278) can reduce 419 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (419) ~ (all_0_18_18 = e1)
% 263.51/206.28 | (1153) all_0_18_18 = e0
% 263.51/206.28 |
% 263.51/206.28 | Equations (1153) can reduce 1156 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (568) ~ (all_0_30_30 = e3)
% 263.51/206.28 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (762), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (763) all_0_31_31 = e3
% 263.51/206.28 |
% 263.51/206.28 | Equations (763) can reduce 510 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (510) ~ (all_0_31_31 = e3)
% 263.51/206.28 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (767), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (772) all_0_32_32 = e3
% 263.51/206.28 |
% 263.51/206.28 | Combining equations (772,1626) yields a new equation:
% 263.51/206.28 | (979) e3 = e0
% 263.51/206.28 |
% 263.51/206.28 | Simplifying 979 yields:
% 263.51/206.28 | (980) e3 = e0
% 263.51/206.28 |
% 263.51/206.28 | Equations (980) can reduce 88 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (1089) ~ (all_0_32_32 = e3)
% 263.51/206.28 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (239), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (768) all_0_30_30 = e4
% 263.51/206.28 |
% 263.51/206.28 | Equations (768) can reduce 509 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (509) ~ (all_0_30_30 = e4)
% 263.51/206.28 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (1090), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (410) all_0_33_33 = e3
% 263.51/206.28 |
% 263.51/206.28 | Combining equations (410,406) yields a new equation:
% 263.51/206.28 | (691) e4 = e3
% 263.51/206.28 |
% 263.51/206.28 | Equations (691) can reduce 277 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (403) ~ (all_0_33_33 = e3)
% 263.51/206.28 | (1027) all_0_34_34 = e3
% 263.51/206.28 |
% 263.51/206.28 | Equations (1027) can reduce 41 to:
% 263.51/206.28 | (898) ~ (all_0_29_29 = e3)
% 263.51/206.28 |
% 263.51/206.28 | Equations (1027) can reduce 15 to:
% 263.51/206.28 | (568) ~ (all_0_30_30 = e3)
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (357), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (1250) all_0_29_29 = e4
% 263.51/206.28 |
% 263.51/206.28 | Equations (1250) can reduce 724 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (724) ~ (all_0_29_29 = e4)
% 263.51/206.28 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (2812), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (1023) all_0_29_29 = e3
% 263.51/206.28 |
% 263.51/206.28 | Equations (1023) can reduce 898 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (898) ~ (all_0_29_29 = e3)
% 263.51/206.28 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (5409), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (4103) all_0_29_29 = e2
% 263.51/206.28 |
% 263.51/206.28 | Equations (4103) can reduce 651 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (651) ~ (all_0_29_29 = e2)
% 263.51/206.28 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (5570), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (1010) all_0_31_31 = e1
% 263.51/206.28 |
% 263.51/206.28 | Equations (1010) can reduce 217 to:
% 263.51/206.28 | (422) ~ (all_0_30_30 = e1)
% 263.51/206.28 |
% 263.51/206.28 | Equations (1010) can reduce 7 to:
% 263.51/206.28 | (2547) ~ (all_0_36_36 = e1)
% 263.51/206.28 |
% 263.51/206.28 | Simplifying 2547 yields:
% 263.51/206.28 | (1593) ~ (all_0_36_36 = e1)
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (771), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (759) all_0_30_30 = e3
% 263.51/206.28 |
% 263.51/206.28 | Equations (759) can reduce 568 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (568) ~ (all_0_30_30 = e3)
% 263.51/206.28 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (782), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (747) all_0_30_30 = e2
% 263.51/206.28 |
% 263.51/206.28 | Equations (747) can reduce 116 to:
% 263.51/206.28 | (1114) ~ (all_0_20_20 = e2)
% 263.51/206.28 |
% 263.51/206.28 | Equations (747) can reduce 1878 to:
% 263.51/206.28 | (347) ~ (e2 = e0)
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (231), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (1453) all_0_20_20 = e4
% 263.51/206.28 |
% 263.51/206.28 | Equations (1453) can reduce 1114 to:
% 263.51/206.28 | (19) ~ (e4 = e2)
% 263.51/206.28 |
% 263.51/206.28 | From (1453) and (5587) follows:
% 263.51/206.28 | (2088) op(e4, e0) = e4
% 263.51/206.28 |
% 263.51/206.28 | From (1453) and (5586) follows:
% 263.51/206.28 | (5803) op(e0, e4) = e3
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (5413), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (945) all_0_29_29 = e1
% 263.51/206.28 |
% 263.51/206.28 | Equations (945) can reduce 651 to:
% 263.51/206.28 | (1002) ~ (e2 = e1)
% 263.51/206.28 |
% 263.51/206.28 | Simplifying 1002 yields:
% 263.51/206.28 | (329) ~ (e2 = e1)
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (242), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (711) all_0_19_19 = e4
% 263.51/206.28 |
% 263.51/206.28 | Equations (711) can reduce 333 to:
% 263.51/206.28 | (869) ~ (all_0_17_17 = e4)
% 263.51/206.28 |
% 263.51/206.28 | Equations (711) can reduce 87 to:
% 263.51/206.28 | (579) ~ (all_0_24_24 = e4)
% 263.51/206.28 |
% 263.51/206.28 | Simplifying 579 yields:
% 263.51/206.28 | (580) ~ (all_0_24_24 = e4)
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (5591), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (5811) ~ (op(e0, e4) = e3)
% 263.51/206.28 |
% 263.51/206.28 | Using (5803) and (5811) yields:
% 263.51/206.28 | (821) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (5803) op(e0, e4) = e3
% 263.51/206.28 | (814) all_0_35_35 = e3
% 263.51/206.28 |
% 263.51/206.28 | Equations (814) can reduce 273 to:
% 263.51/206.28 | (4164) ~ (all_0_36_36 = e3)
% 263.51/206.28 |
% 263.51/206.28 | Simplifying 4164 yields:
% 263.51/206.28 | (516) ~ (all_0_36_36 = e3)
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (240), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (865) all_0_17_17 = e4
% 263.51/206.28 |
% 263.51/206.28 | Equations (865) can reduce 869 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (869) ~ (all_0_17_17 = e4)
% 263.51/206.28 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (232), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (1970) all_0_17_17 = e3
% 263.51/206.28 |
% 263.51/206.28 | From (1970) and (2903) follows:
% 263.51/206.28 | (5822) op(e3, e0) = e2
% 263.51/206.28 |
% 263.51/206.28 | From (1970) and (5620) follows:
% 263.51/206.28 | (5823) op(e0, e3) = e4
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (187), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (2611) all_0_36_36 = e4
% 263.51/206.28 |
% 263.51/206.28 | Equations (2611) can reduce 586 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (586) ~ (all_0_36_36 = e4)
% 263.51/206.28 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (2614), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (818) all_0_36_36 = e3
% 263.51/206.28 |
% 263.51/206.28 | Equations (818) can reduce 516 to:
% 263.51/206.28 | (366) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (516) ~ (all_0_36_36 = e3)
% 263.51/206.28 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (3567), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (801) all_0_36_36 = e2
% 263.51/206.28 |
% 263.51/206.28 +-Applying beta-rule and splitting (5645), into two cases.
% 263.51/206.28 |-Branch one:
% 263.51/206.28 | (5833) ~ (op(e3, e0) = e2)
% 263.51/206.28 |
% 263.51/206.28 | Using (5822) and (5833) yields:
% 263.51/206.28 | (821) $false
% 263.51/206.28 |
% 263.51/206.28 |-The branch is then unsatisfiable
% 263.51/206.28 |-Branch two:
% 263.51/206.28 | (5822) op(e3, e0) = e2
% 263.51/206.28 | (1393) all_0_24_24 = e2
% 263.51/206.28 |
% 263.51/206.28 | Equations (1393) can reduce 580 to:
% 263.51/206.28 | (444) ~ (e4 = e2)
% 263.51/206.29 |
% 263.51/206.29 | Simplifying 444 yields:
% 263.51/206.29 | (19) ~ (e4 = e2)
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (5646), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (5839) ~ (op(e0, e3) = e4)
% 263.51/206.29 |
% 263.51/206.29 | Using (5823) and (5839) yields:
% 263.51/206.29 | (821) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (5823) op(e0, e3) = e4
% 263.51/206.29 | (2611) all_0_36_36 = e4
% 263.51/206.29 |
% 263.51/206.29 | Combining equations (801,2611) yields a new equation:
% 263.51/206.29 | (539) e4 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (539) can reduce 19 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (756) ~ (all_0_36_36 = e2)
% 263.51/206.29 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (3571), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1015) all_0_36_36 = e1
% 263.51/206.29 |
% 263.51/206.29 | Equations (1015) can reduce 1593 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (1593) ~ (all_0_36_36 = e1)
% 263.51/206.29 | (1065) all_0_36_36 = e0
% 263.51/206.29 |
% 263.51/206.29 | Equations (1065) can reduce 386 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (558) ~ (all_0_17_17 = e3)
% 263.51/206.29 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (51), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (736) all_0_20_20 = e2
% 263.51/206.29 |
% 263.51/206.29 | Combining equations (1453,736) yields a new equation:
% 263.51/206.29 | (1111) e4 = e2
% 263.51/206.29 |
% 263.51/206.29 | Simplifying 1111 yields:
% 263.51/206.29 | (539) e4 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (539) can reduce 19 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (1114) ~ (all_0_20_20 = e2)
% 263.51/206.29 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (1453) can reduce 1114 to:
% 263.51/206.29 | (19) ~ (e4 = e2)
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (1961), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1970) all_0_17_17 = e3
% 263.51/206.29 |
% 263.51/206.29 | Equations (1970) can reduce 558 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (558) ~ (all_0_17_17 = e3)
% 263.51/206.29 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (114), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (472) all_0_15_15 = e2
% 263.51/206.29 |
% 263.51/206.29 | Combining equations (476,472) yields a new equation:
% 263.51/206.29 | (718) e2 = e1
% 263.51/206.29 |
% 263.51/206.29 | Equations (718) can reduce 329 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (447) ~ (all_0_15_15 = e2)
% 263.51/206.29 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (2791), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (697) all_0_16_16 = e2
% 263.51/206.29 |
% 263.51/206.29 | Combining equations (697,873) yields a new equation:
% 263.51/206.29 | (836) e2 = e0
% 263.51/206.29 |
% 263.51/206.29 | Simplifying 836 yields:
% 263.51/206.29 | (551) e2 = e0
% 263.51/206.29 |
% 263.51/206.29 | Equations (551) can reduce 347 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (664) ~ (all_0_16_16 = e2)
% 263.51/206.29 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (2933), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1980) all_0_17_17 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (1980) can reduce 459 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.29 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (2937), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1274) all_0_18_18 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (1274) can reduce 74 to:
% 263.51/206.29 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (17), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1498) all_0_17_17 = e1
% 263.51/206.29 |
% 263.51/206.29 | Equations (1498) can reduce 1501 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (1501) ~ (all_0_17_17 = e1)
% 263.51/206.29 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (1979), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1980) all_0_17_17 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (1980) can reduce 459 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.29 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (1983), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1498) all_0_17_17 = e1
% 263.51/206.29 |
% 263.51/206.29 | Equations (1498) can reduce 1501 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (1501) ~ (all_0_17_17 = e1)
% 263.51/206.29 | (823) all_0_17_17 = e0
% 263.51/206.29 |
% 263.51/206.29 | Equations (823) can reduce 2422 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (666) ~ (all_0_18_18 = e2)
% 263.51/206.29 | (663) all_0_19_19 = e2
% 263.51/206.29 |
% 263.51/206.29 | Combining equations (663,711) yields a new equation:
% 263.51/206.29 | (539) e4 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (539) can reduce 19 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (714) ~ (all_0_19_19 = e4)
% 263.51/206.29 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (225), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (711) all_0_19_19 = e4
% 263.51/206.29 |
% 263.51/206.29 | Equations (711) can reduce 714 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (714) ~ (all_0_19_19 = e4)
% 263.51/206.29 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (5589), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (2089) ~ (op(e4, e0) = e4)
% 263.51/206.29 |
% 263.51/206.29 | Using (2088) and (2089) yields:
% 263.51/206.29 | (821) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (2088) op(e4, e0) = e4
% 263.51/206.29 | (711) all_0_19_19 = e4
% 263.51/206.29 |
% 263.51/206.29 | Equations (711) can reduce 714 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (952) ~ (all_0_29_29 = e1)
% 263.51/206.29 | (2537) all_0_29_29 = e0
% 263.51/206.29 |
% 263.51/206.29 | Equations (2537) can reduce 383 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (496) ~ (all_0_20_20 = e4)
% 263.51/206.29 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (2301), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (903) all_0_20_20 = e3
% 263.51/206.29 |
% 263.51/206.29 | Equations (903) can reduce 564 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (564) ~ (all_0_20_20 = e3)
% 263.51/206.29 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (51), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (736) all_0_20_20 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (736) can reduce 1114 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (1114) ~ (all_0_20_20 = e2)
% 263.51/206.29 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (2305), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (736) all_0_20_20 = e2
% 263.51/206.29 |
% 263.51/206.29 | Equations (736) can reduce 1114 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (1114) ~ (all_0_20_20 = e2)
% 263.51/206.29 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (2309), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1175) all_0_20_20 = e1
% 263.51/206.29 |
% 263.51/206.29 | Equations (1175) can reduce 1409 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (1409) ~ (all_0_20_20 = e1)
% 263.51/206.29 | (835) all_0_20_20 = e0
% 263.51/206.29 |
% 263.51/206.29 | Equations (835) can reduce 839 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (740) ~ (all_0_30_30 = e2)
% 263.51/206.29 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (786), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (787) all_0_30_30 = e1
% 263.51/206.29 |
% 263.51/206.29 | Equations (787) can reduce 422 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (422) ~ (all_0_30_30 = e1)
% 263.51/206.29 | (790) all_0_30_30 = e0
% 263.51/206.29 |
% 263.51/206.29 | Equations (790) can reduce 1878 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (423) ~ (all_0_31_31 = e1)
% 263.51/206.29 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (228), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (921) all_0_16_16 = e1
% 263.51/206.29 |
% 263.51/206.29 | Combining equations (921,873) yields a new equation:
% 263.51/206.29 | (960) e1 = e0
% 263.51/206.29 |
% 263.51/206.29 | Simplifying 960 yields:
% 263.51/206.29 | (961) e1 = e0
% 263.51/206.29 |
% 263.51/206.29 | Equations (961) can reduce 37 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (985) ~ (all_0_16_16 = e1)
% 263.51/206.29 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 263.51/206.29 |
% 263.51/206.29 | Equations (873) can reduce 985 to:
% 263.51/206.29 | (395) ~ (e1 = e0)
% 263.51/206.29 |
% 263.51/206.29 | Simplifying 395 yields:
% 263.51/206.29 | (37) ~ (e1 = e0)
% 263.51/206.29 |
% 263.51/206.29 +-Applying beta-rule and splitting (5940), into two cases.
% 263.51/206.29 |-Branch one:
% 263.51/206.29 | (1587) all_0_32_32 = e1
% 263.51/206.29 |
% 263.51/206.29 | Combining equations (1626,1587) yields a new equation:
% 263.51/206.29 | (961) e1 = e0
% 263.51/206.29 |
% 263.51/206.29 | Equations (961) can reduce 37 to:
% 263.51/206.29 | (366) $false
% 263.51/206.29 |
% 263.51/206.29 |-The branch is then unsatisfiable
% 263.51/206.29 |-Branch two:
% 263.51/206.29 | (424) ~ (all_0_32_32 = e1)
% 263.51/206.30 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (5413), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (945) all_0_29_29 = e1
% 263.51/206.30 |
% 263.51/206.30 | Equations (945) can reduce 724 to:
% 263.51/206.30 | (477) ~ (e4 = e1)
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 477 yields:
% 263.51/206.30 | (65) ~ (e4 = e1)
% 263.51/206.30 |
% 263.51/206.30 | Equations (945) can reduce 898 to:
% 263.51/206.30 | (429) ~ (e3 = e1)
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 429 yields:
% 263.51/206.30 | (318) ~ (e3 = e1)
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (5953), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (418) all_0_33_33 = e1
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (418,406) yields a new equation:
% 263.51/206.30 | (480) e4 = e1
% 263.51/206.30 |
% 263.51/206.30 | Equations (480) can reduce 65 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (507) ~ (all_0_33_33 = e1)
% 263.51/206.30 | (954) all_0_34_34 = e1
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (1027,954) yields a new equation:
% 263.51/206.30 | (933) e3 = e1
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 933 yields:
% 263.51/206.30 | (706) e3 = e1
% 263.51/206.30 |
% 263.51/206.30 | Equations (706) can reduce 318 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (952) ~ (all_0_29_29 = e1)
% 263.51/206.30 | (2537) all_0_29_29 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (2537) can reduce 383 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (1946) ~ (all_0_32_32 = e0)
% 263.51/206.30 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (1947), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1254) all_0_33_33 = e0
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (1254,406) yields a new equation:
% 263.51/206.30 | (490) e4 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (490) can reduce 287 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (399) ~ (all_0_33_33 = e0)
% 263.51/206.30 | (1717) all_0_34_34 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (1717) can reduce 384 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (1068) ~ (all_0_23_23 = e0)
% 263.51/206.30 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (1883), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1626) all_0_32_32 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (1626) can reduce 727 to:
% 263.51/206.30 | (389) ~ (e4 = e0)
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 389 yields:
% 263.51/206.30 | (287) ~ (e4 = e0)
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (1228), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1044) all_0_28_28 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (1044) can reduce 886 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (886) ~ (all_0_28_28 = e0)
% 263.51/206.30 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (1253), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1254) all_0_33_33 = e0
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (1254,406) yields a new equation:
% 263.51/206.30 | (490) e4 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (490) can reduce 287 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (399) ~ (all_0_33_33 = e0)
% 263.51/206.30 | (1214) all_0_38_38 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (1214) can reduce 388 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (1946) ~ (all_0_32_32 = e0)
% 263.51/206.30 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (1947), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1254) all_0_33_33 = e0
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (1254,406) yields a new equation:
% 263.51/206.30 | (490) e4 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (490) can reduce 287 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (399) ~ (all_0_33_33 = e0)
% 263.51/206.30 | (1717) all_0_34_34 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (1717) can reduce 384 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (1925) ~ (all_0_25_25 = e0)
% 263.51/206.30 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (1926), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (883) all_0_26_26 = e0
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (1237,883) yields a new equation:
% 263.51/206.30 | (842) e4 = e0
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 842 yields:
% 263.51/206.30 | (490) e4 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (490) can reduce 287 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (1058) ~ (all_0_26_26 = e0)
% 263.51/206.30 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (245), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1158) all_0_25_25 = e4
% 263.51/206.30 |
% 263.51/206.30 | Equations (1158) can reduce 501 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (501) ~ (all_0_25_25 = e4)
% 263.51/206.30 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (3136), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (2438) all_0_25_25 = e3
% 263.51/206.30 |
% 263.51/206.30 | Equations (2438) can reduce 62 to:
% 263.51/206.30 | (897) ~ (all_0_29_29 = e3)
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 897 yields:
% 263.51/206.30 | (898) ~ (all_0_29_29 = e3)
% 263.51/206.30 |
% 263.51/206.30 | From (2438) and (57) follows:
% 263.51/206.30 | (6016) op(all_0_17_17, e3) = e2
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (357), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1250) all_0_29_29 = e4
% 263.51/206.30 |
% 263.51/206.30 | Equations (1250) can reduce 724 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (724) ~ (all_0_29_29 = e4)
% 263.51/206.30 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (2812), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1023) all_0_29_29 = e3
% 263.51/206.30 |
% 263.51/206.30 | Equations (1023) can reduce 898 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (898) ~ (all_0_29_29 = e3)
% 263.51/206.30 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (5409), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (4103) all_0_29_29 = e2
% 263.51/206.30 |
% 263.51/206.30 | Equations (4103) can reduce 651 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (651) ~ (all_0_29_29 = e2)
% 263.51/206.30 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (5413), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (945) all_0_29_29 = e1
% 263.51/206.30 |
% 263.51/206.30 | Equations (945) can reduce 85 to:
% 263.51/206.30 | (943) ~ (all_0_24_24 = e1)
% 263.51/206.30 |
% 263.51/206.30 | Equations (945) can reduce 724 to:
% 263.51/206.30 | (477) ~ (e4 = e1)
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 477 yields:
% 263.51/206.30 | (65) ~ (e4 = e1)
% 263.51/206.30 |
% 263.51/206.30 | Equations (945) can reduce 383 to:
% 263.51/206.30 | (37) ~ (e1 = e0)
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (338), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (892) all_0_28_28 = e4
% 263.51/206.30 |
% 263.51/206.30 | Equations (892) can reduce 890 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (890) ~ (all_0_28_28 = e4)
% 263.51/206.30 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (2527), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (546) all_0_27_27 = e0
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (443,546) yields a new equation:
% 263.51/206.30 | (836) e2 = e0
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 836 yields:
% 263.51/206.30 | (551) e2 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (551) can reduce 347 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (434) ~ (all_0_27_27 = e0)
% 263.51/206.30 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (2533), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (1044) all_0_28_28 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (1044) can reduce 890 to:
% 263.51/206.30 | (389) ~ (e4 = e0)
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 389 yields:
% 263.51/206.30 | (287) ~ (e4 = e0)
% 263.51/206.30 |
% 263.51/206.30 | Equations (1044) can reduce 649 to:
% 263.51/206.30 | (393) ~ (e2 = e0)
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 393 yields:
% 263.51/206.30 | (347) ~ (e2 = e0)
% 263.51/206.30 |
% 263.51/206.30 | Instantiating formula (97) with e4, e3, e2, e0 and discharging atoms op(e4, e3) = e0, yields:
% 263.51/206.30 | (6049) e2 = e0 | ~ (op(e4, e3) = e2)
% 263.51/206.30 |
% 263.51/206.30 | Instantiating formula (97) with e3, e3, e2, e3 and discharging atoms op(e3, e3) = e3, yields:
% 263.51/206.30 | (6050) e3 = e2 | ~ (op(e3, e3) = e2)
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (154), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (685) all_0_24_24 = e4
% 263.51/206.30 |
% 263.51/206.30 | Equations (685) can reduce 87 to:
% 263.51/206.30 | (714) ~ (all_0_19_19 = e4)
% 263.51/206.30 |
% 263.51/206.30 | Equations (685) can reduce 943 to:
% 263.51/206.30 | (65) ~ (e4 = e1)
% 263.51/206.30 |
% 263.51/206.30 | Equations (685) can reduce 382 to:
% 263.51/206.30 | (287) ~ (e4 = e0)
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (166), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (464) all_0_15_15 = e4
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (464,476) yields a new equation:
% 263.51/206.30 | (955) e4 = e1
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 955 yields:
% 263.51/206.30 | (480) e4 = e1
% 263.51/206.30 |
% 263.51/206.30 | Equations (480) can reduce 65 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (460) ~ (all_0_15_15 = e4)
% 263.51/206.30 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (694), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (701) all_0_16_16 = e4
% 263.51/206.30 |
% 263.51/206.30 | Combining equations (701,873) yields a new equation:
% 263.51/206.30 | (842) e4 = e0
% 263.51/206.30 |
% 263.51/206.30 | Simplifying 842 yields:
% 263.51/206.30 | (490) e4 = e0
% 263.51/206.30 |
% 263.51/206.30 | Equations (490) can reduce 287 to:
% 263.51/206.30 | (366) $false
% 263.51/206.30 |
% 263.51/206.30 |-The branch is then unsatisfiable
% 263.51/206.30 |-Branch two:
% 263.51/206.30 | (573) ~ (all_0_16_16 = e4)
% 263.51/206.30 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (864), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (865) all_0_17_17 = e4
% 263.51/206.30 |
% 263.51/206.30 | From (865) and (6016) follows:
% 263.51/206.30 | (3029) op(e4, e3) = e2
% 263.51/206.30 |
% 263.51/206.30 +-Applying beta-rule and splitting (6049), into two cases.
% 263.51/206.30 |-Branch one:
% 263.51/206.30 | (2992) ~ (op(e4, e3) = e2)
% 263.51/206.30 |
% 263.51/206.31 | Using (3029) and (2992) yields:
% 263.51/206.31 | (821) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (3029) op(e4, e3) = e2
% 263.51/206.31 | (551) e2 = e0
% 263.51/206.31 |
% 263.51/206.31 | Equations (551) can reduce 347 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (869) ~ (all_0_17_17 = e4)
% 263.51/206.31 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (870), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (887) all_0_18_18 = e4
% 263.51/206.31 |
% 263.51/206.31 | Equations (887) can reduce 1046 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (1046) ~ (all_0_18_18 = e4)
% 263.51/206.31 | (711) all_0_19_19 = e4
% 263.51/206.31 |
% 263.51/206.31 | Equations (711) can reduce 714 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (580) ~ (all_0_24_24 = e4)
% 263.51/206.31 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (688), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (939) all_0_24_24 = e3
% 263.51/206.31 |
% 263.51/206.31 | Equations (939) can reduce 963 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (963) ~ (all_0_24_24 = e3)
% 263.51/206.31 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (968), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (1393) all_0_24_24 = e2
% 263.51/206.31 |
% 263.51/206.31 | Equations (1393) can reduce 87 to:
% 263.51/206.31 | (2785) ~ (all_0_19_19 = e2)
% 263.51/206.31 |
% 263.51/206.31 | Equations (1393) can reduce 580 to:
% 263.51/206.31 | (444) ~ (e4 = e2)
% 263.51/206.31 |
% 263.51/206.31 | Simplifying 444 yields:
% 263.51/206.31 | (19) ~ (e4 = e2)
% 263.51/206.31 |
% 263.51/206.31 | Equations (1393) can reduce 943 to:
% 263.51/206.31 | (329) ~ (e2 = e1)
% 263.51/206.31 |
% 263.51/206.31 | Equations (1393) can reduce 382 to:
% 263.51/206.31 | (347) ~ (e2 = e0)
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (242), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (711) all_0_19_19 = e4
% 263.51/206.31 |
% 263.51/206.31 | Equations (711) can reduce 333 to:
% 263.51/206.31 | (869) ~ (all_0_17_17 = e4)
% 263.51/206.31 |
% 263.51/206.31 | Equations (711) can reduce 2785 to:
% 263.51/206.31 | (19) ~ (e4 = e2)
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (240), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (865) all_0_17_17 = e4
% 263.51/206.31 |
% 263.51/206.31 | Equations (865) can reduce 869 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (869) ~ (all_0_17_17 = e4)
% 263.51/206.31 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (114), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (472) all_0_15_15 = e2
% 263.51/206.31 |
% 263.51/206.31 | Combining equations (472,476) yields a new equation:
% 263.51/206.31 | (717) e2 = e1
% 263.51/206.31 |
% 263.51/206.31 | Simplifying 717 yields:
% 263.51/206.31 | (718) e2 = e1
% 263.51/206.31 |
% 263.51/206.31 | Equations (718) can reduce 329 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (447) ~ (all_0_15_15 = e2)
% 263.51/206.31 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (2791), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (697) all_0_16_16 = e2
% 263.51/206.31 |
% 263.51/206.31 | Combining equations (697,873) yields a new equation:
% 263.51/206.31 | (836) e2 = e0
% 263.51/206.31 |
% 263.51/206.31 | Simplifying 836 yields:
% 263.51/206.31 | (551) e2 = e0
% 263.51/206.31 |
% 263.51/206.31 | Equations (551) can reduce 347 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (664) ~ (all_0_16_16 = e2)
% 263.51/206.31 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (2933), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (1980) all_0_17_17 = e2
% 263.51/206.31 |
% 263.51/206.31 | Equations (1980) can reduce 459 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.31 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (2937), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (1274) all_0_18_18 = e2
% 263.51/206.31 |
% 263.51/206.31 | Equations (1274) can reduce 74 to:
% 263.51/206.31 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (232), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (1970) all_0_17_17 = e3
% 263.51/206.31 |
% 263.51/206.31 | Equations (1970) can reduce 459 to:
% 263.51/206.31 | (56) ~ (e3 = e2)
% 263.51/206.31 |
% 263.51/206.31 | From (1970) and (6016) follows:
% 263.51/206.31 | (6120) op(e3, e3) = e2
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (6050), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (6121) ~ (op(e3, e3) = e2)
% 263.51/206.31 |
% 263.51/206.31 | Using (6120) and (6121) yields:
% 263.51/206.31 | (821) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (6120) op(e3, e3) = e2
% 263.51/206.31 | (764) e3 = e2
% 263.51/206.31 |
% 263.51/206.31 | Equations (764) can reduce 56 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (558) ~ (all_0_17_17 = e3)
% 263.51/206.31 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (1961), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (1970) all_0_17_17 = e3
% 263.51/206.31 |
% 263.51/206.31 | Equations (1970) can reduce 558 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (558) ~ (all_0_17_17 = e3)
% 263.51/206.31 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (1979), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (1980) all_0_17_17 = e2
% 263.51/206.31 |
% 263.51/206.31 | Equations (1980) can reduce 459 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (459) ~ (all_0_17_17 = e2)
% 263.51/206.31 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (1983), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (1498) all_0_17_17 = e1
% 263.51/206.31 |
% 263.51/206.31 | Equations (1498) can reduce 1501 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (1501) ~ (all_0_17_17 = e1)
% 263.51/206.31 | (823) all_0_17_17 = e0
% 263.51/206.31 |
% 263.51/206.31 | Equations (823) can reduce 2422 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (666) ~ (all_0_18_18 = e2)
% 263.51/206.31 | (663) all_0_19_19 = e2
% 263.51/206.31 |
% 263.51/206.31 | Combining equations (711,663) yields a new equation:
% 263.51/206.31 | (1111) e4 = e2
% 263.51/206.31 |
% 263.51/206.31 | Simplifying 1111 yields:
% 263.51/206.31 | (539) e4 = e2
% 263.51/206.31 |
% 263.51/206.31 | Equations (539) can reduce 19 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (714) ~ (all_0_19_19 = e4)
% 263.51/206.31 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (715), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (685) all_0_24_24 = e4
% 263.51/206.31 |
% 263.51/206.31 | Combining equations (685,1393) yields a new equation:
% 263.51/206.31 | (1111) e4 = e2
% 263.51/206.31 |
% 263.51/206.31 | Simplifying 1111 yields:
% 263.51/206.31 | (539) e4 = e2
% 263.51/206.31 |
% 263.51/206.31 | Equations (539) can reduce 19 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (580) ~ (all_0_24_24 = e4)
% 263.51/206.31 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (166), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (464) all_0_15_15 = e4
% 263.51/206.31 |
% 263.51/206.31 | Combining equations (464,476) yields a new equation:
% 263.51/206.31 | (955) e4 = e1
% 263.51/206.31 |
% 263.51/206.31 | Simplifying 955 yields:
% 263.51/206.31 | (480) e4 = e1
% 263.51/206.31 |
% 263.51/206.31 | Equations (480) can reduce 65 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (460) ~ (all_0_15_15 = e4)
% 263.51/206.31 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 263.51/206.31 |
% 263.51/206.31 | Equations (476) can reduce 460 to:
% 263.51/206.31 | (477) ~ (e4 = e1)
% 263.51/206.31 |
% 263.51/206.31 | Simplifying 477 yields:
% 263.51/206.31 | (65) ~ (e4 = e1)
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (1400), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (1250) all_0_29_29 = e4
% 263.51/206.31 |
% 263.51/206.31 | Combining equations (945,1250) yields a new equation:
% 263.51/206.31 | (480) e4 = e1
% 263.51/206.31 |
% 263.51/206.31 | Equations (480) can reduce 65 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (724) ~ (all_0_29_29 = e4)
% 263.51/206.31 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (1735), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (723) all_0_34_34 = e4
% 263.51/206.31 |
% 263.51/206.31 | Equations (723) can reduce 1395 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (1395) ~ (all_0_34_34 = e4)
% 263.51/206.31 | (365) all_0_39_39 = e4
% 263.51/206.31 |
% 263.51/206.31 | Combining equations (365,380) yields a new equation:
% 263.51/206.31 | (842) e4 = e0
% 263.51/206.31 |
% 263.51/206.31 | Simplifying 842 yields:
% 263.51/206.31 | (490) e4 = e0
% 263.51/206.31 |
% 263.51/206.31 | Equations (490) can reduce 287 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (668) ~ (all_0_24_24 = e2)
% 263.51/206.31 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 263.51/206.31 |
% 263.51/206.31 +-Applying beta-rule and splitting (2760), into two cases.
% 263.51/206.31 |-Branch one:
% 263.51/206.31 | (940) all_0_24_24 = e1
% 263.51/206.31 |
% 263.51/206.31 | Equations (940) can reduce 943 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (943) ~ (all_0_24_24 = e1)
% 263.51/206.31 | (1069) all_0_24_24 = e0
% 263.51/206.31 |
% 263.51/206.31 | Equations (1069) can reduce 382 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (886) ~ (all_0_28_28 = e0)
% 263.51/206.31 | (2537) all_0_29_29 = e0
% 263.51/206.31 |
% 263.51/206.31 | Combining equations (2537,945) yields a new equation:
% 263.51/206.31 | (961) e1 = e0
% 263.51/206.31 |
% 263.51/206.31 | Equations (961) can reduce 37 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (952) ~ (all_0_29_29 = e1)
% 263.51/206.31 | (2537) all_0_29_29 = e0
% 263.51/206.31 |
% 263.51/206.31 | Equations (2537) can reduce 383 to:
% 263.51/206.31 | (366) $false
% 263.51/206.31 |
% 263.51/206.31 |-The branch is then unsatisfiable
% 263.51/206.31 |-Branch two:
% 263.51/206.31 | (566) ~ (all_0_25_25 = e3)
% 263.51/206.32 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (2527), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (546) all_0_27_27 = e0
% 263.51/206.32 |
% 263.51/206.32 | Combining equations (443,546) yields a new equation:
% 263.51/206.32 | (836) e2 = e0
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 836 yields:
% 263.51/206.32 | (551) e2 = e0
% 263.51/206.32 |
% 263.51/206.32 | Equations (551) can reduce 347 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (434) ~ (all_0_27_27 = e0)
% 263.51/206.32 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (2533), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1044) all_0_28_28 = e0
% 263.51/206.32 |
% 263.51/206.32 | Equations (1044) can reduce 193 to:
% 263.51/206.32 | (1925) ~ (all_0_25_25 = e0)
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (2009), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1005) all_0_26_26 = e1
% 263.51/206.32 |
% 263.51/206.32 | Combining equations (1237,1005) yields a new equation:
% 263.51/206.32 | (955) e4 = e1
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 955 yields:
% 263.51/206.32 | (480) e4 = e1
% 263.51/206.32 |
% 263.51/206.32 | Equations (480) can reduce 65 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (1008) ~ (all_0_26_26 = e1)
% 263.51/206.32 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (3158), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (3159) all_0_25_25 = e2
% 263.51/206.32 |
% 263.51/206.32 | Equations (3159) can reduce 646 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (646) ~ (all_0_25_25 = e2)
% 263.51/206.32 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (2035), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (543) all_0_27_27 = e1
% 263.51/206.32 |
% 263.51/206.32 | Combining equations (443,543) yields a new equation:
% 263.51/206.32 | (717) e2 = e1
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 717 yields:
% 263.51/206.32 | (718) e2 = e1
% 263.51/206.32 |
% 263.51/206.32 | Equations (718) can reduce 329 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (402) ~ (all_0_27_27 = e1)
% 263.51/206.32 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (2041), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1041) all_0_28_28 = e1
% 263.51/206.32 |
% 263.51/206.32 | Combining equations (1041,1044) yields a new equation:
% 263.51/206.32 | (960) e1 = e0
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 960 yields:
% 263.51/206.32 | (961) e1 = e0
% 263.51/206.32 |
% 263.51/206.32 | Equations (961) can reduce 37 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (421) ~ (all_0_28_28 = e1)
% 263.51/206.32 | (945) all_0_29_29 = e1
% 263.51/206.32 |
% 263.51/206.32 | Equations (945) can reduce 62 to:
% 263.51/206.32 | (946) ~ (all_0_25_25 = e1)
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (3162), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (950) all_0_25_25 = e1
% 263.51/206.32 |
% 263.51/206.32 | Equations (950) can reduce 946 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (946) ~ (all_0_25_25 = e1)
% 263.51/206.32 | (1921) all_0_25_25 = e0
% 263.51/206.32 |
% 263.51/206.32 | Equations (1921) can reduce 1925 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (886) ~ (all_0_28_28 = e0)
% 263.51/206.32 | (2537) all_0_29_29 = e0
% 263.51/206.32 |
% 263.51/206.32 | Equations (2537) can reduce 383 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (582) ~ (all_0_26_26 = e4)
% 263.51/206.32 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (5353), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (2443) all_0_26_26 = e3
% 263.51/206.32 |
% 263.51/206.32 | Equations (2443) can reduce 504 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (504) ~ (all_0_26_26 = e3)
% 263.51/206.32 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (5357), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (2380) all_0_26_26 = e2
% 263.51/206.32 |
% 263.51/206.32 | Equations (2380) can reduce 647 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (647) ~ (all_0_26_26 = e2)
% 263.51/206.32 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (163), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (701) all_0_16_16 = e4
% 263.51/206.32 |
% 263.51/206.32 | Combining equations (873,701) yields a new equation:
% 263.51/206.32 | (490) e4 = e0
% 263.51/206.32 |
% 263.51/206.32 | Equations (490) can reduce 287 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (573) ~ (all_0_16_16 = e4)
% 263.51/206.32 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (6243), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (449) all_0_21_21 = e4
% 263.51/206.32 |
% 263.51/206.32 | Combining equations (453,449) yields a new equation:
% 263.51/206.32 | (691) e4 = e3
% 263.51/206.32 |
% 263.51/206.32 | Equations (691) can reduce 277 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (448) ~ (all_0_21_21 = e4)
% 263.51/206.32 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (5361), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1005) all_0_26_26 = e1
% 263.51/206.32 |
% 263.51/206.32 | Equations (1005) can reduce 38 to:
% 263.51/206.32 | (3164) ~ (all_0_29_29 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 3164 yields:
% 263.51/206.32 | (952) ~ (all_0_29_29 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Equations (1005) can reduce 145 to:
% 263.51/206.32 | (1613) ~ (all_0_31_31 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 1613 yields:
% 263.51/206.32 | (423) ~ (all_0_31_31 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Equations (1005) can reduce 170 to:
% 263.51/206.32 | (2547) ~ (all_0_36_36 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 2547 yields:
% 263.51/206.32 | (1593) ~ (all_0_36_36 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Equations (1005) can reduce 582 to:
% 263.51/206.32 | (477) ~ (e4 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 477 yields:
% 263.51/206.32 | (65) ~ (e4 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Equations (1005) can reduce 1058 to:
% 263.51/206.32 | (37) ~ (e1 = e0)
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (6248), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1237) all_0_26_26 = e4
% 263.51/206.32 |
% 263.51/206.32 | Combining equations (1005,1237) yields a new equation:
% 263.51/206.32 | (480) e4 = e1
% 263.51/206.32 |
% 263.51/206.32 | Equations (480) can reduce 65 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (582) ~ (all_0_26_26 = e4)
% 263.51/206.32 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (115), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1446) all_0_31_31 = e4
% 263.51/206.32 |
% 263.51/206.32 | Equations (1446) can reduce 584 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (584) ~ (all_0_31_31 = e4)
% 263.51/206.32 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (6263), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1446) all_0_31_31 = e4
% 263.51/206.32 |
% 263.51/206.32 | Equations (1446) can reduce 584 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (584) ~ (all_0_31_31 = e4)
% 263.51/206.32 | (2611) all_0_36_36 = e4
% 263.51/206.32 |
% 263.51/206.32 | Equations (2611) can reduce 7 to:
% 263.51/206.32 | (584) ~ (all_0_31_31 = e4)
% 263.51/206.32 |
% 263.51/206.32 | Equations (2611) can reduce 273 to:
% 263.51/206.32 | (514) ~ (all_0_35_35 = e4)
% 263.51/206.32 |
% 263.51/206.32 | Equations (2611) can reduce 183 to:
% 263.51/206.32 | (3299) ~ (all_0_37_37 = e4)
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 3299 yields:
% 263.51/206.32 | (2658) ~ (all_0_37_37 = e4)
% 263.51/206.32 |
% 263.51/206.32 | Equations (2611) can reduce 1593 to:
% 263.51/206.32 | (65) ~ (e4 = e1)
% 263.51/206.32 |
% 263.51/206.32 | Equations (2611) can reduce 386 to:
% 263.51/206.32 | (287) ~ (e4 = e0)
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (1631), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (763) all_0_31_31 = e3
% 263.51/206.32 |
% 263.51/206.32 | Equations (763) can reduce 510 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (510) ~ (all_0_31_31 = e3)
% 263.51/206.32 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (1635), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (751) all_0_31_31 = e2
% 263.51/206.32 |
% 263.51/206.32 | Equations (751) can reduce 188 to:
% 263.51/206.32 | (671) ~ (all_0_34_34 = e2)
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 671 yields:
% 263.51/206.32 | (672) ~ (all_0_34_34 = e2)
% 263.51/206.32 |
% 263.51/206.32 | Equations (751) can reduce 584 to:
% 263.51/206.32 | (444) ~ (e4 = e2)
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 444 yields:
% 263.51/206.32 | (19) ~ (e4 = e2)
% 263.51/206.32 |
% 263.51/206.32 | Equations (751) can reduce 1064 to:
% 263.51/206.32 | (347) ~ (e2 = e0)
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (122), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1161) all_0_35_35 = e4
% 263.51/206.32 |
% 263.51/206.32 | Equations (1161) can reduce 514 to:
% 263.51/206.32 | (366) $false
% 263.51/206.32 |
% 263.51/206.32 |-The branch is then unsatisfiable
% 263.51/206.32 |-Branch two:
% 263.51/206.32 | (514) ~ (all_0_35_35 = e4)
% 263.51/206.32 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (357), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (1250) all_0_29_29 = e4
% 263.51/206.32 |
% 263.51/206.32 | Equations (1250) can reduce 229 to:
% 263.51/206.32 | (714) ~ (all_0_19_19 = e4)
% 263.51/206.32 |
% 263.51/206.32 | Equations (1250) can reduce 62 to:
% 263.51/206.32 | (501) ~ (all_0_25_25 = e4)
% 263.51/206.32 |
% 263.51/206.32 | Equations (1250) can reduce 952 to:
% 263.51/206.32 | (65) ~ (e4 = e1)
% 263.51/206.32 |
% 263.51/206.32 +-Applying beta-rule and splitting (8), into two cases.
% 263.51/206.32 |-Branch one:
% 263.51/206.32 | (464) all_0_15_15 = e4
% 263.51/206.32 |
% 263.51/206.32 | Combining equations (464,476) yields a new equation:
% 263.51/206.32 | (955) e4 = e1
% 263.51/206.32 |
% 263.51/206.32 | Simplifying 955 yields:
% 263.51/206.33 | (480) e4 = e1
% 263.51/206.33 |
% 263.51/206.33 | Equations (480) can reduce 65 to:
% 263.51/206.33 | (366) $false
% 263.51/206.33 |
% 263.51/206.33 |-The branch is then unsatisfiable
% 263.51/206.33 |-Branch two:
% 263.51/206.33 | (460) ~ (all_0_15_15 = e4)
% 263.51/206.33 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.51/206.33 |
% 263.51/206.33 +-Applying beta-rule and splitting (914), into two cases.
% 263.51/206.33 |-Branch one:
% 263.51/206.33 | (1453) all_0_20_20 = e4
% 263.51/206.33 |
% 263.51/206.33 | From (1453) and (5587) follows:
% 263.51/206.33 | (2088) op(e4, e0) = e4
% 263.51/206.33 |
% 263.51/206.33 +-Applying beta-rule and splitting (5589), into two cases.
% 263.51/206.33 |-Branch one:
% 263.51/206.33 | (2089) ~ (op(e4, e0) = e4)
% 263.51/206.33 |
% 263.51/206.33 | Using (2088) and (2089) yields:
% 263.51/206.33 | (821) $false
% 263.51/206.33 |
% 263.51/206.33 |-The branch is then unsatisfiable
% 263.51/206.33 |-Branch two:
% 263.70/206.33 | (2088) op(e4, e0) = e4
% 263.70/206.33 | (711) all_0_19_19 = e4
% 263.70/206.33 |
% 263.70/206.33 | Equations (711) can reduce 714 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (496) ~ (all_0_20_20 = e4)
% 263.70/206.33 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (1456), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (1158) all_0_25_25 = e4
% 263.70/206.33 |
% 263.70/206.33 | Equations (1158) can reduce 501 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (501) ~ (all_0_25_25 = e4)
% 263.70/206.33 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (1460), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (768) all_0_30_30 = e4
% 263.70/206.33 |
% 263.70/206.33 | Equations (768) can reduce 509 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (509) ~ (all_0_30_30 = e4)
% 263.70/206.33 | (1161) all_0_35_35 = e4
% 263.70/206.33 |
% 263.70/206.33 | Equations (1161) can reduce 514 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (724) ~ (all_0_29_29 = e4)
% 263.70/206.33 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (285), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (1158) all_0_25_25 = e4
% 263.70/206.33 |
% 263.70/206.33 | Equations (1158) can reduce 193 to:
% 263.70/206.33 | (889) ~ (all_0_28_28 = e4)
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 889 yields:
% 263.70/206.33 | (890) ~ (all_0_28_28 = e4)
% 263.70/206.33 |
% 263.70/206.33 | Equations (1158) can reduce 646 to:
% 263.70/206.33 | (19) ~ (e4 = e2)
% 263.70/206.33 |
% 263.70/206.33 | From (1158) and (57) follows:
% 263.70/206.33 | (1819) op(all_0_17_17, e4) = e2
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (2812), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (1023) all_0_29_29 = e3
% 263.70/206.33 |
% 263.70/206.33 | Equations (1023) can reduce 73 to:
% 263.70/206.33 | (1035) ~ (all_0_28_28 = e3)
% 263.70/206.33 |
% 263.70/206.33 | Equations (1023) can reduce 41 to:
% 263.70/206.33 | (2981) ~ (all_0_34_34 = e3)
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 2981 yields:
% 263.70/206.33 | (1031) ~ (all_0_34_34 = e3)
% 263.70/206.33 |
% 263.70/206.33 | Equations (1023) can reduce 383 to:
% 263.70/206.33 | (88) ~ (e3 = e0)
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (338), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (892) all_0_28_28 = e4
% 263.70/206.33 |
% 263.70/206.33 | Equations (892) can reduce 890 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (890) ~ (all_0_28_28 = e4)
% 263.70/206.33 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (241), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (1921) all_0_25_25 = e0
% 263.70/206.33 |
% 263.70/206.33 | Combining equations (1921,1158) yields a new equation:
% 263.70/206.33 | (490) e4 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (490) can reduce 287 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (1925) ~ (all_0_25_25 = e0)
% 263.70/206.33 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (83), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (723) all_0_34_34 = e4
% 263.70/206.33 |
% 263.70/206.33 | Equations (723) can reduce 1395 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (1395) ~ (all_0_34_34 = e4)
% 263.70/206.33 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (1396), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (1027) all_0_34_34 = e3
% 263.70/206.33 |
% 263.70/206.33 | Equations (1027) can reduce 1031 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (1031) ~ (all_0_34_34 = e3)
% 263.70/206.33 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (1926), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (883) all_0_26_26 = e0
% 263.70/206.33 |
% 263.70/206.33 | Combining equations (1005,883) yields a new equation:
% 263.70/206.33 | (960) e1 = e0
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 960 yields:
% 263.70/206.33 | (961) e1 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (961) can reduce 37 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (1058) ~ (all_0_26_26 = e0)
% 263.70/206.33 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (1709), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (1110) all_0_34_34 = e2
% 263.70/206.33 |
% 263.70/206.33 | Equations (1110) can reduce 672 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (672) ~ (all_0_34_34 = e2)
% 263.70/206.33 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (895), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (896) all_0_28_28 = e3
% 263.70/206.33 |
% 263.70/206.33 | Equations (896) can reduce 1035 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (1035) ~ (all_0_28_28 = e3)
% 263.70/206.33 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (1713), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (954) all_0_34_34 = e1
% 263.70/206.33 |
% 263.70/206.33 | Equations (954) can reduce 672 to:
% 263.70/206.33 | (1002) ~ (e2 = e1)
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 1002 yields:
% 263.70/206.33 | (329) ~ (e2 = e1)
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (2527), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (546) all_0_27_27 = e0
% 263.70/206.33 |
% 263.70/206.33 | Combining equations (443,546) yields a new equation:
% 263.70/206.33 | (836) e2 = e0
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 836 yields:
% 263.70/206.33 | (551) e2 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (551) can reduce 347 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (434) ~ (all_0_27_27 = e0)
% 263.70/206.33 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (2533), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (1044) all_0_28_28 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (1044) can reduce 86 to:
% 263.70/206.33 | (1068) ~ (all_0_23_23 = e0)
% 263.70/206.33 |
% 263.70/206.33 | Equations (1044) can reduce 890 to:
% 263.70/206.33 | (389) ~ (e4 = e0)
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 389 yields:
% 263.70/206.33 | (287) ~ (e4 = e0)
% 263.70/206.33 |
% 263.70/206.33 | Equations (1044) can reduce 1035 to:
% 263.70/206.33 | (391) ~ (e3 = e0)
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 391 yields:
% 263.70/206.33 | (88) ~ (e3 = e0)
% 263.70/206.33 |
% 263.70/206.33 | Equations (1044) can reduce 649 to:
% 263.70/206.33 | (393) ~ (e2 = e0)
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 393 yields:
% 263.70/206.33 | (347) ~ (e2 = e0)
% 263.70/206.33 |
% 263.70/206.33 | From (1044) and (200) follows:
% 263.70/206.33 | (6380) op(all_0_32_32, e0) = e2
% 263.70/206.33 |
% 263.70/206.33 | Instantiating formula (97) with e4, e4, e2, e1 and discharging atoms op(e4, e4) = e1, yields:
% 263.70/206.33 | (5603) e2 = e1 | ~ (op(e4, e4) = e2)
% 263.70/206.33 |
% 263.70/206.33 | Instantiating formula (97) with all_0_32_32, e0, e2, e4 and discharging atoms op(all_0_32_32, e0) = e2, yields:
% 263.70/206.33 | (6382) e4 = e2 | ~ (op(all_0_32_32, e0) = e4)
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (135), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (835) all_0_20_20 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (835) can reduce 211 to:
% 263.70/206.33 | (825) ~ (all_0_22_22 = e0)
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 825 yields:
% 263.70/206.33 | (826) ~ (all_0_22_22 = e0)
% 263.70/206.33 |
% 263.70/206.33 | From (835) and (5587) follows:
% 263.70/206.33 | (489) op(e0, e0) = e4
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (222), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (823) all_0_17_17 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (823) can reduce 2422 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (2422) ~ (all_0_17_17 = e0)
% 263.70/206.33 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (2515), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (847) all_0_22_22 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (847) can reduce 826 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (826) ~ (all_0_22_22 = e0)
% 263.70/206.33 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (3101), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (546) all_0_27_27 = e0
% 263.70/206.33 |
% 263.70/206.33 | Combining equations (443,546) yields a new equation:
% 263.70/206.33 | (836) e2 = e0
% 263.70/206.33 |
% 263.70/206.33 | Simplifying 836 yields:
% 263.70/206.33 | (551) e2 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (551) can reduce 347 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (434) ~ (all_0_27_27 = e0)
% 263.70/206.33 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (3107), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (1626) all_0_32_32 = e0
% 263.70/206.33 |
% 263.70/206.33 +-Applying beta-rule and splitting (6382), into two cases.
% 263.70/206.33 |-Branch one:
% 263.70/206.33 | (6402) ~ (op(all_0_32_32, e0) = e4)
% 263.70/206.33 |
% 263.70/206.33 | From (1626) and (6402) follows:
% 263.70/206.33 | (6403) ~ (op(e0, e0) = e4)
% 263.70/206.33 |
% 263.70/206.33 | Using (489) and (6403) yields:
% 263.70/206.33 | (821) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (6405) op(all_0_32_32, e0) = e4
% 263.70/206.33 | (539) e4 = e2
% 263.70/206.33 |
% 263.70/206.33 | Equations (539) can reduce 19 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.33 |-Branch two:
% 263.70/206.33 | (1946) ~ (all_0_32_32 = e0)
% 263.70/206.33 | (3111) all_0_37_37 = e0
% 263.70/206.33 |
% 263.70/206.33 | Equations (3111) can reduce 387 to:
% 263.70/206.33 | (366) $false
% 263.70/206.33 |
% 263.70/206.33 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (839) ~ (all_0_20_20 = e0)
% 263.70/206.34 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (840), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (529) all_0_21_21 = e0
% 263.70/206.34 |
% 263.70/206.34 | Combining equations (529,453) yields a new equation:
% 263.70/206.34 | (980) e3 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (980) can reduce 88 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (398) ~ (all_0_21_21 = e0)
% 263.70/206.34 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (846), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (847) all_0_22_22 = e0
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (59), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (865) all_0_17_17 = e4
% 263.70/206.34 |
% 263.70/206.34 | From (865) and (1819) follows:
% 263.70/206.34 | (1335) op(e4, e4) = e2
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (5603), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (1336) ~ (op(e4, e4) = e2)
% 263.70/206.34 |
% 263.70/206.34 | Using (1335) and (1336) yields:
% 263.70/206.34 | (821) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (1335) op(e4, e4) = e2
% 263.70/206.34 | (718) e2 = e1
% 263.70/206.34 |
% 263.70/206.34 | Equations (718) can reduce 329 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (869) ~ (all_0_17_17 = e4)
% 263.70/206.34 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (1148), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (831) all_0_22_22 = e4
% 263.70/206.34 |
% 263.70/206.34 | Combining equations (847,831) yields a new equation:
% 263.70/206.34 | (490) e4 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (490) can reduce 287 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (576) ~ (all_0_22_22 = e4)
% 263.70/206.34 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (1152), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (435) all_0_27_27 = e4
% 263.70/206.34 |
% 263.70/206.34 | Combining equations (443,435) yields a new equation:
% 263.70/206.34 | (539) e4 = e2
% 263.70/206.34 |
% 263.70/206.34 | Equations (539) can reduce 19 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (404) ~ (all_0_27_27 = e4)
% 263.70/206.34 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (1222), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (1229) all_0_32_32 = e4
% 263.70/206.34 |
% 263.70/206.34 | Equations (1229) can reduce 727 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (727) ~ (all_0_32_32 = e4)
% 263.70/206.34 | (1232) all_0_37_37 = e4
% 263.70/206.34 |
% 263.70/206.34 | Equations (1232) can reduce 2658 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (826) ~ (all_0_22_22 = e0)
% 263.70/206.34 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (850), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (851) all_0_23_23 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (851) can reduce 1068 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (1068) ~ (all_0_23_23 = e0)
% 263.70/206.34 | (1069) all_0_24_24 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (1069) can reduce 382 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (886) ~ (all_0_28_28 = e0)
% 263.70/206.34 | (2537) all_0_29_29 = e0
% 263.70/206.34 |
% 263.70/206.34 | Combining equations (2537,1023) yields a new equation:
% 263.70/206.34 | (980) e3 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (980) can reduce 88 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (426) ~ (all_0_34_34 = e1)
% 263.70/206.34 | (1717) all_0_34_34 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (1717) can reduce 384 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (898) ~ (all_0_29_29 = e3)
% 263.70/206.34 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (5409), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (4103) all_0_29_29 = e2
% 263.70/206.34 |
% 263.70/206.34 | Equations (4103) can reduce 651 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (651) ~ (all_0_29_29 = e2)
% 263.70/206.34 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (5413), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (945) all_0_29_29 = e1
% 263.70/206.34 |
% 263.70/206.34 | Equations (945) can reduce 952 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (952) ~ (all_0_29_29 = e1)
% 263.70/206.34 | (2537) all_0_29_29 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (2537) can reduce 383 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (501) ~ (all_0_25_25 = e4)
% 263.70/206.34 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (8), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (464) all_0_15_15 = e4
% 263.70/206.34 |
% 263.70/206.34 | Combining equations (464,476) yields a new equation:
% 263.70/206.34 | (955) e4 = e1
% 263.70/206.34 |
% 263.70/206.34 | Simplifying 955 yields:
% 263.70/206.34 | (480) e4 = e1
% 263.70/206.34 |
% 263.70/206.34 | Equations (480) can reduce 65 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (460) ~ (all_0_15_15 = e4)
% 263.70/206.34 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.70/206.34 |
% 263.70/206.34 | Equations (476) can reduce 460 to:
% 263.70/206.34 | (477) ~ (e4 = e1)
% 263.70/206.34 |
% 263.70/206.34 | Simplifying 477 yields:
% 263.70/206.34 | (65) ~ (e4 = e1)
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (1217), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (1237) all_0_26_26 = e4
% 263.70/206.34 |
% 263.70/206.34 | Combining equations (1005,1237) yields a new equation:
% 263.70/206.34 | (480) e4 = e1
% 263.70/206.34 |
% 263.70/206.34 | Equations (480) can reduce 65 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (582) ~ (all_0_26_26 = e4)
% 263.70/206.34 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (1240), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (435) all_0_27_27 = e4
% 263.70/206.34 |
% 263.70/206.34 | Combining equations (443,435) yields a new equation:
% 263.70/206.34 | (539) e4 = e2
% 263.70/206.34 |
% 263.70/206.34 | Equations (539) can reduce 19 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (404) ~ (all_0_27_27 = e4)
% 263.70/206.34 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (1245), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (892) all_0_28_28 = e4
% 263.70/206.34 |
% 263.70/206.34 | Equations (892) can reduce 890 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (890) ~ (all_0_28_28 = e4)
% 263.70/206.34 | (1250) all_0_29_29 = e4
% 263.70/206.34 |
% 263.70/206.34 | Equations (1250) can reduce 724 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (1099) ~ (all_0_31_31 = e2)
% 263.70/206.34 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (1639), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (1010) all_0_31_31 = e1
% 263.70/206.34 |
% 263.70/206.34 | Equations (1010) can reduce 423 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (423) ~ (all_0_31_31 = e1)
% 263.70/206.34 | (1060) all_0_31_31 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (1060) can reduce 1064 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (1008) ~ (all_0_26_26 = e1)
% 263.70/206.34 | (883) all_0_26_26 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (883) can reduce 1058 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (824) ~ (all_0_16_16 = e0)
% 263.70/206.34 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (334), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (483) all_0_15_15 = e0
% 263.70/206.34 |
% 263.70/206.34 | Combining equations (483,476) yields a new equation:
% 263.70/206.34 | (961) e1 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (961) can reduce 37 to:
% 263.70/206.34 | (366) $false
% 263.70/206.34 |
% 263.70/206.34 |-The branch is then unsatisfiable
% 263.70/206.34 |-Branch two:
% 263.70/206.34 | (463) ~ (all_0_15_15 = e0)
% 263.70/206.34 | (2584) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 263.70/206.34 |
% 263.70/206.34 | Equations (476) can reduce 463 to:
% 263.70/206.34 | (37) ~ (e1 = e0)
% 263.70/206.34 |
% 263.70/206.34 +-Applying beta-rule and splitting (270), into two cases.
% 263.70/206.34 |-Branch one:
% 263.70/206.34 | (701) all_0_16_16 = e4
% 263.70/206.34 |
% 263.70/206.34 | Equations (701) can reduce 9 to:
% 263.70/206.34 | (1493) ~ (all_0_18_18 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Simplifying 1493 yields:
% 263.70/206.34 | (1046) ~ (all_0_18_18 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Equations (701) can reduce 236 to:
% 263.70/206.34 | (6514) ~ (all_0_19_19 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Simplifying 6514 yields:
% 263.70/206.34 | (714) ~ (all_0_19_19 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Equations (701) can reduce 139 to:
% 263.70/206.34 | (581) ~ (all_0_26_26 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Simplifying 581 yields:
% 263.70/206.34 | (582) ~ (all_0_26_26 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Equations (701) can reduce 10 to:
% 263.70/206.34 | (583) ~ (all_0_31_31 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Simplifying 583 yields:
% 263.70/206.34 | (584) ~ (all_0_31_31 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Equations (701) can reduce 64 to:
% 263.70/206.34 | (585) ~ (all_0_36_36 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Simplifying 585 yields:
% 263.70/206.34 | (586) ~ (all_0_36_36 = e4)
% 263.70/206.34 |
% 263.70/206.34 | Equations (701) can reduce 458 to:
% 263.70/206.34 | (277) ~ (e4 = e3)
% 263.70/206.34 |
% 263.70/206.34 | Equations (701) can reduce 824 to:
% 263.70/206.34 | (287) ~ (e4 = e0)
% 263.70/206.34 |
% 263.70/206.34 | From (701) and (124) follows:
% 263.70/206.35 | (6524) op(e4, all_0_20_20) = e3
% 263.70/206.35 |
% 263.70/206.35 | From (701) and (40) follows:
% 263.70/206.35 | (6525) op(all_0_20_20, e4) = e4
% 263.70/206.35 |
% 263.70/206.35 | Instantiating formula (97) with e2, e4, e4, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 263.70/206.35 | (2805) all_0_25_25 = e4 | ~ (op(e2, e4) = e4)
% 263.70/206.35 |
% 263.70/206.35 | Instantiating formula (97) with e4, e4, e3, e1 and discharging atoms op(e4, e4) = e1, yields:
% 263.70/206.35 | (6527) e3 = e1 | ~ (op(e4, e4) = e3)
% 263.70/206.35 |
% 263.70/206.35 | Instantiating formula (97) with e4, e2, e3, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 263.70/206.35 | (6528) all_0_17_17 = e3 | ~ (op(e4, e2) = e3)
% 263.70/206.35 |
% 263.70/206.35 | Instantiating formula (97) with e4, e0, e3, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 263.70/206.35 | (6529) all_0_19_19 = e3 | ~ (op(e4, e0) = e3)
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (285), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (1158) all_0_25_25 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (1158) can reduce 62 to:
% 263.70/206.35 | (2797) ~ (all_0_29_29 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 2797 yields:
% 263.70/206.35 | (724) ~ (all_0_29_29 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1158) can reduce 58 to:
% 263.70/206.35 | (3310) ~ (all_0_30_30 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 3310 yields:
% 263.70/206.35 | (509) ~ (all_0_30_30 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1158) can reduce 98 to:
% 263.70/206.35 | (1159) ~ (all_0_35_35 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 1159 yields:
% 263.70/206.35 | (514) ~ (all_0_35_35 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1158) can reduce 946 to:
% 263.70/206.35 | (65) ~ (e4 = e1)
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (165), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (1161) all_0_35_35 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (1161) can reduce 514 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (514) ~ (all_0_35_35 = e4)
% 263.70/206.35 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (242), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (711) all_0_19_19 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (711) can reduce 714 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (714) ~ (all_0_19_19 = e4)
% 263.70/206.35 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (1164), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (2611) all_0_36_36 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (2611) can reduce 586 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (586) ~ (all_0_36_36 = e4)
% 263.70/206.35 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (715), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (685) all_0_24_24 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (685) can reduce 87 to:
% 263.70/206.35 | (714) ~ (all_0_19_19 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (685) can reduce 167 to:
% 263.70/206.35 | (496) ~ (all_0_20_20 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (685) can reduce 85 to:
% 263.70/206.35 | (2797) ~ (all_0_29_29 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 2797 yields:
% 263.70/206.35 | (724) ~ (all_0_29_29 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (685) can reduce 4 to:
% 263.70/206.35 | (2206) ~ (all_0_34_34 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 2206 yields:
% 263.70/206.35 | (1395) ~ (all_0_34_34 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (685) can reduce 382 to:
% 263.70/206.35 | (287) ~ (e4 = e0)
% 263.70/206.35 |
% 263.70/206.35 | From (685) and (158) follows:
% 263.70/206.35 | (6558) op(e4, all_0_36_36) = e0
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (2633), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (1232) all_0_37_37 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (1232) can reduce 132 to:
% 263.70/206.35 | (869) ~ (all_0_17_17 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1232) can reduce 336 to:
% 263.70/206.35 | (727) ~ (all_0_32_32 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1232) can reduce 121 to:
% 263.70/206.35 | (514) ~ (all_0_35_35 = e4)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1232) can reduce 387 to:
% 263.70/206.35 | (287) ~ (e4 = e0)
% 263.70/206.35 |
% 263.70/206.35 | From (1232) and (348) follows:
% 263.70/206.35 | (6564) op(all_0_29_29, e4) = e0
% 263.70/206.35 |
% 263.70/206.35 | From (1232) and (310) follows:
% 263.70/206.35 | (1837) op(e4, all_0_29_29) = e2
% 263.70/206.35 |
% 263.70/206.35 | Instantiating formula (97) with e1, e4, e0, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 263.70/206.35 | (4342) all_0_30_30 = e0 | ~ (op(e1, e4) = e0)
% 263.70/206.35 |
% 263.70/206.35 | Instantiating formula (97) with e4, e1, e2, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 263.70/206.35 | (2245) all_0_18_18 = e2 | ~ (op(e4, e1) = e2)
% 263.70/206.35 |
% 263.70/206.35 | Instantiating formula (97) with e4, e2, e0, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 263.70/206.35 | (735) all_0_17_17 = e0 | ~ (op(e4, e2) = e0)
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (16), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (1196) all_0_35_35 = e1
% 263.70/206.35 |
% 263.70/206.35 | Equations (1196) can reduce 1177 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (1177) ~ (all_0_35_35 = e1)
% 263.70/206.35 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (240), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (865) all_0_17_17 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (865) can reduce 869 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (869) ~ (all_0_17_17 = e4)
% 263.70/206.35 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (51), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (736) all_0_20_20 = e2
% 263.70/206.35 |
% 263.70/206.35 | Equations (736) can reduce 116 to:
% 263.70/206.35 | (739) ~ (all_0_30_30 = e2)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 739 yields:
% 263.70/206.35 | (740) ~ (all_0_30_30 = e2)
% 263.70/206.35 |
% 263.70/206.35 | Equations (736) can reduce 249 to:
% 263.70/206.35 | (741) ~ (all_0_35_35 = e2)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 741 yields:
% 263.70/206.35 | (742) ~ (all_0_35_35 = e2)
% 263.70/206.35 |
% 263.70/206.35 | From (736) and (6524) follows:
% 263.70/206.35 | (6582) op(e4, e2) = e3
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (206), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (483) all_0_15_15 = e0
% 263.70/206.35 |
% 263.70/206.35 | Combining equations (483,476) yields a new equation:
% 263.70/206.35 | (961) e1 = e0
% 263.70/206.35 |
% 263.70/206.35 | Equations (961) can reduce 37 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (463) ~ (all_0_15_15 = e0)
% 263.70/206.35 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (122), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (1161) all_0_35_35 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (1161) can reduce 514 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (514) ~ (all_0_35_35 = e4)
% 263.70/206.35 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (1889), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (835) all_0_20_20 = e0
% 263.70/206.35 |
% 263.70/206.35 | Combining equations (835,736) yields a new equation:
% 263.70/206.35 | (551) e2 = e0
% 263.70/206.35 |
% 263.70/206.35 | Equations (551) can reduce 347 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (839) ~ (all_0_20_20 = e0)
% 263.70/206.35 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (1920), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (1921) all_0_25_25 = e0
% 263.70/206.35 |
% 263.70/206.35 | Combining equations (1158,1921) yields a new equation:
% 263.70/206.35 | (842) e4 = e0
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 842 yields:
% 263.70/206.35 | (490) e4 = e0
% 263.70/206.35 |
% 263.70/206.35 | Equations (490) can reduce 287 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (1925) ~ (all_0_25_25 = e0)
% 263.70/206.35 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 263.70/206.35 |
% 263.70/206.35 | Equations (1158) can reduce 1925 to:
% 263.70/206.35 | (287) ~ (e4 = e0)
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (1181), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (814) all_0_35_35 = e3
% 263.70/206.35 |
% 263.70/206.35 | Equations (814) can reduce 96 to:
% 263.70/206.35 | (568) ~ (all_0_30_30 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Equations (814) can reduce 173 to:
% 263.70/206.35 | (2070) ~ (all_0_38_38 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 2070 yields:
% 263.70/206.35 | (1080) ~ (all_0_38_38 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Equations (814) can reduce 385 to:
% 263.70/206.35 | (88) ~ (e3 = e0)
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (6528), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (6609) ~ (op(e4, e2) = e3)
% 263.70/206.35 |
% 263.70/206.35 | Using (6582) and (6609) yields:
% 263.70/206.35 | (821) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (6582) op(e4, e2) = e3
% 263.70/206.35 | (1970) all_0_17_17 = e3
% 263.70/206.35 |
% 263.70/206.35 | Equations (1970) can reduce 74 to:
% 263.70/206.35 | (559) ~ (all_0_18_18 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 559 yields:
% 263.70/206.35 | (560) ~ (all_0_18_18 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1970) can reduce 333 to:
% 263.70/206.35 | (561) ~ (all_0_19_19 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 561 yields:
% 263.70/206.35 | (562) ~ (all_0_19_19 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1970) can reduce 184 to:
% 263.70/206.35 | (5493) ~ (all_0_22_22 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 5493 yields:
% 263.70/206.35 | (774) ~ (all_0_22_22 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1970) can reduce 286 to:
% 263.70/206.35 | (6619) ~ (all_0_32_32 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 6619 yields:
% 263.70/206.35 | (1089) ~ (all_0_32_32 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1970) can reduce 869 to:
% 263.70/206.35 | (695) ~ (e4 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Simplifying 695 yields:
% 263.70/206.35 | (277) ~ (e4 = e3)
% 263.70/206.35 |
% 263.70/206.35 | Equations (1970) can reduce 1501 to:
% 263.70/206.35 | (318) ~ (e3 = e1)
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (239), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (768) all_0_30_30 = e4
% 263.70/206.35 |
% 263.70/206.35 | Equations (768) can reduce 509 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (509) ~ (all_0_30_30 = e4)
% 263.70/206.35 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (2584), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (873) all_0_16_16 = e0
% 263.70/206.35 |
% 263.70/206.35 | Combining equations (873,701) yields a new equation:
% 263.70/206.35 | (490) e4 = e0
% 263.70/206.35 |
% 263.70/206.35 | Equations (490) can reduce 287 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (824) ~ (all_0_16_16 = e0)
% 263.70/206.35 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (155), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.35 | (759) all_0_30_30 = e3
% 263.70/206.35 |
% 263.70/206.35 | Equations (759) can reduce 568 to:
% 263.70/206.35 | (366) $false
% 263.70/206.35 |
% 263.70/206.35 |-The branch is then unsatisfiable
% 263.70/206.35 |-Branch two:
% 263.70/206.35 | (568) ~ (all_0_30_30 = e3)
% 263.70/206.35 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 263.70/206.35 |
% 263.70/206.35 +-Applying beta-rule and splitting (5525), into two cases.
% 263.70/206.35 |-Branch one:
% 263.70/206.36 | (6637) all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 263.70/206.36 |
% 263.70/206.36 | Applying alpha-rule on (6637) yields:
% 263.70/206.36 | (6638) all_0_11_11 = all_0_18_18
% 263.70/206.36 | (560) ~ (all_0_18_18 = e3)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (269), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (1134) all_0_18_18 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (1134) can reduce 560 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (560) ~ (all_0_18_18 = e3)
% 263.70/206.36 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (1938), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (790) all_0_30_30 = e0
% 263.70/206.36 |
% 263.70/206.36 | Equations (790) can reduce 217 to:
% 263.70/206.36 | (1856) ~ (all_0_31_31 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 1856 yields:
% 263.70/206.36 | (1064) ~ (all_0_31_31 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Equations (790) can reduce 186 to:
% 263.70/206.36 | (2961) ~ (all_0_32_32 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 2961 yields:
% 263.70/206.36 | (1946) ~ (all_0_32_32 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Equations (790) can reduce 15 to:
% 263.70/206.36 | (2963) ~ (all_0_34_34 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 2963 yields:
% 263.70/206.36 | (384) ~ (all_0_34_34 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Equations (790) can reduce 509 to:
% 263.70/206.36 | (389) ~ (e4 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 389 yields:
% 263.70/206.36 | (287) ~ (e4 = e0)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (762), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (763) all_0_31_31 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (763) can reduce 510 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (510) ~ (all_0_31_31 = e3)
% 263.70/206.36 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (767), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (772) all_0_32_32 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (772) can reduce 1089 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (1089) ~ (all_0_32_32 = e3)
% 263.70/206.36 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (225), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (711) all_0_19_19 = e4
% 263.70/206.36 |
% 263.70/206.36 | Equations (711) can reduce 714 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (714) ~ (all_0_19_19 = e4)
% 263.70/206.36 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (4311), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (927) all_0_19_19 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (927) can reduce 562 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (562) ~ (all_0_19_19 = e3)
% 263.70/206.36 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (4315), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (663) all_0_19_19 = e2
% 263.70/206.36 |
% 263.70/206.36 | Equations (663) can reduce 337 to:
% 263.70/206.36 | (666) ~ (all_0_18_18 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Equations (663) can reduce 280 to:
% 263.70/206.36 | (671) ~ (all_0_34_34 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 671 yields:
% 263.70/206.36 | (672) ~ (all_0_34_34 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Equations (663) can reduce 714 to:
% 263.70/206.36 | (444) ~ (e4 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 444 yields:
% 263.70/206.36 | (19) ~ (e4 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Equations (663) can reduce 720 to:
% 263.70/206.36 | (329) ~ (e2 = e1)
% 263.70/206.36 |
% 263.70/206.36 | Equations (663) can reduce 381 to:
% 263.70/206.36 | (347) ~ (e2 = e0)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (26), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (887) all_0_18_18 = e4
% 263.70/206.36 |
% 263.70/206.36 | Equations (887) can reduce 1046 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (1046) ~ (all_0_18_18 = e4)
% 263.70/206.36 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (261), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (1229) all_0_32_32 = e4
% 263.70/206.36 |
% 263.70/206.36 | Equations (1229) can reduce 727 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (727) ~ (all_0_32_32 = e4)
% 263.70/206.36 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (215), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (747) all_0_30_30 = e2
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (790,747) yields a new equation:
% 263.70/206.36 | (551) e2 = e0
% 263.70/206.36 |
% 263.70/206.36 | Equations (551) can reduce 347 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (740) ~ (all_0_30_30 = e2)
% 263.70/206.36 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 263.70/206.36 |
% 263.70/206.36 | Equations (790) can reduce 740 to:
% 263.70/206.36 | (393) ~ (e2 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 393 yields:
% 263.70/206.36 | (347) ~ (e2 = e0)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (1090), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (410) all_0_33_33 = e3
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (406,410) yields a new equation:
% 263.70/206.36 | (690) e4 = e3
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 690 yields:
% 263.70/206.36 | (691) e4 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (691) can reduce 277 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (403) ~ (all_0_33_33 = e3)
% 263.70/206.36 | (1027) all_0_34_34 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (1027) can reduce 188 to:
% 263.70/206.36 | (510) ~ (all_0_31_31 = e3)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1027) can reduce 199 to:
% 263.70/206.36 | (1089) ~ (all_0_32_32 = e3)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1027) can reduce 1395 to:
% 263.70/206.36 | (695) ~ (e4 = e3)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 695 yields:
% 263.70/206.36 | (277) ~ (e4 = e3)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1027) can reduce 672 to:
% 263.70/206.36 | (56) ~ (e3 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1027) can reduce 384 to:
% 263.70/206.36 | (88) ~ (e3 = e0)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (32), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (716) all_0_19_19 = e1
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (663,716) yields a new equation:
% 263.70/206.36 | (717) e2 = e1
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 717 yields:
% 263.70/206.36 | (718) e2 = e1
% 263.70/206.36 |
% 263.70/206.36 | Equations (718) can reduce 329 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (720) ~ (all_0_19_19 = e1)
% 263.70/206.36 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 263.70/206.36 |
% 263.70/206.36 | Equations (663) can reduce 720 to:
% 263.70/206.36 | (329) ~ (e2 = e1)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (168), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (2438) all_0_25_25 = e3
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (1158,2438) yields a new equation:
% 263.70/206.36 | (690) e4 = e3
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 690 yields:
% 263.70/206.36 | (691) e4 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (691) can reduce 277 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (566) ~ (all_0_25_25 = e3)
% 263.70/206.36 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (1158) can reduce 566 to:
% 263.70/206.36 | (277) ~ (e4 = e3)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (222), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (823) all_0_17_17 = e0
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (1970,823) yields a new equation:
% 263.70/206.36 | (979) e3 = e0
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 979 yields:
% 263.70/206.36 | (980) e3 = e0
% 263.70/206.36 |
% 263.70/206.36 | Equations (980) can reduce 88 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (2422) ~ (all_0_17_17 = e0)
% 263.70/206.36 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (309), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (1274) all_0_18_18 = e2
% 263.70/206.36 |
% 263.70/206.36 | Equations (1274) can reduce 666 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (666) ~ (all_0_18_18 = e2)
% 263.70/206.36 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (2515), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (847) all_0_22_22 = e0
% 263.70/206.36 |
% 263.70/206.36 | Equations (847) can reduce 774 to:
% 263.70/206.36 | (391) ~ (e3 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 391 yields:
% 263.70/206.36 | (88) ~ (e3 = e0)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (17), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (1498) all_0_17_17 = e1
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (1970,1498) yields a new equation:
% 263.70/206.36 | (933) e3 = e1
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 933 yields:
% 263.70/206.36 | (706) e3 = e1
% 263.70/206.36 |
% 263.70/206.36 | Equations (706) can reduce 318 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (1501) ~ (all_0_17_17 = e1)
% 263.70/206.36 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.70/206.36 |
% 263.70/206.36 | Equations (1970) can reduce 1501 to:
% 263.70/206.36 | (318) ~ (e3 = e1)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (750), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (751) all_0_31_31 = e2
% 263.70/206.36 |
% 263.70/206.36 | Equations (751) can reduce 145 to:
% 263.70/206.36 | (647) ~ (all_0_26_26 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Equations (751) can reduce 7 to:
% 263.70/206.36 | (755) ~ (all_0_36_36 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 755 yields:
% 263.70/206.36 | (756) ~ (all_0_36_36 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Equations (751) can reduce 584 to:
% 263.70/206.36 | (444) ~ (e4 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 444 yields:
% 263.70/206.36 | (19) ~ (e4 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Equations (751) can reduce 510 to:
% 263.70/206.36 | (658) ~ (e3 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 658 yields:
% 263.70/206.36 | (56) ~ (e3 = e2)
% 263.70/206.36 |
% 263.70/206.36 | Equations (751) can reduce 1064 to:
% 263.70/206.36 | (347) ~ (e2 = e0)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (308), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (1175) all_0_20_20 = e1
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (736,1175) yields a new equation:
% 263.70/206.36 | (717) e2 = e1
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 717 yields:
% 263.70/206.36 | (718) e2 = e1
% 263.70/206.36 |
% 263.70/206.36 | Equations (718) can reduce 329 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (1409) ~ (all_0_20_20 = e1)
% 263.70/206.36 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 263.70/206.36 |
% 263.70/206.36 | Equations (736) can reduce 1409 to:
% 263.70/206.36 | (329) ~ (e2 = e1)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (214), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (797) all_0_35_35 = e2
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (797,814) yields a new equation:
% 263.70/206.36 | (764) e3 = e2
% 263.70/206.36 |
% 263.70/206.36 | Equations (764) can reduce 56 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (742) ~ (all_0_35_35 = e2)
% 263.70/206.36 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (5570), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (1010) all_0_31_31 = e1
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (751,1010) yields a new equation:
% 263.70/206.36 | (717) e2 = e1
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 717 yields:
% 263.70/206.36 | (718) e2 = e1
% 263.70/206.36 |
% 263.70/206.36 | Equations (718) can reduce 329 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (423) ~ (all_0_31_31 = e1)
% 263.70/206.36 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (5940), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (1587) all_0_32_32 = e1
% 263.70/206.36 |
% 263.70/206.36 | Equations (1587) can reduce 727 to:
% 263.70/206.36 | (477) ~ (e4 = e1)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 477 yields:
% 263.70/206.36 | (65) ~ (e4 = e1)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1587) can reduce 1089 to:
% 263.70/206.36 | (429) ~ (e3 = e1)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 429 yields:
% 263.70/206.36 | (318) ~ (e3 = e1)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (1137), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (978) all_0_23_23 = e3
% 263.70/206.36 |
% 263.70/206.36 | Equations (978) can reduce 982 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (982) ~ (all_0_23_23 = e3)
% 263.70/206.36 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (2692), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (823) all_0_17_17 = e0
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (823,1970) yields a new equation:
% 263.70/206.36 | (980) e3 = e0
% 263.70/206.36 |
% 263.70/206.36 | Equations (980) can reduce 88 to:
% 263.70/206.36 | (366) $false
% 263.70/206.36 |
% 263.70/206.36 |-The branch is then unsatisfiable
% 263.70/206.36 |-Branch two:
% 263.70/206.36 | (2422) ~ (all_0_17_17 = e0)
% 263.70/206.36 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (2697), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (1153) all_0_18_18 = e0
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (1153,6638) yields a new equation:
% 263.70/206.36 | (6780) all_0_11_11 = e0
% 263.70/206.36 |
% 263.70/206.36 | Equations (1153) can reduce 300 to:
% 263.70/206.36 | (885) ~ (all_0_28_28 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 885 yields:
% 263.70/206.36 | (886) ~ (all_0_28_28 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1153) can reduce 142 to:
% 263.70/206.36 | (1285) ~ (all_0_38_38 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 1285 yields:
% 263.70/206.36 | (388) ~ (all_0_38_38 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1153) can reduce 1046 to:
% 263.70/206.36 | (389) ~ (e4 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 389 yields:
% 263.70/206.36 | (287) ~ (e4 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1153) can reduce 666 to:
% 263.70/206.36 | (393) ~ (e2 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 393 yields:
% 263.70/206.36 | (347) ~ (e2 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Equations (1153) can reduce 419 to:
% 263.70/206.36 | (395) ~ (e1 = e0)
% 263.70/206.36 |
% 263.70/206.36 | Simplifying 395 yields:
% 263.70/206.36 | (37) ~ (e1 = e0)
% 263.70/206.36 |
% 263.70/206.36 +-Applying beta-rule and splitting (721), into two cases.
% 263.70/206.36 |-Branch one:
% 263.70/206.36 | (940) all_0_24_24 = e1
% 263.70/206.36 |
% 263.70/206.36 | Combining equations (685,940) yields a new equation:
% 263.70/206.36 | (955) e4 = e1
% 263.70/206.36 |
% 263.70/206.37 | Simplifying 955 yields:
% 263.70/206.37 | (480) e4 = e1
% 263.70/206.37 |
% 263.70/206.37 | Equations (480) can reduce 65 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (943) ~ (all_0_24_24 = e1)
% 263.70/206.37 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (944), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (945) all_0_29_29 = e1
% 263.70/206.37 |
% 263.70/206.37 | Equations (945) can reduce 383 to:
% 263.70/206.37 | (37) ~ (e1 = e0)
% 263.70/206.37 |
% 263.70/206.37 | From (945) and (1837) follows:
% 263.70/206.37 | (1997) op(e4, e1) = e2
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (241), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (1921) all_0_25_25 = e0
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (1158,1921) yields a new equation:
% 263.70/206.37 | (842) e4 = e0
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 842 yields:
% 263.70/206.37 | (490) e4 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (490) can reduce 287 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (1925) ~ (all_0_25_25 = e0)
% 263.70/206.37 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (3084), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (896) all_0_28_28 = e3
% 263.70/206.37 |
% 263.70/206.37 | Equations (896) can reduce 886 to:
% 263.70/206.37 | (88) ~ (e3 = e0)
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (5472), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (6808) all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 263.70/206.37 |
% 263.70/206.37 | Applying alpha-rule on (6808) yields:
% 263.70/206.37 | (6638) all_0_11_11 = all_0_18_18
% 263.70/206.37 | (1156) ~ (all_0_18_18 = e0)
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (6638,6780) yields a new equation:
% 263.70/206.37 | (6811) all_0_18_18 = e0
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 6811 yields:
% 263.70/206.37 | (1153) all_0_18_18 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (1153) can reduce 1156 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (6814) all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_18_18, all_0_18_18) = all_0_10_10))
% 263.70/206.37 |
% 263.70/206.37 | Applying alpha-rule on (6814) yields:
% 263.70/206.37 | (6638) all_0_11_11 = all_0_18_18
% 263.70/206.37 | (6816) ( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_18_18, all_0_18_18) = all_0_10_10)
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (6638,6780) yields a new equation:
% 263.70/206.37 | (6811) all_0_18_18 = e0
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 6811 yields:
% 263.70/206.37 | (1153) all_0_18_18 = e0
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (1926), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (883) all_0_26_26 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (883) can reduce 647 to:
% 263.70/206.37 | (393) ~ (e2 = e0)
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 393 yields:
% 263.70/206.37 | (347) ~ (e2 = e0)
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (800), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (801) all_0_36_36 = e2
% 263.70/206.37 |
% 263.70/206.37 | Equations (801) can reduce 756 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (756) ~ (all_0_36_36 = e2)
% 263.70/206.37 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (804), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (805) all_0_37_37 = e2
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (1232,805) yields a new equation:
% 263.70/206.37 | (1111) e4 = e2
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 1111 yields:
% 263.70/206.37 | (539) e4 = e2
% 263.70/206.37 |
% 263.70/206.37 | Equations (539) can reduce 19 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (515) ~ (all_0_37_37 = e2)
% 263.70/206.37 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (808), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (809) all_0_38_38 = e2
% 263.70/206.37 |
% 263.70/206.37 | Equations (809) can reduce 388 to:
% 263.70/206.37 | (347) ~ (e2 = e0)
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (2245), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (1998) ~ (op(e4, e1) = e2)
% 263.70/206.37 |
% 263.70/206.37 | Using (1997) and (1998) yields:
% 263.70/206.37 | (821) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (1997) op(e4, e1) = e2
% 263.70/206.37 | (1274) all_0_18_18 = e2
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (1274,1153) yields a new equation:
% 263.70/206.37 | (836) e2 = e0
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 836 yields:
% 263.70/206.37 | (551) e2 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (551) can reduce 347 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (1084) ~ (all_0_38_38 = e2)
% 263.70/206.37 | (373) all_0_39_39 = e2
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (380,373) yields a new equation:
% 263.70/206.37 | (551) e2 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (551) can reduce 347 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (1058) ~ (all_0_26_26 = e0)
% 263.70/206.37 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (2527), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (546) all_0_27_27 = e0
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (443,546) yields a new equation:
% 263.70/206.37 | (836) e2 = e0
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 836 yields:
% 263.70/206.37 | (551) e2 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (551) can reduce 347 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (434) ~ (all_0_27_27 = e0)
% 263.70/206.37 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (2533), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (1044) all_0_28_28 = e0
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (896,1044) yields a new equation:
% 263.70/206.37 | (979) e3 = e0
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 979 yields:
% 263.70/206.37 | (980) e3 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (980) can reduce 88 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (886) ~ (all_0_28_28 = e0)
% 263.70/206.37 | (2537) all_0_29_29 = e0
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (2537,945) yields a new equation:
% 263.70/206.37 | (961) e1 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (961) can reduce 37 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (1035) ~ (all_0_28_28 = e3)
% 263.70/206.37 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (3089), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (410) all_0_33_33 = e3
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (410,406) yields a new equation:
% 263.70/206.37 | (691) e4 = e3
% 263.70/206.37 |
% 263.70/206.37 | Equations (691) can reduce 277 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (403) ~ (all_0_33_33 = e3)
% 263.70/206.37 | (1077) all_0_38_38 = e3
% 263.70/206.37 |
% 263.70/206.37 | Equations (1077) can reduce 1080 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (952) ~ (all_0_29_29 = e1)
% 263.70/206.37 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (953), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (954) all_0_34_34 = e1
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (954,1027) yields a new equation:
% 263.70/206.37 | (706) e3 = e1
% 263.70/206.37 |
% 263.70/206.37 | Equations (706) can reduce 318 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (426) ~ (all_0_34_34 = e1)
% 263.70/206.37 | (377) all_0_39_39 = e1
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (380,377) yields a new equation:
% 263.70/206.37 | (961) e1 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (961) can reduce 37 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (1156) ~ (all_0_18_18 = e0)
% 263.70/206.37 | (2703) all_0_19_19 = e0
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (663,2703) yields a new equation:
% 263.70/206.37 | (836) e2 = e0
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 836 yields:
% 263.70/206.37 | (551) e2 = e0
% 263.70/206.37 |
% 263.70/206.37 | Equations (551) can reduce 347 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (424) ~ (all_0_32_32 = e1)
% 263.70/206.37 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (5953), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (418) all_0_33_33 = e1
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (406,418) yields a new equation:
% 263.70/206.37 | (955) e4 = e1
% 263.70/206.37 |
% 263.70/206.37 | Simplifying 955 yields:
% 263.70/206.37 | (480) e4 = e1
% 263.70/206.37 |
% 263.70/206.37 | Equations (480) can reduce 65 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (507) ~ (all_0_33_33 = e1)
% 263.70/206.37 | (954) all_0_34_34 = e1
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (954,1027) yields a new equation:
% 263.70/206.37 | (706) e3 = e1
% 263.70/206.37 |
% 263.70/206.37 | Equations (706) can reduce 318 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (1099) ~ (all_0_31_31 = e2)
% 263.70/206.37 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 263.70/206.37 |
% 263.70/206.37 +-Applying beta-rule and splitting (340), into two cases.
% 263.70/206.37 |-Branch one:
% 263.70/206.37 | (697) all_0_16_16 = e2
% 263.70/206.37 |
% 263.70/206.37 | Combining equations (697,701) yields a new equation:
% 263.70/206.37 | (539) e4 = e2
% 263.70/206.37 |
% 263.70/206.37 | Equations (539) can reduce 19 to:
% 263.70/206.37 | (366) $false
% 263.70/206.37 |
% 263.70/206.37 |-The branch is then unsatisfiable
% 263.70/206.37 |-Branch two:
% 263.70/206.37 | (664) ~ (all_0_16_16 = e2)
% 263.70/206.37 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 263.70/206.37 |
% 263.70/206.38 +-Applying beta-rule and splitting (700), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (522) all_0_21_21 = e2
% 263.70/206.38 |
% 263.70/206.38 | Combining equations (522,453) yields a new equation:
% 263.70/206.38 | (764) e3 = e2
% 263.70/206.38 |
% 263.70/206.38 | Equations (764) can reduce 56 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (361) ~ (all_0_21_21 = e2)
% 263.70/206.38 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (2289), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (2380) all_0_26_26 = e2
% 263.70/206.38 |
% 263.70/206.38 | Equations (2380) can reduce 647 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (647) ~ (all_0_26_26 = e2)
% 263.70/206.38 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (2383), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (751) all_0_31_31 = e2
% 263.70/206.38 |
% 263.70/206.38 | Equations (751) can reduce 1099 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (1099) ~ (all_0_31_31 = e2)
% 263.70/206.38 | (801) all_0_36_36 = e2
% 263.70/206.38 |
% 263.70/206.38 | From (801) and (6558) follows:
% 263.70/206.38 | (813) op(e4, e2) = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (735), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (820) ~ (op(e4, e2) = e0)
% 263.70/206.38 |
% 263.70/206.38 | Using (813) and (820) yields:
% 263.70/206.38 | (821) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (813) op(e4, e2) = e0
% 263.70/206.38 | (823) all_0_17_17 = e0
% 263.70/206.38 |
% 263.70/206.38 | Combining equations (823,1970) yields a new equation:
% 263.70/206.38 | (980) e3 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (980) can reduce 88 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (826) ~ (all_0_22_22 = e0)
% 263.70/206.38 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (3101), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (546) all_0_27_27 = e0
% 263.70/206.38 |
% 263.70/206.38 | Combining equations (443,546) yields a new equation:
% 263.70/206.38 | (836) e2 = e0
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 836 yields:
% 263.70/206.38 | (551) e2 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (551) can reduce 347 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (434) ~ (all_0_27_27 = e0)
% 263.70/206.38 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (3107), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (1626) all_0_32_32 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (1626) can reduce 1946 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (1946) ~ (all_0_32_32 = e0)
% 263.70/206.38 | (3111) all_0_37_37 = e0
% 263.70/206.38 |
% 263.70/206.38 | Combining equations (1232,3111) yields a new equation:
% 263.70/206.38 | (842) e4 = e0
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 842 yields:
% 263.70/206.38 | (490) e4 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (490) can reduce 287 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (2785) ~ (all_0_19_19 = e2)
% 263.70/206.38 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (4319), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (716) all_0_19_19 = e1
% 263.70/206.38 |
% 263.70/206.38 | Equations (716) can reduce 720 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (720) ~ (all_0_19_19 = e1)
% 263.70/206.38 | (2703) all_0_19_19 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (2703) can reduce 381 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (1878) ~ (all_0_30_30 = e0)
% 263.70/206.38 | (1203) all_0_35_35 = e0
% 263.70/206.38 |
% 263.70/206.38 | Combining equations (814,1203) yields a new equation:
% 263.70/206.38 | (979) e3 = e0
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 979 yields:
% 263.70/206.38 | (980) e3 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (980) can reduce 88 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (6947) all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10))
% 263.70/206.38 |
% 263.70/206.38 | Applying alpha-rule on (6947) yields:
% 263.70/206.38 | (6638) all_0_11_11 = all_0_18_18
% 263.70/206.38 | (6949) ( ~ (all_0_9_9 = e0) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (771), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (759) all_0_30_30 = e3
% 263.70/206.38 |
% 263.70/206.38 | Equations (759) can reduce 568 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (568) ~ (all_0_30_30 = e3)
% 263.70/206.38 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (782), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (747) all_0_30_30 = e2
% 263.70/206.38 |
% 263.70/206.38 | Equations (747) can reduce 740 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (740) ~ (all_0_30_30 = e2)
% 263.70/206.38 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (269), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (1134) all_0_18_18 = e3
% 263.70/206.38 |
% 263.70/206.38 | Equations (1134) can reduce 560 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (560) ~ (all_0_18_18 = e3)
% 263.70/206.38 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (1938), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (790) all_0_30_30 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (790) can reduce 568 to:
% 263.70/206.38 | (391) ~ (e3 = e0)
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 391 yields:
% 263.70/206.38 | (88) ~ (e3 = e0)
% 263.70/206.38 |
% 263.70/206.38 | Equations (790) can reduce 740 to:
% 263.70/206.38 | (393) ~ (e2 = e0)
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 393 yields:
% 263.70/206.38 | (347) ~ (e2 = e0)
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (1137), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (978) all_0_23_23 = e3
% 263.70/206.38 |
% 263.70/206.38 | Equations (978) can reduce 982 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (982) ~ (all_0_23_23 = e3)
% 263.70/206.38 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (3084), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (896) all_0_28_28 = e3
% 263.70/206.38 |
% 263.70/206.38 | Equations (896) can reduce 300 to:
% 263.70/206.38 | (560) ~ (all_0_18_18 = e3)
% 263.70/206.38 |
% 263.70/206.38 | Equations (896) can reduce 73 to:
% 263.70/206.38 | (897) ~ (all_0_29_29 = e3)
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 897 yields:
% 263.70/206.38 | (898) ~ (all_0_29_29 = e3)
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (357), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (1250) all_0_29_29 = e4
% 263.70/206.38 |
% 263.70/206.38 | Equations (1250) can reduce 724 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (724) ~ (all_0_29_29 = e4)
% 263.70/206.38 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (222), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (823) all_0_17_17 = e0
% 263.70/206.38 |
% 263.70/206.38 | Combining equations (1970,823) yields a new equation:
% 263.70/206.38 | (979) e3 = e0
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 979 yields:
% 263.70/206.38 | (980) e3 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (980) can reduce 88 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (2422) ~ (all_0_17_17 = e0)
% 263.70/206.38 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 263.70/206.38 |
% 263.70/206.38 | Equations (1970) can reduce 2422 to:
% 263.70/206.38 | (88) ~ (e3 = e0)
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (2812), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (1023) all_0_29_29 = e3
% 263.70/206.38 |
% 263.70/206.38 | Equations (1023) can reduce 898 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (898) ~ (all_0_29_29 = e3)
% 263.70/206.38 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (5409), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (4103) all_0_29_29 = e2
% 263.70/206.38 |
% 263.70/206.38 | Equations (4103) can reduce 651 to:
% 263.70/206.38 | (366) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (651) ~ (all_0_29_29 = e2)
% 263.70/206.38 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (5413), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (945) all_0_29_29 = e1
% 263.70/206.38 |
% 263.70/206.38 | From (945) and (1837) follows:
% 263.70/206.38 | (1997) op(e4, e1) = e2
% 263.70/206.38 |
% 263.70/206.38 +-Applying beta-rule and splitting (2245), into two cases.
% 263.70/206.38 |-Branch one:
% 263.70/206.38 | (1998) ~ (op(e4, e1) = e2)
% 263.70/206.38 |
% 263.70/206.38 | Using (1997) and (1998) yields:
% 263.70/206.38 | (821) $false
% 263.70/206.38 |
% 263.70/206.38 |-The branch is then unsatisfiable
% 263.70/206.38 |-Branch two:
% 263.70/206.38 | (1997) op(e4, e1) = e2
% 263.70/206.38 | (1274) all_0_18_18 = e2
% 263.70/206.38 |
% 263.70/206.38 | Combining equations (1274,6638) yields a new equation:
% 263.70/206.38 | (7000) all_0_11_11 = e2
% 263.70/206.38 |
% 263.70/206.38 | Equations (1274) can reduce 142 to:
% 263.70/206.38 | (1130) ~ (all_0_38_38 = e2)
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 1130 yields:
% 263.70/206.38 | (1084) ~ (all_0_38_38 = e2)
% 263.70/206.38 |
% 263.70/206.38 | Equations (1274) can reduce 1046 to:
% 263.70/206.38 | (444) ~ (e4 = e2)
% 263.70/206.38 |
% 263.70/206.38 | Simplifying 444 yields:
% 263.70/206.38 | (19) ~ (e4 = e2)
% 263.70/206.38 |
% 263.70/206.38 | Equations (1274) can reduce 560 to:
% 263.70/206.38 | (658) ~ (e3 = e2)
% 263.70/206.38 |
% 263.70/206.39 | Simplifying 658 yields:
% 263.70/206.39 | (56) ~ (e3 = e2)
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (5533), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (7007) all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 263.70/206.39 |
% 263.70/206.39 | Applying alpha-rule on (7007) yields:
% 263.70/206.39 | (6638) all_0_11_11 = all_0_18_18
% 263.70/206.39 | (666) ~ (all_0_18_18 = e2)
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (6638,7000) yields a new equation:
% 263.70/206.39 | (7010) all_0_18_18 = e2
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 7010 yields:
% 263.70/206.39 | (1274) all_0_18_18 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (1274) can reduce 666 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (7013) all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10))
% 263.70/206.39 |
% 263.70/206.39 | Applying alpha-rule on (7013) yields:
% 263.70/206.39 | (6638) all_0_11_11 = all_0_18_18
% 263.70/206.39 | (7015) ( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (6638,7000) yields a new equation:
% 263.70/206.39 | (7010) all_0_18_18 = e2
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 7010 yields:
% 263.70/206.39 | (1274) all_0_18_18 = e2
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (214), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (797) all_0_35_35 = e2
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (814,797) yields a new equation:
% 263.70/206.39 | (3874) e3 = e2
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 3874 yields:
% 263.70/206.39 | (764) e3 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (764) can reduce 56 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (742) ~ (all_0_35_35 = e2)
% 263.70/206.39 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (800), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (801) all_0_36_36 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (801) can reduce 386 to:
% 263.70/206.39 | (347) ~ (e2 = e0)
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (185), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (1153) all_0_18_18 = e0
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (1274,1153) yields a new equation:
% 263.70/206.39 | (836) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 836 yields:
% 263.70/206.39 | (551) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (551) can reduce 347 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (1156) ~ (all_0_18_18 = e0)
% 263.70/206.39 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (1274) can reduce 1156 to:
% 263.70/206.39 | (347) ~ (e2 = e0)
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (215), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (747) all_0_30_30 = e2
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (790,747) yields a new equation:
% 263.70/206.39 | (551) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (551) can reduce 347 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (740) ~ (all_0_30_30 = e2)
% 263.70/206.39 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (790) can reduce 740 to:
% 263.70/206.39 | (393) ~ (e2 = e0)
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 393 yields:
% 263.70/206.39 | (347) ~ (e2 = e0)
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (2692), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (823) all_0_17_17 = e0
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (823,1970) yields a new equation:
% 263.70/206.39 | (980) e3 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (980) can reduce 88 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (2422) ~ (all_0_17_17 = e0)
% 263.70/206.39 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (2697), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (1153) all_0_18_18 = e0
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (1274,1153) yields a new equation:
% 263.70/206.39 | (836) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 836 yields:
% 263.70/206.39 | (551) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (551) can reduce 347 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (1156) ~ (all_0_18_18 = e0)
% 263.70/206.39 | (2703) all_0_19_19 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (2703) can reduce 381 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (756) ~ (all_0_36_36 = e2)
% 263.70/206.39 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (185), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (1153) all_0_18_18 = e0
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (1274,1153) yields a new equation:
% 263.70/206.39 | (836) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 836 yields:
% 263.70/206.39 | (551) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (551) can reduce 347 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (1156) ~ (all_0_18_18 = e0)
% 263.70/206.39 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (1274) can reduce 1156 to:
% 263.70/206.39 | (347) ~ (e2 = e0)
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (340), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (697) all_0_16_16 = e2
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (697,701) yields a new equation:
% 263.70/206.39 | (539) e4 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (539) can reduce 19 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (664) ~ (all_0_16_16 = e2)
% 263.70/206.39 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (701) can reduce 664 to:
% 263.70/206.39 | (19) ~ (e4 = e2)
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (804), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (805) all_0_37_37 = e2
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (805,1232) yields a new equation:
% 263.70/206.39 | (539) e4 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (539) can reduce 19 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (515) ~ (all_0_37_37 = e2)
% 263.70/206.39 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (808), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (809) all_0_38_38 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (809) can reduce 1084 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (1084) ~ (all_0_38_38 = e2)
% 263.70/206.39 | (373) all_0_39_39 = e2
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (373,380) yields a new equation:
% 263.70/206.39 | (836) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 836 yields:
% 263.70/206.39 | (551) e2 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (551) can reduce 347 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (952) ~ (all_0_29_29 = e1)
% 263.70/206.39 | (2537) all_0_29_29 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (2537) can reduce 383 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (1035) ~ (all_0_28_28 = e3)
% 263.70/206.39 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (3089), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (410) all_0_33_33 = e3
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (406,410) yields a new equation:
% 263.70/206.39 | (690) e4 = e3
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 690 yields:
% 263.70/206.39 | (691) e4 = e3
% 263.70/206.39 |
% 263.70/206.39 | Equations (691) can reduce 277 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (403) ~ (all_0_33_33 = e3)
% 263.70/206.39 | (1077) all_0_38_38 = e3
% 263.70/206.39 |
% 263.70/206.39 | Equations (1077) can reduce 1080 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (1878) ~ (all_0_30_30 = e0)
% 263.70/206.39 | (1203) all_0_35_35 = e0
% 263.70/206.39 |
% 263.70/206.39 | Combining equations (814,1203) yields a new equation:
% 263.70/206.39 | (979) e3 = e0
% 263.70/206.39 |
% 263.70/206.39 | Simplifying 979 yields:
% 263.70/206.39 | (980) e3 = e0
% 263.70/206.39 |
% 263.70/206.39 | Equations (980) can reduce 88 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (570) ~ (all_0_35_35 = e3)
% 263.70/206.39 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (1185), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (797) all_0_35_35 = e2
% 263.70/206.39 |
% 263.70/206.39 | Equations (797) can reduce 742 to:
% 263.70/206.39 | (366) $false
% 263.70/206.39 |
% 263.70/206.39 |-The branch is then unsatisfiable
% 263.70/206.39 |-Branch two:
% 263.70/206.39 | (742) ~ (all_0_35_35 = e2)
% 263.70/206.39 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 263.70/206.39 |
% 263.70/206.39 +-Applying beta-rule and splitting (1195), into two cases.
% 263.70/206.39 |-Branch one:
% 263.70/206.39 | (1196) all_0_35_35 = e1
% 263.70/206.39 |
% 263.70/206.40 | Equations (1196) can reduce 1177 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (1177) ~ (all_0_35_35 = e1)
% 263.70/206.40 | (1203) all_0_35_35 = e0
% 263.70/206.40 |
% 263.70/206.40 | Equations (1203) can reduce 385 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (1114) ~ (all_0_20_20 = e2)
% 263.70/206.40 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (231), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (1453) all_0_20_20 = e4
% 263.70/206.40 |
% 263.70/206.40 | Equations (1453) can reduce 496 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (496) ~ (all_0_20_20 = e4)
% 263.70/206.40 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (2301), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (903) all_0_20_20 = e3
% 263.70/206.40 |
% 263.70/206.40 | Equations (903) can reduce 564 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (564) ~ (all_0_20_20 = e3)
% 263.70/206.40 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (2305), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (736) all_0_20_20 = e2
% 263.70/206.40 |
% 263.70/206.40 | Equations (736) can reduce 1114 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (1114) ~ (all_0_20_20 = e2)
% 263.70/206.40 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (308), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (1175) all_0_20_20 = e1
% 263.70/206.40 |
% 263.70/206.40 | Equations (1175) can reduce 1409 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (1409) ~ (all_0_20_20 = e1)
% 263.70/206.40 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (2309), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (1175) all_0_20_20 = e1
% 263.70/206.40 |
% 263.70/206.40 | Equations (1175) can reduce 1409 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (1409) ~ (all_0_20_20 = e1)
% 263.70/206.40 | (835) all_0_20_20 = e0
% 263.70/206.40 |
% 263.70/206.40 | Equations (835) can reduce 116 to:
% 263.70/206.40 | (5613) ~ (all_0_30_30 = e0)
% 263.70/206.40 |
% 263.70/206.40 | Simplifying 5613 yields:
% 263.70/206.40 | (1878) ~ (all_0_30_30 = e0)
% 263.70/206.40 |
% 263.70/206.40 | From (835) and (6524) follows:
% 263.70/206.40 | (7131) op(e4, e0) = e3
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (6529), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (7132) ~ (op(e4, e0) = e3)
% 263.70/206.40 |
% 263.70/206.40 | Using (7131) and (7132) yields:
% 263.70/206.40 | (821) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (7131) op(e4, e0) = e3
% 263.70/206.40 | (927) all_0_19_19 = e3
% 263.70/206.40 |
% 263.70/206.40 | Equations (927) can reduce 229 to:
% 263.70/206.40 | (897) ~ (all_0_29_29 = e3)
% 263.70/206.40 |
% 263.70/206.40 | Simplifying 897 yields:
% 263.70/206.40 | (898) ~ (all_0_29_29 = e3)
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (357), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (1250) all_0_29_29 = e4
% 263.70/206.40 |
% 263.70/206.40 | Equations (1250) can reduce 724 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (724) ~ (all_0_29_29 = e4)
% 263.70/206.40 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (2812), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (1023) all_0_29_29 = e3
% 263.70/206.40 |
% 263.70/206.40 | Equations (1023) can reduce 898 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (898) ~ (all_0_29_29 = e3)
% 263.70/206.40 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (5409), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (4103) all_0_29_29 = e2
% 263.70/206.40 |
% 263.70/206.40 | Equations (4103) can reduce 651 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (651) ~ (all_0_29_29 = e2)
% 263.70/206.40 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (5413), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (945) all_0_29_29 = e1
% 263.70/206.40 |
% 263.70/206.40 | From (945) and (6564) follows:
% 263.70/206.40 | (4831) op(e1, e4) = e0
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (4342), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (4891) ~ (op(e1, e4) = e0)
% 263.70/206.40 |
% 263.70/206.40 | Using (4831) and (4891) yields:
% 263.70/206.40 | (821) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (4831) op(e1, e4) = e0
% 263.70/206.40 | (790) all_0_30_30 = e0
% 263.70/206.40 |
% 263.70/206.40 | Equations (790) can reduce 1878 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (952) ~ (all_0_29_29 = e1)
% 263.70/206.40 | (2537) all_0_29_29 = e0
% 263.70/206.40 |
% 263.70/206.40 | Equations (2537) can reduce 383 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (2658) ~ (all_0_37_37 = e4)
% 263.70/206.40 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (2659), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (1165) all_0_38_38 = e4
% 263.70/206.40 |
% 263.70/206.40 | Equations (1165) can reduce 1143 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (1143) ~ (all_0_38_38 = e4)
% 263.70/206.40 | (365) all_0_39_39 = e4
% 263.70/206.40 |
% 263.70/206.40 | Combining equations (365,380) yields a new equation:
% 263.70/206.40 | (842) e4 = e0
% 263.70/206.40 |
% 263.70/206.40 | Simplifying 842 yields:
% 263.70/206.40 | (490) e4 = e0
% 263.70/206.40 |
% 263.70/206.40 | Equations (490) can reduce 287 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (580) ~ (all_0_24_24 = e4)
% 263.70/206.40 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (2633), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (1232) all_0_37_37 = e4
% 263.70/206.40 |
% 263.70/206.40 | Equations (1232) can reduce 387 to:
% 263.70/206.40 | (287) ~ (e4 = e0)
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (1400), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (1250) all_0_29_29 = e4
% 263.70/206.40 |
% 263.70/206.40 | Equations (1250) can reduce 724 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (724) ~ (all_0_29_29 = e4)
% 263.70/206.40 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 263.70/206.40 |
% 263.70/206.40 +-Applying beta-rule and splitting (1735), into two cases.
% 263.70/206.40 |-Branch one:
% 263.70/206.40 | (723) all_0_34_34 = e4
% 263.70/206.40 |
% 263.70/206.40 | Equations (723) can reduce 1395 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (1395) ~ (all_0_34_34 = e4)
% 263.70/206.40 | (365) all_0_39_39 = e4
% 263.70/206.40 |
% 263.70/206.40 | Combining equations (365,380) yields a new equation:
% 263.70/206.40 | (842) e4 = e0
% 263.70/206.40 |
% 263.70/206.40 | Simplifying 842 yields:
% 263.70/206.40 | (490) e4 = e0
% 263.70/206.40 |
% 263.70/206.40 | Equations (490) can reduce 287 to:
% 263.70/206.40 | (366) $false
% 263.70/206.40 |
% 263.70/206.40 |-The branch is then unsatisfiable
% 263.70/206.40 |-Branch two:
% 263.70/206.40 | (2658) ~ (all_0_37_37 = e4)
% 263.70/206.40 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 263.70/206.40 |
% 263.87/206.40 +-Applying beta-rule and splitting (2659), into two cases.
% 263.87/206.40 |-Branch one:
% 263.87/206.40 | (1165) all_0_38_38 = e4
% 263.87/206.40 |
% 263.87/206.40 | Equations (1165) can reduce 1143 to:
% 263.87/206.40 | (366) $false
% 263.87/206.40 |
% 263.87/206.40 |-The branch is then unsatisfiable
% 263.87/206.40 |-Branch two:
% 263.87/206.41 | (1143) ~ (all_0_38_38 = e4)
% 263.87/206.41 | (365) all_0_39_39 = e4
% 263.87/206.41 |
% 263.87/206.41 | Combining equations (380,365) yields a new equation:
% 263.87/206.41 | (490) e4 = e0
% 263.87/206.41 |
% 263.87/206.41 | Equations (490) can reduce 287 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (501) ~ (all_0_25_25 = e4)
% 263.87/206.41 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (1217), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (1237) all_0_26_26 = e4
% 263.87/206.41 |
% 263.87/206.41 | Equations (1237) can reduce 582 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (582) ~ (all_0_26_26 = e4)
% 263.87/206.41 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (1240), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (435) all_0_27_27 = e4
% 263.87/206.41 |
% 263.87/206.41 | Combining equations (443,435) yields a new equation:
% 263.87/206.41 | (539) e4 = e2
% 263.87/206.41 |
% 263.87/206.41 | Equations (539) can reduce 19 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (404) ~ (all_0_27_27 = e4)
% 263.87/206.41 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (1245), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (892) all_0_28_28 = e4
% 263.87/206.41 |
% 263.87/206.41 | Equations (892) can reduce 890 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (890) ~ (all_0_28_28 = e4)
% 263.87/206.41 | (1250) all_0_29_29 = e4
% 263.87/206.41 |
% 263.87/206.41 | Equations (1250) can reduce 85 to:
% 263.87/206.41 | (580) ~ (all_0_24_24 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Equations (1250) can reduce 73 to:
% 263.87/206.41 | (890) ~ (all_0_28_28 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Equations (1250) can reduce 383 to:
% 263.87/206.41 | (287) ~ (e4 = e0)
% 263.87/206.41 |
% 263.87/206.41 | From (1250) and (348) follows:
% 263.87/206.41 | (4364) op(e4, all_0_37_37) = e0
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (256), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (1453) all_0_20_20 = e4
% 263.87/206.41 |
% 263.87/206.41 | From (1453) and (6524) follows:
% 263.87/206.41 | (533) op(e4, e4) = e3
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (6527), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (7213) ~ (op(e4, e4) = e3)
% 263.87/206.41 |
% 263.87/206.41 | Using (533) and (7213) yields:
% 263.87/206.41 | (821) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (533) op(e4, e4) = e3
% 263.87/206.41 | (706) e3 = e1
% 263.87/206.41 |
% 263.87/206.41 | Equations (706) can reduce 318 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (496) ~ (all_0_20_20 = e4)
% 263.87/206.41 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (7219), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (449) all_0_21_21 = e4
% 263.87/206.41 |
% 263.87/206.41 | Combining equations (453,449) yields a new equation:
% 263.87/206.41 | (691) e4 = e3
% 263.87/206.41 |
% 263.87/206.41 | Equations (691) can reduce 277 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (448) ~ (all_0_21_21 = e4)
% 263.87/206.41 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (7224), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (831) all_0_22_22 = e4
% 263.87/206.41 |
% 263.87/206.41 | Equations (831) can reduce 346 to:
% 263.87/206.41 | (577) ~ (all_0_23_23 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 577 yields:
% 263.87/206.41 | (578) ~ (all_0_23_23 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Equations (831) can reduce 202 to:
% 263.87/206.41 | (3299) ~ (all_0_37_37 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 3299 yields:
% 263.87/206.41 | (2658) ~ (all_0_37_37 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Equations (831) can reduce 493 to:
% 263.87/206.41 | (19) ~ (e4 = e2)
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (165), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (1161) all_0_35_35 = e4
% 263.87/206.41 |
% 263.87/206.41 | Equations (1161) can reduce 249 to:
% 263.87/206.41 | (496) ~ (all_0_20_20 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Equations (1161) can reduce 98 to:
% 263.87/206.41 | (501) ~ (all_0_25_25 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Equations (1161) can reduce 121 to:
% 263.87/206.41 | (3299) ~ (all_0_37_37 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 3299 yields:
% 263.87/206.41 | (2658) ~ (all_0_37_37 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Equations (1161) can reduce 173 to:
% 263.87/206.41 | (1142) ~ (all_0_38_38 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 1142 yields:
% 263.87/206.41 | (1143) ~ (all_0_38_38 = e4)
% 263.87/206.41 |
% 263.87/206.41 | Instantiating formula (97) with e4, all_0_37_37, e2, e0 and discharging atoms op(e4, all_0_37_37) = e0, yields:
% 263.87/206.41 | (7238) e2 = e0 | ~ (op(e4, all_0_37_37) = e2)
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (308), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (1175) all_0_20_20 = e1
% 263.87/206.41 |
% 263.87/206.41 | Equations (1175) can reduce 1409 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (1409) ~ (all_0_20_20 = e1)
% 263.87/206.41 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (245), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (1158) all_0_25_25 = e4
% 263.87/206.41 |
% 263.87/206.41 | Equations (1158) can reduce 501 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (501) ~ (all_0_25_25 = e4)
% 263.87/206.41 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (135), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (835) all_0_20_20 = e0
% 263.87/206.41 |
% 263.87/206.41 | Equations (835) can reduce 272 to:
% 263.87/206.41 | (7248) ~ (all_0_23_23 = e0)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 7248 yields:
% 263.87/206.41 | (1068) ~ (all_0_23_23 = e0)
% 263.87/206.41 |
% 263.87/206.41 | From (835) and (6524) follows:
% 263.87/206.41 | (7131) op(e4, e0) = e3
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (162), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (472) all_0_15_15 = e2
% 263.87/206.41 |
% 263.87/206.41 | Combining equations (472,476) yields a new equation:
% 263.87/206.41 | (717) e2 = e1
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 717 yields:
% 263.87/206.41 | (718) e2 = e1
% 263.87/206.41 |
% 263.87/206.41 | Equations (718) can reduce 329 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (447) ~ (all_0_15_15 = e2)
% 263.87/206.41 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 263.87/206.41 |
% 263.87/206.41 | Equations (476) can reduce 447 to:
% 263.87/206.41 | (1002) ~ (e2 = e1)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 1002 yields:
% 263.87/206.41 | (329) ~ (e2 = e1)
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (6529), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (7132) ~ (op(e4, e0) = e3)
% 263.87/206.41 |
% 263.87/206.41 | Using (7131) and (7132) yields:
% 263.87/206.41 | (821) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (7131) op(e4, e0) = e3
% 263.87/206.41 | (927) all_0_19_19 = e3
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (114), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (472) all_0_15_15 = e2
% 263.87/206.41 |
% 263.87/206.41 | Combining equations (472,476) yields a new equation:
% 263.87/206.41 | (717) e2 = e1
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 717 yields:
% 263.87/206.41 | (718) e2 = e1
% 263.87/206.41 |
% 263.87/206.41 | Equations (718) can reduce 329 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (447) ~ (all_0_15_15 = e2)
% 263.87/206.41 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (2791), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (697) all_0_16_16 = e2
% 263.87/206.41 |
% 263.87/206.41 | Combining equations (697,701) yields a new equation:
% 263.87/206.41 | (539) e4 = e2
% 263.87/206.41 |
% 263.87/206.41 | Equations (539) can reduce 19 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (664) ~ (all_0_16_16 = e2)
% 263.87/206.41 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (2933), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (1980) all_0_17_17 = e2
% 263.87/206.41 |
% 263.87/206.41 | Equations (1980) can reduce 459 to:
% 263.87/206.41 | (366) $false
% 263.87/206.41 |
% 263.87/206.41 |-The branch is then unsatisfiable
% 263.87/206.41 |-Branch two:
% 263.87/206.41 | (459) ~ (all_0_17_17 = e2)
% 263.87/206.41 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (2937), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.41 | (1274) all_0_18_18 = e2
% 263.87/206.41 |
% 263.87/206.41 | Equations (1274) can reduce 110 to:
% 263.87/206.41 | (7279) ~ (all_0_23_23 = e2)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 7279 yields:
% 263.87/206.41 | (810) ~ (all_0_23_23 = e2)
% 263.87/206.41 |
% 263.87/206.41 | Equations (1274) can reduce 300 to:
% 263.87/206.41 | (648) ~ (all_0_28_28 = e2)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 648 yields:
% 263.87/206.41 | (649) ~ (all_0_28_28 = e2)
% 263.87/206.41 |
% 263.87/206.41 | Equations (1274) can reduce 142 to:
% 263.87/206.41 | (1130) ~ (all_0_38_38 = e2)
% 263.87/206.41 |
% 263.87/206.41 | Simplifying 1130 yields:
% 263.87/206.41 | (1084) ~ (all_0_38_38 = e2)
% 263.87/206.41 |
% 263.87/206.41 | From (1274) and (61) follows:
% 263.87/206.41 | (1997) op(e4, e1) = e2
% 263.87/206.41 |
% 263.87/206.41 +-Applying beta-rule and splitting (137), into two cases.
% 263.87/206.41 |-Branch one:
% 263.87/206.42 | (1515) all_0_23_23 = e4
% 263.87/206.42 |
% 263.87/206.42 | Equations (1515) can reduce 578 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (578) ~ (all_0_23_23 = e4)
% 263.87/206.42 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (51), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (736) all_0_20_20 = e2
% 263.87/206.42 |
% 263.87/206.42 | Combining equations (835,736) yields a new equation:
% 263.87/206.42 | (551) e2 = e0
% 263.87/206.42 |
% 263.87/206.42 | Equations (551) can reduce 347 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (1114) ~ (all_0_20_20 = e2)
% 263.87/206.42 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 263.87/206.42 |
% 263.87/206.42 | Equations (835) can reduce 1114 to:
% 263.87/206.42 | (393) ~ (e2 = e0)
% 263.87/206.42 |
% 263.87/206.42 | Simplifying 393 yields:
% 263.87/206.42 | (347) ~ (e2 = e0)
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (185), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1153) all_0_18_18 = e0
% 263.87/206.42 |
% 263.87/206.42 | Combining equations (1153,1274) yields a new equation:
% 263.87/206.42 | (551) e2 = e0
% 263.87/206.42 |
% 263.87/206.42 | Equations (551) can reduce 347 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (1156) ~ (all_0_18_18 = e0)
% 263.87/206.42 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (1157), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (851) all_0_23_23 = e0
% 263.87/206.42 |
% 263.87/206.42 | Equations (851) can reduce 1068 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (1068) ~ (all_0_23_23 = e0)
% 263.87/206.42 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (3943), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (978) all_0_23_23 = e3
% 263.87/206.42 |
% 263.87/206.42 | Equations (978) can reduce 982 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (982) ~ (all_0_23_23 = e3)
% 263.87/206.42 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (3947), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1126) all_0_23_23 = e2
% 263.87/206.42 |
% 263.87/206.42 | Equations (1126) can reduce 810 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (810) ~ (all_0_23_23 = e2)
% 263.87/206.42 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (3951), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (3952) all_0_23_23 = e1
% 263.87/206.42 |
% 263.87/206.42 | Equations (3952) can reduce 86 to:
% 263.87/206.42 | (4011) ~ (all_0_28_28 = e1)
% 263.87/206.42 |
% 263.87/206.42 | Simplifying 4011 yields:
% 263.87/206.42 | (421) ~ (all_0_28_28 = e1)
% 263.87/206.42 |
% 263.87/206.42 | Equations (3952) can reduce 39 to:
% 263.87/206.42 | (427) ~ (all_0_38_38 = e1)
% 263.87/206.42 |
% 263.87/206.42 | Simplifying 427 yields:
% 263.87/206.42 | (428) ~ (all_0_38_38 = e1)
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (358), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1165) all_0_38_38 = e4
% 263.87/206.42 |
% 263.87/206.42 | Equations (1165) can reduce 1143 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (1143) ~ (all_0_38_38 = e4)
% 263.87/206.42 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (1168), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1077) all_0_38_38 = e3
% 263.87/206.42 |
% 263.87/206.42 | Equations (1077) can reduce 198 to:
% 263.87/206.42 | (1035) ~ (all_0_28_28 = e3)
% 263.87/206.42 |
% 263.87/206.42 | Equations (1077) can reduce 354 to:
% 263.87/206.42 | (777) ~ (all_0_37_37 = e3)
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (271), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1232) all_0_37_37 = e4
% 263.87/206.42 |
% 263.87/206.42 | Equations (1232) can reduce 2658 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (2658) ~ (all_0_37_37 = e4)
% 263.87/206.42 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (338), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (892) all_0_28_28 = e4
% 263.87/206.42 |
% 263.87/206.42 | Equations (892) can reduce 890 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (890) ~ (all_0_28_28 = e4)
% 263.87/206.42 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (3872), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1073) all_0_37_37 = e3
% 263.87/206.42 |
% 263.87/206.42 | Equations (1073) can reduce 777 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (777) ~ (all_0_37_37 = e3)
% 263.87/206.42 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (895), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (896) all_0_28_28 = e3
% 263.87/206.42 |
% 263.87/206.42 | Equations (896) can reduce 1035 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (1035) ~ (all_0_28_28 = e3)
% 263.87/206.42 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (3886), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (805) all_0_37_37 = e2
% 263.87/206.42 |
% 263.87/206.42 | Equations (805) can reduce 515 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (515) ~ (all_0_37_37 = e2)
% 263.87/206.42 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (3890), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1590) all_0_37_37 = e1
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (1036), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1037) all_0_28_28 = e2
% 263.87/206.42 |
% 263.87/206.42 | Equations (1037) can reduce 649 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (649) ~ (all_0_28_28 = e2)
% 263.87/206.42 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (1040), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1041) all_0_28_28 = e1
% 263.87/206.42 |
% 263.87/206.42 | Equations (1041) can reduce 421 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (421) ~ (all_0_28_28 = e1)
% 263.87/206.42 | (1044) all_0_28_28 = e0
% 263.87/206.42 |
% 263.87/206.42 | Equations (1044) can reduce 649 to:
% 263.87/206.42 | (393) ~ (e2 = e0)
% 263.87/206.42 |
% 263.87/206.42 | Simplifying 393 yields:
% 263.87/206.42 | (347) ~ (e2 = e0)
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (7238), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (7357) ~ (op(e4, all_0_37_37) = e2)
% 263.87/206.42 |
% 263.87/206.42 | From (1590) and (7357) follows:
% 263.87/206.42 | (1998) ~ (op(e4, e1) = e2)
% 263.87/206.42 |
% 263.87/206.42 | Using (1997) and (1998) yields:
% 263.87/206.42 | (821) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (7360) op(e4, all_0_37_37) = e2
% 263.87/206.42 | (551) e2 = e0
% 263.87/206.42 |
% 263.87/206.42 | Equations (551) can reduce 347 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (2562) ~ (all_0_37_37 = e1)
% 263.87/206.42 | (3111) all_0_37_37 = e0
% 263.87/206.42 |
% 263.87/206.42 | Equations (3111) can reduce 387 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (1080) ~ (all_0_38_38 = e3)
% 263.87/206.42 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (1206), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (809) all_0_38_38 = e2
% 263.87/206.42 |
% 263.87/206.42 | Equations (809) can reduce 1084 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (1084) ~ (all_0_38_38 = e2)
% 263.87/206.42 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (1210), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1211) all_0_38_38 = e1
% 263.87/206.42 |
% 263.87/206.42 | Equations (1211) can reduce 428 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (428) ~ (all_0_38_38 = e1)
% 263.87/206.42 | (1214) all_0_38_38 = e0
% 263.87/206.42 |
% 263.87/206.42 | Equations (1214) can reduce 388 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (420) ~ (all_0_23_23 = e1)
% 263.87/206.42 | (851) all_0_23_23 = e0
% 263.87/206.42 |
% 263.87/206.42 | Equations (851) can reduce 1068 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (666) ~ (all_0_18_18 = e2)
% 263.87/206.42 | (663) all_0_19_19 = e2
% 263.87/206.42 |
% 263.87/206.42 | Combining equations (663,927) yields a new equation:
% 263.87/206.42 | (764) e3 = e2
% 263.87/206.42 |
% 263.87/206.42 | Equations (764) can reduce 56 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (839) ~ (all_0_20_20 = e0)
% 263.87/206.42 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (231), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (1453) all_0_20_20 = e4
% 263.87/206.42 |
% 263.87/206.42 | Equations (1453) can reduce 496 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (496) ~ (all_0_20_20 = e4)
% 263.87/206.42 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (2301), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (903) all_0_20_20 = e3
% 263.87/206.42 |
% 263.87/206.42 | Equations (903) can reduce 564 to:
% 263.87/206.42 | (366) $false
% 263.87/206.42 |
% 263.87/206.42 |-The branch is then unsatisfiable
% 263.87/206.42 |-Branch two:
% 263.87/206.42 | (564) ~ (all_0_20_20 = e3)
% 263.87/206.42 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (2305), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.42 | (736) all_0_20_20 = e2
% 263.87/206.42 |
% 263.87/206.42 | From (736) and (6525) follows:
% 263.87/206.42 | (3199) op(e2, e4) = e4
% 263.87/206.42 |
% 263.87/206.42 +-Applying beta-rule and splitting (2805), into two cases.
% 263.87/206.42 |-Branch one:
% 263.87/206.43 | (3200) ~ (op(e2, e4) = e4)
% 263.87/206.43 |
% 263.87/206.43 | Using (3199) and (3200) yields:
% 263.87/206.43 | (821) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (3199) op(e2, e4) = e4
% 263.87/206.43 | (1158) all_0_25_25 = e4
% 263.87/206.43 |
% 263.87/206.43 | Equations (1158) can reduce 501 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (1114) ~ (all_0_20_20 = e2)
% 263.87/206.43 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (2309), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (1175) all_0_20_20 = e1
% 263.87/206.43 |
% 263.87/206.43 | Equations (1175) can reduce 1409 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (1409) ~ (all_0_20_20 = e1)
% 263.87/206.43 | (835) all_0_20_20 = e0
% 263.87/206.43 |
% 263.87/206.43 | Equations (835) can reduce 839 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (514) ~ (all_0_35_35 = e4)
% 263.87/206.43 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (1164), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (2611) all_0_36_36 = e4
% 263.87/206.43 |
% 263.87/206.43 | Equations (2611) can reduce 586 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (586) ~ (all_0_36_36 = e4)
% 263.87/206.43 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (2633), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (1232) all_0_37_37 = e4
% 263.87/206.43 |
% 263.87/206.43 | Equations (1232) can reduce 2658 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (2658) ~ (all_0_37_37 = e4)
% 263.87/206.43 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (2659), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (1165) all_0_38_38 = e4
% 263.87/206.43 |
% 263.87/206.43 | Equations (1165) can reduce 1143 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (1143) ~ (all_0_38_38 = e4)
% 263.87/206.43 | (365) all_0_39_39 = e4
% 263.87/206.43 |
% 263.87/206.43 | Combining equations (365,380) yields a new equation:
% 263.87/206.43 | (842) e4 = e0
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 842 yields:
% 263.87/206.43 | (490) e4 = e0
% 263.87/206.43 |
% 263.87/206.43 | Equations (490) can reduce 287 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (576) ~ (all_0_22_22 = e4)
% 263.87/206.43 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (7426), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (1515) all_0_23_23 = e4
% 263.87/206.43 |
% 263.87/206.43 | Equations (1515) can reduce 578 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (578) ~ (all_0_23_23 = e4)
% 263.87/206.43 | (685) all_0_24_24 = e4
% 263.87/206.43 |
% 263.87/206.43 | Equations (685) can reduce 580 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (573) ~ (all_0_16_16 = e4)
% 263.87/206.43 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (704), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (1287) all_0_16_16 = e3
% 263.87/206.43 |
% 263.87/206.43 | Equations (1287) can reduce 458 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (458) ~ (all_0_16_16 = e3)
% 263.87/206.43 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (1290), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (697) all_0_16_16 = e2
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 169 to:
% 263.87/206.43 | (7439) ~ (all_0_17_17 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 7439 yields:
% 263.87/206.43 | (459) ~ (all_0_17_17 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 9 to:
% 263.87/206.43 | (7441) ~ (all_0_18_18 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 7441 yields:
% 263.87/206.43 | (666) ~ (all_0_18_18 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 236 to:
% 263.87/206.43 | (7443) ~ (all_0_19_19 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 7443 yields:
% 263.87/206.43 | (2785) ~ (all_0_19_19 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 139 to:
% 263.87/206.43 | (5333) ~ (all_0_26_26 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 5333 yields:
% 263.87/206.43 | (647) ~ (all_0_26_26 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 10 to:
% 263.87/206.43 | (1608) ~ (all_0_31_31 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 1608 yields:
% 263.87/206.43 | (1099) ~ (all_0_31_31 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 64 to:
% 263.87/206.43 | (755) ~ (all_0_36_36 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 755 yields:
% 263.87/206.43 | (756) ~ (all_0_36_36 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 573 to:
% 263.87/206.43 | (444) ~ (e4 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 444 yields:
% 263.87/206.43 | (19) ~ (e4 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 458 to:
% 263.87/206.43 | (658) ~ (e3 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Simplifying 658 yields:
% 263.87/206.43 | (56) ~ (e3 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Equations (697) can reduce 824 to:
% 263.87/206.43 | (347) ~ (e2 = e0)
% 263.87/206.43 |
% 263.87/206.43 | From (697) and (124) follows:
% 263.87/206.43 | (7456) op(e2, all_0_20_20) = e3
% 263.87/206.43 |
% 263.87/206.43 | From (697) and (40) follows:
% 263.87/206.43 | (7457) op(all_0_20_20, e2) = e4
% 263.87/206.43 |
% 263.87/206.43 | From (697) and (20) follows:
% 263.87/206.43 | (3029) op(e4, e3) = e2
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (5533), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (7007) all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Applying alpha-rule on (7007) yields:
% 263.87/206.43 | (6638) all_0_11_11 = all_0_18_18
% 263.87/206.43 | (666) ~ (all_0_18_18 = e2)
% 263.87/206.43 |
% 263.87/206.43 | Instantiating formula (97) with e4, e2, e4, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 263.87/206.43 | (682) all_0_17_17 = e4 | ~ (op(e4, e2) = e4)
% 263.87/206.43 |
% 263.87/206.43 | Instantiating formula (97) with e2, e2, e4, e2 and discharging atoms op(e2, e2) = e2, yields:
% 263.87/206.43 | (1745) e4 = e2 | ~ (op(e2, e2) = e4)
% 263.87/206.43 |
% 263.87/206.43 | Instantiating formula (97) with e0, e2, e4, all_0_37_37 and discharging atoms op(e0, e2) = all_0_37_37, yields:
% 263.87/206.43 | (7464) all_0_37_37 = e4 | ~ (op(e0, e2) = e4)
% 263.87/206.43 |
% 263.87/206.43 | Instantiating formula (97) with e2, e4, e3, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 263.87/206.43 | (7465) all_0_25_25 = e3 | ~ (op(e2, e4) = e3)
% 263.87/206.43 |
% 263.87/206.43 | Instantiating formula (97) with e2, e2, e3, e2 and discharging atoms op(e2, e2) = e2, yields:
% 263.87/206.43 | (7466) e3 = e2 | ~ (op(e2, e2) = e3)
% 263.87/206.43 |
% 263.87/206.43 | Instantiating formula (97) with e2, e0, e3, all_0_29_29 and discharging atoms op(e2, e0) = all_0_29_29, yields:
% 263.87/206.43 | (7467) all_0_29_29 = e3 | ~ (op(e2, e0) = e3)
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (26), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.43 | (887) all_0_18_18 = e4
% 263.87/206.43 |
% 263.87/206.43 | Equations (887) can reduce 1046 to:
% 263.87/206.43 | (366) $false
% 263.87/206.43 |
% 263.87/206.43 |-The branch is then unsatisfiable
% 263.87/206.43 |-Branch two:
% 263.87/206.43 | (1046) ~ (all_0_18_18 = e4)
% 263.87/206.43 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.87/206.43 |
% 263.87/206.43 +-Applying beta-rule and splitting (187), into two cases.
% 263.87/206.43 |-Branch one:
% 263.87/206.44 | (2611) all_0_36_36 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (2611) can reduce 170 to:
% 263.87/206.44 | (582) ~ (all_0_26_26 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (2611) can reduce 273 to:
% 263.87/206.44 | (514) ~ (all_0_35_35 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (2611) can reduce 516 to:
% 263.87/206.44 | (277) ~ (e4 = e3)
% 263.87/206.44 |
% 263.87/206.44 | Equations (2611) can reduce 756 to:
% 263.87/206.44 | (19) ~ (e4 = e2)
% 263.87/206.44 |
% 263.87/206.44 | Equations (2611) can reduce 386 to:
% 263.87/206.44 | (287) ~ (e4 = e0)
% 263.87/206.44 |
% 263.87/206.44 | From (2611) and (5) follows:
% 263.87/206.44 | (7478) op(e4, all_0_24_24) = e3
% 263.87/206.44 |
% 263.87/206.44 | Instantiating formula (97) with e4, e4, e3, e1 and discharging atoms op(e4, e4) = e1, yields:
% 263.87/206.44 | (6527) e3 = e1 | ~ (op(e4, e4) = e3)
% 263.87/206.44 |
% 263.87/206.44 | Instantiating formula (97) with e4, e1, e3, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 263.87/206.44 | (7480) all_0_18_18 = e3 | ~ (op(e4, e1) = e3)
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (122), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (1161) all_0_35_35 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (1161) can reduce 514 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (514) ~ (all_0_35_35 = e4)
% 263.87/206.44 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (166), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (464) all_0_15_15 = e4
% 263.87/206.44 |
% 263.87/206.44 | Combining equations (464,476) yields a new equation:
% 263.87/206.44 | (955) e4 = e1
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 955 yields:
% 263.87/206.44 | (480) e4 = e1
% 263.87/206.44 |
% 263.87/206.44 | Equations (480) can reduce 65 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (460) ~ (all_0_15_15 = e4)
% 263.87/206.44 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (476) can reduce 460 to:
% 263.87/206.44 | (477) ~ (e4 = e1)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 477 yields:
% 263.87/206.44 | (65) ~ (e4 = e1)
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (182), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (1237) all_0_26_26 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (1237) can reduce 582 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (582) ~ (all_0_26_26 = e4)
% 263.87/206.44 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (285), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (1158) all_0_25_25 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (1158) can reduce 95 to:
% 263.87/206.44 | (496) ~ (all_0_20_20 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (1158) can reduce 193 to:
% 263.87/206.44 | (889) ~ (all_0_28_28 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 889 yields:
% 263.87/206.44 | (890) ~ (all_0_28_28 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (1158) can reduce 62 to:
% 263.87/206.44 | (2797) ~ (all_0_29_29 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 2797 yields:
% 263.87/206.44 | (724) ~ (all_0_29_29 = e4)
% 263.87/206.44 |
% 263.87/206.44 | From (1158) and (57) follows:
% 263.87/206.44 | (1819) op(all_0_17_17, e4) = e2
% 263.87/206.44 |
% 263.87/206.44 | Instantiating formula (97) with e3, e4, e2, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 263.87/206.44 | (2860) all_0_20_20 = e2 | ~ (op(e3, e4) = e2)
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (242), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (711) all_0_19_19 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (711) can reduce 87 to:
% 263.87/206.44 | (579) ~ (all_0_24_24 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 579 yields:
% 263.87/206.44 | (580) ~ (all_0_24_24 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (711) can reduce 229 to:
% 263.87/206.44 | (2797) ~ (all_0_29_29 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 2797 yields:
% 263.87/206.44 | (724) ~ (all_0_29_29 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (711) can reduce 381 to:
% 263.87/206.44 | (287) ~ (e4 = e0)
% 263.87/206.44 |
% 263.87/206.44 | From (711) and (67) follows:
% 263.87/206.44 | (2088) op(e4, e0) = e4
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (256), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (1453) all_0_20_20 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (1453) can reduce 496 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (496) ~ (all_0_20_20 = e4)
% 263.87/206.44 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (7219), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (449) all_0_21_21 = e4
% 263.87/206.44 |
% 263.87/206.44 | Combining equations (453,449) yields a new equation:
% 263.87/206.44 | (691) e4 = e3
% 263.87/206.44 |
% 263.87/206.44 | Equations (691) can reduce 277 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (448) ~ (all_0_21_21 = e4)
% 263.87/206.44 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (7224), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (831) all_0_22_22 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (831) can reduce 211 to:
% 263.87/206.44 | (496) ~ (all_0_20_20 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (831) can reduce 346 to:
% 263.87/206.44 | (577) ~ (all_0_23_23 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 577 yields:
% 263.87/206.44 | (578) ~ (all_0_23_23 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (831) can reduce 202 to:
% 263.87/206.44 | (3299) ~ (all_0_37_37 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 3299 yields:
% 263.87/206.44 | (2658) ~ (all_0_37_37 = e4)
% 263.87/206.44 |
% 263.87/206.44 | Equations (831) can reduce 774 to:
% 263.87/206.44 | (277) ~ (e4 = e3)
% 263.87/206.44 |
% 263.87/206.44 | Equations (831) can reduce 493 to:
% 263.87/206.44 | (19) ~ (e4 = e2)
% 263.87/206.44 |
% 263.87/206.44 | From (831) and (234) follows:
% 263.87/206.44 | (7529) op(e4, all_0_26_26) = e2
% 263.87/206.44 |
% 263.87/206.44 | Instantiating formula (97) with e4, all_0_26_26, e2, e4 and discharging atoms op(e4, all_0_26_26) = e2, yields:
% 263.87/206.44 | (7530) e4 = e2 | ~ (op(e4, all_0_26_26) = e4)
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (111), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (468) all_0_15_15 = e3
% 263.87/206.44 |
% 263.87/206.44 | Combining equations (468,476) yields a new equation:
% 263.87/206.44 | (933) e3 = e1
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 933 yields:
% 263.87/206.44 | (706) e3 = e1
% 263.87/206.44 |
% 263.87/206.44 | Equations (706) can reduce 318 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (433) ~ (all_0_15_15 = e3)
% 263.87/206.44 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 263.87/206.44 |
% 263.87/206.44 | Equations (476) can reduce 433 to:
% 263.87/206.44 | (429) ~ (e3 = e1)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 429 yields:
% 263.87/206.44 | (318) ~ (e3 = e1)
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (72), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (468) all_0_15_15 = e3
% 263.87/206.44 |
% 263.87/206.44 | Combining equations (468,476) yields a new equation:
% 263.87/206.44 | (933) e3 = e1
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 933 yields:
% 263.87/206.44 | (706) e3 = e1
% 263.87/206.44 |
% 263.87/206.44 | Equations (706) can reduce 318 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (433) ~ (all_0_15_15 = e3)
% 263.87/206.44 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (135), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (835) all_0_20_20 = e0
% 263.87/206.44 |
% 263.87/206.44 | From (835) and (7457) follows:
% 263.87/206.44 | (7546) op(e0, e2) = e4
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (7464), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (7547) ~ (op(e0, e2) = e4)
% 263.87/206.44 |
% 263.87/206.44 | Using (7546) and (7547) yields:
% 263.87/206.44 | (821) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (7546) op(e0, e2) = e4
% 263.87/206.44 | (1232) all_0_37_37 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (1232) can reduce 2658 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (839) ~ (all_0_20_20 = e0)
% 263.87/206.44 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (840), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (529) all_0_21_21 = e0
% 263.87/206.44 |
% 263.87/206.44 | Combining equations (529,453) yields a new equation:
% 263.87/206.44 | (980) e3 = e0
% 263.87/206.44 |
% 263.87/206.44 | Equations (980) can reduce 88 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (398) ~ (all_0_21_21 = e0)
% 263.87/206.44 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (846), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (847) all_0_22_22 = e0
% 263.87/206.44 |
% 263.87/206.44 | Combining equations (831,847) yields a new equation:
% 263.87/206.44 | (842) e4 = e0
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 842 yields:
% 263.87/206.44 | (490) e4 = e0
% 263.87/206.44 |
% 263.87/206.44 | Equations (490) can reduce 287 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (826) ~ (all_0_22_22 = e0)
% 263.87/206.44 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (231), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (1453) all_0_20_20 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (1453) can reduce 496 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (496) ~ (all_0_20_20 = e4)
% 263.87/206.44 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (850), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (851) all_0_23_23 = e0
% 263.87/206.44 |
% 263.87/206.44 | Equations (851) can reduce 86 to:
% 263.87/206.44 | (885) ~ (all_0_28_28 = e0)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 885 yields:
% 263.87/206.44 | (886) ~ (all_0_28_28 = e0)
% 263.87/206.44 |
% 263.87/206.44 | Equations (851) can reduce 578 to:
% 263.87/206.44 | (389) ~ (e4 = e0)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 389 yields:
% 263.87/206.44 | (287) ~ (e4 = e0)
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (1047), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (1134) all_0_18_18 = e3
% 263.87/206.44 |
% 263.87/206.44 | Equations (1134) can reduce 300 to:
% 263.87/206.44 | (7575) ~ (all_0_28_28 = e3)
% 263.87/206.44 |
% 263.87/206.44 | Simplifying 7575 yields:
% 263.87/206.44 | (1035) ~ (all_0_28_28 = e3)
% 263.87/206.44 |
% 263.87/206.44 | Equations (1134) can reduce 666 to:
% 263.87/206.44 | (56) ~ (e3 = e2)
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (338), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (892) all_0_28_28 = e4
% 263.87/206.44 |
% 263.87/206.44 | Equations (892) can reduce 890 to:
% 263.87/206.44 | (366) $false
% 263.87/206.44 |
% 263.87/206.44 |-The branch is then unsatisfiable
% 263.87/206.44 |-Branch two:
% 263.87/206.44 | (890) ~ (all_0_28_28 = e4)
% 263.87/206.44 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.87/206.44 |
% 263.87/206.44 +-Applying beta-rule and splitting (895), into two cases.
% 263.87/206.44 |-Branch one:
% 263.87/206.44 | (896) all_0_28_28 = e3
% 263.87/206.44 |
% 263.87/206.45 | Equations (896) can reduce 1035 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (1035) ~ (all_0_28_28 = e3)
% 263.87/206.45 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (1036), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1037) all_0_28_28 = e2
% 263.87/206.45 |
% 263.87/206.45 | Equations (1037) can reduce 649 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (649) ~ (all_0_28_28 = e2)
% 263.87/206.45 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (1040), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1041) all_0_28_28 = e1
% 263.87/206.45 |
% 263.87/206.45 | Equations (1041) can reduce 73 to:
% 263.87/206.45 | (3164) ~ (all_0_29_29 = e1)
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 3164 yields:
% 263.87/206.45 | (952) ~ (all_0_29_29 = e1)
% 263.87/206.45 |
% 263.87/206.45 | Equations (1041) can reduce 198 to:
% 263.87/206.45 | (427) ~ (all_0_38_38 = e1)
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 427 yields:
% 263.87/206.45 | (428) ~ (all_0_38_38 = e1)
% 263.87/206.45 |
% 263.87/206.45 | Equations (1041) can reduce 890 to:
% 263.87/206.45 | (477) ~ (e4 = e1)
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 477 yields:
% 263.87/206.45 | (65) ~ (e4 = e1)
% 263.87/206.45 |
% 263.87/206.45 | Equations (1041) can reduce 886 to:
% 263.87/206.45 | (37) ~ (e1 = e0)
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (2584), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (873) all_0_16_16 = e0
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (873,697) yields a new equation:
% 263.87/206.45 | (551) e2 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (551) can reduce 347 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (824) ~ (all_0_16_16 = e0)
% 263.87/206.45 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (697) can reduce 824 to:
% 263.87/206.45 | (347) ~ (e2 = e0)
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (309), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1274) all_0_18_18 = e2
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (1274,1134) yields a new equation:
% 263.87/206.45 | (764) e3 = e2
% 263.87/206.45 |
% 263.87/206.45 | Equations (764) can reduce 56 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (666) ~ (all_0_18_18 = e2)
% 263.87/206.45 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (1756), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1126) all_0_23_23 = e2
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (851,1126) yields a new equation:
% 263.87/206.45 | (551) e2 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (551) can reduce 347 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (810) ~ (all_0_23_23 = e2)
% 263.87/206.45 | (5316) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 263.87/206.45 |
% 263.87/206.45 | Equations (851) can reduce 810 to:
% 263.87/206.45 | (393) ~ (e2 = e0)
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 393 yields:
% 263.87/206.45 | (347) ~ (e2 = e0)
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (357), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1250) all_0_29_29 = e4
% 263.87/206.45 |
% 263.87/206.45 | Equations (1250) can reduce 724 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (724) ~ (all_0_29_29 = e4)
% 263.87/206.45 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (241), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1921) all_0_25_25 = e0
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (1921,1158) yields a new equation:
% 263.87/206.45 | (490) e4 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (490) can reduce 287 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (1925) ~ (all_0_25_25 = e0)
% 263.87/206.45 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (2812), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1023) all_0_29_29 = e3
% 263.87/206.45 |
% 263.87/206.45 | Equations (1023) can reduce 383 to:
% 263.87/206.45 | (88) ~ (e3 = e0)
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (16), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1196) all_0_35_35 = e1
% 263.87/206.45 |
% 263.87/206.45 | Equations (1196) can reduce 1177 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (1177) ~ (all_0_35_35 = e1)
% 263.87/206.45 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (1199), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1015) all_0_36_36 = e1
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (2611,1015) yields a new equation:
% 263.87/206.45 | (955) e4 = e1
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 955 yields:
% 263.87/206.45 | (480) e4 = e1
% 263.87/206.45 |
% 263.87/206.45 | Equations (480) can reduce 65 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (1593) ~ (all_0_36_36 = e1)
% 263.87/206.45 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (1926), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (883) all_0_26_26 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (7530), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (7638) ~ (op(e4, all_0_26_26) = e4)
% 263.87/206.45 |
% 263.87/206.45 | From (883) and (7638) follows:
% 263.87/206.45 | (2089) ~ (op(e4, e0) = e4)
% 263.87/206.45 |
% 263.87/206.45 | Using (2088) and (2089) yields:
% 263.87/206.45 | (821) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (7641) op(e4, all_0_26_26) = e4
% 263.87/206.45 | (539) e4 = e2
% 263.87/206.45 |
% 263.87/206.45 | Equations (539) can reduce 19 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (1058) ~ (all_0_26_26 = e0)
% 263.87/206.45 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (2527), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (546) all_0_27_27 = e0
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (443,546) yields a new equation:
% 263.87/206.45 | (836) e2 = e0
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 836 yields:
% 263.87/206.45 | (551) e2 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (551) can reduce 347 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (434) ~ (all_0_27_27 = e0)
% 263.87/206.45 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (2672), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1590) all_0_37_37 = e1
% 263.87/206.45 |
% 263.87/206.45 | Equations (1590) can reduce 387 to:
% 263.87/206.45 | (37) ~ (e1 = e0)
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (876), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (529) all_0_21_21 = e0
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (453,529) yields a new equation:
% 263.87/206.45 | (979) e3 = e0
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 979 yields:
% 263.87/206.45 | (980) e3 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (980) can reduce 88 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (398) ~ (all_0_21_21 = e0)
% 263.87/206.45 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (453) can reduce 398 to:
% 263.87/206.45 | (88) ~ (e3 = e0)
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (2533), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1044) all_0_28_28 = e0
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (1044,1041) yields a new equation:
% 263.87/206.45 | (961) e1 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (961) can reduce 37 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (886) ~ (all_0_28_28 = e0)
% 263.87/206.45 | (2537) all_0_29_29 = e0
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (1023,2537) yields a new equation:
% 263.87/206.45 | (979) e3 = e0
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 979 yields:
% 263.87/206.45 | (980) e3 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (980) can reduce 88 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (2562) ~ (all_0_37_37 = e1)
% 263.87/206.45 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (2676), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (1211) all_0_38_38 = e1
% 263.87/206.45 |
% 263.87/206.45 | Equations (1211) can reduce 428 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (428) ~ (all_0_38_38 = e1)
% 263.87/206.45 | (377) all_0_39_39 = e1
% 263.87/206.45 |
% 263.87/206.45 | Combining equations (377,380) yields a new equation:
% 263.87/206.45 | (960) e1 = e0
% 263.87/206.45 |
% 263.87/206.45 | Simplifying 960 yields:
% 263.87/206.45 | (961) e1 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (961) can reduce 37 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (898) ~ (all_0_29_29 = e3)
% 263.87/206.45 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (5409), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (4103) all_0_29_29 = e2
% 263.87/206.45 |
% 263.87/206.45 | Equations (4103) can reduce 651 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (651) ~ (all_0_29_29 = e2)
% 263.87/206.45 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 263.87/206.45 |
% 263.87/206.45 +-Applying beta-rule and splitting (5413), into two cases.
% 263.87/206.45 |-Branch one:
% 263.87/206.45 | (945) all_0_29_29 = e1
% 263.87/206.45 |
% 263.87/206.45 | Equations (945) can reduce 952 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (952) ~ (all_0_29_29 = e1)
% 263.87/206.45 | (2537) all_0_29_29 = e0
% 263.87/206.45 |
% 263.87/206.45 | Equations (2537) can reduce 383 to:
% 263.87/206.45 | (366) $false
% 263.87/206.45 |
% 263.87/206.45 |-The branch is then unsatisfiable
% 263.87/206.45 |-Branch two:
% 263.87/206.45 | (421) ~ (all_0_28_28 = e1)
% 263.87/206.45 | (1044) all_0_28_28 = e0
% 263.87/206.45 |
% 263.87/206.46 | Equations (1044) can reduce 886 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (560) ~ (all_0_18_18 = e3)
% 263.87/206.46 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (7544), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (1287) all_0_16_16 = e3
% 263.87/206.46 |
% 263.87/206.46 | Combining equations (1287,697) yields a new equation:
% 263.87/206.46 | (3874) e3 = e2
% 263.87/206.46 |
% 263.87/206.46 | Simplifying 3874 yields:
% 263.87/206.46 | (764) e3 = e2
% 263.87/206.46 |
% 263.87/206.46 | Equations (764) can reduce 56 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (458) ~ (all_0_16_16 = e3)
% 263.87/206.46 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (7699), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (1970) all_0_17_17 = e3
% 263.87/206.46 |
% 263.87/206.46 | From (1970) and (1819) follows:
% 263.87/206.46 | (2984) op(e3, e4) = e2
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (2860), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (2993) ~ (op(e3, e4) = e2)
% 263.87/206.46 |
% 263.87/206.46 | Using (2984) and (2993) yields:
% 263.87/206.46 | (821) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (2984) op(e3, e4) = e2
% 263.87/206.46 | (736) all_0_20_20 = e2
% 263.87/206.46 |
% 263.87/206.46 | Equations (736) can reduce 496 to:
% 263.87/206.46 | (444) ~ (e4 = e2)
% 263.87/206.46 |
% 263.87/206.46 | Simplifying 444 yields:
% 263.87/206.46 | (19) ~ (e4 = e2)
% 263.87/206.46 |
% 263.87/206.46 | From (736) and (7457) follows:
% 263.87/206.46 | (538) op(e2, e2) = e4
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (192), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (663) all_0_19_19 = e2
% 263.87/206.46 |
% 263.87/206.46 | Combining equations (711,663) yields a new equation:
% 263.87/206.46 | (1111) e4 = e2
% 263.87/206.46 |
% 263.87/206.46 | Simplifying 1111 yields:
% 263.87/206.46 | (539) e4 = e2
% 263.87/206.46 |
% 263.87/206.46 | Equations (539) can reduce 19 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (2785) ~ (all_0_19_19 = e2)
% 263.87/206.46 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 263.87/206.46 |
% 263.87/206.46 | Equations (711) can reduce 2785 to:
% 263.87/206.46 | (19) ~ (e4 = e2)
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (1745), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (2364) ~ (op(e2, e2) = e4)
% 263.87/206.46 |
% 263.87/206.46 | Using (538) and (2364) yields:
% 263.87/206.46 | (821) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (538) op(e2, e2) = e4
% 263.87/206.46 | (539) e4 = e2
% 263.87/206.46 |
% 263.87/206.46 | Equations (539) can reduce 19 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (558) ~ (all_0_17_17 = e3)
% 263.87/206.46 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (7722), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (1134) all_0_18_18 = e3
% 263.87/206.46 |
% 263.87/206.46 | Equations (1134) can reduce 560 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (560) ~ (all_0_18_18 = e3)
% 263.87/206.46 | (927) all_0_19_19 = e3
% 263.87/206.46 |
% 263.87/206.46 | Combining equations (927,711) yields a new equation:
% 263.87/206.46 | (691) e4 = e3
% 263.87/206.46 |
% 263.87/206.46 | Equations (691) can reduce 277 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (1068) ~ (all_0_23_23 = e0)
% 263.87/206.46 | (1069) all_0_24_24 = e0
% 263.87/206.46 |
% 263.87/206.46 | Equations (1069) can reduce 382 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (576) ~ (all_0_22_22 = e4)
% 263.87/206.46 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (7426), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (1515) all_0_23_23 = e4
% 263.87/206.46 |
% 263.87/206.46 | Equations (1515) can reduce 578 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (578) ~ (all_0_23_23 = e4)
% 263.87/206.46 | (685) all_0_24_24 = e4
% 263.87/206.46 |
% 263.87/206.46 | Equations (685) can reduce 580 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (714) ~ (all_0_19_19 = e4)
% 263.87/206.46 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (715), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (685) all_0_24_24 = e4
% 263.87/206.46 |
% 263.87/206.46 | From (685) and (7478) follows:
% 263.87/206.46 | (533) op(e4, e4) = e3
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (6527), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (7213) ~ (op(e4, e4) = e3)
% 263.87/206.46 |
% 263.87/206.46 | Using (533) and (7213) yields:
% 263.87/206.46 | (821) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (533) op(e4, e4) = e3
% 263.87/206.46 | (706) e3 = e1
% 263.87/206.46 |
% 263.87/206.46 | Equations (706) can reduce 318 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (580) ~ (all_0_24_24 = e4)
% 263.87/206.46 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (1400), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (1250) all_0_29_29 = e4
% 263.87/206.46 |
% 263.87/206.46 | Equations (1250) can reduce 724 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (724) ~ (all_0_29_29 = e4)
% 263.87/206.46 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (1735), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.46 | (723) all_0_34_34 = e4
% 263.87/206.46 |
% 263.87/206.46 | Equations (723) can reduce 1395 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (1395) ~ (all_0_34_34 = e4)
% 263.87/206.46 | (365) all_0_39_39 = e4
% 263.87/206.46 |
% 263.87/206.46 | Combining equations (365,380) yields a new equation:
% 263.87/206.46 | (842) e4 = e0
% 263.87/206.46 |
% 263.87/206.46 | Simplifying 842 yields:
% 263.87/206.46 | (490) e4 = e0
% 263.87/206.46 |
% 263.87/206.46 | Equations (490) can reduce 287 to:
% 263.87/206.46 | (366) $false
% 263.87/206.46 |
% 263.87/206.46 |-The branch is then unsatisfiable
% 263.87/206.46 |-Branch two:
% 263.87/206.46 | (501) ~ (all_0_25_25 = e4)
% 263.87/206.46 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.87/206.46 |
% 263.87/206.46 +-Applying beta-rule and splitting (1217), into two cases.
% 263.87/206.46 |-Branch one:
% 263.87/206.47 | (1237) all_0_26_26 = e4
% 263.87/206.47 |
% 263.87/206.47 | Equations (1237) can reduce 582 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (582) ~ (all_0_26_26 = e4)
% 263.87/206.47 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (8), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (464) all_0_15_15 = e4
% 263.87/206.47 |
% 263.87/206.47 | Combining equations (464,476) yields a new equation:
% 263.87/206.47 | (955) e4 = e1
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 955 yields:
% 263.87/206.47 | (480) e4 = e1
% 263.87/206.47 |
% 263.87/206.47 | Equations (480) can reduce 65 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (460) ~ (all_0_15_15 = e4)
% 263.87/206.47 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (1240), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (435) all_0_27_27 = e4
% 263.87/206.47 |
% 263.87/206.47 | Combining equations (443,435) yields a new equation:
% 263.87/206.47 | (539) e4 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (539) can reduce 19 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (404) ~ (all_0_27_27 = e4)
% 263.87/206.47 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (914), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (1453) all_0_20_20 = e4
% 263.87/206.47 |
% 263.87/206.47 | Equations (1453) can reduce 272 to:
% 263.87/206.47 | (577) ~ (all_0_23_23 = e4)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 577 yields:
% 263.87/206.47 | (578) ~ (all_0_23_23 = e4)
% 263.87/206.47 |
% 263.87/206.47 | Equations (1453) can reduce 249 to:
% 263.87/206.47 | (1159) ~ (all_0_35_35 = e4)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 1159 yields:
% 263.87/206.47 | (514) ~ (all_0_35_35 = e4)
% 263.87/206.47 |
% 263.87/206.47 | From (1453) and (7456) follows:
% 263.87/206.47 | (7783) op(e2, e4) = e3
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (1245), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (892) all_0_28_28 = e4
% 263.87/206.47 |
% 263.87/206.47 | Equations (892) can reduce 890 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (890) ~ (all_0_28_28 = e4)
% 263.87/206.47 | (1250) all_0_29_29 = e4
% 263.87/206.47 |
% 263.87/206.47 | Equations (1250) can reduce 229 to:
% 263.87/206.47 | (714) ~ (all_0_19_19 = e4)
% 263.87/206.47 |
% 263.87/206.47 | Equations (1250) can reduce 85 to:
% 263.87/206.47 | (580) ~ (all_0_24_24 = e4)
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (7465), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (7790) ~ (op(e2, e4) = e3)
% 263.87/206.47 |
% 263.87/206.47 | Using (7783) and (7790) yields:
% 263.87/206.47 | (821) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (7783) op(e2, e4) = e3
% 263.87/206.47 | (2438) all_0_25_25 = e3
% 263.87/206.47 |
% 263.87/206.47 | Equations (2438) can reduce 193 to:
% 263.87/206.47 | (7575) ~ (all_0_28_28 = e3)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 7575 yields:
% 263.87/206.47 | (1035) ~ (all_0_28_28 = e3)
% 263.87/206.47 |
% 263.87/206.47 | Equations (2438) can reduce 98 to:
% 263.87/206.47 | (569) ~ (all_0_35_35 = e3)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 569 yields:
% 263.87/206.47 | (570) ~ (all_0_35_35 = e3)
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (1181), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (814) all_0_35_35 = e3
% 263.87/206.47 |
% 263.87/206.47 | Equations (814) can reduce 570 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (570) ~ (all_0_35_35 = e3)
% 263.87/206.47 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (1185), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (797) all_0_35_35 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (797) can reduce 96 to:
% 263.87/206.47 | (740) ~ (all_0_30_30 = e2)
% 263.87/206.47 |
% 263.87/206.47 | Equations (797) can reduce 173 to:
% 263.87/206.47 | (1130) ~ (all_0_38_38 = e2)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 1130 yields:
% 263.87/206.47 | (1084) ~ (all_0_38_38 = e2)
% 263.87/206.47 |
% 263.87/206.47 | Equations (797) can reduce 514 to:
% 263.87/206.47 | (444) ~ (e4 = e2)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 444 yields:
% 263.87/206.47 | (19) ~ (e4 = e2)
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (309), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (1274) all_0_18_18 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (1274) can reduce 666 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (666) ~ (all_0_18_18 = e2)
% 263.87/206.47 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (225), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (711) all_0_19_19 = e4
% 263.87/206.47 |
% 263.87/206.47 | Equations (711) can reduce 714 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (714) ~ (all_0_19_19 = e4)
% 263.87/206.47 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (215), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (747) all_0_30_30 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (747) can reduce 740 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (740) ~ (all_0_30_30 = e2)
% 263.87/206.47 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (1756), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (1126) all_0_23_23 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (1126) can reduce 578 to:
% 263.87/206.47 | (444) ~ (e4 = e2)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 444 yields:
% 263.87/206.47 | (19) ~ (e4 = e2)
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (192), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (663) all_0_19_19 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (663) can reduce 2785 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (2785) ~ (all_0_19_19 = e2)
% 263.87/206.47 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (750), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (751) all_0_31_31 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (751) can reduce 1099 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (1099) ~ (all_0_31_31 = e2)
% 263.87/206.47 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (4311), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (927) all_0_19_19 = e3
% 263.87/206.47 |
% 263.87/206.47 | Equations (927) can reduce 337 to:
% 263.87/206.47 | (560) ~ (all_0_18_18 = e3)
% 263.87/206.47 |
% 263.87/206.47 | Equations (927) can reduce 87 to:
% 263.87/206.47 | (3506) ~ (all_0_24_24 = e3)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 3506 yields:
% 263.87/206.47 | (963) ~ (all_0_24_24 = e3)
% 263.87/206.47 |
% 263.87/206.47 | Equations (927) can reduce 714 to:
% 263.87/206.47 | (695) ~ (e4 = e3)
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 695 yields:
% 263.87/206.47 | (277) ~ (e4 = e3)
% 263.87/206.47 |
% 263.87/206.47 | Equations (927) can reduce 2785 to:
% 263.87/206.47 | (56) ~ (e3 = e2)
% 263.87/206.47 |
% 263.87/206.47 | Equations (927) can reduce 720 to:
% 263.87/206.47 | (318) ~ (e3 = e1)
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (269), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (1134) all_0_18_18 = e3
% 263.87/206.47 |
% 263.87/206.47 | Equations (1134) can reduce 560 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (560) ~ (all_0_18_18 = e3)
% 263.87/206.47 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (1137), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (978) all_0_23_23 = e3
% 263.87/206.47 |
% 263.87/206.47 | Combining equations (1126,978) yields a new equation:
% 263.87/206.47 | (764) e3 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (764) can reduce 56 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (982) ~ (all_0_23_23 = e3)
% 263.87/206.47 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (3084), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (896) all_0_28_28 = e3
% 263.87/206.47 |
% 263.87/206.47 | Equations (896) can reduce 1035 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (1035) ~ (all_0_28_28 = e3)
% 263.87/206.47 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (154), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (685) all_0_24_24 = e4
% 263.87/206.47 |
% 263.87/206.47 | Equations (685) can reduce 580 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (580) ~ (all_0_24_24 = e4)
% 263.87/206.47 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (1100), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (1101) all_0_32_32 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (1101) can reduce 508 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (508) ~ (all_0_32_32 = e2)
% 263.87/206.47 | (1104) all_0_33_33 = e2 | all_0_34_34 = e2
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (688), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (939) all_0_24_24 = e3
% 263.87/206.47 |
% 263.87/206.47 | Equations (939) can reduce 963 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (963) ~ (all_0_24_24 = e3)
% 263.87/206.47 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (3089), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (410) all_0_33_33 = e3
% 263.87/206.47 |
% 263.87/206.47 | Combining equations (406,410) yields a new equation:
% 263.87/206.47 | (690) e4 = e3
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 690 yields:
% 263.87/206.47 | (691) e4 = e3
% 263.87/206.47 |
% 263.87/206.47 | Equations (691) can reduce 277 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (403) ~ (all_0_33_33 = e3)
% 263.87/206.47 | (1077) all_0_38_38 = e3
% 263.87/206.47 |
% 263.87/206.47 | Equations (1077) can reduce 142 to:
% 263.87/206.47 | (560) ~ (all_0_18_18 = e3)
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (1104), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (414) all_0_33_33 = e2
% 263.87/206.47 |
% 263.87/206.47 | Combining equations (406,414) yields a new equation:
% 263.87/206.47 | (1111) e4 = e2
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 1111 yields:
% 263.87/206.47 | (539) e4 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (539) can reduce 19 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (401) ~ (all_0_33_33 = e2)
% 263.87/206.47 | (1110) all_0_34_34 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (1110) can reduce 4 to:
% 263.87/206.47 | (668) ~ (all_0_24_24 = e2)
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (32), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (716) all_0_19_19 = e1
% 263.87/206.47 |
% 263.87/206.47 | Combining equations (927,716) yields a new equation:
% 263.87/206.47 | (933) e3 = e1
% 263.87/206.47 |
% 263.87/206.47 | Simplifying 933 yields:
% 263.87/206.47 | (706) e3 = e1
% 263.87/206.47 |
% 263.87/206.47 | Equations (706) can reduce 318 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (720) ~ (all_0_19_19 = e1)
% 263.87/206.47 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (968), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (1393) all_0_24_24 = e2
% 263.87/206.47 |
% 263.87/206.47 | Equations (1393) can reduce 668 to:
% 263.87/206.47 | (366) $false
% 263.87/206.47 |
% 263.87/206.47 |-The branch is then unsatisfiable
% 263.87/206.47 |-Branch two:
% 263.87/206.47 | (668) ~ (all_0_24_24 = e2)
% 263.87/206.47 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 263.87/206.47 |
% 263.87/206.47 +-Applying beta-rule and splitting (721), into two cases.
% 263.87/206.47 |-Branch one:
% 263.87/206.47 | (940) all_0_24_24 = e1
% 263.87/206.47 |
% 263.87/206.47 | From (940) and (7478) follows:
% 263.87/206.48 | (7889) op(e4, e1) = e3
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (1047), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (1134) all_0_18_18 = e3
% 263.87/206.48 |
% 263.87/206.48 | Equations (1134) can reduce 560 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (560) ~ (all_0_18_18 = e3)
% 263.87/206.48 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (7480), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (7894) ~ (op(e4, e1) = e3)
% 263.87/206.48 |
% 263.87/206.48 | Using (7889) and (7894) yields:
% 263.87/206.48 | (821) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (7889) op(e4, e1) = e3
% 263.87/206.48 | (1134) all_0_18_18 = e3
% 263.87/206.48 |
% 263.87/206.48 | Equations (1134) can reduce 560 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (943) ~ (all_0_24_24 = e1)
% 263.87/206.48 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (2760), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (940) all_0_24_24 = e1
% 263.87/206.48 |
% 263.87/206.48 | Equations (940) can reduce 943 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (943) ~ (all_0_24_24 = e1)
% 263.87/206.48 | (1069) all_0_24_24 = e0
% 263.87/206.48 |
% 263.87/206.48 | Equations (1069) can reduce 382 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (562) ~ (all_0_19_19 = e3)
% 263.87/206.48 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (4315), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (663) all_0_19_19 = e2
% 263.87/206.48 |
% 263.87/206.48 | Equations (663) can reduce 2785 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (2785) ~ (all_0_19_19 = e2)
% 263.87/206.48 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (4319), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (716) all_0_19_19 = e1
% 263.87/206.48 |
% 263.87/206.48 | Equations (716) can reduce 720 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (720) ~ (all_0_19_19 = e1)
% 263.87/206.48 | (2703) all_0_19_19 = e0
% 263.87/206.48 |
% 263.87/206.48 | Equations (2703) can reduce 381 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (810) ~ (all_0_23_23 = e2)
% 263.87/206.48 | (5316) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (5316), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (1037) all_0_28_28 = e2
% 263.87/206.48 |
% 263.87/206.48 | Equations (1037) can reduce 649 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (649) ~ (all_0_28_28 = e2)
% 263.87/206.48 | (5320) all_0_33_33 = e2 | all_0_38_38 = e2
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (51), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (736) all_0_20_20 = e2
% 263.87/206.48 |
% 263.87/206.48 | Combining equations (736,1453) yields a new equation:
% 263.87/206.48 | (539) e4 = e2
% 263.87/206.48 |
% 263.87/206.48 | Equations (539) can reduce 19 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (1114) ~ (all_0_20_20 = e2)
% 263.87/206.48 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 263.87/206.48 |
% 263.87/206.48 | Equations (1453) can reduce 1114 to:
% 263.87/206.48 | (19) ~ (e4 = e2)
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (5320), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (414) all_0_33_33 = e2
% 263.87/206.48 |
% 263.87/206.48 | Combining equations (406,414) yields a new equation:
% 263.87/206.48 | (1111) e4 = e2
% 263.87/206.48 |
% 263.87/206.48 | Simplifying 1111 yields:
% 263.87/206.48 | (539) e4 = e2
% 263.87/206.48 |
% 263.87/206.48 | Equations (539) can reduce 19 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (401) ~ (all_0_33_33 = e2)
% 263.87/206.48 | (809) all_0_38_38 = e2
% 263.87/206.48 |
% 263.87/206.48 | Equations (809) can reduce 1084 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (742) ~ (all_0_35_35 = e2)
% 263.87/206.48 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (1195), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (1196) all_0_35_35 = e1
% 263.87/206.48 |
% 263.87/206.48 | Equations (1196) can reduce 1177 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (1177) ~ (all_0_35_35 = e1)
% 263.87/206.48 | (1203) all_0_35_35 = e0
% 263.87/206.48 |
% 263.87/206.48 | Equations (1203) can reduce 385 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (496) ~ (all_0_20_20 = e4)
% 263.87/206.48 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (1456), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (1158) all_0_25_25 = e4
% 263.87/206.48 |
% 263.87/206.48 | Equations (1158) can reduce 501 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (501) ~ (all_0_25_25 = e4)
% 263.87/206.48 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (1460), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (768) all_0_30_30 = e4
% 263.87/206.48 |
% 263.87/206.48 | Equations (768) can reduce 509 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (509) ~ (all_0_30_30 = e4)
% 263.87/206.48 | (1161) all_0_35_35 = e4
% 263.87/206.48 |
% 263.87/206.48 | Equations (1161) can reduce 514 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (586) ~ (all_0_36_36 = e4)
% 263.87/206.48 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (163), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (701) all_0_16_16 = e4
% 263.87/206.48 |
% 263.87/206.48 | Combining equations (697,701) yields a new equation:
% 263.87/206.48 | (539) e4 = e2
% 263.87/206.48 |
% 263.87/206.48 | Equations (539) can reduce 19 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (573) ~ (all_0_16_16 = e4)
% 263.87/206.48 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (2614), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (818) all_0_36_36 = e3
% 263.87/206.48 |
% 263.87/206.48 | Equations (818) can reduce 516 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (516) ~ (all_0_36_36 = e3)
% 263.87/206.48 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (6243), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (449) all_0_21_21 = e4
% 263.87/206.48 |
% 263.87/206.48 | Combining equations (453,449) yields a new equation:
% 263.87/206.48 | (691) e4 = e3
% 263.87/206.48 |
% 263.87/206.48 | Equations (691) can reduce 277 to:
% 263.87/206.48 | (366) $false
% 263.87/206.48 |
% 263.87/206.48 |-The branch is then unsatisfiable
% 263.87/206.48 |-Branch two:
% 263.87/206.48 | (448) ~ (all_0_21_21 = e4)
% 263.87/206.48 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 263.87/206.48 |
% 263.87/206.48 +-Applying beta-rule and splitting (6248), into two cases.
% 263.87/206.48 |-Branch one:
% 263.87/206.48 | (1237) all_0_26_26 = e4
% 263.87/206.48 |
% 263.87/206.48 | Equations (1237) can reduce 128 to:
% 263.87/206.48 | (501) ~ (all_0_25_25 = e4)
% 263.87/206.48 |
% 263.87/206.48 | Equations (1237) can reduce 46 to:
% 263.87/206.48 | (889) ~ (all_0_28_28 = e4)
% 263.87/206.48 |
% 263.87/206.48 | Simplifying 889 yields:
% 263.87/206.48 | (890) ~ (all_0_28_28 = e4)
% 263.87/206.48 |
% 263.87/206.48 | Equations (1237) can reduce 38 to:
% 263.87/206.48 | (2797) ~ (all_0_29_29 = e4)
% 263.87/206.48 |
% 263.87/206.48 | Simplifying 2797 yields:
% 263.87/206.48 | (724) ~ (all_0_29_29 = e4)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1237) can reduce 145 to:
% 263.87/206.49 | (583) ~ (all_0_31_31 = e4)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 583 yields:
% 263.87/206.49 | (584) ~ (all_0_31_31 = e4)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1237) can reduce 170 to:
% 263.87/206.49 | (585) ~ (all_0_36_36 = e4)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 585 yields:
% 263.87/206.49 | (586) ~ (all_0_36_36 = e4)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1237) can reduce 504 to:
% 263.87/206.49 | (277) ~ (e4 = e3)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1237) can reduce 647 to:
% 263.87/206.49 | (19) ~ (e4 = e2)
% 263.87/206.49 |
% 263.87/206.49 | From (1237) and (234) follows:
% 263.87/206.49 | (5602) op(all_0_22_22, e4) = e2
% 263.87/206.49 |
% 263.87/206.49 | From (1237) and (147) follows:
% 263.87/206.49 | (7983) op(e4, all_0_22_22) = e3
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (3567), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (801) all_0_36_36 = e2
% 263.87/206.49 |
% 263.87/206.49 | Equations (801) can reduce 756 to:
% 263.87/206.49 | (366) $false
% 263.87/206.49 |
% 263.87/206.49 |-The branch is then unsatisfiable
% 263.87/206.49 |-Branch two:
% 263.87/206.49 | (756) ~ (all_0_36_36 = e2)
% 263.87/206.49 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (876), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (529) all_0_21_21 = e0
% 263.87/206.49 |
% 263.87/206.49 | Combining equations (453,529) yields a new equation:
% 263.87/206.49 | (979) e3 = e0
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 979 yields:
% 263.87/206.49 | (980) e3 = e0
% 263.87/206.49 |
% 263.87/206.49 | Equations (980) can reduce 88 to:
% 263.87/206.49 | (366) $false
% 263.87/206.49 |
% 263.87/206.49 |-The branch is then unsatisfiable
% 263.87/206.49 |-Branch two:
% 263.87/206.49 | (398) ~ (all_0_21_21 = e0)
% 263.87/206.49 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (882), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (883) all_0_26_26 = e0
% 263.87/206.49 |
% 263.87/206.49 | Combining equations (1237,883) yields a new equation:
% 263.87/206.49 | (842) e4 = e0
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 842 yields:
% 263.87/206.49 | (490) e4 = e0
% 263.87/206.49 |
% 263.87/206.49 | Equations (490) can reduce 287 to:
% 263.87/206.49 | (366) $false
% 263.87/206.49 |
% 263.87/206.49 |-The branch is then unsatisfiable
% 263.87/206.49 |-Branch two:
% 263.87/206.49 | (1058) ~ (all_0_26_26 = e0)
% 263.87/206.49 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (1059), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (1060) all_0_31_31 = e0
% 263.87/206.49 |
% 263.87/206.49 | Equations (1060) can reduce 217 to:
% 263.87/206.49 | (1878) ~ (all_0_30_30 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1060) can reduce 247 to:
% 263.87/206.49 | (2961) ~ (all_0_32_32 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 2961 yields:
% 263.87/206.49 | (1946) ~ (all_0_32_32 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1060) can reduce 7 to:
% 263.87/206.49 | (3457) ~ (all_0_36_36 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 3457 yields:
% 263.87/206.49 | (386) ~ (all_0_36_36 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1060) can reduce 584 to:
% 263.87/206.49 | (389) ~ (e4 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 389 yields:
% 263.87/206.49 | (287) ~ (e4 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1060) can reduce 510 to:
% 263.87/206.49 | (391) ~ (e3 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 391 yields:
% 263.87/206.49 | (88) ~ (e3 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1060) can reduce 1099 to:
% 263.87/206.49 | (393) ~ (e2 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 393 yields:
% 263.87/206.49 | (347) ~ (e2 = e0)
% 263.87/206.49 |
% 263.87/206.49 | From (1060) and (25) follows:
% 263.87/206.49 | (8012) op(all_0_23_23, e0) = e1
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (3571), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (1015) all_0_36_36 = e1
% 263.87/206.49 |
% 263.87/206.49 | Equations (1015) can reduce 273 to:
% 263.87/206.49 | (1177) ~ (all_0_35_35 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1015) can reduce 183 to:
% 263.87/206.49 | (2561) ~ (all_0_37_37 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 2561 yields:
% 263.87/206.49 | (2562) ~ (all_0_37_37 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1015) can reduce 586 to:
% 263.87/206.49 | (477) ~ (e4 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 477 yields:
% 263.87/206.49 | (65) ~ (e4 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1015) can reduce 516 to:
% 263.87/206.49 | (429) ~ (e3 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 429 yields:
% 263.87/206.49 | (318) ~ (e3 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1015) can reduce 756 to:
% 263.87/206.49 | (1002) ~ (e2 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Simplifying 1002 yields:
% 263.87/206.49 | (329) ~ (e2 = e1)
% 263.87/206.49 |
% 263.87/206.49 | Equations (1015) can reduce 386 to:
% 263.87/206.49 | (37) ~ (e1 = e0)
% 263.87/206.49 |
% 263.87/206.49 | From (1015) and (158) follows:
% 263.87/206.49 | (8024) op(all_0_24_24, e1) = e0
% 263.87/206.49 |
% 263.87/206.49 | From (1015) and (5) follows:
% 263.87/206.49 | (8025) op(e1, all_0_24_24) = e3
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (5476), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (8026) all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Applying alpha-rule on (8026) yields:
% 263.87/206.49 | (8027) all_0_5_5 = all_0_30_30
% 263.87/206.49 | (1878) ~ (all_0_30_30 = e0)
% 263.87/206.49 |
% 263.87/206.49 | Instantiating formula (97) with e1, e0, e1, all_0_34_34 and discharging atoms op(e1, e0) = all_0_34_34, yields:
% 263.87/206.49 | (8029) all_0_34_34 = e1 | ~ (op(e1, e0) = e1)
% 263.87/206.49 |
% 263.87/206.49 | Instantiating formula (97) with e4, e1, e0, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 263.87/206.49 | (2808) all_0_18_18 = e0 | ~ (op(e4, e1) = e0)
% 263.87/206.49 |
% 263.87/206.49 | Instantiating formula (97) with e4, e4, e3, e1 and discharging atoms op(e4, e4) = e1, yields:
% 263.87/206.49 | (6527) e3 = e1 | ~ (op(e4, e4) = e3)
% 263.87/206.49 |
% 263.87/206.49 | Instantiating formula (97) with e1, e4, e3, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 263.87/206.49 | (8032) all_0_30_30 = e3 | ~ (op(e1, e4) = e3)
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (17), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (1498) all_0_17_17 = e1
% 263.87/206.49 |
% 263.87/206.49 | Equations (1498) can reduce 1501 to:
% 263.87/206.49 | (366) $false
% 263.87/206.49 |
% 263.87/206.49 |-The branch is then unsatisfiable
% 263.87/206.49 |-Branch two:
% 263.87/206.49 | (1501) ~ (all_0_17_17 = e1)
% 263.87/206.49 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (242), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (711) all_0_19_19 = e4
% 263.87/206.49 |
% 263.87/206.49 | Equations (711) can reduce 333 to:
% 263.87/206.49 | (869) ~ (all_0_17_17 = e4)
% 263.87/206.49 |
% 263.87/206.49 | Equations (711) can reduce 2785 to:
% 263.87/206.49 | (19) ~ (e4 = e2)
% 263.87/206.49 |
% 263.87/206.49 | Equations (711) can reduce 720 to:
% 263.87/206.49 | (65) ~ (e4 = e1)
% 263.87/206.49 |
% 263.87/206.49 +-Applying beta-rule and splitting (256), into two cases.
% 263.87/206.49 |-Branch one:
% 263.87/206.49 | (1453) all_0_20_20 = e4
% 263.87/206.49 |
% 263.87/206.49 | From (1453) and (7457) follows:
% 263.87/206.49 | (1462) op(e4, e2) = e4
% 263.87/206.49 |
% 264.13/206.49 +-Applying beta-rule and splitting (59), into two cases.
% 264.13/206.49 |-Branch one:
% 264.13/206.49 | (865) all_0_17_17 = e4
% 264.13/206.49 |
% 264.13/206.49 | Equations (865) can reduce 869 to:
% 264.13/206.49 | (366) $false
% 264.13/206.49 |
% 264.13/206.49 |-The branch is then unsatisfiable
% 264.13/206.49 |-Branch two:
% 264.13/206.49 | (869) ~ (all_0_17_17 = e4)
% 264.13/206.49 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.13/206.49 |
% 264.13/206.49 +-Applying beta-rule and splitting (682), into two cases.
% 264.13/206.49 |-Branch one:
% 264.13/206.49 | (1463) ~ (op(e4, e2) = e4)
% 264.13/206.49 |
% 264.13/206.49 | Using (1462) and (1463) yields:
% 264.13/206.49 | (821) $false
% 264.13/206.49 |
% 264.13/206.49 |-The branch is then unsatisfiable
% 264.13/206.49 |-Branch two:
% 264.13/206.49 | (1462) op(e4, e2) = e4
% 264.13/206.49 | (865) all_0_17_17 = e4
% 264.13/206.49 |
% 264.13/206.49 | Equations (865) can reduce 869 to:
% 264.13/206.49 | (366) $false
% 264.13/206.49 |
% 264.13/206.49 |-The branch is then unsatisfiable
% 264.13/206.49 |-Branch two:
% 264.13/206.49 | (496) ~ (all_0_20_20 = e4)
% 264.13/206.49 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.13/206.49 |
% 264.13/206.49 +-Applying beta-rule and splitting (7219), into two cases.
% 264.13/206.49 |-Branch one:
% 264.13/206.49 | (449) all_0_21_21 = e4
% 264.13/206.49 |
% 264.13/206.49 | Combining equations (453,449) yields a new equation:
% 264.13/206.49 | (691) e4 = e3
% 264.13/206.49 |
% 264.13/206.49 | Equations (691) can reduce 277 to:
% 264.13/206.49 | (366) $false
% 264.13/206.49 |
% 264.13/206.49 |-The branch is then unsatisfiable
% 264.13/206.49 |-Branch two:
% 264.13/206.49 | (448) ~ (all_0_21_21 = e4)
% 264.13/206.49 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.13/206.49 |
% 264.13/206.49 +-Applying beta-rule and splitting (7224), into two cases.
% 264.13/206.49 |-Branch one:
% 264.13/206.49 | (831) all_0_22_22 = e4
% 264.13/206.49 |
% 264.13/206.49 | From (831) and (7983) follows:
% 264.13/206.49 | (533) op(e4, e4) = e3
% 264.13/206.49 |
% 264.13/206.49 +-Applying beta-rule and splitting (6527), into two cases.
% 264.13/206.49 |-Branch one:
% 264.13/206.49 | (7213) ~ (op(e4, e4) = e3)
% 264.13/206.49 |
% 264.13/206.49 | Using (533) and (7213) yields:
% 264.13/206.49 | (821) $false
% 264.13/206.49 |
% 264.13/206.49 |-The branch is then unsatisfiable
% 264.13/206.49 |-Branch two:
% 264.13/206.49 | (533) op(e4, e4) = e3
% 264.13/206.49 | (706) e3 = e1
% 264.13/206.49 |
% 264.13/206.49 | Equations (706) can reduce 318 to:
% 264.13/206.49 | (366) $false
% 264.13/206.49 |
% 264.13/206.49 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (576) ~ (all_0_22_22 = e4)
% 264.13/206.50 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (59), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (865) all_0_17_17 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (865) can reduce 869 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (869) ~ (all_0_17_17 = e4)
% 264.13/206.50 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (1148), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (831) all_0_22_22 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (831) can reduce 576 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (576) ~ (all_0_22_22 = e4)
% 264.13/206.50 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (8), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (464) all_0_15_15 = e4
% 264.13/206.50 |
% 264.13/206.50 | Combining equations (464,476) yields a new equation:
% 264.13/206.50 | (955) e4 = e1
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 955 yields:
% 264.13/206.50 | (480) e4 = e1
% 264.13/206.50 |
% 264.13/206.50 | Equations (480) can reduce 65 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (460) ~ (all_0_15_15 = e4)
% 264.13/206.50 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (1152), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (435) all_0_27_27 = e4
% 264.13/206.50 |
% 264.13/206.50 | Combining equations (443,435) yields a new equation:
% 264.13/206.50 | (539) e4 = e2
% 264.13/206.50 |
% 264.13/206.50 | Equations (539) can reduce 19 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (404) ~ (all_0_27_27 = e4)
% 264.13/206.50 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (914), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (1453) all_0_20_20 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (1453) can reduce 496 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (496) ~ (all_0_20_20 = e4)
% 264.13/206.50 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (1456), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (1158) all_0_25_25 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (1158) can reduce 501 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (501) ~ (all_0_25_25 = e4)
% 264.13/206.50 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (1460), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (768) all_0_30_30 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (768) can reduce 509 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (509) ~ (all_0_30_30 = e4)
% 264.13/206.50 | (1161) all_0_35_35 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (1161) can reduce 121 to:
% 264.13/206.50 | (3299) ~ (all_0_37_37 = e4)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 3299 yields:
% 264.13/206.50 | (2658) ~ (all_0_37_37 = e4)
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (1222), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (1229) all_0_32_32 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (1229) can reduce 727 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (727) ~ (all_0_32_32 = e4)
% 264.13/206.50 | (1232) all_0_37_37 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (1232) can reduce 2658 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (714) ~ (all_0_19_19 = e4)
% 264.13/206.50 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (715), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (685) all_0_24_24 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (685) can reduce 87 to:
% 264.13/206.50 | (714) ~ (all_0_19_19 = e4)
% 264.13/206.50 |
% 264.13/206.50 | Equations (685) can reduce 167 to:
% 264.13/206.50 | (496) ~ (all_0_20_20 = e4)
% 264.13/206.50 |
% 264.13/206.50 | Equations (685) can reduce 268 to:
% 264.13/206.50 | (576) ~ (all_0_22_22 = e4)
% 264.13/206.50 |
% 264.13/206.50 | Equations (685) can reduce 118 to:
% 264.13/206.50 | (578) ~ (all_0_23_23 = e4)
% 264.13/206.50 |
% 264.13/206.50 | Equations (685) can reduce 85 to:
% 264.13/206.50 | (2797) ~ (all_0_29_29 = e4)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 2797 yields:
% 264.13/206.50 | (724) ~ (all_0_29_29 = e4)
% 264.13/206.50 |
% 264.13/206.50 | From (685) and (8024) follows:
% 264.13/206.50 | (2158) op(e4, e1) = e0
% 264.13/206.50 |
% 264.13/206.50 | From (685) and (8025) follows:
% 264.13/206.50 | (8116) op(e1, e4) = e3
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (8), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (464) all_0_15_15 = e4
% 264.13/206.50 |
% 264.13/206.50 | Combining equations (464,476) yields a new equation:
% 264.13/206.50 | (955) e4 = e1
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 955 yields:
% 264.13/206.50 | (480) e4 = e1
% 264.13/206.50 |
% 264.13/206.50 | Equations (480) can reduce 65 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (460) ~ (all_0_15_15 = e4)
% 264.13/206.50 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (476) can reduce 460 to:
% 264.13/206.50 | (477) ~ (e4 = e1)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 477 yields:
% 264.13/206.50 | (65) ~ (e4 = e1)
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (225), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (711) all_0_19_19 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (711) can reduce 714 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (714) ~ (all_0_19_19 = e4)
% 264.13/206.50 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (192), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (663) all_0_19_19 = e2
% 264.13/206.50 |
% 264.13/206.50 | Equations (663) can reduce 2785 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (2785) ~ (all_0_19_19 = e2)
% 264.13/206.50 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (2786), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (1393) all_0_24_24 = e2
% 264.13/206.50 |
% 264.13/206.50 | Combining equations (685,1393) yields a new equation:
% 264.13/206.50 | (1111) e4 = e2
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 1111 yields:
% 264.13/206.50 | (539) e4 = e2
% 264.13/206.50 |
% 264.13/206.50 | Equations (539) can reduce 19 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (668) ~ (all_0_24_24 = e2)
% 264.13/206.50 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 264.13/206.50 |
% 264.13/206.50 | Equations (685) can reduce 668 to:
% 264.13/206.50 | (19) ~ (e4 = e2)
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (166), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (464) all_0_15_15 = e4
% 264.13/206.50 |
% 264.13/206.50 | Combining equations (464,476) yields a new equation:
% 264.13/206.50 | (955) e4 = e1
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 955 yields:
% 264.13/206.50 | (480) e4 = e1
% 264.13/206.50 |
% 264.13/206.50 | Equations (480) can reduce 65 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (460) ~ (all_0_15_15 = e4)
% 264.13/206.50 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (694), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (701) all_0_16_16 = e4
% 264.13/206.50 |
% 264.13/206.50 | Combining equations (701,697) yields a new equation:
% 264.13/206.50 | (1111) e4 = e2
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 1111 yields:
% 264.13/206.50 | (539) e4 = e2
% 264.13/206.50 |
% 264.13/206.50 | Equations (539) can reduce 19 to:
% 264.13/206.50 | (366) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (573) ~ (all_0_16_16 = e4)
% 264.13/206.50 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.13/206.50 |
% 264.13/206.50 | Equations (697) can reduce 573 to:
% 264.13/206.50 | (444) ~ (e4 = e2)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 444 yields:
% 264.13/206.50 | (19) ~ (e4 = e2)
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (2808), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (3024) ~ (op(e4, e1) = e0)
% 264.13/206.50 |
% 264.13/206.50 | Using (2158) and (3024) yields:
% 264.13/206.50 | (821) $false
% 264.13/206.50 |
% 264.13/206.50 |-The branch is then unsatisfiable
% 264.13/206.50 |-Branch two:
% 264.13/206.50 | (2158) op(e4, e1) = e0
% 264.13/206.50 | (1153) all_0_18_18 = e0
% 264.13/206.50 |
% 264.13/206.50 | Combining equations (1153,6638) yields a new equation:
% 264.13/206.50 | (6780) all_0_11_11 = e0
% 264.13/206.50 |
% 264.13/206.50 | Equations (1153) can reduce 74 to:
% 264.13/206.50 | (2422) ~ (all_0_17_17 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Equations (1153) can reduce 337 to:
% 264.13/206.50 | (5576) ~ (all_0_19_19 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 5576 yields:
% 264.13/206.50 | (381) ~ (all_0_19_19 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Equations (1153) can reduce 110 to:
% 264.13/206.50 | (7248) ~ (all_0_23_23 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 7248 yields:
% 264.13/206.50 | (1068) ~ (all_0_23_23 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Equations (1153) can reduce 419 to:
% 264.13/206.50 | (395) ~ (e1 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 395 yields:
% 264.13/206.50 | (37) ~ (e1 = e0)
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (4311), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (927) all_0_19_19 = e3
% 264.13/206.50 |
% 264.13/206.50 | Equations (927) can reduce 229 to:
% 264.13/206.50 | (897) ~ (all_0_29_29 = e3)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 897 yields:
% 264.13/206.50 | (898) ~ (all_0_29_29 = e3)
% 264.13/206.50 |
% 264.13/206.50 | Equations (927) can reduce 720 to:
% 264.13/206.50 | (318) ~ (e3 = e1)
% 264.13/206.50 |
% 264.13/206.50 | Equations (927) can reduce 381 to:
% 264.13/206.50 | (88) ~ (e3 = e0)
% 264.13/206.50 |
% 264.13/206.50 +-Applying beta-rule and splitting (241), into two cases.
% 264.13/206.50 |-Branch one:
% 264.13/206.50 | (1921) all_0_25_25 = e0
% 264.13/206.50 |
% 264.13/206.50 | Equations (1921) can reduce 95 to:
% 264.13/206.50 | (839) ~ (all_0_20_20 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Equations (1921) can reduce 98 to:
% 264.13/206.50 | (1895) ~ (all_0_35_35 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 1895 yields:
% 264.13/206.50 | (385) ~ (all_0_35_35 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Equations (1921) can reduce 501 to:
% 264.13/206.50 | (389) ~ (e4 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 389 yields:
% 264.13/206.50 | (287) ~ (e4 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Equations (1921) can reduce 646 to:
% 264.13/206.50 | (393) ~ (e2 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Simplifying 393 yields:
% 264.13/206.50 | (347) ~ (e2 = e0)
% 264.13/206.50 |
% 264.13/206.50 | Equations (1921) can reduce 946 to:
% 264.13/206.50 | (395) ~ (e1 = e0)
% 264.13/206.50 |
% 264.13/206.51 | Simplifying 395 yields:
% 264.13/206.51 | (37) ~ (e1 = e0)
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (231), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (1453) all_0_20_20 = e4
% 264.13/206.51 |
% 264.13/206.51 | Equations (1453) can reduce 496 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (496) ~ (all_0_20_20 = e4)
% 264.13/206.51 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (135), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (835) all_0_20_20 = e0
% 264.13/206.51 |
% 264.13/206.51 | Equations (835) can reduce 839 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (839) ~ (all_0_20_20 = e0)
% 264.13/206.51 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (2301), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (903) all_0_20_20 = e3
% 264.13/206.51 |
% 264.13/206.51 | Equations (903) can reduce 564 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (564) ~ (all_0_20_20 = e3)
% 264.13/206.51 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (240), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (865) all_0_17_17 = e4
% 264.13/206.51 |
% 264.13/206.51 | Equations (865) can reduce 1501 to:
% 264.13/206.51 | (65) ~ (e4 = e1)
% 264.13/206.51 |
% 264.13/206.51 | Equations (865) can reduce 2422 to:
% 264.13/206.51 | (287) ~ (e4 = e0)
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (222), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (823) all_0_17_17 = e0
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (865,823) yields a new equation:
% 264.13/206.51 | (842) e4 = e0
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 842 yields:
% 264.13/206.51 | (490) e4 = e0
% 264.13/206.51 |
% 264.13/206.51 | Equations (490) can reduce 287 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (2422) ~ (all_0_17_17 = e0)
% 264.13/206.51 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (5480), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (6808) all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 264.13/206.51 |
% 264.13/206.51 | Applying alpha-rule on (6808) yields:
% 264.13/206.51 | (6638) all_0_11_11 = all_0_18_18
% 264.13/206.51 | (1156) ~ (all_0_18_18 = e0)
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (6638,6780) yields a new equation:
% 264.13/206.51 | (6811) all_0_18_18 = e0
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 6811 yields:
% 264.13/206.51 | (1153) all_0_18_18 = e0
% 264.13/206.51 |
% 264.13/206.51 | Equations (1153) can reduce 1156 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (8208) all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10))
% 264.13/206.51 |
% 264.13/206.51 | Applying alpha-rule on (8208) yields:
% 264.13/206.51 | (6638) all_0_11_11 = all_0_18_18
% 264.13/206.51 | (8210) ( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (6638,6780) yields a new equation:
% 264.13/206.51 | (6811) all_0_18_18 = e0
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 6811 yields:
% 264.13/206.51 | (1153) all_0_18_18 = e0
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (2515), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (847) all_0_22_22 = e0
% 264.13/206.51 |
% 264.13/206.51 | Equations (847) can reduce 211 to:
% 264.13/206.51 | (839) ~ (all_0_20_20 = e0)
% 264.13/206.51 |
% 264.13/206.51 | Equations (847) can reduce 346 to:
% 264.13/206.51 | (7248) ~ (all_0_23_23 = e0)
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 7248 yields:
% 264.13/206.51 | (1068) ~ (all_0_23_23 = e0)
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (308), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (1175) all_0_20_20 = e1
% 264.13/206.51 |
% 264.13/206.51 | Equations (1175) can reduce 1409 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (1409) ~ (all_0_20_20 = e1)
% 264.13/206.51 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (4682), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (526) all_0_21_21 = e1
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (526,453) yields a new equation:
% 264.13/206.51 | (706) e3 = e1
% 264.13/206.51 |
% 264.13/206.51 | Equations (706) can reduce 318 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (363) ~ (all_0_21_21 = e1)
% 264.13/206.51 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (165), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (1161) all_0_35_35 = e4
% 264.13/206.51 |
% 264.13/206.51 | Equations (1161) can reduce 1177 to:
% 264.13/206.51 | (65) ~ (e4 = e1)
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (4688), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (999) all_0_22_22 = e1
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (847,999) yields a new equation:
% 264.13/206.51 | (961) e1 = e0
% 264.13/206.51 |
% 264.13/206.51 | Equations (961) can reduce 37 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (1018) ~ (all_0_22_22 = e1)
% 264.13/206.51 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (5033), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (3952) all_0_23_23 = e1
% 264.13/206.51 |
% 264.13/206.51 | Equations (3952) can reduce 86 to:
% 264.13/206.51 | (4011) ~ (all_0_28_28 = e1)
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 4011 yields:
% 264.13/206.51 | (421) ~ (all_0_28_28 = e1)
% 264.13/206.51 |
% 264.13/206.51 | Equations (3952) can reduce 578 to:
% 264.13/206.51 | (477) ~ (e4 = e1)
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 477 yields:
% 264.13/206.51 | (65) ~ (e4 = e1)
% 264.13/206.51 |
% 264.13/206.51 | Equations (3952) can reduce 1068 to:
% 264.13/206.51 | (37) ~ (e1 = e0)
% 264.13/206.51 |
% 264.13/206.51 | From (3952) and (8012) follows:
% 264.13/206.51 | (8239) op(e1, e0) = e1
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (126), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (950) all_0_25_25 = e1
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (1921,950) yields a new equation:
% 264.13/206.51 | (961) e1 = e0
% 264.13/206.51 |
% 264.13/206.51 | Equations (961) can reduce 37 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (946) ~ (all_0_25_25 = e1)
% 264.13/206.51 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (162), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (472) all_0_15_15 = e2
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (476,472) yields a new equation:
% 264.13/206.51 | (718) e2 = e1
% 264.13/206.51 |
% 264.13/206.51 | Equations (718) can reduce 329 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (447) ~ (all_0_15_15 = e2)
% 264.13/206.51 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 264.13/206.51 |
% 264.13/206.51 | Equations (476) can reduce 447 to:
% 264.13/206.51 | (1002) ~ (e2 = e1)
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 1002 yields:
% 264.13/206.51 | (329) ~ (e2 = e1)
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (2009), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (1005) all_0_26_26 = e1
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (1237,1005) yields a new equation:
% 264.13/206.51 | (955) e4 = e1
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 955 yields:
% 264.13/206.51 | (480) e4 = e1
% 264.13/206.51 |
% 264.13/206.51 | Equations (480) can reduce 65 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (1008) ~ (all_0_26_26 = e1)
% 264.13/206.51 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (2035), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (543) all_0_27_27 = e1
% 264.13/206.51 |
% 264.13/206.51 | Combining equations (443,543) yields a new equation:
% 264.13/206.51 | (717) e2 = e1
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 717 yields:
% 264.13/206.51 | (718) e2 = e1
% 264.13/206.51 |
% 264.13/206.51 | Equations (718) can reduce 329 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (402) ~ (all_0_27_27 = e1)
% 264.13/206.51 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (2041), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (1041) all_0_28_28 = e1
% 264.13/206.51 |
% 264.13/206.51 | Equations (1041) can reduce 421 to:
% 264.13/206.51 | (366) $false
% 264.13/206.51 |
% 264.13/206.51 |-The branch is then unsatisfiable
% 264.13/206.51 |-Branch two:
% 264.13/206.51 | (421) ~ (all_0_28_28 = e1)
% 264.13/206.51 | (945) all_0_29_29 = e1
% 264.13/206.51 |
% 264.13/206.51 | Equations (945) can reduce 41 to:
% 264.13/206.51 | (425) ~ (all_0_34_34 = e1)
% 264.13/206.51 |
% 264.13/206.51 | Simplifying 425 yields:
% 264.13/206.51 | (426) ~ (all_0_34_34 = e1)
% 264.13/206.51 |
% 264.13/206.51 +-Applying beta-rule and splitting (8029), into two cases.
% 264.13/206.51 |-Branch one:
% 264.13/206.51 | (8270) ~ (op(e1, e0) = e1)
% 264.13/206.51 |
% 264.13/206.52 | Using (8239) and (8270) yields:
% 264.13/206.52 | (821) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (8239) op(e1, e0) = e1
% 264.13/206.52 | (954) all_0_34_34 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (954) can reduce 426 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (420) ~ (all_0_23_23 = e1)
% 264.13/206.52 | (940) all_0_24_24 = e1
% 264.13/206.52 |
% 264.13/206.52 | Combining equations (685,940) yields a new equation:
% 264.13/206.52 | (955) e4 = e1
% 264.13/206.52 |
% 264.13/206.52 | Simplifying 955 yields:
% 264.13/206.52 | (480) e4 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (480) can reduce 65 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (514) ~ (all_0_35_35 = e4)
% 264.13/206.52 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (4688), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (999) all_0_22_22 = e1
% 264.13/206.52 |
% 264.13/206.52 | Combining equations (847,999) yields a new equation:
% 264.13/206.52 | (961) e1 = e0
% 264.13/206.52 |
% 264.13/206.52 | Equations (961) can reduce 37 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (1018) ~ (all_0_22_22 = e1)
% 264.13/206.52 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (847) can reduce 1018 to:
% 264.13/206.52 | (395) ~ (e1 = e0)
% 264.13/206.52 |
% 264.13/206.52 | Simplifying 395 yields:
% 264.13/206.52 | (37) ~ (e1 = e0)
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (1164), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (2611) all_0_36_36 = e4
% 264.13/206.52 |
% 264.13/206.52 | Combining equations (1015,2611) yields a new equation:
% 264.13/206.52 | (480) e4 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (480) can reduce 65 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (586) ~ (all_0_36_36 = e4)
% 264.13/206.52 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.13/206.52 |
% 264.13/206.52 | Equations (1015) can reduce 586 to:
% 264.13/206.52 | (477) ~ (e4 = e1)
% 264.13/206.52 |
% 264.13/206.52 | Simplifying 477 yields:
% 264.13/206.52 | (65) ~ (e4 = e1)
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (259), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (1278) all_0_18_18 = e1
% 264.13/206.52 |
% 264.13/206.52 | Combining equations (1153,1278) yields a new equation:
% 264.13/206.52 | (961) e1 = e0
% 264.13/206.52 |
% 264.13/206.52 | Equations (961) can reduce 37 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (419) ~ (all_0_18_18 = e1)
% 264.13/206.52 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (1153) can reduce 419 to:
% 264.13/206.52 | (395) ~ (e1 = e0)
% 264.13/206.52 |
% 264.13/206.52 | Simplifying 395 yields:
% 264.13/206.52 | (37) ~ (e1 = e0)
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (126), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (950) all_0_25_25 = e1
% 264.13/206.52 |
% 264.13/206.52 | Combining equations (1921,950) yields a new equation:
% 264.13/206.52 | (961) e1 = e0
% 264.13/206.52 |
% 264.13/206.52 | Equations (961) can reduce 37 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (946) ~ (all_0_25_25 = e1)
% 264.13/206.52 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (2009), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (1005) all_0_26_26 = e1
% 264.13/206.52 |
% 264.13/206.52 | Combining equations (1237,1005) yields a new equation:
% 264.13/206.52 | (955) e4 = e1
% 264.13/206.52 |
% 264.13/206.52 | Simplifying 955 yields:
% 264.13/206.52 | (480) e4 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (480) can reduce 65 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (1008) ~ (all_0_26_26 = e1)
% 264.13/206.52 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (1237) can reduce 1008 to:
% 264.13/206.52 | (65) ~ (e4 = e1)
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (2305), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (736) all_0_20_20 = e2
% 264.13/206.52 |
% 264.13/206.52 | Equations (736) can reduce 564 to:
% 264.13/206.52 | (658) ~ (e3 = e2)
% 264.13/206.52 |
% 264.13/206.52 | Simplifying 658 yields:
% 264.13/206.52 | (56) ~ (e3 = e2)
% 264.13/206.52 |
% 264.13/206.52 | From (736) and (7456) follows:
% 264.13/206.52 | (8318) op(e2, e2) = e3
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (7466), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (8319) ~ (op(e2, e2) = e3)
% 264.13/206.52 |
% 264.13/206.52 | Using (8318) and (8319) yields:
% 264.13/206.52 | (821) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (8318) op(e2, e2) = e3
% 264.13/206.52 | (764) e3 = e2
% 264.13/206.52 |
% 264.13/206.52 | Equations (764) can reduce 56 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (1114) ~ (all_0_20_20 = e2)
% 264.13/206.52 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (5033), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (3952) all_0_23_23 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (3952) can reduce 272 to:
% 264.13/206.52 | (1409) ~ (all_0_20_20 = e1)
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (2309), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (1175) all_0_20_20 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (1175) can reduce 1409 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (1409) ~ (all_0_20_20 = e1)
% 264.13/206.52 | (835) all_0_20_20 = e0
% 264.13/206.52 |
% 264.13/206.52 | Equations (835) can reduce 839 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (420) ~ (all_0_23_23 = e1)
% 264.13/206.52 | (940) all_0_24_24 = e1
% 264.13/206.52 |
% 264.13/206.52 | Combining equations (685,940) yields a new equation:
% 264.13/206.52 | (955) e4 = e1
% 264.13/206.52 |
% 264.13/206.52 | Simplifying 955 yields:
% 264.13/206.52 | (480) e4 = e1
% 264.13/206.52 |
% 264.13/206.52 | Equations (480) can reduce 65 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (826) ~ (all_0_22_22 = e0)
% 264.13/206.52 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (3101), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (546) all_0_27_27 = e0
% 264.13/206.52 |
% 264.13/206.52 | Combining equations (443,546) yields a new equation:
% 264.13/206.52 | (836) e2 = e0
% 264.13/206.52 |
% 264.13/206.52 | Simplifying 836 yields:
% 264.13/206.52 | (551) e2 = e0
% 264.13/206.52 |
% 264.13/206.52 | Equations (551) can reduce 347 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (434) ~ (all_0_27_27 = e0)
% 264.13/206.52 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (3107), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (1626) all_0_32_32 = e0
% 264.13/206.52 |
% 264.13/206.52 | Equations (1626) can reduce 1946 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (1946) ~ (all_0_32_32 = e0)
% 264.13/206.52 | (3111) all_0_37_37 = e0
% 264.13/206.52 |
% 264.13/206.52 | Equations (3111) can reduce 387 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (869) ~ (all_0_17_17 = e4)
% 264.13/206.52 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (914), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (1453) all_0_20_20 = e4
% 264.13/206.52 |
% 264.13/206.52 | Equations (1453) can reduce 496 to:
% 264.13/206.52 | (366) $false
% 264.13/206.52 |
% 264.13/206.52 |-The branch is then unsatisfiable
% 264.13/206.52 |-Branch two:
% 264.13/206.52 | (496) ~ (all_0_20_20 = e4)
% 264.13/206.52 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.13/206.52 |
% 264.13/206.52 +-Applying beta-rule and splitting (168), into two cases.
% 264.13/206.52 |-Branch one:
% 264.13/206.52 | (2438) all_0_25_25 = e3
% 264.13/206.52 |
% 264.13/206.53 | Combining equations (1921,2438) yields a new equation:
% 264.13/206.53 | (980) e3 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (980) can reduce 88 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (566) ~ (all_0_25_25 = e3)
% 264.13/206.53 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 264.13/206.53 |
% 264.13/206.53 | Equations (1921) can reduce 566 to:
% 264.13/206.53 | (391) ~ (e3 = e0)
% 264.13/206.53 |
% 264.13/206.53 | Simplifying 391 yields:
% 264.13/206.53 | (88) ~ (e3 = e0)
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (59), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (865) all_0_17_17 = e4
% 264.13/206.53 |
% 264.13/206.53 | Equations (865) can reduce 869 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (869) ~ (all_0_17_17 = e4)
% 264.13/206.53 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (840), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (529) all_0_21_21 = e0
% 264.13/206.53 |
% 264.13/206.53 | Combining equations (453,529) yields a new equation:
% 264.13/206.53 | (979) e3 = e0
% 264.13/206.53 |
% 264.13/206.53 | Simplifying 979 yields:
% 264.13/206.53 | (980) e3 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (980) can reduce 88 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (398) ~ (all_0_21_21 = e0)
% 264.13/206.53 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (846), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (847) all_0_22_22 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (847) can reduce 576 to:
% 264.13/206.53 | (389) ~ (e4 = e0)
% 264.13/206.53 |
% 264.13/206.53 | Simplifying 389 yields:
% 264.13/206.53 | (287) ~ (e4 = e0)
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (1456), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (1158) all_0_25_25 = e4
% 264.13/206.53 |
% 264.13/206.53 | Combining equations (1921,1158) yields a new equation:
% 264.13/206.53 | (490) e4 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (490) can reduce 287 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (501) ~ (all_0_25_25 = e4)
% 264.13/206.53 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (1460), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (768) all_0_30_30 = e4
% 264.13/206.53 |
% 264.13/206.53 | Equations (768) can reduce 509 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (509) ~ (all_0_30_30 = e4)
% 264.13/206.53 | (1161) all_0_35_35 = e4
% 264.13/206.53 |
% 264.13/206.53 | Equations (1161) can reduce 121 to:
% 264.13/206.53 | (3299) ~ (all_0_37_37 = e4)
% 264.13/206.53 |
% 264.13/206.53 | Simplifying 3299 yields:
% 264.13/206.53 | (2658) ~ (all_0_37_37 = e4)
% 264.13/206.53 |
% 264.13/206.53 | Equations (1161) can reduce 385 to:
% 264.13/206.53 | (287) ~ (e4 = e0)
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (271), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (1232) all_0_37_37 = e4
% 264.13/206.53 |
% 264.13/206.53 | Equations (1232) can reduce 2658 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (2658) ~ (all_0_37_37 = e4)
% 264.13/206.53 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (214), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (797) all_0_35_35 = e2
% 264.13/206.53 |
% 264.13/206.53 | Combining equations (797,1161) yields a new equation:
% 264.13/206.53 | (539) e4 = e2
% 264.13/206.53 |
% 264.13/206.53 | Equations (539) can reduce 19 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (742) ~ (all_0_35_35 = e2)
% 264.13/206.53 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 264.13/206.53 |
% 264.13/206.53 | Equations (1161) can reduce 742 to:
% 264.13/206.53 | (19) ~ (e4 = e2)
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (261), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (1229) all_0_32_32 = e4
% 264.13/206.53 |
% 264.13/206.53 | Equations (1229) can reduce 727 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (727) ~ (all_0_32_32 = e4)
% 264.13/206.53 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (1148), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (831) all_0_22_22 = e4
% 264.13/206.53 |
% 264.13/206.53 | Combining equations (831,847) yields a new equation:
% 264.13/206.53 | (842) e4 = e0
% 264.13/206.53 |
% 264.13/206.53 | Simplifying 842 yields:
% 264.13/206.53 | (490) e4 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (490) can reduce 287 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (576) ~ (all_0_22_22 = e4)
% 264.13/206.53 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (1152), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (435) all_0_27_27 = e4
% 264.13/206.53 |
% 264.13/206.53 | Combining equations (443,435) yields a new equation:
% 264.13/206.53 | (539) e4 = e2
% 264.13/206.53 |
% 264.13/206.53 | Equations (539) can reduce 19 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (404) ~ (all_0_27_27 = e4)
% 264.13/206.53 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (1222), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (1229) all_0_32_32 = e4
% 264.13/206.53 |
% 264.13/206.53 | Equations (1229) can reduce 727 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (727) ~ (all_0_32_32 = e4)
% 264.13/206.53 | (1232) all_0_37_37 = e4
% 264.13/206.53 |
% 264.13/206.53 | Equations (1232) can reduce 2658 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (826) ~ (all_0_22_22 = e0)
% 264.13/206.53 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (850), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (851) all_0_23_23 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (851) can reduce 1068 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (1068) ~ (all_0_23_23 = e0)
% 264.13/206.53 | (1069) all_0_24_24 = e0
% 264.13/206.53 |
% 264.13/206.53 | Combining equations (685,1069) yields a new equation:
% 264.13/206.53 | (842) e4 = e0
% 264.13/206.53 |
% 264.13/206.53 | Simplifying 842 yields:
% 264.13/206.53 | (490) e4 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (490) can reduce 287 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (1925) ~ (all_0_25_25 = e0)
% 264.13/206.53 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (357), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (1250) all_0_29_29 = e4
% 264.13/206.53 |
% 264.13/206.53 | Equations (1250) can reduce 724 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (724) ~ (all_0_29_29 = e4)
% 264.13/206.53 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (206), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (483) all_0_15_15 = e0
% 264.13/206.53 |
% 264.13/206.53 | Combining equations (483,476) yields a new equation:
% 264.13/206.53 | (961) e1 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (961) can reduce 37 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (463) ~ (all_0_15_15 = e0)
% 264.13/206.53 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (2812), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (1023) all_0_29_29 = e3
% 264.13/206.53 |
% 264.13/206.53 | Equations (1023) can reduce 898 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (898) ~ (all_0_29_29 = e3)
% 264.13/206.53 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (1889), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (835) all_0_20_20 = e0
% 264.13/206.53 |
% 264.13/206.53 | From (835) and (7456) follows:
% 264.13/206.53 | (8444) op(e2, e0) = e3
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (7467), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (8445) ~ (op(e2, e0) = e3)
% 264.13/206.53 |
% 264.13/206.53 | Using (8444) and (8445) yields:
% 264.13/206.53 | (821) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (8444) op(e2, e0) = e3
% 264.13/206.53 | (1023) all_0_29_29 = e3
% 264.13/206.53 |
% 264.13/206.53 | Equations (1023) can reduce 898 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (839) ~ (all_0_20_20 = e0)
% 264.13/206.53 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (1920), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (1921) all_0_25_25 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (1921) can reduce 1925 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (1925) ~ (all_0_25_25 = e0)
% 264.13/206.53 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (1938), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (790) all_0_30_30 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (790) can reduce 1878 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (1878) ~ (all_0_30_30 = e0)
% 264.13/206.53 | (1203) all_0_35_35 = e0
% 264.13/206.53 |
% 264.13/206.53 | Equations (1203) can reduce 385 to:
% 264.13/206.53 | (366) $false
% 264.13/206.53 |
% 264.13/206.53 |-The branch is then unsatisfiable
% 264.13/206.53 |-Branch two:
% 264.13/206.53 | (562) ~ (all_0_19_19 = e3)
% 264.13/206.53 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.13/206.53 |
% 264.13/206.53 +-Applying beta-rule and splitting (8032), into two cases.
% 264.13/206.53 |-Branch one:
% 264.13/206.53 | (8463) ~ (op(e1, e4) = e3)
% 264.13/206.53 |
% 264.13/206.54 | Using (8116) and (8463) yields:
% 264.13/206.54 | (821) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (8116) op(e1, e4) = e3
% 264.13/206.54 | (759) all_0_30_30 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (759) can reduce 58 to:
% 264.13/206.54 | (566) ~ (all_0_25_25 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Equations (759) can reduce 186 to:
% 264.13/206.54 | (6619) ~ (all_0_32_32 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 6619 yields:
% 264.13/206.54 | (1089) ~ (all_0_32_32 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Equations (759) can reduce 15 to:
% 264.13/206.54 | (2981) ~ (all_0_34_34 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 2981 yields:
% 264.13/206.54 | (1031) ~ (all_0_34_34 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Equations (759) can reduce 509 to:
% 264.13/206.54 | (695) ~ (e4 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 695 yields:
% 264.13/206.54 | (277) ~ (e4 = e3)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (230), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (927) all_0_19_19 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (927) can reduce 562 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (562) ~ (all_0_19_19 = e3)
% 264.13/206.54 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (245), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1158) all_0_25_25 = e4
% 264.13/206.54 |
% 264.13/206.54 | Equations (1158) can reduce 501 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (501) ~ (all_0_25_25 = e4)
% 264.13/206.54 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (261), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1229) all_0_32_32 = e4
% 264.13/206.54 |
% 264.13/206.54 | Equations (1229) can reduce 727 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (727) ~ (all_0_32_32 = e4)
% 264.13/206.54 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (1506), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (772) all_0_32_32 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (772) can reduce 1089 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (1089) ~ (all_0_32_32 = e3)
% 264.13/206.54 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (1618), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1101) all_0_32_32 = e2
% 264.13/206.54 |
% 264.13/206.54 | Equations (1101) can reduce 508 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (508) ~ (all_0_32_32 = e2)
% 264.13/206.54 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (1622), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1587) all_0_32_32 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (1587) can reduce 199 to:
% 264.13/206.54 | (425) ~ (all_0_34_34 = e1)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 425 yields:
% 264.13/206.54 | (426) ~ (all_0_34_34 = e1)
% 264.13/206.54 |
% 264.13/206.54 | Equations (1587) can reduce 336 to:
% 264.13/206.54 | (2561) ~ (all_0_37_37 = e1)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 2561 yields:
% 264.13/206.54 | (2562) ~ (all_0_37_37 = e1)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (241), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1921) all_0_25_25 = e0
% 264.13/206.54 |
% 264.13/206.54 | Equations (1921) can reduce 193 to:
% 264.13/206.54 | (885) ~ (all_0_28_28 = e0)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 885 yields:
% 264.13/206.54 | (886) ~ (all_0_28_28 = e0)
% 264.13/206.54 |
% 264.13/206.54 | Equations (1921) can reduce 62 to:
% 264.13/206.54 | (3455) ~ (all_0_29_29 = e0)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 3455 yields:
% 264.13/206.54 | (383) ~ (all_0_29_29 = e0)
% 264.13/206.54 |
% 264.13/206.54 | Equations (1921) can reduce 566 to:
% 264.13/206.54 | (391) ~ (e3 = e0)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 391 yields:
% 264.13/206.54 | (88) ~ (e3 = e0)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (308), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1175) all_0_20_20 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (1175) can reduce 1409 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (1409) ~ (all_0_20_20 = e1)
% 264.13/206.54 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (32), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (716) all_0_19_19 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (716) can reduce 720 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (720) ~ (all_0_19_19 = e1)
% 264.13/206.54 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (931), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (939) all_0_24_24 = e3
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (685,939) yields a new equation:
% 264.13/206.54 | (690) e4 = e3
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 690 yields:
% 264.13/206.54 | (691) e4 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (691) can reduce 277 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (963) ~ (all_0_24_24 = e3)
% 264.13/206.54 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (964), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1023) all_0_29_29 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (1023) can reduce 73 to:
% 264.13/206.54 | (1035) ~ (all_0_28_28 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Equations (1023) can reduce 724 to:
% 264.13/206.54 | (695) ~ (e4 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 695 yields:
% 264.13/206.54 | (277) ~ (e4 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Equations (1023) can reduce 383 to:
% 264.13/206.54 | (88) ~ (e3 = e0)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (269), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1134) all_0_18_18 = e3
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (1153,1134) yields a new equation:
% 264.13/206.54 | (980) e3 = e0
% 264.13/206.54 |
% 264.13/206.54 | Equations (980) can reduce 88 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (560) ~ (all_0_18_18 = e3)
% 264.13/206.54 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (1137), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (978) all_0_23_23 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (978) can reduce 982 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (982) ~ (all_0_23_23 = e3)
% 264.13/206.54 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (338), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (892) all_0_28_28 = e4
% 264.13/206.54 |
% 264.13/206.54 | Equations (892) can reduce 890 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (890) ~ (all_0_28_28 = e4)
% 264.13/206.54 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (895), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (896) all_0_28_28 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (896) can reduce 1035 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (1035) ~ (all_0_28_28 = e3)
% 264.13/206.54 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (1036), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1037) all_0_28_28 = e2
% 264.13/206.54 |
% 264.13/206.54 | Equations (1037) can reduce 649 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (649) ~ (all_0_28_28 = e2)
% 264.13/206.54 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (1040), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1041) all_0_28_28 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (1041) can reduce 198 to:
% 264.13/206.54 | (427) ~ (all_0_38_38 = e1)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 427 yields:
% 264.13/206.54 | (428) ~ (all_0_38_38 = e1)
% 264.13/206.54 |
% 264.13/206.54 | Equations (1041) can reduce 1035 to:
% 264.13/206.54 | (429) ~ (e3 = e1)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 429 yields:
% 264.13/206.54 | (318) ~ (e3 = e1)
% 264.13/206.54 |
% 264.13/206.54 | Equations (1041) can reduce 886 to:
% 264.13/206.54 | (37) ~ (e1 = e0)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (3084), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (896) all_0_28_28 = e3
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (1041,896) yields a new equation:
% 264.13/206.54 | (706) e3 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (706) can reduce 318 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (1035) ~ (all_0_28_28 = e3)
% 264.13/206.54 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (3089), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (410) all_0_33_33 = e3
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (406,410) yields a new equation:
% 264.13/206.54 | (690) e4 = e3
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 690 yields:
% 264.13/206.54 | (691) e4 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (691) can reduce 277 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (403) ~ (all_0_33_33 = e3)
% 264.13/206.54 | (1077) all_0_38_38 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (1077) can reduce 354 to:
% 264.13/206.54 | (777) ~ (all_0_37_37 = e3)
% 264.13/206.54 |
% 264.13/206.54 | Equations (1077) can reduce 428 to:
% 264.13/206.54 | (318) ~ (e3 = e1)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (271), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1232) all_0_37_37 = e4
% 264.13/206.54 |
% 264.13/206.54 | Equations (1232) can reduce 2562 to:
% 264.13/206.54 | (65) ~ (e4 = e1)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (72), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (468) all_0_15_15 = e3
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (476,468) yields a new equation:
% 264.13/206.54 | (706) e3 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (706) can reduce 318 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (433) ~ (all_0_15_15 = e3)
% 264.13/206.54 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (476) can reduce 433 to:
% 264.13/206.54 | (429) ~ (e3 = e1)
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 429 yields:
% 264.13/206.54 | (318) ~ (e3 = e1)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (4682), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (526) all_0_21_21 = e1
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (453,526) yields a new equation:
% 264.13/206.54 | (933) e3 = e1
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 933 yields:
% 264.13/206.54 | (706) e3 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (706) can reduce 318 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (363) ~ (all_0_21_21 = e1)
% 264.13/206.54 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (453) can reduce 363 to:
% 264.13/206.54 | (318) ~ (e3 = e1)
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (721), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (940) all_0_24_24 = e1
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (685,940) yields a new equation:
% 264.13/206.54 | (955) e4 = e1
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 955 yields:
% 264.13/206.54 | (480) e4 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (480) can reduce 65 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (943) ~ (all_0_24_24 = e1)
% 264.13/206.54 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (944), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (945) all_0_29_29 = e1
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (1023,945) yields a new equation:
% 264.13/206.54 | (933) e3 = e1
% 264.13/206.54 |
% 264.13/206.54 | Simplifying 933 yields:
% 264.13/206.54 | (706) e3 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (706) can reduce 318 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (952) ~ (all_0_29_29 = e1)
% 264.13/206.54 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (953), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (954) all_0_34_34 = e1
% 264.13/206.54 |
% 264.13/206.54 | Equations (954) can reduce 426 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (426) ~ (all_0_34_34 = e1)
% 264.13/206.54 | (377) all_0_39_39 = e1
% 264.13/206.54 |
% 264.13/206.54 | Combining equations (380,377) yields a new equation:
% 264.13/206.54 | (961) e1 = e0
% 264.13/206.54 |
% 264.13/206.54 | Equations (961) can reduce 37 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (2658) ~ (all_0_37_37 = e4)
% 264.13/206.54 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (3872), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1073) all_0_37_37 = e3
% 264.13/206.54 |
% 264.13/206.54 | Equations (1073) can reduce 777 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (777) ~ (all_0_37_37 = e3)
% 264.13/206.54 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (3886), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (805) all_0_37_37 = e2
% 264.13/206.54 |
% 264.13/206.54 | Equations (805) can reduce 515 to:
% 264.13/206.54 | (366) $false
% 264.13/206.54 |
% 264.13/206.54 |-The branch is then unsatisfiable
% 264.13/206.54 |-Branch two:
% 264.13/206.54 | (515) ~ (all_0_37_37 = e2)
% 264.13/206.54 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 264.13/206.54 |
% 264.13/206.54 +-Applying beta-rule and splitting (3890), into two cases.
% 264.13/206.54 |-Branch one:
% 264.13/206.54 | (1590) all_0_37_37 = e1
% 264.13/206.54 |
% 264.13/206.55 | Equations (1590) can reduce 2562 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (2562) ~ (all_0_37_37 = e1)
% 264.13/206.55 | (3111) all_0_37_37 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (3111) can reduce 387 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (421) ~ (all_0_28_28 = e1)
% 264.13/206.55 | (1044) all_0_28_28 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (1044) can reduce 886 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (898) ~ (all_0_29_29 = e3)
% 264.13/206.55 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (1026), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (1027) all_0_34_34 = e3
% 264.13/206.55 |
% 264.13/206.55 | Equations (1027) can reduce 1031 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (1031) ~ (all_0_34_34 = e3)
% 264.13/206.55 | (369) all_0_39_39 = e3
% 264.13/206.55 |
% 264.13/206.55 | Combining equations (369,380) yields a new equation:
% 264.13/206.55 | (979) e3 = e0
% 264.13/206.55 |
% 264.13/206.55 | Simplifying 979 yields:
% 264.13/206.55 | (980) e3 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (980) can reduce 88 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (1925) ~ (all_0_25_25 = e0)
% 264.13/206.55 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (3136), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (2438) all_0_25_25 = e3
% 264.13/206.55 |
% 264.13/206.55 | Equations (2438) can reduce 566 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (566) ~ (all_0_25_25 = e3)
% 264.13/206.55 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (3158), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (3159) all_0_25_25 = e2
% 264.13/206.55 |
% 264.13/206.55 | Equations (3159) can reduce 646 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (646) ~ (all_0_25_25 = e2)
% 264.13/206.55 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (3162), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (950) all_0_25_25 = e1
% 264.13/206.55 |
% 264.13/206.55 | Equations (950) can reduce 946 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (946) ~ (all_0_25_25 = e1)
% 264.13/206.55 | (1921) all_0_25_25 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (1921) can reduce 1925 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (424) ~ (all_0_32_32 = e1)
% 264.13/206.55 | (1626) all_0_32_32 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (1626) can reduce 1946 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (580) ~ (all_0_24_24 = e4)
% 264.13/206.55 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (1400), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (1250) all_0_29_29 = e4
% 264.13/206.55 |
% 264.13/206.55 | Equations (1250) can reduce 724 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (724) ~ (all_0_29_29 = e4)
% 264.13/206.55 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (225), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (711) all_0_19_19 = e4
% 264.13/206.55 |
% 264.13/206.55 | Equations (711) can reduce 714 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (714) ~ (all_0_19_19 = e4)
% 264.13/206.55 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (166), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (464) all_0_15_15 = e4
% 264.13/206.55 |
% 264.13/206.55 | Combining equations (464,476) yields a new equation:
% 264.13/206.55 | (955) e4 = e1
% 264.13/206.55 |
% 264.13/206.55 | Simplifying 955 yields:
% 264.13/206.55 | (480) e4 = e1
% 264.13/206.55 |
% 264.13/206.55 | Equations (480) can reduce 65 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (460) ~ (all_0_15_15 = e4)
% 264.13/206.55 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (694), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (701) all_0_16_16 = e4
% 264.13/206.55 |
% 264.13/206.55 | Combining equations (701,697) yields a new equation:
% 264.13/206.55 | (1111) e4 = e2
% 264.13/206.55 |
% 264.13/206.55 | Simplifying 1111 yields:
% 264.13/206.55 | (539) e4 = e2
% 264.13/206.55 |
% 264.13/206.55 | Equations (539) can reduce 19 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (573) ~ (all_0_16_16 = e4)
% 264.13/206.55 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (864), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (865) all_0_17_17 = e4
% 264.13/206.55 |
% 264.13/206.55 | Equations (865) can reduce 333 to:
% 264.13/206.55 | (6514) ~ (all_0_19_19 = e4)
% 264.13/206.55 |
% 264.13/206.55 | Simplifying 6514 yields:
% 264.13/206.55 | (714) ~ (all_0_19_19 = e4)
% 264.13/206.55 |
% 264.13/206.55 | Equations (865) can reduce 184 to:
% 264.13/206.55 | (575) ~ (all_0_22_22 = e4)
% 264.13/206.55 |
% 264.13/206.55 | Simplifying 575 yields:
% 264.13/206.55 | (576) ~ (all_0_22_22 = e4)
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (222), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (823) all_0_17_17 = e0
% 264.13/206.55 |
% 264.13/206.55 | Combining equations (823,865) yields a new equation:
% 264.13/206.55 | (490) e4 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (490) can reduce 287 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (2422) ~ (all_0_17_17 = e0)
% 264.13/206.55 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (865) can reduce 2422 to:
% 264.13/206.55 | (287) ~ (e4 = e0)
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (4311), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (927) all_0_19_19 = e3
% 264.13/206.55 |
% 264.13/206.55 | Equations (927) can reduce 714 to:
% 264.13/206.55 | (695) ~ (e4 = e3)
% 264.13/206.55 |
% 264.13/206.55 | Simplifying 695 yields:
% 264.13/206.55 | (277) ~ (e4 = e3)
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (256), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (1453) all_0_20_20 = e4
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (135), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (835) all_0_20_20 = e0
% 264.13/206.55 |
% 264.13/206.55 | Combining equations (1453,835) yields a new equation:
% 264.13/206.55 | (842) e4 = e0
% 264.13/206.55 |
% 264.13/206.55 | Simplifying 842 yields:
% 264.13/206.55 | (490) e4 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (490) can reduce 287 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (839) ~ (all_0_20_20 = e0)
% 264.13/206.55 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (1453) can reduce 839 to:
% 264.13/206.55 | (287) ~ (e4 = e0)
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (1735), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (723) all_0_34_34 = e4
% 264.13/206.55 |
% 264.13/206.55 | Equations (723) can reduce 1395 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (1395) ~ (all_0_34_34 = e4)
% 264.13/206.55 | (365) all_0_39_39 = e4
% 264.13/206.55 |
% 264.13/206.55 | Combining equations (365,380) yields a new equation:
% 264.13/206.55 | (842) e4 = e0
% 264.13/206.55 |
% 264.13/206.55 | Simplifying 842 yields:
% 264.13/206.55 | (490) e4 = e0
% 264.13/206.55 |
% 264.13/206.55 | Equations (490) can reduce 287 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (496) ~ (all_0_20_20 = e4)
% 264.13/206.55 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (7219), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (449) all_0_21_21 = e4
% 264.13/206.55 |
% 264.13/206.55 | Combining equations (453,449) yields a new equation:
% 264.13/206.55 | (691) e4 = e3
% 264.13/206.55 |
% 264.13/206.55 | Equations (691) can reduce 277 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (448) ~ (all_0_21_21 = e4)
% 264.13/206.55 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (7224), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (831) all_0_22_22 = e4
% 264.13/206.55 |
% 264.13/206.55 | Equations (831) can reduce 576 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (576) ~ (all_0_22_22 = e4)
% 264.13/206.55 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 264.13/206.55 |
% 264.13/206.55 +-Applying beta-rule and splitting (7426), into two cases.
% 264.13/206.55 |-Branch one:
% 264.13/206.55 | (1515) all_0_23_23 = e4
% 264.13/206.55 |
% 264.13/206.55 | Equations (1515) can reduce 578 to:
% 264.13/206.55 | (366) $false
% 264.13/206.55 |
% 264.13/206.55 |-The branch is then unsatisfiable
% 264.13/206.55 |-Branch two:
% 264.13/206.55 | (578) ~ (all_0_23_23 = e4)
% 264.13/206.56 | (685) all_0_24_24 = e4
% 264.13/206.56 |
% 264.13/206.56 | Equations (685) can reduce 580 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (562) ~ (all_0_19_19 = e3)
% 264.13/206.56 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (4315), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (663) all_0_19_19 = e2
% 264.13/206.56 |
% 264.13/206.56 | Equations (663) can reduce 2785 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (2785) ~ (all_0_19_19 = e2)
% 264.13/206.56 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (4319), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (716) all_0_19_19 = e1
% 264.13/206.56 |
% 264.13/206.56 | Equations (716) can reduce 720 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (720) ~ (all_0_19_19 = e1)
% 264.13/206.56 | (2703) all_0_19_19 = e0
% 264.13/206.56 |
% 264.13/206.56 | Equations (2703) can reduce 381 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (869) ~ (all_0_17_17 = e4)
% 264.13/206.56 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (870), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (887) all_0_18_18 = e4
% 264.13/206.56 |
% 264.13/206.56 | Equations (887) can reduce 1046 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (1046) ~ (all_0_18_18 = e4)
% 264.13/206.56 | (711) all_0_19_19 = e4
% 264.13/206.56 |
% 264.13/206.56 | Equations (711) can reduce 714 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (8729) all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4))
% 264.13/206.56 |
% 264.13/206.56 | Applying alpha-rule on (8729) yields:
% 264.13/206.56 | (8027) all_0_5_5 = all_0_30_30
% 264.13/206.56 | (8731) ( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)
% 264.13/206.56 |
% 264.13/206.56 | Instantiating formula (97) with e0, e4, e2, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 264.13/206.56 | (8732) all_0_35_35 = e2 | ~ (op(e0, e4) = e2)
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (126), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (950) all_0_25_25 = e1
% 264.13/206.56 |
% 264.13/206.56 | Equations (950) can reduce 946 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (946) ~ (all_0_25_25 = e1)
% 264.13/206.56 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (8), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (464) all_0_15_15 = e4
% 264.13/206.56 |
% 264.13/206.56 | Combining equations (464,476) yields a new equation:
% 264.13/206.56 | (955) e4 = e1
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 955 yields:
% 264.13/206.56 | (480) e4 = e1
% 264.13/206.56 |
% 264.13/206.56 | Equations (480) can reduce 65 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (460) ~ (all_0_15_15 = e4)
% 264.13/206.56 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.13/206.56 |
% 264.13/206.56 | Equations (476) can reduce 460 to:
% 264.13/206.56 | (477) ~ (e4 = e1)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 477 yields:
% 264.13/206.56 | (65) ~ (e4 = e1)
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (165), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (1161) all_0_35_35 = e4
% 264.13/206.56 |
% 264.13/206.56 | Equations (1161) can reduce 98 to:
% 264.13/206.56 | (501) ~ (all_0_25_25 = e4)
% 264.13/206.56 |
% 264.13/206.56 | Equations (1161) can reduce 121 to:
% 264.13/206.56 | (3299) ~ (all_0_37_37 = e4)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 3299 yields:
% 264.13/206.56 | (2658) ~ (all_0_37_37 = e4)
% 264.13/206.56 |
% 264.13/206.56 | Equations (1161) can reduce 173 to:
% 264.13/206.56 | (1142) ~ (all_0_38_38 = e4)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 1142 yields:
% 264.13/206.56 | (1143) ~ (all_0_38_38 = e4)
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (271), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (1232) all_0_37_37 = e4
% 264.13/206.56 |
% 264.13/206.56 | Equations (1232) can reduce 2658 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (2658) ~ (all_0_37_37 = e4)
% 264.13/206.56 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (214), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (797) all_0_35_35 = e2
% 264.13/206.56 |
% 264.13/206.56 | Combining equations (797,1161) yields a new equation:
% 264.13/206.56 | (539) e4 = e2
% 264.13/206.56 |
% 264.13/206.56 | Equations (539) can reduce 19 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (742) ~ (all_0_35_35 = e2)
% 264.13/206.56 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (3872), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (1073) all_0_37_37 = e3
% 264.13/206.56 |
% 264.13/206.56 | Equations (1073) can reduce 336 to:
% 264.13/206.56 | (1089) ~ (all_0_32_32 = e3)
% 264.13/206.56 |
% 264.13/206.56 | Equations (1073) can reduce 354 to:
% 264.13/206.56 | (2070) ~ (all_0_38_38 = e3)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 2070 yields:
% 264.13/206.56 | (1080) ~ (all_0_38_38 = e3)
% 264.13/206.56 |
% 264.13/206.56 | Equations (1073) can reduce 2658 to:
% 264.13/206.56 | (695) ~ (e4 = e3)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 695 yields:
% 264.13/206.56 | (277) ~ (e4 = e3)
% 264.13/206.56 |
% 264.13/206.56 | Equations (1073) can reduce 515 to:
% 264.13/206.56 | (56) ~ (e3 = e2)
% 264.13/206.56 |
% 264.13/206.56 | Equations (1073) can reduce 387 to:
% 264.13/206.56 | (88) ~ (e3 = e0)
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (800), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (801) all_0_36_36 = e2
% 264.13/206.56 |
% 264.13/206.56 | Combining equations (1015,801) yields a new equation:
% 264.13/206.56 | (718) e2 = e1
% 264.13/206.56 |
% 264.13/206.56 | Equations (718) can reduce 329 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (756) ~ (all_0_36_36 = e2)
% 264.13/206.56 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (804), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (805) all_0_37_37 = e2
% 264.13/206.56 |
% 264.13/206.56 | Combining equations (1073,805) yields a new equation:
% 264.13/206.56 | (3874) e3 = e2
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 3874 yields:
% 264.13/206.56 | (764) e3 = e2
% 264.13/206.56 |
% 264.13/206.56 | Equations (764) can reduce 56 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (515) ~ (all_0_37_37 = e2)
% 264.13/206.56 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (808), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (809) all_0_38_38 = e2
% 264.13/206.56 |
% 264.13/206.56 | Equations (809) can reduce 1143 to:
% 264.13/206.56 | (444) ~ (e4 = e2)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 444 yields:
% 264.13/206.56 | (19) ~ (e4 = e2)
% 264.13/206.56 |
% 264.13/206.56 | Equations (809) can reduce 1080 to:
% 264.13/206.56 | (658) ~ (e3 = e2)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 658 yields:
% 264.13/206.56 | (56) ~ (e3 = e2)
% 264.13/206.56 |
% 264.13/206.56 | Equations (809) can reduce 388 to:
% 264.13/206.56 | (347) ~ (e2 = e0)
% 264.13/206.56 |
% 264.13/206.56 | From (809) and (181) follows:
% 264.13/206.56 | (8785) op(all_0_34_34, e2) = e0
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (261), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (1229) all_0_32_32 = e4
% 264.13/206.56 |
% 264.13/206.56 | Equations (1229) can reduce 727 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (727) ~ (all_0_32_32 = e4)
% 264.13/206.56 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (1506), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (772) all_0_32_32 = e3
% 264.13/206.56 |
% 264.13/206.56 | Equations (772) can reduce 1089 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (1089) ~ (all_0_32_32 = e3)
% 264.13/206.56 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (1618), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (1101) all_0_32_32 = e2
% 264.13/206.56 |
% 264.13/206.56 | Equations (1101) can reduce 508 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (508) ~ (all_0_32_32 = e2)
% 264.13/206.56 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (1622), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (1587) all_0_32_32 = e1
% 264.13/206.56 |
% 264.13/206.56 | Equations (1587) can reduce 1089 to:
% 264.13/206.56 | (429) ~ (e3 = e1)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 429 yields:
% 264.13/206.56 | (318) ~ (e3 = e1)
% 264.13/206.56 |
% 264.13/206.56 | Equations (1587) can reduce 508 to:
% 264.13/206.56 | (1002) ~ (e2 = e1)
% 264.13/206.56 |
% 264.13/206.56 | Simplifying 1002 yields:
% 264.13/206.56 | (329) ~ (e2 = e1)
% 264.13/206.56 |
% 264.13/206.56 | Instantiating formula (97) with e3, e2, e0, all_0_22_22 and discharging atoms op(e3, e2) = all_0_22_22, yields:
% 264.13/206.56 | (8803) all_0_22_22 = e0 | ~ (op(e3, e2) = e0)
% 264.13/206.56 |
% 264.13/206.56 | Instantiating formula (97) with e2, e2, e0, e2 and discharging atoms op(e2, e2) = e2, yields:
% 264.13/206.56 | (684) e2 = e0 | ~ (op(e2, e2) = e0)
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (155), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (759) all_0_30_30 = e3
% 264.13/206.56 |
% 264.13/206.56 | Combining equations (759,8027) yields a new equation:
% 264.13/206.56 | (8806) all_0_5_5 = e3
% 264.13/206.56 |
% 264.13/206.56 | Equations (759) can reduce 58 to:
% 264.13/206.56 | (566) ~ (all_0_25_25 = e3)
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (245), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (1158) all_0_25_25 = e4
% 264.13/206.56 |
% 264.13/206.56 | Equations (1158) can reduce 501 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (501) ~ (all_0_25_25 = e4)
% 264.13/206.56 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 264.13/206.56 |
% 264.13/206.56 +-Applying beta-rule and splitting (3136), into two cases.
% 264.13/206.56 |-Branch one:
% 264.13/206.56 | (2438) all_0_25_25 = e3
% 264.13/206.56 |
% 264.13/206.56 | Equations (2438) can reduce 566 to:
% 264.13/206.56 | (366) $false
% 264.13/206.56 |
% 264.13/206.56 |-The branch is then unsatisfiable
% 264.13/206.56 |-Branch two:
% 264.13/206.56 | (566) ~ (all_0_25_25 = e3)
% 264.13/206.56 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (3158), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (3159) all_0_25_25 = e2
% 264.13/206.57 |
% 264.13/206.57 | Equations (3159) can reduce 646 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (646) ~ (all_0_25_25 = e2)
% 264.13/206.57 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (5521), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (8820) all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 264.13/206.57 |
% 264.13/206.57 | Applying alpha-rule on (8820) yields:
% 264.13/206.57 | (8027) all_0_5_5 = all_0_30_30
% 264.13/206.57 | (568) ~ (all_0_30_30 = e3)
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (8027,8806) yields a new equation:
% 264.13/206.57 | (8823) all_0_30_30 = e3
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 8823 yields:
% 264.13/206.57 | (759) all_0_30_30 = e3
% 264.13/206.57 |
% 264.13/206.57 | Equations (759) can reduce 568 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (8826) all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4))
% 264.13/206.57 |
% 264.13/206.57 | Applying alpha-rule on (8826) yields:
% 264.13/206.57 | (8027) all_0_5_5 = all_0_30_30
% 264.13/206.57 | (8828) ( ~ (all_0_3_3 = e0) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (8027,8806) yields a new equation:
% 264.13/206.57 | (8823) all_0_30_30 = e3
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 8823 yields:
% 264.13/206.57 | (759) all_0_30_30 = e3
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (215), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (747) all_0_30_30 = e2
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (759,747) yields a new equation:
% 264.13/206.57 | (3874) e3 = e2
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 3874 yields:
% 264.13/206.57 | (764) e3 = e2
% 264.13/206.57 |
% 264.13/206.57 | Equations (764) can reduce 56 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (740) ~ (all_0_30_30 = e2)
% 264.13/206.57 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (162), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (472) all_0_15_15 = e2
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (476,472) yields a new equation:
% 264.13/206.57 | (718) e2 = e1
% 264.13/206.57 |
% 264.13/206.57 | Equations (718) can reduce 329 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (447) ~ (all_0_15_15 = e2)
% 264.13/206.57 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 264.13/206.57 |
% 264.13/206.57 | Equations (476) can reduce 447 to:
% 264.13/206.57 | (1002) ~ (e2 = e1)
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 1002 yields:
% 264.13/206.57 | (329) ~ (e2 = e1)
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (750), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (751) all_0_31_31 = e2
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (1060,751) yields a new equation:
% 264.13/206.57 | (551) e2 = e0
% 264.13/206.57 |
% 264.13/206.57 | Equations (551) can reduce 347 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (1099) ~ (all_0_31_31 = e2)
% 264.13/206.57 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (1100), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (1101) all_0_32_32 = e2
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (1587,1101) yields a new equation:
% 264.13/206.57 | (718) e2 = e1
% 264.13/206.57 |
% 264.13/206.57 | Equations (718) can reduce 329 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (508) ~ (all_0_32_32 = e2)
% 264.13/206.57 | (1104) all_0_33_33 = e2 | all_0_34_34 = e2
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (1104), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (414) all_0_33_33 = e2
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (406,414) yields a new equation:
% 264.13/206.57 | (1111) e4 = e2
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 1111 yields:
% 264.13/206.57 | (539) e4 = e2
% 264.13/206.57 |
% 264.13/206.57 | Equations (539) can reduce 19 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (401) ~ (all_0_33_33 = e2)
% 264.13/206.57 | (1110) all_0_34_34 = e2
% 264.13/206.57 |
% 264.13/206.57 | From (1110) and (8785) follows:
% 264.13/206.57 | (1188) op(e2, e2) = e0
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (3162), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (950) all_0_25_25 = e1
% 264.13/206.57 |
% 264.13/206.57 | Equations (950) can reduce 946 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (946) ~ (all_0_25_25 = e1)
% 264.13/206.57 | (1921) all_0_25_25 = e0
% 264.13/206.57 |
% 264.13/206.57 | Equations (1921) can reduce 646 to:
% 264.13/206.57 | (393) ~ (e2 = e0)
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 393 yields:
% 264.13/206.57 | (347) ~ (e2 = e0)
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (684), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (1189) ~ (op(e2, e2) = e0)
% 264.13/206.57 |
% 264.13/206.57 | Using (1188) and (1189) yields:
% 264.13/206.57 | (821) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (1188) op(e2, e2) = e0
% 264.13/206.57 | (551) e2 = e0
% 264.13/206.57 |
% 264.13/206.57 | Equations (551) can reduce 347 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (568) ~ (all_0_30_30 = e3)
% 264.13/206.57 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (762), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (763) all_0_31_31 = e3
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (1060,763) yields a new equation:
% 264.13/206.57 | (980) e3 = e0
% 264.13/206.57 |
% 264.13/206.57 | Equations (980) can reduce 88 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (510) ~ (all_0_31_31 = e3)
% 264.13/206.57 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (111), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (468) all_0_15_15 = e3
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (468,476) yields a new equation:
% 264.13/206.57 | (933) e3 = e1
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 933 yields:
% 264.13/206.57 | (706) e3 = e1
% 264.13/206.57 |
% 264.13/206.57 | Equations (706) can reduce 318 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (433) ~ (all_0_15_15 = e3)
% 264.13/206.57 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.13/206.57 |
% 264.13/206.57 | Equations (476) can reduce 433 to:
% 264.13/206.57 | (429) ~ (e3 = e1)
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 429 yields:
% 264.13/206.57 | (318) ~ (e3 = e1)
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (7536), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (903) all_0_20_20 = e3
% 264.13/206.57 |
% 264.13/206.57 | Equations (903) can reduce 564 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (564) ~ (all_0_20_20 = e3)
% 264.13/206.57 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (767), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (772) all_0_32_32 = e3
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (772,1587) yields a new equation:
% 264.13/206.57 | (933) e3 = e1
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 933 yields:
% 264.13/206.57 | (706) e3 = e1
% 264.13/206.57 |
% 264.13/206.57 | Equations (706) can reduce 318 to:
% 264.13/206.57 | (366) $false
% 264.13/206.57 |
% 264.13/206.57 |-The branch is then unsatisfiable
% 264.13/206.57 |-Branch two:
% 264.13/206.57 | (1089) ~ (all_0_32_32 = e3)
% 264.13/206.57 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (8890), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (2438) all_0_25_25 = e3
% 264.13/206.57 |
% 264.13/206.57 | Equations (2438) can reduce 501 to:
% 264.13/206.57 | (695) ~ (e4 = e3)
% 264.13/206.57 |
% 264.13/206.57 | Simplifying 695 yields:
% 264.13/206.57 | (277) ~ (e4 = e3)
% 264.13/206.57 |
% 264.13/206.57 +-Applying beta-rule and splitting (1090), into two cases.
% 264.13/206.57 |-Branch one:
% 264.13/206.57 | (410) all_0_33_33 = e3
% 264.13/206.57 |
% 264.13/206.57 | Combining equations (406,410) yields a new equation:
% 264.13/206.58 | (690) e4 = e3
% 264.13/206.58 |
% 264.13/206.58 | Simplifying 690 yields:
% 264.13/206.58 | (691) e4 = e3
% 264.13/206.58 |
% 264.13/206.58 | Equations (691) can reduce 277 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (403) ~ (all_0_33_33 = e3)
% 264.13/206.58 | (1027) all_0_34_34 = e3
% 264.13/206.58 |
% 264.13/206.58 | From (1027) and (8785) follows:
% 264.13/206.58 | (8906) op(e3, e2) = e0
% 264.13/206.58 |
% 264.13/206.58 +-Applying beta-rule and splitting (8803), into two cases.
% 264.13/206.58 |-Branch one:
% 264.13/206.58 | (8907) ~ (op(e3, e2) = e0)
% 264.13/206.58 |
% 264.13/206.58 | Using (8906) and (8907) yields:
% 264.13/206.58 | (821) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (8906) op(e3, e2) = e0
% 264.13/206.58 | (847) all_0_22_22 = e0
% 264.13/206.58 |
% 264.13/206.58 | From (847) and (5602) follows:
% 264.13/206.58 | (8911) op(e0, e4) = e2
% 264.13/206.58 |
% 264.13/206.58 +-Applying beta-rule and splitting (8732), into two cases.
% 264.13/206.58 |-Branch one:
% 264.13/206.58 | (8912) ~ (op(e0, e4) = e2)
% 264.13/206.58 |
% 264.13/206.58 | Using (8911) and (8912) yields:
% 264.13/206.58 | (821) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (8911) op(e0, e4) = e2
% 264.13/206.58 | (797) all_0_35_35 = e2
% 264.13/206.58 |
% 264.13/206.58 | Combining equations (1161,797) yields a new equation:
% 264.13/206.58 | (1111) e4 = e2
% 264.13/206.58 |
% 264.13/206.58 | Simplifying 1111 yields:
% 264.13/206.58 | (539) e4 = e2
% 264.13/206.58 |
% 264.13/206.58 | Equations (539) can reduce 19 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (566) ~ (all_0_25_25 = e3)
% 264.13/206.58 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 264.13/206.58 |
% 264.13/206.58 +-Applying beta-rule and splitting (8920), into two cases.
% 264.13/206.58 |-Branch one:
% 264.13/206.58 | (759) all_0_30_30 = e3
% 264.13/206.58 |
% 264.13/206.58 | Equations (759) can reduce 568 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (568) ~ (all_0_30_30 = e3)
% 264.13/206.58 | (814) all_0_35_35 = e3
% 264.13/206.58 |
% 264.13/206.58 | Combining equations (1161,814) yields a new equation:
% 264.13/206.58 | (690) e4 = e3
% 264.13/206.58 |
% 264.13/206.58 | Simplifying 690 yields:
% 264.13/206.58 | (691) e4 = e3
% 264.13/206.58 |
% 264.13/206.58 | Equations (691) can reduce 277 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (424) ~ (all_0_32_32 = e1)
% 264.13/206.58 | (1626) all_0_32_32 = e0
% 264.13/206.58 |
% 264.13/206.58 | Equations (1626) can reduce 1946 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (1084) ~ (all_0_38_38 = e2)
% 264.13/206.58 | (373) all_0_39_39 = e2
% 264.13/206.58 |
% 264.13/206.58 | Combining equations (373,380) yields a new equation:
% 264.13/206.58 | (836) e2 = e0
% 264.13/206.58 |
% 264.13/206.58 | Simplifying 836 yields:
% 264.13/206.58 | (551) e2 = e0
% 264.13/206.58 |
% 264.13/206.58 | Equations (551) can reduce 347 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (777) ~ (all_0_37_37 = e3)
% 264.13/206.58 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.13/206.58 |
% 264.13/206.58 +-Applying beta-rule and splitting (3886), into two cases.
% 264.13/206.58 |-Branch one:
% 264.13/206.58 | (805) all_0_37_37 = e2
% 264.13/206.58 |
% 264.13/206.58 | Equations (805) can reduce 515 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (515) ~ (all_0_37_37 = e2)
% 264.13/206.58 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 264.13/206.58 |
% 264.13/206.58 +-Applying beta-rule and splitting (3890), into two cases.
% 264.13/206.58 |-Branch one:
% 264.13/206.58 | (1590) all_0_37_37 = e1
% 264.13/206.58 |
% 264.13/206.58 | Equations (1590) can reduce 2562 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (2562) ~ (all_0_37_37 = e1)
% 264.13/206.58 | (3111) all_0_37_37 = e0
% 264.13/206.58 |
% 264.13/206.58 | Equations (3111) can reduce 387 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (514) ~ (all_0_35_35 = e4)
% 264.13/206.58 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.13/206.58 |
% 264.13/206.58 +-Applying beta-rule and splitting (1164), into two cases.
% 264.13/206.58 |-Branch one:
% 264.13/206.58 | (2611) all_0_36_36 = e4
% 264.13/206.58 |
% 264.13/206.58 | Combining equations (2611,1015) yields a new equation:
% 264.13/206.58 | (955) e4 = e1
% 264.13/206.58 |
% 264.13/206.58 | Simplifying 955 yields:
% 264.13/206.58 | (480) e4 = e1
% 264.13/206.58 |
% 264.13/206.58 | Equations (480) can reduce 65 to:
% 264.13/206.58 | (366) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.13/206.58 | (586) ~ (all_0_36_36 = e4)
% 264.13/206.58 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.13/206.58 |
% 264.13/206.58 +-Applying beta-rule and splitting (914), into two cases.
% 264.13/206.58 |-Branch one:
% 264.13/206.58 | (1453) all_0_20_20 = e4
% 264.13/206.58 |
% 264.13/206.58 | Equations (1453) can reduce 249 to:
% 264.13/206.58 | (1159) ~ (all_0_35_35 = e4)
% 264.13/206.58 |
% 264.13/206.58 | Simplifying 1159 yields:
% 264.13/206.58 | (514) ~ (all_0_35_35 = e4)
% 264.13/206.58 |
% 264.13/206.58 | From (1453) and (7456) follows:
% 264.13/206.58 | (7783) op(e2, e4) = e3
% 264.13/206.58 |
% 264.13/206.58 +-Applying beta-rule and splitting (7465), into two cases.
% 264.13/206.58 |-Branch one:
% 264.13/206.58 | (7790) ~ (op(e2, e4) = e3)
% 264.13/206.58 |
% 264.13/206.58 | Using (7783) and (7790) yields:
% 264.13/206.58 | (821) $false
% 264.13/206.58 |
% 264.13/206.58 |-The branch is then unsatisfiable
% 264.13/206.58 |-Branch two:
% 264.29/206.58 | (7783) op(e2, e4) = e3
% 264.29/206.58 | (2438) all_0_25_25 = e3
% 264.29/206.58 |
% 264.29/206.58 | Equations (2438) can reduce 98 to:
% 264.29/206.58 | (569) ~ (all_0_35_35 = e3)
% 264.29/206.58 |
% 264.29/206.58 | Simplifying 569 yields:
% 264.29/206.58 | (570) ~ (all_0_35_35 = e3)
% 264.29/206.58 |
% 264.29/206.58 +-Applying beta-rule and splitting (206), into two cases.
% 264.29/206.58 |-Branch one:
% 264.29/206.58 | (483) all_0_15_15 = e0
% 264.29/206.58 |
% 264.29/206.58 | Combining equations (483,476) yields a new equation:
% 264.29/206.58 | (961) e1 = e0
% 264.29/206.58 |
% 264.29/206.58 | Equations (961) can reduce 37 to:
% 264.29/206.58 | (366) $false
% 264.29/206.58 |
% 264.29/206.58 |-The branch is then unsatisfiable
% 264.29/206.58 |-Branch two:
% 264.29/206.58 | (463) ~ (all_0_15_15 = e0)
% 264.29/206.59 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (122), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (1161) all_0_35_35 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (1161) can reduce 514 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (514) ~ (all_0_35_35 = e4)
% 264.29/206.59 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (1889), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (835) all_0_20_20 = e0
% 264.29/206.59 |
% 264.29/206.59 | Combining equations (835,1453) yields a new equation:
% 264.29/206.59 | (490) e4 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (490) can reduce 287 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (839) ~ (all_0_20_20 = e0)
% 264.29/206.59 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (1181), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (814) all_0_35_35 = e3
% 264.29/206.59 |
% 264.29/206.59 | Equations (814) can reduce 570 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (570) ~ (all_0_35_35 = e3)
% 264.29/206.59 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (1185), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (797) all_0_35_35 = e2
% 264.29/206.59 |
% 264.29/206.59 | Equations (797) can reduce 385 to:
% 264.29/206.59 | (347) ~ (e2 = e0)
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (2584), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (873) all_0_16_16 = e0
% 264.29/206.59 |
% 264.29/206.59 | Combining equations (873,697) yields a new equation:
% 264.29/206.59 | (551) e2 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (551) can reduce 347 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (824) ~ (all_0_16_16 = e0)
% 264.29/206.59 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (697) can reduce 824 to:
% 264.29/206.59 | (347) ~ (e2 = e0)
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (1920), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (1921) all_0_25_25 = e0
% 264.29/206.59 |
% 264.29/206.59 | Combining equations (2438,1921) yields a new equation:
% 264.29/206.59 | (979) e3 = e0
% 264.29/206.59 |
% 264.29/206.59 | Simplifying 979 yields:
% 264.29/206.59 | (980) e3 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (980) can reduce 88 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (1925) ~ (all_0_25_25 = e0)
% 264.29/206.59 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (1938), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (790) all_0_30_30 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (790) can reduce 1878 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (1878) ~ (all_0_30_30 = e0)
% 264.29/206.59 | (1203) all_0_35_35 = e0
% 264.29/206.59 |
% 264.29/206.59 | Combining equations (1203,797) yields a new equation:
% 264.29/206.59 | (551) e2 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (551) can reduce 347 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (742) ~ (all_0_35_35 = e2)
% 264.29/206.59 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (1195), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (1196) all_0_35_35 = e1
% 264.29/206.59 |
% 264.29/206.59 | Equations (1196) can reduce 1177 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (1177) ~ (all_0_35_35 = e1)
% 264.29/206.59 | (1203) all_0_35_35 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (1203) can reduce 385 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (496) ~ (all_0_20_20 = e4)
% 264.29/206.59 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (2633), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (1232) all_0_37_37 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (1232) can reduce 121 to:
% 264.29/206.59 | (514) ~ (all_0_35_35 = e4)
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (1456), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (1158) all_0_25_25 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (1158) can reduce 501 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (501) ~ (all_0_25_25 = e4)
% 264.29/206.59 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (1460), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (768) all_0_30_30 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (768) can reduce 509 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (509) ~ (all_0_30_30 = e4)
% 264.29/206.59 | (1161) all_0_35_35 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (1161) can reduce 514 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (2658) ~ (all_0_37_37 = e4)
% 264.29/206.59 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (2659), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (1165) all_0_38_38 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (1165) can reduce 1143 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (1143) ~ (all_0_38_38 = e4)
% 264.29/206.59 | (365) all_0_39_39 = e4
% 264.29/206.59 |
% 264.29/206.59 | Combining equations (380,365) yields a new equation:
% 264.29/206.59 | (490) e4 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (490) can reduce 287 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (1593) ~ (all_0_36_36 = e1)
% 264.29/206.59 | (1065) all_0_36_36 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (1065) can reduce 386 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (1064) ~ (all_0_31_31 = e0)
% 264.29/206.59 | (1065) all_0_36_36 = e0
% 264.29/206.59 |
% 264.29/206.59 | Equations (1065) can reduce 386 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (582) ~ (all_0_26_26 = e4)
% 264.29/206.59 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (6263), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (1446) all_0_31_31 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (1446) can reduce 584 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (584) ~ (all_0_31_31 = e4)
% 264.29/206.59 | (2611) all_0_36_36 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (2611) can reduce 586 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (7013) all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10))
% 264.29/206.59 |
% 264.29/206.59 | Applying alpha-rule on (7013) yields:
% 264.29/206.59 | (6638) all_0_11_11 = all_0_18_18
% 264.29/206.59 | (7015) ( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)
% 264.29/206.59 |
% 264.29/206.59 | Instantiating formula (97) with e0, e2, e4, all_0_37_37 and discharging atoms op(e0, e2) = all_0_37_37, yields:
% 264.29/206.59 | (7464) all_0_37_37 = e4 | ~ (op(e0, e2) = e4)
% 264.29/206.59 |
% 264.29/206.59 | Instantiating formula (97) with e2, e4, e3, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 264.29/206.59 | (7465) all_0_25_25 = e3 | ~ (op(e2, e4) = e3)
% 264.29/206.59 |
% 264.29/206.59 | Instantiating formula (97) with e2, e2, e3, e2 and discharging atoms op(e2, e2) = e2, yields:
% 264.29/206.59 | (7466) e3 = e2 | ~ (op(e2, e2) = e3)
% 264.29/206.59 |
% 264.29/206.59 | Instantiating formula (97) with e2, e0, e3, all_0_29_29 and discharging atoms op(e2, e0) = all_0_29_29, yields:
% 264.29/206.59 | (7467) all_0_29_29 = e3 | ~ (op(e2, e0) = e3)
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (26), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (887) all_0_18_18 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (887) can reduce 1046 to:
% 264.29/206.59 | (366) $false
% 264.29/206.59 |
% 264.29/206.59 |-The branch is then unsatisfiable
% 264.29/206.59 |-Branch two:
% 264.29/206.59 | (1046) ~ (all_0_18_18 = e4)
% 264.29/206.59 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.29/206.59 |
% 264.29/206.59 +-Applying beta-rule and splitting (187), into two cases.
% 264.29/206.59 |-Branch one:
% 264.29/206.59 | (2611) all_0_36_36 = e4
% 264.29/206.59 |
% 264.29/206.59 | Equations (2611) can reduce 170 to:
% 264.29/206.59 | (582) ~ (all_0_26_26 = e4)
% 264.29/206.59 |
% 264.29/206.59 | Equations (2611) can reduce 7 to:
% 264.29/206.59 | (584) ~ (all_0_31_31 = e4)
% 264.29/206.59 |
% 264.29/206.59 | Equations (2611) can reduce 273 to:
% 264.29/206.59 | (514) ~ (all_0_35_35 = e4)
% 264.29/206.59 |
% 264.29/206.59 | Equations (2611) can reduce 183 to:
% 264.29/206.60 | (3299) ~ (all_0_37_37 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Simplifying 3299 yields:
% 264.29/206.60 | (2658) ~ (all_0_37_37 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Equations (2611) can reduce 93 to:
% 264.29/206.60 | (1142) ~ (all_0_38_38 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Simplifying 1142 yields:
% 264.29/206.60 | (1143) ~ (all_0_38_38 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Equations (2611) can reduce 756 to:
% 264.29/206.60 | (19) ~ (e4 = e2)
% 264.29/206.60 |
% 264.29/206.60 | Equations (2611) can reduce 386 to:
% 264.29/206.60 | (287) ~ (e4 = e0)
% 264.29/206.60 |
% 264.29/206.60 | From (2611) and (5) follows:
% 264.29/206.60 | (7478) op(e4, all_0_24_24) = e3
% 264.29/206.60 |
% 264.29/206.60 | Instantiating formula (97) with e4, e2, e3, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 264.29/206.60 | (6528) all_0_17_17 = e3 | ~ (op(e4, e2) = e3)
% 264.29/206.60 |
% 264.29/206.60 | Instantiating formula (97) with e4, e1, e3, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 264.29/206.60 | (7480) all_0_18_18 = e3 | ~ (op(e4, e1) = e3)
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (122), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (1161) all_0_35_35 = e4
% 264.29/206.60 |
% 264.29/206.60 | Equations (1161) can reduce 514 to:
% 264.29/206.60 | (366) $false
% 264.29/206.60 |
% 264.29/206.60 |-The branch is then unsatisfiable
% 264.29/206.60 |-Branch two:
% 264.29/206.60 | (514) ~ (all_0_35_35 = e4)
% 264.29/206.60 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (166), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (464) all_0_15_15 = e4
% 264.29/206.60 |
% 264.29/206.60 | Combining equations (464,476) yields a new equation:
% 264.29/206.60 | (955) e4 = e1
% 264.29/206.60 |
% 264.29/206.60 | Simplifying 955 yields:
% 264.29/206.60 | (480) e4 = e1
% 264.29/206.60 |
% 264.29/206.60 | Equations (480) can reduce 65 to:
% 264.29/206.60 | (366) $false
% 264.29/206.60 |
% 264.29/206.60 |-The branch is then unsatisfiable
% 264.29/206.60 |-Branch two:
% 264.29/206.60 | (460) ~ (all_0_15_15 = e4)
% 264.29/206.60 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.29/206.60 |
% 264.29/206.60 | Equations (476) can reduce 460 to:
% 264.29/206.60 | (477) ~ (e4 = e1)
% 264.29/206.60 |
% 264.29/206.60 | Simplifying 477 yields:
% 264.29/206.60 | (65) ~ (e4 = e1)
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (285), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (1158) all_0_25_25 = e4
% 264.29/206.60 |
% 264.29/206.60 | Equations (1158) can reduce 62 to:
% 264.29/206.60 | (2797) ~ (all_0_29_29 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Simplifying 2797 yields:
% 264.29/206.60 | (724) ~ (all_0_29_29 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Equations (1158) can reduce 58 to:
% 264.29/206.60 | (3310) ~ (all_0_30_30 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Simplifying 3310 yields:
% 264.29/206.60 | (509) ~ (all_0_30_30 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Equations (1158) can reduce 646 to:
% 264.29/206.60 | (19) ~ (e4 = e2)
% 264.29/206.60 |
% 264.29/206.60 | From (1158) and (57) follows:
% 264.29/206.60 | (1819) op(all_0_17_17, e4) = e2
% 264.29/206.60 |
% 264.29/206.60 | From (1158) and (49) follows:
% 264.29/206.60 | (1820) op(e4, all_0_17_17) = e4
% 264.29/206.60 |
% 264.29/206.60 | Instantiating formula (97) with e0, e4, e2, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 264.29/206.60 | (8732) all_0_35_35 = e2 | ~ (op(e0, e4) = e2)
% 264.29/206.60 |
% 264.29/206.60 | Instantiating formula (97) with e4, all_0_24_24, e4, e3 and discharging atoms op(e4, all_0_24_24) = e3, yields:
% 264.29/206.60 | (9089) e4 = e3 | ~ (op(e4, all_0_24_24) = e4)
% 264.29/206.60 |
% 264.29/206.60 | Instantiating formula (97) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e2, yields:
% 264.29/206.60 | (9090) e4 = e2 | ~ (op(e4, e3) = e4)
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (357), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (1250) all_0_29_29 = e4
% 264.29/206.60 |
% 264.29/206.60 | Equations (1250) can reduce 724 to:
% 264.29/206.60 | (366) $false
% 264.29/206.60 |
% 264.29/206.60 |-The branch is then unsatisfiable
% 264.29/206.60 |-Branch two:
% 264.29/206.60 | (724) ~ (all_0_29_29 = e4)
% 264.29/206.60 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (59), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (865) all_0_17_17 = e4
% 264.29/206.60 |
% 264.29/206.60 | Equations (865) can reduce 333 to:
% 264.29/206.60 | (6514) ~ (all_0_19_19 = e4)
% 264.29/206.60 |
% 264.29/206.60 | Simplifying 6514 yields:
% 264.29/206.60 | (714) ~ (all_0_19_19 = e4)
% 264.29/206.60 |
% 264.29/206.60 | From (865) and (1820) follows:
% 264.29/206.60 | (1430) op(e4, e4) = e4
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (225), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (711) all_0_19_19 = e4
% 264.29/206.60 |
% 264.29/206.60 | Equations (711) can reduce 714 to:
% 264.29/206.60 | (366) $false
% 264.29/206.60 |
% 264.29/206.60 |-The branch is then unsatisfiable
% 264.29/206.60 |-Branch two:
% 264.29/206.60 | (714) ~ (all_0_19_19 = e4)
% 264.29/206.60 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (242), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (711) all_0_19_19 = e4
% 264.29/206.60 |
% 264.29/206.60 | Equations (711) can reduce 714 to:
% 264.29/206.60 | (366) $false
% 264.29/206.60 |
% 264.29/206.60 |-The branch is then unsatisfiable
% 264.29/206.60 |-Branch two:
% 264.29/206.60 | (714) ~ (all_0_19_19 = e4)
% 264.29/206.60 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (715), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (685) all_0_24_24 = e4
% 264.29/206.60 |
% 264.29/206.60 | Equations (685) can reduce 963 to:
% 264.29/206.60 | (277) ~ (e4 = e3)
% 264.29/206.60 |
% 264.29/206.60 +-Applying beta-rule and splitting (9089), into two cases.
% 264.29/206.60 |-Branch one:
% 264.29/206.60 | (9109) ~ (op(e4, all_0_24_24) = e4)
% 264.29/206.60 |
% 264.29/206.60 | From (685) and (9109) follows:
% 264.31/206.60 | (1431) ~ (op(e4, e4) = e4)
% 264.31/206.60 |
% 264.31/206.60 | Using (1430) and (1431) yields:
% 264.31/206.60 | (821) $false
% 264.31/206.60 |
% 264.31/206.60 |-The branch is then unsatisfiable
% 264.31/206.60 |-Branch two:
% 264.31/206.60 | (9112) op(e4, all_0_24_24) = e4
% 264.31/206.60 | (691) e4 = e3
% 264.31/206.60 |
% 264.31/206.60 | Equations (691) can reduce 277 to:
% 264.31/206.60 | (366) $false
% 264.31/206.60 |
% 264.31/206.60 |-The branch is then unsatisfiable
% 264.31/206.60 |-Branch two:
% 264.31/206.60 | (580) ~ (all_0_24_24 = e4)
% 264.31/206.60 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 264.31/206.60 |
% 264.31/206.60 +-Applying beta-rule and splitting (1400), into two cases.
% 264.31/206.60 |-Branch one:
% 264.31/206.60 | (1250) all_0_29_29 = e4
% 264.31/206.60 |
% 264.31/206.60 | Equations (1250) can reduce 724 to:
% 264.31/206.60 | (366) $false
% 264.31/206.60 |
% 264.31/206.60 |-The branch is then unsatisfiable
% 264.31/206.60 |-Branch two:
% 264.31/206.60 | (724) ~ (all_0_29_29 = e4)
% 264.31/206.60 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 264.31/206.60 |
% 264.31/206.60 +-Applying beta-rule and splitting (1735), into two cases.
% 264.31/206.60 |-Branch one:
% 264.31/206.60 | (723) all_0_34_34 = e4
% 264.31/206.60 |
% 264.31/206.60 | Equations (723) can reduce 1395 to:
% 264.31/206.60 | (366) $false
% 264.31/206.60 |
% 264.31/206.60 |-The branch is then unsatisfiable
% 264.31/206.60 |-Branch two:
% 264.31/206.60 | (1395) ~ (all_0_34_34 = e4)
% 264.31/206.60 | (365) all_0_39_39 = e4
% 264.31/206.60 |
% 264.31/206.60 | Combining equations (365,380) yields a new equation:
% 264.31/206.60 | (842) e4 = e0
% 264.31/206.60 |
% 264.31/206.60 | Simplifying 842 yields:
% 264.31/206.60 | (490) e4 = e0
% 264.31/206.60 |
% 264.31/206.60 | Equations (490) can reduce 287 to:
% 264.31/206.60 | (366) $false
% 264.31/206.60 |
% 264.31/206.60 |-The branch is then unsatisfiable
% 264.31/206.60 |-Branch two:
% 264.31/206.60 | (869) ~ (all_0_17_17 = e4)
% 264.31/206.60 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.31/206.60 |
% 264.31/206.60 +-Applying beta-rule and splitting (1148), into two cases.
% 264.31/206.60 |-Branch one:
% 264.31/206.60 | (831) all_0_22_22 = e4
% 264.31/206.60 |
% 264.31/206.60 | Equations (831) can reduce 184 to:
% 264.31/206.60 | (869) ~ (all_0_17_17 = e4)
% 264.31/206.60 |
% 264.31/206.60 | Equations (831) can reduce 211 to:
% 264.31/206.60 | (496) ~ (all_0_20_20 = e4)
% 264.31/206.60 |
% 264.31/206.60 | Equations (831) can reduce 202 to:
% 264.31/206.60 | (3299) ~ (all_0_37_37 = e4)
% 264.31/206.60 |
% 264.31/206.60 | Simplifying 3299 yields:
% 264.31/206.60 | (2658) ~ (all_0_37_37 = e4)
% 264.31/206.60 |
% 264.31/206.60 | Equations (831) can reduce 774 to:
% 264.31/206.60 | (277) ~ (e4 = e3)
% 264.31/206.60 |
% 264.31/206.60 | Equations (831) can reduce 493 to:
% 264.31/206.60 | (19) ~ (e4 = e2)
% 264.31/206.60 |
% 264.31/206.60 +-Applying beta-rule and splitting (694), into two cases.
% 264.31/206.60 |-Branch one:
% 264.31/206.60 | (701) all_0_16_16 = e4
% 264.31/206.60 |
% 264.31/206.60 | Combining equations (697,701) yields a new equation:
% 264.31/206.60 | (539) e4 = e2
% 264.31/206.60 |
% 264.31/206.60 | Equations (539) can reduce 19 to:
% 264.31/206.60 | (366) $false
% 264.31/206.60 |
% 264.31/206.60 |-The branch is then unsatisfiable
% 264.31/206.60 |-Branch two:
% 264.31/206.60 | (573) ~ (all_0_16_16 = e4)
% 264.31/206.60 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.31/206.60 |
% 264.31/206.60 +-Applying beta-rule and splitting (242), into two cases.
% 264.31/206.60 |-Branch one:
% 264.31/206.60 | (711) all_0_19_19 = e4
% 264.31/206.60 |
% 264.31/206.60 | Equations (711) can reduce 333 to:
% 264.31/206.60 | (869) ~ (all_0_17_17 = e4)
% 264.31/206.60 |
% 264.31/206.60 | Equations (711) can reduce 337 to:
% 264.31/206.60 | (1046) ~ (all_0_18_18 = e4)
% 264.31/206.60 |
% 264.31/206.60 | Equations (711) can reduce 229 to:
% 264.31/206.60 | (2797) ~ (all_0_29_29 = e4)
% 264.31/206.60 |
% 264.31/206.60 | Simplifying 2797 yields:
% 264.31/206.60 | (724) ~ (all_0_29_29 = e4)
% 264.31/206.60 |
% 264.31/206.60 | Equations (711) can reduce 2785 to:
% 264.31/206.60 | (19) ~ (e4 = e2)
% 264.31/206.60 |
% 264.31/206.60 | Equations (711) can reduce 720 to:
% 264.31/206.60 | (65) ~ (e4 = e1)
% 264.31/206.60 |
% 264.31/206.60 | Equations (711) can reduce 381 to:
% 264.31/206.60 | (287) ~ (e4 = e0)
% 264.31/206.60 |
% 264.31/206.60 +-Applying beta-rule and splitting (17), into two cases.
% 264.31/206.60 |-Branch one:
% 264.31/206.60 | (1498) all_0_17_17 = e1
% 264.31/206.60 |
% 264.31/206.60 | Equations (1498) can reduce 1501 to:
% 264.31/206.61 | (366) $false
% 264.31/206.61 |
% 264.31/206.61 |-The branch is then unsatisfiable
% 264.31/206.61 |-Branch two:
% 264.31/206.61 | (1501) ~ (all_0_17_17 = e1)
% 264.31/206.61 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 264.31/206.61 |
% 264.31/206.61 +-Applying beta-rule and splitting (231), into two cases.
% 264.31/206.61 |-Branch one:
% 264.31/206.61 | (1453) all_0_20_20 = e4
% 264.31/206.61 |
% 264.31/206.61 | Equations (1453) can reduce 496 to:
% 264.31/206.61 | (366) $false
% 264.31/206.61 |
% 264.31/206.61 |-The branch is then unsatisfiable
% 264.31/206.61 |-Branch two:
% 264.31/206.61 | (496) ~ (all_0_20_20 = e4)
% 264.31/206.61 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.31/206.61 |
% 264.31/206.61 +-Applying beta-rule and splitting (111), into two cases.
% 264.31/206.61 |-Branch one:
% 264.31/206.61 | (468) all_0_15_15 = e3
% 264.31/206.61 |
% 264.31/206.61 | Combining equations (468,476) yields a new equation:
% 264.31/206.61 | (933) e3 = e1
% 264.31/206.61 |
% 264.31/206.61 | Simplifying 933 yields:
% 264.31/206.61 | (706) e3 = e1
% 264.31/206.61 |
% 264.31/206.61 | Equations (706) can reduce 318 to:
% 264.31/206.61 | (366) $false
% 264.31/206.61 |
% 264.31/206.61 |-The branch is then unsatisfiable
% 264.31/206.61 |-Branch two:
% 264.31/206.61 | (433) ~ (all_0_15_15 = e3)
% 264.31/206.61 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.31/206.61 |
% 264.31/206.61 | Equations (476) can reduce 433 to:
% 264.31/206.61 | (429) ~ (e3 = e1)
% 264.31/206.61 |
% 264.31/206.61 | Simplifying 429 yields:
% 264.31/206.61 | (318) ~ (e3 = e1)
% 264.31/206.61 |
% 264.31/206.61 +-Applying beta-rule and splitting (240), into two cases.
% 264.31/206.61 |-Branch one:
% 264.31/206.61 | (865) all_0_17_17 = e4
% 264.31/206.61 |
% 264.31/206.61 | Equations (865) can reduce 869 to:
% 264.31/206.61 | (366) $false
% 264.31/206.61 |
% 264.31/206.61 |-The branch is then unsatisfiable
% 264.31/206.61 |-Branch two:
% 264.31/206.61 | (869) ~ (all_0_17_17 = e4)
% 264.31/206.61 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 264.31/206.61 |
% 264.31/206.61 +-Applying beta-rule and splitting (222), into two cases.
% 264.31/206.61 |-Branch one:
% 264.31/206.61 | (823) all_0_17_17 = e0
% 264.31/206.61 |
% 264.31/206.61 | Equations (823) can reduce 74 to:
% 264.31/206.61 | (3378) ~ (all_0_18_18 = e0)
% 264.31/206.61 |
% 264.31/206.61 | Simplifying 3378 yields:
% 264.31/206.61 | (1156) ~ (all_0_18_18 = e0)
% 264.31/206.61 |
% 264.31/206.61 | Equations (823) can reduce 286 to:
% 264.31/206.61 | (2961) ~ (all_0_32_32 = e0)
% 264.31/206.61 |
% 264.31/206.61 | Simplifying 2961 yields:
% 264.31/206.61 | (1946) ~ (all_0_32_32 = e0)
% 264.31/206.61 |
% 264.31/206.61 | Equations (823) can reduce 132 to:
% 264.31/206.61 | (3380) ~ (all_0_37_37 = e0)
% 264.31/206.61 |
% 264.31/206.61 | Simplifying 3380 yields:
% 264.31/206.61 | (387) ~ (all_0_37_37 = e0)
% 264.31/206.61 |
% 264.31/206.61 | Equations (823) can reduce 869 to:
% 264.31/206.61 | (389) ~ (e4 = e0)
% 264.31/206.61 |
% 264.31/206.61 | Simplifying 389 yields:
% 264.31/206.61 | (287) ~ (e4 = e0)
% 264.31/206.61 |
% 264.31/206.61 | From (823) and (1819) follows:
% 264.31/206.61 | (8911) op(e0, e4) = e2
% 264.31/206.61 |
% 264.31/206.61 +-Applying beta-rule and splitting (72), into two cases.
% 264.31/206.61 |-Branch one:
% 264.31/206.61 | (468) all_0_15_15 = e3
% 264.31/206.61 |
% 264.31/206.61 | Combining equations (468,476) yields a new equation:
% 264.31/206.61 | (933) e3 = e1
% 264.31/206.61 |
% 264.31/206.61 | Simplifying 933 yields:
% 264.31/206.61 | (706) e3 = e1
% 264.31/206.61 |
% 264.31/206.61 | Equations (706) can reduce 318 to:
% 264.31/206.61 | (366) $false
% 264.31/206.61 |
% 264.31/206.61 |-The branch is then unsatisfiable
% 264.31/206.61 |-Branch two:
% 264.31/206.61 | (433) ~ (all_0_15_15 = e3)
% 264.31/206.61 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 264.31/206.61 |
% 264.31/206.61 +-Applying beta-rule and splitting (7544), into two cases.
% 264.31/206.61 |-Branch one:
% 264.31/206.61 | (1287) all_0_16_16 = e3
% 264.31/206.61 |
% 264.31/206.61 | Combining equations (1287,697) yields a new equation:
% 264.31/206.61 | (3874) e3 = e2
% 264.31/206.61 |
% 264.31/206.61 | Simplifying 3874 yields:
% 264.31/206.61 | (764) e3 = e2
% 264.31/206.61 |
% 264.31/206.61 | Equations (764) can reduce 56 to:
% 264.31/206.61 | (366) $false
% 264.31/206.61 |
% 264.31/206.61 |-The branch is then unsatisfiable
% 264.31/206.61 |-Branch two:
% 264.31/206.61 | (458) ~ (all_0_16_16 = e3)
% 264.31/206.61 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 264.31/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (7699), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (1970) all_0_17_17 = e3
% 264.33/206.61 |
% 264.33/206.61 | Combining equations (1970,823) yields a new equation:
% 264.33/206.61 | (979) e3 = e0
% 264.33/206.61 |
% 264.33/206.61 | Simplifying 979 yields:
% 264.33/206.61 | (980) e3 = e0
% 264.33/206.61 |
% 264.33/206.61 | Equations (980) can reduce 88 to:
% 264.33/206.61 | (366) $false
% 264.33/206.61 |
% 264.33/206.61 |-The branch is then unsatisfiable
% 264.33/206.61 |-Branch two:
% 264.33/206.61 | (558) ~ (all_0_17_17 = e3)
% 264.33/206.61 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (7722), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (1134) all_0_18_18 = e3
% 264.33/206.61 |
% 264.33/206.61 | Combining equations (1134,6638) yields a new equation:
% 264.33/206.61 | (9199) all_0_11_11 = e3
% 264.33/206.61 |
% 264.33/206.61 | Equations (1134) can reduce 142 to:
% 264.33/206.61 | (2070) ~ (all_0_38_38 = e3)
% 264.33/206.61 |
% 264.33/206.61 | Simplifying 2070 yields:
% 264.33/206.61 | (1080) ~ (all_0_38_38 = e3)
% 264.33/206.61 |
% 264.33/206.61 | Equations (1134) can reduce 1046 to:
% 264.33/206.61 | (695) ~ (e4 = e3)
% 264.33/206.61 |
% 264.33/206.61 | Simplifying 695 yields:
% 264.33/206.61 | (277) ~ (e4 = e3)
% 264.33/206.61 |
% 264.33/206.61 | Equations (1134) can reduce 666 to:
% 264.33/206.61 | (56) ~ (e3 = e2)
% 264.33/206.61 |
% 264.33/206.61 | Equations (1134) can reduce 419 to:
% 264.33/206.61 | (318) ~ (e3 = e1)
% 264.33/206.61 |
% 264.33/206.61 | Equations (1134) can reduce 1156 to:
% 264.33/206.61 | (88) ~ (e3 = e0)
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (168), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (2438) all_0_25_25 = e3
% 264.33/206.61 |
% 264.33/206.61 | Combining equations (1158,2438) yields a new equation:
% 264.33/206.61 | (690) e4 = e3
% 264.33/206.61 |
% 264.33/206.61 | Simplifying 690 yields:
% 264.33/206.61 | (691) e4 = e3
% 264.33/206.61 |
% 264.33/206.61 | Equations (691) can reduce 277 to:
% 264.33/206.61 | (366) $false
% 264.33/206.61 |
% 264.33/206.61 |-The branch is then unsatisfiable
% 264.33/206.61 |-Branch two:
% 264.33/206.61 | (566) ~ (all_0_25_25 = e3)
% 264.33/206.61 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 264.33/206.61 |
% 264.33/206.61 | Equations (1158) can reduce 566 to:
% 264.33/206.61 | (277) ~ (e4 = e3)
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (8732), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (8912) ~ (op(e0, e4) = e2)
% 264.33/206.61 |
% 264.33/206.61 | Using (8911) and (8912) yields:
% 264.33/206.61 | (821) $false
% 264.33/206.61 |
% 264.33/206.61 |-The branch is then unsatisfiable
% 264.33/206.61 |-Branch two:
% 264.33/206.61 | (8911) op(e0, e4) = e2
% 264.33/206.61 | (797) all_0_35_35 = e2
% 264.33/206.61 |
% 264.33/206.61 | Equations (797) can reduce 121 to:
% 264.33/206.61 | (654) ~ (all_0_37_37 = e2)
% 264.33/206.61 |
% 264.33/206.61 | Simplifying 654 yields:
% 264.33/206.61 | (515) ~ (all_0_37_37 = e2)
% 264.33/206.61 |
% 264.33/206.61 | Equations (797) can reduce 1177 to:
% 264.33/206.61 | (329) ~ (e2 = e1)
% 264.33/206.61 |
% 264.33/206.61 | Equations (797) can reduce 385 to:
% 264.33/206.61 | (347) ~ (e2 = e0)
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (164), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (814) all_0_35_35 = e3
% 264.33/206.61 |
% 264.33/206.61 | Combining equations (797,814) yields a new equation:
% 264.33/206.61 | (764) e3 = e2
% 264.33/206.61 |
% 264.33/206.61 | Equations (764) can reduce 56 to:
% 264.33/206.61 | (366) $false
% 264.33/206.61 |
% 264.33/206.61 |-The branch is then unsatisfiable
% 264.33/206.61 |-Branch two:
% 264.33/206.61 | (570) ~ (all_0_35_35 = e3)
% 264.33/206.61 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (358), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (1165) all_0_38_38 = e4
% 264.33/206.61 |
% 264.33/206.61 | Equations (1165) can reduce 1143 to:
% 264.33/206.61 | (366) $false
% 264.33/206.61 |
% 264.33/206.61 |-The branch is then unsatisfiable
% 264.33/206.61 |-Branch two:
% 264.33/206.61 | (1143) ~ (all_0_38_38 = e4)
% 264.33/206.61 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (2442), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (2443) all_0_26_26 = e3
% 264.33/206.61 |
% 264.33/206.61 | Equations (2443) can reduce 504 to:
% 264.33/206.61 | (366) $false
% 264.33/206.61 |
% 264.33/206.61 |-The branch is then unsatisfiable
% 264.33/206.61 |-Branch two:
% 264.33/206.61 | (504) ~ (all_0_26_26 = e3)
% 264.33/206.61 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (1168), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (1077) all_0_38_38 = e3
% 264.33/206.61 |
% 264.33/206.61 | Equations (1077) can reduce 1080 to:
% 264.33/206.61 | (366) $false
% 264.33/206.61 |
% 264.33/206.61 |-The branch is then unsatisfiable
% 264.33/206.61 |-Branch two:
% 264.33/206.61 | (1080) ~ (all_0_38_38 = e3)
% 264.33/206.61 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (2301), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (903) all_0_20_20 = e3
% 264.33/206.61 |
% 264.33/206.61 | Equations (903) can reduce 564 to:
% 264.33/206.61 | (366) $false
% 264.33/206.61 |
% 264.33/206.61 |-The branch is then unsatisfiable
% 264.33/206.61 |-Branch two:
% 264.33/206.61 | (564) ~ (all_0_20_20 = e3)
% 264.33/206.61 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.33/206.61 |
% 264.33/206.61 +-Applying beta-rule and splitting (5517), into two cases.
% 264.33/206.61 |-Branch one:
% 264.33/206.61 | (6637) all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 264.33/206.61 |
% 264.33/206.61 | Applying alpha-rule on (6637) yields:
% 264.33/206.61 | (6638) all_0_11_11 = all_0_18_18
% 264.33/206.61 | (560) ~ (all_0_18_18 = e3)
% 264.33/206.61 |
% 264.33/206.62 | Combining equations (6638,9199) yields a new equation:
% 264.33/206.62 | (9246) all_0_18_18 = e3
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 9246 yields:
% 264.33/206.62 | (1134) all_0_18_18 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (1134) can reduce 560 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (9249) all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10))
% 264.33/206.62 |
% 264.33/206.62 | Applying alpha-rule on (9249) yields:
% 264.33/206.62 | (6638) all_0_11_11 = all_0_18_18
% 264.33/206.62 | (9251) ( ~ (all_0_9_9 = e2) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (6638,9199) yields a new equation:
% 264.33/206.62 | (9246) all_0_18_18 = e3
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 9246 yields:
% 264.33/206.62 | (1134) all_0_18_18 = e3
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (817), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (818) all_0_36_36 = e3
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (2611,818) yields a new equation:
% 264.33/206.62 | (690) e4 = e3
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 690 yields:
% 264.33/206.62 | (691) e4 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (691) can reduce 277 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (516) ~ (all_0_36_36 = e3)
% 264.33/206.62 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (1072), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (1073) all_0_37_37 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (1073) can reduce 2658 to:
% 264.33/206.62 | (695) ~ (e4 = e3)
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 695 yields:
% 264.33/206.62 | (277) ~ (e4 = e3)
% 264.33/206.62 |
% 264.33/206.62 | Equations (1073) can reduce 515 to:
% 264.33/206.62 | (56) ~ (e3 = e2)
% 264.33/206.62 |
% 264.33/206.62 | Equations (1073) can reduce 387 to:
% 264.33/206.62 | (88) ~ (e3 = e0)
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (1502), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (999) all_0_22_22 = e1
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (831,999) yields a new equation:
% 264.33/206.62 | (955) e4 = e1
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 955 yields:
% 264.33/206.62 | (480) e4 = e1
% 264.33/206.62 |
% 264.33/206.62 | Equations (480) can reduce 65 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (1018) ~ (all_0_22_22 = e1)
% 264.33/206.62 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (2448), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (439) all_0_27_27 = e3
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (439,443) yields a new equation:
% 264.33/206.62 | (3874) e3 = e2
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 3874 yields:
% 264.33/206.62 | (764) e3 = e2
% 264.33/206.62 |
% 264.33/206.62 | Equations (764) can reduce 56 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (400) ~ (all_0_27_27 = e3)
% 264.33/206.62 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (443) can reduce 400 to:
% 264.33/206.62 | (658) ~ (e3 = e2)
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 658 yields:
% 264.33/206.62 | (56) ~ (e3 = e2)
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (309), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (1274) all_0_18_18 = e2
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (1134,1274) yields a new equation:
% 264.33/206.62 | (3874) e3 = e2
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 3874 yields:
% 264.33/206.62 | (764) e3 = e2
% 264.33/206.62 |
% 264.33/206.62 | Equations (764) can reduce 56 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (666) ~ (all_0_18_18 = e2)
% 264.33/206.62 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 264.33/206.62 |
% 264.33/206.62 | Equations (1134) can reduce 666 to:
% 264.33/206.62 | (56) ~ (e3 = e2)
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (1566), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (543) all_0_27_27 = e1
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (543,443) yields a new equation:
% 264.33/206.62 | (718) e2 = e1
% 264.33/206.62 |
% 264.33/206.62 | Equations (718) can reduce 329 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (402) ~ (all_0_27_27 = e1)
% 264.33/206.62 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (1586), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (1587) all_0_32_32 = e1
% 264.33/206.62 |
% 264.33/206.62 | Equations (1587) can reduce 1946 to:
% 264.33/206.62 | (37) ~ (e1 = e0)
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (7536), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (903) all_0_20_20 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (903) can reduce 564 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (564) ~ (all_0_20_20 = e3)
% 264.33/206.62 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (8890), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (2438) all_0_25_25 = e3
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (1158,2438) yields a new equation:
% 264.33/206.62 | (690) e4 = e3
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 690 yields:
% 264.33/206.62 | (691) e4 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (691) can reduce 277 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (566) ~ (all_0_25_25 = e3)
% 264.33/206.62 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (8920), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (759) all_0_30_30 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (759) can reduce 15 to:
% 264.33/206.62 | (2981) ~ (all_0_34_34 = e3)
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 2981 yields:
% 264.33/206.62 | (1031) ~ (all_0_34_34 = e3)
% 264.33/206.62 |
% 264.33/206.62 | Equations (759) can reduce 509 to:
% 264.33/206.62 | (695) ~ (e4 = e3)
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 695 yields:
% 264.33/206.62 | (277) ~ (e4 = e3)
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (230), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (927) all_0_19_19 = e3
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (711,927) yields a new equation:
% 264.33/206.62 | (690) e4 = e3
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 690 yields:
% 264.33/206.62 | (691) e4 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (691) can reduce 277 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (562) ~ (all_0_19_19 = e3)
% 264.33/206.62 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (931), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (939) all_0_24_24 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (939) can reduce 963 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (963) ~ (all_0_24_24 = e3)
% 264.33/206.62 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (964), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (1023) all_0_29_29 = e3
% 264.33/206.62 |
% 264.33/206.62 | Equations (1023) can reduce 724 to:
% 264.33/206.62 | (695) ~ (e4 = e3)
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 695 yields:
% 264.33/206.62 | (277) ~ (e4 = e3)
% 264.33/206.62 |
% 264.33/206.62 | Equations (1023) can reduce 383 to:
% 264.33/206.62 | (88) ~ (e3 = e0)
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (206), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (483) all_0_15_15 = e0
% 264.33/206.62 |
% 264.33/206.62 | Combining equations (476,483) yields a new equation:
% 264.33/206.62 | (960) e1 = e0
% 264.33/206.62 |
% 264.33/206.62 | Simplifying 960 yields:
% 264.33/206.62 | (961) e1 = e0
% 264.33/206.62 |
% 264.33/206.62 | Equations (961) can reduce 37 to:
% 264.33/206.62 | (366) $false
% 264.33/206.62 |
% 264.33/206.62 |-The branch is then unsatisfiable
% 264.33/206.62 |-Branch two:
% 264.33/206.62 | (463) ~ (all_0_15_15 = e0)
% 264.33/206.62 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (1889), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (835) all_0_20_20 = e0
% 264.33/206.62 |
% 264.33/206.62 | From (835) and (7457) follows:
% 264.33/206.62 | (7546) op(e0, e2) = e4
% 264.33/206.62 |
% 264.33/206.62 +-Applying beta-rule and splitting (7464), into two cases.
% 264.33/206.62 |-Branch one:
% 264.33/206.62 | (7547) ~ (op(e0, e2) = e4)
% 264.33/206.62 |
% 264.33/206.63 | Using (7546) and (7547) yields:
% 264.33/206.63 | (821) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (7546) op(e0, e2) = e4
% 264.33/206.63 | (1232) all_0_37_37 = e4
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (1232,1073) yields a new equation:
% 264.33/206.63 | (690) e4 = e3
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 690 yields:
% 264.33/206.63 | (691) e4 = e3
% 264.33/206.63 |
% 264.33/206.63 | Equations (691) can reduce 277 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (839) ~ (all_0_20_20 = e0)
% 264.33/206.63 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (127), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (790) all_0_30_30 = e0
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (759,790) yields a new equation:
% 264.33/206.63 | (979) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 979 yields:
% 264.33/206.63 | (980) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (980) can reduce 88 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (1878) ~ (all_0_30_30 = e0)
% 264.33/206.63 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (759) can reduce 1878 to:
% 264.33/206.63 | (88) ~ (e3 = e0)
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (185), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (1153) all_0_18_18 = e0
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (1134,1153) yields a new equation:
% 264.33/206.63 | (979) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 979 yields:
% 264.33/206.63 | (980) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (980) can reduce 88 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (1156) ~ (all_0_18_18 = e0)
% 264.33/206.63 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (1134) can reduce 1156 to:
% 264.33/206.63 | (88) ~ (e3 = e0)
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (241), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (1921) all_0_25_25 = e0
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (1158,1921) yields a new equation:
% 264.33/206.63 | (842) e4 = e0
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 842 yields:
% 264.33/206.63 | (490) e4 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (490) can reduce 287 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (1925) ~ (all_0_25_25 = e0)
% 264.33/206.63 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (1158) can reduce 1925 to:
% 264.33/206.63 | (287) ~ (e4 = e0)
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (1920), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (1921) all_0_25_25 = e0
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (1158,1921) yields a new equation:
% 264.33/206.63 | (842) e4 = e0
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 842 yields:
% 264.33/206.63 | (490) e4 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (490) can reduce 287 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (1925) ~ (all_0_25_25 = e0)
% 264.33/206.63 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (1938), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (790) all_0_30_30 = e0
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (759,790) yields a new equation:
% 264.33/206.63 | (979) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 979 yields:
% 264.33/206.63 | (980) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (980) can reduce 88 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (1878) ~ (all_0_30_30 = e0)
% 264.33/206.63 | (1203) all_0_35_35 = e0
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (797,1203) yields a new equation:
% 264.33/206.63 | (836) e2 = e0
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 836 yields:
% 264.33/206.63 | (551) e2 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (551) can reduce 347 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (898) ~ (all_0_29_29 = e3)
% 264.33/206.63 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (1026), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (1027) all_0_34_34 = e3
% 264.33/206.63 |
% 264.33/206.63 | Equations (1027) can reduce 1031 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (1031) ~ (all_0_34_34 = e3)
% 264.33/206.63 | (369) all_0_39_39 = e3
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (369,380) yields a new equation:
% 264.33/206.63 | (979) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 979 yields:
% 264.33/206.63 | (980) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (980) can reduce 88 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (568) ~ (all_0_30_30 = e3)
% 264.33/206.63 | (814) all_0_35_35 = e3
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (797,814) yields a new equation:
% 264.33/206.63 | (764) e3 = e2
% 264.33/206.63 |
% 264.33/206.63 | Equations (764) can reduce 56 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (424) ~ (all_0_32_32 = e1)
% 264.33/206.63 | (1590) all_0_37_37 = e1
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (1073,1590) yields a new equation:
% 264.33/206.63 | (933) e3 = e1
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 933 yields:
% 264.33/206.63 | (706) e3 = e1
% 264.33/206.63 |
% 264.33/206.63 | Equations (706) can reduce 318 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (777) ~ (all_0_37_37 = e3)
% 264.33/206.63 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (1076), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (1077) all_0_38_38 = e3
% 264.33/206.63 |
% 264.33/206.63 | Equations (1077) can reduce 1080 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (1080) ~ (all_0_38_38 = e3)
% 264.33/206.63 | (369) all_0_39_39 = e3
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (369,380) yields a new equation:
% 264.33/206.63 | (979) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Simplifying 979 yields:
% 264.33/206.63 | (980) e3 = e0
% 264.33/206.63 |
% 264.33/206.63 | Equations (980) can reduce 88 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (560) ~ (all_0_18_18 = e3)
% 264.33/206.63 | (927) all_0_19_19 = e3
% 264.33/206.63 |
% 264.33/206.63 | Combining equations (927,711) yields a new equation:
% 264.33/206.63 | (691) e4 = e3
% 264.33/206.63 |
% 264.33/206.63 | Equations (691) can reduce 277 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (2422) ~ (all_0_17_17 = e0)
% 264.33/206.63 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (1961), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (1970) all_0_17_17 = e3
% 264.33/206.63 |
% 264.33/206.63 | From (1970) and (1820) follows:
% 264.33/206.63 | (9409) op(e4, e3) = e4
% 264.33/206.63 |
% 264.33/206.63 +-Applying beta-rule and splitting (9090), into two cases.
% 264.33/206.63 |-Branch one:
% 264.33/206.63 | (9410) ~ (op(e4, e3) = e4)
% 264.33/206.63 |
% 264.33/206.63 | Using (9409) and (9410) yields:
% 264.33/206.63 | (821) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.63 |-Branch two:
% 264.33/206.63 | (9409) op(e4, e3) = e4
% 264.33/206.63 | (539) e4 = e2
% 264.33/206.63 |
% 264.33/206.63 | Equations (539) can reduce 19 to:
% 264.33/206.63 | (366) $false
% 264.33/206.63 |
% 264.33/206.63 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (558) ~ (all_0_17_17 = e3)
% 264.33/206.64 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (2515), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (847) all_0_22_22 = e0
% 264.33/206.64 |
% 264.33/206.64 | Combining equations (831,847) yields a new equation:
% 264.33/206.64 | (842) e4 = e0
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 842 yields:
% 264.33/206.64 | (490) e4 = e0
% 264.33/206.64 |
% 264.33/206.64 | Equations (490) can reduce 287 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (826) ~ (all_0_22_22 = e0)
% 264.33/206.64 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (2584), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (873) all_0_16_16 = e0
% 264.33/206.64 |
% 264.33/206.64 | Combining equations (873,697) yields a new equation:
% 264.33/206.64 | (551) e2 = e0
% 264.33/206.64 |
% 264.33/206.64 | Equations (551) can reduce 347 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (824) ~ (all_0_16_16 = e0)
% 264.33/206.64 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 264.33/206.64 |
% 264.33/206.64 | Equations (697) can reduce 824 to:
% 264.33/206.64 | (347) ~ (e2 = e0)
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (3101), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (546) all_0_27_27 = e0
% 264.33/206.64 |
% 264.33/206.64 | Combining equations (443,546) yields a new equation:
% 264.33/206.64 | (836) e2 = e0
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 836 yields:
% 264.33/206.64 | (551) e2 = e0
% 264.33/206.64 |
% 264.33/206.64 | Equations (551) can reduce 347 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (434) ~ (all_0_27_27 = e0)
% 264.33/206.64 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (3107), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (1626) all_0_32_32 = e0
% 264.33/206.64 |
% 264.33/206.64 | Equations (1626) can reduce 286 to:
% 264.33/206.64 | (2422) ~ (all_0_17_17 = e0)
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (1979), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (1980) all_0_17_17 = e2
% 264.33/206.64 |
% 264.33/206.64 | Equations (1980) can reduce 459 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (459) ~ (all_0_17_17 = e2)
% 264.33/206.64 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (1983), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (1498) all_0_17_17 = e1
% 264.33/206.64 |
% 264.33/206.64 | Equations (1498) can reduce 1501 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (1501) ~ (all_0_17_17 = e1)
% 264.33/206.64 | (823) all_0_17_17 = e0
% 264.33/206.64 |
% 264.33/206.64 | Equations (823) can reduce 2422 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (1946) ~ (all_0_32_32 = e0)
% 264.33/206.64 | (3111) all_0_37_37 = e0
% 264.33/206.64 |
% 264.33/206.64 | Equations (3111) can reduce 387 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (714) ~ (all_0_19_19 = e4)
% 264.33/206.64 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (864), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (865) all_0_17_17 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (865) can reduce 869 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (869) ~ (all_0_17_17 = e4)
% 264.33/206.64 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (870), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (887) all_0_18_18 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (887) can reduce 1046 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (1046) ~ (all_0_18_18 = e4)
% 264.33/206.64 | (711) all_0_19_19 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (711) can reduce 714 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (576) ~ (all_0_22_22 = e4)
% 264.33/206.64 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (694), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (701) all_0_16_16 = e4
% 264.33/206.64 |
% 264.33/206.64 | Combining equations (697,701) yields a new equation:
% 264.33/206.64 | (539) e4 = e2
% 264.33/206.64 |
% 264.33/206.64 | Equations (539) can reduce 19 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (573) ~ (all_0_16_16 = e4)
% 264.33/206.64 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (697) can reduce 573 to:
% 264.33/206.64 | (444) ~ (e4 = e2)
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 444 yields:
% 264.33/206.64 | (19) ~ (e4 = e2)
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (1152), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (435) all_0_27_27 = e4
% 264.33/206.64 |
% 264.33/206.64 | Combining equations (443,435) yields a new equation:
% 264.33/206.64 | (539) e4 = e2
% 264.33/206.64 |
% 264.33/206.64 | Equations (539) can reduce 19 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (404) ~ (all_0_27_27 = e4)
% 264.33/206.64 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (1222), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (1229) all_0_32_32 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (1229) can reduce 727 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (727) ~ (all_0_32_32 = e4)
% 264.33/206.64 | (1232) all_0_37_37 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (1232) can reduce 2658 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (501) ~ (all_0_25_25 = e4)
% 264.33/206.64 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (1217), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (1237) all_0_26_26 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (1237) can reduce 582 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (582) ~ (all_0_26_26 = e4)
% 264.33/206.64 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (8), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (464) all_0_15_15 = e4
% 264.33/206.64 |
% 264.33/206.64 | Combining equations (464,476) yields a new equation:
% 264.33/206.64 | (955) e4 = e1
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 955 yields:
% 264.33/206.64 | (480) e4 = e1
% 264.33/206.64 |
% 264.33/206.64 | Equations (480) can reduce 65 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (460) ~ (all_0_15_15 = e4)
% 264.33/206.64 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (1240), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (435) all_0_27_27 = e4
% 264.33/206.64 |
% 264.33/206.64 | Combining equations (443,435) yields a new equation:
% 264.33/206.64 | (539) e4 = e2
% 264.33/206.64 |
% 264.33/206.64 | Equations (539) can reduce 19 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (404) ~ (all_0_27_27 = e4)
% 264.33/206.64 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (1245), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (892) all_0_28_28 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (892) can reduce 890 to:
% 264.33/206.64 | (366) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (890) ~ (all_0_28_28 = e4)
% 264.33/206.64 | (1250) all_0_29_29 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (1250) can reduce 229 to:
% 264.33/206.64 | (714) ~ (all_0_19_19 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Equations (1250) can reduce 62 to:
% 264.33/206.64 | (501) ~ (all_0_25_25 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Equations (1250) can reduce 38 to:
% 264.33/206.64 | (582) ~ (all_0_26_26 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Equations (1250) can reduce 73 to:
% 264.33/206.64 | (890) ~ (all_0_28_28 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Equations (1250) can reduce 651 to:
% 264.33/206.64 | (19) ~ (e4 = e2)
% 264.33/206.64 |
% 264.33/206.64 | Equations (1250) can reduce 383 to:
% 264.33/206.64 | (287) ~ (e4 = e0)
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (914), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (1453) all_0_20_20 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (1453) can reduce 211 to:
% 264.33/206.64 | (575) ~ (all_0_22_22 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 575 yields:
% 264.33/206.64 | (576) ~ (all_0_22_22 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Equations (1453) can reduce 167 to:
% 264.33/206.64 | (579) ~ (all_0_24_24 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 579 yields:
% 264.33/206.64 | (580) ~ (all_0_24_24 = e4)
% 264.33/206.64 |
% 264.33/206.64 | From (1453) and (7456) follows:
% 264.33/206.64 | (7783) op(e2, e4) = e3
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (59), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (865) all_0_17_17 = e4
% 264.33/206.64 |
% 264.33/206.64 | Equations (865) can reduce 333 to:
% 264.33/206.64 | (6514) ~ (all_0_19_19 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 6514 yields:
% 264.33/206.64 | (714) ~ (all_0_19_19 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Equations (865) can reduce 184 to:
% 264.33/206.64 | (575) ~ (all_0_22_22 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 575 yields:
% 264.33/206.64 | (576) ~ (all_0_22_22 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Equations (865) can reduce 286 to:
% 264.33/206.64 | (1495) ~ (all_0_32_32 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 1495 yields:
% 264.33/206.64 | (727) ~ (all_0_32_32 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Equations (865) can reduce 132 to:
% 264.33/206.64 | (3299) ~ (all_0_37_37 = e4)
% 264.33/206.64 |
% 264.33/206.64 | Simplifying 3299 yields:
% 264.33/206.64 | (2658) ~ (all_0_37_37 = e4)
% 264.33/206.64 |
% 264.33/206.64 +-Applying beta-rule and splitting (7465), into two cases.
% 264.33/206.64 |-Branch one:
% 264.33/206.64 | (7790) ~ (op(e2, e4) = e3)
% 264.33/206.64 |
% 264.33/206.64 | Using (7783) and (7790) yields:
% 264.33/206.64 | (821) $false
% 264.33/206.64 |
% 264.33/206.64 |-The branch is then unsatisfiable
% 264.33/206.64 |-Branch two:
% 264.33/206.64 | (7783) op(e2, e4) = e3
% 264.33/206.64 | (2438) all_0_25_25 = e3
% 264.33/206.64 |
% 264.33/206.64 | Equations (2438) can reduce 128 to:
% 264.33/206.64 | (5499) ~ (all_0_26_26 = e3)
% 264.33/206.64 |
% 264.33/206.65 | Simplifying 5499 yields:
% 264.33/206.65 | (504) ~ (all_0_26_26 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (2438) can reduce 193 to:
% 264.33/206.65 | (7575) ~ (all_0_28_28 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 7575 yields:
% 264.33/206.65 | (1035) ~ (all_0_28_28 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (2438) can reduce 58 to:
% 264.33/206.65 | (567) ~ (all_0_30_30 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 567 yields:
% 264.33/206.65 | (568) ~ (all_0_30_30 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (2438) can reduce 98 to:
% 264.33/206.65 | (569) ~ (all_0_35_35 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 569 yields:
% 264.33/206.65 | (570) ~ (all_0_35_35 = e3)
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (225), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (711) all_0_19_19 = e4
% 264.33/206.65 |
% 264.33/206.65 | Equations (711) can reduce 714 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (714) ~ (all_0_19_19 = e4)
% 264.33/206.65 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (206), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (483) all_0_15_15 = e0
% 264.33/206.65 |
% 264.33/206.65 | Combining equations (483,476) yields a new equation:
% 264.33/206.65 | (961) e1 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (961) can reduce 37 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (463) ~ (all_0_15_15 = e0)
% 264.33/206.65 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (4311), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (927) all_0_19_19 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (927) can reduce 337 to:
% 264.33/206.65 | (560) ~ (all_0_18_18 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (927) can reduce 87 to:
% 264.33/206.65 | (3506) ~ (all_0_24_24 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 3506 yields:
% 264.33/206.65 | (963) ~ (all_0_24_24 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (927) can reduce 280 to:
% 264.33/206.65 | (2981) ~ (all_0_34_34 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 2981 yields:
% 264.33/206.65 | (1031) ~ (all_0_34_34 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (927) can reduce 714 to:
% 264.33/206.65 | (695) ~ (e4 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 695 yields:
% 264.33/206.65 | (277) ~ (e4 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (927) can reduce 381 to:
% 264.33/206.65 | (88) ~ (e3 = e0)
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (1889), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (835) all_0_20_20 = e0
% 264.33/206.65 |
% 264.33/206.65 | Combining equations (1453,835) yields a new equation:
% 264.33/206.65 | (842) e4 = e0
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 842 yields:
% 264.33/206.65 | (490) e4 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (490) can reduce 287 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (839) ~ (all_0_20_20 = e0)
% 264.33/206.65 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (1453) can reduce 839 to:
% 264.33/206.65 | (287) ~ (e4 = e0)
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (1181), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (814) all_0_35_35 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (814) can reduce 570 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (570) ~ (all_0_35_35 = e3)
% 264.33/206.65 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (1920), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (1921) all_0_25_25 = e0
% 264.33/206.65 |
% 264.33/206.65 | Combining equations (1921,2438) yields a new equation:
% 264.33/206.65 | (980) e3 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (980) can reduce 88 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (1925) ~ (all_0_25_25 = e0)
% 264.33/206.65 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (2438) can reduce 1925 to:
% 264.33/206.65 | (88) ~ (e3 = e0)
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (269), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (1134) all_0_18_18 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (1134) can reduce 560 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (560) ~ (all_0_18_18 = e3)
% 264.33/206.65 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (1047), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (1134) all_0_18_18 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (1134) can reduce 560 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (560) ~ (all_0_18_18 = e3)
% 264.33/206.65 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (155), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (759) all_0_30_30 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (759) can reduce 568 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (568) ~ (all_0_30_30 = e3)
% 264.33/206.65 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (2584), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (873) all_0_16_16 = e0
% 264.33/206.65 |
% 264.33/206.65 | Combining equations (873,697) yields a new equation:
% 264.33/206.65 | (551) e2 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (551) can reduce 347 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (824) ~ (all_0_16_16 = e0)
% 264.33/206.65 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (2692), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (823) all_0_17_17 = e0
% 264.33/206.65 |
% 264.33/206.65 | Combining equations (823,865) yields a new equation:
% 264.33/206.65 | (490) e4 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (490) can reduce 287 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (2422) ~ (all_0_17_17 = e0)
% 264.33/206.65 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (2697), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (1153) all_0_18_18 = e0
% 264.33/206.65 |
% 264.33/206.65 | Combining equations (1153,6638) yields a new equation:
% 264.33/206.65 | (6780) all_0_11_11 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (1153) can reduce 300 to:
% 264.33/206.65 | (885) ~ (all_0_28_28 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 885 yields:
% 264.33/206.65 | (886) ~ (all_0_28_28 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Equations (1153) can reduce 142 to:
% 264.33/206.65 | (1285) ~ (all_0_38_38 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 1285 yields:
% 264.33/206.65 | (388) ~ (all_0_38_38 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Equations (1153) can reduce 560 to:
% 264.33/206.65 | (391) ~ (e3 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 391 yields:
% 264.33/206.65 | (88) ~ (e3 = e0)
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (338), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (892) all_0_28_28 = e4
% 264.33/206.65 |
% 264.33/206.65 | Equations (892) can reduce 890 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (890) ~ (all_0_28_28 = e4)
% 264.33/206.65 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (241), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (1921) all_0_25_25 = e0
% 264.33/206.65 |
% 264.33/206.65 | Combining equations (2438,1921) yields a new equation:
% 264.33/206.65 | (979) e3 = e0
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 979 yields:
% 264.33/206.65 | (980) e3 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (980) can reduce 88 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (1925) ~ (all_0_25_25 = e0)
% 264.33/206.65 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (762), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (763) all_0_31_31 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (763) can reduce 510 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (510) ~ (all_0_31_31 = e3)
% 264.33/206.65 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (1926), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (883) all_0_26_26 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (883) can reduce 145 to:
% 264.33/206.65 | (1856) ~ (all_0_31_31 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 1856 yields:
% 264.33/206.65 | (1064) ~ (all_0_31_31 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Equations (883) can reduce 582 to:
% 264.33/206.65 | (389) ~ (e4 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 389 yields:
% 264.33/206.65 | (287) ~ (e4 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Equations (883) can reduce 504 to:
% 264.33/206.65 | (391) ~ (e3 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 391 yields:
% 264.33/206.65 | (88) ~ (e3 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Equations (883) can reduce 647 to:
% 264.33/206.65 | (393) ~ (e2 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 393 yields:
% 264.33/206.65 | (347) ~ (e2 = e0)
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (767), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (772) all_0_32_32 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (772) can reduce 63 to:
% 264.33/206.65 | (774) ~ (all_0_22_22 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (772) can reduce 186 to:
% 264.33/206.65 | (568) ~ (all_0_30_30 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (772) can reduce 247 to:
% 264.33/206.65 | (510) ~ (all_0_31_31 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (772) can reduce 336 to:
% 264.33/206.65 | (776) ~ (all_0_37_37 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 776 yields:
% 264.33/206.65 | (777) ~ (all_0_37_37 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Equations (772) can reduce 727 to:
% 264.33/206.65 | (695) ~ (e4 = e3)
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 695 yields:
% 264.33/206.65 | (277) ~ (e4 = e3)
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (164), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (814) all_0_35_35 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (814) can reduce 570 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (570) ~ (all_0_35_35 = e3)
% 264.33/206.65 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (222), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (823) all_0_17_17 = e0
% 264.33/206.65 |
% 264.33/206.65 | Combining equations (865,823) yields a new equation:
% 264.33/206.65 | (842) e4 = e0
% 264.33/206.65 |
% 264.33/206.65 | Simplifying 842 yields:
% 264.33/206.65 | (490) e4 = e0
% 264.33/206.65 |
% 264.33/206.65 | Equations (490) can reduce 287 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (2422) ~ (all_0_17_17 = e0)
% 264.33/206.65 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (115), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (1446) all_0_31_31 = e4
% 264.33/206.65 |
% 264.33/206.65 | Equations (1446) can reduce 584 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (584) ~ (all_0_31_31 = e4)
% 264.33/206.65 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (271), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (1232) all_0_37_37 = e4
% 264.33/206.65 |
% 264.33/206.65 | Equations (1232) can reduce 2658 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (2658) ~ (all_0_37_37 = e4)
% 264.33/206.65 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (1631), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (763) all_0_31_31 = e3
% 264.33/206.65 |
% 264.33/206.65 | Equations (763) can reduce 510 to:
% 264.33/206.65 | (366) $false
% 264.33/206.65 |
% 264.33/206.65 |-The branch is then unsatisfiable
% 264.33/206.65 |-Branch two:
% 264.33/206.65 | (510) ~ (all_0_31_31 = e3)
% 264.33/206.65 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 264.33/206.65 |
% 264.33/206.65 +-Applying beta-rule and splitting (5480), into two cases.
% 264.33/206.65 |-Branch one:
% 264.33/206.65 | (6808) all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 264.33/206.65 |
% 264.33/206.65 | Applying alpha-rule on (6808) yields:
% 264.33/206.65 | (6638) all_0_11_11 = all_0_18_18
% 264.33/206.65 | (1156) ~ (all_0_18_18 = e0)
% 264.33/206.65 |
% 264.33/206.66 | Combining equations (6638,6780) yields a new equation:
% 264.33/206.66 | (6811) all_0_18_18 = e0
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 6811 yields:
% 264.33/206.66 | (1153) all_0_18_18 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (1153) can reduce 1156 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (8208) all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10))
% 264.33/206.66 |
% 264.33/206.66 | Applying alpha-rule on (8208) yields:
% 264.33/206.66 | (6638) all_0_11_11 = all_0_18_18
% 264.33/206.66 | (8210) ( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_18_18, all_0_18_18) = all_0_10_10)
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (6638,6780) yields a new equation:
% 264.33/206.66 | (6811) all_0_18_18 = e0
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 6811 yields:
% 264.33/206.66 | (1153) all_0_18_18 = e0
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (3872), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (1073) all_0_37_37 = e3
% 264.33/206.66 |
% 264.33/206.66 | Equations (1073) can reduce 777 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (777) ~ (all_0_37_37 = e3)
% 264.33/206.66 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (1635), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (751) all_0_31_31 = e2
% 264.33/206.66 |
% 264.33/206.66 | Equations (751) can reduce 1099 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (1099) ~ (all_0_31_31 = e2)
% 264.33/206.66 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (1639), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (1010) all_0_31_31 = e1
% 264.33/206.66 |
% 264.33/206.66 | Equations (1010) can reduce 510 to:
% 264.33/206.66 | (429) ~ (e3 = e1)
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 429 yields:
% 264.33/206.66 | (318) ~ (e3 = e1)
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (3886), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (805) all_0_37_37 = e2
% 264.33/206.66 |
% 264.33/206.66 | Equations (805) can reduce 515 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (515) ~ (all_0_37_37 = e2)
% 264.33/206.66 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (32), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (716) all_0_19_19 = e1
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (927,716) yields a new equation:
% 264.33/206.66 | (933) e3 = e1
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 933 yields:
% 264.33/206.66 | (706) e3 = e1
% 264.33/206.66 |
% 264.33/206.66 | Equations (706) can reduce 318 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (720) ~ (all_0_19_19 = e1)
% 264.33/206.66 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (3890), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (1590) all_0_37_37 = e1
% 264.33/206.66 |
% 264.33/206.66 | Equations (1590) can reduce 387 to:
% 264.33/206.66 | (37) ~ (e1 = e0)
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (2515), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (847) all_0_22_22 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (847) can reduce 268 to:
% 264.33/206.66 | (9686) ~ (all_0_24_24 = e0)
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 9686 yields:
% 264.33/206.66 | (382) ~ (all_0_24_24 = e0)
% 264.33/206.66 |
% 264.33/206.66 | Equations (847) can reduce 576 to:
% 264.33/206.66 | (389) ~ (e4 = e0)
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 389 yields:
% 264.33/206.66 | (287) ~ (e4 = e0)
% 264.33/206.66 |
% 264.33/206.66 | Equations (847) can reduce 774 to:
% 264.33/206.66 | (391) ~ (e3 = e0)
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 391 yields:
% 264.33/206.66 | (88) ~ (e3 = e0)
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (721), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (940) all_0_24_24 = e1
% 264.33/206.66 |
% 264.33/206.66 | Equations (940) can reduce 963 to:
% 264.33/206.66 | (429) ~ (e3 = e1)
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 429 yields:
% 264.33/206.66 | (318) ~ (e3 = e1)
% 264.33/206.66 |
% 264.33/206.66 | Equations (940) can reduce 382 to:
% 264.33/206.66 | (37) ~ (e1 = e0)
% 264.33/206.66 |
% 264.33/206.66 | From (940) and (7478) follows:
% 264.33/206.66 | (7889) op(e4, e1) = e3
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (127), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (790) all_0_30_30 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (790) can reduce 568 to:
% 264.33/206.66 | (391) ~ (e3 = e0)
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 391 yields:
% 264.33/206.66 | (88) ~ (e3 = e0)
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (7480), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (7894) ~ (op(e4, e1) = e3)
% 264.33/206.66 |
% 264.33/206.66 | Using (7889) and (7894) yields:
% 264.33/206.66 | (821) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (7889) op(e4, e1) = e3
% 264.33/206.66 | (1134) all_0_18_18 = e3
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (1134,1153) yields a new equation:
% 264.33/206.66 | (979) e3 = e0
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 979 yields:
% 264.33/206.66 | (980) e3 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (980) can reduce 88 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (1878) ~ (all_0_30_30 = e0)
% 264.33/206.66 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (817), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (818) all_0_36_36 = e3
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (818,2611) yields a new equation:
% 264.33/206.66 | (691) e4 = e3
% 264.33/206.66 |
% 264.33/206.66 | Equations (691) can reduce 277 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (516) ~ (all_0_36_36 = e3)
% 264.33/206.66 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (1072), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (1073) all_0_37_37 = e3
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (1590,1073) yields a new equation:
% 264.33/206.66 | (706) e3 = e1
% 264.33/206.66 |
% 264.33/206.66 | Equations (706) can reduce 318 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (777) ~ (all_0_37_37 = e3)
% 264.33/206.66 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (1076), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (1077) all_0_38_38 = e3
% 264.33/206.66 |
% 264.33/206.66 | Equations (1077) can reduce 388 to:
% 264.33/206.66 | (88) ~ (e3 = e0)
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (1879), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (1060) all_0_31_31 = e0
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (1010,1060) yields a new equation:
% 264.33/206.66 | (960) e1 = e0
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 960 yields:
% 264.33/206.66 | (961) e1 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (961) can reduce 37 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (1064) ~ (all_0_31_31 = e0)
% 264.33/206.66 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (1883), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (1626) all_0_32_32 = e0
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (772,1626) yields a new equation:
% 264.33/206.66 | (979) e3 = e0
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 979 yields:
% 264.33/206.66 | (980) e3 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (980) can reduce 88 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (1946) ~ (all_0_32_32 = e0)
% 264.33/206.66 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (1947), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (1254) all_0_33_33 = e0
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (406,1254) yields a new equation:
% 264.33/206.66 | (842) e4 = e0
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 842 yields:
% 264.33/206.66 | (490) e4 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (490) can reduce 287 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (399) ~ (all_0_33_33 = e0)
% 264.33/206.66 | (1717) all_0_34_34 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (1717) can reduce 384 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (1080) ~ (all_0_38_38 = e3)
% 264.33/206.66 | (369) all_0_39_39 = e3
% 264.33/206.66 |
% 264.33/206.66 | Combining equations (369,380) yields a new equation:
% 264.33/206.66 | (979) e3 = e0
% 264.33/206.66 |
% 264.33/206.66 | Simplifying 979 yields:
% 264.33/206.66 | (980) e3 = e0
% 264.33/206.66 |
% 264.33/206.66 | Equations (980) can reduce 88 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (943) ~ (all_0_24_24 = e1)
% 264.33/206.66 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (154), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (685) all_0_24_24 = e4
% 264.33/206.66 |
% 264.33/206.66 | Equations (685) can reduce 580 to:
% 264.33/206.66 | (366) $false
% 264.33/206.66 |
% 264.33/206.66 |-The branch is then unsatisfiable
% 264.33/206.66 |-Branch two:
% 264.33/206.66 | (580) ~ (all_0_24_24 = e4)
% 264.33/206.66 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.33/206.66 |
% 264.33/206.66 +-Applying beta-rule and splitting (688), into two cases.
% 264.33/206.66 |-Branch one:
% 264.33/206.66 | (939) all_0_24_24 = e3
% 264.33/206.66 |
% 264.33/206.67 | Equations (939) can reduce 963 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (963) ~ (all_0_24_24 = e3)
% 264.33/206.67 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (968), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (1393) all_0_24_24 = e2
% 264.33/206.67 |
% 264.33/206.67 | From (1393) and (7478) follows:
% 264.33/206.67 | (6582) op(e4, e2) = e3
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (6528), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (6609) ~ (op(e4, e2) = e3)
% 264.33/206.67 |
% 264.33/206.67 | Using (6582) and (6609) yields:
% 264.33/206.67 | (821) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (6582) op(e4, e2) = e3
% 264.33/206.67 | (1970) all_0_17_17 = e3
% 264.33/206.67 |
% 264.33/206.67 | Combining equations (1970,865) yields a new equation:
% 264.33/206.67 | (691) e4 = e3
% 264.33/206.67 |
% 264.33/206.67 | Equations (691) can reduce 277 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (668) ~ (all_0_24_24 = e2)
% 264.33/206.67 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (2760), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (940) all_0_24_24 = e1
% 264.33/206.67 |
% 264.33/206.67 | Equations (940) can reduce 943 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (943) ~ (all_0_24_24 = e1)
% 264.33/206.67 | (1069) all_0_24_24 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (1069) can reduce 382 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (826) ~ (all_0_22_22 = e0)
% 264.33/206.67 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (3101), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (546) all_0_27_27 = e0
% 264.33/206.67 |
% 264.33/206.67 | Combining equations (443,546) yields a new equation:
% 264.33/206.67 | (836) e2 = e0
% 264.33/206.67 |
% 264.33/206.67 | Simplifying 836 yields:
% 264.33/206.67 | (551) e2 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (551) can reduce 347 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (434) ~ (all_0_27_27 = e0)
% 264.33/206.67 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (3107), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (1626) all_0_32_32 = e0
% 264.33/206.67 |
% 264.33/206.67 | Combining equations (772,1626) yields a new equation:
% 264.33/206.67 | (979) e3 = e0
% 264.33/206.67 |
% 264.33/206.67 | Simplifying 979 yields:
% 264.33/206.67 | (980) e3 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (980) can reduce 88 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (1946) ~ (all_0_32_32 = e0)
% 264.33/206.67 | (3111) all_0_37_37 = e0
% 264.33/206.67 |
% 264.33/206.67 | Combining equations (1590,3111) yields a new equation:
% 264.33/206.67 | (960) e1 = e0
% 264.33/206.67 |
% 264.33/206.67 | Simplifying 960 yields:
% 264.33/206.67 | (961) e1 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (961) can reduce 37 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (2562) ~ (all_0_37_37 = e1)
% 264.33/206.67 | (3111) all_0_37_37 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (3111) can reduce 387 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (423) ~ (all_0_31_31 = e1)
% 264.33/206.67 | (1060) all_0_31_31 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (1060) can reduce 1064 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (1089) ~ (all_0_32_32 = e3)
% 264.33/206.67 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (1090), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (410) all_0_33_33 = e3
% 264.33/206.67 |
% 264.33/206.67 | Combining equations (406,410) yields a new equation:
% 264.33/206.67 | (690) e4 = e3
% 264.33/206.67 |
% 264.33/206.67 | Simplifying 690 yields:
% 264.33/206.67 | (691) e4 = e3
% 264.33/206.67 |
% 264.33/206.67 | Equations (691) can reduce 277 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (403) ~ (all_0_33_33 = e3)
% 264.33/206.67 | (1027) all_0_34_34 = e3
% 264.33/206.67 |
% 264.33/206.67 | Equations (1027) can reduce 1031 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (1058) ~ (all_0_26_26 = e0)
% 264.33/206.67 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (895), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (896) all_0_28_28 = e3
% 264.33/206.67 |
% 264.33/206.67 | Equations (896) can reduce 1035 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (1035) ~ (all_0_28_28 = e3)
% 264.33/206.67 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (182), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (1237) all_0_26_26 = e4
% 264.33/206.67 |
% 264.33/206.67 | Equations (1237) can reduce 582 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (582) ~ (all_0_26_26 = e4)
% 264.33/206.67 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (1036), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (1037) all_0_28_28 = e2
% 264.33/206.67 |
% 264.33/206.67 | Equations (1037) can reduce 649 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (649) ~ (all_0_28_28 = e2)
% 264.33/206.67 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (5353), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (2443) all_0_26_26 = e3
% 264.33/206.67 |
% 264.33/206.67 | Equations (2443) can reduce 504 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (504) ~ (all_0_26_26 = e3)
% 264.33/206.67 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (1040), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (1041) all_0_28_28 = e1
% 264.33/206.67 |
% 264.33/206.67 | Equations (1041) can reduce 46 to:
% 264.33/206.67 | (1008) ~ (all_0_26_26 = e1)
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (5357), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (2380) all_0_26_26 = e2
% 264.33/206.67 |
% 264.33/206.67 | Equations (2380) can reduce 647 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (647) ~ (all_0_26_26 = e2)
% 264.33/206.67 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 264.33/206.67 |
% 264.33/206.67 +-Applying beta-rule and splitting (5361), into two cases.
% 264.33/206.67 |-Branch one:
% 264.33/206.67 | (1005) all_0_26_26 = e1
% 264.33/206.67 |
% 264.33/206.67 | Equations (1005) can reduce 1008 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (1008) ~ (all_0_26_26 = e1)
% 264.33/206.67 | (883) all_0_26_26 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (883) can reduce 1058 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (421) ~ (all_0_28_28 = e1)
% 264.33/206.67 | (1044) all_0_28_28 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (1044) can reduce 886 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.67 |-Branch two:
% 264.33/206.67 | (1156) ~ (all_0_18_18 = e0)
% 264.33/206.67 | (2703) all_0_19_19 = e0
% 264.33/206.67 |
% 264.33/206.67 | Combining equations (2703,927) yields a new equation:
% 264.33/206.67 | (980) e3 = e0
% 264.33/206.67 |
% 264.33/206.67 | Equations (980) can reduce 88 to:
% 264.33/206.67 | (366) $false
% 264.33/206.67 |
% 264.33/206.67 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (562) ~ (all_0_19_19 = e3)
% 264.33/206.68 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (2584), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (873) all_0_16_16 = e0
% 264.33/206.68 |
% 264.33/206.68 | Combining equations (873,697) yields a new equation:
% 264.33/206.68 | (551) e2 = e0
% 264.33/206.68 |
% 264.33/206.68 | Equations (551) can reduce 347 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (824) ~ (all_0_16_16 = e0)
% 264.33/206.68 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (2692), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (823) all_0_17_17 = e0
% 264.33/206.68 |
% 264.33/206.68 | Combining equations (823,865) yields a new equation:
% 264.33/206.68 | (490) e4 = e0
% 264.33/206.68 |
% 264.33/206.68 | Equations (490) can reduce 287 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (2422) ~ (all_0_17_17 = e0)
% 264.33/206.68 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (2697), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (1153) all_0_18_18 = e0
% 264.33/206.68 |
% 264.33/206.68 | Equations (1153) can reduce 337 to:
% 264.33/206.68 | (5576) ~ (all_0_19_19 = e0)
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 5576 yields:
% 264.33/206.68 | (381) ~ (all_0_19_19 = e0)
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (4315), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (663) all_0_19_19 = e2
% 264.33/206.68 |
% 264.33/206.68 | Equations (663) can reduce 2785 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (2785) ~ (all_0_19_19 = e2)
% 264.33/206.68 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (4319), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (716) all_0_19_19 = e1
% 264.33/206.68 |
% 264.33/206.68 | Equations (716) can reduce 720 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (720) ~ (all_0_19_19 = e1)
% 264.33/206.68 | (2703) all_0_19_19 = e0
% 264.33/206.68 |
% 264.33/206.68 | Equations (2703) can reduce 381 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (1156) ~ (all_0_18_18 = e0)
% 264.33/206.68 | (2703) all_0_19_19 = e0
% 264.33/206.68 |
% 264.33/206.68 | Equations (2703) can reduce 381 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (869) ~ (all_0_17_17 = e4)
% 264.33/206.68 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (1148), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (831) all_0_22_22 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (831) can reduce 576 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (576) ~ (all_0_22_22 = e4)
% 264.33/206.68 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (1152), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (435) all_0_27_27 = e4
% 264.33/206.68 |
% 264.33/206.68 | Combining equations (443,435) yields a new equation:
% 264.33/206.68 | (539) e4 = e2
% 264.33/206.68 |
% 264.33/206.68 | Equations (539) can reduce 19 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (404) ~ (all_0_27_27 = e4)
% 264.33/206.68 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (443) can reduce 404 to:
% 264.33/206.68 | (444) ~ (e4 = e2)
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 444 yields:
% 264.33/206.68 | (19) ~ (e4 = e2)
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (225), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (711) all_0_19_19 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (711) can reduce 714 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (714) ~ (all_0_19_19 = e4)
% 264.33/206.68 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (694), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (701) all_0_16_16 = e4
% 264.33/206.68 |
% 264.33/206.68 | Combining equations (697,701) yields a new equation:
% 264.33/206.68 | (539) e4 = e2
% 264.33/206.68 |
% 264.33/206.68 | Equations (539) can reduce 19 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (573) ~ (all_0_16_16 = e4)
% 264.33/206.68 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (864), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (865) all_0_17_17 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (865) can reduce 869 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (869) ~ (all_0_17_17 = e4)
% 264.33/206.68 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (870), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (887) all_0_18_18 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (887) can reduce 1046 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (1046) ~ (all_0_18_18 = e4)
% 264.33/206.68 | (711) all_0_19_19 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (711) can reduce 714 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (496) ~ (all_0_20_20 = e4)
% 264.33/206.68 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (1456), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (1158) all_0_25_25 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (1158) can reduce 501 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (501) ~ (all_0_25_25 = e4)
% 264.33/206.68 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (1460), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (768) all_0_30_30 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (768) can reduce 509 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (509) ~ (all_0_30_30 = e4)
% 264.33/206.68 | (1161) all_0_35_35 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (1161) can reduce 514 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (586) ~ (all_0_36_36 = e4)
% 264.33/206.68 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (163), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (701) all_0_16_16 = e4
% 264.33/206.68 |
% 264.33/206.68 | Combining equations (697,701) yields a new equation:
% 264.33/206.68 | (539) e4 = e2
% 264.33/206.68 |
% 264.33/206.68 | Equations (539) can reduce 19 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (573) ~ (all_0_16_16 = e4)
% 264.33/206.68 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (6243), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (449) all_0_21_21 = e4
% 264.33/206.68 |
% 264.33/206.68 | Combining equations (453,449) yields a new equation:
% 264.33/206.68 | (691) e4 = e3
% 264.33/206.68 |
% 264.33/206.68 | Equations (691) can reduce 277 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (448) ~ (all_0_21_21 = e4)
% 264.33/206.68 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (6248), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (1237) all_0_26_26 = e4
% 264.33/206.68 |
% 264.33/206.68 | Equations (1237) can reduce 128 to:
% 264.33/206.68 | (501) ~ (all_0_25_25 = e4)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1237) can reduce 145 to:
% 264.33/206.68 | (583) ~ (all_0_31_31 = e4)
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 583 yields:
% 264.33/206.68 | (584) ~ (all_0_31_31 = e4)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1237) can reduce 170 to:
% 264.33/206.68 | (585) ~ (all_0_36_36 = e4)
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 585 yields:
% 264.33/206.68 | (586) ~ (all_0_36_36 = e4)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1237) can reduce 504 to:
% 264.33/206.68 | (277) ~ (e4 = e3)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1237) can reduce 647 to:
% 264.33/206.68 | (19) ~ (e4 = e2)
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (2614), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (818) all_0_36_36 = e3
% 264.33/206.68 |
% 264.33/206.68 | Equations (818) can reduce 516 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (516) ~ (all_0_36_36 = e3)
% 264.33/206.68 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (876), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (529) all_0_21_21 = e0
% 264.33/206.68 |
% 264.33/206.68 | Combining equations (453,529) yields a new equation:
% 264.33/206.68 | (979) e3 = e0
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 979 yields:
% 264.33/206.68 | (980) e3 = e0
% 264.33/206.68 |
% 264.33/206.68 | Equations (980) can reduce 88 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (398) ~ (all_0_21_21 = e0)
% 264.33/206.68 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (3567), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (801) all_0_36_36 = e2
% 264.33/206.68 |
% 264.33/206.68 | Equations (801) can reduce 756 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (756) ~ (all_0_36_36 = e2)
% 264.33/206.68 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (882), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (883) all_0_26_26 = e0
% 264.33/206.68 |
% 264.33/206.68 | Combining equations (1237,883) yields a new equation:
% 264.33/206.68 | (842) e4 = e0
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 842 yields:
% 264.33/206.68 | (490) e4 = e0
% 264.33/206.68 |
% 264.33/206.68 | Equations (490) can reduce 287 to:
% 264.33/206.68 | (366) $false
% 264.33/206.68 |
% 264.33/206.68 |-The branch is then unsatisfiable
% 264.33/206.68 |-Branch two:
% 264.33/206.68 | (1058) ~ (all_0_26_26 = e0)
% 264.33/206.68 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (3571), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (1015) all_0_36_36 = e1
% 264.33/206.68 |
% 264.33/206.68 | Equations (1015) can reduce 7 to:
% 264.33/206.68 | (423) ~ (all_0_31_31 = e1)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1015) can reduce 586 to:
% 264.33/206.68 | (477) ~ (e4 = e1)
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 477 yields:
% 264.33/206.68 | (65) ~ (e4 = e1)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1015) can reduce 516 to:
% 264.33/206.68 | (429) ~ (e3 = e1)
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 429 yields:
% 264.33/206.68 | (318) ~ (e3 = e1)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1015) can reduce 756 to:
% 264.33/206.68 | (1002) ~ (e2 = e1)
% 264.33/206.68 |
% 264.33/206.68 | Simplifying 1002 yields:
% 264.33/206.68 | (329) ~ (e2 = e1)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1015) can reduce 386 to:
% 264.33/206.68 | (37) ~ (e1 = e0)
% 264.33/206.68 |
% 264.33/206.68 +-Applying beta-rule and splitting (1059), into two cases.
% 264.33/206.68 |-Branch one:
% 264.33/206.68 | (1060) all_0_31_31 = e0
% 264.33/206.68 |
% 264.33/206.68 | Equations (1060) can reduce 217 to:
% 264.33/206.68 | (1878) ~ (all_0_30_30 = e0)
% 264.33/206.68 |
% 264.33/206.68 | Equations (1060) can reduce 247 to:
% 264.33/206.68 | (2961) ~ (all_0_32_32 = e0)
% 264.33/206.68 |
% 264.33/206.69 | Simplifying 2961 yields:
% 264.33/206.69 | (1946) ~ (all_0_32_32 = e0)
% 264.33/206.69 |
% 264.33/206.69 | Equations (1060) can reduce 584 to:
% 264.33/206.69 | (389) ~ (e4 = e0)
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 389 yields:
% 264.33/206.69 | (287) ~ (e4 = e0)
% 264.33/206.69 |
% 264.33/206.69 | Equations (1060) can reduce 510 to:
% 264.33/206.69 | (391) ~ (e3 = e0)
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 391 yields:
% 264.33/206.69 | (88) ~ (e3 = e0)
% 264.33/206.69 |
% 264.33/206.69 | Equations (1060) can reduce 1099 to:
% 264.33/206.69 | (393) ~ (e2 = e0)
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 393 yields:
% 264.33/206.69 | (347) ~ (e2 = e0)
% 264.33/206.69 |
% 264.33/206.69 | Equations (1060) can reduce 423 to:
% 264.33/206.69 | (395) ~ (e1 = e0)
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 395 yields:
% 264.33/206.69 | (37) ~ (e1 = e0)
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (261), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1229) all_0_32_32 = e4
% 264.33/206.69 |
% 264.33/206.69 | Equations (1229) can reduce 727 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (727) ~ (all_0_32_32 = e4)
% 264.33/206.69 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (165), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1161) all_0_35_35 = e4
% 264.33/206.69 |
% 264.33/206.69 | Equations (1161) can reduce 249 to:
% 264.33/206.69 | (496) ~ (all_0_20_20 = e4)
% 264.33/206.69 |
% 264.33/206.69 | Equations (1161) can reduce 121 to:
% 264.33/206.69 | (3299) ~ (all_0_37_37 = e4)
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 3299 yields:
% 264.33/206.69 | (2658) ~ (all_0_37_37 = e4)
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (271), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1232) all_0_37_37 = e4
% 264.33/206.69 |
% 264.33/206.69 | Equations (1232) can reduce 2658 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (2658) ~ (all_0_37_37 = e4)
% 264.33/206.69 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (214), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (797) all_0_35_35 = e2
% 264.33/206.69 |
% 264.33/206.69 | Combining equations (797,1161) yields a new equation:
% 264.33/206.69 | (539) e4 = e2
% 264.33/206.69 |
% 264.33/206.69 | Equations (539) can reduce 19 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (742) ~ (all_0_35_35 = e2)
% 264.33/206.69 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (3872), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1073) all_0_37_37 = e3
% 264.33/206.69 |
% 264.33/206.69 | Equations (1073) can reduce 336 to:
% 264.33/206.69 | (1089) ~ (all_0_32_32 = e3)
% 264.33/206.69 |
% 264.33/206.69 | From (1073) and (348) follows:
% 264.33/206.69 | (9987) op(all_0_29_29, e3) = e0
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (1506), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (772) all_0_32_32 = e3
% 264.33/206.69 |
% 264.33/206.69 | Equations (772) can reduce 1089 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (1089) ~ (all_0_32_32 = e3)
% 264.33/206.69 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (1618), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1101) all_0_32_32 = e2
% 264.33/206.69 |
% 264.33/206.69 | Equations (1101) can reduce 508 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (508) ~ (all_0_32_32 = e2)
% 264.33/206.69 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (1622), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1587) all_0_32_32 = e1
% 264.33/206.69 |
% 264.33/206.69 | Equations (1587) can reduce 1089 to:
% 264.33/206.69 | (429) ~ (e3 = e1)
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 429 yields:
% 264.33/206.69 | (318) ~ (e3 = e1)
% 264.33/206.69 |
% 264.33/206.69 | Equations (1587) can reduce 508 to:
% 264.33/206.69 | (1002) ~ (e2 = e1)
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 1002 yields:
% 264.33/206.69 | (329) ~ (e2 = e1)
% 264.33/206.69 |
% 264.33/206.69 | Instantiating formula (97) with e3, e3, e0, e3 and discharging atoms op(e3, e3) = e3, yields:
% 264.33/206.69 | (10001) e3 = e0 | ~ (op(e3, e3) = e0)
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (308), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1175) all_0_20_20 = e1
% 264.33/206.69 |
% 264.33/206.69 | Equations (1175) can reduce 1409 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (1409) ~ (all_0_20_20 = e1)
% 264.33/206.69 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (51), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (736) all_0_20_20 = e2
% 264.33/206.69 |
% 264.33/206.69 | Equations (736) can reduce 564 to:
% 264.33/206.69 | (658) ~ (e3 = e2)
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 658 yields:
% 264.33/206.69 | (56) ~ (e3 = e2)
% 264.33/206.69 |
% 264.33/206.69 | From (736) and (7456) follows:
% 264.33/206.69 | (8318) op(e2, e2) = e3
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (7466), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (8319) ~ (op(e2, e2) = e3)
% 264.33/206.69 |
% 264.33/206.69 | Using (8318) and (8319) yields:
% 264.33/206.69 | (821) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (8318) op(e2, e2) = e3
% 264.33/206.69 | (764) e3 = e2
% 264.33/206.69 |
% 264.33/206.69 | Equations (764) can reduce 56 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (1114) ~ (all_0_20_20 = e2)
% 264.33/206.69 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (162), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (472) all_0_15_15 = e2
% 264.33/206.69 |
% 264.33/206.69 | Combining equations (472,476) yields a new equation:
% 264.33/206.69 | (717) e2 = e1
% 264.33/206.69 |
% 264.33/206.69 | Simplifying 717 yields:
% 264.33/206.69 | (718) e2 = e1
% 264.33/206.69 |
% 264.33/206.69 | Equations (718) can reduce 329 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (447) ~ (all_0_15_15 = e2)
% 264.33/206.69 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (231), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1453) all_0_20_20 = e4
% 264.33/206.69 |
% 264.33/206.69 | Equations (1453) can reduce 496 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (496) ~ (all_0_20_20 = e4)
% 264.33/206.69 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (2921), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (736) all_0_20_20 = e2
% 264.33/206.69 |
% 264.33/206.69 | Equations (736) can reduce 1114 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (1114) ~ (all_0_20_20 = e2)
% 264.33/206.69 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (2301), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (903) all_0_20_20 = e3
% 264.33/206.69 |
% 264.33/206.69 | Equations (903) can reduce 564 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (564) ~ (all_0_20_20 = e3)
% 264.33/206.69 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (2305), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (736) all_0_20_20 = e2
% 264.33/206.69 |
% 264.33/206.69 | Equations (736) can reduce 1114 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (1114) ~ (all_0_20_20 = e2)
% 264.33/206.69 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (2309), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (1175) all_0_20_20 = e1
% 264.33/206.69 |
% 264.33/206.69 | Equations (1175) can reduce 1409 to:
% 264.33/206.69 | (366) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (1409) ~ (all_0_20_20 = e1)
% 264.33/206.69 | (835) all_0_20_20 = e0
% 264.33/206.69 |
% 264.33/206.69 | From (835) and (7456) follows:
% 264.33/206.69 | (8444) op(e2, e0) = e3
% 264.33/206.69 |
% 264.33/206.69 +-Applying beta-rule and splitting (7467), into two cases.
% 264.33/206.69 |-Branch one:
% 264.33/206.69 | (8445) ~ (op(e2, e0) = e3)
% 264.33/206.69 |
% 264.33/206.69 | Using (8444) and (8445) yields:
% 264.33/206.69 | (821) $false
% 264.33/206.69 |
% 264.33/206.69 |-The branch is then unsatisfiable
% 264.33/206.69 |-Branch two:
% 264.33/206.69 | (8444) op(e2, e0) = e3
% 264.33/206.69 | (1023) all_0_29_29 = e3
% 264.33/206.69 |
% 264.33/206.69 | Equations (1023) can reduce 383 to:
% 264.33/206.69 | (88) ~ (e3 = e0)
% 264.33/206.69 |
% 264.33/206.69 | From (1023) and (9987) follows:
% 264.33/206.70 | (10049) op(e3, e3) = e0
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (111), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (468) all_0_15_15 = e3
% 264.33/206.70 |
% 264.33/206.70 | Combining equations (476,468) yields a new equation:
% 264.33/206.70 | (706) e3 = e1
% 264.33/206.70 |
% 264.33/206.70 | Equations (706) can reduce 318 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (433) ~ (all_0_15_15 = e3)
% 264.33/206.70 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (7536), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (903) all_0_20_20 = e3
% 264.33/206.70 |
% 264.33/206.70 | Combining equations (835,903) yields a new equation:
% 264.33/206.70 | (980) e3 = e0
% 264.33/206.70 |
% 264.33/206.70 | Equations (980) can reduce 88 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (564) ~ (all_0_20_20 = e3)
% 264.33/206.70 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.33/206.70 |
% 264.33/206.70 | Equations (835) can reduce 564 to:
% 264.33/206.70 | (391) ~ (e3 = e0)
% 264.33/206.70 |
% 264.33/206.70 | Simplifying 391 yields:
% 264.33/206.70 | (88) ~ (e3 = e0)
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (10001), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (10062) ~ (op(e3, e3) = e0)
% 264.33/206.70 |
% 264.33/206.70 | Using (10049) and (10062) yields:
% 264.33/206.70 | (821) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (10049) op(e3, e3) = e0
% 264.33/206.70 | (980) e3 = e0
% 264.33/206.70 |
% 264.33/206.70 | Equations (980) can reduce 88 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (424) ~ (all_0_32_32 = e1)
% 264.33/206.70 | (1626) all_0_32_32 = e0
% 264.33/206.70 |
% 264.33/206.70 | Equations (1626) can reduce 1946 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (777) ~ (all_0_37_37 = e3)
% 264.33/206.70 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (164), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (814) all_0_35_35 = e3
% 264.33/206.70 |
% 264.33/206.70 | Combining equations (814,1161) yields a new equation:
% 264.33/206.70 | (691) e4 = e3
% 264.33/206.70 |
% 264.33/206.70 | Equations (691) can reduce 277 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (570) ~ (all_0_35_35 = e3)
% 264.33/206.70 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (817), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (818) all_0_36_36 = e3
% 264.33/206.70 |
% 264.33/206.70 | Combining equations (818,1015) yields a new equation:
% 264.33/206.70 | (933) e3 = e1
% 264.33/206.70 |
% 264.33/206.70 | Simplifying 933 yields:
% 264.33/206.70 | (706) e3 = e1
% 264.33/206.70 |
% 264.33/206.70 | Equations (706) can reduce 318 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (516) ~ (all_0_36_36 = e3)
% 264.33/206.70 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (3886), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (805) all_0_37_37 = e2
% 264.33/206.70 |
% 264.33/206.70 | Equations (805) can reduce 515 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (515) ~ (all_0_37_37 = e2)
% 264.33/206.70 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (800), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (801) all_0_36_36 = e2
% 264.33/206.70 |
% 264.33/206.70 | Combining equations (801,1015) yields a new equation:
% 264.33/206.70 | (717) e2 = e1
% 264.33/206.70 |
% 264.33/206.70 | Simplifying 717 yields:
% 264.33/206.70 | (718) e2 = e1
% 264.33/206.70 |
% 264.33/206.70 | Equations (718) can reduce 329 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (756) ~ (all_0_36_36 = e2)
% 264.33/206.70 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (804), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (805) all_0_37_37 = e2
% 264.33/206.70 |
% 264.33/206.70 | Equations (805) can reduce 515 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (515) ~ (all_0_37_37 = e2)
% 264.33/206.70 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (808), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (809) all_0_38_38 = e2
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (1072), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (1073) all_0_37_37 = e3
% 264.33/206.70 |
% 264.33/206.70 | Equations (1073) can reduce 777 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (777) ~ (all_0_37_37 = e3)
% 264.33/206.70 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 264.33/206.70 |
% 264.33/206.70 +-Applying beta-rule and splitting (1076), into two cases.
% 264.33/206.70 |-Branch one:
% 264.33/206.70 | (1077) all_0_38_38 = e3
% 264.33/206.70 |
% 264.33/206.70 | Combining equations (809,1077) yields a new equation:
% 264.33/206.70 | (764) e3 = e2
% 264.33/206.70 |
% 264.33/206.70 | Equations (764) can reduce 56 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (1080) ~ (all_0_38_38 = e3)
% 264.33/206.70 | (369) all_0_39_39 = e3
% 264.33/206.70 |
% 264.33/206.70 | Combining equations (369,380) yields a new equation:
% 264.33/206.70 | (979) e3 = e0
% 264.33/206.70 |
% 264.33/206.70 | Simplifying 979 yields:
% 264.33/206.70 | (980) e3 = e0
% 264.33/206.70 |
% 264.33/206.70 | Equations (980) can reduce 88 to:
% 264.33/206.70 | (366) $false
% 264.33/206.70 |
% 264.33/206.70 |-The branch is then unsatisfiable
% 264.33/206.70 |-Branch two:
% 264.33/206.70 | (1084) ~ (all_0_38_38 = e2)
% 264.33/206.70 | (373) all_0_39_39 = e2
% 264.57/206.71 |
% 264.57/206.71 | Combining equations (380,373) yields a new equation:
% 264.57/206.71 | (551) e2 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (551) can reduce 347 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (514) ~ (all_0_35_35 = e4)
% 264.57/206.71 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (8), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (464) all_0_15_15 = e4
% 264.57/206.71 |
% 264.57/206.71 | Combining equations (464,476) yields a new equation:
% 264.57/206.71 | (955) e4 = e1
% 264.57/206.71 |
% 264.57/206.71 | Simplifying 955 yields:
% 264.57/206.71 | (480) e4 = e1
% 264.57/206.71 |
% 264.57/206.71 | Equations (480) can reduce 65 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (460) ~ (all_0_15_15 = e4)
% 264.57/206.71 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (914), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (1453) all_0_20_20 = e4
% 264.57/206.71 |
% 264.57/206.71 | From (1453) and (7456) follows:
% 264.57/206.71 | (7783) op(e2, e4) = e3
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (206), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (483) all_0_15_15 = e0
% 264.57/206.71 |
% 264.57/206.71 | Combining equations (483,476) yields a new equation:
% 264.57/206.71 | (961) e1 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (961) can reduce 37 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (463) ~ (all_0_15_15 = e0)
% 264.57/206.71 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (1889), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (835) all_0_20_20 = e0
% 264.57/206.71 |
% 264.57/206.71 | Combining equations (835,1453) yields a new equation:
% 264.57/206.71 | (490) e4 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (490) can reduce 287 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (839) ~ (all_0_20_20 = e0)
% 264.57/206.71 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (7465), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (7790) ~ (op(e2, e4) = e3)
% 264.57/206.71 |
% 264.57/206.71 | Using (7783) and (7790) yields:
% 264.57/206.71 | (821) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (7783) op(e2, e4) = e3
% 264.57/206.71 | (2438) all_0_25_25 = e3
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (1920), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (1921) all_0_25_25 = e0
% 264.57/206.71 |
% 264.57/206.71 | Combining equations (2438,1921) yields a new equation:
% 264.57/206.71 | (979) e3 = e0
% 264.57/206.71 |
% 264.57/206.71 | Simplifying 979 yields:
% 264.57/206.71 | (980) e3 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (980) can reduce 88 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (1925) ~ (all_0_25_25 = e0)
% 264.57/206.71 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (1938), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (790) all_0_30_30 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (790) can reduce 1878 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (1878) ~ (all_0_30_30 = e0)
% 264.57/206.71 | (1203) all_0_35_35 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (1203) can reduce 385 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (496) ~ (all_0_20_20 = e4)
% 264.57/206.71 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (1456), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (1158) all_0_25_25 = e4
% 264.57/206.71 |
% 264.57/206.71 | Equations (1158) can reduce 501 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (501) ~ (all_0_25_25 = e4)
% 264.57/206.71 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (1460), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (768) all_0_30_30 = e4
% 264.57/206.71 |
% 264.57/206.71 | Equations (768) can reduce 509 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (509) ~ (all_0_30_30 = e4)
% 264.57/206.71 | (1161) all_0_35_35 = e4
% 264.57/206.71 |
% 264.57/206.71 | Equations (1161) can reduce 514 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (1064) ~ (all_0_31_31 = e0)
% 264.57/206.71 | (1065) all_0_36_36 = e0
% 264.57/206.71 |
% 264.57/206.71 | Combining equations (1015,1065) yields a new equation:
% 264.57/206.71 | (960) e1 = e0
% 264.57/206.71 |
% 264.57/206.71 | Simplifying 960 yields:
% 264.57/206.71 | (961) e1 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (961) can reduce 37 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (1593) ~ (all_0_36_36 = e1)
% 264.57/206.71 | (1065) all_0_36_36 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (1065) can reduce 386 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (582) ~ (all_0_26_26 = e4)
% 264.57/206.71 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (6263), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (1446) all_0_31_31 = e4
% 264.57/206.71 |
% 264.57/206.71 | Equations (1446) can reduce 584 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (584) ~ (all_0_31_31 = e4)
% 264.57/206.71 | (2611) all_0_36_36 = e4
% 264.57/206.71 |
% 264.57/206.71 | Equations (2611) can reduce 586 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (664) ~ (all_0_16_16 = e2)
% 264.57/206.71 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (1377), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (921) all_0_16_16 = e1
% 264.57/206.71 |
% 264.57/206.71 | Equations (921) can reduce 985 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (985) ~ (all_0_16_16 = e1)
% 264.57/206.71 | (873) all_0_16_16 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (873) can reduce 824 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (500) ~ (all_0_27_27 = e2)
% 264.57/206.71 | (542) all_0_27_27 = e1 | all_0_27_27 = e0
% 264.57/206.71 |
% 264.57/206.71 +-Applying beta-rule and splitting (542), into two cases.
% 264.57/206.71 |-Branch one:
% 264.57/206.71 | (543) all_0_27_27 = e1
% 264.57/206.71 |
% 264.57/206.71 | Equations (543) can reduce 402 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (402) ~ (all_0_27_27 = e1)
% 264.57/206.71 | (546) all_0_27_27 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (546) can reduce 434 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.71 |-Branch two:
% 264.57/206.71 | (546) all_0_27_27 = e0
% 264.57/206.71 | (10190) (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 264.57/206.71 |
% 264.57/206.71 | From (546)(546) and (99) follows:
% 264.57/206.71 | (550) op(e0, e0) = e2
% 264.57/206.71 |
% 264.57/206.71 | Instantiating formula (97) with e0, e0, e2, e0 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields:
% 264.57/206.71 | (551) e2 = e0
% 264.57/206.71 |
% 264.57/206.71 | Equations (551) can reduce 347 to:
% 264.57/206.71 | (366) $false
% 264.57/206.71 |
% 264.57/206.71 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (494) ~ (all_0_21_21 = e3)
% 264.57/206.72 | (521) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (521), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (522) all_0_21_21 = e2
% 264.57/206.72 |
% 264.57/206.72 | Equations (522) can reduce 361 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (361) ~ (all_0_21_21 = e2)
% 264.57/206.72 | (525) all_0_21_21 = e1 | all_0_21_21 = e0
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (525), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (526) all_0_21_21 = e1
% 264.57/206.72 |
% 264.57/206.72 | Equations (526) can reduce 363 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (363) ~ (all_0_21_21 = e1)
% 264.57/206.72 | (529) all_0_21_21 = e0
% 264.57/206.72 |
% 264.57/206.72 | Equations (529) can reduce 398 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (449) all_0_21_21 = e4
% 264.57/206.72 | (609) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 264.57/206.72 |
% 264.57/206.72 | From (449)(449) and (138) follows:
% 264.57/206.72 | (533) op(e4, e4) = e3
% 264.57/206.72 |
% 264.57/206.72 | Instantiating formula (97) with e4, e4, e3, e1 and discharging atoms op(e4, e4) = e3, op(e4, e4) = e1, yields:
% 264.57/206.72 | (706) e3 = e1
% 264.57/206.72 |
% 264.57/206.72 | Equations (706) can reduce 318 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (435) all_0_27_27 = e4
% 264.57/206.72 | (10211) (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 3 to:
% 264.57/206.72 | (869) ~ (all_0_17_17 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 341 to:
% 264.57/206.72 | (576) ~ (all_0_22_22 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 289 to:
% 264.57/206.72 | (501) ~ (all_0_25_25 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 100 to:
% 264.57/206.72 | (582) ~ (all_0_26_26 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 106 to:
% 264.57/206.72 | (889) ~ (all_0_28_28 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 889 yields:
% 264.57/206.72 | (890) ~ (all_0_28_28 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 248 to:
% 264.57/206.72 | (2797) ~ (all_0_29_29 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 2797 yields:
% 264.57/206.72 | (724) ~ (all_0_29_29 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 149 to:
% 264.57/206.72 | (1495) ~ (all_0_32_32 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 1495 yields:
% 264.57/206.72 | (727) ~ (all_0_32_32 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 220 to:
% 264.57/206.72 | (3299) ~ (all_0_37_37 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 3299 yields:
% 264.57/206.72 | (2658) ~ (all_0_37_37 = e4)
% 264.57/206.72 |
% 264.57/206.72 | From (435)(435) and (99) follows:
% 264.57/206.72 | (1335) op(e4, e4) = e2
% 264.57/206.72 |
% 264.57/206.72 | Instantiating formula (97) with e4, e4, e2, all_0_15_15 and discharging atoms op(e4, e4) = all_0_15_15, op(e4, e4) = e2, yields:
% 264.57/206.72 | (472) all_0_15_15 = e2
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 351 to:
% 264.57/206.72 | (10226) ~ (all_0_16_16 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 10226 yields:
% 264.57/206.72 | (664) ~ (all_0_16_16 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 66 to:
% 264.57/206.72 | (7439) ~ (all_0_17_17 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 7439 yields:
% 264.57/206.72 | (459) ~ (all_0_17_17 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 344 to:
% 264.57/206.72 | (7441) ~ (all_0_18_18 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 7441 yields:
% 264.57/206.72 | (666) ~ (all_0_18_18 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 190 to:
% 264.57/206.72 | (7443) ~ (all_0_19_19 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 7443 yields:
% 264.57/206.72 | (2785) ~ (all_0_19_19 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 146 to:
% 264.57/206.72 | (10234) ~ (all_0_20_20 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 10234 yields:
% 264.57/206.72 | (1114) ~ (all_0_20_20 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 52 to:
% 264.57/206.72 | (10236) ~ (all_0_25_25 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 10236 yields:
% 264.57/206.72 | (646) ~ (all_0_25_25 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 84 to:
% 264.57/206.72 | (739) ~ (all_0_30_30 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 739 yields:
% 264.57/206.72 | (740) ~ (all_0_30_30 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 157 to:
% 264.57/206.72 | (741) ~ (all_0_35_35 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 741 yields:
% 264.57/206.72 | (742) ~ (all_0_35_35 = e2)
% 264.57/206.72 |
% 264.57/206.72 | From (472) and (218) follows:
% 264.57/206.72 | (1335) op(e4, e4) = e2
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (179), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (404) ~ (all_0_27_27 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 404 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (435) all_0_27_27 = e4
% 264.57/206.72 | (10246) (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (144), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (448) ~ (all_0_21_21 = e4)
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (35), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (449) all_0_21_21 = e4
% 264.57/206.72 |
% 264.57/206.72 | Equations (449) can reduce 448 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (448) ~ (all_0_21_21 = e4)
% 264.57/206.72 | (452) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (452), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (453) all_0_21_21 = e3
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 307 to:
% 264.57/206.72 | (458) ~ (all_0_16_16 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 71 to:
% 264.57/206.72 | (564) ~ (all_0_20_20 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 339 to:
% 264.57/206.72 | (5493) ~ (all_0_22_22 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 5493 yields:
% 264.57/206.72 | (774) ~ (all_0_22_22 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 194 to:
% 264.57/206.72 | (3066) ~ (all_0_23_23 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 3066 yields:
% 264.57/206.72 | (982) ~ (all_0_23_23 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 180 to:
% 264.57/206.72 | (3506) ~ (all_0_24_24 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 3506 yields:
% 264.57/206.72 | (963) ~ (all_0_24_24 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 265 to:
% 264.57/206.72 | (5499) ~ (all_0_26_26 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 5499 yields:
% 264.57/206.72 | (504) ~ (all_0_26_26 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 255 to:
% 264.57/206.72 | (5501) ~ (all_0_31_31 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 5501 yields:
% 264.57/206.72 | (510) ~ (all_0_31_31 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 150 to:
% 264.57/206.72 | (4164) ~ (all_0_36_36 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 4164 yields:
% 264.57/206.72 | (516) ~ (all_0_36_36 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 448 to:
% 264.57/206.72 | (695) ~ (e4 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Simplifying 695 yields:
% 264.57/206.72 | (277) ~ (e4 = e3)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 361 to:
% 264.57/206.72 | (56) ~ (e3 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (453) can reduce 398 to:
% 264.57/206.72 | (88) ~ (e3 = e0)
% 264.57/206.72 |
% 264.57/206.72 | From (453) and (314) follows:
% 264.57/206.72 | (5509) op(e3, e3) = e3
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (107), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (447) ~ (all_0_15_15 = e2)
% 264.57/206.72 |
% 264.57/206.72 | Equations (472) can reduce 447 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (472) all_0_15_15 = e2
% 264.57/206.72 | (10275) (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (134), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (404) ~ (all_0_27_27 = e4)
% 264.57/206.72 |
% 264.57/206.72 | Equations (435) can reduce 404 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (435) all_0_27_27 = e4
% 264.57/206.72 | (10279) (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (275), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (405) ~ (all_0_33_33 = e4)
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (295), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (406) all_0_33_33 = e4
% 264.57/206.72 |
% 264.57/206.72 | Equations (406) can reduce 405 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (405) ~ (all_0_33_33 = e4)
% 264.57/206.72 | (409) all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (409), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (410) all_0_33_33 = e3
% 264.57/206.72 |
% 264.57/206.72 | Equations (410) can reduce 403 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (403) ~ (all_0_33_33 = e3)
% 264.57/206.72 | (413) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (413), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (414) all_0_33_33 = e2
% 264.57/206.72 |
% 264.57/206.72 | Equations (414) can reduce 401 to:
% 264.57/206.72 | (366) $false
% 264.57/206.72 |
% 264.57/206.72 |-The branch is then unsatisfiable
% 264.57/206.72 |-Branch two:
% 264.57/206.72 | (401) ~ (all_0_33_33 = e2)
% 264.57/206.72 | (417) all_0_33_33 = e1 | all_0_33_33 = e0
% 264.57/206.72 |
% 264.57/206.72 +-Applying beta-rule and splitting (417), into two cases.
% 264.57/206.72 |-Branch one:
% 264.57/206.72 | (418) all_0_33_33 = e1
% 264.57/206.72 |
% 264.57/206.72 | Equations (418) can reduce 208 to:
% 264.57/206.72 | (419) ~ (all_0_18_18 = e1)
% 264.57/206.72 |
% 264.57/206.72 | Equations (418) can reduce 189 to:
% 264.57/206.72 | (420) ~ (all_0_23_23 = e1)
% 264.57/206.72 |
% 264.57/206.72 | Equations (418) can reduce 237 to:
% 264.57/206.72 | (421) ~ (all_0_28_28 = e1)
% 264.57/206.72 |
% 264.57/206.72 | Equations (418) can reduce 283 to:
% 264.57/206.72 | (422) ~ (all_0_30_30 = e1)
% 264.57/206.72 |
% 264.57/206.72 | Equations (418) can reduce 246 to:
% 264.57/206.72 | (423) ~ (all_0_31_31 = e1)
% 264.57/206.72 |
% 264.57/206.72 | Equations (418) can reduce 201 to:
% 264.57/206.72 | (424) ~ (all_0_32_32 = e1)
% 264.57/206.72 |
% 264.57/206.72 | Equations (418) can reduce 328 to:
% 264.57/206.72 | (425) ~ (all_0_34_34 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 425 yields:
% 264.57/206.73 | (426) ~ (all_0_34_34 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Equations (418) can reduce 324 to:
% 264.57/206.73 | (427) ~ (all_0_38_38 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 427 yields:
% 264.57/206.73 | (428) ~ (all_0_38_38 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Equations (418) can reduce 405 to:
% 264.57/206.73 | (477) ~ (e4 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 477 yields:
% 264.57/206.73 | (65) ~ (e4 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Equations (418) can reduce 403 to:
% 264.57/206.73 | (429) ~ (e3 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 429 yields:
% 264.57/206.73 | (318) ~ (e3 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Equations (418) can reduce 401 to:
% 264.57/206.73 | (1002) ~ (e2 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 1002 yields:
% 264.57/206.73 | (329) ~ (e2 = e1)
% 264.57/206.73 |
% 264.57/206.73 | Equations (418) can reduce 399 to:
% 264.57/206.73 | (37) ~ (e1 = e0)
% 264.57/206.73 |
% 264.57/206.73 | From (418) and (288) follows:
% 264.57/206.73 | (432) op(e1, e1) = e1
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (48), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (447) ~ (all_0_15_15 = e2)
% 264.57/206.73 |
% 264.57/206.73 | Equations (472) can reduce 447 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (472) all_0_15_15 = e2
% 264.57/206.73 | (10315) (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (176), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (404) ~ (all_0_27_27 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (435) can reduce 404 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (435) all_0_27_27 = e4
% 264.57/206.73 | (10319) (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (47), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (447) ~ (all_0_15_15 = e2)
% 264.57/206.73 |
% 264.57/206.73 | Equations (472) can reduce 447 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (472) all_0_15_15 = e2
% 264.57/206.73 | (10323) (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (178), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (404) ~ (all_0_27_27 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (435) can reduce 404 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (435) all_0_27_27 = e4
% 264.57/206.73 | (10327) (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (79), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (447) ~ (all_0_15_15 = e2)
% 264.57/206.73 |
% 264.57/206.73 | Equations (472) can reduce 447 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (472) all_0_15_15 = e2
% 264.57/206.73 | (10331) (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (133), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (404) ~ (all_0_27_27 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (435) can reduce 404 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (435) all_0_27_27 = e4
% 264.57/206.73 | (10335) (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e1) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (108), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (447) ~ (all_0_15_15 = e2)
% 264.57/206.73 |
% 264.57/206.73 | Equations (472) can reduce 447 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (472) all_0_15_15 = e2
% 264.57/206.73 | (10339) (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (80), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (447) ~ (all_0_15_15 = e2)
% 264.57/206.73 |
% 264.57/206.73 | Equations (472) can reduce 447 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (472) all_0_15_15 = e2
% 264.57/206.73 | (537) (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (242), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (711) all_0_19_19 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 236 to:
% 264.57/206.73 | (573) ~ (all_0_16_16 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 333 to:
% 264.57/206.73 | (869) ~ (all_0_17_17 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 337 to:
% 264.57/206.73 | (1046) ~ (all_0_18_18 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 87 to:
% 264.57/206.73 | (579) ~ (all_0_24_24 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 579 yields:
% 264.57/206.73 | (580) ~ (all_0_24_24 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 229 to:
% 264.57/206.73 | (2797) ~ (all_0_29_29 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 2797 yields:
% 264.57/206.73 | (724) ~ (all_0_29_29 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 280 to:
% 264.57/206.73 | (2206) ~ (all_0_34_34 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 2206 yields:
% 264.57/206.73 | (1395) ~ (all_0_34_34 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 2785 to:
% 264.57/206.73 | (19) ~ (e4 = e2)
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 381 to:
% 264.57/206.73 | (287) ~ (e4 = e0)
% 264.57/206.73 |
% 264.57/206.73 | From (711) and (332) follows:
% 264.57/206.73 | (2803) op(e4, all_0_35_35) = e0
% 264.57/206.73 |
% 264.57/206.73 | From (711) and (24) follows:
% 264.57/206.73 | (2804) op(all_0_35_35, e4) = e4
% 264.57/206.73 |
% 264.57/206.73 | From (711) and (67) follows:
% 264.57/206.73 | (2088) op(e4, e0) = e4
% 264.57/206.73 |
% 264.57/206.73 | Instantiating formula (97) with e1, e4, e4, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 264.57/206.73 | (2806) all_0_30_30 = e4 | ~ (op(e1, e4) = e4)
% 264.57/206.73 |
% 264.57/206.73 | Instantiating formula (97) with e4, e4, e0, e2 and discharging atoms op(e4, e4) = e2, yields:
% 264.57/206.73 | (10360) e2 = e0 | ~ (op(e4, e4) = e0)
% 264.57/206.73 |
% 264.57/206.73 | Instantiating formula (97) with e4, e3, e0, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 264.57/206.73 | (734) all_0_16_16 = e0 | ~ (op(e4, e3) = e0)
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (26), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (887) all_0_18_18 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (887) can reduce 1046 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (1046) ~ (all_0_18_18 = e4)
% 264.57/206.73 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (32), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (716) all_0_19_19 = e1
% 264.57/206.73 |
% 264.57/206.73 | Combining equations (716,711) yields a new equation:
% 264.57/206.73 | (480) e4 = e1
% 264.57/206.73 |
% 264.57/206.73 | Equations (480) can reduce 65 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (720) ~ (all_0_19_19 = e1)
% 264.57/206.73 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 264.57/206.73 |
% 264.57/206.73 | Equations (711) can reduce 720 to:
% 264.57/206.73 | (65) ~ (e4 = e1)
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (72), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (468) all_0_15_15 = e3
% 264.57/206.73 |
% 264.57/206.73 | Combining equations (468,472) yields a new equation:
% 264.57/206.73 | (3874) e3 = e2
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 3874 yields:
% 264.57/206.73 | (764) e3 = e2
% 264.57/206.73 |
% 264.57/206.73 | Equations (764) can reduce 56 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (433) ~ (all_0_15_15 = e3)
% 264.57/206.73 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 264.57/206.73 |
% 264.57/206.73 | Equations (472) can reduce 433 to:
% 264.57/206.73 | (658) ~ (e3 = e2)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 658 yields:
% 264.57/206.73 | (56) ~ (e3 = e2)
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (327), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (768) all_0_30_30 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (768) can reduce 116 to:
% 264.57/206.73 | (496) ~ (all_0_20_20 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (768) can reduce 217 to:
% 264.57/206.73 | (583) ~ (all_0_31_31 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 583 yields:
% 264.57/206.73 | (584) ~ (all_0_31_31 = e4)
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (163), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (701) all_0_16_16 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (701) can reduce 573 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (573) ~ (all_0_16_16 = e4)
% 264.57/206.73 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (6243), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (449) all_0_21_21 = e4
% 264.57/206.73 |
% 264.57/206.73 | Combining equations (453,449) yields a new equation:
% 264.57/206.73 | (691) e4 = e3
% 264.57/206.73 |
% 264.57/206.73 | Equations (691) can reduce 277 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (448) ~ (all_0_21_21 = e4)
% 264.57/206.73 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (453) can reduce 448 to:
% 264.57/206.73 | (695) ~ (e4 = e3)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 695 yields:
% 264.57/206.73 | (277) ~ (e4 = e3)
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (256), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (1453) all_0_20_20 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (1453) can reduce 496 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (496) ~ (all_0_20_20 = e4)
% 264.57/206.73 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (6248), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (1237) all_0_26_26 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (1237) can reduce 582 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (582) ~ (all_0_26_26 = e4)
% 264.57/206.73 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (7219), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (449) all_0_21_21 = e4
% 264.57/206.73 |
% 264.57/206.73 | Combining equations (453,449) yields a new equation:
% 264.57/206.73 | (691) e4 = e3
% 264.57/206.73 |
% 264.57/206.73 | Equations (691) can reduce 277 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (448) ~ (all_0_21_21 = e4)
% 264.57/206.73 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (7224), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (831) all_0_22_22 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (831) can reduce 576 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (576) ~ (all_0_22_22 = e4)
% 264.57/206.73 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (6263), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (1446) all_0_31_31 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (1446) can reduce 584 to:
% 264.57/206.73 | (366) $false
% 264.57/206.73 |
% 264.57/206.73 |-The branch is then unsatisfiable
% 264.57/206.73 |-Branch two:
% 264.57/206.73 | (584) ~ (all_0_31_31 = e4)
% 264.57/206.73 | (2611) all_0_36_36 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (2611) can reduce 64 to:
% 264.57/206.73 | (573) ~ (all_0_16_16 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (2611) can reduce 386 to:
% 264.57/206.73 | (287) ~ (e4 = e0)
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (7426), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (1515) all_0_23_23 = e4
% 264.57/206.73 |
% 264.57/206.73 | Equations (1515) can reduce 272 to:
% 264.57/206.73 | (496) ~ (all_0_20_20 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (1515) can reduce 346 to:
% 264.57/206.73 | (576) ~ (all_0_22_22 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Equations (1515) can reduce 39 to:
% 264.57/206.73 | (1142) ~ (all_0_38_38 = e4)
% 264.57/206.73 |
% 264.57/206.73 | Simplifying 1142 yields:
% 264.57/206.73 | (1143) ~ (all_0_38_38 = e4)
% 264.57/206.73 |
% 264.57/206.73 | From (1515) and (25) follows:
% 264.57/206.73 | (10423) op(e4, all_0_31_31) = e1
% 264.57/206.73 |
% 264.57/206.73 | Instantiating formula (97) with e4, all_0_31_31, e1, e4 and discharging atoms op(e4, all_0_31_31) = e1, yields:
% 264.57/206.73 | (10424) e4 = e1 | ~ (op(e4, all_0_31_31) = e4)
% 264.57/206.73 |
% 264.57/206.73 +-Applying beta-rule and splitting (135), into two cases.
% 264.57/206.73 |-Branch one:
% 264.57/206.73 | (835) all_0_20_20 = e0
% 264.57/206.73 |
% 264.57/206.73 | From (835) and (124) follows:
% 264.57/206.73 | (10426) op(all_0_16_16, e0) = e3
% 264.57/206.73 |
% 264.57/206.73 | From (835) and (40) follows:
% 264.57/206.74 | (10427) op(e0, all_0_16_16) = e4
% 264.57/206.74 |
% 264.57/206.74 | Instantiating formula (97) with e0, e0, e3, e0 and discharging atoms op(e0, e0) = e0, yields:
% 264.57/206.74 | (10428) e3 = e0 | ~ (op(e0, e0) = e3)
% 264.57/206.74 |
% 264.57/206.74 | Instantiating formula (97) with e0, e1, e4, all_0_38_38 and discharging atoms op(e0, e1) = all_0_38_38, yields:
% 264.57/206.74 | (10429) all_0_38_38 = e4 | ~ (op(e0, e1) = e4)
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (228), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (921) all_0_16_16 = e1
% 264.57/206.74 |
% 264.57/206.74 | From (921) and (10427) follows:
% 264.57/206.74 | (10431) op(e0, e1) = e4
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (10429), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (10432) ~ (op(e0, e1) = e4)
% 264.57/206.74 |
% 264.57/206.74 | Using (10431) and (10432) yields:
% 264.57/206.74 | (821) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (10431) op(e0, e1) = e4
% 264.57/206.74 | (1165) all_0_38_38 = e4
% 264.57/206.74 |
% 264.57/206.74 | Equations (1165) can reduce 1143 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (985) ~ (all_0_16_16 = e1)
% 264.57/206.74 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (323), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (476) all_0_15_15 = e1
% 264.57/206.74 |
% 264.57/206.74 | Combining equations (476,472) yields a new equation:
% 264.57/206.74 | (718) e2 = e1
% 264.57/206.74 |
% 264.57/206.74 | Equations (718) can reduce 329 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (482) ~ (all_0_15_15 = e1)
% 264.57/206.74 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (709), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (921) all_0_16_16 = e1
% 264.57/206.74 |
% 264.57/206.74 | Equations (921) can reduce 985 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (985) ~ (all_0_16_16 = e1)
% 264.57/206.74 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (270), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (701) all_0_16_16 = e4
% 264.57/206.74 |
% 264.57/206.74 | Equations (701) can reduce 573 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (573) ~ (all_0_16_16 = e4)
% 264.57/206.74 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (704), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (1287) all_0_16_16 = e3
% 264.57/206.74 |
% 264.57/206.74 | Equations (1287) can reduce 458 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (458) ~ (all_0_16_16 = e3)
% 264.57/206.74 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (1290), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (697) all_0_16_16 = e2
% 264.57/206.74 |
% 264.57/206.74 | Equations (697) can reduce 664 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (664) ~ (all_0_16_16 = e2)
% 264.57/206.74 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (1377), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (921) all_0_16_16 = e1
% 264.57/206.74 |
% 264.57/206.74 | Equations (921) can reduce 985 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (985) ~ (all_0_16_16 = e1)
% 264.57/206.74 | (873) all_0_16_16 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (873) can reduce 458 to:
% 264.57/206.74 | (391) ~ (e3 = e0)
% 264.57/206.74 |
% 264.57/206.74 | Simplifying 391 yields:
% 264.57/206.74 | (88) ~ (e3 = e0)
% 264.57/206.74 |
% 264.57/206.74 | From (873) and (10426) follows:
% 264.57/206.74 | (10466) op(e0, e0) = e3
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (10428), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (10467) ~ (op(e0, e0) = e3)
% 264.57/206.74 |
% 264.57/206.74 | Using (10466) and (10467) yields:
% 264.57/206.74 | (821) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (10466) op(e0, e0) = e3
% 264.57/206.74 | (980) e3 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (980) can reduce 88 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (839) ~ (all_0_20_20 = e0)
% 264.57/206.74 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (840), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (529) all_0_21_21 = e0
% 264.57/206.74 |
% 264.57/206.74 | Combining equations (453,529) yields a new equation:
% 264.57/206.74 | (979) e3 = e0
% 264.57/206.74 |
% 264.57/206.74 | Simplifying 979 yields:
% 264.57/206.74 | (980) e3 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (980) can reduce 88 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (398) ~ (all_0_21_21 = e0)
% 264.57/206.74 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (846), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (847) all_0_22_22 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (847) can reduce 211 to:
% 264.57/206.74 | (839) ~ (all_0_20_20 = e0)
% 264.57/206.74 |
% 264.57/206.74 | Equations (847) can reduce 63 to:
% 264.57/206.74 | (2961) ~ (all_0_32_32 = e0)
% 264.57/206.74 |
% 264.57/206.74 | Simplifying 2961 yields:
% 264.57/206.74 | (1946) ~ (all_0_32_32 = e0)
% 264.57/206.74 |
% 264.57/206.74 | Equations (847) can reduce 576 to:
% 264.57/206.74 | (389) ~ (e4 = e0)
% 264.57/206.74 |
% 264.57/206.74 | Simplifying 389 yields:
% 264.57/206.74 | (287) ~ (e4 = e0)
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (231), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (1453) all_0_20_20 = e4
% 264.57/206.74 |
% 264.57/206.74 | Equations (1453) can reduce 496 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (496) ~ (all_0_20_20 = e4)
% 264.57/206.74 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (127), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (790) all_0_30_30 = e0
% 264.57/206.74 |
% 264.57/206.74 | Combining equations (768,790) yields a new equation:
% 264.57/206.74 | (842) e4 = e0
% 264.57/206.74 |
% 264.57/206.74 | Simplifying 842 yields:
% 264.57/206.74 | (490) e4 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (490) can reduce 287 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (1878) ~ (all_0_30_30 = e0)
% 264.57/206.74 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (2301), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (903) all_0_20_20 = e3
% 264.57/206.74 |
% 264.57/206.74 | Equations (903) can reduce 564 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (564) ~ (all_0_20_20 = e3)
% 264.57/206.74 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (1879), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (1060) all_0_31_31 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (2305), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (736) all_0_20_20 = e2
% 264.57/206.74 |
% 264.57/206.74 | Equations (736) can reduce 1114 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (1114) ~ (all_0_20_20 = e2)
% 264.57/206.74 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (2309), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (1175) all_0_20_20 = e1
% 264.57/206.74 |
% 264.57/206.74 | Equations (1175) can reduce 496 to:
% 264.57/206.74 | (477) ~ (e4 = e1)
% 264.57/206.74 |
% 264.57/206.74 | Simplifying 477 yields:
% 264.57/206.74 | (65) ~ (e4 = e1)
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (10424), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (10508) ~ (op(e4, all_0_31_31) = e4)
% 264.57/206.74 |
% 264.57/206.74 | From (1060) and (10508) follows:
% 264.57/206.74 | (2089) ~ (op(e4, e0) = e4)
% 264.57/206.74 |
% 264.57/206.74 | Using (2088) and (2089) yields:
% 264.57/206.74 | (821) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (10511) op(e4, all_0_31_31) = e4
% 264.57/206.74 | (480) e4 = e1
% 264.57/206.74 |
% 264.57/206.74 | Equations (480) can reduce 65 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (1409) ~ (all_0_20_20 = e1)
% 264.57/206.74 | (835) all_0_20_20 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (835) can reduce 839 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (1064) ~ (all_0_31_31 = e0)
% 264.57/206.74 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (1883), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (1626) all_0_32_32 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (1626) can reduce 1946 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (1946) ~ (all_0_32_32 = e0)
% 264.57/206.74 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (1947), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (1254) all_0_33_33 = e0
% 264.57/206.74 |
% 264.57/206.74 | Combining equations (1254,418) yields a new equation:
% 264.57/206.74 | (961) e1 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (961) can reduce 37 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (399) ~ (all_0_33_33 = e0)
% 264.57/206.74 | (1717) all_0_34_34 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (1717) can reduce 384 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (826) ~ (all_0_22_22 = e0)
% 264.57/206.74 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 264.57/206.74 |
% 264.57/206.74 +-Applying beta-rule and splitting (850), into two cases.
% 264.57/206.74 |-Branch one:
% 264.57/206.74 | (851) all_0_23_23 = e0
% 264.57/206.74 |
% 264.57/206.74 | Combining equations (851,1515) yields a new equation:
% 264.57/206.74 | (490) e4 = e0
% 264.57/206.74 |
% 264.57/206.74 | Equations (490) can reduce 287 to:
% 264.57/206.74 | (366) $false
% 264.57/206.74 |
% 264.57/206.74 |-The branch is then unsatisfiable
% 264.57/206.74 |-Branch two:
% 264.57/206.74 | (1068) ~ (all_0_23_23 = e0)
% 264.57/206.75 | (1069) all_0_24_24 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (1069) can reduce 382 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (578) ~ (all_0_23_23 = e4)
% 264.57/206.75 | (685) all_0_24_24 = e4
% 264.57/206.75 |
% 264.57/206.75 | Equations (685) can reduce 580 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (509) ~ (all_0_30_30 = e4)
% 264.57/206.75 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (1437), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (1446) all_0_31_31 = e4
% 264.57/206.75 |
% 264.57/206.75 | Equations (1446) can reduce 217 to:
% 264.57/206.75 | (509) ~ (all_0_30_30 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Equations (1446) can reduce 247 to:
% 264.57/206.75 | (1495) ~ (all_0_32_32 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 1495 yields:
% 264.57/206.75 | (727) ~ (all_0_32_32 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Equations (1446) can reduce 7 to:
% 264.57/206.75 | (585) ~ (all_0_36_36 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 585 yields:
% 264.57/206.75 | (586) ~ (all_0_36_36 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Equations (1446) can reduce 510 to:
% 264.57/206.75 | (277) ~ (e4 = e3)
% 264.57/206.75 |
% 264.57/206.75 | Equations (1446) can reduce 423 to:
% 264.57/206.75 | (65) ~ (e4 = e1)
% 264.57/206.75 |
% 264.57/206.75 | From (1446) and (25) follows:
% 264.57/206.75 | (10550) op(all_0_23_23, e4) = e1
% 264.57/206.75 |
% 264.57/206.75 | From (1446) and (301) follows:
% 264.57/206.75 | (10551) op(e4, all_0_23_23) = e3
% 264.57/206.75 |
% 264.57/206.75 | Instantiating formula (97) with e2, e4, e1, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 264.57/206.75 | (733) all_0_25_25 = e1 | ~ (op(e2, e4) = e1)
% 264.57/206.75 |
% 264.57/206.75 | Instantiating formula (97) with e4, e4, e3, e2 and discharging atoms op(e4, e4) = e2, yields:
% 264.57/206.75 | (10553) e3 = e2 | ~ (op(e4, e4) = e3)
% 264.57/206.75 |
% 264.57/206.75 | Instantiating formula (97) with e4, e2, e3, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 264.57/206.75 | (6528) all_0_17_17 = e3 | ~ (op(e4, e2) = e3)
% 264.57/206.75 |
% 264.57/206.75 | Instantiating formula (97) with e4, e0, e3, e4 and discharging atoms op(e4, e0) = e4, yields:
% 264.57/206.75 | (10555) e4 = e3 | ~ (op(e4, e0) = e3)
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (127), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (790) all_0_30_30 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (790) can reduce 116 to:
% 264.57/206.75 | (839) ~ (all_0_20_20 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (790) can reduce 58 to:
% 264.57/206.75 | (1925) ~ (all_0_25_25 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (790) can reduce 186 to:
% 264.57/206.75 | (2961) ~ (all_0_32_32 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 2961 yields:
% 264.57/206.75 | (1946) ~ (all_0_32_32 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (790) can reduce 509 to:
% 264.57/206.75 | (389) ~ (e4 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 389 yields:
% 264.57/206.75 | (287) ~ (e4 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (790) can reduce 740 to:
% 264.57/206.75 | (393) ~ (e2 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 393 yields:
% 264.57/206.75 | (347) ~ (e2 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (790) can reduce 422 to:
% 264.57/206.75 | (395) ~ (e1 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 395 yields:
% 264.57/206.75 | (37) ~ (e1 = e0)
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (222), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (823) all_0_17_17 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (823) can reduce 184 to:
% 264.57/206.75 | (825) ~ (all_0_22_22 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 825 yields:
% 264.57/206.75 | (826) ~ (all_0_22_22 = e0)
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (135), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (835) all_0_20_20 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (835) can reduce 839 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (839) ~ (all_0_20_20 = e0)
% 264.57/206.75 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (840), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (529) all_0_21_21 = e0
% 264.57/206.75 |
% 264.57/206.75 | Combining equations (453,529) yields a new equation:
% 264.57/206.75 | (979) e3 = e0
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 979 yields:
% 264.57/206.75 | (980) e3 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (980) can reduce 88 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (398) ~ (all_0_21_21 = e0)
% 264.57/206.75 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (846), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (847) all_0_22_22 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (847) can reduce 826 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (826) ~ (all_0_22_22 = e0)
% 264.57/206.75 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (850), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (851) all_0_23_23 = e0
% 264.57/206.75 |
% 264.57/206.75 | From (851) and (10551) follows:
% 264.57/206.75 | (7131) op(e4, e0) = e3
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (10555), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (7132) ~ (op(e4, e0) = e3)
% 264.57/206.75 |
% 264.57/206.75 | Using (7131) and (7132) yields:
% 264.57/206.75 | (821) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (7131) op(e4, e0) = e3
% 264.57/206.75 | (691) e4 = e3
% 264.57/206.75 |
% 264.57/206.75 | Equations (691) can reduce 277 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (1068) ~ (all_0_23_23 = e0)
% 264.57/206.75 | (1069) all_0_24_24 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (1069) can reduce 382 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (2422) ~ (all_0_17_17 = e0)
% 264.57/206.75 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (2515), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (847) all_0_22_22 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (847) can reduce 211 to:
% 264.57/206.75 | (839) ~ (all_0_20_20 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (847) can reduce 268 to:
% 264.57/206.75 | (9686) ~ (all_0_24_24 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 9686 yields:
% 264.57/206.75 | (382) ~ (all_0_24_24 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (847) can reduce 63 to:
% 264.57/206.75 | (2961) ~ (all_0_32_32 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 2961 yields:
% 264.57/206.75 | (1946) ~ (all_0_32_32 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (847) can reduce 576 to:
% 264.57/206.75 | (389) ~ (e4 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 389 yields:
% 264.57/206.75 | (287) ~ (e4 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Equations (847) can reduce 774 to:
% 264.57/206.75 | (391) ~ (e3 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 391 yields:
% 264.57/206.75 | (88) ~ (e3 = e0)
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (10275), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (10606) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)
% 264.57/206.75 |
% 264.57/206.75 | Applying alpha-rule on (10606) yields:
% 264.57/206.75 | (10607) all_0_11_11 = all_0_17_17
% 264.57/206.75 | (2422) ~ (all_0_17_17 = e0)
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (241), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (1921) all_0_25_25 = e0
% 264.57/206.75 |
% 264.57/206.75 | Equations (1921) can reduce 1925 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (1925) ~ (all_0_25_25 = e0)
% 264.57/206.75 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (231), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (1453) all_0_20_20 = e4
% 264.57/206.75 |
% 264.57/206.75 | Equations (1453) can reduce 95 to:
% 264.57/206.75 | (10614) ~ (all_0_25_25 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 10614 yields:
% 264.57/206.75 | (501) ~ (all_0_25_25 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Equations (1453) can reduce 249 to:
% 264.57/206.75 | (1159) ~ (all_0_35_35 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Simplifying 1159 yields:
% 264.57/206.75 | (514) ~ (all_0_35_35 = e4)
% 264.57/206.75 |
% 264.57/206.75 | Equations (1453) can reduce 1114 to:
% 264.57/206.75 | (19) ~ (e4 = e2)
% 264.57/206.75 |
% 264.57/206.75 | Equations (1453) can reduce 839 to:
% 264.57/206.75 | (287) ~ (e4 = e0)
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (165), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (1161) all_0_35_35 = e4
% 264.57/206.75 |
% 264.57/206.75 | Equations (1161) can reduce 514 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (514) ~ (all_0_35_35 = e4)
% 264.57/206.75 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (308), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (1175) all_0_20_20 = e1
% 264.57/206.75 |
% 264.57/206.75 | Combining equations (1175,1453) yields a new equation:
% 264.57/206.75 | (480) e4 = e1
% 264.57/206.75 |
% 264.57/206.75 | Equations (480) can reduce 65 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (1409) ~ (all_0_20_20 = e1)
% 264.57/206.75 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (1164), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (2611) all_0_36_36 = e4
% 264.57/206.75 |
% 264.57/206.75 | Equations (2611) can reduce 586 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.75 | (586) ~ (all_0_36_36 = e4)
% 264.57/206.75 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.57/206.75 |
% 264.57/206.75 +-Applying beta-rule and splitting (2633), into two cases.
% 264.57/206.75 |-Branch one:
% 264.57/206.75 | (1232) all_0_37_37 = e4
% 264.57/206.75 |
% 264.57/206.75 | Equations (1232) can reduce 2658 to:
% 264.57/206.75 | (366) $false
% 264.57/206.75 |
% 264.57/206.75 |-The branch is then unsatisfiable
% 264.57/206.75 |-Branch two:
% 264.57/206.76 | (2658) ~ (all_0_37_37 = e4)
% 264.57/206.76 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (4682), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (526) all_0_21_21 = e1
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (453,526) yields a new equation:
% 264.57/206.76 | (933) e3 = e1
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 933 yields:
% 264.57/206.76 | (706) e3 = e1
% 264.57/206.76 |
% 264.57/206.76 | Equations (706) can reduce 318 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (363) ~ (all_0_21_21 = e1)
% 264.57/206.76 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (2659), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1165) all_0_38_38 = e4
% 264.57/206.76 |
% 264.57/206.76 | Equations (1165) can reduce 354 to:
% 264.57/206.76 | (2658) ~ (all_0_37_37 = e4)
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (4688), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (999) all_0_22_22 = e1
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (847,999) yields a new equation:
% 264.57/206.76 | (961) e1 = e0
% 264.57/206.76 |
% 264.57/206.76 | Equations (961) can reduce 37 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (1018) ~ (all_0_22_22 = e1)
% 264.57/206.76 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (5033), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (3952) all_0_23_23 = e1
% 264.57/206.76 |
% 264.57/206.76 | Equations (3952) can reduce 420 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (420) ~ (all_0_23_23 = e1)
% 264.57/206.76 | (940) all_0_24_24 = e1
% 264.57/206.76 |
% 264.57/206.76 | Equations (940) can reduce 4 to:
% 264.57/206.76 | (425) ~ (all_0_34_34 = e1)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 425 yields:
% 264.57/206.76 | (426) ~ (all_0_34_34 = e1)
% 264.57/206.76 |
% 264.57/206.76 | Equations (940) can reduce 963 to:
% 264.57/206.76 | (429) ~ (e3 = e1)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 429 yields:
% 264.57/206.76 | (318) ~ (e3 = e1)
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (51), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (736) all_0_20_20 = e2
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (736,1453) yields a new equation:
% 264.57/206.76 | (539) e4 = e2
% 264.57/206.76 |
% 264.57/206.76 | Equations (539) can reduce 19 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (1114) ~ (all_0_20_20 = e2)
% 264.57/206.76 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1115), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (522) all_0_21_21 = e2
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (522,453) yields a new equation:
% 264.57/206.76 | (764) e3 = e2
% 264.57/206.76 |
% 264.57/206.76 | Equations (764) can reduce 56 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (361) ~ (all_0_21_21 = e2)
% 264.57/206.76 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1121), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (917) all_0_22_22 = e2
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (847,917) yields a new equation:
% 264.57/206.76 | (551) e2 = e0
% 264.57/206.76 |
% 264.57/206.76 | Equations (551) can reduce 347 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (493) ~ (all_0_22_22 = e2)
% 264.57/206.76 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1125), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1126) all_0_23_23 = e2
% 264.57/206.76 |
% 264.57/206.76 | Equations (1126) can reduce 110 to:
% 264.57/206.76 | (666) ~ (all_0_18_18 = e2)
% 264.57/206.76 |
% 264.57/206.76 | Equations (1126) can reduce 982 to:
% 264.57/206.76 | (658) ~ (e3 = e2)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 658 yields:
% 264.57/206.76 | (56) ~ (e3 = e2)
% 264.57/206.76 |
% 264.57/206.76 | From (1126) and (10550) follows:
% 264.57/206.76 | (812) op(e2, e4) = e1
% 264.57/206.76 |
% 264.57/206.76 | From (1126) and (10551) follows:
% 264.57/206.76 | (6582) op(e4, e2) = e3
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (733), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (947) ~ (op(e2, e4) = e1)
% 264.57/206.76 |
% 264.57/206.76 | Using (812) and (947) yields:
% 264.57/206.76 | (821) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (812) op(e2, e4) = e1
% 264.57/206.76 | (950) all_0_25_25 = e1
% 264.57/206.76 |
% 264.57/206.76 | Equations (950) can reduce 501 to:
% 264.57/206.76 | (477) ~ (e4 = e1)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 477 yields:
% 264.57/206.76 | (65) ~ (e4 = e1)
% 264.57/206.76 |
% 264.57/206.76 | Equations (950) can reduce 646 to:
% 264.57/206.76 | (1002) ~ (e2 = e1)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 1002 yields:
% 264.57/206.76 | (329) ~ (e2 = e1)
% 264.57/206.76 |
% 264.57/206.76 | Equations (950) can reduce 1925 to:
% 264.57/206.76 | (37) ~ (e1 = e0)
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (111), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (468) all_0_15_15 = e3
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (472,468) yields a new equation:
% 264.57/206.76 | (764) e3 = e2
% 264.57/206.76 |
% 264.57/206.76 | Equations (764) can reduce 56 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (433) ~ (all_0_15_15 = e3)
% 264.57/206.76 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (6528), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (6609) ~ (op(e4, e2) = e3)
% 264.57/206.76 |
% 264.57/206.76 | Using (6582) and (6609) yields:
% 264.57/206.76 | (821) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (6582) op(e4, e2) = e3
% 264.57/206.76 | (1970) all_0_17_17 = e3
% 264.57/206.76 |
% 264.57/206.76 | Equations (1970) can reduce 74 to:
% 264.57/206.76 | (559) ~ (all_0_18_18 = e3)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 559 yields:
% 264.57/206.76 | (560) ~ (all_0_18_18 = e3)
% 264.57/206.76 |
% 264.57/206.76 | Equations (1970) can reduce 286 to:
% 264.57/206.76 | (6619) ~ (all_0_32_32 = e3)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 6619 yields:
% 264.57/206.76 | (1089) ~ (all_0_32_32 = e3)
% 264.57/206.76 |
% 264.57/206.76 | Equations (1970) can reduce 132 to:
% 264.57/206.76 | (776) ~ (all_0_37_37 = e3)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 776 yields:
% 264.57/206.76 | (777) ~ (all_0_37_37 = e3)
% 264.57/206.76 |
% 264.57/206.76 | Equations (1970) can reduce 869 to:
% 264.57/206.76 | (695) ~ (e4 = e3)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 695 yields:
% 264.57/206.76 | (277) ~ (e4 = e3)
% 264.57/206.76 |
% 264.57/206.76 | Equations (1970) can reduce 2422 to:
% 264.57/206.76 | (88) ~ (e3 = e0)
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (155), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (759) all_0_30_30 = e3
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (790,759) yields a new equation:
% 264.57/206.76 | (980) e3 = e0
% 264.57/206.76 |
% 264.57/206.76 | Equations (980) can reduce 88 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (568) ~ (all_0_30_30 = e3)
% 264.57/206.76 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (261), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1229) all_0_32_32 = e4
% 264.57/206.76 |
% 264.57/206.76 | Equations (1229) can reduce 727 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (727) ~ (all_0_32_32 = e4)
% 264.57/206.76 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (323), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (476) all_0_15_15 = e1
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (472,476) yields a new equation:
% 264.57/206.76 | (717) e2 = e1
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 717 yields:
% 264.57/206.76 | (718) e2 = e1
% 264.57/206.76 |
% 264.57/206.76 | Equations (718) can reduce 329 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (482) ~ (all_0_15_15 = e1)
% 264.57/206.76 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (17), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1498) all_0_17_17 = e1
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (1498,1970) yields a new equation:
% 264.57/206.76 | (706) e3 = e1
% 264.57/206.76 |
% 264.57/206.76 | Equations (706) can reduce 318 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (1501) ~ (all_0_17_17 = e1)
% 264.57/206.76 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (164), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (814) all_0_35_35 = e3
% 264.57/206.76 |
% 264.57/206.76 | From (814) and (2803) follows:
% 264.57/206.76 | (1314) op(e4, e3) = e0
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1047), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1134) all_0_18_18 = e3
% 264.57/206.76 |
% 264.57/206.76 | Equations (1134) can reduce 560 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (560) ~ (all_0_18_18 = e3)
% 264.57/206.76 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (734), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1315) ~ (op(e4, e3) = e0)
% 264.57/206.76 |
% 264.57/206.76 | Using (1314) and (1315) yields:
% 264.57/206.76 | (821) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (1314) op(e4, e3) = e0
% 264.57/206.76 | (873) all_0_16_16 = e0
% 264.57/206.76 |
% 264.57/206.76 | Equations (873) can reduce 9 to:
% 264.57/206.76 | (3378) ~ (all_0_18_18 = e0)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 3378 yields:
% 264.57/206.76 | (1156) ~ (all_0_18_18 = e0)
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1270), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1274) all_0_18_18 = e2
% 264.57/206.76 |
% 264.57/206.76 | Equations (1274) can reduce 666 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (666) ~ (all_0_18_18 = e2)
% 264.57/206.76 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (185), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1153) all_0_18_18 = e0
% 264.57/206.76 |
% 264.57/206.76 | Equations (1153) can reduce 1156 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (1156) ~ (all_0_18_18 = e0)
% 264.57/206.76 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1277), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1278) all_0_18_18 = e1
% 264.57/206.76 |
% 264.57/206.76 | Equations (1278) can reduce 419 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (419) ~ (all_0_18_18 = e1)
% 264.57/206.76 | (1153) all_0_18_18 = e0
% 264.57/206.76 |
% 264.57/206.76 | Equations (1153) can reduce 1156 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (570) ~ (all_0_35_35 = e3)
% 264.57/206.76 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (762), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (763) all_0_31_31 = e3
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (1446,763) yields a new equation:
% 264.57/206.76 | (690) e4 = e3
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 690 yields:
% 264.57/206.76 | (691) e4 = e3
% 264.57/206.76 |
% 264.57/206.76 | Equations (691) can reduce 277 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (510) ~ (all_0_31_31 = e3)
% 264.57/206.76 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.57/206.76 |
% 264.57/206.76 | Equations (1446) can reduce 510 to:
% 264.57/206.76 | (277) ~ (e4 = e3)
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1502), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (999) all_0_22_22 = e1
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (999,847) yields a new equation:
% 264.57/206.76 | (960) e1 = e0
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 960 yields:
% 264.57/206.76 | (961) e1 = e0
% 264.57/206.76 |
% 264.57/206.76 | Equations (961) can reduce 37 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (1018) ~ (all_0_22_22 = e1)
% 264.57/206.76 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1506), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (772) all_0_32_32 = e3
% 264.57/206.76 |
% 264.57/206.76 | Equations (772) can reduce 1089 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (1089) ~ (all_0_32_32 = e3)
% 264.57/206.76 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1566), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (543) all_0_27_27 = e1
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (435,543) yields a new equation:
% 264.57/206.76 | (955) e4 = e1
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 955 yields:
% 264.57/206.76 | (480) e4 = e1
% 264.57/206.76 |
% 264.57/206.76 | Equations (480) can reduce 65 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (402) ~ (all_0_27_27 = e1)
% 264.57/206.76 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (1618), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1101) all_0_32_32 = e2
% 264.57/206.76 |
% 264.57/206.76 | Equations (1101) can reduce 1089 to:
% 264.57/206.76 | (658) ~ (e3 = e2)
% 264.57/206.76 |
% 264.57/206.76 | Simplifying 658 yields:
% 264.57/206.76 | (56) ~ (e3 = e2)
% 264.57/206.76 |
% 264.57/206.76 | Equations (1101) can reduce 424 to:
% 264.57/206.76 | (329) ~ (e2 = e1)
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (271), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (1232) all_0_37_37 = e4
% 264.57/206.76 |
% 264.57/206.76 | Equations (1232) can reduce 2658 to:
% 264.57/206.76 | (366) $false
% 264.57/206.76 |
% 264.57/206.76 |-The branch is then unsatisfiable
% 264.57/206.76 |-Branch two:
% 264.57/206.76 | (2658) ~ (all_0_37_37 = e4)
% 264.57/206.76 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.57/206.76 |
% 264.57/206.76 +-Applying beta-rule and splitting (767), into two cases.
% 264.57/206.76 |-Branch one:
% 264.57/206.76 | (772) all_0_32_32 = e3
% 264.57/206.76 |
% 264.57/206.76 | Combining equations (772,1101) yields a new equation:
% 264.57/206.76 | (3874) e3 = e2
% 264.57/206.76 |
% 264.57/206.77 | Simplifying 3874 yields:
% 264.57/206.77 | (764) e3 = e2
% 264.57/206.77 |
% 264.57/206.77 | Equations (764) can reduce 56 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (1089) ~ (all_0_32_32 = e3)
% 264.57/206.77 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (3872), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1073) all_0_37_37 = e3
% 264.57/206.77 |
% 264.57/206.77 | Equations (1073) can reduce 777 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (777) ~ (all_0_37_37 = e3)
% 264.57/206.77 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (709), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (921) all_0_16_16 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (921) can reduce 9 to:
% 264.57/206.77 | (2559) ~ (all_0_18_18 = e1)
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 2559 yields:
% 264.57/206.77 | (419) ~ (all_0_18_18 = e1)
% 264.57/206.77 |
% 264.57/206.77 | Equations (921) can reduce 664 to:
% 264.57/206.77 | (1002) ~ (e2 = e1)
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 1002 yields:
% 264.57/206.77 | (329) ~ (e2 = e1)
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1047), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1134) all_0_18_18 = e3
% 264.57/206.77 |
% 264.57/206.77 | Equations (1134) can reduce 560 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (560) ~ (all_0_18_18 = e3)
% 264.57/206.77 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1270), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1274) all_0_18_18 = e2
% 264.57/206.77 |
% 264.57/206.77 | Equations (1274) can reduce 666 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (666) ~ (all_0_18_18 = e2)
% 264.57/206.77 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1277), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1278) all_0_18_18 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (1278) can reduce 419 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (419) ~ (all_0_18_18 = e1)
% 264.57/206.77 | (1153) all_0_18_18 = e0
% 264.57/206.77 |
% 264.57/206.77 | Equations (1153) can reduce 560 to:
% 264.57/206.77 | (391) ~ (e3 = e0)
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 391 yields:
% 264.57/206.77 | (88) ~ (e3 = e0)
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1586), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1587) all_0_32_32 = e1
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (1101,1587) yields a new equation:
% 264.57/206.77 | (717) e2 = e1
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 717 yields:
% 264.57/206.77 | (718) e2 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (718) can reduce 329 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (424) ~ (all_0_32_32 = e1)
% 264.57/206.77 | (1590) all_0_37_37 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (1590) can reduce 777 to:
% 264.57/206.77 | (429) ~ (e3 = e1)
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 429 yields:
% 264.57/206.77 | (318) ~ (e3 = e1)
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (269), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1134) all_0_18_18 = e3
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (1153,1134) yields a new equation:
% 264.57/206.77 | (980) e3 = e0
% 264.57/206.77 |
% 264.57/206.77 | Equations (980) can reduce 88 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (560) ~ (all_0_18_18 = e3)
% 264.57/206.77 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 264.57/206.77 |
% 264.57/206.77 | Equations (1153) can reduce 560 to:
% 264.57/206.77 | (391) ~ (e3 = e0)
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 391 yields:
% 264.57/206.77 | (88) ~ (e3 = e0)
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (7536), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (903) all_0_20_20 = e3
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (903,1453) yields a new equation:
% 264.57/206.77 | (691) e4 = e3
% 264.57/206.77 |
% 264.57/206.77 | Equations (691) can reduce 277 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (564) ~ (all_0_20_20 = e3)
% 264.57/206.77 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (8890), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (2438) all_0_25_25 = e3
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (950,2438) yields a new equation:
% 264.57/206.77 | (706) e3 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (706) can reduce 318 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (566) ~ (all_0_25_25 = e3)
% 264.57/206.77 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (8920), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (759) all_0_30_30 = e3
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (790,759) yields a new equation:
% 264.57/206.77 | (980) e3 = e0
% 264.57/206.77 |
% 264.57/206.77 | Equations (980) can reduce 88 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (568) ~ (all_0_30_30 = e3)
% 264.57/206.77 | (814) all_0_35_35 = e3
% 264.57/206.77 |
% 264.57/206.77 | Equations (814) can reduce 570 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (985) ~ (all_0_16_16 = e1)
% 264.57/206.77 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1586), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1587) all_0_32_32 = e1
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (1587,1101) yields a new equation:
% 264.57/206.77 | (718) e2 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (718) can reduce 329 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (424) ~ (all_0_32_32 = e1)
% 264.57/206.77 | (1590) all_0_37_37 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (1590) can reduce 2658 to:
% 264.57/206.77 | (477) ~ (e4 = e1)
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 477 yields:
% 264.57/206.77 | (65) ~ (e4 = e1)
% 264.57/206.77 |
% 264.57/206.77 | Equations (1590) can reduce 777 to:
% 264.57/206.77 | (429) ~ (e3 = e1)
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 429 yields:
% 264.57/206.77 | (318) ~ (e3 = e1)
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1090), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (410) all_0_33_33 = e3
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (410,418) yields a new equation:
% 264.57/206.77 | (933) e3 = e1
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 933 yields:
% 264.57/206.77 | (706) e3 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (706) can reduce 318 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (403) ~ (all_0_33_33 = e3)
% 264.57/206.77 | (1027) all_0_34_34 = e3
% 264.57/206.77 |
% 264.57/206.77 | Equations (1027) can reduce 426 to:
% 264.57/206.77 | (318) ~ (e3 = e1)
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1373), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1498) all_0_17_17 = e1
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (1498,1970) yields a new equation:
% 264.57/206.77 | (706) e3 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (706) can reduce 318 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (1501) ~ (all_0_17_17 = e1)
% 264.57/206.77 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1681), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1278) all_0_18_18 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (1278) can reduce 419 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (419) ~ (all_0_18_18 = e1)
% 264.57/206.77 | (716) all_0_19_19 = e1
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (716,711) yields a new equation:
% 264.57/206.77 | (480) e4 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (480) can reduce 65 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (508) ~ (all_0_32_32 = e2)
% 264.57/206.77 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1586), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1587) all_0_32_32 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (1587) can reduce 424 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (424) ~ (all_0_32_32 = e1)
% 264.57/206.77 | (1590) all_0_37_37 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (1590) can reduce 336 to:
% 264.57/206.77 | (424) ~ (all_0_32_32 = e1)
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (1622), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1587) all_0_32_32 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (1587) can reduce 424 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (424) ~ (all_0_32_32 = e1)
% 264.57/206.77 | (1626) all_0_32_32 = e0
% 264.57/206.77 |
% 264.57/206.77 | Equations (1626) can reduce 1946 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (810) ~ (all_0_23_23 = e2)
% 264.57/206.77 | (1393) all_0_24_24 = e2
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (940,1393) yields a new equation:
% 264.57/206.77 | (718) e2 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (718) can reduce 329 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (1143) ~ (all_0_38_38 = e4)
% 264.57/206.77 | (365) all_0_39_39 = e4
% 264.57/206.77 |
% 264.57/206.77 | Combining equations (380,365) yields a new equation:
% 264.57/206.77 | (490) e4 = e0
% 264.57/206.77 |
% 264.57/206.77 | Equations (490) can reduce 287 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (496) ~ (all_0_20_20 = e4)
% 264.57/206.77 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (2301), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (903) all_0_20_20 = e3
% 264.57/206.77 |
% 264.57/206.77 | Equations (903) can reduce 564 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (564) ~ (all_0_20_20 = e3)
% 264.57/206.77 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (2305), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (736) all_0_20_20 = e2
% 264.57/206.77 |
% 264.57/206.77 | Equations (736) can reduce 1114 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (1114) ~ (all_0_20_20 = e2)
% 264.57/206.77 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (256), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1453) all_0_20_20 = e4
% 264.57/206.77 |
% 264.57/206.77 | Equations (1453) can reduce 496 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (496) ~ (all_0_20_20 = e4)
% 264.57/206.77 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (2309), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (1175) all_0_20_20 = e1
% 264.57/206.77 |
% 264.57/206.77 | Equations (1175) can reduce 167 to:
% 264.57/206.77 | (1964) ~ (all_0_24_24 = e1)
% 264.57/206.77 |
% 264.57/206.77 | Simplifying 1964 yields:
% 264.57/206.77 | (943) ~ (all_0_24_24 = e1)
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (154), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (685) all_0_24_24 = e4
% 264.57/206.77 |
% 264.57/206.77 | Equations (685) can reduce 580 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (580) ~ (all_0_24_24 = e4)
% 264.57/206.77 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (688), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.77 | (939) all_0_24_24 = e3
% 264.57/206.77 |
% 264.57/206.77 | Equations (939) can reduce 963 to:
% 264.57/206.77 | (366) $false
% 264.57/206.77 |
% 264.57/206.77 |-The branch is then unsatisfiable
% 264.57/206.77 |-Branch two:
% 264.57/206.77 | (963) ~ (all_0_24_24 = e3)
% 264.57/206.77 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.57/206.77 |
% 264.57/206.77 +-Applying beta-rule and splitting (721), into two cases.
% 264.57/206.77 |-Branch one:
% 264.57/206.78 | (940) all_0_24_24 = e1
% 264.57/206.78 |
% 264.57/206.78 | Equations (940) can reduce 943 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (943) ~ (all_0_24_24 = e1)
% 264.57/206.78 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (968), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1393) all_0_24_24 = e2
% 264.57/206.78 |
% 264.57/206.78 | Equations (1393) can reduce 580 to:
% 264.57/206.78 | (444) ~ (e4 = e2)
% 264.57/206.78 |
% 264.57/206.78 | Simplifying 444 yields:
% 264.57/206.78 | (19) ~ (e4 = e2)
% 264.57/206.78 |
% 264.57/206.78 | Equations (1393) can reduce 963 to:
% 264.57/206.78 | (658) ~ (e3 = e2)
% 264.57/206.78 |
% 264.57/206.78 | Simplifying 658 yields:
% 264.57/206.78 | (56) ~ (e3 = e2)
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (7219), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (449) all_0_21_21 = e4
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (449,453) yields a new equation:
% 264.57/206.78 | (690) e4 = e3
% 264.57/206.78 |
% 264.57/206.78 | Simplifying 690 yields:
% 264.57/206.78 | (691) e4 = e3
% 264.57/206.78 |
% 264.57/206.78 | Equations (691) can reduce 277 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (448) ~ (all_0_21_21 = e4)
% 264.57/206.78 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (7224), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (831) all_0_22_22 = e4
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (847,831) yields a new equation:
% 264.57/206.78 | (490) e4 = e0
% 264.57/206.78 |
% 264.57/206.78 | Equations (490) can reduce 287 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (576) ~ (all_0_22_22 = e4)
% 264.57/206.78 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (137), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1515) all_0_23_23 = e4
% 264.57/206.78 |
% 264.57/206.78 | From (1515) and (10551) follows:
% 264.57/206.78 | (533) op(e4, e4) = e3
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (10553), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (7213) ~ (op(e4, e4) = e3)
% 264.57/206.78 |
% 264.57/206.78 | Using (533) and (7213) yields:
% 264.57/206.78 | (821) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (533) op(e4, e4) = e3
% 264.57/206.78 | (764) e3 = e2
% 264.57/206.78 |
% 264.57/206.78 | Equations (764) can reduce 56 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (578) ~ (all_0_23_23 = e4)
% 264.57/206.78 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (7426), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1515) all_0_23_23 = e4
% 264.57/206.78 |
% 264.57/206.78 | Equations (1515) can reduce 578 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (578) ~ (all_0_23_23 = e4)
% 264.57/206.78 | (685) all_0_24_24 = e4
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (1393,685) yields a new equation:
% 264.57/206.78 | (539) e4 = e2
% 264.57/206.78 |
% 264.57/206.78 | Equations (539) can reduce 19 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (668) ~ (all_0_24_24 = e2)
% 264.57/206.78 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (2760), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (940) all_0_24_24 = e1
% 264.57/206.78 |
% 264.57/206.78 | Equations (940) can reduce 943 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (943) ~ (all_0_24_24 = e1)
% 264.57/206.78 | (1069) all_0_24_24 = e0
% 264.57/206.78 |
% 264.57/206.78 | Equations (1069) can reduce 382 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (1409) ~ (all_0_20_20 = e1)
% 264.57/206.78 | (835) all_0_20_20 = e0
% 264.57/206.78 |
% 264.57/206.78 | Equations (835) can reduce 839 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (10963) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 264.57/206.78 |
% 264.57/206.78 | Applying alpha-rule on (10963) yields:
% 264.57/206.78 | (10607) all_0_11_11 = all_0_17_17
% 264.57/206.78 | (10965) ( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (241), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1921) all_0_25_25 = e0
% 264.57/206.78 |
% 264.57/206.78 | Equations (1921) can reduce 1925 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (1925) ~ (all_0_25_25 = e0)
% 264.57/206.78 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (231), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1453) all_0_20_20 = e4
% 264.57/206.78 |
% 264.57/206.78 | Equations (1453) can reduce 95 to:
% 264.57/206.78 | (10614) ~ (all_0_25_25 = e4)
% 264.57/206.78 |
% 264.57/206.78 | Simplifying 10614 yields:
% 264.57/206.78 | (501) ~ (all_0_25_25 = e4)
% 264.57/206.78 |
% 264.57/206.78 | Equations (1453) can reduce 249 to:
% 264.57/206.78 | (1159) ~ (all_0_35_35 = e4)
% 264.57/206.78 |
% 264.57/206.78 | Simplifying 1159 yields:
% 264.57/206.78 | (514) ~ (all_0_35_35 = e4)
% 264.57/206.78 |
% 264.57/206.78 | Equations (1453) can reduce 564 to:
% 264.57/206.78 | (277) ~ (e4 = e3)
% 264.57/206.78 |
% 264.57/206.78 | Equations (1453) can reduce 1114 to:
% 264.57/206.78 | (19) ~ (e4 = e2)
% 264.57/206.78 |
% 264.57/206.78 | Equations (1453) can reduce 839 to:
% 264.57/206.78 | (287) ~ (e4 = e0)
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (165), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1161) all_0_35_35 = e4
% 264.57/206.78 |
% 264.57/206.78 | Equations (1161) can reduce 514 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (514) ~ (all_0_35_35 = e4)
% 264.57/206.78 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (308), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1175) all_0_20_20 = e1
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (1175,1453) yields a new equation:
% 264.57/206.78 | (480) e4 = e1
% 264.57/206.78 |
% 264.57/206.78 | Equations (480) can reduce 65 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (1409) ~ (all_0_20_20 = e1)
% 264.57/206.78 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (1164), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (2611) all_0_36_36 = e4
% 264.57/206.78 |
% 264.57/206.78 | Equations (2611) can reduce 586 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (586) ~ (all_0_36_36 = e4)
% 264.57/206.78 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (2633), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1232) all_0_37_37 = e4
% 264.57/206.78 |
% 264.57/206.78 | Equations (1232) can reduce 2658 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (2658) ~ (all_0_37_37 = e4)
% 264.57/206.78 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (4682), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (526) all_0_21_21 = e1
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (453,526) yields a new equation:
% 264.57/206.78 | (933) e3 = e1
% 264.57/206.78 |
% 264.57/206.78 | Simplifying 933 yields:
% 264.57/206.78 | (706) e3 = e1
% 264.57/206.78 |
% 264.57/206.78 | Equations (706) can reduce 318 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (363) ~ (all_0_21_21 = e1)
% 264.57/206.78 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (2659), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1165) all_0_38_38 = e4
% 264.57/206.78 |
% 264.57/206.78 | Equations (1165) can reduce 173 to:
% 264.57/206.78 | (514) ~ (all_0_35_35 = e4)
% 264.57/206.78 |
% 264.57/206.78 | Equations (1165) can reduce 93 to:
% 264.57/206.78 | (586) ~ (all_0_36_36 = e4)
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (4688), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (999) all_0_22_22 = e1
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (847,999) yields a new equation:
% 264.57/206.78 | (961) e1 = e0
% 264.57/206.78 |
% 264.57/206.78 | Equations (961) can reduce 37 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (1018) ~ (all_0_22_22 = e1)
% 264.57/206.78 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (5033), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (3952) all_0_23_23 = e1
% 264.57/206.78 |
% 264.57/206.78 | Equations (3952) can reduce 420 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (420) ~ (all_0_23_23 = e1)
% 264.57/206.78 | (940) all_0_24_24 = e1
% 264.57/206.78 |
% 264.57/206.78 | Equations (940) can reduce 963 to:
% 264.57/206.78 | (429) ~ (e3 = e1)
% 264.57/206.78 |
% 264.57/206.78 | Simplifying 429 yields:
% 264.57/206.78 | (318) ~ (e3 = e1)
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (51), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (736) all_0_20_20 = e2
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (736,1453) yields a new equation:
% 264.57/206.78 | (539) e4 = e2
% 264.57/206.78 |
% 264.57/206.78 | Equations (539) can reduce 19 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (1114) ~ (all_0_20_20 = e2)
% 264.57/206.78 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (1115), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (522) all_0_21_21 = e2
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (522,453) yields a new equation:
% 264.57/206.78 | (764) e3 = e2
% 264.57/206.78 |
% 264.57/206.78 | Equations (764) can reduce 56 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (361) ~ (all_0_21_21 = e2)
% 264.57/206.78 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (1121), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (917) all_0_22_22 = e2
% 264.57/206.78 |
% 264.57/206.78 | Combining equations (847,917) yields a new equation:
% 264.57/206.78 | (551) e2 = e0
% 264.57/206.78 |
% 264.57/206.78 | Equations (551) can reduce 347 to:
% 264.57/206.78 | (366) $false
% 264.57/206.78 |
% 264.57/206.78 |-The branch is then unsatisfiable
% 264.57/206.78 |-Branch two:
% 264.57/206.78 | (493) ~ (all_0_22_22 = e2)
% 264.57/206.78 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 264.57/206.78 |
% 264.57/206.78 +-Applying beta-rule and splitting (1125), into two cases.
% 264.57/206.78 |-Branch one:
% 264.57/206.78 | (1126) all_0_23_23 = e2
% 264.57/206.78 |
% 264.57/206.78 | Equations (1126) can reduce 110 to:
% 264.57/206.78 | (666) ~ (all_0_18_18 = e2)
% 264.57/206.78 |
% 264.57/206.78 | Equations (1126) can reduce 982 to:
% 264.57/206.78 | (658) ~ (e3 = e2)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 658 yields:
% 264.57/206.79 | (56) ~ (e3 = e2)
% 264.57/206.79 |
% 264.57/206.79 | From (1126) and (10550) follows:
% 264.57/206.79 | (812) op(e2, e4) = e1
% 264.57/206.79 |
% 264.57/206.79 | From (1126) and (10551) follows:
% 264.57/206.79 | (6582) op(e4, e2) = e3
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (733), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (947) ~ (op(e2, e4) = e1)
% 264.57/206.79 |
% 264.57/206.79 | Using (812) and (947) yields:
% 264.57/206.79 | (821) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (812) op(e2, e4) = e1
% 264.57/206.79 | (950) all_0_25_25 = e1
% 264.57/206.79 |
% 264.57/206.79 | Equations (950) can reduce 128 to:
% 264.57/206.79 | (5348) ~ (all_0_26_26 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 5348 yields:
% 264.57/206.79 | (1008) ~ (all_0_26_26 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Equations (950) can reduce 98 to:
% 264.57/206.79 | (1176) ~ (all_0_35_35 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 1176 yields:
% 264.57/206.79 | (1177) ~ (all_0_35_35 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Equations (950) can reduce 501 to:
% 264.57/206.79 | (477) ~ (e4 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 477 yields:
% 264.57/206.79 | (65) ~ (e4 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Equations (950) can reduce 1925 to:
% 264.57/206.79 | (37) ~ (e1 = e0)
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (111), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (468) all_0_15_15 = e3
% 264.57/206.79 |
% 264.57/206.79 | Combining equations (472,468) yields a new equation:
% 264.57/206.79 | (764) e3 = e2
% 264.57/206.79 |
% 264.57/206.79 | Equations (764) can reduce 56 to:
% 264.57/206.79 | (366) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (433) ~ (all_0_15_15 = e3)
% 264.57/206.79 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (122), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (1161) all_0_35_35 = e4
% 264.57/206.79 |
% 264.57/206.79 | Equations (1161) can reduce 514 to:
% 264.57/206.79 | (366) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (514) ~ (all_0_35_35 = e4)
% 264.57/206.79 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (1181), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (814) all_0_35_35 = e3
% 264.57/206.79 |
% 264.57/206.79 | Equations (814) can reduce 1177 to:
% 264.57/206.79 | (318) ~ (e3 = e1)
% 264.57/206.79 |
% 264.57/206.79 | From (814) and (2803) follows:
% 264.57/206.79 | (1314) op(e4, e3) = e0
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (734), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (1315) ~ (op(e4, e3) = e0)
% 264.57/206.79 |
% 264.57/206.79 | Using (1314) and (1315) yields:
% 264.57/206.79 | (821) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (1314) op(e4, e3) = e0
% 264.57/206.79 | (873) all_0_16_16 = e0
% 264.57/206.79 |
% 264.57/206.79 | Equations (873) can reduce 9 to:
% 264.57/206.79 | (3378) ~ (all_0_18_18 = e0)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 3378 yields:
% 264.57/206.79 | (1156) ~ (all_0_18_18 = e0)
% 264.57/206.79 |
% 264.57/206.79 | Equations (873) can reduce 64 to:
% 264.57/206.79 | (3457) ~ (all_0_36_36 = e0)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 3457 yields:
% 264.57/206.79 | (386) ~ (all_0_36_36 = e0)
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (228), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (921) all_0_16_16 = e1
% 264.57/206.79 |
% 264.57/206.79 | Combining equations (921,873) yields a new equation:
% 264.57/206.79 | (960) e1 = e0
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 960 yields:
% 264.57/206.79 | (961) e1 = e0
% 264.57/206.79 |
% 264.57/206.79 | Equations (961) can reduce 37 to:
% 264.57/206.79 | (366) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (985) ~ (all_0_16_16 = e1)
% 264.57/206.79 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (986), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (526) all_0_21_21 = e1
% 264.57/206.79 |
% 264.57/206.79 | Combining equations (453,526) yields a new equation:
% 264.57/206.79 | (933) e3 = e1
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 933 yields:
% 264.57/206.79 | (706) e3 = e1
% 264.57/206.79 |
% 264.57/206.79 | Equations (706) can reduce 318 to:
% 264.57/206.79 | (366) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (363) ~ (all_0_21_21 = e1)
% 264.57/206.79 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (185), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (1153) all_0_18_18 = e0
% 264.57/206.79 |
% 264.57/206.79 | Equations (1153) can reduce 1156 to:
% 264.57/206.79 | (366) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (1156) ~ (all_0_18_18 = e0)
% 264.57/206.79 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (998), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (1005) all_0_26_26 = e1
% 264.57/206.79 |
% 264.57/206.79 | Equations (1005) can reduce 1008 to:
% 264.57/206.79 | (366) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (1008) ~ (all_0_26_26 = e1)
% 264.57/206.79 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (1009), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (1010) all_0_31_31 = e1
% 264.57/206.79 |
% 264.57/206.79 | Combining equations (1446,1010) yields a new equation:
% 264.57/206.79 | (955) e4 = e1
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 955 yields:
% 264.57/206.79 | (480) e4 = e1
% 264.57/206.79 |
% 264.57/206.79 | Equations (480) can reduce 65 to:
% 264.57/206.79 | (366) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (423) ~ (all_0_31_31 = e1)
% 264.57/206.79 | (1015) all_0_36_36 = e1
% 264.57/206.79 |
% 264.57/206.79 | Equations (1015) can reduce 183 to:
% 264.57/206.79 | (2561) ~ (all_0_37_37 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 2561 yields:
% 264.57/206.79 | (2562) ~ (all_0_37_37 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Equations (1015) can reduce 586 to:
% 264.57/206.79 | (477) ~ (e4 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 477 yields:
% 264.57/206.79 | (65) ~ (e4 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Equations (1015) can reduce 386 to:
% 264.57/206.79 | (37) ~ (e1 = e0)
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (17), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (1498) all_0_17_17 = e1
% 264.57/206.79 |
% 264.57/206.79 | Combining equations (1498,10607) yields a new equation:
% 264.57/206.79 | (1292) all_0_11_11 = e1
% 264.57/206.79 |
% 264.57/206.79 | Equations (1498) can reduce 74 to:
% 264.57/206.79 | (2559) ~ (all_0_18_18 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 2559 yields:
% 264.57/206.79 | (419) ~ (all_0_18_18 = e1)
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (269), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (1134) all_0_18_18 = e3
% 264.57/206.79 |
% 264.57/206.79 | Equations (1134) can reduce 419 to:
% 264.57/206.79 | (318) ~ (e3 = e1)
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (10323), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (11104) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Applying alpha-rule on (11104) yields:
% 264.57/206.79 | (10607) all_0_11_11 = all_0_17_17
% 264.57/206.79 | (1501) ~ (all_0_17_17 = e1)
% 264.57/206.79 |
% 264.57/206.79 | Combining equations (10607,1292) yields a new equation:
% 264.57/206.79 | (11107) all_0_17_17 = e1
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 11107 yields:
% 264.57/206.79 | (1498) all_0_17_17 = e1
% 264.57/206.79 |
% 264.57/206.79 | Equations (1498) can reduce 1501 to:
% 264.57/206.79 | (366) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (11110) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 264.57/206.79 |
% 264.57/206.79 | Applying alpha-rule on (11110) yields:
% 264.57/206.79 | (10607) all_0_11_11 = all_0_17_17
% 264.57/206.79 | (11112) ( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 264.57/206.79 |
% 264.57/206.79 | Combining equations (10607,1292) yields a new equation:
% 264.57/206.79 | (11107) all_0_17_17 = e1
% 264.57/206.79 |
% 264.57/206.79 | Simplifying 11107 yields:
% 264.57/206.79 | (1498) all_0_17_17 = e1
% 264.57/206.79 |
% 264.57/206.79 +-Applying beta-rule and splitting (6528), into two cases.
% 264.57/206.79 |-Branch one:
% 264.57/206.79 | (6609) ~ (op(e4, e2) = e3)
% 264.57/206.79 |
% 264.57/206.79 | Using (6582) and (6609) yields:
% 264.57/206.79 | (821) $false
% 264.57/206.79 |
% 264.57/206.79 |-The branch is then unsatisfiable
% 264.57/206.79 |-Branch two:
% 264.57/206.79 | (6582) op(e4, e2) = e3
% 264.57/206.79 | (1970) all_0_17_17 = e3
% 264.57/206.79 |
% 264.81/206.79 | Combining equations (1970,1498) yields a new equation:
% 264.81/206.79 | (933) e3 = e1
% 264.81/206.79 |
% 264.81/206.79 | Simplifying 933 yields:
% 264.81/206.79 | (706) e3 = e1
% 264.81/206.79 |
% 264.81/206.79 | Equations (706) can reduce 318 to:
% 264.81/206.79 | (366) $false
% 264.81/206.79 |
% 264.81/206.79 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (560) ~ (all_0_18_18 = e3)
% 264.81/206.80 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (1047), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (1134) all_0_18_18 = e3
% 264.81/206.80 |
% 264.81/206.80 | Equations (1134) can reduce 560 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (560) ~ (all_0_18_18 = e3)
% 264.81/206.80 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (1270), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (1274) all_0_18_18 = e2
% 264.81/206.80 |
% 264.81/206.80 | Equations (1274) can reduce 666 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (666) ~ (all_0_18_18 = e2)
% 264.81/206.80 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (1277), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (1278) all_0_18_18 = e1
% 264.81/206.80 |
% 264.81/206.80 | Equations (1278) can reduce 419 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (419) ~ (all_0_18_18 = e1)
% 264.81/206.80 | (1153) all_0_18_18 = e0
% 264.81/206.80 |
% 264.81/206.80 | Equations (1153) can reduce 1156 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (1501) ~ (all_0_17_17 = e1)
% 264.81/206.80 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (1502), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (999) all_0_22_22 = e1
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (999,847) yields a new equation:
% 264.81/206.80 | (960) e1 = e0
% 264.81/206.80 |
% 264.81/206.80 | Simplifying 960 yields:
% 264.81/206.80 | (961) e1 = e0
% 264.81/206.80 |
% 264.81/206.80 | Equations (961) can reduce 37 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (1018) ~ (all_0_22_22 = e1)
% 264.81/206.80 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (1566), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (543) all_0_27_27 = e1
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (435,543) yields a new equation:
% 264.81/206.80 | (955) e4 = e1
% 264.81/206.80 |
% 264.81/206.80 | Simplifying 955 yields:
% 264.81/206.80 | (480) e4 = e1
% 264.81/206.80 |
% 264.81/206.80 | Equations (480) can reduce 65 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (402) ~ (all_0_27_27 = e1)
% 264.81/206.80 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (1586), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (1587) all_0_32_32 = e1
% 264.81/206.80 |
% 264.81/206.80 | Equations (1587) can reduce 424 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (424) ~ (all_0_32_32 = e1)
% 264.81/206.80 | (1590) all_0_37_37 = e1
% 264.81/206.80 |
% 264.81/206.80 | Equations (1590) can reduce 2562 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (570) ~ (all_0_35_35 = e3)
% 264.81/206.80 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (7536), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (903) all_0_20_20 = e3
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (1453,903) yields a new equation:
% 264.81/206.80 | (690) e4 = e3
% 264.81/206.80 |
% 264.81/206.80 | Simplifying 690 yields:
% 264.81/206.80 | (691) e4 = e3
% 264.81/206.80 |
% 264.81/206.80 | Equations (691) can reduce 277 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (564) ~ (all_0_20_20 = e3)
% 264.81/206.80 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (8890), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (2438) all_0_25_25 = e3
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (950,2438) yields a new equation:
% 264.81/206.80 | (706) e3 = e1
% 264.81/206.80 |
% 264.81/206.80 | Equations (706) can reduce 318 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (566) ~ (all_0_25_25 = e3)
% 264.81/206.80 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (164), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (814) all_0_35_35 = e3
% 264.81/206.80 |
% 264.81/206.80 | Equations (814) can reduce 570 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (570) ~ (all_0_35_35 = e3)
% 264.81/206.80 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (8920), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (759) all_0_30_30 = e3
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (790,759) yields a new equation:
% 264.81/206.80 | (980) e3 = e0
% 264.81/206.80 |
% 264.81/206.80 | Equations (980) can reduce 88 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (568) ~ (all_0_30_30 = e3)
% 264.81/206.80 | (814) all_0_35_35 = e3
% 264.81/206.80 |
% 264.81/206.80 | Equations (814) can reduce 570 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (810) ~ (all_0_23_23 = e2)
% 264.81/206.80 | (1393) all_0_24_24 = e2
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (940,1393) yields a new equation:
% 264.81/206.80 | (718) e2 = e1
% 264.81/206.80 |
% 264.81/206.80 | Equations (718) can reduce 329 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (1143) ~ (all_0_38_38 = e4)
% 264.81/206.80 | (365) all_0_39_39 = e4
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (380,365) yields a new equation:
% 264.81/206.80 | (490) e4 = e0
% 264.81/206.80 |
% 264.81/206.80 | Equations (490) can reduce 287 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (496) ~ (all_0_20_20 = e4)
% 264.81/206.80 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (2301), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (903) all_0_20_20 = e3
% 264.81/206.80 |
% 264.81/206.80 | Equations (903) can reduce 564 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (564) ~ (all_0_20_20 = e3)
% 264.81/206.80 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (2305), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (736) all_0_20_20 = e2
% 264.81/206.80 |
% 264.81/206.80 | Equations (736) can reduce 1114 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (1114) ~ (all_0_20_20 = e2)
% 264.81/206.80 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (256), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (1453) all_0_20_20 = e4
% 264.81/206.80 |
% 264.81/206.80 | Equations (1453) can reduce 496 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (496) ~ (all_0_20_20 = e4)
% 264.81/206.80 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (2309), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (1175) all_0_20_20 = e1
% 264.81/206.80 |
% 264.81/206.80 | Equations (1175) can reduce 167 to:
% 264.81/206.80 | (1964) ~ (all_0_24_24 = e1)
% 264.81/206.80 |
% 264.81/206.80 | Simplifying 1964 yields:
% 264.81/206.80 | (943) ~ (all_0_24_24 = e1)
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (154), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (685) all_0_24_24 = e4
% 264.81/206.80 |
% 264.81/206.80 | Equations (685) can reduce 580 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (580) ~ (all_0_24_24 = e4)
% 264.81/206.80 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (688), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (939) all_0_24_24 = e3
% 264.81/206.80 |
% 264.81/206.80 | Equations (939) can reduce 963 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (963) ~ (all_0_24_24 = e3)
% 264.81/206.80 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (721), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (940) all_0_24_24 = e1
% 264.81/206.80 |
% 264.81/206.80 | Equations (940) can reduce 943 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (943) ~ (all_0_24_24 = e1)
% 264.81/206.80 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (968), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (1393) all_0_24_24 = e2
% 264.81/206.80 |
% 264.81/206.80 | Equations (1393) can reduce 580 to:
% 264.81/206.80 | (444) ~ (e4 = e2)
% 264.81/206.80 |
% 264.81/206.80 | Simplifying 444 yields:
% 264.81/206.80 | (19) ~ (e4 = e2)
% 264.81/206.80 |
% 264.81/206.80 | Equations (1393) can reduce 963 to:
% 264.81/206.80 | (658) ~ (e3 = e2)
% 264.81/206.80 |
% 264.81/206.80 | Simplifying 658 yields:
% 264.81/206.80 | (56) ~ (e3 = e2)
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (7219), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (449) all_0_21_21 = e4
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (449,453) yields a new equation:
% 264.81/206.80 | (690) e4 = e3
% 264.81/206.80 |
% 264.81/206.80 | Simplifying 690 yields:
% 264.81/206.80 | (691) e4 = e3
% 264.81/206.80 |
% 264.81/206.80 | Equations (691) can reduce 277 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (448) ~ (all_0_21_21 = e4)
% 264.81/206.80 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (7224), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (831) all_0_22_22 = e4
% 264.81/206.80 |
% 264.81/206.80 | Combining equations (847,831) yields a new equation:
% 264.81/206.80 | (490) e4 = e0
% 264.81/206.80 |
% 264.81/206.80 | Equations (490) can reduce 287 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (576) ~ (all_0_22_22 = e4)
% 264.81/206.80 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (137), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (1515) all_0_23_23 = e4
% 264.81/206.80 |
% 264.81/206.80 | From (1515) and (10551) follows:
% 264.81/206.80 | (533) op(e4, e4) = e3
% 264.81/206.80 |
% 264.81/206.80 +-Applying beta-rule and splitting (10553), into two cases.
% 264.81/206.80 |-Branch one:
% 264.81/206.80 | (7213) ~ (op(e4, e4) = e3)
% 264.81/206.80 |
% 264.81/206.80 | Using (533) and (7213) yields:
% 264.81/206.80 | (821) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.80 |-Branch two:
% 264.81/206.80 | (533) op(e4, e4) = e3
% 264.81/206.80 | (764) e3 = e2
% 264.81/206.80 |
% 264.81/206.80 | Equations (764) can reduce 56 to:
% 264.81/206.80 | (366) $false
% 264.81/206.80 |
% 264.81/206.80 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (578) ~ (all_0_23_23 = e4)
% 264.81/206.81 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (7426), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1515) all_0_23_23 = e4
% 264.81/206.81 |
% 264.81/206.81 | Equations (1515) can reduce 578 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (578) ~ (all_0_23_23 = e4)
% 264.81/206.81 | (685) all_0_24_24 = e4
% 264.81/206.81 |
% 264.81/206.81 | Combining equations (1393,685) yields a new equation:
% 264.81/206.81 | (539) e4 = e2
% 264.81/206.81 |
% 264.81/206.81 | Equations (539) can reduce 19 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (668) ~ (all_0_24_24 = e2)
% 264.81/206.81 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (2760), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (940) all_0_24_24 = e1
% 264.81/206.81 |
% 264.81/206.81 | Equations (940) can reduce 943 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (943) ~ (all_0_24_24 = e1)
% 264.81/206.81 | (1069) all_0_24_24 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (1069) can reduce 382 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (1409) ~ (all_0_20_20 = e1)
% 264.81/206.81 | (835) all_0_20_20 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (835) can reduce 839 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (826) ~ (all_0_22_22 = e0)
% 264.81/206.81 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (3101), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (546) all_0_27_27 = e0
% 264.81/206.81 |
% 264.81/206.81 | Combining equations (435,546) yields a new equation:
% 264.81/206.81 | (842) e4 = e0
% 264.81/206.81 |
% 264.81/206.81 | Simplifying 842 yields:
% 264.81/206.81 | (490) e4 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (490) can reduce 287 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (434) ~ (all_0_27_27 = e0)
% 264.81/206.81 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (3107), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1626) all_0_32_32 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (1626) can reduce 1946 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (1946) ~ (all_0_32_32 = e0)
% 264.81/206.81 | (3111) all_0_37_37 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (3111) can reduce 387 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (1878) ~ (all_0_30_30 = e0)
% 264.81/206.81 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (1879), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1060) all_0_31_31 = e0
% 264.81/206.81 |
% 264.81/206.81 | Combining equations (1060,1446) yields a new equation:
% 264.81/206.81 | (490) e4 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (490) can reduce 287 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (1064) ~ (all_0_31_31 = e0)
% 264.81/206.81 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (1883), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1626) all_0_32_32 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (1626) can reduce 63 to:
% 264.81/206.81 | (826) ~ (all_0_22_22 = e0)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (215), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (747) all_0_30_30 = e2
% 264.81/206.81 |
% 264.81/206.81 | Equations (747) can reduce 740 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (740) ~ (all_0_30_30 = e2)
% 264.81/206.81 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (750), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (751) all_0_31_31 = e2
% 264.81/206.81 |
% 264.81/206.81 | Combining equations (1446,751) yields a new equation:
% 264.81/206.81 | (1111) e4 = e2
% 264.81/206.81 |
% 264.81/206.81 | Simplifying 1111 yields:
% 264.81/206.81 | (539) e4 = e2
% 264.81/206.81 |
% 264.81/206.81 | Equations (539) can reduce 19 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (1099) ~ (all_0_31_31 = e2)
% 264.81/206.81 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (1100), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1101) all_0_32_32 = e2
% 264.81/206.81 |
% 264.81/206.81 | Combining equations (1626,1101) yields a new equation:
% 264.81/206.81 | (551) e2 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (551) can reduce 347 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (508) ~ (all_0_32_32 = e2)
% 264.81/206.81 | (1104) all_0_33_33 = e2 | all_0_34_34 = e2
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (1104), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (414) all_0_33_33 = e2
% 264.81/206.81 |
% 264.81/206.81 | Combining equations (418,414) yields a new equation:
% 264.81/206.81 | (718) e2 = e1
% 264.81/206.81 |
% 264.81/206.81 | Equations (718) can reduce 329 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (401) ~ (all_0_33_33 = e2)
% 264.81/206.81 | (1110) all_0_34_34 = e2
% 264.81/206.81 |
% 264.81/206.81 | Equations (1110) can reduce 4 to:
% 264.81/206.81 | (668) ~ (all_0_24_24 = e2)
% 264.81/206.81 |
% 264.81/206.81 | Equations (1110) can reduce 41 to:
% 264.81/206.81 | (651) ~ (all_0_29_29 = e2)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (155), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (759) all_0_30_30 = e3
% 264.81/206.81 |
% 264.81/206.81 | Equations (759) can reduce 96 to:
% 264.81/206.81 | (569) ~ (all_0_35_35 = e3)
% 264.81/206.81 |
% 264.81/206.81 | Simplifying 569 yields:
% 264.81/206.81 | (570) ~ (all_0_35_35 = e3)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (154), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (685) all_0_24_24 = e4
% 264.81/206.81 |
% 264.81/206.81 | Equations (685) can reduce 580 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (580) ~ (all_0_24_24 = e4)
% 264.81/206.81 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (688), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (939) all_0_24_24 = e3
% 264.81/206.81 |
% 264.81/206.81 | Equations (939) can reduce 963 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (963) ~ (all_0_24_24 = e3)
% 264.81/206.81 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (968), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1393) all_0_24_24 = e2
% 264.81/206.81 |
% 264.81/206.81 | Equations (1393) can reduce 668 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (668) ~ (all_0_24_24 = e2)
% 264.81/206.81 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (2760), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (940) all_0_24_24 = e1
% 264.81/206.81 |
% 264.81/206.81 | Equations (940) can reduce 167 to:
% 264.81/206.81 | (1409) ~ (all_0_20_20 = e1)
% 264.81/206.81 |
% 264.81/206.81 | Equations (940) can reduce 268 to:
% 264.81/206.81 | (1018) ~ (all_0_22_22 = e1)
% 264.81/206.81 |
% 264.81/206.81 | Equations (940) can reduce 85 to:
% 264.81/206.81 | (3164) ~ (all_0_29_29 = e1)
% 264.81/206.81 |
% 264.81/206.81 | Simplifying 3164 yields:
% 264.81/206.81 | (952) ~ (all_0_29_29 = e1)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (357), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1250) all_0_29_29 = e4
% 264.81/206.81 |
% 264.81/206.81 | Equations (1250) can reduce 724 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (724) ~ (all_0_29_29 = e4)
% 264.81/206.81 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (153), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (831) all_0_22_22 = e4
% 264.81/206.81 |
% 264.81/206.81 | Equations (831) can reduce 576 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (576) ~ (all_0_22_22 = e4)
% 264.81/206.81 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (2812), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1023) all_0_29_29 = e3
% 264.81/206.81 |
% 264.81/206.81 | Equations (1023) can reduce 724 to:
% 264.81/206.81 | (695) ~ (e4 = e3)
% 264.81/206.81 |
% 264.81/206.81 | Simplifying 695 yields:
% 264.81/206.81 | (277) ~ (e4 = e3)
% 264.81/206.81 |
% 264.81/206.81 | Equations (1023) can reduce 952 to:
% 264.81/206.81 | (318) ~ (e3 = e1)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (834), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (857) all_0_22_22 = e3
% 264.81/206.81 |
% 264.81/206.81 | Equations (857) can reduce 774 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (774) ~ (all_0_22_22 = e3)
% 264.81/206.81 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (860), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (917) all_0_22_22 = e2
% 264.81/206.81 |
% 264.81/206.81 | Equations (917) can reduce 1018 to:
% 264.81/206.81 | (329) ~ (e2 = e1)
% 264.81/206.81 |
% 264.81/206.81 | Equations (917) can reduce 826 to:
% 264.81/206.81 | (347) ~ (e2 = e0)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (323), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (476) all_0_15_15 = e1
% 264.81/206.81 |
% 264.81/206.81 | Combining equations (476,472) yields a new equation:
% 264.81/206.81 | (718) e2 = e1
% 264.81/206.81 |
% 264.81/206.81 | Equations (718) can reduce 329 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (482) ~ (all_0_15_15 = e1)
% 264.81/206.81 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 264.81/206.81 |
% 264.81/206.81 | Equations (472) can reduce 482 to:
% 264.81/206.81 | (329) ~ (e2 = e1)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (126), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (950) all_0_25_25 = e1
% 264.81/206.81 |
% 264.81/206.81 | Equations (950) can reduce 98 to:
% 264.81/206.81 | (1176) ~ (all_0_35_35 = e1)
% 264.81/206.81 |
% 264.81/206.81 | Simplifying 1176 yields:
% 264.81/206.81 | (1177) ~ (all_0_35_35 = e1)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (206), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (483) all_0_15_15 = e0
% 264.81/206.81 |
% 264.81/206.81 | Combining equations (472,483) yields a new equation:
% 264.81/206.81 | (836) e2 = e0
% 264.81/206.81 |
% 264.81/206.81 | Simplifying 836 yields:
% 264.81/206.81 | (551) e2 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (551) can reduce 347 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (463) ~ (all_0_15_15 = e0)
% 264.81/206.81 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (472) can reduce 463 to:
% 264.81/206.81 | (347) ~ (e2 = e0)
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (122), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1161) all_0_35_35 = e4
% 264.81/206.81 |
% 264.81/206.81 | From (1161) and (2803) follows:
% 264.81/206.81 | (11357) op(e4, e4) = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (10360), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (11358) ~ (op(e4, e4) = e0)
% 264.81/206.81 |
% 264.81/206.81 | Using (11357) and (11358) yields:
% 264.81/206.81 | (821) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (11357) op(e4, e4) = e0
% 264.81/206.81 | (551) e2 = e0
% 264.81/206.81 |
% 264.81/206.81 | Equations (551) can reduce 347 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (514) ~ (all_0_35_35 = e4)
% 264.81/206.81 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (1181), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (814) all_0_35_35 = e3
% 264.81/206.81 |
% 264.81/206.81 | Equations (814) can reduce 570 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (570) ~ (all_0_35_35 = e3)
% 264.81/206.81 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (1185), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (797) all_0_35_35 = e2
% 264.81/206.81 |
% 264.81/206.81 | Equations (797) can reduce 742 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (742) ~ (all_0_35_35 = e2)
% 264.81/206.81 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 264.81/206.81 |
% 264.81/206.81 +-Applying beta-rule and splitting (1195), into two cases.
% 264.81/206.81 |-Branch one:
% 264.81/206.81 | (1196) all_0_35_35 = e1
% 264.81/206.81 |
% 264.81/206.81 | Equations (1196) can reduce 1177 to:
% 264.81/206.81 | (366) $false
% 264.81/206.81 |
% 264.81/206.81 |-The branch is then unsatisfiable
% 264.81/206.81 |-Branch two:
% 264.81/206.81 | (1177) ~ (all_0_35_35 = e1)
% 264.81/206.82 | (1203) all_0_35_35 = e0
% 264.81/206.82 |
% 264.81/206.82 | Equations (1203) can reduce 385 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (946) ~ (all_0_25_25 = e1)
% 264.81/206.82 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (29), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (476) all_0_15_15 = e1
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (476,472) yields a new equation:
% 264.81/206.82 | (718) e2 = e1
% 264.81/206.82 |
% 264.81/206.82 | Equations (718) can reduce 329 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (482) ~ (all_0_15_15 = e1)
% 264.81/206.82 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (937), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (1175) all_0_20_20 = e1
% 264.81/206.82 |
% 264.81/206.82 | Equations (1175) can reduce 1409 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (1409) ~ (all_0_20_20 = e1)
% 264.81/206.82 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (1656), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (950) all_0_25_25 = e1
% 264.81/206.82 |
% 264.81/206.82 | Equations (950) can reduce 946 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (946) ~ (all_0_25_25 = e1)
% 264.81/206.82 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (1676), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (787) all_0_30_30 = e1
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (759,787) yields a new equation:
% 264.81/206.82 | (933) e3 = e1
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 933 yields:
% 264.81/206.82 | (706) e3 = e1
% 264.81/206.82 |
% 264.81/206.82 | Equations (706) can reduce 318 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (422) ~ (all_0_30_30 = e1)
% 264.81/206.82 | (1196) all_0_35_35 = e1
% 264.81/206.82 |
% 264.81/206.82 | From (1196) and (2804) follows:
% 264.81/206.82 | (4267) op(e1, e4) = e4
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (2806), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (4268) ~ (op(e1, e4) = e4)
% 264.81/206.82 |
% 264.81/206.82 | Using (4267) and (4268) yields:
% 264.81/206.82 | (821) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (4267) op(e1, e4) = e4
% 264.81/206.82 | (768) all_0_30_30 = e4
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (768,759) yields a new equation:
% 264.81/206.82 | (690) e4 = e3
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 690 yields:
% 264.81/206.82 | (691) e4 = e3
% 264.81/206.82 |
% 264.81/206.82 | Equations (691) can reduce 277 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (493) ~ (all_0_22_22 = e2)
% 264.81/206.82 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (920), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (999) all_0_22_22 = e1
% 264.81/206.82 |
% 264.81/206.82 | Equations (999) can reduce 1018 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (1018) ~ (all_0_22_22 = e1)
% 264.81/206.82 | (847) all_0_22_22 = e0
% 264.81/206.82 |
% 264.81/206.82 | Equations (847) can reduce 826 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (898) ~ (all_0_29_29 = e3)
% 264.81/206.82 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (5409), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (4103) all_0_29_29 = e2
% 264.81/206.82 |
% 264.81/206.82 | Equations (4103) can reduce 651 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (651) ~ (all_0_29_29 = e2)
% 264.81/206.82 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (5413), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (945) all_0_29_29 = e1
% 264.81/206.82 |
% 264.81/206.82 | Equations (945) can reduce 952 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (952) ~ (all_0_29_29 = e1)
% 264.81/206.82 | (2537) all_0_29_29 = e0
% 264.81/206.82 |
% 264.81/206.82 | Equations (2537) can reduce 383 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (943) ~ (all_0_24_24 = e1)
% 264.81/206.82 | (1069) all_0_24_24 = e0
% 264.81/206.82 |
% 264.81/206.82 | Equations (1069) can reduce 382 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (568) ~ (all_0_30_30 = e3)
% 264.81/206.82 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (230), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (927) all_0_19_19 = e3
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (927,711) yields a new equation:
% 264.81/206.82 | (691) e4 = e3
% 264.81/206.82 |
% 264.81/206.82 | Equations (691) can reduce 277 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (562) ~ (all_0_19_19 = e3)
% 264.81/206.82 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 264.81/206.82 |
% 264.81/206.82 | Equations (711) can reduce 562 to:
% 264.81/206.82 | (277) ~ (e4 = e3)
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (762), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (763) all_0_31_31 = e3
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (1446,763) yields a new equation:
% 264.81/206.82 | (690) e4 = e3
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 690 yields:
% 264.81/206.82 | (691) e4 = e3
% 264.81/206.82 |
% 264.81/206.82 | Equations (691) can reduce 277 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (510) ~ (all_0_31_31 = e3)
% 264.81/206.82 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (767), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (772) all_0_32_32 = e3
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (1626,772) yields a new equation:
% 264.81/206.82 | (980) e3 = e0
% 264.81/206.82 |
% 264.81/206.82 | Equations (980) can reduce 88 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (1089) ~ (all_0_32_32 = e3)
% 264.81/206.82 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (1090), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (410) all_0_33_33 = e3
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (410,418) yields a new equation:
% 264.81/206.82 | (933) e3 = e1
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 933 yields:
% 264.81/206.82 | (706) e3 = e1
% 264.81/206.82 |
% 264.81/206.82 | Equations (706) can reduce 318 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (403) ~ (all_0_33_33 = e3)
% 264.81/206.82 | (1027) all_0_34_34 = e3
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (1110,1027) yields a new equation:
% 264.81/206.82 | (764) e3 = e2
% 264.81/206.82 |
% 264.81/206.82 | Equations (764) can reduce 56 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (1946) ~ (all_0_32_32 = e0)
% 264.81/206.82 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (1947), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (1254) all_0_33_33 = e0
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (418,1254) yields a new equation:
% 264.81/206.82 | (960) e1 = e0
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 960 yields:
% 264.81/206.82 | (961) e1 = e0
% 264.81/206.82 |
% 264.81/206.82 | Equations (961) can reduce 37 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (399) ~ (all_0_33_33 = e0)
% 264.81/206.82 | (1717) all_0_34_34 = e0
% 264.81/206.82 |
% 264.81/206.82 | Equations (1717) can reduce 384 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (584) ~ (all_0_31_31 = e4)
% 264.81/206.82 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (1449), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (1229) all_0_32_32 = e4
% 264.81/206.82 |
% 264.81/206.82 | Equations (1229) can reduce 727 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (727) ~ (all_0_32_32 = e4)
% 264.81/206.82 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (1476), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (406) all_0_33_33 = e4
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (406,418) yields a new equation:
% 264.81/206.82 | (955) e4 = e1
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 955 yields:
% 264.81/206.82 | (480) e4 = e1
% 264.81/206.82 |
% 264.81/206.82 | Equations (480) can reduce 65 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (405) ~ (all_0_33_33 = e4)
% 264.81/206.82 | (723) all_0_34_34 = e4
% 264.81/206.82 |
% 264.81/206.82 | Equations (723) can reduce 1395 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (714) ~ (all_0_19_19 = e4)
% 264.81/206.82 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (166), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (464) all_0_15_15 = e4
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (464,472) yields a new equation:
% 264.81/206.82 | (1111) e4 = e2
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 1111 yields:
% 264.81/206.82 | (539) e4 = e2
% 264.81/206.82 |
% 264.81/206.82 | Equations (539) can reduce 19 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (460) ~ (all_0_15_15 = e4)
% 264.81/206.82 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.81/206.82 |
% 264.81/206.82 | Equations (472) can reduce 460 to:
% 264.81/206.82 | (444) ~ (e4 = e2)
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 444 yields:
% 264.81/206.82 | (19) ~ (e4 = e2)
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (225), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (711) all_0_19_19 = e4
% 264.81/206.82 |
% 264.81/206.82 | Equations (711) can reduce 714 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (714) ~ (all_0_19_19 = e4)
% 264.81/206.82 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (122), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (1161) all_0_35_35 = e4
% 264.81/206.82 |
% 264.81/206.82 | Equations (1161) can reduce 249 to:
% 264.81/206.82 | (496) ~ (all_0_20_20 = e4)
% 264.81/206.82 |
% 264.81/206.82 | Equations (1161) can reduce 98 to:
% 264.81/206.82 | (501) ~ (all_0_25_25 = e4)
% 264.81/206.82 |
% 264.81/206.82 | Equations (1161) can reduce 96 to:
% 264.81/206.82 | (509) ~ (all_0_30_30 = e4)
% 264.81/206.82 |
% 264.81/206.82 | Equations (1161) can reduce 273 to:
% 264.81/206.82 | (585) ~ (all_0_36_36 = e4)
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 585 yields:
% 264.81/206.82 | (586) ~ (all_0_36_36 = e4)
% 264.81/206.82 |
% 264.81/206.82 | Equations (1161) can reduce 173 to:
% 264.81/206.82 | (1142) ~ (all_0_38_38 = e4)
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 1142 yields:
% 264.81/206.82 | (1143) ~ (all_0_38_38 = e4)
% 264.81/206.82 |
% 264.81/206.82 | From (1161) and (332) follows:
% 264.81/206.82 | (11499) op(all_0_19_19, e4) = e0
% 264.81/206.82 |
% 264.81/206.82 | Instantiating formula (97) with e1, e4, e0, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 264.81/206.82 | (4342) all_0_30_30 = e0 | ~ (op(e1, e4) = e0)
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (231), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (1453) all_0_20_20 = e4
% 264.81/206.82 |
% 264.81/206.82 | Equations (1453) can reduce 496 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (496) ~ (all_0_20_20 = e4)
% 264.81/206.82 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (111), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (468) all_0_15_15 = e3
% 264.81/206.82 |
% 264.81/206.82 | Combining equations (468,472) yields a new equation:
% 264.81/206.82 | (3874) e3 = e2
% 264.81/206.82 |
% 264.81/206.82 | Simplifying 3874 yields:
% 264.81/206.82 | (764) e3 = e2
% 264.81/206.82 |
% 264.81/206.82 | Equations (764) can reduce 56 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (433) ~ (all_0_15_15 = e3)
% 264.81/206.82 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (358), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (1165) all_0_38_38 = e4
% 264.81/206.82 |
% 264.81/206.82 | Equations (1165) can reduce 1143 to:
% 264.81/206.82 | (366) $false
% 264.81/206.82 |
% 264.81/206.82 |-The branch is then unsatisfiable
% 264.81/206.82 |-Branch two:
% 264.81/206.82 | (1143) ~ (all_0_38_38 = e4)
% 264.81/206.82 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 264.81/206.82 |
% 264.81/206.82 +-Applying beta-rule and splitting (163), into two cases.
% 264.81/206.82 |-Branch one:
% 264.81/206.82 | (701) all_0_16_16 = e4
% 264.81/206.82 |
% 264.81/206.82 | Equations (701) can reduce 169 to:
% 264.81/206.82 | (11516) ~ (all_0_17_17 = e4)
% 264.81/206.82 |
% 264.81/206.83 | Simplifying 11516 yields:
% 264.81/206.83 | (869) ~ (all_0_17_17 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (701) can reduce 9 to:
% 264.81/206.83 | (1493) ~ (all_0_18_18 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 1493 yields:
% 264.81/206.83 | (1046) ~ (all_0_18_18 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (701) can reduce 10 to:
% 264.81/206.83 | (583) ~ (all_0_31_31 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 583 yields:
% 264.81/206.83 | (584) ~ (all_0_31_31 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (701) can reduce 64 to:
% 264.81/206.83 | (585) ~ (all_0_36_36 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 585 yields:
% 264.81/206.83 | (586) ~ (all_0_36_36 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (701) can reduce 664 to:
% 264.81/206.83 | (19) ~ (e4 = e2)
% 264.81/206.83 |
% 264.81/206.83 | From (701) and (124) follows:
% 264.81/206.83 | (6524) op(e4, all_0_20_20) = e3
% 264.81/206.83 |
% 264.81/206.83 | From (701) and (40) follows:
% 264.81/206.83 | (6525) op(all_0_20_20, e4) = e4
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (36), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (887) all_0_18_18 = e4
% 264.81/206.83 |
% 264.81/206.83 | Equations (887) can reduce 1046 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (1046) ~ (all_0_18_18 = e4)
% 264.81/206.83 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (327), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (768) all_0_30_30 = e4
% 264.81/206.83 |
% 264.81/206.83 | Equations (768) can reduce 509 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (509) ~ (all_0_30_30 = e4)
% 264.81/206.83 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (1437), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (1446) all_0_31_31 = e4
% 264.81/206.83 |
% 264.81/206.83 | Equations (1446) can reduce 584 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (584) ~ (all_0_31_31 = e4)
% 264.81/206.83 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (1449), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (1229) all_0_32_32 = e4
% 264.81/206.83 |
% 264.81/206.83 | Equations (1229) can reduce 727 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (727) ~ (all_0_32_32 = e4)
% 264.81/206.83 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (1476), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (406) all_0_33_33 = e4
% 264.81/206.83 |
% 264.81/206.83 | Combining equations (406,418) yields a new equation:
% 264.81/206.83 | (955) e4 = e1
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 955 yields:
% 264.81/206.83 | (480) e4 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (480) can reduce 65 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (405) ~ (all_0_33_33 = e4)
% 264.81/206.83 | (723) all_0_34_34 = e4
% 264.81/206.83 |
% 264.81/206.83 | Equations (723) can reduce 280 to:
% 264.81/206.83 | (714) ~ (all_0_19_19 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (723) can reduce 15 to:
% 264.81/206.83 | (509) ~ (all_0_30_30 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (723) can reduce 199 to:
% 264.81/206.83 | (727) ~ (all_0_32_32 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (723) can reduce 426 to:
% 264.81/206.83 | (65) ~ (e4 = e1)
% 264.81/206.83 |
% 264.81/206.83 | From (723) and (181) follows:
% 264.81/206.83 | (730) op(e4, all_0_38_38) = e0
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (1051), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (1515) all_0_23_23 = e4
% 264.81/206.83 |
% 264.81/206.83 | Equations (1515) can reduce 110 to:
% 264.81/206.83 | (1046) ~ (all_0_18_18 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (1515) can reduce 272 to:
% 264.81/206.83 | (496) ~ (all_0_20_20 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (1515) can reduce 346 to:
% 264.81/206.83 | (576) ~ (all_0_22_22 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (1515) can reduce 118 to:
% 264.81/206.83 | (579) ~ (all_0_24_24 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 579 yields:
% 264.81/206.83 | (580) ~ (all_0_24_24 = e4)
% 264.81/206.83 |
% 264.81/206.83 | Equations (1515) can reduce 420 to:
% 264.81/206.83 | (65) ~ (e4 = e1)
% 264.81/206.83 |
% 264.81/206.83 | From (1515) and (301) follows:
% 264.81/206.83 | (11561) op(all_0_31_31, e4) = e3
% 264.81/206.83 |
% 264.81/206.83 | Instantiating formula (97) with e1, e4, e4, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 264.81/206.83 | (2806) all_0_30_30 = e4 | ~ (op(e1, e4) = e4)
% 264.81/206.83 |
% 264.81/206.83 | Instantiating formula (97) with e2, e4, e3, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 264.81/206.83 | (7465) all_0_25_25 = e3 | ~ (op(e2, e4) = e3)
% 264.81/206.83 |
% 264.81/206.83 | Instantiating formula (97) with e4, e0, e3, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 264.81/206.83 | (6529) all_0_19_19 = e3 | ~ (op(e4, e0) = e3)
% 264.81/206.83 |
% 264.81/206.83 | Instantiating formula (97) with e4, e2, e0, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 264.81/206.83 | (735) all_0_17_17 = e0 | ~ (op(e4, e2) = e0)
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (154), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (685) all_0_24_24 = e4
% 264.81/206.83 |
% 264.81/206.83 | Equations (685) can reduce 580 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (580) ~ (all_0_24_24 = e4)
% 264.81/206.83 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (309), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (1274) all_0_18_18 = e2
% 264.81/206.83 |
% 264.81/206.83 | Equations (1274) can reduce 666 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (666) ~ (all_0_18_18 = e2)
% 264.81/206.83 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (228), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (921) all_0_16_16 = e1
% 264.81/206.83 |
% 264.81/206.83 | Combining equations (921,701) yields a new equation:
% 264.81/206.83 | (480) e4 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (480) can reduce 65 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (985) ~ (all_0_16_16 = e1)
% 264.81/206.83 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (701) can reduce 985 to:
% 264.81/206.83 | (65) ~ (e4 = e1)
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (323), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (476) all_0_15_15 = e1
% 264.81/206.83 |
% 264.81/206.83 | Combining equations (476,472) yields a new equation:
% 264.81/206.83 | (718) e2 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (718) can reduce 329 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (482) ~ (all_0_15_15 = e1)
% 264.81/206.83 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (135), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (835) all_0_20_20 = e0
% 264.81/206.83 |
% 264.81/206.83 | Equations (835) can reduce 211 to:
% 264.81/206.83 | (825) ~ (all_0_22_22 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 825 yields:
% 264.81/206.83 | (826) ~ (all_0_22_22 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Equations (835) can reduce 167 to:
% 264.81/206.83 | (9686) ~ (all_0_24_24 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 9686 yields:
% 264.81/206.83 | (382) ~ (all_0_24_24 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Equations (835) can reduce 116 to:
% 264.81/206.83 | (5613) ~ (all_0_30_30 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 5613 yields:
% 264.81/206.83 | (1878) ~ (all_0_30_30 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Equations (835) can reduce 496 to:
% 264.81/206.83 | (389) ~ (e4 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 389 yields:
% 264.81/206.83 | (287) ~ (e4 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Equations (835) can reduce 1114 to:
% 264.81/206.83 | (393) ~ (e2 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 393 yields:
% 264.81/206.83 | (347) ~ (e2 = e0)
% 264.81/206.83 |
% 264.81/206.83 | From (835) and (6524) follows:
% 264.81/206.83 | (7131) op(e4, e0) = e3
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (6529), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (7132) ~ (op(e4, e0) = e3)
% 264.81/206.83 |
% 264.81/206.83 | Using (7131) and (7132) yields:
% 264.81/206.83 | (821) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (7131) op(e4, e0) = e3
% 264.81/206.83 | (927) all_0_19_19 = e3
% 264.81/206.83 |
% 264.81/206.83 | Equations (927) can reduce 337 to:
% 264.81/206.83 | (560) ~ (all_0_18_18 = e3)
% 264.81/206.83 |
% 264.81/206.83 | Equations (927) can reduce 87 to:
% 264.81/206.83 | (3506) ~ (all_0_24_24 = e3)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 3506 yields:
% 264.81/206.83 | (963) ~ (all_0_24_24 = e3)
% 264.81/206.83 |
% 264.81/206.83 | Equations (927) can reduce 714 to:
% 264.81/206.83 | (695) ~ (e4 = e3)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 695 yields:
% 264.81/206.83 | (277) ~ (e4 = e3)
% 264.81/206.83 |
% 264.81/206.83 | Equations (927) can reduce 381 to:
% 264.81/206.83 | (88) ~ (e3 = e0)
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (26), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (887) all_0_18_18 = e4
% 264.81/206.83 |
% 264.81/206.83 | Equations (887) can reduce 1046 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (1046) ~ (all_0_18_18 = e4)
% 264.81/206.83 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (709), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (921) all_0_16_16 = e1
% 264.81/206.83 |
% 264.81/206.83 | Combining equations (921,701) yields a new equation:
% 264.81/206.83 | (480) e4 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (480) can reduce 65 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (985) ~ (all_0_16_16 = e1)
% 264.81/206.83 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (10315), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (11616) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)
% 264.81/206.83 |
% 264.81/206.83 | Applying alpha-rule on (11616) yields:
% 264.81/206.83 | (10607) all_0_11_11 = all_0_17_17
% 264.81/206.83 | (558) ~ (all_0_17_17 = e3)
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (1373), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (1498) all_0_17_17 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (1498) can reduce 184 to:
% 264.81/206.83 | (3383) ~ (all_0_22_22 = e1)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 3383 yields:
% 264.81/206.83 | (1018) ~ (all_0_22_22 = e1)
% 264.81/206.83 |
% 264.81/206.83 | Equations (1498) can reduce 132 to:
% 264.81/206.83 | (2561) ~ (all_0_37_37 = e1)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 2561 yields:
% 264.81/206.83 | (2562) ~ (all_0_37_37 = e1)
% 264.81/206.83 |
% 264.81/206.83 | Equations (1498) can reduce 869 to:
% 264.81/206.83 | (477) ~ (e4 = e1)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 477 yields:
% 264.81/206.83 | (65) ~ (e4 = e1)
% 264.81/206.83 |
% 264.81/206.83 | Equations (1498) can reduce 558 to:
% 264.81/206.83 | (429) ~ (e3 = e1)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 429 yields:
% 264.81/206.83 | (318) ~ (e3 = e1)
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (16), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (1196) all_0_35_35 = e1
% 264.81/206.83 |
% 264.81/206.83 | Combining equations (1161,1196) yields a new equation:
% 264.81/206.83 | (955) e4 = e1
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 955 yields:
% 264.81/206.83 | (480) e4 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (480) can reduce 65 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (1177) ~ (all_0_35_35 = e1)
% 264.81/206.83 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (1161) can reduce 1177 to:
% 264.81/206.83 | (65) ~ (e4 = e1)
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (308), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (1175) all_0_20_20 = e1
% 264.81/206.83 |
% 264.81/206.83 | Combining equations (835,1175) yields a new equation:
% 264.81/206.83 | (961) e1 = e0
% 264.81/206.83 |
% 264.81/206.83 | Equations (961) can reduce 37 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (1409) ~ (all_0_20_20 = e1)
% 264.81/206.83 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (835) can reduce 1409 to:
% 264.81/206.83 | (395) ~ (e1 = e0)
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 395 yields:
% 264.81/206.83 | (37) ~ (e1 = e0)
% 264.81/206.83 |
% 264.81/206.83 +-Applying beta-rule and splitting (4682), into two cases.
% 264.81/206.83 |-Branch one:
% 264.81/206.83 | (526) all_0_21_21 = e1
% 264.81/206.83 |
% 264.81/206.83 | Combining equations (453,526) yields a new equation:
% 264.81/206.83 | (933) e3 = e1
% 264.81/206.83 |
% 264.81/206.83 | Simplifying 933 yields:
% 264.81/206.83 | (706) e3 = e1
% 264.81/206.83 |
% 264.81/206.83 | Equations (706) can reduce 318 to:
% 264.81/206.83 | (366) $false
% 264.81/206.83 |
% 264.81/206.83 |-The branch is then unsatisfiable
% 264.81/206.83 |-Branch two:
% 264.81/206.83 | (363) ~ (all_0_21_21 = e1)
% 264.81/206.83 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 264.81/206.83 |
% 264.81/206.84 +-Applying beta-rule and splitting (4688), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (999) all_0_22_22 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (999) can reduce 1018 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (1018) ~ (all_0_22_22 = e1)
% 264.81/206.84 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (334), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (483) all_0_15_15 = e0
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (483,472) yields a new equation:
% 264.81/206.84 | (551) e2 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (551) can reduce 347 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (463) ~ (all_0_15_15 = e0)
% 264.81/206.84 | (2584) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (472) can reduce 463 to:
% 264.81/206.84 | (347) ~ (e2 = e0)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (222), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (823) all_0_17_17 = e0
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (823,1498) yields a new equation:
% 264.81/206.84 | (961) e1 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (961) can reduce 37 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (2422) ~ (all_0_17_17 = e0)
% 264.81/206.84 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (5033), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (3952) all_0_23_23 = e1
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (3952,1515) yields a new equation:
% 264.81/206.84 | (480) e4 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (480) can reduce 65 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (420) ~ (all_0_23_23 = e1)
% 264.81/206.84 | (940) all_0_24_24 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (940) can reduce 85 to:
% 264.81/206.84 | (3164) ~ (all_0_29_29 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 3164 yields:
% 264.81/206.84 | (952) ~ (all_0_29_29 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Equations (940) can reduce 382 to:
% 264.81/206.84 | (37) ~ (e1 = e0)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (51), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (736) all_0_20_20 = e2
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (835,736) yields a new equation:
% 264.81/206.84 | (551) e2 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (551) can reduce 347 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (1114) ~ (all_0_20_20 = e2)
% 264.81/206.84 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 264.81/206.84 |
% 264.81/206.84 | Equations (835) can reduce 1114 to:
% 264.81/206.84 | (393) ~ (e2 = e0)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 393 yields:
% 264.81/206.84 | (347) ~ (e2 = e0)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (1199), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (1015) all_0_36_36 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (1015) can reduce 170 to:
% 264.81/206.84 | (1008) ~ (all_0_26_26 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Equations (1015) can reduce 586 to:
% 264.81/206.84 | (477) ~ (e4 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 477 yields:
% 264.81/206.84 | (65) ~ (e4 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Equations (1015) can reduce 516 to:
% 264.81/206.84 | (429) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 429 yields:
% 264.81/206.84 | (318) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (126), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (950) all_0_25_25 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (950) can reduce 58 to:
% 264.81/206.84 | (3387) ~ (all_0_30_30 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 3387 yields:
% 264.81/206.84 | (422) ~ (all_0_30_30 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Equations (950) can reduce 646 to:
% 264.81/206.84 | (1002) ~ (e2 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 1002 yields:
% 264.81/206.84 | (329) ~ (e2 = e1)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (7536), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (903) all_0_20_20 = e3
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (835,903) yields a new equation:
% 264.81/206.84 | (980) e3 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (980) can reduce 88 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (564) ~ (all_0_20_20 = e3)
% 264.81/206.84 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (2515), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (847) all_0_22_22 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (847) can reduce 826 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (826) ~ (all_0_22_22 = e0)
% 264.81/206.84 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (3101), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (546) all_0_27_27 = e0
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (435,546) yields a new equation:
% 264.81/206.84 | (842) e4 = e0
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 842 yields:
% 264.81/206.84 | (490) e4 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (490) can reduce 287 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (434) ~ (all_0_27_27 = e0)
% 264.81/206.84 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (3107), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (1626) all_0_32_32 = e0
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (215), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (747) all_0_30_30 = e2
% 264.81/206.84 |
% 264.81/206.84 | Equations (747) can reduce 740 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (740) ~ (all_0_30_30 = e2)
% 264.81/206.84 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (155), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (759) all_0_30_30 = e3
% 264.81/206.84 |
% 264.81/206.84 | Equations (759) can reduce 422 to:
% 264.81/206.84 | (318) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (232), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (1970) all_0_17_17 = e3
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (1970,1498) yields a new equation:
% 264.81/206.84 | (933) e3 = e1
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 933 yields:
% 264.81/206.84 | (706) e3 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (706) can reduce 318 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (558) ~ (all_0_17_17 = e3)
% 264.81/206.84 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 264.81/206.84 |
% 264.81/206.84 | Equations (1498) can reduce 558 to:
% 264.81/206.84 | (429) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 429 yields:
% 264.81/206.84 | (318) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (750), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (751) all_0_31_31 = e2
% 264.81/206.84 |
% 264.81/206.84 | From (751) and (11561) follows:
% 264.81/206.84 | (7783) op(e2, e4) = e3
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (168), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (2438) all_0_25_25 = e3
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (950,2438) yields a new equation:
% 264.81/206.84 | (706) e3 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (706) can reduce 318 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (566) ~ (all_0_25_25 = e3)
% 264.81/206.84 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 264.81/206.84 |
% 264.81/206.84 | Equations (950) can reduce 566 to:
% 264.81/206.84 | (429) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 429 yields:
% 264.81/206.84 | (318) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (7465), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (7790) ~ (op(e2, e4) = e3)
% 264.81/206.84 |
% 264.81/206.84 | Using (7783) and (7790) yields:
% 264.81/206.84 | (821) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (7783) op(e2, e4) = e3
% 264.81/206.84 | (2438) all_0_25_25 = e3
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (950,2438) yields a new equation:
% 264.81/206.84 | (706) e3 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (706) can reduce 318 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (1099) ~ (all_0_31_31 = e2)
% 264.81/206.84 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (1100), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (1101) all_0_32_32 = e2
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (1626,1101) yields a new equation:
% 264.81/206.84 | (551) e2 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (551) can reduce 347 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (508) ~ (all_0_32_32 = e2)
% 264.81/206.84 | (1104) all_0_33_33 = e2 | all_0_34_34 = e2
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (1104), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (414) all_0_33_33 = e2
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (418,414) yields a new equation:
% 264.81/206.84 | (718) e2 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (718) can reduce 329 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (401) ~ (all_0_33_33 = e2)
% 264.81/206.84 | (1110) all_0_34_34 = e2
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (1110,723) yields a new equation:
% 264.81/206.84 | (539) e4 = e2
% 264.81/206.84 |
% 264.81/206.84 | Equations (539) can reduce 19 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (568) ~ (all_0_30_30 = e3)
% 264.81/206.84 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (168), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (2438) all_0_25_25 = e3
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (950,2438) yields a new equation:
% 264.81/206.84 | (706) e3 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (706) can reduce 318 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (566) ~ (all_0_25_25 = e3)
% 264.81/206.84 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 264.81/206.84 |
% 264.81/206.84 | Equations (950) can reduce 566 to:
% 264.81/206.84 | (429) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 429 yields:
% 264.81/206.84 | (318) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (232), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (1970) all_0_17_17 = e3
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (1498,1970) yields a new equation:
% 264.81/206.84 | (706) e3 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (706) can reduce 318 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (558) ~ (all_0_17_17 = e3)
% 264.81/206.84 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 264.81/206.84 |
% 264.81/206.84 | Equations (1498) can reduce 558 to:
% 264.81/206.84 | (429) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 429 yields:
% 264.81/206.84 | (318) ~ (e3 = e1)
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (8890), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (2438) all_0_25_25 = e3
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (950,2438) yields a new equation:
% 264.81/206.84 | (706) e3 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (706) can reduce 318 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (566) ~ (all_0_25_25 = e3)
% 264.81/206.84 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (8920), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (759) all_0_30_30 = e3
% 264.81/206.84 |
% 264.81/206.84 | Equations (759) can reduce 568 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (568) ~ (all_0_30_30 = e3)
% 264.81/206.84 | (814) all_0_35_35 = e3
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (1161,814) yields a new equation:
% 264.81/206.84 | (690) e4 = e3
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 690 yields:
% 264.81/206.84 | (691) e4 = e3
% 264.81/206.84 |
% 264.81/206.84 | Equations (691) can reduce 277 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (1946) ~ (all_0_32_32 = e0)
% 264.81/206.84 | (3111) all_0_37_37 = e0
% 264.81/206.84 |
% 264.81/206.84 | Equations (3111) can reduce 387 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (946) ~ (all_0_25_25 = e1)
% 264.81/206.84 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (2009), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (1005) all_0_26_26 = e1
% 264.81/206.84 |
% 264.81/206.84 | Equations (1005) can reduce 1008 to:
% 264.81/206.84 | (366) $false
% 264.81/206.84 |
% 264.81/206.84 |-The branch is then unsatisfiable
% 264.81/206.84 |-Branch two:
% 264.81/206.84 | (1008) ~ (all_0_26_26 = e1)
% 264.81/206.84 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.81/206.84 |
% 264.81/206.84 +-Applying beta-rule and splitting (2035), into two cases.
% 264.81/206.84 |-Branch one:
% 264.81/206.84 | (543) all_0_27_27 = e1
% 264.81/206.84 |
% 264.81/206.84 | Combining equations (435,543) yields a new equation:
% 264.81/206.84 | (955) e4 = e1
% 264.81/206.84 |
% 264.81/206.84 | Simplifying 955 yields:
% 264.81/206.84 | (480) e4 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (480) can reduce 65 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (402) ~ (all_0_27_27 = e1)
% 264.81/206.85 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (2041), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1041) all_0_28_28 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (1041) can reduce 421 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (421) ~ (all_0_28_28 = e1)
% 264.81/206.85 | (945) all_0_29_29 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (945) can reduce 952 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (1593) ~ (all_0_36_36 = e1)
% 264.81/206.85 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (2672), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1590) all_0_37_37 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (1590) can reduce 2562 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (2562) ~ (all_0_37_37 = e1)
% 264.81/206.85 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (2676), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1211) all_0_38_38 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (1211) can reduce 428 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (428) ~ (all_0_38_38 = e1)
% 264.81/206.85 | (377) all_0_39_39 = e1
% 264.81/206.85 |
% 264.81/206.85 | Combining equations (377,380) yields a new equation:
% 264.81/206.85 | (960) e1 = e0
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 960 yields:
% 264.81/206.85 | (961) e1 = e0
% 264.81/206.85 |
% 264.81/206.85 | Equations (961) can reduce 37 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (1501) ~ (all_0_17_17 = e1)
% 264.81/206.85 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (1047), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1134) all_0_18_18 = e3
% 264.81/206.85 |
% 264.81/206.85 | Equations (1134) can reduce 560 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (560) ~ (all_0_18_18 = e3)
% 264.81/206.85 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (1270), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1274) all_0_18_18 = e2
% 264.81/206.85 |
% 264.81/206.85 | Equations (1274) can reduce 666 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (666) ~ (all_0_18_18 = e2)
% 264.81/206.85 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (1277), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1278) all_0_18_18 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (1278) can reduce 419 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (419) ~ (all_0_18_18 = e1)
% 264.81/206.85 | (1153) all_0_18_18 = e0
% 264.81/206.85 |
% 264.81/206.85 | Equations (1153) can reduce 419 to:
% 264.81/206.85 | (395) ~ (e1 = e0)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 395 yields:
% 264.81/206.85 | (37) ~ (e1 = e0)
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (1681), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1278) all_0_18_18 = e1
% 264.81/206.85 |
% 264.81/206.85 | Combining equations (1278,1153) yields a new equation:
% 264.81/206.85 | (960) e1 = e0
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 960 yields:
% 264.81/206.85 | (961) e1 = e0
% 264.81/206.85 |
% 264.81/206.85 | Equations (961) can reduce 37 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (419) ~ (all_0_18_18 = e1)
% 264.81/206.85 | (716) all_0_19_19 = e1
% 264.81/206.85 |
% 264.81/206.85 | Combining equations (716,927) yields a new equation:
% 264.81/206.85 | (706) e3 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (706) can reduce 318 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (11833) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 264.81/206.85 |
% 264.81/206.85 | Applying alpha-rule on (11833) yields:
% 264.81/206.85 | (10607) all_0_11_11 = all_0_17_17
% 264.81/206.85 | (11835) ( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (1047), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1134) all_0_18_18 = e3
% 264.81/206.85 |
% 264.81/206.85 | Equations (1134) can reduce 560 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (560) ~ (all_0_18_18 = e3)
% 264.81/206.85 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (1373), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1498) all_0_17_17 = e1
% 264.81/206.85 |
% 264.81/206.85 | Combining equations (1498,10607) yields a new equation:
% 264.81/206.85 | (1292) all_0_11_11 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (1498) can reduce 74 to:
% 264.81/206.85 | (2559) ~ (all_0_18_18 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 2559 yields:
% 264.81/206.85 | (419) ~ (all_0_18_18 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Equations (1498) can reduce 184 to:
% 264.81/206.85 | (3383) ~ (all_0_22_22 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 3383 yields:
% 264.81/206.85 | (1018) ~ (all_0_22_22 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Equations (1498) can reduce 286 to:
% 264.81/206.85 | (4691) ~ (all_0_32_32 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 4691 yields:
% 264.81/206.85 | (424) ~ (all_0_32_32 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Equations (1498) can reduce 132 to:
% 264.81/206.85 | (2561) ~ (all_0_37_37 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 2561 yields:
% 264.81/206.85 | (2562) ~ (all_0_37_37 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Equations (1498) can reduce 869 to:
% 264.81/206.85 | (477) ~ (e4 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 477 yields:
% 264.81/206.85 | (65) ~ (e4 = e1)
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (222), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (823) all_0_17_17 = e0
% 264.81/206.85 |
% 264.81/206.85 | Combining equations (823,1498) yields a new equation:
% 264.81/206.85 | (961) e1 = e0
% 264.81/206.85 |
% 264.81/206.85 | Equations (961) can reduce 37 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (2422) ~ (all_0_17_17 = e0)
% 264.81/206.85 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (153), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (831) all_0_22_22 = e4
% 264.81/206.85 |
% 264.81/206.85 | Equations (831) can reduce 576 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (576) ~ (all_0_22_22 = e4)
% 264.81/206.85 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (2515), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (847) all_0_22_22 = e0
% 264.81/206.85 |
% 264.81/206.85 | Equations (847) can reduce 826 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (826) ~ (all_0_22_22 = e0)
% 264.81/206.85 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (834), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (857) all_0_22_22 = e3
% 264.81/206.85 |
% 264.81/206.85 | Equations (857) can reduce 774 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (774) ~ (all_0_22_22 = e3)
% 264.81/206.85 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (860), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (917) all_0_22_22 = e2
% 264.81/206.85 |
% 264.81/206.85 | Equations (917) can reduce 268 to:
% 264.81/206.85 | (667) ~ (all_0_24_24 = e2)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 667 yields:
% 264.81/206.85 | (668) ~ (all_0_24_24 = e2)
% 264.81/206.85 |
% 264.81/206.85 | Equations (917) can reduce 63 to:
% 264.81/206.85 | (652) ~ (all_0_32_32 = e2)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 652 yields:
% 264.81/206.85 | (508) ~ (all_0_32_32 = e2)
% 264.81/206.85 |
% 264.81/206.85 | Equations (917) can reduce 202 to:
% 264.81/206.85 | (654) ~ (all_0_37_37 = e2)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 654 yields:
% 264.81/206.85 | (515) ~ (all_0_37_37 = e2)
% 264.81/206.85 |
% 264.81/206.85 | Equations (917) can reduce 576 to:
% 264.81/206.85 | (444) ~ (e4 = e2)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 444 yields:
% 264.81/206.85 | (19) ~ (e4 = e2)
% 264.81/206.85 |
% 264.81/206.85 | Equations (917) can reduce 1018 to:
% 264.81/206.85 | (329) ~ (e2 = e1)
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (215), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (747) all_0_30_30 = e2
% 264.81/206.85 |
% 264.81/206.85 | Equations (747) can reduce 740 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (740) ~ (all_0_30_30 = e2)
% 264.81/206.85 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (239), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (768) all_0_30_30 = e4
% 264.81/206.85 |
% 264.81/206.85 | Equations (768) can reduce 509 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (509) ~ (all_0_30_30 = e4)
% 264.81/206.85 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (16), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1196) all_0_35_35 = e1
% 264.81/206.85 |
% 264.81/206.85 | Combining equations (1161,1196) yields a new equation:
% 264.81/206.85 | (955) e4 = e1
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 955 yields:
% 264.81/206.85 | (480) e4 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (480) can reduce 65 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (1177) ~ (all_0_35_35 = e1)
% 264.81/206.85 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (29), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (476) all_0_15_15 = e1
% 264.81/206.85 |
% 264.81/206.85 | Combining equations (472,476) yields a new equation:
% 264.81/206.85 | (717) e2 = e1
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 717 yields:
% 264.81/206.85 | (718) e2 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (718) can reduce 329 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (482) ~ (all_0_15_15 = e1)
% 264.81/206.85 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (688), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (939) all_0_24_24 = e3
% 264.81/206.85 |
% 264.81/206.85 | Equations (939) can reduce 963 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (963) ~ (all_0_24_24 = e3)
% 264.81/206.85 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (968), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1393) all_0_24_24 = e2
% 264.81/206.85 |
% 264.81/206.85 | Equations (1393) can reduce 668 to:
% 264.81/206.85 | (366) $false
% 264.81/206.85 |
% 264.81/206.85 |-The branch is then unsatisfiable
% 264.81/206.85 |-Branch two:
% 264.81/206.85 | (668) ~ (all_0_24_24 = e2)
% 264.81/206.85 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (2760), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (940) all_0_24_24 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (940) can reduce 382 to:
% 264.81/206.85 | (37) ~ (e1 = e0)
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (771), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (759) all_0_30_30 = e3
% 264.81/206.85 |
% 264.81/206.85 | Equations (759) can reduce 58 to:
% 264.81/206.85 | (566) ~ (all_0_25_25 = e3)
% 264.81/206.85 |
% 264.81/206.85 | Equations (759) can reduce 186 to:
% 264.81/206.85 | (6619) ~ (all_0_32_32 = e3)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 6619 yields:
% 264.81/206.85 | (1089) ~ (all_0_32_32 = e3)
% 264.81/206.85 |
% 264.81/206.85 | Equations (759) can reduce 509 to:
% 264.81/206.85 | (695) ~ (e4 = e3)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 695 yields:
% 264.81/206.85 | (277) ~ (e4 = e3)
% 264.81/206.85 |
% 264.81/206.85 | Equations (759) can reduce 740 to:
% 264.81/206.85 | (56) ~ (e3 = e2)
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (1199), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (1015) all_0_36_36 = e1
% 264.81/206.85 |
% 264.81/206.85 | Equations (1015) can reduce 586 to:
% 264.81/206.85 | (477) ~ (e4 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 477 yields:
% 264.81/206.85 | (65) ~ (e4 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Equations (1015) can reduce 516 to:
% 264.81/206.85 | (429) ~ (e3 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Simplifying 429 yields:
% 264.81/206.85 | (318) ~ (e3 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Equations (1015) can reduce 386 to:
% 264.81/206.85 | (37) ~ (e1 = e0)
% 264.81/206.85 |
% 264.81/206.85 +-Applying beta-rule and splitting (10339), into two cases.
% 264.81/206.85 |-Branch one:
% 264.81/206.85 | (11104) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 264.81/206.85 |
% 264.81/206.85 | Applying alpha-rule on (11104) yields:
% 264.81/206.85 | (10607) all_0_11_11 = all_0_17_17
% 264.81/206.85 | (1501) ~ (all_0_17_17 = e1)
% 264.81/206.85 |
% 264.81/206.86 | Combining equations (10607,1292) yields a new equation:
% 264.81/206.86 | (11107) all_0_17_17 = e1
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 11107 yields:
% 264.81/206.86 | (1498) all_0_17_17 = e1
% 264.81/206.86 |
% 264.81/206.86 | Equations (1498) can reduce 1501 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (11928) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 264.81/206.86 |
% 264.81/206.86 | Applying alpha-rule on (11928) yields:
% 264.81/206.86 | (10607) all_0_11_11 = all_0_17_17
% 264.81/206.86 | (11930) ( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (10607,1292) yields a new equation:
% 264.81/206.86 | (11107) all_0_17_17 = e1
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 11107 yields:
% 264.81/206.86 | (1498) all_0_17_17 = e1
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (168), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (2438) all_0_25_25 = e3
% 264.81/206.86 |
% 264.81/206.86 | Equations (2438) can reduce 566 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (566) ~ (all_0_25_25 = e3)
% 264.81/206.86 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (126), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (950) all_0_25_25 = e1
% 264.81/206.86 |
% 264.81/206.86 | Equations (950) can reduce 128 to:
% 264.81/206.86 | (5348) ~ (all_0_26_26 = e1)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 5348 yields:
% 264.81/206.86 | (1008) ~ (all_0_26_26 = e1)
% 264.81/206.86 |
% 264.81/206.86 | Equations (950) can reduce 566 to:
% 264.81/206.86 | (429) ~ (e3 = e1)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 429 yields:
% 264.81/206.86 | (318) ~ (e3 = e1)
% 264.81/206.86 |
% 264.81/206.86 | Equations (950) can reduce 646 to:
% 264.81/206.86 | (1002) ~ (e2 = e1)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 1002 yields:
% 264.81/206.86 | (329) ~ (e2 = e1)
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (214), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (797) all_0_35_35 = e2
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (797,1161) yields a new equation:
% 264.81/206.86 | (539) e4 = e2
% 264.81/206.86 |
% 264.81/206.86 | Equations (539) can reduce 19 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (742) ~ (all_0_35_35 = e2)
% 264.81/206.86 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (800), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (801) all_0_36_36 = e2
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (1015,801) yields a new equation:
% 264.81/206.86 | (718) e2 = e1
% 264.81/206.86 |
% 264.81/206.86 | Equations (718) can reduce 329 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (756) ~ (all_0_36_36 = e2)
% 264.81/206.86 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (804), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (805) all_0_37_37 = e2
% 264.81/206.86 |
% 264.81/206.86 | Equations (805) can reduce 515 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (515) ~ (all_0_37_37 = e2)
% 264.81/206.86 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (261), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1229) all_0_32_32 = e4
% 264.81/206.86 |
% 264.81/206.86 | Equations (1229) can reduce 727 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (727) ~ (all_0_32_32 = e4)
% 264.81/206.86 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (1506), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (772) all_0_32_32 = e3
% 264.81/206.86 |
% 264.81/206.86 | Equations (772) can reduce 1089 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (1089) ~ (all_0_32_32 = e3)
% 264.81/206.86 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (1618), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1101) all_0_32_32 = e2
% 264.81/206.86 |
% 264.81/206.86 | Equations (1101) can reduce 508 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (508) ~ (all_0_32_32 = e2)
% 264.81/206.86 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (1622), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1587) all_0_32_32 = e1
% 264.81/206.86 |
% 264.81/206.86 | Equations (1587) can reduce 424 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (424) ~ (all_0_32_32 = e1)
% 264.81/206.86 | (1626) all_0_32_32 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (1626) can reduce 727 to:
% 264.81/206.86 | (389) ~ (e4 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 389 yields:
% 264.81/206.86 | (287) ~ (e4 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Equations (1626) can reduce 1089 to:
% 264.81/206.86 | (391) ~ (e3 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 391 yields:
% 264.81/206.86 | (88) ~ (e3 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Equations (1626) can reduce 508 to:
% 264.81/206.86 | (393) ~ (e2 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 393 yields:
% 264.81/206.86 | (347) ~ (e2 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Equations (1626) can reduce 424 to:
% 264.81/206.86 | (395) ~ (e1 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 395 yields:
% 264.81/206.86 | (37) ~ (e1 = e0)
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (808), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (809) all_0_38_38 = e2
% 264.81/206.86 |
% 264.81/206.86 | Equations (809) can reduce 388 to:
% 264.81/206.86 | (347) ~ (e2 = e0)
% 264.81/206.86 |
% 264.81/206.86 | From (809) and (730) follows:
% 264.81/206.86 | (813) op(e4, e2) = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (269), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1134) all_0_18_18 = e3
% 264.81/206.86 |
% 264.81/206.86 | Equations (1134) can reduce 560 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (560) ~ (all_0_18_18 = e3)
% 264.81/206.86 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (164), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (814) all_0_35_35 = e3
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (814,1161) yields a new equation:
% 264.81/206.86 | (691) e4 = e3
% 264.81/206.86 |
% 264.81/206.86 | Equations (691) can reduce 277 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (570) ~ (all_0_35_35 = e3)
% 264.81/206.86 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 264.81/206.86 |
% 264.81/206.86 | Equations (1161) can reduce 570 to:
% 264.81/206.86 | (277) ~ (e4 = e3)
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (1137), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (978) all_0_23_23 = e3
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (978,1515) yields a new equation:
% 264.81/206.86 | (691) e4 = e3
% 264.81/206.86 |
% 264.81/206.86 | Equations (691) can reduce 277 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (982) ~ (all_0_23_23 = e3)
% 264.81/206.86 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (3084), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (896) all_0_28_28 = e3
% 264.81/206.86 |
% 264.81/206.86 | Equations (896) can reduce 300 to:
% 264.81/206.86 | (560) ~ (all_0_18_18 = e3)
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (185), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1153) all_0_18_18 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (1153) can reduce 1046 to:
% 264.81/206.86 | (389) ~ (e4 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 389 yields:
% 264.81/206.86 | (287) ~ (e4 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Equations (1153) can reduce 560 to:
% 264.81/206.86 | (391) ~ (e3 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 391 yields:
% 264.81/206.86 | (88) ~ (e3 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Equations (1153) can reduce 419 to:
% 264.81/206.86 | (395) ~ (e1 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 395 yields:
% 264.81/206.86 | (37) ~ (e1 = e0)
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (241), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1921) all_0_25_25 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (950,1921) yields a new equation:
% 264.81/206.86 | (960) e1 = e0
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 960 yields:
% 264.81/206.86 | (961) e1 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (961) can reduce 37 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (1925) ~ (all_0_25_25 = e0)
% 264.81/206.86 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (1926), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (883) all_0_26_26 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (883) can reduce 1008 to:
% 264.81/206.86 | (395) ~ (e1 = e0)
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 395 yields:
% 264.81/206.86 | (37) ~ (e1 = e0)
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (735), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (820) ~ (op(e4, e2) = e0)
% 264.81/206.86 |
% 264.81/206.86 | Using (813) and (820) yields:
% 264.81/206.86 | (821) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (813) op(e4, e2) = e0
% 264.81/206.86 | (823) all_0_17_17 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (823,1498) yields a new equation:
% 264.81/206.86 | (961) e1 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (961) can reduce 37 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (1058) ~ (all_0_26_26 = e0)
% 264.81/206.86 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (2527), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (546) all_0_27_27 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (435,546) yields a new equation:
% 264.81/206.86 | (842) e4 = e0
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 842 yields:
% 264.81/206.86 | (490) e4 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (490) can reduce 287 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (434) ~ (all_0_27_27 = e0)
% 264.81/206.86 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (2533), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1044) all_0_28_28 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (1044,896) yields a new equation:
% 264.81/206.86 | (980) e3 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (980) can reduce 88 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (886) ~ (all_0_28_28 = e0)
% 264.81/206.86 | (2537) all_0_29_29 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (2537) can reduce 383 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (1156) ~ (all_0_18_18 = e0)
% 264.81/206.86 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (241), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1921) all_0_25_25 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (950,1921) yields a new equation:
% 264.81/206.86 | (960) e1 = e0
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 960 yields:
% 264.81/206.86 | (961) e1 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (961) can reduce 37 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (1925) ~ (all_0_25_25 = e0)
% 264.81/206.86 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (950) can reduce 1925 to:
% 264.81/206.86 | (37) ~ (e1 = e0)
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (1157), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (851) all_0_23_23 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (851,1515) yields a new equation:
% 264.81/206.86 | (490) e4 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (490) can reduce 287 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (1068) ~ (all_0_23_23 = e0)
% 264.81/206.86 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (1228), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1044) all_0_28_28 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (896,1044) yields a new equation:
% 264.81/206.86 | (979) e3 = e0
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 979 yields:
% 264.81/206.86 | (980) e3 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (980) can reduce 88 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (886) ~ (all_0_28_28 = e0)
% 264.81/206.86 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (1253), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (1254) all_0_33_33 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (1254,418) yields a new equation:
% 264.81/206.86 | (961) e1 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (961) can reduce 37 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (399) ~ (all_0_33_33 = e0)
% 264.81/206.86 | (1214) all_0_38_38 = e0
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (1214,809) yields a new equation:
% 264.81/206.86 | (551) e2 = e0
% 264.81/206.86 |
% 264.81/206.86 | Equations (551) can reduce 347 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (1035) ~ (all_0_28_28 = e3)
% 264.81/206.86 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 264.81/206.86 |
% 264.81/206.86 +-Applying beta-rule and splitting (3089), into two cases.
% 264.81/206.86 |-Branch one:
% 264.81/206.86 | (410) all_0_33_33 = e3
% 264.81/206.86 |
% 264.81/206.86 | Combining equations (410,418) yields a new equation:
% 264.81/206.86 | (933) e3 = e1
% 264.81/206.86 |
% 264.81/206.86 | Simplifying 933 yields:
% 264.81/206.86 | (706) e3 = e1
% 264.81/206.86 |
% 264.81/206.86 | Equations (706) can reduce 318 to:
% 264.81/206.86 | (366) $false
% 264.81/206.86 |
% 264.81/206.86 |-The branch is then unsatisfiable
% 264.81/206.86 |-Branch two:
% 264.81/206.86 | (403) ~ (all_0_33_33 = e3)
% 264.81/206.87 | (1077) all_0_38_38 = e3
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (1077,809) yields a new equation:
% 264.81/206.87 | (3874) e3 = e2
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 3874 yields:
% 264.81/206.87 | (764) e3 = e2
% 264.81/206.87 |
% 264.81/206.87 | Equations (764) can reduce 56 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (1084) ~ (all_0_38_38 = e2)
% 264.81/206.87 | (373) all_0_39_39 = e2
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (380,373) yields a new equation:
% 264.81/206.87 | (551) e2 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (551) can reduce 347 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (946) ~ (all_0_25_25 = e1)
% 264.81/206.87 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (937), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (1175) all_0_20_20 = e1
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (835,1175) yields a new equation:
% 264.81/206.87 | (961) e1 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (961) can reduce 37 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (1409) ~ (all_0_20_20 = e1)
% 264.81/206.87 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (1656), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (950) all_0_25_25 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (950) can reduce 946 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (946) ~ (all_0_25_25 = e1)
% 264.81/206.87 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (1676), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (787) all_0_30_30 = e1
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (759,787) yields a new equation:
% 264.81/206.87 | (933) e3 = e1
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 933 yields:
% 264.81/206.87 | (706) e3 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (706) can reduce 318 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (422) ~ (all_0_30_30 = e1)
% 264.81/206.87 | (1196) all_0_35_35 = e1
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (1161,1196) yields a new equation:
% 264.81/206.87 | (955) e4 = e1
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 955 yields:
% 264.81/206.87 | (480) e4 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (480) can reduce 65 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (1593) ~ (all_0_36_36 = e1)
% 264.81/206.87 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (2672), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (1590) all_0_37_37 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (1590) can reduce 2562 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (2562) ~ (all_0_37_37 = e1)
% 264.81/206.87 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (2676), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (1211) all_0_38_38 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (1211) can reduce 428 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (428) ~ (all_0_38_38 = e1)
% 264.81/206.87 | (377) all_0_39_39 = e1
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (377,380) yields a new equation:
% 264.81/206.87 | (960) e1 = e0
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 960 yields:
% 264.81/206.87 | (961) e1 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (961) can reduce 37 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (568) ~ (all_0_30_30 = e3)
% 264.81/206.87 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (782), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (747) all_0_30_30 = e2
% 264.81/206.87 |
% 264.81/206.87 | Equations (747) can reduce 740 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (740) ~ (all_0_30_30 = e2)
% 264.81/206.87 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (786), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (787) all_0_30_30 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (787) can reduce 422 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (422) ~ (all_0_30_30 = e1)
% 264.81/206.87 | (790) all_0_30_30 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (790) can reduce 1878 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (943) ~ (all_0_24_24 = e1)
% 264.81/206.87 | (1069) all_0_24_24 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (1069) can reduce 382 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (493) ~ (all_0_22_22 = e2)
% 264.81/206.87 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (920), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (999) all_0_22_22 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (999) can reduce 1018 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (1018) ~ (all_0_22_22 = e1)
% 264.81/206.87 | (847) all_0_22_22 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (847) can reduce 826 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (1501) ~ (all_0_17_17 = e1)
% 264.81/206.87 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (1270), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (1274) all_0_18_18 = e2
% 264.81/206.87 |
% 264.81/206.87 | Equations (1274) can reduce 666 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (666) ~ (all_0_18_18 = e2)
% 264.81/206.87 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (1277), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (1278) all_0_18_18 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (1278) can reduce 419 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (419) ~ (all_0_18_18 = e1)
% 264.81/206.87 | (1153) all_0_18_18 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (1153) can reduce 419 to:
% 264.81/206.87 | (395) ~ (e1 = e0)
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 395 yields:
% 264.81/206.87 | (37) ~ (e1 = e0)
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (1681), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (1278) all_0_18_18 = e1
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (1278,1153) yields a new equation:
% 264.81/206.87 | (960) e1 = e0
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 960 yields:
% 264.81/206.87 | (961) e1 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (961) can reduce 37 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (419) ~ (all_0_18_18 = e1)
% 264.81/206.87 | (716) all_0_19_19 = e1
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (716,927) yields a new equation:
% 264.81/206.87 | (706) e3 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (706) can reduce 318 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (839) ~ (all_0_20_20 = e0)
% 264.81/206.87 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (2301), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (903) all_0_20_20 = e3
% 264.81/206.87 |
% 264.81/206.87 | Equations (903) can reduce 564 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (564) ~ (all_0_20_20 = e3)
% 264.81/206.87 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (2305), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (736) all_0_20_20 = e2
% 264.81/206.87 |
% 264.81/206.87 | Equations (736) can reduce 1114 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (1114) ~ (all_0_20_20 = e2)
% 264.81/206.87 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (2309), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (1175) all_0_20_20 = e1
% 264.81/206.87 |
% 264.81/206.87 | From (1175) and (6525) follows:
% 264.81/206.87 | (4267) op(e1, e4) = e4
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (2806), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (4268) ~ (op(e1, e4) = e4)
% 264.81/206.87 |
% 264.81/206.87 | Using (4267) and (4268) yields:
% 264.81/206.87 | (821) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (4267) op(e1, e4) = e4
% 264.81/206.87 | (768) all_0_30_30 = e4
% 264.81/206.87 |
% 264.81/206.87 | Equations (768) can reduce 509 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (1409) ~ (all_0_20_20 = e1)
% 264.81/206.87 | (835) all_0_20_20 = e0
% 264.81/206.87 |
% 264.81/206.87 | Equations (835) can reduce 839 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (578) ~ (all_0_23_23 = e4)
% 264.81/206.87 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (1518), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (892) all_0_28_28 = e4
% 264.81/206.87 |
% 264.81/206.87 | Equations (892) can reduce 890 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (890) ~ (all_0_28_28 = e4)
% 264.81/206.87 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (1522), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (406) all_0_33_33 = e4
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (418,406) yields a new equation:
% 264.81/206.87 | (480) e4 = e1
% 264.81/206.87 |
% 264.81/206.87 | Equations (480) can reduce 65 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (405) ~ (all_0_33_33 = e4)
% 264.81/206.87 | (1165) all_0_38_38 = e4
% 264.81/206.87 |
% 264.81/206.87 | Equations (1165) can reduce 1143 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (573) ~ (all_0_16_16 = e4)
% 264.81/206.87 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (694), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (701) all_0_16_16 = e4
% 264.81/206.87 |
% 264.81/206.87 | Equations (701) can reduce 573 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (573) ~ (all_0_16_16 = e4)
% 264.81/206.87 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (6243), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (449) all_0_21_21 = e4
% 264.81/206.87 |
% 264.81/206.87 | Combining equations (449,453) yields a new equation:
% 264.81/206.87 | (690) e4 = e3
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 690 yields:
% 264.81/206.87 | (691) e4 = e3
% 264.81/206.87 |
% 264.81/206.87 | Equations (691) can reduce 277 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (448) ~ (all_0_21_21 = e4)
% 264.81/206.87 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 264.81/206.87 |
% 264.81/206.87 | Equations (453) can reduce 448 to:
% 264.81/206.87 | (695) ~ (e4 = e3)
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 695 yields:
% 264.81/206.87 | (277) ~ (e4 = e3)
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (864), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (865) all_0_17_17 = e4
% 264.81/206.87 |
% 264.81/206.87 | Equations (865) can reduce 869 to:
% 264.81/206.87 | (366) $false
% 264.81/206.87 |
% 264.81/206.87 |-The branch is then unsatisfiable
% 264.81/206.87 |-Branch two:
% 264.81/206.87 | (869) ~ (all_0_17_17 = e4)
% 264.81/206.87 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 264.81/206.87 |
% 264.81/206.87 +-Applying beta-rule and splitting (870), into two cases.
% 264.81/206.87 |-Branch one:
% 264.81/206.87 | (887) all_0_18_18 = e4
% 264.81/206.87 |
% 264.81/206.87 | Equations (887) can reduce 74 to:
% 264.81/206.87 | (869) ~ (all_0_17_17 = e4)
% 264.81/206.87 |
% 264.81/206.87 | Equations (887) can reduce 110 to:
% 264.81/206.87 | (577) ~ (all_0_23_23 = e4)
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 577 yields:
% 264.81/206.87 | (578) ~ (all_0_23_23 = e4)
% 264.81/206.87 |
% 264.81/206.87 | Equations (887) can reduce 142 to:
% 264.81/206.87 | (1142) ~ (all_0_38_38 = e4)
% 264.81/206.87 |
% 264.81/206.87 | Simplifying 1142 yields:
% 264.81/206.88 | (1143) ~ (all_0_38_38 = e4)
% 264.81/206.88 |
% 264.81/206.88 | From (887) and (238) follows:
% 264.81/206.88 | (12210) op(e4, all_0_30_30) = e1
% 264.81/206.88 |
% 264.81/206.88 | From (887) and (290) follows:
% 264.81/206.88 | (1426) op(all_0_30_30, e4) = e4
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (256), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (1453) all_0_20_20 = e4
% 264.81/206.88 |
% 264.81/206.88 | Equations (1453) can reduce 496 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (496) ~ (all_0_20_20 = e4)
% 264.81/206.88 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (6248), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (1237) all_0_26_26 = e4
% 264.81/206.88 |
% 264.81/206.88 | Equations (1237) can reduce 582 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (582) ~ (all_0_26_26 = e4)
% 264.81/206.88 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (7219), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (449) all_0_21_21 = e4
% 264.81/206.88 |
% 264.81/206.88 | Combining equations (453,449) yields a new equation:
% 264.81/206.88 | (691) e4 = e3
% 264.81/206.88 |
% 264.81/206.88 | Equations (691) can reduce 277 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (448) ~ (all_0_21_21 = e4)
% 264.81/206.88 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (7224), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (831) all_0_22_22 = e4
% 264.81/206.88 |
% 264.81/206.88 | Equations (831) can reduce 576 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (576) ~ (all_0_22_22 = e4)
% 264.81/206.88 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (7426), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (1515) all_0_23_23 = e4
% 264.81/206.88 |
% 264.81/206.88 | Equations (1515) can reduce 578 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (578) ~ (all_0_23_23 = e4)
% 264.81/206.88 | (685) all_0_24_24 = e4
% 264.81/206.88 |
% 264.81/206.88 | Equations (685) can reduce 87 to:
% 264.81/206.88 | (714) ~ (all_0_19_19 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (685) can reduce 167 to:
% 264.81/206.88 | (496) ~ (all_0_20_20 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (685) can reduce 118 to:
% 264.81/206.88 | (578) ~ (all_0_23_23 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (685) can reduce 85 to:
% 264.81/206.88 | (2797) ~ (all_0_29_29 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 2797 yields:
% 264.81/206.88 | (724) ~ (all_0_29_29 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (685) can reduce 382 to:
% 264.81/206.88 | (287) ~ (e4 = e0)
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (6263), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (1446) all_0_31_31 = e4
% 264.81/206.88 |
% 264.81/206.88 | Equations (1446) can reduce 10 to:
% 264.81/206.88 | (573) ~ (all_0_16_16 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (1446) can reduce 145 to:
% 264.81/206.88 | (582) ~ (all_0_26_26 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (1446) can reduce 217 to:
% 264.81/206.88 | (509) ~ (all_0_30_30 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (1446) can reduce 247 to:
% 264.81/206.88 | (1495) ~ (all_0_32_32 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 1495 yields:
% 264.81/206.88 | (727) ~ (all_0_32_32 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (1446) can reduce 188 to:
% 264.81/206.88 | (2206) ~ (all_0_34_34 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 2206 yields:
% 264.81/206.88 | (1395) ~ (all_0_34_34 = e4)
% 264.81/206.88 |
% 264.81/206.88 | Equations (1446) can reduce 423 to:
% 264.81/206.88 | (65) ~ (e4 = e1)
% 264.81/206.88 |
% 264.81/206.88 | From (1446) and (25) follows:
% 264.81/206.88 | (10550) op(all_0_23_23, e4) = e1
% 264.81/206.88 |
% 264.81/206.88 | From (1446) and (301) follows:
% 264.81/206.88 | (10551) op(e4, all_0_23_23) = e3
% 264.81/206.88 |
% 264.81/206.88 | Instantiating formula (97) with e2, e4, e1, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 264.81/206.88 | (733) all_0_25_25 = e1 | ~ (op(e2, e4) = e1)
% 264.81/206.88 |
% 264.81/206.88 | Instantiating formula (97) with e3, e4, e4, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 264.81/206.88 | (12251) all_0_20_20 = e4 | ~ (op(e3, e4) = e4)
% 264.81/206.88 |
% 264.81/206.88 | Instantiating formula (97) with e4, e2, e3, all_0_17_17 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 264.81/206.88 | (6528) all_0_17_17 = e3 | ~ (op(e4, e2) = e3)
% 264.81/206.88 |
% 264.81/206.88 | Instantiating formula (97) with e4, e0, e1, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 264.81/206.88 | (12253) all_0_19_19 = e1 | ~ (op(e4, e0) = e1)
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (192), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (663) all_0_19_19 = e2
% 264.81/206.88 |
% 264.81/206.88 | Equations (663) can reduce 2785 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (2785) ~ (all_0_19_19 = e2)
% 264.81/206.88 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (137), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (1515) all_0_23_23 = e4
% 264.81/206.88 |
% 264.81/206.88 | Equations (1515) can reduce 578 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (578) ~ (all_0_23_23 = e4)
% 264.81/206.88 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (340), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (697) all_0_16_16 = e2
% 264.81/206.88 |
% 264.81/206.88 | Equations (697) can reduce 664 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (664) ~ (all_0_16_16 = e2)
% 264.81/206.88 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (279), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (873) all_0_16_16 = e0
% 264.81/206.88 |
% 264.81/206.88 | Equations (873) can reduce 169 to:
% 264.81/206.88 | (5572) ~ (all_0_17_17 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 5572 yields:
% 264.81/206.88 | (2422) ~ (all_0_17_17 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Equations (873) can reduce 236 to:
% 264.81/206.88 | (5576) ~ (all_0_19_19 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 5576 yields:
% 264.81/206.88 | (381) ~ (all_0_19_19 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Equations (873) can reduce 139 to:
% 264.81/206.88 | (2897) ~ (all_0_26_26 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 2897 yields:
% 264.81/206.88 | (1058) ~ (all_0_26_26 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Equations (873) can reduce 573 to:
% 264.81/206.88 | (389) ~ (e4 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 389 yields:
% 264.81/206.88 | (287) ~ (e4 = e0)
% 264.81/206.88 |
% 264.81/206.88 | From (873) and (124) follows:
% 264.81/206.88 | (5586) op(e0, all_0_20_20) = e3
% 264.81/206.88 |
% 264.81/206.88 | From (873) and (40) follows:
% 264.81/206.88 | (5587) op(all_0_20_20, e0) = e4
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (10331), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (10606) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Applying alpha-rule on (10606) yields:
% 264.81/206.88 | (10607) all_0_11_11 = all_0_17_17
% 264.81/206.88 | (2422) ~ (all_0_17_17 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Instantiating formula (97) with e1, e0, e4, all_0_34_34 and discharging atoms op(e1, e0) = all_0_34_34, yields:
% 264.81/206.88 | (12280) all_0_34_34 = e4 | ~ (op(e1, e0) = e4)
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (323), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (476) all_0_15_15 = e1
% 264.81/206.88 |
% 264.81/206.88 | Combining equations (476,472) yields a new equation:
% 264.81/206.88 | (718) e2 = e1
% 264.81/206.88 |
% 264.81/206.88 | Equations (718) can reduce 329 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (482) ~ (all_0_15_15 = e1)
% 264.81/206.88 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 264.81/206.88 |
% 264.81/206.88 | Equations (472) can reduce 482 to:
% 264.81/206.88 | (329) ~ (e2 = e1)
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (228), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (921) all_0_16_16 = e1
% 264.81/206.88 |
% 264.81/206.88 | Combining equations (921,873) yields a new equation:
% 264.81/206.88 | (960) e1 = e0
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 960 yields:
% 264.81/206.88 | (961) e1 = e0
% 264.81/206.88 |
% 264.81/206.88 | Equations (961) can reduce 37 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (985) ~ (all_0_16_16 = e1)
% 264.81/206.88 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 264.81/206.88 |
% 264.81/206.88 | Equations (873) can reduce 985 to:
% 264.81/206.88 | (395) ~ (e1 = e0)
% 264.81/206.88 |
% 264.81/206.88 | Simplifying 395 yields:
% 264.81/206.88 | (37) ~ (e1 = e0)
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (182), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (1237) all_0_26_26 = e4
% 264.81/206.88 |
% 264.81/206.88 | Equations (1237) can reduce 582 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (582) ~ (all_0_26_26 = e4)
% 264.81/206.88 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (241), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (1921) all_0_25_25 = e0
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (29), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (476) all_0_15_15 = e1
% 264.81/206.88 |
% 264.81/206.88 | Combining equations (476,472) yields a new equation:
% 264.81/206.88 | (718) e2 = e1
% 264.81/206.88 |
% 264.81/206.88 | Equations (718) can reduce 329 to:
% 264.81/206.88 | (366) $false
% 264.81/206.88 |
% 264.81/206.88 |-The branch is then unsatisfiable
% 264.81/206.88 |-Branch two:
% 264.81/206.88 | (482) ~ (all_0_15_15 = e1)
% 264.81/206.88 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 264.81/206.88 |
% 264.81/206.88 +-Applying beta-rule and splitting (937), into two cases.
% 264.81/206.88 |-Branch one:
% 264.81/206.88 | (1175) all_0_20_20 = e1
% 264.81/206.88 |
% 264.81/206.88 | From (1175) and (5587) follows:
% 265.04/206.88 | (12306) op(e1, e0) = e4
% 265.04/206.88 |
% 265.04/206.88 +-Applying beta-rule and splitting (12280), into two cases.
% 265.04/206.88 |-Branch one:
% 265.04/206.89 | (12307) ~ (op(e1, e0) = e4)
% 265.04/206.89 |
% 265.04/206.89 | Using (12306) and (12307) yields:
% 265.04/206.89 | (821) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (12306) op(e1, e0) = e4
% 265.04/206.89 | (723) all_0_34_34 = e4
% 265.04/206.89 |
% 265.04/206.89 | Equations (723) can reduce 1395 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (1409) ~ (all_0_20_20 = e1)
% 265.04/206.89 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (1656), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (950) all_0_25_25 = e1
% 265.04/206.89 |
% 265.04/206.89 | Combining equations (1921,950) yields a new equation:
% 265.04/206.89 | (961) e1 = e0
% 265.04/206.89 |
% 265.04/206.89 | Equations (961) can reduce 37 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (946) ~ (all_0_25_25 = e1)
% 265.04/206.89 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (1676), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (787) all_0_30_30 = e1
% 265.04/206.89 |
% 265.04/206.89 | Equations (787) can reduce 422 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (422) ~ (all_0_30_30 = e1)
% 265.04/206.89 | (1196) all_0_35_35 = e1
% 265.04/206.89 |
% 265.04/206.89 | Combining equations (1196,1161) yields a new equation:
% 265.04/206.89 | (480) e4 = e1
% 265.04/206.89 |
% 265.04/206.89 | Equations (480) can reduce 65 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (1925) ~ (all_0_25_25 = e0)
% 265.04/206.89 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (1926), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (883) all_0_26_26 = e0
% 265.04/206.89 |
% 265.04/206.89 | Equations (883) can reduce 1058 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (1058) ~ (all_0_26_26 = e0)
% 265.04/206.89 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (2527), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (546) all_0_27_27 = e0
% 265.04/206.89 |
% 265.04/206.89 | Combining equations (435,546) yields a new equation:
% 265.04/206.89 | (842) e4 = e0
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 842 yields:
% 265.04/206.89 | (490) e4 = e0
% 265.04/206.89 |
% 265.04/206.89 | Equations (490) can reduce 287 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (434) ~ (all_0_27_27 = e0)
% 265.04/206.89 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (2533), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (1044) all_0_28_28 = e0
% 265.04/206.89 |
% 265.04/206.89 | Equations (1044) can reduce 86 to:
% 265.04/206.89 | (1068) ~ (all_0_23_23 = e0)
% 265.04/206.89 |
% 265.04/206.89 | Equations (1044) can reduce 193 to:
% 265.04/206.89 | (1925) ~ (all_0_25_25 = e0)
% 265.04/206.89 |
% 265.04/206.89 | Equations (1044) can reduce 46 to:
% 265.04/206.89 | (1058) ~ (all_0_26_26 = e0)
% 265.04/206.89 |
% 265.04/206.89 | Equations (1044) can reduce 73 to:
% 265.04/206.89 | (3455) ~ (all_0_29_29 = e0)
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 3455 yields:
% 265.04/206.89 | (383) ~ (all_0_29_29 = e0)
% 265.04/206.89 |
% 265.04/206.89 | Equations (1044) can reduce 198 to:
% 265.04/206.89 | (1285) ~ (all_0_38_38 = e0)
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 1285 yields:
% 265.04/206.89 | (388) ~ (all_0_38_38 = e0)
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (3943), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (978) all_0_23_23 = e3
% 265.04/206.89 |
% 265.04/206.89 | Equations (978) can reduce 982 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (982) ~ (all_0_23_23 = e3)
% 265.04/206.89 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (3947), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (1126) all_0_23_23 = e2
% 265.04/206.89 |
% 265.04/206.89 | Equations (1126) can reduce 39 to:
% 265.04/206.89 | (1130) ~ (all_0_38_38 = e2)
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 1130 yields:
% 265.04/206.89 | (1084) ~ (all_0_38_38 = e2)
% 265.04/206.89 |
% 265.04/206.89 | From (1126) and (10550) follows:
% 265.04/206.89 | (812) op(e2, e4) = e1
% 265.04/206.89 |
% 265.04/206.89 | From (1126) and (10551) follows:
% 265.04/206.89 | (6582) op(e4, e2) = e3
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (6528), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (6609) ~ (op(e4, e2) = e3)
% 265.04/206.89 |
% 265.04/206.89 | Using (6582) and (6609) yields:
% 265.04/206.89 | (821) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (6582) op(e4, e2) = e3
% 265.04/206.89 | (1970) all_0_17_17 = e3
% 265.04/206.89 |
% 265.04/206.89 | Combining equations (1970,10607) yields a new equation:
% 265.04/206.89 | (9199) all_0_11_11 = e3
% 265.04/206.89 |
% 265.04/206.89 | Equations (1970) can reduce 286 to:
% 265.04/206.89 | (6619) ~ (all_0_32_32 = e3)
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 6619 yields:
% 265.04/206.89 | (1089) ~ (all_0_32_32 = e3)
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (1168), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (1077) all_0_38_38 = e3
% 265.04/206.89 |
% 265.04/206.89 | Equations (1077) can reduce 428 to:
% 265.04/206.89 | (318) ~ (e3 = e1)
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (733), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (947) ~ (op(e2, e4) = e1)
% 265.04/206.89 |
% 265.04/206.89 | Using (812) and (947) yields:
% 265.04/206.89 | (821) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (812) op(e2, e4) = e1
% 265.04/206.89 | (950) all_0_25_25 = e1
% 265.04/206.89 |
% 265.04/206.89 | Equations (950) can reduce 128 to:
% 265.04/206.89 | (5348) ~ (all_0_26_26 = e1)
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 5348 yields:
% 265.04/206.89 | (1008) ~ (all_0_26_26 = e1)
% 265.04/206.89 |
% 265.04/206.89 | Equations (950) can reduce 501 to:
% 265.04/206.89 | (477) ~ (e4 = e1)
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 477 yields:
% 265.04/206.89 | (65) ~ (e4 = e1)
% 265.04/206.89 |
% 265.04/206.89 | Equations (950) can reduce 1925 to:
% 265.04/206.89 | (37) ~ (e1 = e0)
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (709), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (921) all_0_16_16 = e1
% 265.04/206.89 |
% 265.04/206.89 | Combining equations (921,873) yields a new equation:
% 265.04/206.89 | (960) e1 = e0
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 960 yields:
% 265.04/206.89 | (961) e1 = e0
% 265.04/206.89 |
% 265.04/206.89 | Equations (961) can reduce 37 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (985) ~ (all_0_16_16 = e1)
% 265.04/206.89 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.04/206.89 |
% 265.04/206.89 +-Applying beta-rule and splitting (537), into two cases.
% 265.04/206.89 |-Branch one:
% 265.04/206.89 | (11616) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)
% 265.04/206.89 |
% 265.04/206.89 | Applying alpha-rule on (11616) yields:
% 265.04/206.89 | (10607) all_0_11_11 = all_0_17_17
% 265.04/206.89 | (558) ~ (all_0_17_17 = e3)
% 265.04/206.89 |
% 265.04/206.89 | Combining equations (10607,9199) yields a new equation:
% 265.04/206.89 | (12381) all_0_17_17 = e3
% 265.04/206.89 |
% 265.04/206.89 | Simplifying 12381 yields:
% 265.04/206.89 | (1970) all_0_17_17 = e3
% 265.04/206.89 |
% 265.04/206.89 | Equations (1970) can reduce 558 to:
% 265.04/206.89 | (366) $false
% 265.04/206.89 |
% 265.04/206.89 |-The branch is then unsatisfiable
% 265.04/206.89 |-Branch two:
% 265.04/206.89 | (12384) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 265.04/206.89 |
% 265.04/206.89 | Applying alpha-rule on (12384) yields:
% 265.04/206.89 | (10607) all_0_11_11 = all_0_17_17
% 265.04/206.90 | (12386) ( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 265.04/206.90 |
% 265.04/206.90 | Combining equations (10607,9199) yields a new equation:
% 265.04/206.90 | (12381) all_0_17_17 = e3
% 265.04/206.90 |
% 265.04/206.90 | Simplifying 12381 yields:
% 265.04/206.90 | (1970) all_0_17_17 = e3
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (5353), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (2443) all_0_26_26 = e3
% 265.04/206.90 |
% 265.04/206.90 | Equations (2443) can reduce 504 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (504) ~ (all_0_26_26 = e3)
% 265.04/206.90 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (5357), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (2380) all_0_26_26 = e2
% 265.04/206.90 |
% 265.04/206.90 | Equations (2380) can reduce 38 to:
% 265.04/206.90 | (650) ~ (all_0_29_29 = e2)
% 265.04/206.90 |
% 265.04/206.90 | Simplifying 650 yields:
% 265.04/206.90 | (651) ~ (all_0_29_29 = e2)
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (32), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (716) all_0_19_19 = e1
% 265.04/206.90 |
% 265.04/206.90 | Equations (716) can reduce 229 to:
% 265.04/206.90 | (3164) ~ (all_0_29_29 = e1)
% 265.04/206.90 |
% 265.04/206.90 | Simplifying 3164 yields:
% 265.04/206.90 | (952) ~ (all_0_29_29 = e1)
% 265.04/206.90 |
% 265.04/206.90 | Equations (716) can reduce 280 to:
% 265.04/206.90 | (425) ~ (all_0_34_34 = e1)
% 265.04/206.90 |
% 265.04/206.90 | Simplifying 425 yields:
% 265.04/206.90 | (426) ~ (all_0_34_34 = e1)
% 265.04/206.90 |
% 265.04/206.90 | From (716) and (11499) follows:
% 265.04/206.90 | (4831) op(e1, e4) = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (357), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (1250) all_0_29_29 = e4
% 265.04/206.90 |
% 265.04/206.90 | Equations (1250) can reduce 724 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (724) ~ (all_0_29_29 = e4)
% 265.04/206.90 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (4342), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (4891) ~ (op(e1, e4) = e0)
% 265.04/206.90 |
% 265.04/206.90 | Using (4831) and (4891) yields:
% 265.04/206.90 | (821) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (4831) op(e1, e4) = e0
% 265.04/206.90 | (790) all_0_30_30 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (790) can reduce 116 to:
% 265.04/206.90 | (839) ~ (all_0_20_20 = e0)
% 265.04/206.90 |
% 265.04/206.90 | Equations (790) can reduce 15 to:
% 265.04/206.90 | (2963) ~ (all_0_34_34 = e0)
% 265.04/206.90 |
% 265.04/206.90 | Simplifying 2963 yields:
% 265.04/206.90 | (384) ~ (all_0_34_34 = e0)
% 265.04/206.90 |
% 265.04/206.90 | Equations (790) can reduce 509 to:
% 265.04/206.90 | (389) ~ (e4 = e0)
% 265.04/206.90 |
% 265.04/206.90 | Simplifying 389 yields:
% 265.04/206.90 | (287) ~ (e4 = e0)
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (2812), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (1023) all_0_29_29 = e3
% 265.04/206.90 |
% 265.04/206.90 | Equations (1023) can reduce 41 to:
% 265.04/206.90 | (2981) ~ (all_0_34_34 = e3)
% 265.04/206.90 |
% 265.04/206.90 | Simplifying 2981 yields:
% 265.04/206.90 | (1031) ~ (all_0_34_34 = e3)
% 265.04/206.90 |
% 265.04/206.90 | Equations (1023) can reduce 383 to:
% 265.04/206.90 | (88) ~ (e3 = e0)
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (83), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (723) all_0_34_34 = e4
% 265.04/206.90 |
% 265.04/206.90 | Equations (723) can reduce 1395 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (1395) ~ (all_0_34_34 = e4)
% 265.04/206.90 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (1396), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (1027) all_0_34_34 = e3
% 265.04/206.90 |
% 265.04/206.90 | Equations (1027) can reduce 1031 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (1031) ~ (all_0_34_34 = e3)
% 265.04/206.90 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (222), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (823) all_0_17_17 = e0
% 265.04/206.90 |
% 265.04/206.90 | Combining equations (823,1970) yields a new equation:
% 265.04/206.90 | (980) e3 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (980) can reduce 88 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (2422) ~ (all_0_17_17 = e0)
% 265.04/206.90 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (1970) can reduce 2422 to:
% 265.04/206.90 | (88) ~ (e3 = e0)
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (1709), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (1110) all_0_34_34 = e2
% 265.04/206.90 |
% 265.04/206.90 | Equations (1110) can reduce 199 to:
% 265.04/206.90 | (508) ~ (all_0_32_32 = e2)
% 265.04/206.90 |
% 265.04/206.90 | Equations (1110) can reduce 384 to:
% 265.04/206.90 | (347) ~ (e2 = e0)
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (2515), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (847) all_0_22_22 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (847) can reduce 63 to:
% 265.04/206.90 | (2961) ~ (all_0_32_32 = e0)
% 265.04/206.90 |
% 265.04/206.90 | Simplifying 2961 yields:
% 265.04/206.90 | (1946) ~ (all_0_32_32 = e0)
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (261), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (1229) all_0_32_32 = e4
% 265.04/206.90 |
% 265.04/206.90 | Equations (1229) can reduce 727 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (727) ~ (all_0_32_32 = e4)
% 265.04/206.90 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (1506), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (772) all_0_32_32 = e3
% 265.04/206.90 |
% 265.04/206.90 | Equations (772) can reduce 1089 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (1089) ~ (all_0_32_32 = e3)
% 265.04/206.90 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (1618), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (1101) all_0_32_32 = e2
% 265.04/206.90 |
% 265.04/206.90 | Equations (1101) can reduce 508 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (508) ~ (all_0_32_32 = e2)
% 265.04/206.90 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (1622), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (1587) all_0_32_32 = e1
% 265.04/206.90 |
% 265.04/206.90 | Equations (1587) can reduce 424 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (424) ~ (all_0_32_32 = e1)
% 265.04/206.90 | (1626) all_0_32_32 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (1626) can reduce 1946 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (826) ~ (all_0_22_22 = e0)
% 265.04/206.90 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (135), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (835) all_0_20_20 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (835) can reduce 839 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (839) ~ (all_0_20_20 = e0)
% 265.04/206.90 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (840), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (529) all_0_21_21 = e0
% 265.04/206.90 |
% 265.04/206.90 | Combining equations (529,453) yields a new equation:
% 265.04/206.90 | (980) e3 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (980) can reduce 88 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (398) ~ (all_0_21_21 = e0)
% 265.04/206.90 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (846), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (847) all_0_22_22 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (847) can reduce 826 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (826) ~ (all_0_22_22 = e0)
% 265.04/206.90 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (850), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (851) all_0_23_23 = e0
% 265.04/206.90 |
% 265.04/206.90 | Combining equations (851,1126) yields a new equation:
% 265.04/206.90 | (551) e2 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (551) can reduce 347 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (1068) ~ (all_0_23_23 = e0)
% 265.04/206.90 | (1069) all_0_24_24 = e0
% 265.04/206.90 |
% 265.04/206.90 | Combining equations (1069,685) yields a new equation:
% 265.04/206.90 | (490) e4 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (490) can reduce 287 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (672) ~ (all_0_34_34 = e2)
% 265.04/206.90 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (1713), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (954) all_0_34_34 = e1
% 265.04/206.90 |
% 265.04/206.90 | Equations (954) can reduce 426 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (426) ~ (all_0_34_34 = e1)
% 265.04/206.90 | (1717) all_0_34_34 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (1717) can reduce 384 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (898) ~ (all_0_29_29 = e3)
% 265.04/206.90 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (5409), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (4103) all_0_29_29 = e2
% 265.04/206.90 |
% 265.04/206.90 | Equations (4103) can reduce 651 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (651) ~ (all_0_29_29 = e2)
% 265.04/206.90 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (5413), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (945) all_0_29_29 = e1
% 265.04/206.90 |
% 265.04/206.90 | Equations (945) can reduce 952 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (952) ~ (all_0_29_29 = e1)
% 265.04/206.90 | (2537) all_0_29_29 = e0
% 265.04/206.90 |
% 265.04/206.90 | Equations (2537) can reduce 383 to:
% 265.04/206.90 | (366) $false
% 265.04/206.90 |
% 265.04/206.90 |-The branch is then unsatisfiable
% 265.04/206.90 |-Branch two:
% 265.04/206.90 | (720) ~ (all_0_19_19 = e1)
% 265.04/206.90 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.04/206.90 |
% 265.04/206.90 +-Applying beta-rule and splitting (721), into two cases.
% 265.04/206.90 |-Branch one:
% 265.04/206.90 | (940) all_0_24_24 = e1
% 265.04/206.90 |
% 265.04/206.91 | Combining equations (685,940) yields a new equation:
% 265.04/206.91 | (955) e4 = e1
% 265.04/206.91 |
% 265.04/206.91 | Simplifying 955 yields:
% 265.04/206.91 | (480) e4 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (480) can reduce 65 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (943) ~ (all_0_24_24 = e1)
% 265.04/206.91 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (685) can reduce 943 to:
% 265.04/206.91 | (65) ~ (e4 = e1)
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (1373), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (1498) all_0_17_17 = e1
% 265.04/206.91 |
% 265.04/206.91 | Combining equations (1970,1498) yields a new equation:
% 265.04/206.91 | (933) e3 = e1
% 265.04/206.91 |
% 265.04/206.91 | Simplifying 933 yields:
% 265.04/206.91 | (706) e3 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (706) can reduce 318 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (1501) ~ (all_0_17_17 = e1)
% 265.04/206.91 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (1681), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (1278) all_0_18_18 = e1
% 265.04/206.91 |
% 265.04/206.91 | Combining equations (887,1278) yields a new equation:
% 265.04/206.91 | (955) e4 = e1
% 265.04/206.91 |
% 265.04/206.91 | Simplifying 955 yields:
% 265.04/206.91 | (480) e4 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (480) can reduce 65 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (419) ~ (all_0_18_18 = e1)
% 265.04/206.91 | (716) all_0_19_19 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (716) can reduce 720 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (647) ~ (all_0_26_26 = e2)
% 265.04/206.91 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (5361), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (1005) all_0_26_26 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (1005) can reduce 1008 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (1008) ~ (all_0_26_26 = e1)
% 265.04/206.91 | (883) all_0_26_26 = e0
% 265.04/206.91 |
% 265.04/206.91 | Equations (883) can reduce 1058 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (1080) ~ (all_0_38_38 = e3)
% 265.04/206.91 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (1206), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (809) all_0_38_38 = e2
% 265.04/206.91 |
% 265.04/206.91 | Equations (809) can reduce 1084 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (1084) ~ (all_0_38_38 = e2)
% 265.04/206.91 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (1210), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (1211) all_0_38_38 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (1211) can reduce 428 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (428) ~ (all_0_38_38 = e1)
% 265.04/206.91 | (1214) all_0_38_38 = e0
% 265.04/206.91 |
% 265.04/206.91 | Equations (1214) can reduce 388 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (810) ~ (all_0_23_23 = e2)
% 265.04/206.91 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (3951), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (3952) all_0_23_23 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (3952) can reduce 420 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (420) ~ (all_0_23_23 = e1)
% 265.04/206.91 | (851) all_0_23_23 = e0
% 265.04/206.91 |
% 265.04/206.91 | Equations (851) can reduce 1068 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (886) ~ (all_0_28_28 = e0)
% 265.04/206.91 | (2537) all_0_29_29 = e0
% 265.04/206.91 |
% 265.04/206.91 | Equations (2537) can reduce 383 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (12546) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 265.04/206.91 |
% 265.04/206.91 | Applying alpha-rule on (12546) yields:
% 265.04/206.91 | (10607) all_0_11_11 = all_0_17_17
% 265.04/206.91 | (12548) ( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 265.04/206.91 |
% 265.04/206.91 | Instantiating formula (97) with e0, e1, e3, all_0_38_38 and discharging atoms op(e0, e1) = all_0_38_38, yields:
% 265.04/206.91 | (12549) all_0_38_38 = e3 | ~ (op(e0, e1) = e3)
% 265.04/206.91 |
% 265.04/206.91 | Instantiating formula (97) with e0, e0, e3, e0 and discharging atoms op(e0, e0) = e0, yields:
% 265.04/206.91 | (10428) e3 = e0 | ~ (op(e0, e0) = e3)
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (241), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (1921) all_0_25_25 = e0
% 265.04/206.91 |
% 265.04/206.91 | Equations (1921) can reduce 95 to:
% 265.04/206.91 | (839) ~ (all_0_20_20 = e0)
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (2301), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (903) all_0_20_20 = e3
% 265.04/206.91 |
% 265.04/206.91 | Equations (903) can reduce 564 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (564) ~ (all_0_20_20 = e3)
% 265.04/206.91 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (2305), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (736) all_0_20_20 = e2
% 265.04/206.91 |
% 265.04/206.91 | Equations (736) can reduce 1114 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (1114) ~ (all_0_20_20 = e2)
% 265.04/206.91 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (2309), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (1175) all_0_20_20 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (1175) can reduce 496 to:
% 265.04/206.91 | (477) ~ (e4 = e1)
% 265.04/206.91 |
% 265.04/206.91 | Simplifying 477 yields:
% 265.04/206.91 | (65) ~ (e4 = e1)
% 265.04/206.91 |
% 265.04/206.91 | From (1175) and (5586) follows:
% 265.04/206.91 | (12564) op(e0, e1) = e3
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (12549), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (12565) ~ (op(e0, e1) = e3)
% 265.04/206.91 |
% 265.04/206.91 | Using (12564) and (12565) yields:
% 265.04/206.91 | (821) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (12564) op(e0, e1) = e3
% 265.04/206.91 | (1077) all_0_38_38 = e3
% 265.04/206.91 |
% 265.04/206.91 | Equations (1077) can reduce 1143 to:
% 265.04/206.91 | (695) ~ (e4 = e3)
% 265.04/206.91 |
% 265.04/206.91 | Simplifying 695 yields:
% 265.04/206.91 | (277) ~ (e4 = e3)
% 265.04/206.91 |
% 265.04/206.91 | Equations (1077) can reduce 428 to:
% 265.04/206.91 | (318) ~ (e3 = e1)
% 265.04/206.91 |
% 265.04/206.91 | Equations (1077) can reduce 388 to:
% 265.04/206.91 | (88) ~ (e3 = e0)
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (7536), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (903) all_0_20_20 = e3
% 265.04/206.91 |
% 265.04/206.91 | Combining equations (1175,903) yields a new equation:
% 265.04/206.91 | (706) e3 = e1
% 265.04/206.91 |
% 265.04/206.91 | Equations (706) can reduce 318 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (564) ~ (all_0_20_20 = e3)
% 265.04/206.91 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (168), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (2438) all_0_25_25 = e3
% 265.04/206.91 |
% 265.04/206.91 | Combining equations (1921,2438) yields a new equation:
% 265.04/206.91 | (980) e3 = e0
% 265.04/206.91 |
% 265.04/206.91 | Equations (980) can reduce 88 to:
% 265.04/206.91 | (366) $false
% 265.04/206.91 |
% 265.04/206.91 |-The branch is then unsatisfiable
% 265.04/206.91 |-Branch two:
% 265.04/206.91 | (566) ~ (all_0_25_25 = e3)
% 265.04/206.91 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.04/206.91 |
% 265.04/206.91 | Equations (1921) can reduce 566 to:
% 265.04/206.91 | (391) ~ (e3 = e0)
% 265.04/206.91 |
% 265.04/206.91 | Simplifying 391 yields:
% 265.04/206.91 | (88) ~ (e3 = e0)
% 265.04/206.91 |
% 265.04/206.91 +-Applying beta-rule and splitting (8890), into two cases.
% 265.04/206.91 |-Branch one:
% 265.04/206.91 | (2438) all_0_25_25 = e3
% 265.04/206.91 |
% 265.08/206.91 | Combining equations (1921,2438) yields a new equation:
% 265.08/206.91 | (980) e3 = e0
% 265.08/206.91 |
% 265.08/206.91 | Equations (980) can reduce 88 to:
% 265.08/206.91 | (366) $false
% 265.08/206.91 |
% 265.08/206.91 |-The branch is then unsatisfiable
% 265.08/206.91 |-Branch two:
% 265.08/206.91 | (566) ~ (all_0_25_25 = e3)
% 265.08/206.92 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (8920), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (759) all_0_30_30 = e3
% 265.08/206.92 |
% 265.08/206.92 | From (759) and (1426) follows:
% 265.08/206.92 | (12591) op(e3, e4) = e4
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (12251), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (12592) ~ (op(e3, e4) = e4)
% 265.08/206.92 |
% 265.08/206.92 | Using (12591) and (12592) yields:
% 265.08/206.92 | (821) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (12591) op(e3, e4) = e4
% 265.08/206.92 | (1453) all_0_20_20 = e4
% 265.08/206.92 |
% 265.08/206.92 | Combining equations (1175,1453) yields a new equation:
% 265.08/206.92 | (480) e4 = e1
% 265.08/206.92 |
% 265.08/206.92 | Equations (480) can reduce 65 to:
% 265.08/206.92 | (366) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (568) ~ (all_0_30_30 = e3)
% 265.08/206.92 | (814) all_0_35_35 = e3
% 265.08/206.92 |
% 265.08/206.92 | Combining equations (814,1161) yields a new equation:
% 265.08/206.92 | (691) e4 = e3
% 265.08/206.92 |
% 265.08/206.92 | Equations (691) can reduce 277 to:
% 265.08/206.92 | (366) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (1409) ~ (all_0_20_20 = e1)
% 265.08/206.92 | (835) all_0_20_20 = e0
% 265.08/206.92 |
% 265.08/206.92 | Equations (835) can reduce 839 to:
% 265.08/206.92 | (366) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (1925) ~ (all_0_25_25 = e0)
% 265.08/206.92 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (1926), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (883) all_0_26_26 = e0
% 265.08/206.92 |
% 265.08/206.92 | Equations (883) can reduce 1058 to:
% 265.08/206.92 | (366) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (1058) ~ (all_0_26_26 = e0)
% 265.08/206.92 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (2527), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (546) all_0_27_27 = e0
% 265.08/206.92 |
% 265.08/206.92 | Combining equations (435,546) yields a new equation:
% 265.08/206.92 | (842) e4 = e0
% 265.08/206.92 |
% 265.08/206.92 | Simplifying 842 yields:
% 265.08/206.92 | (490) e4 = e0
% 265.08/206.92 |
% 265.08/206.92 | Equations (490) can reduce 287 to:
% 265.08/206.92 | (366) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (434) ~ (all_0_27_27 = e0)
% 265.08/206.92 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (2533), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (1044) all_0_28_28 = e0
% 265.08/206.92 |
% 265.08/206.92 | Equations (1044) can reduce 86 to:
% 265.08/206.92 | (1068) ~ (all_0_23_23 = e0)
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (3943), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (978) all_0_23_23 = e3
% 265.08/206.92 |
% 265.08/206.92 | Equations (978) can reduce 982 to:
% 265.08/206.92 | (366) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (982) ~ (all_0_23_23 = e3)
% 265.08/206.92 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (3947), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (1126) all_0_23_23 = e2
% 265.08/206.92 |
% 265.08/206.92 | From (1126) and (10550) follows:
% 265.08/206.92 | (812) op(e2, e4) = e1
% 265.08/206.92 |
% 265.08/206.92 | From (1126) and (10551) follows:
% 265.08/206.92 | (6582) op(e4, e2) = e3
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (6528), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (6609) ~ (op(e4, e2) = e3)
% 265.08/206.92 |
% 265.08/206.92 | Using (6582) and (6609) yields:
% 265.08/206.92 | (821) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (6582) op(e4, e2) = e3
% 265.08/206.92 | (1970) all_0_17_17 = e3
% 265.08/206.92 |
% 265.08/206.92 | Combining equations (1970,10607) yields a new equation:
% 265.08/206.92 | (9199) all_0_11_11 = e3
% 265.08/206.92 |
% 265.08/206.92 | Equations (1970) can reduce 333 to:
% 265.08/206.92 | (561) ~ (all_0_19_19 = e3)
% 265.08/206.92 |
% 265.08/206.92 | Simplifying 561 yields:
% 265.08/206.92 | (562) ~ (all_0_19_19 = e3)
% 265.08/206.92 |
% 265.08/206.92 | Equations (1970) can reduce 2422 to:
% 265.08/206.92 | (88) ~ (e3 = e0)
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (4311), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (927) all_0_19_19 = e3
% 265.08/206.92 |
% 265.08/206.92 | Equations (927) can reduce 562 to:
% 265.08/206.92 | (366) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (562) ~ (all_0_19_19 = e3)
% 265.08/206.92 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 265.08/206.92 |
% 265.08/206.92 +-Applying beta-rule and splitting (537), into two cases.
% 265.08/206.92 |-Branch one:
% 265.08/206.92 | (11616) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)
% 265.08/206.92 |
% 265.08/206.92 | Applying alpha-rule on (11616) yields:
% 265.08/206.92 | (10607) all_0_11_11 = all_0_17_17
% 265.08/206.92 | (558) ~ (all_0_17_17 = e3)
% 265.08/206.92 |
% 265.08/206.92 | Combining equations (10607,9199) yields a new equation:
% 265.08/206.92 | (12381) all_0_17_17 = e3
% 265.08/206.92 |
% 265.08/206.92 | Simplifying 12381 yields:
% 265.08/206.92 | (1970) all_0_17_17 = e3
% 265.08/206.92 |
% 265.08/206.92 | Equations (1970) can reduce 558 to:
% 265.08/206.92 | (366) $false
% 265.08/206.92 |
% 265.08/206.92 |-The branch is then unsatisfiable
% 265.08/206.92 |-Branch two:
% 265.08/206.92 | (12384) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 265.08/206.92 |
% 265.08/206.92 | Applying alpha-rule on (12384) yields:
% 265.08/206.92 | (10607) all_0_11_11 = all_0_17_17
% 265.08/206.92 | (12386) ( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 265.08/206.92 |
% 265.10/206.93 | Combining equations (10607,9199) yields a new equation:
% 265.10/206.93 | (12381) all_0_17_17 = e3
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 12381 yields:
% 265.10/206.93 | (1970) all_0_17_17 = e3
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (4315), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (663) all_0_19_19 = e2
% 265.10/206.93 |
% 265.10/206.93 | Equations (663) can reduce 2785 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (2785) ~ (all_0_19_19 = e2)
% 265.10/206.93 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (733), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (947) ~ (op(e2, e4) = e1)
% 265.10/206.93 |
% 265.10/206.93 | Using (812) and (947) yields:
% 265.10/206.93 | (821) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (812) op(e2, e4) = e1
% 265.10/206.93 | (950) all_0_25_25 = e1
% 265.10/206.93 |
% 265.10/206.93 | Equations (950) can reduce 95 to:
% 265.10/206.93 | (1409) ~ (all_0_20_20 = e1)
% 265.10/206.93 |
% 265.10/206.93 | Equations (950) can reduce 58 to:
% 265.10/206.93 | (3387) ~ (all_0_30_30 = e1)
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 3387 yields:
% 265.10/206.93 | (422) ~ (all_0_30_30 = e1)
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (308), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (1175) all_0_20_20 = e1
% 265.10/206.93 |
% 265.10/206.93 | Equations (1175) can reduce 1409 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (1409) ~ (all_0_20_20 = e1)
% 265.10/206.93 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (32), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (716) all_0_19_19 = e1
% 265.10/206.93 |
% 265.10/206.93 | Equations (716) can reduce 714 to:
% 265.10/206.93 | (477) ~ (e4 = e1)
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 477 yields:
% 265.10/206.93 | (65) ~ (e4 = e1)
% 265.10/206.93 |
% 265.10/206.93 | Equations (716) can reduce 562 to:
% 265.10/206.93 | (429) ~ (e3 = e1)
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 429 yields:
% 265.10/206.93 | (318) ~ (e3 = e1)
% 265.10/206.93 |
% 265.10/206.93 | Equations (716) can reduce 2785 to:
% 265.10/206.93 | (1002) ~ (e2 = e1)
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 1002 yields:
% 265.10/206.93 | (329) ~ (e2 = e1)
% 265.10/206.93 |
% 265.10/206.93 | From (716) and (11499) follows:
% 265.10/206.93 | (4831) op(e1, e4) = e0
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (4682), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (526) all_0_21_21 = e1
% 265.10/206.93 |
% 265.10/206.93 | Combining equations (526,453) yields a new equation:
% 265.10/206.93 | (706) e3 = e1
% 265.10/206.93 |
% 265.10/206.93 | Equations (706) can reduce 318 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (363) ~ (all_0_21_21 = e1)
% 265.10/206.93 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (4688), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (999) all_0_22_22 = e1
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (135), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (835) all_0_20_20 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (835) can reduce 564 to:
% 265.10/206.93 | (391) ~ (e3 = e0)
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 391 yields:
% 265.10/206.93 | (88) ~ (e3 = e0)
% 265.10/206.93 |
% 265.10/206.93 | From (835) and (5586) follows:
% 265.10/206.93 | (10466) op(e0, e0) = e3
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (222), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (823) all_0_17_17 = e0
% 265.10/206.93 |
% 265.10/206.93 | Combining equations (823,1970) yields a new equation:
% 265.10/206.93 | (980) e3 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (980) can reduce 88 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (2422) ~ (all_0_17_17 = e0)
% 265.10/206.93 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (1970) can reduce 2422 to:
% 265.10/206.93 | (88) ~ (e3 = e0)
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (10428), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (10467) ~ (op(e0, e0) = e3)
% 265.10/206.93 |
% 265.10/206.93 | Using (10466) and (10467) yields:
% 265.10/206.93 | (821) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (10466) op(e0, e0) = e3
% 265.10/206.93 | (980) e3 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (980) can reduce 88 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (839) ~ (all_0_20_20 = e0)
% 265.10/206.93 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (840), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (529) all_0_21_21 = e0
% 265.10/206.93 |
% 265.10/206.93 | Combining equations (529,453) yields a new equation:
% 265.10/206.93 | (980) e3 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (980) can reduce 88 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (398) ~ (all_0_21_21 = e0)
% 265.10/206.93 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (4342), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (4891) ~ (op(e1, e4) = e0)
% 265.10/206.93 |
% 265.10/206.93 | Using (4831) and (4891) yields:
% 265.10/206.93 | (821) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (4831) op(e1, e4) = e0
% 265.10/206.93 | (790) all_0_30_30 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (790) can reduce 509 to:
% 265.10/206.93 | (389) ~ (e4 = e0)
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 389 yields:
% 265.10/206.93 | (287) ~ (e4 = e0)
% 265.10/206.93 |
% 265.10/206.93 | Equations (790) can reduce 740 to:
% 265.10/206.93 | (393) ~ (e2 = e0)
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 393 yields:
% 265.10/206.93 | (347) ~ (e2 = e0)
% 265.10/206.93 |
% 265.10/206.93 | Equations (790) can reduce 422 to:
% 265.10/206.93 | (395) ~ (e1 = e0)
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 395 yields:
% 265.10/206.93 | (37) ~ (e1 = e0)
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (846), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (847) all_0_22_22 = e0
% 265.10/206.93 |
% 265.10/206.93 | Combining equations (847,999) yields a new equation:
% 265.10/206.93 | (961) e1 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (961) can reduce 37 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (826) ~ (all_0_22_22 = e0)
% 265.10/206.93 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (850), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (851) all_0_23_23 = e0
% 265.10/206.93 |
% 265.10/206.93 | Combining equations (1126,851) yields a new equation:
% 265.10/206.93 | (836) e2 = e0
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 836 yields:
% 265.10/206.93 | (551) e2 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (551) can reduce 347 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (1068) ~ (all_0_23_23 = e0)
% 265.10/206.93 | (1069) all_0_24_24 = e0
% 265.10/206.93 |
% 265.10/206.93 | Combining equations (685,1069) yields a new equation:
% 265.10/206.93 | (842) e4 = e0
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 842 yields:
% 265.10/206.93 | (490) e4 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (490) can reduce 287 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (1018) ~ (all_0_22_22 = e1)
% 265.10/206.93 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (5033), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (3952) all_0_23_23 = e1
% 265.10/206.93 |
% 265.10/206.93 | Combining equations (1126,3952) yields a new equation:
% 265.10/206.93 | (717) e2 = e1
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 717 yields:
% 265.10/206.93 | (718) e2 = e1
% 265.10/206.93 |
% 265.10/206.93 | Equations (718) can reduce 329 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (420) ~ (all_0_23_23 = e1)
% 265.10/206.93 | (940) all_0_24_24 = e1
% 265.10/206.93 |
% 265.10/206.93 | Combining equations (685,940) yields a new equation:
% 265.10/206.93 | (955) e4 = e1
% 265.10/206.93 |
% 265.10/206.93 | Simplifying 955 yields:
% 265.10/206.93 | (480) e4 = e1
% 265.10/206.93 |
% 265.10/206.93 | Equations (480) can reduce 65 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (720) ~ (all_0_19_19 = e1)
% 265.10/206.93 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (4319), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (716) all_0_19_19 = e1
% 265.10/206.93 |
% 265.10/206.93 | Equations (716) can reduce 720 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (720) ~ (all_0_19_19 = e1)
% 265.10/206.93 | (2703) all_0_19_19 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (2703) can reduce 381 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (810) ~ (all_0_23_23 = e2)
% 265.10/206.93 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 265.10/206.93 |
% 265.10/206.93 +-Applying beta-rule and splitting (3951), into two cases.
% 265.10/206.93 |-Branch one:
% 265.10/206.93 | (3952) all_0_23_23 = e1
% 265.10/206.93 |
% 265.10/206.93 | Equations (3952) can reduce 420 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (420) ~ (all_0_23_23 = e1)
% 265.10/206.93 | (851) all_0_23_23 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (851) can reduce 1068 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.93 |-Branch two:
% 265.10/206.93 | (886) ~ (all_0_28_28 = e0)
% 265.10/206.93 | (2537) all_0_29_29 = e0
% 265.10/206.93 |
% 265.10/206.93 | Equations (2537) can reduce 383 to:
% 265.10/206.93 | (366) $false
% 265.10/206.93 |
% 265.10/206.93 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (824) ~ (all_0_16_16 = e0)
% 265.10/206.94 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (270), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (701) all_0_16_16 = e4
% 265.10/206.94 |
% 265.10/206.94 | Equations (701) can reduce 573 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (573) ~ (all_0_16_16 = e4)
% 265.10/206.94 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (334), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (483) all_0_15_15 = e0
% 265.10/206.94 |
% 265.10/206.94 | Combining equations (483,472) yields a new equation:
% 265.10/206.94 | (551) e2 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (551) can reduce 347 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (463) ~ (all_0_15_15 = e0)
% 265.10/206.94 | (2584) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (704), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (1287) all_0_16_16 = e3
% 265.10/206.94 |
% 265.10/206.94 | Equations (1287) can reduce 458 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (458) ~ (all_0_16_16 = e3)
% 265.10/206.94 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (1290), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (697) all_0_16_16 = e2
% 265.10/206.94 |
% 265.10/206.94 | Equations (697) can reduce 664 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (664) ~ (all_0_16_16 = e2)
% 265.10/206.94 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (2584), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (873) all_0_16_16 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (873) can reduce 824 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (824) ~ (all_0_16_16 = e0)
% 265.10/206.94 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (2692), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (823) all_0_17_17 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (823) can reduce 169 to:
% 265.10/206.94 | (824) ~ (all_0_16_16 = e0)
% 265.10/206.94 |
% 265.10/206.94 | Equations (823) can reduce 286 to:
% 265.10/206.94 | (2961) ~ (all_0_32_32 = e0)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 2961 yields:
% 265.10/206.94 | (1946) ~ (all_0_32_32 = e0)
% 265.10/206.94 |
% 265.10/206.94 | Equations (823) can reduce 869 to:
% 265.10/206.94 | (389) ~ (e4 = e0)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 389 yields:
% 265.10/206.94 | (287) ~ (e4 = e0)
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (127), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (790) all_0_30_30 = e0
% 265.10/206.94 |
% 265.10/206.94 | From (790) and (12210) follows:
% 265.10/206.94 | (4339) op(e4, e0) = e1
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (1377), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (921) all_0_16_16 = e1
% 265.10/206.94 |
% 265.10/206.94 | Equations (921) can reduce 236 to:
% 265.10/206.94 | (5458) ~ (all_0_19_19 = e1)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 5458 yields:
% 265.10/206.94 | (720) ~ (all_0_19_19 = e1)
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (32), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (716) all_0_19_19 = e1
% 265.10/206.94 |
% 265.10/206.94 | Equations (716) can reduce 720 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (720) ~ (all_0_19_19 = e1)
% 265.10/206.94 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (12253), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (12790) ~ (op(e4, e0) = e1)
% 265.10/206.94 |
% 265.10/206.94 | Using (4339) and (12790) yields:
% 265.10/206.94 | (821) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (4339) op(e4, e0) = e1
% 265.10/206.94 | (716) all_0_19_19 = e1
% 265.10/206.94 |
% 265.10/206.94 | Equations (716) can reduce 720 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (985) ~ (all_0_16_16 = e1)
% 265.10/206.94 | (873) all_0_16_16 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (873) can reduce 824 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (1878) ~ (all_0_30_30 = e0)
% 265.10/206.94 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (1879), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (1060) all_0_31_31 = e0
% 265.10/206.94 |
% 265.10/206.94 | Combining equations (1446,1060) yields a new equation:
% 265.10/206.94 | (842) e4 = e0
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 842 yields:
% 265.10/206.94 | (490) e4 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (490) can reduce 287 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (1064) ~ (all_0_31_31 = e0)
% 265.10/206.94 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (1883), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (1626) all_0_32_32 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (1626) can reduce 1946 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (1946) ~ (all_0_32_32 = e0)
% 265.10/206.94 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (1947), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (1254) all_0_33_33 = e0
% 265.10/206.94 |
% 265.10/206.94 | Combining equations (1254,418) yields a new equation:
% 265.10/206.94 | (961) e1 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (961) can reduce 37 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (399) ~ (all_0_33_33 = e0)
% 265.10/206.94 | (1717) all_0_34_34 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (1717) can reduce 384 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (2422) ~ (all_0_17_17 = e0)
% 265.10/206.94 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (876), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (529) all_0_21_21 = e0
% 265.10/206.94 |
% 265.10/206.94 | Combining equations (453,529) yields a new equation:
% 265.10/206.94 | (979) e3 = e0
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 979 yields:
% 265.10/206.94 | (980) e3 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (980) can reduce 88 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (398) ~ (all_0_21_21 = e0)
% 265.10/206.94 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (882), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (883) all_0_26_26 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (883) can reduce 582 to:
% 265.10/206.94 | (389) ~ (e4 = e0)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 389 yields:
% 265.10/206.94 | (287) ~ (e4 = e0)
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (2697), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (1153) all_0_18_18 = e0
% 265.10/206.94 |
% 265.10/206.94 | Combining equations (1153,887) yields a new equation:
% 265.10/206.94 | (490) e4 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (490) can reduce 287 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (1156) ~ (all_0_18_18 = e0)
% 265.10/206.94 | (2703) all_0_19_19 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (2703) can reduce 381 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (1058) ~ (all_0_26_26 = e0)
% 265.10/206.94 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (1059), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (1060) all_0_31_31 = e0
% 265.10/206.94 |
% 265.10/206.94 | Combining equations (1446,1060) yields a new equation:
% 265.10/206.94 | (842) e4 = e0
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 842 yields:
% 265.10/206.94 | (490) e4 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (490) can reduce 287 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (1064) ~ (all_0_31_31 = e0)
% 265.10/206.94 | (1065) all_0_36_36 = e0
% 265.10/206.94 |
% 265.10/206.94 | Equations (1065) can reduce 386 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (584) ~ (all_0_31_31 = e4)
% 265.10/206.94 | (2611) all_0_36_36 = e4
% 265.10/206.94 |
% 265.10/206.94 | Equations (2611) can reduce 586 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.94 | (711) all_0_19_19 = e4
% 265.10/206.94 |
% 265.10/206.94 | Equations (711) can reduce 714 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (514) ~ (all_0_35_35 = e4)
% 265.10/206.94 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (8), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (464) all_0_15_15 = e4
% 265.10/206.94 |
% 265.10/206.94 | Combining equations (464,472) yields a new equation:
% 265.10/206.94 | (1111) e4 = e2
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 1111 yields:
% 265.10/206.94 | (539) e4 = e2
% 265.10/206.94 |
% 265.10/206.94 | Equations (539) can reduce 19 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (460) ~ (all_0_15_15 = e4)
% 265.10/206.94 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 265.10/206.94 |
% 265.10/206.94 | Equations (472) can reduce 460 to:
% 265.10/206.94 | (444) ~ (e4 = e2)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 444 yields:
% 265.10/206.94 | (19) ~ (e4 = e2)
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (165), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (1161) all_0_35_35 = e4
% 265.10/206.94 |
% 265.10/206.94 | Equations (1161) can reduce 514 to:
% 265.10/206.94 | (366) $false
% 265.10/206.94 |
% 265.10/206.94 |-The branch is then unsatisfiable
% 265.10/206.94 |-Branch two:
% 265.10/206.94 | (514) ~ (all_0_35_35 = e4)
% 265.10/206.94 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 265.10/206.94 |
% 265.10/206.94 +-Applying beta-rule and splitting (230), into two cases.
% 265.10/206.94 |-Branch one:
% 265.10/206.94 | (927) all_0_19_19 = e3
% 265.10/206.94 |
% 265.10/206.94 | Equations (927) can reduce 333 to:
% 265.10/206.94 | (558) ~ (all_0_17_17 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Equations (927) can reduce 337 to:
% 265.10/206.94 | (560) ~ (all_0_18_18 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Equations (927) can reduce 87 to:
% 265.10/206.94 | (3506) ~ (all_0_24_24 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 3506 yields:
% 265.10/206.94 | (963) ~ (all_0_24_24 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Equations (927) can reduce 229 to:
% 265.10/206.94 | (897) ~ (all_0_29_29 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 897 yields:
% 265.10/206.94 | (898) ~ (all_0_29_29 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Equations (927) can reduce 280 to:
% 265.10/206.94 | (2981) ~ (all_0_34_34 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 2981 yields:
% 265.10/206.94 | (1031) ~ (all_0_34_34 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Equations (927) can reduce 714 to:
% 265.10/206.94 | (695) ~ (e4 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Simplifying 695 yields:
% 265.10/206.94 | (277) ~ (e4 = e3)
% 265.10/206.94 |
% 265.10/206.94 | Equations (927) can reduce 2785 to:
% 265.10/206.94 | (56) ~ (e3 = e2)
% 265.10/206.94 |
% 265.10/206.94 | Equations (927) can reduce 381 to:
% 265.10/206.94 | (88) ~ (e3 = e0)
% 265.10/206.94 |
% 265.10/206.94 | From (927) and (332) follows:
% 265.10/206.94 | (12875) op(e3, all_0_35_35) = e0
% 265.10/206.94 |
% 265.10/206.94 | From (927) and (24) follows:
% 265.10/206.94 | (12876) op(all_0_35_35, e3) = e4
% 265.10/206.94 |
% 265.10/206.94 | From (927) and (67) follows:
% 265.10/206.94 | (7131) op(e4, e0) = e3
% 265.10/206.94 |
% 265.10/206.95 +-Applying beta-rule and splitting (10315), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (11616) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Applying alpha-rule on (11616) yields:
% 265.10/206.95 | (10607) all_0_11_11 = all_0_17_17
% 265.10/206.95 | (558) ~ (all_0_17_17 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Instantiating formula (97) with e1, e3, e4, all_0_31_31 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 265.10/206.95 | (12881) all_0_31_31 = e4 | ~ (op(e1, e3) = e4)
% 265.10/206.95 |
% 265.10/206.95 | Instantiating formula (97) with e3, e3, e0, e3 and discharging atoms op(e3, e3) = e3, yields:
% 265.10/206.95 | (10001) e3 = e0 | ~ (op(e3, e3) = e0)
% 265.10/206.95 |
% 265.10/206.95 | Instantiating formula (97) with e3, e1, e0, all_0_23_23 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 265.10/206.95 | (12883) all_0_23_23 = e0 | ~ (op(e3, e1) = e0)
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (269), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (1134) all_0_18_18 = e3
% 265.10/206.95 |
% 265.10/206.95 | Equations (1134) can reduce 560 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (560) ~ (all_0_18_18 = e3)
% 265.10/206.95 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (168), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (2438) all_0_25_25 = e3
% 265.10/206.95 |
% 265.10/206.95 | Equations (2438) can reduce 193 to:
% 265.10/206.95 | (7575) ~ (all_0_28_28 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Simplifying 7575 yields:
% 265.10/206.95 | (1035) ~ (all_0_28_28 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Equations (2438) can reduce 58 to:
% 265.10/206.95 | (567) ~ (all_0_30_30 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Simplifying 567 yields:
% 265.10/206.95 | (568) ~ (all_0_30_30 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Equations (2438) can reduce 98 to:
% 265.10/206.95 | (569) ~ (all_0_35_35 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Simplifying 569 yields:
% 265.10/206.95 | (570) ~ (all_0_35_35 = e3)
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (155), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (759) all_0_30_30 = e3
% 265.10/206.95 |
% 265.10/206.95 | Equations (759) can reduce 568 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (568) ~ (all_0_30_30 = e3)
% 265.10/206.95 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (1181), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (814) all_0_35_35 = e3
% 265.10/206.95 |
% 265.10/206.95 | Equations (814) can reduce 570 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (570) ~ (all_0_35_35 = e3)
% 265.10/206.95 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (1137), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (978) all_0_23_23 = e3
% 265.10/206.95 |
% 265.10/206.95 | Equations (978) can reduce 982 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (982) ~ (all_0_23_23 = e3)
% 265.10/206.95 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (1185), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (797) all_0_35_35 = e2
% 265.10/206.95 |
% 265.10/206.95 | Equations (797) can reduce 742 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (742) ~ (all_0_35_35 = e2)
% 265.10/206.95 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (3084), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (896) all_0_28_28 = e3
% 265.10/206.95 |
% 265.10/206.95 | Equations (896) can reduce 1035 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (1035) ~ (all_0_28_28 = e3)
% 265.10/206.95 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (3089), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (410) all_0_33_33 = e3
% 265.10/206.95 |
% 265.10/206.95 | Combining equations (418,410) yields a new equation:
% 265.10/206.95 | (706) e3 = e1
% 265.10/206.95 |
% 265.10/206.95 | Equations (706) can reduce 318 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (403) ~ (all_0_33_33 = e3)
% 265.10/206.95 | (1077) all_0_38_38 = e3
% 265.10/206.95 |
% 265.10/206.95 | Equations (1077) can reduce 142 to:
% 265.10/206.95 | (560) ~ (all_0_18_18 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Equations (1077) can reduce 173 to:
% 265.10/206.95 | (570) ~ (all_0_35_35 = e3)
% 265.10/206.95 |
% 265.10/206.95 | Equations (1077) can reduce 354 to:
% 265.10/206.95 | (777) ~ (all_0_37_37 = e3)
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (1195), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (1196) all_0_35_35 = e1
% 265.10/206.95 |
% 265.10/206.95 | Equations (1196) can reduce 570 to:
% 265.10/206.95 | (429) ~ (e3 = e1)
% 265.10/206.95 |
% 265.10/206.95 | Simplifying 429 yields:
% 265.10/206.95 | (318) ~ (e3 = e1)
% 265.10/206.95 |
% 265.10/206.95 | From (1196) and (12876) follows:
% 265.10/206.95 | (12926) op(e1, e3) = e4
% 265.10/206.95 |
% 265.10/206.95 | From (1196) and (12875) follows:
% 265.10/206.95 | (12927) op(e3, e1) = e0
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (762), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (763) all_0_31_31 = e3
% 265.10/206.95 |
% 265.10/206.95 | Equations (763) can reduce 510 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (510) ~ (all_0_31_31 = e3)
% 265.10/206.95 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (12881), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (12932) ~ (op(e1, e3) = e4)
% 265.10/206.95 |
% 265.10/206.95 | Using (12926) and (12932) yields:
% 265.10/206.95 | (821) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (12926) op(e1, e3) = e4
% 265.10/206.95 | (1446) all_0_31_31 = e4
% 265.10/206.95 |
% 265.10/206.95 | Equations (1446) can reduce 217 to:
% 265.10/206.95 | (509) ~ (all_0_30_30 = e4)
% 265.10/206.95 |
% 265.10/206.95 | Equations (1446) can reduce 247 to:
% 265.10/206.95 | (1495) ~ (all_0_32_32 = e4)
% 265.10/206.95 |
% 265.10/206.95 | Simplifying 1495 yields:
% 265.10/206.95 | (727) ~ (all_0_32_32 = e4)
% 265.10/206.95 |
% 265.10/206.95 | Equations (1446) can reduce 188 to:
% 265.10/206.95 | (2206) ~ (all_0_34_34 = e4)
% 265.10/206.95 |
% 265.10/206.95 | Simplifying 2206 yields:
% 265.10/206.95 | (1395) ~ (all_0_34_34 = e4)
% 265.10/206.95 |
% 265.10/206.95 | Equations (1446) can reduce 423 to:
% 265.10/206.95 | (65) ~ (e4 = e1)
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (12883), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (12942) ~ (op(e3, e1) = e0)
% 265.10/206.95 |
% 265.10/206.95 | Using (12927) and (12942) yields:
% 265.10/206.95 | (821) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (12927) op(e3, e1) = e0
% 265.10/206.95 | (851) all_0_23_23 = e0
% 265.10/206.95 |
% 265.10/206.95 | Equations (851) can reduce 110 to:
% 265.10/206.95 | (1156) ~ (all_0_18_18 = e0)
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (231), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (1453) all_0_20_20 = e4
% 265.10/206.95 |
% 265.10/206.95 | Equations (1453) can reduce 167 to:
% 265.10/206.95 | (579) ~ (all_0_24_24 = e4)
% 265.10/206.95 |
% 265.10/206.95 | Simplifying 579 yields:
% 265.10/206.95 | (580) ~ (all_0_24_24 = e4)
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (36), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (887) all_0_18_18 = e4
% 265.10/206.95 |
% 265.10/206.95 | Equations (887) can reduce 1156 to:
% 265.10/206.95 | (287) ~ (e4 = e0)
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (715), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (685) all_0_24_24 = e4
% 265.10/206.95 |
% 265.10/206.95 | Equations (685) can reduce 580 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (580) ~ (all_0_24_24 = e4)
% 265.10/206.95 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (1400), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (1250) all_0_29_29 = e4
% 265.10/206.95 |
% 265.10/206.95 | Equations (1250) can reduce 724 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (724) ~ (all_0_29_29 = e4)
% 265.10/206.95 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (83), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (723) all_0_34_34 = e4
% 265.10/206.95 |
% 265.10/206.95 | Equations (723) can reduce 1395 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (1395) ~ (all_0_34_34 = e4)
% 265.10/206.95 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (1735), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (723) all_0_34_34 = e4
% 265.10/206.95 |
% 265.10/206.95 | Equations (723) can reduce 1395 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (1395) ~ (all_0_34_34 = e4)
% 265.10/206.95 | (365) all_0_39_39 = e4
% 265.10/206.95 |
% 265.10/206.95 | Combining equations (365,380) yields a new equation:
% 265.10/206.95 | (842) e4 = e0
% 265.10/206.95 |
% 265.10/206.95 | Simplifying 842 yields:
% 265.10/206.95 | (490) e4 = e0
% 265.10/206.95 |
% 265.10/206.95 | Equations (490) can reduce 287 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.95 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 265.10/206.95 |
% 265.10/206.95 +-Applying beta-rule and splitting (26), into two cases.
% 265.10/206.95 |-Branch one:
% 265.10/206.95 | (887) all_0_18_18 = e4
% 265.10/206.95 |
% 265.10/206.95 | Equations (887) can reduce 1046 to:
% 265.10/206.95 | (366) $false
% 265.10/206.95 |
% 265.10/206.95 |-The branch is then unsatisfiable
% 265.10/206.95 |-Branch two:
% 265.10/206.95 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.96 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1047), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (1134) all_0_18_18 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (1134) can reduce 560 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (560) ~ (all_0_18_18 = e3)
% 265.10/206.96 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1270), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (1274) all_0_18_18 = e2
% 265.10/206.96 |
% 265.10/206.96 | Equations (1274) can reduce 666 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (666) ~ (all_0_18_18 = e2)
% 265.10/206.96 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1277), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (1278) all_0_18_18 = e1
% 265.10/206.96 |
% 265.10/206.96 | Equations (1278) can reduce 419 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (419) ~ (all_0_18_18 = e1)
% 265.10/206.96 | (1153) all_0_18_18 = e0
% 265.10/206.96 |
% 265.10/206.96 | Equations (1153) can reduce 1156 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (496) ~ (all_0_20_20 = e4)
% 265.10/206.96 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (36), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (887) all_0_18_18 = e4
% 265.10/206.96 |
% 265.10/206.96 | Equations (887) can reduce 560 to:
% 265.10/206.96 | (277) ~ (e4 = e3)
% 265.10/206.96 |
% 265.10/206.96 | Equations (887) can reduce 419 to:
% 265.10/206.96 | (65) ~ (e4 = e1)
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (767), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (772) all_0_32_32 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (772) can reduce 727 to:
% 265.10/206.96 | (695) ~ (e4 = e3)
% 265.10/206.96 |
% 265.10/206.96 | Simplifying 695 yields:
% 265.10/206.96 | (277) ~ (e4 = e3)
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (239), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (768) all_0_30_30 = e4
% 265.10/206.96 |
% 265.10/206.96 | Equations (768) can reduce 509 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (509) ~ (all_0_30_30 = e4)
% 265.10/206.96 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (914), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (1453) all_0_20_20 = e4
% 265.10/206.96 |
% 265.10/206.96 | Equations (1453) can reduce 496 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (496) ~ (all_0_20_20 = e4)
% 265.10/206.96 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1456), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (1158) all_0_25_25 = e4
% 265.10/206.96 |
% 265.10/206.96 | Combining equations (2438,1158) yields a new equation:
% 265.10/206.96 | (691) e4 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (691) can reduce 277 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (501) ~ (all_0_25_25 = e4)
% 265.10/206.96 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1460), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (768) all_0_30_30 = e4
% 265.10/206.96 |
% 265.10/206.96 | Equations (768) can reduce 509 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (509) ~ (all_0_30_30 = e4)
% 265.10/206.96 | (1161) all_0_35_35 = e4
% 265.10/206.96 |
% 265.10/206.96 | Combining equations (1196,1161) yields a new equation:
% 265.10/206.96 | (480) e4 = e1
% 265.10/206.96 |
% 265.10/206.96 | Equations (480) can reduce 65 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (1089) ~ (all_0_32_32 = e3)
% 265.10/206.96 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (232), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (1970) all_0_17_17 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (1970) can reduce 558 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (558) ~ (all_0_17_17 = e3)
% 265.10/206.96 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1973), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (857) all_0_22_22 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (857) can reduce 774 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (774) ~ (all_0_22_22 = e3)
% 265.10/206.96 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (3115), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (439) all_0_27_27 = e3
% 265.10/206.96 |
% 265.10/206.96 | Combining equations (439,435) yields a new equation:
% 265.10/206.96 | (691) e4 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (691) can reduce 277 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (400) ~ (all_0_27_27 = e3)
% 265.10/206.96 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (3120), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (772) all_0_32_32 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (772) can reduce 1089 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (1089) ~ (all_0_32_32 = e3)
% 265.10/206.96 | (1073) all_0_37_37 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (1073) can reduce 777 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.96 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (767), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (772) all_0_32_32 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (772) can reduce 727 to:
% 265.10/206.96 | (695) ~ (e4 = e3)
% 265.10/206.96 |
% 265.10/206.96 | Simplifying 695 yields:
% 265.10/206.96 | (277) ~ (e4 = e3)
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (338), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (892) all_0_28_28 = e4
% 265.10/206.96 |
% 265.10/206.96 | Equations (892) can reduce 890 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (890) ~ (all_0_28_28 = e4)
% 265.10/206.96 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1051), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (1515) all_0_23_23 = e4
% 265.10/206.96 |
% 265.10/206.96 | Combining equations (1515,851) yields a new equation:
% 265.10/206.96 | (842) e4 = e0
% 265.10/206.96 |
% 265.10/206.96 | Simplifying 842 yields:
% 265.10/206.96 | (490) e4 = e0
% 265.10/206.96 |
% 265.10/206.96 | Equations (490) can reduce 287 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (578) ~ (all_0_23_23 = e4)
% 265.10/206.96 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1518), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (892) all_0_28_28 = e4
% 265.10/206.96 |
% 265.10/206.96 | Equations (892) can reduce 890 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (890) ~ (all_0_28_28 = e4)
% 265.10/206.96 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1522), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (406) all_0_33_33 = e4
% 265.10/206.96 |
% 265.10/206.96 | Combining equations (418,406) yields a new equation:
% 265.10/206.96 | (480) e4 = e1
% 265.10/206.96 |
% 265.10/206.96 | Equations (480) can reduce 65 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (405) ~ (all_0_33_33 = e4)
% 265.10/206.96 | (1165) all_0_38_38 = e4
% 265.10/206.96 |
% 265.10/206.96 | Combining equations (1077,1165) yields a new equation:
% 265.10/206.96 | (691) e4 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (691) can reduce 277 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (1089) ~ (all_0_32_32 = e3)
% 265.10/206.96 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1090), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (410) all_0_33_33 = e3
% 265.10/206.96 |
% 265.10/206.96 | Combining equations (418,410) yields a new equation:
% 265.10/206.96 | (706) e3 = e1
% 265.10/206.96 |
% 265.10/206.96 | Equations (706) can reduce 318 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (403) ~ (all_0_33_33 = e3)
% 265.10/206.96 | (1027) all_0_34_34 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (1027) can reduce 1031 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (1177) ~ (all_0_35_35 = e1)
% 265.10/206.96 | (1203) all_0_35_35 = e0
% 265.10/206.96 |
% 265.10/206.96 | Equations (1203) can reduce 385 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (566) ~ (all_0_25_25 = e3)
% 265.10/206.96 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (2442), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (2443) all_0_26_26 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (2443) can reduce 504 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (504) ~ (all_0_26_26 = e3)
% 265.10/206.96 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (2448), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (439) all_0_27_27 = e3
% 265.10/206.96 |
% 265.10/206.96 | Combining equations (439,435) yields a new equation:
% 265.10/206.96 | (691) e4 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (691) can reduce 277 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (400) ~ (all_0_27_27 = e3)
% 265.10/206.96 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (2453), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (896) all_0_28_28 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (896) can reduce 198 to:
% 265.10/206.96 | (2070) ~ (all_0_38_38 = e3)
% 265.10/206.96 |
% 265.10/206.96 | Simplifying 2070 yields:
% 265.10/206.96 | (1080) ~ (all_0_38_38 = e3)
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (164), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (814) all_0_35_35 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (814) can reduce 385 to:
% 265.10/206.96 | (88) ~ (e3 = e0)
% 265.10/206.96 |
% 265.10/206.96 | From (814) and (12875) follows:
% 265.10/206.96 | (10049) op(e3, e3) = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (10001), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (10062) ~ (op(e3, e3) = e0)
% 265.10/206.96 |
% 265.10/206.96 | Using (10049) and (10062) yields:
% 265.10/206.96 | (821) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (10049) op(e3, e3) = e0
% 265.10/206.96 | (980) e3 = e0
% 265.10/206.96 |
% 265.10/206.96 | Equations (980) can reduce 88 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (570) ~ (all_0_35_35 = e3)
% 265.10/206.96 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1181), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (814) all_0_35_35 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (814) can reduce 570 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (570) ~ (all_0_35_35 = e3)
% 265.10/206.96 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (817), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (818) all_0_36_36 = e3
% 265.10/206.96 |
% 265.10/206.96 | Equations (818) can reduce 516 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (516) ~ (all_0_36_36 = e3)
% 265.10/206.96 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1185), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (797) all_0_35_35 = e2
% 265.10/206.96 |
% 265.10/206.96 | Equations (797) can reduce 742 to:
% 265.10/206.96 | (366) $false
% 265.10/206.96 |
% 265.10/206.96 |-The branch is then unsatisfiable
% 265.10/206.96 |-Branch two:
% 265.10/206.96 | (742) ~ (all_0_35_35 = e2)
% 265.10/206.96 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (1195), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (1196) all_0_35_35 = e1
% 265.10/206.96 |
% 265.10/206.96 | Equations (1196) can reduce 273 to:
% 265.10/206.96 | (2547) ~ (all_0_36_36 = e1)
% 265.10/206.96 |
% 265.10/206.96 | Simplifying 2547 yields:
% 265.10/206.96 | (1593) ~ (all_0_36_36 = e1)
% 265.10/206.96 |
% 265.10/206.96 | Equations (1196) can reduce 173 to:
% 265.10/206.96 | (427) ~ (all_0_38_38 = e1)
% 265.10/206.96 |
% 265.10/206.96 | Simplifying 427 yields:
% 265.10/206.96 | (428) ~ (all_0_38_38 = e1)
% 265.10/206.96 |
% 265.10/206.96 | From (1196) and (12876) follows:
% 265.10/206.96 | (12926) op(e1, e3) = e4
% 265.10/206.96 |
% 265.10/206.96 +-Applying beta-rule and splitting (12881), into two cases.
% 265.10/206.96 |-Branch one:
% 265.10/206.96 | (12932) ~ (op(e1, e3) = e4)
% 265.10/206.96 |
% 265.10/206.97 | Using (12926) and (12932) yields:
% 265.10/206.97 | (821) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (12926) op(e1, e3) = e4
% 265.10/206.97 | (1446) all_0_31_31 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (1446) can reduce 10 to:
% 265.10/206.97 | (573) ~ (all_0_16_16 = e4)
% 265.10/206.97 |
% 265.10/206.97 | Equations (1446) can reduce 7 to:
% 265.10/206.97 | (585) ~ (all_0_36_36 = e4)
% 265.10/206.97 |
% 265.10/206.97 | Simplifying 585 yields:
% 265.10/206.97 | (586) ~ (all_0_36_36 = e4)
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (187), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (2611) all_0_36_36 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (2611) can reduce 586 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (586) ~ (all_0_36_36 = e4)
% 265.10/206.97 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (694), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (701) all_0_16_16 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (701) can reduce 573 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (573) ~ (all_0_16_16 = e4)
% 265.10/206.97 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (2614), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (818) all_0_36_36 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (818) can reduce 516 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (516) ~ (all_0_36_36 = e3)
% 265.10/206.97 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (3567), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (801) all_0_36_36 = e2
% 265.10/206.97 |
% 265.10/206.97 | Equations (801) can reduce 93 to:
% 265.10/206.97 | (1130) ~ (all_0_38_38 = e2)
% 265.10/206.97 |
% 265.10/206.97 | Simplifying 1130 yields:
% 265.10/206.97 | (1084) ~ (all_0_38_38 = e2)
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (358), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (1165) all_0_38_38 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (1165) can reduce 142 to:
% 265.10/206.97 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.97 |
% 265.10/206.97 | Equations (1165) can reduce 1080 to:
% 265.10/206.97 | (277) ~ (e4 = e3)
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (26), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (887) all_0_18_18 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (887) can reduce 1046 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.97 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (240), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (865) all_0_17_17 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (865) can reduce 869 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (869) ~ (all_0_17_17 = e4)
% 265.10/206.97 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (864), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (865) all_0_17_17 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (865) can reduce 869 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (869) ~ (all_0_17_17 = e4)
% 265.10/206.97 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (870), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (887) all_0_18_18 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (887) can reduce 1046 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.97 | (711) all_0_19_19 = e4
% 265.10/206.97 |
% 265.10/206.97 | Combining equations (927,711) yields a new equation:
% 265.10/206.97 | (691) e4 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (691) can reduce 277 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1143) ~ (all_0_38_38 = e4)
% 265.10/206.97 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1168), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (1077) all_0_38_38 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (1077) can reduce 1080 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1080) ~ (all_0_38_38 = e3)
% 265.10/206.97 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1206), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (809) all_0_38_38 = e2
% 265.10/206.97 |
% 265.10/206.97 | Equations (809) can reduce 1084 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1084) ~ (all_0_38_38 = e2)
% 265.10/206.97 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1210), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (1211) all_0_38_38 = e1
% 265.10/206.97 |
% 265.10/206.97 | Equations (1211) can reduce 428 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (428) ~ (all_0_38_38 = e1)
% 265.10/206.97 | (1214) all_0_38_38 = e0
% 265.10/206.97 |
% 265.10/206.97 | Equations (1214) can reduce 388 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (756) ~ (all_0_36_36 = e2)
% 265.10/206.97 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (3571), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (1015) all_0_36_36 = e1
% 265.10/206.97 |
% 265.10/206.97 | Equations (1015) can reduce 1593 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1593) ~ (all_0_36_36 = e1)
% 265.10/206.97 | (1065) all_0_36_36 = e0
% 265.10/206.97 |
% 265.10/206.97 | Equations (1065) can reduce 386 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1177) ~ (all_0_35_35 = e1)
% 265.10/206.97 | (1203) all_0_35_35 = e0
% 265.10/206.97 |
% 265.10/206.97 | Equations (1203) can reduce 385 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1035) ~ (all_0_28_28 = e3)
% 265.10/206.97 | (1023) all_0_29_29 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (1023) can reduce 898 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (11833) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 265.10/206.97 |
% 265.10/206.97 | Applying alpha-rule on (11833) yields:
% 265.10/206.97 | (10607) all_0_11_11 = all_0_17_17
% 265.10/206.97 | (11835) ( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 265.10/206.97 |
% 265.10/206.97 | Instantiating formula (97) with e1, e3, e4, all_0_31_31 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 265.10/206.97 | (12881) all_0_31_31 = e4 | ~ (op(e1, e3) = e4)
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (269), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (1134) all_0_18_18 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (1134) can reduce 560 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (560) ~ (all_0_18_18 = e3)
% 265.10/206.97 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (168), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (2438) all_0_25_25 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (2438) can reduce 193 to:
% 265.10/206.97 | (7575) ~ (all_0_28_28 = e3)
% 265.10/206.97 |
% 265.10/206.97 | Simplifying 7575 yields:
% 265.10/206.97 | (1035) ~ (all_0_28_28 = e3)
% 265.10/206.97 |
% 265.10/206.97 | Equations (2438) can reduce 501 to:
% 265.10/206.97 | (695) ~ (e4 = e3)
% 265.10/206.97 |
% 265.10/206.97 | Simplifying 695 yields:
% 265.10/206.97 | (277) ~ (e4 = e3)
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1137), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (978) all_0_23_23 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (978) can reduce 982 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (982) ~ (all_0_23_23 = e3)
% 265.10/206.97 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (3084), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (896) all_0_28_28 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (896) can reduce 1035 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (1035) ~ (all_0_28_28 = e3)
% 265.10/206.97 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (3089), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (410) all_0_33_33 = e3
% 265.10/206.97 |
% 265.10/206.97 | Combining equations (418,410) yields a new equation:
% 265.10/206.97 | (706) e3 = e1
% 265.10/206.97 |
% 265.10/206.97 | Equations (706) can reduce 318 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (403) ~ (all_0_33_33 = e3)
% 265.10/206.97 | (1077) all_0_38_38 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (1077) can reduce 173 to:
% 265.10/206.97 | (570) ~ (all_0_35_35 = e3)
% 265.10/206.97 |
% 265.10/206.97 | Equations (1077) can reduce 354 to:
% 265.10/206.97 | (777) ~ (all_0_37_37 = e3)
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (232), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (1970) all_0_17_17 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (1970) can reduce 558 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (558) ~ (all_0_17_17 = e3)
% 265.10/206.97 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1973), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (857) all_0_22_22 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (857) can reduce 774 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (774) ~ (all_0_22_22 = e3)
% 265.10/206.97 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (3115), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (439) all_0_27_27 = e3
% 265.10/206.97 |
% 265.10/206.97 | Combining equations (435,439) yields a new equation:
% 265.10/206.97 | (690) e4 = e3
% 265.10/206.97 |
% 265.10/206.97 | Simplifying 690 yields:
% 265.10/206.97 | (691) e4 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (691) can reduce 277 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (400) ~ (all_0_27_27 = e3)
% 265.10/206.97 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (3120), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (772) all_0_32_32 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (772) can reduce 727 to:
% 265.10/206.97 | (695) ~ (e4 = e3)
% 265.10/206.97 |
% 265.10/206.97 | Simplifying 695 yields:
% 265.10/206.97 | (277) ~ (e4 = e3)
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1164), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (2611) all_0_36_36 = e4
% 265.10/206.97 |
% 265.10/206.97 | Equations (2611) can reduce 7 to:
% 265.10/206.97 | (584) ~ (all_0_31_31 = e4)
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1181), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (814) all_0_35_35 = e3
% 265.10/206.97 |
% 265.10/206.97 | Equations (814) can reduce 570 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (570) ~ (all_0_35_35 = e3)
% 265.10/206.97 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (214), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (797) all_0_35_35 = e2
% 265.10/206.97 |
% 265.10/206.97 | Equations (797) can reduce 742 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (742) ~ (all_0_35_35 = e2)
% 265.10/206.97 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1185), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (797) all_0_35_35 = e2
% 265.10/206.97 |
% 265.10/206.97 | Equations (797) can reduce 742 to:
% 265.10/206.97 | (366) $false
% 265.10/206.97 |
% 265.10/206.97 |-The branch is then unsatisfiable
% 265.10/206.97 |-Branch two:
% 265.10/206.97 | (742) ~ (all_0_35_35 = e2)
% 265.10/206.97 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (1195), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.97 | (1196) all_0_35_35 = e1
% 265.10/206.97 |
% 265.10/206.97 | From (1196) and (12876) follows:
% 265.10/206.97 | (12926) op(e1, e3) = e4
% 265.10/206.97 |
% 265.10/206.97 +-Applying beta-rule and splitting (12881), into two cases.
% 265.10/206.97 |-Branch one:
% 265.10/206.98 | (12932) ~ (op(e1, e3) = e4)
% 265.10/206.98 |
% 265.10/206.98 | Using (12926) and (12932) yields:
% 265.10/206.98 | (821) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (12926) op(e1, e3) = e4
% 265.10/206.98 | (1446) all_0_31_31 = e4
% 265.10/206.98 |
% 265.10/206.98 | Equations (1446) can reduce 584 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (1177) ~ (all_0_35_35 = e1)
% 265.10/206.98 | (1203) all_0_35_35 = e0
% 265.10/206.98 |
% 265.10/206.98 | Equations (1203) can reduce 385 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (586) ~ (all_0_36_36 = e4)
% 265.10/206.98 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (2633), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (1232) all_0_37_37 = e4
% 265.10/206.98 |
% 265.10/206.98 | Equations (1232) can reduce 2658 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (2658) ~ (all_0_37_37 = e4)
% 265.10/206.98 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (2659), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (1165) all_0_38_38 = e4
% 265.10/206.98 |
% 265.10/206.98 | Combining equations (1077,1165) yields a new equation:
% 265.10/206.98 | (691) e4 = e3
% 265.10/206.98 |
% 265.10/206.98 | Equations (691) can reduce 277 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (1143) ~ (all_0_38_38 = e4)
% 265.10/206.98 | (365) all_0_39_39 = e4
% 265.10/206.98 |
% 265.10/206.98 | Combining equations (365,380) yields a new equation:
% 265.10/206.98 | (842) e4 = e0
% 265.10/206.98 |
% 265.10/206.98 | Simplifying 842 yields:
% 265.10/206.98 | (490) e4 = e0
% 265.10/206.98 |
% 265.10/206.98 | Equations (490) can reduce 287 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (1089) ~ (all_0_32_32 = e3)
% 265.10/206.98 | (1073) all_0_37_37 = e3
% 265.10/206.98 |
% 265.10/206.98 | Equations (1073) can reduce 777 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (566) ~ (all_0_25_25 = e3)
% 265.10/206.98 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (2442), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (2443) all_0_26_26 = e3
% 265.10/206.98 |
% 265.10/206.98 | Equations (2443) can reduce 504 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (504) ~ (all_0_26_26 = e3)
% 265.10/206.98 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (2448), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (439) all_0_27_27 = e3
% 265.10/206.98 |
% 265.10/206.98 | Combining equations (435,439) yields a new equation:
% 265.10/206.98 | (690) e4 = e3
% 265.10/206.98 |
% 265.10/206.98 | Simplifying 690 yields:
% 265.10/206.98 | (691) e4 = e3
% 265.10/206.98 |
% 265.10/206.98 | Equations (691) can reduce 277 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (400) ~ (all_0_27_27 = e3)
% 265.10/206.98 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (2453), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (896) all_0_28_28 = e3
% 265.10/206.98 |
% 265.10/206.98 | Equations (896) can reduce 86 to:
% 265.10/206.98 | (982) ~ (all_0_23_23 = e3)
% 265.10/206.98 |
% 265.10/206.98 | Equations (896) can reduce 193 to:
% 265.10/206.98 | (566) ~ (all_0_25_25 = e3)
% 265.10/206.98 |
% 265.10/206.98 | Equations (896) can reduce 198 to:
% 265.10/206.98 | (2070) ~ (all_0_38_38 = e3)
% 265.10/206.98 |
% 265.10/206.98 | Simplifying 2070 yields:
% 265.10/206.98 | (1080) ~ (all_0_38_38 = e3)
% 265.10/206.98 |
% 265.10/206.98 | Equations (896) can reduce 421 to:
% 265.10/206.98 | (318) ~ (e3 = e1)
% 265.10/206.98 |
% 265.10/206.98 | From (896) and (315) follows:
% 265.10/206.98 | (13291) op(e3, all_0_32_32) = e1
% 265.10/206.98 |
% 265.10/206.98 | Instantiating formula (97) with e3, e0, e1, all_0_24_24 and discharging atoms op(e3, e0) = all_0_24_24, yields:
% 265.10/206.98 | (13292) all_0_24_24 = e1 | ~ (op(e3, e0) = e1)
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (358), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (1165) all_0_38_38 = e4
% 265.10/206.98 |
% 265.10/206.98 | Equations (1165) can reduce 142 to:
% 265.10/206.98 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.98 |
% 265.10/206.98 | Equations (1165) can reduce 93 to:
% 265.10/206.98 | (586) ~ (all_0_36_36 = e4)
% 265.10/206.98 |
% 265.10/206.98 | Equations (1165) can reduce 1080 to:
% 265.10/206.98 | (277) ~ (e4 = e3)
% 265.10/206.98 |
% 265.10/206.98 | Equations (1165) can reduce 428 to:
% 265.10/206.98 | (65) ~ (e4 = e1)
% 265.10/206.98 |
% 265.10/206.98 | Equations (1165) can reduce 388 to:
% 265.10/206.98 | (287) ~ (e4 = e0)
% 265.10/206.98 |
% 265.10/206.98 | From (1165) and (312) follows:
% 265.10/206.98 | (13299) op(e4, all_0_34_34) = e1
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (309), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (1274) all_0_18_18 = e2
% 265.10/206.98 |
% 265.10/206.98 | Equations (1274) can reduce 666 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (666) ~ (all_0_18_18 = e2)
% 265.10/206.98 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (1756), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (1126) all_0_23_23 = e2
% 265.10/206.98 |
% 265.10/206.98 | Equations (1126) can reduce 272 to:
% 265.10/206.98 | (1114) ~ (all_0_20_20 = e2)
% 265.10/206.98 |
% 265.10/206.98 | Equations (1126) can reduce 346 to:
% 265.10/206.98 | (493) ~ (all_0_22_22 = e2)
% 265.10/206.98 |
% 265.10/206.98 | Equations (1126) can reduce 420 to:
% 265.10/206.98 | (329) ~ (e2 = e1)
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (26), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (887) all_0_18_18 = e4
% 265.10/206.98 |
% 265.10/206.98 | Equations (887) can reduce 1046 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (1046) ~ (all_0_18_18 = e4)
% 265.10/206.98 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (694), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (701) all_0_16_16 = e4
% 265.10/206.98 |
% 265.10/206.98 | Equations (701) can reduce 169 to:
% 265.10/206.98 | (11516) ~ (all_0_17_17 = e4)
% 265.10/206.98 |
% 265.10/206.98 | Simplifying 11516 yields:
% 265.10/206.98 | (869) ~ (all_0_17_17 = e4)
% 265.10/206.98 |
% 265.10/206.98 | Equations (701) can reduce 10 to:
% 265.10/206.98 | (583) ~ (all_0_31_31 = e4)
% 265.10/206.98 |
% 265.10/206.98 | Simplifying 583 yields:
% 265.10/206.98 | (584) ~ (all_0_31_31 = e4)
% 265.10/206.98 |
% 265.10/206.98 | From (701) and (124) follows:
% 265.10/206.98 | (6524) op(e4, all_0_20_20) = e3
% 265.10/206.98 |
% 265.10/206.98 | From (701) and (40) follows:
% 265.10/206.98 | (6525) op(all_0_20_20, e4) = e4
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (323), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (476) all_0_15_15 = e1
% 265.10/206.98 |
% 265.10/206.98 | Combining equations (476,472) yields a new equation:
% 265.10/206.98 | (718) e2 = e1
% 265.10/206.98 |
% 265.10/206.98 | Equations (718) can reduce 329 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (482) ~ (all_0_15_15 = e1)
% 265.10/206.98 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (709), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (921) all_0_16_16 = e1
% 265.10/206.98 |
% 265.10/206.98 | Combining equations (921,701) yields a new equation:
% 265.10/206.98 | (480) e4 = e1
% 265.10/206.98 |
% 265.10/206.98 | Equations (480) can reduce 65 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (985) ~ (all_0_16_16 = e1)
% 265.10/206.98 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (1373), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (1498) all_0_17_17 = e1
% 265.10/206.98 |
% 265.10/206.98 | Combining equations (1498,10607) yields a new equation:
% 265.10/206.98 | (1292) all_0_11_11 = e1
% 265.10/206.98 |
% 265.10/206.98 | Equations (1498) can reduce 184 to:
% 265.10/206.98 | (3383) ~ (all_0_22_22 = e1)
% 265.10/206.98 |
% 265.10/206.98 | Simplifying 3383 yields:
% 265.10/206.98 | (1018) ~ (all_0_22_22 = e1)
% 265.10/206.98 |
% 265.10/206.98 | Equations (1498) can reduce 869 to:
% 265.10/206.98 | (477) ~ (e4 = e1)
% 265.10/206.98 |
% 265.10/206.98 | Simplifying 477 yields:
% 265.10/206.98 | (65) ~ (e4 = e1)
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (153), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (831) all_0_22_22 = e4
% 265.10/206.98 |
% 265.10/206.98 | Equations (831) can reduce 576 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (576) ~ (all_0_22_22 = e4)
% 265.10/206.98 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (185), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (1153) all_0_18_18 = e0
% 265.10/206.98 |
% 265.10/206.98 | From (1153) and (238) follows:
% 265.10/206.98 | (13340) op(e0, all_0_30_30) = e1
% 265.10/206.98 |
% 265.10/206.98 | From (1153) and (61) follows:
% 265.10/206.98 | (2158) op(e4, e1) = e0
% 265.10/206.98 |
% 265.10/206.98 +-Applying beta-rule and splitting (10339), into two cases.
% 265.10/206.98 |-Branch one:
% 265.10/206.98 | (11104) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 265.10/206.98 |
% 265.10/206.98 | Applying alpha-rule on (11104) yields:
% 265.10/206.98 | (10607) all_0_11_11 = all_0_17_17
% 265.10/206.98 | (1501) ~ (all_0_17_17 = e1)
% 265.10/206.98 |
% 265.10/206.98 | Combining equations (10607,1292) yields a new equation:
% 265.10/206.98 | (11107) all_0_17_17 = e1
% 265.10/206.98 |
% 265.10/206.98 | Simplifying 11107 yields:
% 265.10/206.98 | (1498) all_0_17_17 = e1
% 265.10/206.98 |
% 265.10/206.98 | Equations (1498) can reduce 1501 to:
% 265.10/206.98 | (366) $false
% 265.10/206.98 |
% 265.10/206.98 |-The branch is then unsatisfiable
% 265.10/206.98 |-Branch two:
% 265.10/206.98 | (11928) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 265.10/206.99 |
% 265.10/206.99 | Applying alpha-rule on (11928) yields:
% 265.10/206.99 | (10607) all_0_11_11 = all_0_17_17
% 265.10/206.99 | (11930) ( ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 265.10/206.99 |
% 265.10/206.99 | Combining equations (10607,1292) yields a new equation:
% 265.10/206.99 | (11107) all_0_17_17 = e1
% 265.10/206.99 |
% 265.10/206.99 | Simplifying 11107 yields:
% 265.10/206.99 | (1498) all_0_17_17 = e1
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (834), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (857) all_0_22_22 = e3
% 265.10/206.99 |
% 265.10/206.99 | Equations (857) can reduce 774 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (774) ~ (all_0_22_22 = e3)
% 265.10/206.99 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (11930), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (13357) ~ (all_0_9_9 = e0) & op(e4, all_0_17_17) = all_0_9_9
% 265.10/206.99 |
% 265.10/206.99 | Applying alpha-rule on (13357) yields:
% 265.10/206.99 | (2181) ~ (all_0_9_9 = e0)
% 265.10/206.99 | (13359) op(e4, all_0_17_17) = all_0_9_9
% 265.10/206.99 |
% 265.10/206.99 | From (1498) and (13359) follows:
% 265.10/206.99 | (2183) op(e4, e1) = all_0_9_9
% 265.10/206.99 |
% 265.10/206.99 | Instantiating formula (97) with e4, e1, e0, all_0_9_9 and discharging atoms op(e4, e1) = all_0_9_9, op(e4, e1) = e0, yields:
% 265.10/206.99 | (2184) all_0_9_9 = e0
% 265.10/206.99 |
% 265.10/206.99 | Equations (2184) can reduce 2181 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (13363) ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.10/206.99 |
% 265.10/206.99 | Applying alpha-rule on (13363) yields:
% 265.10/206.99 | (13364) ~ (all_0_10_10 = e3)
% 265.10/206.99 | (13365) op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.10/206.99 |
% 265.10/206.99 | From (1498)(1498) and (13365) follows:
% 265.10/206.99 | (2189) op(e1, e1) = all_0_10_10
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (860), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (917) all_0_22_22 = e2
% 265.10/206.99 |
% 265.10/206.99 | Equations (917) can reduce 493 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (493) ~ (all_0_22_22 = e2)
% 265.10/206.99 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (920), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (999) all_0_22_22 = e1
% 265.10/206.99 |
% 265.10/206.99 | Equations (999) can reduce 1018 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (1018) ~ (all_0_22_22 = e1)
% 265.10/206.99 | (847) all_0_22_22 = e0
% 265.10/206.99 |
% 265.10/206.99 | Equations (847) can reduce 211 to:
% 265.10/206.99 | (839) ~ (all_0_20_20 = e0)
% 265.10/206.99 |
% 265.10/206.99 | Instantiating formula (97) with e1, e4, e4, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 265.10/206.99 | (2806) all_0_30_30 = e4 | ~ (op(e1, e4) = e4)
% 265.10/206.99 |
% 265.10/206.99 | Instantiating formula (97) with e4, all_0_34_34, e1, e3 and discharging atoms op(e4, all_0_34_34) = e1, yields:
% 265.10/206.99 | (13377) e3 = e1 | ~ (op(e4, all_0_34_34) = e3)
% 265.10/206.99 |
% 265.10/206.99 | Instantiating formula (97) with e1, e1, all_0_10_10, e1 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = e1, yields:
% 265.10/206.99 | (2190) all_0_10_10 = e1
% 265.10/206.99 |
% 265.10/206.99 | Instantiating formula (97) with e0, e4, e1, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 265.10/206.99 | (3304) all_0_35_35 = e1 | ~ (op(e0, e4) = e1)
% 265.10/206.99 |
% 265.10/206.99 | Equations (2190) can reduce 13364 to:
% 265.10/206.99 | (429) ~ (e3 = e1)
% 265.10/206.99 |
% 265.10/206.99 | Simplifying 429 yields:
% 265.10/206.99 | (318) ~ (e3 = e1)
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (256), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (1453) all_0_20_20 = e4
% 265.10/206.99 |
% 265.10/206.99 | Equations (1453) can reduce 116 to:
% 265.10/206.99 | (3310) ~ (all_0_30_30 = e4)
% 265.10/206.99 |
% 265.10/206.99 | Simplifying 3310 yields:
% 265.10/206.99 | (509) ~ (all_0_30_30 = e4)
% 265.10/206.99 |
% 265.10/206.99 | From (1453) and (6524) follows:
% 265.10/206.99 | (533) op(e4, e4) = e3
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (308), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (1175) all_0_20_20 = e1
% 265.10/206.99 |
% 265.10/206.99 | Combining equations (1453,1175) yields a new equation:
% 265.10/206.99 | (955) e4 = e1
% 265.10/206.99 |
% 265.10/206.99 | Simplifying 955 yields:
% 265.10/206.99 | (480) e4 = e1
% 265.10/206.99 |
% 265.10/206.99 | Equations (480) can reduce 65 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (1409) ~ (all_0_20_20 = e1)
% 265.10/206.99 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.10/206.99 |
% 265.10/206.99 | Equations (1453) can reduce 1409 to:
% 265.10/206.99 | (65) ~ (e4 = e1)
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (327), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (768) all_0_30_30 = e4
% 265.10/206.99 |
% 265.10/206.99 | Equations (768) can reduce 509 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (509) ~ (all_0_30_30 = e4)
% 265.10/206.99 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (1437), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (1446) all_0_31_31 = e4
% 265.10/206.99 |
% 265.10/206.99 | Equations (1446) can reduce 584 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (584) ~ (all_0_31_31 = e4)
% 265.10/206.99 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (1449), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (1229) all_0_32_32 = e4
% 265.10/206.99 |
% 265.10/206.99 | Equations (1229) can reduce 727 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (727) ~ (all_0_32_32 = e4)
% 265.10/206.99 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (1476), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (406) all_0_33_33 = e4
% 265.10/206.99 |
% 265.10/206.99 | Combining equations (406,418) yields a new equation:
% 265.10/206.99 | (955) e4 = e1
% 265.10/206.99 |
% 265.10/206.99 | Simplifying 955 yields:
% 265.10/206.99 | (480) e4 = e1
% 265.10/206.99 |
% 265.10/206.99 | Equations (480) can reduce 65 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (405) ~ (all_0_33_33 = e4)
% 265.10/206.99 | (723) all_0_34_34 = e4
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (13377), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (13411) ~ (op(e4, all_0_34_34) = e3)
% 265.10/206.99 |
% 265.10/206.99 | From (723) and (13411) follows:
% 265.10/206.99 | (7213) ~ (op(e4, e4) = e3)
% 265.10/206.99 |
% 265.10/206.99 | Using (533) and (7213) yields:
% 265.10/206.99 | (821) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (13414) op(e4, all_0_34_34) = e3
% 265.10/206.99 | (706) e3 = e1
% 265.10/206.99 |
% 265.10/206.99 | Equations (706) can reduce 318 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (496) ~ (all_0_20_20 = e4)
% 265.10/206.99 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (231), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (1453) all_0_20_20 = e4
% 265.10/206.99 |
% 265.10/206.99 | Equations (1453) can reduce 496 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (496) ~ (all_0_20_20 = e4)
% 265.10/206.99 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (2301), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (903) all_0_20_20 = e3
% 265.10/206.99 |
% 265.10/206.99 | Equations (903) can reduce 564 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (564) ~ (all_0_20_20 = e3)
% 265.10/206.99 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 265.10/206.99 |
% 265.10/206.99 +-Applying beta-rule and splitting (2305), into two cases.
% 265.10/206.99 |-Branch one:
% 265.10/206.99 | (736) all_0_20_20 = e2
% 265.10/206.99 |
% 265.10/206.99 | Equations (736) can reduce 1114 to:
% 265.10/206.99 | (366) $false
% 265.10/206.99 |
% 265.10/206.99 |-The branch is then unsatisfiable
% 265.10/206.99 |-Branch two:
% 265.10/206.99 | (1114) ~ (all_0_20_20 = e2)
% 265.10/207.00 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (2309), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (1175) all_0_20_20 = e1
% 265.10/207.00 |
% 265.10/207.00 | Equations (1175) can reduce 249 to:
% 265.10/207.00 | (1176) ~ (all_0_35_35 = e1)
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 1176 yields:
% 265.10/207.00 | (1177) ~ (all_0_35_35 = e1)
% 265.10/207.00 |
% 265.10/207.00 | From (1175) and (6525) follows:
% 265.10/207.00 | (4267) op(e1, e4) = e4
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (2806), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (4268) ~ (op(e1, e4) = e4)
% 265.10/207.00 |
% 265.10/207.00 | Using (4267) and (4268) yields:
% 265.10/207.00 | (821) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (4267) op(e1, e4) = e4
% 265.10/207.00 | (768) all_0_30_30 = e4
% 265.10/207.00 |
% 265.10/207.00 | From (768) and (13340) follows:
% 265.10/207.00 | (3980) op(e0, e4) = e1
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (3304), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (3981) ~ (op(e0, e4) = e1)
% 265.10/207.00 |
% 265.10/207.00 | Using (3980) and (3981) yields:
% 265.10/207.00 | (821) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (3980) op(e0, e4) = e1
% 265.10/207.00 | (1196) all_0_35_35 = e1
% 265.10/207.00 |
% 265.10/207.00 | Equations (1196) can reduce 1177 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (1409) ~ (all_0_20_20 = e1)
% 265.10/207.00 | (835) all_0_20_20 = e0
% 265.10/207.00 |
% 265.10/207.00 | Equations (835) can reduce 839 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (1156) ~ (all_0_18_18 = e0)
% 265.10/207.00 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (1157), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (851) all_0_23_23 = e0
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (1126,851) yields a new equation:
% 265.10/207.00 | (836) e2 = e0
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 836 yields:
% 265.10/207.00 | (551) e2 = e0
% 265.10/207.00 |
% 265.10/207.00 | Equations (551) can reduce 347 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (1068) ~ (all_0_23_23 = e0)
% 265.10/207.00 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (1228), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (1044) all_0_28_28 = e0
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (896,1044) yields a new equation:
% 265.10/207.00 | (979) e3 = e0
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 979 yields:
% 265.10/207.00 | (980) e3 = e0
% 265.10/207.00 |
% 265.10/207.00 | Equations (980) can reduce 88 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (886) ~ (all_0_28_28 = e0)
% 265.10/207.00 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (1253), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (1254) all_0_33_33 = e0
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (418,1254) yields a new equation:
% 265.10/207.00 | (960) e1 = e0
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 960 yields:
% 265.10/207.00 | (961) e1 = e0
% 265.10/207.00 |
% 265.10/207.00 | Equations (961) can reduce 37 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (399) ~ (all_0_33_33 = e0)
% 265.10/207.00 | (1214) all_0_38_38 = e0
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (1165,1214) yields a new equation:
% 265.10/207.00 | (842) e4 = e0
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 842 yields:
% 265.10/207.00 | (490) e4 = e0
% 265.10/207.00 |
% 265.10/207.00 | Equations (490) can reduce 287 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (1501) ~ (all_0_17_17 = e1)
% 265.10/207.00 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (1681), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (1278) all_0_18_18 = e1
% 265.10/207.00 |
% 265.10/207.00 | Equations (1278) can reduce 419 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (419) ~ (all_0_18_18 = e1)
% 265.10/207.00 | (716) all_0_19_19 = e1
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (716,927) yields a new equation:
% 265.10/207.00 | (706) e3 = e1
% 265.10/207.00 |
% 265.10/207.00 | Equations (706) can reduce 318 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (573) ~ (all_0_16_16 = e4)
% 265.10/207.00 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (163), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (701) all_0_16_16 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (701) can reduce 573 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (573) ~ (all_0_16_16 = e4)
% 265.10/207.00 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (6243), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (449) all_0_21_21 = e4
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (449,453) yields a new equation:
% 265.10/207.00 | (690) e4 = e3
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 690 yields:
% 265.10/207.00 | (691) e4 = e3
% 265.10/207.00 |
% 265.10/207.00 | Equations (691) can reduce 277 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (448) ~ (all_0_21_21 = e4)
% 265.10/207.00 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (6248), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (1237) all_0_26_26 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (1237) can reduce 582 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (582) ~ (all_0_26_26 = e4)
% 265.10/207.00 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (6263), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (1446) all_0_31_31 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (1446) can reduce 510 to:
% 265.10/207.00 | (277) ~ (e4 = e3)
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (864), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (865) all_0_17_17 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (865) can reduce 869 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (869) ~ (all_0_17_17 = e4)
% 265.10/207.00 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (870), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (887) all_0_18_18 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (887) can reduce 1046 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (1046) ~ (all_0_18_18 = e4)
% 265.10/207.00 | (711) all_0_19_19 = e4
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (711,927) yields a new equation:
% 265.10/207.00 | (690) e4 = e3
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 690 yields:
% 265.10/207.00 | (691) e4 = e3
% 265.10/207.00 |
% 265.10/207.00 | Equations (691) can reduce 277 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (584) ~ (all_0_31_31 = e4)
% 265.10/207.00 | (2611) all_0_36_36 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (2611) can reduce 586 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (810) ~ (all_0_23_23 = e2)
% 265.10/207.00 | (5316) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (5316), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (1037) all_0_28_28 = e2
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (896,1037) yields a new equation:
% 265.10/207.00 | (3874) e3 = e2
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 3874 yields:
% 265.10/207.00 | (764) e3 = e2
% 265.10/207.00 |
% 265.10/207.00 | Equations (764) can reduce 56 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (649) ~ (all_0_28_28 = e2)
% 265.10/207.00 | (5320) all_0_33_33 = e2 | all_0_38_38 = e2
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (5320), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (414) all_0_33_33 = e2
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (414,418) yields a new equation:
% 265.10/207.00 | (717) e2 = e1
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 717 yields:
% 265.10/207.00 | (718) e2 = e1
% 265.10/207.00 |
% 265.10/207.00 | Equations (718) can reduce 329 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (401) ~ (all_0_33_33 = e2)
% 265.10/207.00 | (809) all_0_38_38 = e2
% 265.10/207.00 |
% 265.10/207.00 | Combining equations (1165,809) yields a new equation:
% 265.10/207.00 | (1111) e4 = e2
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 1111 yields:
% 265.10/207.00 | (539) e4 = e2
% 265.10/207.00 |
% 265.10/207.00 | Equations (539) can reduce 19 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (1143) ~ (all_0_38_38 = e4)
% 265.10/207.00 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (1168), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (1077) all_0_38_38 = e3
% 265.10/207.00 |
% 265.10/207.00 | Equations (1077) can reduce 1080 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (1080) ~ (all_0_38_38 = e3)
% 265.10/207.00 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (1164), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (2611) all_0_36_36 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (2611) can reduce 64 to:
% 265.10/207.00 | (573) ~ (all_0_16_16 = e4)
% 265.10/207.00 |
% 265.10/207.00 | Equations (2611) can reduce 516 to:
% 265.10/207.00 | (277) ~ (e4 = e3)
% 265.10/207.00 |
% 265.10/207.00 | Equations (2611) can reduce 386 to:
% 265.10/207.00 | (287) ~ (e4 = e0)
% 265.10/207.00 |
% 265.10/207.00 | From (2611) and (158) follows:
% 265.10/207.00 | (13538) op(all_0_24_24, e4) = e0
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (1206), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (809) all_0_38_38 = e2
% 265.10/207.00 |
% 265.10/207.00 | Equations (809) can reduce 142 to:
% 265.10/207.00 | (666) ~ (all_0_18_18 = e2)
% 265.10/207.00 |
% 265.10/207.00 | Equations (809) can reduce 39 to:
% 265.10/207.00 | (810) ~ (all_0_23_23 = e2)
% 265.10/207.00 |
% 265.10/207.00 | Equations (809) can reduce 1080 to:
% 265.10/207.00 | (658) ~ (e3 = e2)
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 658 yields:
% 265.10/207.00 | (56) ~ (e3 = e2)
% 265.10/207.00 |
% 265.10/207.00 | Equations (809) can reduce 428 to:
% 265.10/207.00 | (329) ~ (e2 = e1)
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (694), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (701) all_0_16_16 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (701) can reduce 573 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (573) ~ (all_0_16_16 = e4)
% 265.10/207.00 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (864), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (865) all_0_17_17 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (865) can reduce 869 to:
% 265.10/207.00 | (366) $false
% 265.10/207.00 |
% 265.10/207.00 |-The branch is then unsatisfiable
% 265.10/207.00 |-Branch two:
% 265.10/207.00 | (869) ~ (all_0_17_17 = e4)
% 265.10/207.00 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 265.10/207.00 |
% 265.10/207.00 +-Applying beta-rule and splitting (870), into two cases.
% 265.10/207.00 |-Branch one:
% 265.10/207.00 | (887) all_0_18_18 = e4
% 265.10/207.00 |
% 265.10/207.00 | Equations (887) can reduce 74 to:
% 265.10/207.00 | (869) ~ (all_0_17_17 = e4)
% 265.10/207.00 |
% 265.10/207.00 | Equations (887) can reduce 110 to:
% 265.10/207.00 | (577) ~ (all_0_23_23 = e4)
% 265.10/207.00 |
% 265.10/207.00 | Simplifying 577 yields:
% 265.10/207.00 | (578) ~ (all_0_23_23 = e4)
% 265.10/207.00 |
% 265.10/207.00 | Equations (887) can reduce 666 to:
% 265.10/207.00 | (19) ~ (e4 = e2)
% 265.10/207.00 |
% 265.10/207.00 | Equations (887) can reduce 419 to:
% 265.10/207.00 | (65) ~ (e4 = e1)
% 265.10/207.00 |
% 265.10/207.00 | From (887) and (238) follows:
% 265.10/207.01 | (12210) op(e4, all_0_30_30) = e1
% 265.10/207.01 |
% 265.10/207.01 +-Applying beta-rule and splitting (137), into two cases.
% 265.10/207.01 |-Branch one:
% 265.10/207.01 | (1515) all_0_23_23 = e4
% 265.10/207.01 |
% 265.10/207.01 | Equations (1515) can reduce 578 to:
% 265.10/207.01 | (366) $false
% 265.10/207.01 |
% 265.10/207.01 |-The branch is then unsatisfiable
% 265.10/207.01 |-Branch two:
% 265.10/207.01 | (578) ~ (all_0_23_23 = e4)
% 265.10/207.01 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.10/207.01 |
% 265.10/207.01 +-Applying beta-rule and splitting (185), into two cases.
% 265.10/207.01 |-Branch one:
% 265.10/207.01 | (1153) all_0_18_18 = e0
% 265.10/207.01 |
% 265.10/207.01 | Combining equations (1153,887) yields a new equation:
% 265.10/207.01 | (490) e4 = e0
% 265.10/207.01 |
% 265.10/207.01 | Equations (490) can reduce 287 to:
% 265.10/207.01 | (366) $false
% 265.10/207.01 |
% 265.10/207.01 |-The branch is then unsatisfiable
% 265.10/207.01 |-Branch two:
% 265.10/207.01 | (1156) ~ (all_0_18_18 = e0)
% 265.10/207.01 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 265.10/207.01 |
% 265.10/207.01 +-Applying beta-rule and splitting (1157), into two cases.
% 265.10/207.01 |-Branch one:
% 265.10/207.01 | (851) all_0_23_23 = e0
% 265.10/207.01 |
% 265.10/207.01 | Equations (851) can reduce 346 to:
% 265.10/207.01 | (826) ~ (all_0_22_22 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Equations (851) can reduce 578 to:
% 265.10/207.01 | (389) ~ (e4 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 389 yields:
% 265.10/207.01 | (287) ~ (e4 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Equations (851) can reduce 420 to:
% 265.10/207.01 | (395) ~ (e1 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 395 yields:
% 265.10/207.01 | (37) ~ (e1 = e0)
% 265.10/207.01 |
% 265.10/207.01 | From (851) and (301) follows:
% 265.10/207.01 | (13575) op(all_0_31_31, e0) = e3
% 265.10/207.01 |
% 265.10/207.01 | Instantiating formula (97) with e1, e4, e0, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 265.10/207.01 | (4342) all_0_30_30 = e0 | ~ (op(e1, e4) = e0)
% 265.10/207.01 |
% 265.10/207.01 | Instantiating formula (97) with e0, e0, e3, e0 and discharging atoms op(e0, e0) = e0, yields:
% 265.10/207.01 | (10428) e3 = e0 | ~ (op(e0, e0) = e3)
% 265.10/207.01 |
% 265.10/207.01 | Instantiating formula (97) with e4, e0, e1, e3 and discharging atoms op(e4, e0) = e3, yields:
% 265.10/207.01 | (13578) e3 = e1 | ~ (op(e4, e0) = e1)
% 265.10/207.01 |
% 265.10/207.01 +-Applying beta-rule and splitting (222), into two cases.
% 265.10/207.01 |-Branch one:
% 265.10/207.01 | (823) all_0_17_17 = e0
% 265.10/207.01 |
% 265.10/207.01 | Combining equations (823,10607) yields a new equation:
% 265.10/207.01 | (6780) all_0_11_11 = e0
% 265.10/207.01 |
% 265.10/207.01 | Equations (823) can reduce 286 to:
% 265.10/207.01 | (2961) ~ (all_0_32_32 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 2961 yields:
% 265.10/207.01 | (1946) ~ (all_0_32_32 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Equations (823) can reduce 869 to:
% 265.10/207.01 | (389) ~ (e4 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 389 yields:
% 265.10/207.01 | (287) ~ (e4 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Equations (823) can reduce 558 to:
% 265.10/207.01 | (391) ~ (e3 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 391 yields:
% 265.10/207.01 | (88) ~ (e3 = e0)
% 265.10/207.01 |
% 265.10/207.01 +-Applying beta-rule and splitting (10331), into two cases.
% 265.10/207.01 |-Branch one:
% 265.10/207.01 | (10606) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Applying alpha-rule on (10606) yields:
% 265.10/207.01 | (10607) all_0_11_11 = all_0_17_17
% 265.10/207.01 | (2422) ~ (all_0_17_17 = e0)
% 265.10/207.01 |
% 265.10/207.01 | Combining equations (10607,6780) yields a new equation:
% 265.10/207.01 | (13590) all_0_17_17 = e0
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 13590 yields:
% 265.10/207.01 | (823) all_0_17_17 = e0
% 265.10/207.01 |
% 265.10/207.01 | Equations (823) can reduce 2422 to:
% 265.10/207.01 | (366) $false
% 265.10/207.01 |
% 265.10/207.01 |-The branch is then unsatisfiable
% 265.10/207.01 |-Branch two:
% 265.10/207.01 | (12546) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 265.10/207.01 |
% 265.10/207.01 | Applying alpha-rule on (12546) yields:
% 265.10/207.01 | (10607) all_0_11_11 = all_0_17_17
% 265.10/207.01 | (12548) ( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 265.10/207.01 |
% 265.10/207.01 | Combining equations (10607,6780) yields a new equation:
% 265.10/207.01 | (13590) all_0_17_17 = e0
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 13590 yields:
% 265.10/207.01 | (823) all_0_17_17 = e0
% 265.10/207.01 |
% 265.10/207.01 +-Applying beta-rule and splitting (11835), into two cases.
% 265.10/207.01 |-Branch one:
% 265.10/207.01 | (13598) ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9
% 265.10/207.01 |
% 265.10/207.01 | Applying alpha-rule on (13598) yields:
% 265.10/207.01 | (13599) ~ (all_0_9_9 = e1)
% 265.10/207.01 | (13359) op(e4, all_0_17_17) = all_0_9_9
% 265.10/207.01 |
% 265.10/207.01 | From (823) and (13359) follows:
% 265.10/207.01 | (13601) op(e4, e0) = all_0_9_9
% 265.10/207.01 |
% 265.10/207.01 +-Applying beta-rule and splitting (323), into two cases.
% 265.10/207.01 |-Branch one:
% 265.10/207.01 | (476) all_0_15_15 = e1
% 265.10/207.01 |
% 265.10/207.01 | Combining equations (476,472) yields a new equation:
% 265.10/207.01 | (718) e2 = e1
% 265.10/207.01 |
% 265.10/207.01 | Equations (718) can reduce 329 to:
% 265.10/207.01 | (366) $false
% 265.10/207.01 |
% 265.10/207.01 |-The branch is then unsatisfiable
% 265.10/207.01 |-Branch two:
% 265.10/207.01 | (482) ~ (all_0_15_15 = e1)
% 265.10/207.01 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.10/207.01 |
% 265.10/207.01 +-Applying beta-rule and splitting (709), into two cases.
% 265.10/207.01 |-Branch one:
% 265.10/207.01 | (921) all_0_16_16 = e1
% 265.10/207.01 |
% 265.10/207.01 | Equations (921) can reduce 139 to:
% 265.10/207.01 | (5348) ~ (all_0_26_26 = e1)
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 5348 yields:
% 265.10/207.01 | (1008) ~ (all_0_26_26 = e1)
% 265.10/207.01 |
% 265.10/207.01 | Equations (921) can reduce 664 to:
% 265.10/207.01 | (1002) ~ (e2 = e1)
% 265.10/207.01 |
% 265.10/207.01 | Simplifying 1002 yields:
% 265.10/207.01 | (329) ~ (e2 = e1)
% 265.10/207.01 |
% 265.10/207.01 | Instantiating formula (97) with e0, e0, e4, e0 and discharging atoms op(e0, e0) = e0, yields:
% 265.10/207.01 | (13612) e4 = e0 | ~ (op(e0, e0) = e4)
% 265.10/207.01 |
% 265.10/207.01 | Instantiating formula (97) with e4, e0, all_0_9_9, e1 and discharging atoms op(e4, e0) = all_0_9_9, yields:
% 265.10/207.01 | (13613) all_0_9_9 = e1 | ~ (op(e4, e0) = e1)
% 265.10/207.01 |
% 265.10/207.01 | Instantiating formula (97) with e4, e0, all_0_9_9, e3 and discharging atoms op(e4, e0) = all_0_9_9, op(e4, e0) = e3, yields:
% 265.10/207.01 | (13614) all_0_9_9 = e3
% 265.10/207.01 |
% 265.10/207.02 | Equations (13614) can reduce 13599 to:
% 265.10/207.02 | (318) ~ (e3 = e1)
% 265.10/207.02 |
% 265.10/207.02 +-Applying beta-rule and splitting (12548), into two cases.
% 265.10/207.02 |-Branch one:
% 265.10/207.02 | (13616) ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9
% 265.10/207.02 |
% 265.10/207.02 | Applying alpha-rule on (13616) yields:
% 265.10/207.02 | (13617) ~ (all_0_9_9 = e3)
% 265.10/207.02 | (13359) op(e4, all_0_17_17) = all_0_9_9
% 265.10/207.02 |
% 265.10/207.02 | Equations (13614) can reduce 13617 to:
% 265.10/207.02 | (366) $false
% 265.10/207.02 |
% 265.10/207.02 |-The branch is then unsatisfiable
% 265.10/207.02 |-Branch two:
% 265.10/207.02 | (13620) ~ (all_0_10_10 = e1) & op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.10/207.02 |
% 265.10/207.02 | Applying alpha-rule on (13620) yields:
% 265.10/207.02 | (2187) ~ (all_0_10_10 = e1)
% 265.10/207.02 | (13365) op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.10/207.02 |
% 265.10/207.02 | From (823)(823) and (13365) follows:
% 265.10/207.02 | (13623) op(e0, e0) = all_0_10_10
% 265.10/207.02 |
% 265.10/207.02 +-Applying beta-rule and splitting (10428), into two cases.
% 265.10/207.02 |-Branch one:
% 265.10/207.02 | (10467) ~ (op(e0, e0) = e3)
% 265.10/207.02 |
% 265.10/207.02 +-Applying beta-rule and splitting (13612), into two cases.
% 265.10/207.02 |-Branch one:
% 265.10/207.02 | (6403) ~ (op(e0, e0) = e4)
% 265.10/207.02 |
% 265.10/207.02 | Instantiating formula (97) with e0, e0, all_0_10_10, e0 and discharging atoms op(e0, e0) = all_0_10_10, op(e0, e0) = e0, yields:
% 265.10/207.02 | (13626) all_0_10_10 = e0
% 265.10/207.02 |
% 265.10/207.02 | Using (13623) and (6403) yields:
% 265.10/207.02 | (13627) ~ (all_0_10_10 = e4)
% 265.10/207.02 |
% 265.10/207.02 | Using (13575) and (10467) yields:
% 265.10/207.02 | (1064) ~ (all_0_31_31 = e0)
% 265.10/207.02 |
% 265.10/207.02 | Using (13623) and (10467) yields:
% 265.10/207.02 | (13364) ~ (all_0_10_10 = e3)
% 265.10/207.02 |
% 265.10/207.02 | Equations (13626) can reduce 13627 to:
% 265.10/207.02 | (389) ~ (e4 = e0)
% 265.10/207.02 |
% 265.10/207.02 | Simplifying 389 yields:
% 265.10/207.02 | (287) ~ (e4 = e0)
% 265.10/207.02 |
% 265.10/207.02 | Equations (13626) can reduce 13364 to:
% 265.10/207.02 | (391) ~ (e3 = e0)
% 265.10/207.02 |
% 265.10/207.02 | Simplifying 391 yields:
% 265.10/207.02 | (88) ~ (e3 = e0)
% 265.10/207.02 |
% 265.10/207.02 | Equations (13626) can reduce 2187 to:
% 265.21/207.02 | (395) ~ (e1 = e0)
% 265.21/207.02 |
% 265.21/207.02 | Simplifying 395 yields:
% 265.21/207.02 | (37) ~ (e1 = e0)
% 265.21/207.02 |
% 265.21/207.02 +-Applying beta-rule and splitting (127), into two cases.
% 265.21/207.02 |-Branch one:
% 265.21/207.02 | (790) all_0_30_30 = e0
% 265.21/207.02 |
% 265.21/207.02 | Equations (790) can reduce 217 to:
% 265.21/207.02 | (1856) ~ (all_0_31_31 = e0)
% 265.21/207.02 |
% 265.21/207.02 | Simplifying 1856 yields:
% 265.21/207.02 | (1064) ~ (all_0_31_31 = e0)
% 265.21/207.02 |
% 265.21/207.02 | Equations (790) can reduce 740 to:
% 265.21/207.02 | (393) ~ (e2 = e0)
% 265.21/207.02 |
% 265.21/207.02 | Simplifying 393 yields:
% 265.21/207.02 | (347) ~ (e2 = e0)
% 265.21/207.02 |
% 265.21/207.02 | Equations (790) can reduce 422 to:
% 265.21/207.02 | (395) ~ (e1 = e0)
% 265.21/207.02 |
% 265.21/207.02 | Simplifying 395 yields:
% 265.21/207.02 | (37) ~ (e1 = e0)
% 265.21/207.02 |
% 265.21/207.02 | From (790) and (12210) follows:
% 265.21/207.02 | (4339) op(e4, e0) = e1
% 265.21/207.02 |
% 265.21/207.02 +-Applying beta-rule and splitting (327), into two cases.
% 265.21/207.02 |-Branch one:
% 265.21/207.02 | (768) all_0_30_30 = e4
% 265.21/207.02 |
% 265.21/207.02 | Combining equations (790,768) yields a new equation:
% 265.21/207.02 | (490) e4 = e0
% 265.21/207.02 |
% 265.21/207.02 | Equations (490) can reduce 287 to:
% 265.21/207.02 | (366) $false
% 265.21/207.02 |
% 265.21/207.02 |-The branch is then unsatisfiable
% 265.21/207.02 |-Branch two:
% 265.21/207.02 | (509) ~ (all_0_30_30 = e4)
% 265.21/207.02 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.21/207.02 |
% 265.21/207.02 | Equations (790) can reduce 509 to:
% 265.21/207.02 | (389) ~ (e4 = e0)
% 265.21/207.02 |
% 265.21/207.02 | Simplifying 389 yields:
% 265.21/207.02 | (287) ~ (e4 = e0)
% 265.21/207.02 |
% 265.21/207.02 +-Applying beta-rule and splitting (279), into two cases.
% 265.21/207.02 |-Branch one:
% 265.21/207.02 | (873) all_0_16_16 = e0
% 265.21/207.02 |
% 265.21/207.02 | Combining equations (921,873) yields a new equation:
% 265.21/207.02 | (960) e1 = e0
% 265.21/207.02 |
% 265.21/207.02 | Simplifying 960 yields:
% 265.21/207.02 | (961) e1 = e0
% 265.21/207.02 |
% 265.21/207.02 | Equations (961) can reduce 37 to:
% 265.21/207.02 | (366) $false
% 265.21/207.02 |
% 265.21/207.02 |-The branch is then unsatisfiable
% 265.21/207.02 |-Branch two:
% 265.21/207.02 | (824) ~ (all_0_16_16 = e0)
% 265.21/207.02 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.21/207.02 |
% 265.21/207.02 +-Applying beta-rule and splitting (876), into two cases.
% 265.21/207.02 |-Branch one:
% 265.21/207.02 | (529) all_0_21_21 = e0
% 265.21/207.02 |
% 265.21/207.02 | Combining equations (453,529) yields a new equation:
% 265.21/207.02 | (979) e3 = e0
% 265.21/207.02 |
% 265.21/207.02 | Simplifying 979 yields:
% 265.21/207.02 | (980) e3 = e0
% 265.21/207.02 |
% 265.21/207.02 | Equations (980) can reduce 88 to:
% 265.21/207.02 | (366) $false
% 265.21/207.02 |
% 265.21/207.02 |-The branch is then unsatisfiable
% 265.21/207.02 |-Branch two:
% 265.21/207.02 | (398) ~ (all_0_21_21 = e0)
% 265.21/207.02 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.21/207.02 |
% 265.21/207.02 +-Applying beta-rule and splitting (882), into two cases.
% 265.21/207.02 |-Branch one:
% 265.21/207.02 | (883) all_0_26_26 = e0
% 265.21/207.02 |
% 265.21/207.02 | Equations (883) can reduce 1008 to:
% 265.21/207.02 | (395) ~ (e1 = e0)
% 265.21/207.02 |
% 265.21/207.02 | Simplifying 395 yields:
% 265.21/207.02 | (37) ~ (e1 = e0)
% 265.21/207.02 |
% 265.21/207.02 +-Applying beta-rule and splitting (23), into two cases.
% 265.21/207.02 |-Branch one:
% 265.21/207.02 | (3159) all_0_25_25 = e2
% 265.21/207.02 |
% 265.21/207.02 | Equations (3159) can reduce 646 to:
% 265.21/207.02 | (366) $false
% 265.21/207.02 |
% 265.21/207.02 |-The branch is then unsatisfiable
% 265.21/207.02 |-Branch two:
% 265.21/207.02 | (646) ~ (all_0_25_25 = e2)
% 265.21/207.02 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 265.21/207.02 |
% 265.21/207.02 +-Applying beta-rule and splitting (340), into two cases.
% 265.21/207.02 |-Branch one:
% 265.21/207.02 | (697) all_0_16_16 = e2
% 265.21/207.02 |
% 265.21/207.02 | Combining equations (921,697) yields a new equation:
% 265.21/207.02 | (718) e2 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (718) can reduce 329 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (664) ~ (all_0_16_16 = e2)
% 265.21/207.03 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 265.21/207.03 |
% 265.21/207.03 | Equations (921) can reduce 664 to:
% 265.21/207.03 | (1002) ~ (e2 = e1)
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 1002 yields:
% 265.21/207.03 | (329) ~ (e2 = e1)
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (13669), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (2380) all_0_26_26 = e2
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (883,2380) yields a new equation:
% 265.21/207.03 | (551) e2 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (551) can reduce 347 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (647) ~ (all_0_26_26 = e2)
% 265.21/207.03 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (13681), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (443) all_0_27_27 = e2
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (435,443) yields a new equation:
% 265.21/207.03 | (1111) e4 = e2
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 1111 yields:
% 265.21/207.03 | (539) e4 = e2
% 265.21/207.03 |
% 265.21/207.03 | Equations (539) can reduce 19 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (500) ~ (all_0_27_27 = e2)
% 265.21/207.03 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (13687), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (1037) all_0_28_28 = e2
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (896,1037) yields a new equation:
% 265.21/207.03 | (3874) e3 = e2
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 3874 yields:
% 265.21/207.03 | (764) e3 = e2
% 265.21/207.03 |
% 265.21/207.03 | Equations (764) can reduce 56 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (649) ~ (all_0_28_28 = e2)
% 265.21/207.03 | (4103) all_0_29_29 = e2
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (126), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (950) all_0_25_25 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (950) can reduce 566 to:
% 265.21/207.03 | (429) ~ (e3 = e1)
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 429 yields:
% 265.21/207.03 | (318) ~ (e3 = e1)
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (32), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (716) all_0_19_19 = e1
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (716,927) yields a new equation:
% 265.21/207.03 | (706) e3 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (706) can reduce 318 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (720) ~ (all_0_19_19 = e1)
% 265.21/207.03 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (927) can reduce 720 to:
% 265.21/207.03 | (318) ~ (e3 = e1)
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (13578), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (12790) ~ (op(e4, e0) = e1)
% 265.21/207.03 |
% 265.21/207.03 | Using (4339) and (12790) yields:
% 265.21/207.03 | (821) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (4339) op(e4, e0) = e1
% 265.21/207.03 | (706) e3 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (706) can reduce 318 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (946) ~ (all_0_25_25 = e1)
% 265.21/207.03 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (32), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (716) all_0_19_19 = e1
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (716,927) yields a new equation:
% 265.21/207.03 | (706) e3 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (706) can reduce 318 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (720) ~ (all_0_19_19 = e1)
% 265.21/207.03 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (721), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (940) all_0_24_24 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (940) can reduce 963 to:
% 265.21/207.03 | (429) ~ (e3 = e1)
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 429 yields:
% 265.21/207.03 | (318) ~ (e3 = e1)
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (13613), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (12790) ~ (op(e4, e0) = e1)
% 265.21/207.03 |
% 265.21/207.03 | Using (4339) and (12790) yields:
% 265.21/207.03 | (821) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (4339) op(e4, e0) = e1
% 265.21/207.03 | (13721) all_0_9_9 = e1
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (13721,13614) yields a new equation:
% 265.21/207.03 | (706) e3 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (706) can reduce 318 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (943) ~ (all_0_24_24 = e1)
% 265.21/207.03 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (944), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (945) all_0_29_29 = e1
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (945,4103) yields a new equation:
% 265.21/207.03 | (718) e2 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (718) can reduce 329 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (952) ~ (all_0_29_29 = e1)
% 265.21/207.03 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (2009), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (1005) all_0_26_26 = e1
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (883,1005) yields a new equation:
% 265.21/207.03 | (961) e1 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (961) can reduce 37 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (1008) ~ (all_0_26_26 = e1)
% 265.21/207.03 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (883) can reduce 1008 to:
% 265.21/207.03 | (395) ~ (e1 = e0)
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 395 yields:
% 265.21/207.03 | (37) ~ (e1 = e0)
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (953), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (954) all_0_34_34 = e1
% 265.21/207.03 |
% 265.21/207.03 | Equations (954) can reduce 426 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (426) ~ (all_0_34_34 = e1)
% 265.21/207.03 | (377) all_0_39_39 = e1
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (380,377) yields a new equation:
% 265.21/207.03 | (961) e1 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (961) can reduce 37 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (1058) ~ (all_0_26_26 = e0)
% 265.21/207.03 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (1059), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (1060) all_0_31_31 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (1060) can reduce 1064 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (1064) ~ (all_0_31_31 = e0)
% 265.21/207.03 | (1065) all_0_36_36 = e0
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (2611,1065) yields a new equation:
% 265.21/207.03 | (842) e4 = e0
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 842 yields:
% 265.21/207.03 | (490) e4 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (490) can reduce 287 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (1878) ~ (all_0_30_30 = e0)
% 265.21/207.03 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (1879), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (1060) all_0_31_31 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (1060) can reduce 1064 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (1064) ~ (all_0_31_31 = e0)
% 265.21/207.03 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (279), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (873) all_0_16_16 = e0
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (921,873) yields a new equation:
% 265.21/207.03 | (960) e1 = e0
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 960 yields:
% 265.21/207.03 | (961) e1 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (961) can reduce 37 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (824) ~ (all_0_16_16 = e0)
% 265.21/207.03 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (921) can reduce 824 to:
% 265.21/207.03 | (37) ~ (e1 = e0)
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (1883), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (1626) all_0_32_32 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (1626) can reduce 1946 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (1946) ~ (all_0_32_32 = e0)
% 265.21/207.03 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 265.21/207.03 |
% 265.21/207.03 +-Applying beta-rule and splitting (1947), into two cases.
% 265.21/207.03 |-Branch one:
% 265.21/207.03 | (1254) all_0_33_33 = e0
% 265.21/207.03 |
% 265.21/207.03 | Combining equations (418,1254) yields a new equation:
% 265.21/207.03 | (960) e1 = e0
% 265.21/207.03 |
% 265.21/207.03 | Simplifying 960 yields:
% 265.21/207.03 | (961) e1 = e0
% 265.21/207.03 |
% 265.21/207.03 | Equations (961) can reduce 37 to:
% 265.21/207.03 | (366) $false
% 265.21/207.03 |
% 265.21/207.03 |-The branch is then unsatisfiable
% 265.21/207.03 |-Branch two:
% 265.21/207.03 | (399) ~ (all_0_33_33 = e0)
% 265.21/207.03 | (1717) all_0_34_34 = e0
% 265.21/207.03 |
% 265.21/207.04 | Equations (1717) can reduce 384 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (489) op(e0, e0) = e4
% 265.21/207.04 | (490) e4 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (490) can reduce 287 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (10466) op(e0, e0) = e3
% 265.21/207.04 | (980) e3 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (980) can reduce 88 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (985) ~ (all_0_16_16 = e1)
% 265.21/207.04 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (228), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (921) all_0_16_16 = e1
% 265.21/207.04 |
% 265.21/207.04 | Equations (921) can reduce 985 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (985) ~ (all_0_16_16 = e1)
% 265.21/207.04 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (1373), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (1498) all_0_17_17 = e1
% 265.21/207.04 |
% 265.21/207.04 | Combining equations (1498,823) yields a new equation:
% 265.21/207.04 | (960) e1 = e0
% 265.21/207.04 |
% 265.21/207.04 | Simplifying 960 yields:
% 265.21/207.04 | (961) e1 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (961) can reduce 37 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (1501) ~ (all_0_17_17 = e1)
% 265.21/207.04 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (986), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (526) all_0_21_21 = e1
% 265.21/207.04 |
% 265.21/207.04 | Combining equations (453,526) yields a new equation:
% 265.21/207.04 | (933) e3 = e1
% 265.21/207.04 |
% 265.21/207.04 | Simplifying 933 yields:
% 265.21/207.04 | (706) e3 = e1
% 265.21/207.04 |
% 265.21/207.04 | Equations (706) can reduce 318 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (363) ~ (all_0_21_21 = e1)
% 265.21/207.04 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.21/207.04 |
% 265.21/207.04 | Equations (453) can reduce 363 to:
% 265.21/207.04 | (318) ~ (e3 = e1)
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (1681), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (1278) all_0_18_18 = e1
% 265.21/207.04 |
% 265.21/207.04 | Combining equations (1278,887) yields a new equation:
% 265.21/207.04 | (480) e4 = e1
% 265.21/207.04 |
% 265.21/207.04 | Equations (480) can reduce 65 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (419) ~ (all_0_18_18 = e1)
% 265.21/207.04 | (716) all_0_19_19 = e1
% 265.21/207.04 |
% 265.21/207.04 | Combining equations (716,927) yields a new equation:
% 265.21/207.04 | (706) e3 = e1
% 265.21/207.04 |
% 265.21/207.04 | Equations (706) can reduce 318 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (13809) ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.21/207.04 |
% 265.21/207.04 | Applying alpha-rule on (13809) yields:
% 265.21/207.04 | (13810) ~ (all_0_10_10 = e0)
% 265.21/207.04 | (13365) op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.21/207.04 |
% 265.21/207.04 | From (823)(823) and (13365) follows:
% 265.21/207.04 | (13623) op(e0, e0) = all_0_10_10
% 265.21/207.04 |
% 265.21/207.04 | Instantiating formula (97) with e0, e0, all_0_10_10, e0 and discharging atoms op(e0, e0) = all_0_10_10, op(e0, e0) = e0, yields:
% 265.21/207.04 | (13626) all_0_10_10 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (13626) can reduce 13810 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (2422) ~ (all_0_17_17 = e0)
% 265.21/207.04 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (2515), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (847) all_0_22_22 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (847) can reduce 826 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (826) ~ (all_0_22_22 = e0)
% 265.21/207.04 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (3101), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (546) all_0_27_27 = e0
% 265.21/207.04 |
% 265.21/207.04 | Combining equations (435,546) yields a new equation:
% 265.21/207.04 | (842) e4 = e0
% 265.21/207.04 |
% 265.21/207.04 | Simplifying 842 yields:
% 265.21/207.04 | (490) e4 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (490) can reduce 287 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (434) ~ (all_0_27_27 = e0)
% 265.21/207.04 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (3107), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (1626) all_0_32_32 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (1626) can reduce 186 to:
% 265.21/207.04 | (1878) ~ (all_0_30_30 = e0)
% 265.21/207.04 |
% 265.21/207.04 | From (1626) and (13291) follows:
% 265.21/207.04 | (13829) op(e3, e0) = e1
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (13292), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (13830) ~ (op(e3, e0) = e1)
% 265.21/207.04 |
% 265.21/207.04 | Using (13829) and (13830) yields:
% 265.21/207.04 | (821) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (13829) op(e3, e0) = e1
% 265.21/207.04 | (940) all_0_24_24 = e1
% 265.21/207.04 |
% 265.21/207.04 | From (940) and (13538) follows:
% 265.21/207.04 | (4831) op(e1, e4) = e0
% 265.21/207.04 |
% 265.21/207.04 +-Applying beta-rule and splitting (4342), into two cases.
% 265.21/207.04 |-Branch one:
% 265.21/207.04 | (4891) ~ (op(e1, e4) = e0)
% 265.21/207.04 |
% 265.21/207.04 | Using (4831) and (4891) yields:
% 265.21/207.04 | (821) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (4831) op(e1, e4) = e0
% 265.21/207.04 | (790) all_0_30_30 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (790) can reduce 1878 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.04 |-Branch two:
% 265.21/207.04 | (1946) ~ (all_0_32_32 = e0)
% 265.21/207.04 | (3111) all_0_37_37 = e0
% 265.21/207.04 |
% 265.21/207.04 | Equations (3111) can reduce 387 to:
% 265.21/207.04 | (366) $false
% 265.21/207.04 |
% 265.21/207.04 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (1068) ~ (all_0_23_23 = e0)
% 265.21/207.05 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (3943), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (978) all_0_23_23 = e3
% 265.21/207.05 |
% 265.21/207.05 | Equations (978) can reduce 982 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (982) ~ (all_0_23_23 = e3)
% 265.21/207.05 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (3947), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (1126) all_0_23_23 = e2
% 265.21/207.05 |
% 265.21/207.05 | Equations (1126) can reduce 810 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (810) ~ (all_0_23_23 = e2)
% 265.21/207.05 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (3951), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (3952) all_0_23_23 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (3952) can reduce 420 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (420) ~ (all_0_23_23 = e1)
% 265.21/207.05 | (851) all_0_23_23 = e0
% 265.21/207.05 |
% 265.21/207.05 | Equations (851) can reduce 1068 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (1046) ~ (all_0_18_18 = e4)
% 265.21/207.05 | (711) all_0_19_19 = e4
% 265.21/207.05 |
% 265.21/207.05 | Combining equations (711,927) yields a new equation:
% 265.21/207.05 | (690) e4 = e3
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 690 yields:
% 265.21/207.05 | (691) e4 = e3
% 265.21/207.05 |
% 265.21/207.05 | Equations (691) can reduce 277 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (1084) ~ (all_0_38_38 = e2)
% 265.21/207.05 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (1210), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (1211) all_0_38_38 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (1211) can reduce 428 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (428) ~ (all_0_38_38 = e1)
% 265.21/207.05 | (1214) all_0_38_38 = e0
% 265.21/207.05 |
% 265.21/207.05 | Equations (1214) can reduce 388 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (586) ~ (all_0_36_36 = e4)
% 265.21/207.05 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (2633), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (1232) all_0_37_37 = e4
% 265.21/207.05 |
% 265.21/207.05 | Equations (1232) can reduce 2658 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (2658) ~ (all_0_37_37 = e4)
% 265.21/207.05 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (2659), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (1165) all_0_38_38 = e4
% 265.21/207.05 |
% 265.21/207.05 | Equations (1165) can reduce 1143 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (1143) ~ (all_0_38_38 = e4)
% 265.21/207.05 | (365) all_0_39_39 = e4
% 265.21/207.05 |
% 265.21/207.05 | Combining equations (365,380) yields a new equation:
% 265.21/207.05 | (842) e4 = e0
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 842 yields:
% 265.21/207.05 | (490) e4 = e0
% 265.21/207.05 |
% 265.21/207.05 | Equations (490) can reduce 287 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (1035) ~ (all_0_28_28 = e3)
% 265.21/207.05 | (1023) all_0_29_29 = e3
% 265.21/207.05 |
% 265.21/207.05 | Equations (1023) can reduce 898 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (562) ~ (all_0_19_19 = e3)
% 265.21/207.05 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (4311), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (927) all_0_19_19 = e3
% 265.21/207.05 |
% 265.21/207.05 | Equations (927) can reduce 562 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (562) ~ (all_0_19_19 = e3)
% 265.21/207.05 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (4315), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (663) all_0_19_19 = e2
% 265.21/207.05 |
% 265.21/207.05 | Equations (663) can reduce 2785 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (2785) ~ (all_0_19_19 = e2)
% 265.21/207.05 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (4319), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (716) all_0_19_19 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (716) can reduce 236 to:
% 265.21/207.05 | (985) ~ (all_0_16_16 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (716) can reduce 333 to:
% 265.21/207.05 | (1501) ~ (all_0_17_17 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (716) can reduce 87 to:
% 265.21/207.05 | (1964) ~ (all_0_24_24 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 1964 yields:
% 265.21/207.05 | (943) ~ (all_0_24_24 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (716) can reduce 229 to:
% 265.21/207.05 | (3164) ~ (all_0_29_29 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 3164 yields:
% 265.21/207.05 | (952) ~ (all_0_29_29 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (716) can reduce 714 to:
% 265.21/207.05 | (477) ~ (e4 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 477 yields:
% 265.21/207.05 | (65) ~ (e4 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (716) can reduce 562 to:
% 265.21/207.05 | (429) ~ (e3 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 429 yields:
% 265.21/207.05 | (318) ~ (e3 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (716) can reduce 381 to:
% 265.21/207.05 | (37) ~ (e1 = e0)
% 265.21/207.05 |
% 265.21/207.05 | From (716) and (332) follows:
% 265.21/207.05 | (4337) op(e1, all_0_35_35) = e0
% 265.21/207.05 |
% 265.21/207.05 | From (716) and (24) follows:
% 265.21/207.05 | (4338) op(all_0_35_35, e1) = e4
% 265.21/207.05 |
% 265.21/207.05 | From (716) and (67) follows:
% 265.21/207.05 | (4339) op(e4, e0) = e1
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (10323), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (11104) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Applying alpha-rule on (11104) yields:
% 265.21/207.05 | (10607) all_0_11_11 = all_0_17_17
% 265.21/207.05 | (1501) ~ (all_0_17_17 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Instantiating formula (97) with e3, e1, e4, all_0_23_23 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 265.21/207.05 | (13914) all_0_23_23 = e4 | ~ (op(e3, e1) = e4)
% 265.21/207.05 |
% 265.21/207.05 | Instantiating formula (97) with e1, e1, e4, e1 and discharging atoms op(e1, e1) = e1, yields:
% 265.21/207.05 | (13915) e4 = e1 | ~ (op(e1, e1) = e4)
% 265.21/207.05 |
% 265.21/207.05 | Instantiating formula (97) with e1, e3, e0, all_0_31_31 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 265.21/207.05 | (13916) all_0_31_31 = e0 | ~ (op(e1, e3) = e0)
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (308), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (1175) all_0_20_20 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (1175) can reduce 211 to:
% 265.21/207.05 | (3383) ~ (all_0_22_22 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 3383 yields:
% 265.21/207.05 | (1018) ~ (all_0_22_22 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (1175) can reduce 272 to:
% 265.21/207.05 | (3684) ~ (all_0_23_23 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 3684 yields:
% 265.21/207.05 | (420) ~ (all_0_23_23 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (1175) can reduce 116 to:
% 265.21/207.05 | (3387) ~ (all_0_30_30 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 3387 yields:
% 265.21/207.05 | (422) ~ (all_0_30_30 = e1)
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (914), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (1453) all_0_20_20 = e4
% 265.21/207.05 |
% 265.21/207.05 | Combining equations (1175,1453) yields a new equation:
% 265.21/207.05 | (480) e4 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (480) can reduce 65 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (496) ~ (all_0_20_20 = e4)
% 265.21/207.05 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 265.21/207.05 |
% 265.21/207.05 | Equations (1175) can reduce 496 to:
% 265.21/207.05 | (477) ~ (e4 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 477 yields:
% 265.21/207.05 | (65) ~ (e4 = e1)
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (17), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (1498) all_0_17_17 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (1498) can reduce 1501 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (1501) ~ (all_0_17_17 = e1)
% 265.21/207.05 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (1502), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (999) all_0_22_22 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (999) can reduce 1018 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (1018) ~ (all_0_22_22 = e1)
% 265.21/207.05 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (1566), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (543) all_0_27_27 = e1
% 265.21/207.05 |
% 265.21/207.05 | Combining equations (543,435) yields a new equation:
% 265.21/207.05 | (480) e4 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (480) can reduce 65 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (402) ~ (all_0_27_27 = e1)
% 265.21/207.05 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (1586), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (1587) all_0_32_32 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (1587) can reduce 424 to:
% 265.21/207.05 | (366) $false
% 265.21/207.05 |
% 265.21/207.05 |-The branch is then unsatisfiable
% 265.21/207.05 |-Branch two:
% 265.21/207.05 | (424) ~ (all_0_32_32 = e1)
% 265.21/207.05 | (1590) all_0_37_37 = e1
% 265.21/207.05 |
% 265.21/207.05 | Equations (1590) can reduce 121 to:
% 265.21/207.05 | (1177) ~ (all_0_35_35 = e1)
% 265.21/207.05 |
% 265.21/207.05 | Equations (1590) can reduce 183 to:
% 265.21/207.05 | (1593) ~ (all_0_36_36 = e1)
% 265.21/207.05 |
% 265.21/207.05 +-Applying beta-rule and splitting (1181), into two cases.
% 265.21/207.05 |-Branch one:
% 265.21/207.05 | (814) all_0_35_35 = e3
% 265.21/207.05 |
% 265.21/207.05 | Equations (814) can reduce 98 to:
% 265.21/207.05 | (566) ~ (all_0_25_25 = e3)
% 265.21/207.05 |
% 265.21/207.05 | Equations (814) can reduce 273 to:
% 265.21/207.05 | (4164) ~ (all_0_36_36 = e3)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 4164 yields:
% 265.21/207.05 | (516) ~ (all_0_36_36 = e3)
% 265.21/207.05 |
% 265.21/207.05 | Equations (814) can reduce 173 to:
% 265.21/207.05 | (2070) ~ (all_0_38_38 = e3)
% 265.21/207.05 |
% 265.21/207.05 | Simplifying 2070 yields:
% 265.21/207.05 | (1080) ~ (all_0_38_38 = e3)
% 265.21/207.05 |
% 265.21/207.05 | Equations (814) can reduce 1177 to:
% 265.21/207.05 | (318) ~ (e3 = e1)
% 265.21/207.05 |
% 265.21/207.05 | From (814) and (4338) follows:
% 265.21/207.06 | (13957) op(e3, e1) = e4
% 265.21/207.06 |
% 265.21/207.06 | From (814) and (4337) follows:
% 265.21/207.06 | (13958) op(e1, e3) = e0
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (228), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (921) all_0_16_16 = e1
% 265.21/207.06 |
% 265.21/207.06 | Equations (921) can reduce 985 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (985) ~ (all_0_16_16 = e1)
% 265.21/207.06 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (245), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (1158) all_0_25_25 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (1158) can reduce 501 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (501) ~ (all_0_25_25 = e4)
% 265.21/207.06 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (986), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (526) all_0_21_21 = e1
% 265.21/207.06 |
% 265.21/207.06 | Combining equations (453,526) yields a new equation:
% 265.21/207.06 | (933) e3 = e1
% 265.21/207.06 |
% 265.21/207.06 | Simplifying 933 yields:
% 265.21/207.06 | (706) e3 = e1
% 265.21/207.06 |
% 265.21/207.06 | Equations (706) can reduce 318 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (363) ~ (all_0_21_21 = e1)
% 265.21/207.06 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (998), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (1005) all_0_26_26 = e1
% 265.21/207.06 |
% 265.21/207.06 | Equations (1005) can reduce 139 to:
% 265.21/207.06 | (985) ~ (all_0_16_16 = e1)
% 265.21/207.06 |
% 265.21/207.06 | Equations (1005) can reduce 128 to:
% 265.21/207.06 | (946) ~ (all_0_25_25 = e1)
% 265.21/207.06 |
% 265.21/207.06 | Equations (1005) can reduce 145 to:
% 265.21/207.06 | (1613) ~ (all_0_31_31 = e1)
% 265.21/207.06 |
% 265.21/207.06 | Simplifying 1613 yields:
% 265.21/207.06 | (423) ~ (all_0_31_31 = e1)
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (3136), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (2438) all_0_25_25 = e3
% 265.21/207.06 |
% 265.21/207.06 | Equations (2438) can reduce 566 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (566) ~ (all_0_25_25 = e3)
% 265.21/207.06 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (13916), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (13982) ~ (op(e1, e3) = e0)
% 265.21/207.06 |
% 265.21/207.06 | Using (13958) and (13982) yields:
% 265.21/207.06 | (821) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (13958) op(e1, e3) = e0
% 265.21/207.06 | (1060) all_0_31_31 = e0
% 265.21/207.06 |
% 265.21/207.06 | Equations (1060) can reduce 10 to:
% 265.21/207.06 | (824) ~ (all_0_16_16 = e0)
% 265.21/207.06 |
% 265.21/207.06 | Equations (1060) can reduce 423 to:
% 265.21/207.06 | (395) ~ (e1 = e0)
% 265.21/207.06 |
% 265.21/207.06 | Simplifying 395 yields:
% 265.21/207.06 | (37) ~ (e1 = e0)
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (270), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (701) all_0_16_16 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (701) can reduce 64 to:
% 265.21/207.06 | (585) ~ (all_0_36_36 = e4)
% 265.21/207.06 |
% 265.21/207.06 | Simplifying 585 yields:
% 265.21/207.06 | (586) ~ (all_0_36_36 = e4)
% 265.21/207.06 |
% 265.21/207.06 | Equations (701) can reduce 985 to:
% 265.21/207.06 | (65) ~ (e4 = e1)
% 265.21/207.06 |
% 265.21/207.06 | Equations (701) can reduce 824 to:
% 265.21/207.06 | (287) ~ (e4 = e0)
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (1456), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (1158) all_0_25_25 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (1158) can reduce 501 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (501) ~ (all_0_25_25 = e4)
% 265.21/207.06 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (1164), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (2611) all_0_36_36 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (2611) can reduce 586 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (586) ~ (all_0_36_36 = e4)
% 265.21/207.06 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (2633), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (1232) all_0_37_37 = e4
% 265.21/207.06 |
% 265.21/207.06 | Combining equations (1590,1232) yields a new equation:
% 265.21/207.06 | (480) e4 = e1
% 265.21/207.06 |
% 265.21/207.06 | Equations (480) can reduce 65 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (2658) ~ (all_0_37_37 = e4)
% 265.21/207.06 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (2659), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (1165) all_0_38_38 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (1165) can reduce 1080 to:
% 265.21/207.06 | (277) ~ (e4 = e3)
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (1460), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (768) all_0_30_30 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (768) can reduce 58 to:
% 265.21/207.06 | (501) ~ (all_0_25_25 = e4)
% 265.21/207.06 |
% 265.21/207.06 | Equations (768) can reduce 15 to:
% 265.21/207.06 | (2206) ~ (all_0_34_34 = e4)
% 265.21/207.06 |
% 265.21/207.06 | Simplifying 2206 yields:
% 265.21/207.06 | (1395) ~ (all_0_34_34 = e4)
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (3158), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (3159) all_0_25_25 = e2
% 265.21/207.06 |
% 265.21/207.06 | Equations (3159) can reduce 646 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (646) ~ (all_0_25_25 = e2)
% 265.21/207.06 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (715), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (685) all_0_24_24 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (685) can reduce 118 to:
% 265.21/207.06 | (578) ~ (all_0_23_23 = e4)
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (13914), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (14019) ~ (op(e3, e1) = e4)
% 265.21/207.06 |
% 265.21/207.06 | Using (13957) and (14019) yields:
% 265.21/207.06 | (821) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (13957) op(e3, e1) = e4
% 265.21/207.06 | (1515) all_0_23_23 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (1515) can reduce 578 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (580) ~ (all_0_24_24 = e4)
% 265.21/207.06 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (3162), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (950) all_0_25_25 = e1
% 265.21/207.06 |
% 265.21/207.06 | Equations (950) can reduce 946 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (946) ~ (all_0_25_25 = e1)
% 265.21/207.06 | (1921) all_0_25_25 = e0
% 265.21/207.06 |
% 265.21/207.06 | Equations (1921) can reduce 501 to:
% 265.21/207.06 | (389) ~ (e4 = e0)
% 265.21/207.06 |
% 265.21/207.06 | Simplifying 389 yields:
% 265.21/207.06 | (287) ~ (e4 = e0)
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (1400), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (1250) all_0_29_29 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (1250) can reduce 724 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (724) ~ (all_0_29_29 = e4)
% 265.21/207.06 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (1735), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (723) all_0_34_34 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (723) can reduce 1395 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (1395) ~ (all_0_34_34 = e4)
% 265.21/207.06 | (365) all_0_39_39 = e4
% 265.21/207.06 |
% 265.21/207.06 | Combining equations (365,380) yields a new equation:
% 265.21/207.06 | (842) e4 = e0
% 265.21/207.06 |
% 265.21/207.06 | Simplifying 842 yields:
% 265.21/207.06 | (490) e4 = e0
% 265.21/207.06 |
% 265.21/207.06 | Equations (490) can reduce 287 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (509) ~ (all_0_30_30 = e4)
% 265.21/207.06 | (1161) all_0_35_35 = e4
% 265.21/207.06 |
% 265.21/207.06 | Combining equations (814,1161) yields a new equation:
% 265.21/207.06 | (691) e4 = e3
% 265.21/207.06 |
% 265.21/207.06 | Equations (691) can reduce 277 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (1143) ~ (all_0_38_38 = e4)
% 265.21/207.06 | (365) all_0_39_39 = e4
% 265.21/207.06 |
% 265.21/207.06 | Combining equations (380,365) yields a new equation:
% 265.21/207.06 | (490) e4 = e0
% 265.21/207.06 |
% 265.21/207.06 | Equations (490) can reduce 287 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (573) ~ (all_0_16_16 = e4)
% 265.21/207.06 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (206), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (483) all_0_15_15 = e0
% 265.21/207.06 |
% 265.21/207.06 | Combining equations (483,472) yields a new equation:
% 265.21/207.06 | (551) e2 = e0
% 265.21/207.06 |
% 265.21/207.06 | Equations (551) can reduce 347 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (463) ~ (all_0_15_15 = e0)
% 265.21/207.06 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (1889), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (835) all_0_20_20 = e0
% 265.21/207.06 |
% 265.21/207.06 | Combining equations (835,1175) yields a new equation:
% 265.21/207.06 | (961) e1 = e0
% 265.21/207.06 |
% 265.21/207.06 | Equations (961) can reduce 37 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (839) ~ (all_0_20_20 = e0)
% 265.21/207.06 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (694), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (701) all_0_16_16 = e4
% 265.21/207.06 |
% 265.21/207.06 | Equations (701) can reduce 573 to:
% 265.21/207.06 | (366) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.06 | (573) ~ (all_0_16_16 = e4)
% 265.21/207.06 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (1920), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (1921) all_0_25_25 = e0
% 265.21/207.06 |
% 265.21/207.06 | Equations (1921) can reduce 501 to:
% 265.21/207.06 | (389) ~ (e4 = e0)
% 265.21/207.06 |
% 265.21/207.06 | Simplifying 389 yields:
% 265.21/207.06 | (287) ~ (e4 = e0)
% 265.21/207.06 |
% 265.21/207.06 +-Applying beta-rule and splitting (13914), into two cases.
% 265.21/207.06 |-Branch one:
% 265.21/207.06 | (14019) ~ (op(e3, e1) = e4)
% 265.21/207.06 |
% 265.21/207.06 | Using (13957) and (14019) yields:
% 265.21/207.06 | (821) $false
% 265.21/207.06 |
% 265.21/207.06 |-The branch is then unsatisfiable
% 265.21/207.06 |-Branch two:
% 265.21/207.07 | (13957) op(e3, e1) = e4
% 265.21/207.07 | (1515) all_0_23_23 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (1515) can reduce 110 to:
% 265.21/207.07 | (1046) ~ (all_0_18_18 = e4)
% 265.21/207.07 |
% 265.21/207.07 | Equations (1515) can reduce 982 to:
% 265.21/207.07 | (277) ~ (e4 = e3)
% 265.21/207.07 |
% 265.21/207.07 | Equations (1515) can reduce 420 to:
% 265.21/207.07 | (65) ~ (e4 = e1)
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (864), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (865) all_0_17_17 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (865) can reduce 869 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (869) ~ (all_0_17_17 = e4)
% 265.21/207.07 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (239), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (768) all_0_30_30 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (768) can reduce 422 to:
% 265.21/207.07 | (65) ~ (e4 = e1)
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (870), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (887) all_0_18_18 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (887) can reduce 1046 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (1046) ~ (all_0_18_18 = e4)
% 265.21/207.07 | (711) all_0_19_19 = e4
% 265.21/207.07 |
% 265.21/207.07 | Combining equations (711,716) yields a new equation:
% 265.21/207.07 | (955) e4 = e1
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 955 yields:
% 265.21/207.07 | (480) e4 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (480) can reduce 65 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (509) ~ (all_0_30_30 = e4)
% 265.21/207.07 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (163), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (701) all_0_16_16 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (701) can reduce 573 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (573) ~ (all_0_16_16 = e4)
% 265.21/207.07 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (6243), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (449) all_0_21_21 = e4
% 265.21/207.07 |
% 265.21/207.07 | Combining equations (453,449) yields a new equation:
% 265.21/207.07 | (691) e4 = e3
% 265.21/207.07 |
% 265.21/207.07 | Equations (691) can reduce 277 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (448) ~ (all_0_21_21 = e4)
% 265.21/207.07 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (6248), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (1237) all_0_26_26 = e4
% 265.21/207.07 |
% 265.21/207.07 | Combining equations (1005,1237) yields a new equation:
% 265.21/207.07 | (480) e4 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (480) can reduce 65 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (582) ~ (all_0_26_26 = e4)
% 265.21/207.07 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (327), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (768) all_0_30_30 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (768) can reduce 509 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (509) ~ (all_0_30_30 = e4)
% 265.21/207.07 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (1456), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (1158) all_0_25_25 = e4
% 265.21/207.07 |
% 265.21/207.07 | Combining equations (1921,1158) yields a new equation:
% 265.21/207.07 | (490) e4 = e0
% 265.21/207.07 |
% 265.21/207.07 | Equations (490) can reduce 287 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (501) ~ (all_0_25_25 = e4)
% 265.21/207.07 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (1921) can reduce 501 to:
% 265.21/207.07 | (389) ~ (e4 = e0)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 389 yields:
% 265.21/207.07 | (287) ~ (e4 = e0)
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (6263), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (1446) all_0_31_31 = e4
% 265.21/207.07 |
% 265.21/207.07 | Combining equations (1060,1446) yields a new equation:
% 265.21/207.07 | (490) e4 = e0
% 265.21/207.07 |
% 265.21/207.07 | Equations (490) can reduce 287 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (584) ~ (all_0_31_31 = e4)
% 265.21/207.07 | (2611) all_0_36_36 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (2611) can reduce 516 to:
% 265.21/207.07 | (277) ~ (e4 = e3)
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (1460), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (768) all_0_30_30 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (768) can reduce 509 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (509) ~ (all_0_30_30 = e4)
% 265.21/207.07 | (1161) all_0_35_35 = e4
% 265.21/207.07 |
% 265.21/207.07 | Combining equations (814,1161) yields a new equation:
% 265.21/207.07 | (691) e4 = e3
% 265.21/207.07 |
% 265.21/207.07 | Equations (691) can reduce 277 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (1925) ~ (all_0_25_25 = e0)
% 265.21/207.07 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (3158), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (3159) all_0_25_25 = e2
% 265.21/207.07 |
% 265.21/207.07 | Equations (3159) can reduce 646 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (646) ~ (all_0_25_25 = e2)
% 265.21/207.07 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (3162), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (950) all_0_25_25 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (950) can reduce 946 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (946) ~ (all_0_25_25 = e1)
% 265.21/207.07 | (1921) all_0_25_25 = e0
% 265.21/207.07 |
% 265.21/207.07 | Equations (1921) can reduce 1925 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (1008) ~ (all_0_26_26 = e1)
% 265.21/207.07 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (1009), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (1010) all_0_31_31 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (1010) can reduce 423 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (423) ~ (all_0_31_31 = e1)
% 265.21/207.07 | (1015) all_0_36_36 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (1015) can reduce 1593 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (570) ~ (all_0_35_35 = e3)
% 265.21/207.07 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (1185), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (797) all_0_35_35 = e2
% 265.21/207.07 |
% 265.21/207.07 | Equations (797) can reduce 742 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (742) ~ (all_0_35_35 = e2)
% 265.21/207.07 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (1195), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (1196) all_0_35_35 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (1196) can reduce 1177 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (1177) ~ (all_0_35_35 = e1)
% 265.21/207.07 | (1203) all_0_35_35 = e0
% 265.21/207.07 |
% 265.21/207.07 | Equations (1203) can reduce 385 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (1409) ~ (all_0_20_20 = e1)
% 265.21/207.07 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (4682), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (526) all_0_21_21 = e1
% 265.21/207.07 |
% 265.21/207.07 | Combining equations (453,526) yields a new equation:
% 265.21/207.07 | (933) e3 = e1
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 933 yields:
% 265.21/207.07 | (706) e3 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (706) can reduce 318 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (363) ~ (all_0_21_21 = e1)
% 265.21/207.07 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (4688), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (999) all_0_22_22 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (999) can reduce 202 to:
% 265.21/207.07 | (2561) ~ (all_0_37_37 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 2561 yields:
% 265.21/207.07 | (2562) ~ (all_0_37_37 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Equations (999) can reduce 576 to:
% 265.21/207.07 | (477) ~ (e4 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 477 yields:
% 265.21/207.07 | (65) ~ (e4 = e1)
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (271), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (1232) all_0_37_37 = e4
% 265.21/207.07 |
% 265.21/207.07 | Equations (1232) can reduce 2658 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (2658) ~ (all_0_37_37 = e4)
% 265.21/207.07 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (126), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (950) all_0_25_25 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (950) can reduce 128 to:
% 265.21/207.07 | (5348) ~ (all_0_26_26 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 5348 yields:
% 265.21/207.07 | (1008) ~ (all_0_26_26 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Equations (950) can reduce 98 to:
% 265.21/207.07 | (1176) ~ (all_0_35_35 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 1176 yields:
% 265.21/207.07 | (1177) ~ (all_0_35_35 = e1)
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (16), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (1196) all_0_35_35 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (1196) can reduce 1177 to:
% 265.21/207.07 | (366) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.07 | (1177) ~ (all_0_35_35 = e1)
% 265.21/207.07 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (1199), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (1015) all_0_36_36 = e1
% 265.21/207.07 |
% 265.21/207.07 | Equations (1015) can reduce 273 to:
% 265.21/207.07 | (1177) ~ (all_0_35_35 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Equations (1015) can reduce 183 to:
% 265.21/207.07 | (2561) ~ (all_0_37_37 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 2561 yields:
% 265.21/207.07 | (2562) ~ (all_0_37_37 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Equations (1015) can reduce 93 to:
% 265.21/207.07 | (427) ~ (all_0_38_38 = e1)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 427 yields:
% 265.21/207.07 | (428) ~ (all_0_38_38 = e1)
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (1181), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (814) all_0_35_35 = e3
% 265.21/207.07 |
% 265.21/207.07 | Equations (814) can reduce 121 to:
% 265.21/207.07 | (776) ~ (all_0_37_37 = e3)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 776 yields:
% 265.21/207.07 | (777) ~ (all_0_37_37 = e3)
% 265.21/207.07 |
% 265.21/207.07 | Equations (814) can reduce 173 to:
% 265.21/207.07 | (2070) ~ (all_0_38_38 = e3)
% 265.21/207.07 |
% 265.21/207.07 | Simplifying 2070 yields:
% 265.21/207.07 | (1080) ~ (all_0_38_38 = e3)
% 265.21/207.07 |
% 265.21/207.07 | From (814) and (4338) follows:
% 265.21/207.07 | (13957) op(e3, e1) = e4
% 265.21/207.07 |
% 265.21/207.07 +-Applying beta-rule and splitting (13914), into two cases.
% 265.21/207.07 |-Branch one:
% 265.21/207.07 | (14019) ~ (op(e3, e1) = e4)
% 265.21/207.07 |
% 265.21/207.07 | Using (13957) and (14019) yields:
% 265.21/207.07 | (821) $false
% 265.21/207.07 |
% 265.21/207.07 |-The branch is then unsatisfiable
% 265.21/207.07 |-Branch two:
% 265.21/207.08 | (13957) op(e3, e1) = e4
% 265.21/207.08 | (1515) all_0_23_23 = e4
% 265.21/207.08 |
% 265.21/207.08 | Equations (1515) can reduce 39 to:
% 265.21/207.08 | (1142) ~ (all_0_38_38 = e4)
% 265.21/207.08 |
% 265.21/207.08 | Simplifying 1142 yields:
% 265.21/207.08 | (1143) ~ (all_0_38_38 = e4)
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (3872), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1073) all_0_37_37 = e3
% 265.21/207.08 |
% 265.21/207.08 | Equations (1073) can reduce 777 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (777) ~ (all_0_37_37 = e3)
% 265.21/207.08 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (3886), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (805) all_0_37_37 = e2
% 265.21/207.08 |
% 265.21/207.08 | Equations (805) can reduce 354 to:
% 265.21/207.08 | (1130) ~ (all_0_38_38 = e2)
% 265.21/207.08 |
% 265.21/207.08 | Simplifying 1130 yields:
% 265.21/207.08 | (1084) ~ (all_0_38_38 = e2)
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (358), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1165) all_0_38_38 = e4
% 265.21/207.08 |
% 265.21/207.08 | Equations (1165) can reduce 1143 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1143) ~ (all_0_38_38 = e4)
% 265.21/207.08 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1168), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1077) all_0_38_38 = e3
% 265.21/207.08 |
% 265.21/207.08 | Equations (1077) can reduce 1080 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1080) ~ (all_0_38_38 = e3)
% 265.21/207.08 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1206), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (809) all_0_38_38 = e2
% 265.21/207.08 |
% 265.21/207.08 | Equations (809) can reduce 1084 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1084) ~ (all_0_38_38 = e2)
% 265.21/207.08 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1210), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1211) all_0_38_38 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1211) can reduce 428 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (428) ~ (all_0_38_38 = e1)
% 265.21/207.08 | (1214) all_0_38_38 = e0
% 265.21/207.08 |
% 265.21/207.08 | Equations (1214) can reduce 388 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (515) ~ (all_0_37_37 = e2)
% 265.21/207.08 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (3890), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1590) all_0_37_37 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1590) can reduce 2562 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (2562) ~ (all_0_37_37 = e1)
% 265.21/207.08 | (3111) all_0_37_37 = e0
% 265.21/207.08 |
% 265.21/207.08 | Equations (3111) can reduce 387 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (570) ~ (all_0_35_35 = e3)
% 265.21/207.08 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1185), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (797) all_0_35_35 = e2
% 265.21/207.08 |
% 265.21/207.08 | Equations (797) can reduce 742 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (742) ~ (all_0_35_35 = e2)
% 265.21/207.08 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1195), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1196) all_0_35_35 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1196) can reduce 1177 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1177) ~ (all_0_35_35 = e1)
% 265.21/207.08 | (1203) all_0_35_35 = e0
% 265.21/207.08 |
% 265.21/207.08 | Equations (1203) can reduce 385 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1593) ~ (all_0_36_36 = e1)
% 265.21/207.08 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1181), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (814) all_0_35_35 = e3
% 265.21/207.08 |
% 265.21/207.08 | Equations (814) can reduce 1177 to:
% 265.21/207.08 | (318) ~ (e3 = e1)
% 265.21/207.08 |
% 265.21/207.08 | From (814) and (4337) follows:
% 265.21/207.08 | (13958) op(e1, e3) = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (228), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (921) all_0_16_16 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (921) can reduce 985 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (985) ~ (all_0_16_16 = e1)
% 265.21/207.08 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (986), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (526) all_0_21_21 = e1
% 265.21/207.08 |
% 265.21/207.08 | Combining equations (526,453) yields a new equation:
% 265.21/207.08 | (706) e3 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (706) can reduce 318 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (363) ~ (all_0_21_21 = e1)
% 265.21/207.08 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (13916), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (13982) ~ (op(e1, e3) = e0)
% 265.21/207.08 |
% 265.21/207.08 | Using (13958) and (13982) yields:
% 265.21/207.08 | (821) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (13958) op(e1, e3) = e0
% 265.21/207.08 | (1060) all_0_31_31 = e0
% 265.21/207.08 |
% 265.21/207.08 | Equations (1060) can reduce 423 to:
% 265.21/207.08 | (395) ~ (e1 = e0)
% 265.21/207.08 |
% 265.21/207.08 | Simplifying 395 yields:
% 265.21/207.08 | (37) ~ (e1 = e0)
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (998), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1005) all_0_26_26 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1005) can reduce 1008 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1008) ~ (all_0_26_26 = e1)
% 265.21/207.08 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1009), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1010) all_0_31_31 = e1
% 265.21/207.08 |
% 265.21/207.08 | Combining equations (1060,1010) yields a new equation:
% 265.21/207.08 | (961) e1 = e0
% 265.21/207.08 |
% 265.21/207.08 | Equations (961) can reduce 37 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (423) ~ (all_0_31_31 = e1)
% 265.21/207.08 | (1015) all_0_36_36 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1015) can reduce 1593 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (570) ~ (all_0_35_35 = e3)
% 265.21/207.08 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1185), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (797) all_0_35_35 = e2
% 265.21/207.08 |
% 265.21/207.08 | Equations (797) can reduce 742 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (742) ~ (all_0_35_35 = e2)
% 265.21/207.08 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1195), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1196) all_0_35_35 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1196) can reduce 1177 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1177) ~ (all_0_35_35 = e1)
% 265.21/207.08 | (1203) all_0_35_35 = e0
% 265.21/207.08 |
% 265.21/207.08 | Equations (1203) can reduce 385 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (946) ~ (all_0_25_25 = e1)
% 265.21/207.08 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (2009), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1005) all_0_26_26 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1005) can reduce 170 to:
% 265.21/207.08 | (2547) ~ (all_0_36_36 = e1)
% 265.21/207.08 |
% 265.21/207.08 | Simplifying 2547 yields:
% 265.21/207.08 | (1593) ~ (all_0_36_36 = e1)
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (16), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1196) all_0_35_35 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1196) can reduce 514 to:
% 265.21/207.08 | (477) ~ (e4 = e1)
% 265.21/207.08 |
% 265.21/207.08 | Simplifying 477 yields:
% 265.21/207.08 | (65) ~ (e4 = e1)
% 265.21/207.08 |
% 265.21/207.08 | From (1196) and (4338) follows:
% 265.21/207.08 | (479) op(e1, e1) = e4
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (13915), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (14294) ~ (op(e1, e1) = e4)
% 265.21/207.08 |
% 265.21/207.08 | Using (479) and (14294) yields:
% 265.21/207.08 | (821) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (479) op(e1, e1) = e4
% 265.21/207.08 | (480) e4 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (480) can reduce 65 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1177) ~ (all_0_35_35 = e1)
% 265.21/207.08 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (1199), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1015) all_0_36_36 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1015) can reduce 1593 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1593) ~ (all_0_36_36 = e1)
% 265.21/207.08 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (2672), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1590) all_0_37_37 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1590) can reduce 2562 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (2562) ~ (all_0_37_37 = e1)
% 265.21/207.08 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (2676), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (1211) all_0_38_38 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (1211) can reduce 428 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (428) ~ (all_0_38_38 = e1)
% 265.21/207.08 | (377) all_0_39_39 = e1
% 265.21/207.08 |
% 265.21/207.08 | Combining equations (380,377) yields a new equation:
% 265.21/207.08 | (961) e1 = e0
% 265.21/207.08 |
% 265.21/207.08 | Equations (961) can reduce 37 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (1008) ~ (all_0_26_26 = e1)
% 265.21/207.08 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 265.21/207.08 |
% 265.21/207.08 +-Applying beta-rule and splitting (2035), into two cases.
% 265.21/207.08 |-Branch one:
% 265.21/207.08 | (543) all_0_27_27 = e1
% 265.21/207.08 |
% 265.21/207.08 | Combining equations (543,435) yields a new equation:
% 265.21/207.08 | (480) e4 = e1
% 265.21/207.08 |
% 265.21/207.08 | Equations (480) can reduce 65 to:
% 265.21/207.08 | (366) $false
% 265.21/207.08 |
% 265.21/207.08 |-The branch is then unsatisfiable
% 265.21/207.08 |-Branch two:
% 265.21/207.08 | (402) ~ (all_0_27_27 = e1)
% 265.21/207.09 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (2041), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (1041) all_0_28_28 = e1
% 265.21/207.09 |
% 265.21/207.09 | Equations (1041) can reduce 421 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (421) ~ (all_0_28_28 = e1)
% 265.21/207.09 | (945) all_0_29_29 = e1
% 265.21/207.09 |
% 265.21/207.09 | Equations (945) can reduce 952 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (1018) ~ (all_0_22_22 = e1)
% 265.21/207.09 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (5033), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (3952) all_0_23_23 = e1
% 265.21/207.09 |
% 265.21/207.09 | Equations (3952) can reduce 420 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (420) ~ (all_0_23_23 = e1)
% 265.21/207.09 | (940) all_0_24_24 = e1
% 265.21/207.09 |
% 265.21/207.09 | Equations (940) can reduce 943 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (11110) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 265.21/207.09 |
% 265.21/207.09 | Applying alpha-rule on (11110) yields:
% 265.21/207.09 | (10607) all_0_11_11 = all_0_17_17
% 265.21/207.09 | (11112) ( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 265.21/207.09 |
% 265.21/207.09 | Instantiating formula (97) with e3, e1, e4, all_0_23_23 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 265.21/207.09 | (13914) all_0_23_23 = e4 | ~ (op(e3, e1) = e4)
% 265.21/207.09 |
% 265.21/207.09 | Instantiating formula (97) with e1, e3, e0, all_0_31_31 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 265.21/207.09 | (13916) all_0_31_31 = e0 | ~ (op(e1, e3) = e0)
% 265.21/207.09 |
% 265.21/207.09 | Instantiating formula (97) with e1, e1, e0, e1 and discharging atoms op(e1, e1) = e1, yields:
% 265.21/207.09 | (14339) e1 = e0 | ~ (op(e1, e1) = e0)
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (72), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (468) all_0_15_15 = e3
% 265.21/207.09 |
% 265.21/207.09 | Combining equations (468,472) yields a new equation:
% 265.21/207.09 | (3874) e3 = e2
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 3874 yields:
% 265.21/207.09 | (764) e3 = e2
% 265.21/207.09 |
% 265.21/207.09 | Equations (764) can reduce 56 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (433) ~ (all_0_15_15 = e3)
% 265.21/207.09 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (17), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (1498) all_0_17_17 = e1
% 265.21/207.09 |
% 265.21/207.09 | Equations (1498) can reduce 1501 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (1501) ~ (all_0_17_17 = e1)
% 265.21/207.09 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (240), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (865) all_0_17_17 = e4
% 265.21/207.09 |
% 265.21/207.09 | Equations (865) can reduce 869 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (869) ~ (all_0_17_17 = e4)
% 265.21/207.09 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (270), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (701) all_0_16_16 = e4
% 265.21/207.09 |
% 265.21/207.09 | Equations (701) can reduce 169 to:
% 265.21/207.09 | (11516) ~ (all_0_17_17 = e4)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 11516 yields:
% 265.21/207.09 | (869) ~ (all_0_17_17 = e4)
% 265.21/207.09 |
% 265.21/207.09 | Equations (701) can reduce 10 to:
% 265.21/207.09 | (583) ~ (all_0_31_31 = e4)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 583 yields:
% 265.21/207.09 | (584) ~ (all_0_31_31 = e4)
% 265.21/207.09 |
% 265.21/207.09 | Equations (701) can reduce 64 to:
% 265.21/207.09 | (585) ~ (all_0_36_36 = e4)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 585 yields:
% 265.21/207.09 | (586) ~ (all_0_36_36 = e4)
% 265.21/207.09 |
% 265.21/207.09 | Equations (701) can reduce 458 to:
% 265.21/207.09 | (277) ~ (e4 = e3)
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (1164), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (2611) all_0_36_36 = e4
% 265.21/207.09 |
% 265.21/207.09 | Equations (2611) can reduce 586 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (586) ~ (all_0_36_36 = e4)
% 265.21/207.09 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (2633), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (1232) all_0_37_37 = e4
% 265.21/207.09 |
% 265.21/207.09 | Equations (1232) can reduce 2658 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (2658) ~ (all_0_37_37 = e4)
% 265.21/207.09 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (2659), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (1165) all_0_38_38 = e4
% 265.21/207.09 |
% 265.21/207.09 | Equations (1165) can reduce 142 to:
% 265.21/207.09 | (1046) ~ (all_0_18_18 = e4)
% 265.21/207.09 |
% 265.21/207.09 | Equations (1165) can reduce 39 to:
% 265.21/207.09 | (578) ~ (all_0_23_23 = e4)
% 265.21/207.09 |
% 265.21/207.09 | Equations (1165) can reduce 428 to:
% 265.21/207.09 | (65) ~ (e4 = e1)
% 265.21/207.09 |
% 265.21/207.09 | Equations (1165) can reduce 388 to:
% 265.21/207.09 | (287) ~ (e4 = e0)
% 265.21/207.09 |
% 265.21/207.09 | From (1165) and (181) follows:
% 265.21/207.09 | (3335) op(all_0_34_34, e4) = e0
% 265.21/207.09 |
% 265.21/207.09 | Instantiating formula (97) with e4, e4, e0, e2 and discharging atoms op(e4, e4) = e2, yields:
% 265.21/207.09 | (10360) e2 = e0 | ~ (op(e4, e4) = e0)
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (269), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (1134) all_0_18_18 = e3
% 265.21/207.09 |
% 265.21/207.09 | Equations (1134) can reduce 74 to:
% 265.21/207.09 | (558) ~ (all_0_17_17 = e3)
% 265.21/207.09 |
% 265.21/207.09 | Equations (1134) can reduce 110 to:
% 265.21/207.09 | (3066) ~ (all_0_23_23 = e3)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 3066 yields:
% 265.21/207.09 | (982) ~ (all_0_23_23 = e3)
% 265.21/207.09 |
% 265.21/207.09 | Equations (1134) can reduce 1046 to:
% 265.21/207.09 | (695) ~ (e4 = e3)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 695 yields:
% 265.21/207.09 | (277) ~ (e4 = e3)
% 265.21/207.09 |
% 265.21/207.09 | From (1134) and (238) follows:
% 265.21/207.09 | (14383) op(e3, all_0_30_30) = e1
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (334), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (483) all_0_15_15 = e0
% 265.21/207.09 |
% 265.21/207.09 | Combining equations (483,472) yields a new equation:
% 265.21/207.09 | (551) e2 = e0
% 265.21/207.09 |
% 265.21/207.09 | Equations (551) can reduce 347 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (463) ~ (all_0_15_15 = e0)
% 265.21/207.09 | (2584) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (2584), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (873) all_0_16_16 = e0
% 265.21/207.09 |
% 265.21/207.09 | Combining equations (701,873) yields a new equation:
% 265.21/207.09 | (842) e4 = e0
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 842 yields:
% 265.21/207.09 | (490) e4 = e0
% 265.21/207.09 |
% 265.21/207.09 | Equations (490) can reduce 287 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (824) ~ (all_0_16_16 = e0)
% 265.21/207.09 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (1961), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (1970) all_0_17_17 = e3
% 265.21/207.09 |
% 265.21/207.09 | Equations (1970) can reduce 558 to:
% 265.21/207.09 | (366) $false
% 265.21/207.09 |
% 265.21/207.09 |-The branch is then unsatisfiable
% 265.21/207.09 |-Branch two:
% 265.21/207.09 | (558) ~ (all_0_17_17 = e3)
% 265.21/207.09 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 265.21/207.09 |
% 265.21/207.09 +-Applying beta-rule and splitting (2692), into two cases.
% 265.21/207.09 |-Branch one:
% 265.21/207.09 | (823) all_0_17_17 = e0
% 265.21/207.09 |
% 265.21/207.09 | Combining equations (823,10607) yields a new equation:
% 265.21/207.09 | (6780) all_0_11_11 = e0
% 265.21/207.09 |
% 265.21/207.09 | Equations (823) can reduce 184 to:
% 265.21/207.09 | (825) ~ (all_0_22_22 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 825 yields:
% 265.21/207.09 | (826) ~ (all_0_22_22 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Equations (823) can reduce 286 to:
% 265.21/207.09 | (2961) ~ (all_0_32_32 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 2961 yields:
% 265.21/207.09 | (1946) ~ (all_0_32_32 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Equations (823) can reduce 869 to:
% 265.21/207.09 | (389) ~ (e4 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 389 yields:
% 265.21/207.09 | (287) ~ (e4 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Equations (823) can reduce 459 to:
% 265.21/207.09 | (393) ~ (e2 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 393 yields:
% 265.21/207.09 | (347) ~ (e2 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Equations (823) can reduce 1501 to:
% 265.21/207.09 | (395) ~ (e1 = e0)
% 265.21/207.09 |
% 265.21/207.09 | Simplifying 395 yields:
% 265.21/207.09 | (37) ~ (e1 = e0)
% 265.21/207.09 |
% 265.21/207.09 | From (823) and (57) follows:
% 265.21/207.09 | (14411) op(e0, all_0_25_25) = e2
% 265.21/207.09 |
% 265.21/207.09 | From (823) and (49) follows:
% 265.21/207.09 | (14412) op(all_0_25_25, e0) = e4
% 265.21/207.09 |
% 265.27/207.09 +-Applying beta-rule and splitting (11112), into two cases.
% 265.27/207.09 |-Branch one:
% 265.27/207.09 | (13616) ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9
% 265.27/207.09 |
% 265.27/207.10 | Applying alpha-rule on (13616) yields:
% 265.27/207.10 | (13617) ~ (all_0_9_9 = e3)
% 265.27/207.10 | (13359) op(e4, all_0_17_17) = all_0_9_9
% 265.27/207.10 |
% 265.27/207.10 | From (823) and (13359) follows:
% 265.27/207.10 | (13601) op(e4, e0) = all_0_9_9
% 265.27/207.10 |
% 265.27/207.10 | Instantiating formula (97) with e0, e0, e4, e0 and discharging atoms op(e0, e0) = e0, yields:
% 265.27/207.10 | (13612) e4 = e0 | ~ (op(e0, e0) = e4)
% 265.27/207.10 |
% 265.27/207.10 | Instantiating formula (97) with e4, e0, all_0_9_9, e1 and discharging atoms op(e4, e0) = all_0_9_9, op(e4, e0) = e1, yields:
% 265.27/207.10 | (13721) all_0_9_9 = e1
% 265.27/207.10 |
% 265.27/207.10 | Instantiating formula (97) with e3, e4, e1, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 265.27/207.10 | (732) all_0_20_20 = e1 | ~ (op(e3, e4) = e1)
% 265.27/207.10 |
% 265.27/207.10 | Instantiating formula (97) with e0, e3, e2, all_0_36_36 and discharging atoms op(e0, e3) = all_0_36_36, yields:
% 265.27/207.10 | (14420) all_0_36_36 = e2 | ~ (op(e0, e3) = e2)
% 265.27/207.10 |
% 265.27/207.10 | Instantiating formula (97) with e0, e0, e2, e0 and discharging atoms op(e0, e0) = e0, yields:
% 265.27/207.10 | (2904) e2 = e0 | ~ (op(e0, e0) = e2)
% 265.27/207.10 |
% 265.27/207.10 +-Applying beta-rule and splitting (10275), into two cases.
% 265.27/207.10 |-Branch one:
% 265.27/207.10 | (10606) all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e0)
% 265.27/207.10 |
% 265.27/207.10 | Applying alpha-rule on (10606) yields:
% 265.27/207.10 | (10607) all_0_11_11 = all_0_17_17
% 265.27/207.10 | (2422) ~ (all_0_17_17 = e0)
% 265.27/207.10 |
% 265.27/207.10 | Combining equations (10607,6780) yields a new equation:
% 265.27/207.10 | (13590) all_0_17_17 = e0
% 265.27/207.10 |
% 265.27/207.10 | Simplifying 13590 yields:
% 265.27/207.10 | (823) all_0_17_17 = e0
% 265.27/207.10 |
% 265.27/207.10 | Equations (823) can reduce 2422 to:
% 265.27/207.10 | (366) $false
% 265.27/207.10 |
% 265.27/207.10 |-The branch is then unsatisfiable
% 265.27/207.10 |-Branch two:
% 265.27/207.10 | (10963) all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10))
% 265.27/207.10 |
% 265.27/207.10 | Applying alpha-rule on (10963) yields:
% 265.27/207.10 | (10607) all_0_11_11 = all_0_17_17
% 265.27/207.10 | (10965) ( ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10)
% 265.27/207.10 |
% 265.27/207.10 | Combining equations (10607,6780) yields a new equation:
% 265.27/207.10 | (13590) all_0_17_17 = e0
% 265.27/207.10 |
% 265.27/207.10 | Simplifying 13590 yields:
% 265.27/207.10 | (823) all_0_17_17 = e0
% 265.27/207.10 |
% 265.27/207.10 +-Applying beta-rule and splitting (10965), into two cases.
% 265.27/207.10 |-Branch one:
% 265.27/207.10 | (13598) ~ (all_0_9_9 = e1) & op(e4, all_0_17_17) = all_0_9_9
% 265.27/207.10 |
% 265.27/207.10 | Applying alpha-rule on (13598) yields:
% 265.27/207.10 | (13599) ~ (all_0_9_9 = e1)
% 265.27/207.10 | (13359) op(e4, all_0_17_17) = all_0_9_9
% 265.27/207.10 |
% 265.27/207.10 | Equations (13721) can reduce 13599 to:
% 265.27/207.10 | (366) $false
% 265.27/207.10 |
% 265.27/207.10 |-The branch is then unsatisfiable
% 265.27/207.10 |-Branch two:
% 265.27/207.10 | (13363) ~ (all_0_10_10 = e3) & op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.27/207.10 |
% 265.27/207.10 | Applying alpha-rule on (13363) yields:
% 265.27/207.10 | (13364) ~ (all_0_10_10 = e3)
% 265.27/207.10 | (13365) op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.27/207.10 |
% 265.27/207.10 | From (823)(823) and (13365) follows:
% 265.27/207.10 | (13623) op(e0, e0) = all_0_10_10
% 265.27/207.10 |
% 265.27/207.11 +-Applying beta-rule and splitting (13612), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (6403) ~ (op(e0, e0) = e4)
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (2904), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (3074) ~ (op(e0, e0) = e2)
% 265.27/207.11 |
% 265.27/207.11 | Instantiating formula (97) with e0, e0, all_0_10_10, e0 and discharging atoms op(e0, e0) = all_0_10_10, op(e0, e0) = e0, yields:
% 265.27/207.11 | (13626) all_0_10_10 = e0
% 265.27/207.11 |
% 265.27/207.11 | Using (14412) and (6403) yields:
% 265.27/207.11 | (1925) ~ (all_0_25_25 = e0)
% 265.27/207.11 |
% 265.27/207.11 | Using (13623) and (6403) yields:
% 265.27/207.11 | (13627) ~ (all_0_10_10 = e4)
% 265.27/207.11 |
% 265.27/207.11 | Using (13623) and (3074) yields:
% 265.27/207.11 | (14446) ~ (all_0_10_10 = e2)
% 265.27/207.11 |
% 265.27/207.11 | Equations (13626) can reduce 13627 to:
% 265.27/207.11 | (389) ~ (e4 = e0)
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 389 yields:
% 265.27/207.11 | (287) ~ (e4 = e0)
% 265.27/207.11 |
% 265.27/207.11 | Equations (13626) can reduce 14446 to:
% 265.27/207.11 | (393) ~ (e2 = e0)
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 393 yields:
% 265.27/207.11 | (347) ~ (e2 = e0)
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (327), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (768) all_0_30_30 = e4
% 265.27/207.11 |
% 265.27/207.11 | Equations (768) can reduce 116 to:
% 265.27/207.11 | (496) ~ (all_0_20_20 = e4)
% 265.27/207.11 |
% 265.27/207.11 | Equations (768) can reduce 58 to:
% 265.27/207.11 | (501) ~ (all_0_25_25 = e4)
% 265.27/207.11 |
% 265.27/207.11 | From (768) and (14383) follows:
% 265.27/207.11 | (1171) op(e3, e4) = e1
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (256), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (1453) all_0_20_20 = e4
% 265.27/207.11 |
% 265.27/207.11 | Equations (1453) can reduce 496 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (496) ~ (all_0_20_20 = e4)
% 265.27/207.11 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (127), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (790) all_0_30_30 = e0
% 265.27/207.11 |
% 265.27/207.11 | Combining equations (768,790) yields a new equation:
% 265.27/207.11 | (842) e4 = e0
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 842 yields:
% 265.27/207.11 | (490) e4 = e0
% 265.27/207.11 |
% 265.27/207.11 | Equations (490) can reduce 287 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (1878) ~ (all_0_30_30 = e0)
% 265.27/207.11 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (732), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (1172) ~ (op(e3, e4) = e1)
% 265.27/207.11 |
% 265.27/207.11 | Using (1171) and (1172) yields:
% 265.27/207.11 | (821) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (1171) op(e3, e4) = e1
% 265.27/207.11 | (1175) all_0_20_20 = e1
% 265.27/207.11 |
% 265.27/207.11 | Equations (1175) can reduce 211 to:
% 265.27/207.11 | (3383) ~ (all_0_22_22 = e1)
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 3383 yields:
% 265.27/207.11 | (1018) ~ (all_0_22_22 = e1)
% 265.27/207.11 |
% 265.27/207.11 | Equations (1175) can reduce 95 to:
% 265.27/207.11 | (4378) ~ (all_0_25_25 = e1)
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 4378 yields:
% 265.27/207.11 | (946) ~ (all_0_25_25 = e1)
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (126), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (950) all_0_25_25 = e1
% 265.27/207.11 |
% 265.27/207.11 | Equations (950) can reduce 946 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (946) ~ (all_0_25_25 = e1)
% 265.27/207.11 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (135), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (835) all_0_20_20 = e0
% 265.27/207.11 |
% 265.27/207.11 | Combining equations (1175,835) yields a new equation:
% 265.27/207.11 | (960) e1 = e0
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 960 yields:
% 265.27/207.11 | (961) e1 = e0
% 265.27/207.11 |
% 265.27/207.11 | Equations (961) can reduce 37 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (839) ~ (all_0_20_20 = e0)
% 265.27/207.11 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 265.27/207.11 |
% 265.27/207.11 | Equations (1175) can reduce 839 to:
% 265.27/207.11 | (37) ~ (e1 = e0)
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (7219), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (449) all_0_21_21 = e4
% 265.27/207.11 |
% 265.27/207.11 | Combining equations (453,449) yields a new equation:
% 265.27/207.11 | (691) e4 = e3
% 265.27/207.11 |
% 265.27/207.11 | Equations (691) can reduce 277 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (448) ~ (all_0_21_21 = e4)
% 265.27/207.11 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (245), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (1158) all_0_25_25 = e4
% 265.27/207.11 |
% 265.27/207.11 | Equations (1158) can reduce 501 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (501) ~ (all_0_25_25 = e4)
% 265.27/207.11 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (153), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (831) all_0_22_22 = e4
% 265.27/207.11 |
% 265.27/207.11 | Equations (831) can reduce 576 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (576) ~ (all_0_22_22 = e4)
% 265.27/207.11 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (1879), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (1060) all_0_31_31 = e0
% 265.27/207.11 |
% 265.27/207.11 | Equations (1060) can reduce 145 to:
% 265.27/207.11 | (1058) ~ (all_0_26_26 = e0)
% 265.27/207.11 |
% 265.27/207.11 | Equations (1060) can reduce 7 to:
% 265.27/207.11 | (3457) ~ (all_0_36_36 = e0)
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 3457 yields:
% 265.27/207.11 | (386) ~ (all_0_36_36 = e0)
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (834), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (857) all_0_22_22 = e3
% 265.27/207.11 |
% 265.27/207.11 | Equations (857) can reduce 774 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (774) ~ (all_0_22_22 = e3)
% 265.27/207.11 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (860), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (917) all_0_22_22 = e2
% 265.27/207.11 |
% 265.27/207.11 | Equations (917) can reduce 576 to:
% 265.27/207.11 | (444) ~ (e4 = e2)
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 444 yields:
% 265.27/207.11 | (19) ~ (e4 = e2)
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (137), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (1515) all_0_23_23 = e4
% 265.27/207.11 |
% 265.27/207.11 | Equations (1515) can reduce 578 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (578) ~ (all_0_23_23 = e4)
% 265.27/207.11 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (3136), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (2438) all_0_25_25 = e3
% 265.27/207.11 |
% 265.27/207.11 | Equations (2438) can reduce 1925 to:
% 265.27/207.11 | (88) ~ (e3 = e0)
% 265.27/207.11 |
% 265.27/207.11 | From (2438) and (14411) follows:
% 265.27/207.11 | (14514) op(e0, e3) = e2
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (840), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (529) all_0_21_21 = e0
% 265.27/207.11 |
% 265.27/207.11 | Combining equations (453,529) yields a new equation:
% 265.27/207.11 | (979) e3 = e0
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 979 yields:
% 265.27/207.11 | (980) e3 = e0
% 265.27/207.11 |
% 265.27/207.11 | Equations (980) can reduce 88 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (398) ~ (all_0_21_21 = e0)
% 265.27/207.11 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (154), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (685) all_0_24_24 = e4
% 265.27/207.11 |
% 265.27/207.11 | Equations (685) can reduce 118 to:
% 265.27/207.11 | (578) ~ (all_0_23_23 = e4)
% 265.27/207.11 |
% 265.27/207.11 | Equations (685) can reduce 382 to:
% 265.27/207.11 | (287) ~ (e4 = e0)
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (14420), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (14524) ~ (op(e0, e3) = e2)
% 265.27/207.11 |
% 265.27/207.11 | Using (14514) and (14524) yields:
% 265.27/207.11 | (821) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (14514) op(e0, e3) = e2
% 265.27/207.11 | (801) all_0_36_36 = e2
% 265.27/207.11 |
% 265.27/207.11 | Equations (801) can reduce 386 to:
% 265.27/207.11 | (347) ~ (e2 = e0)
% 265.27/207.11 |
% 265.27/207.11 +-Applying beta-rule and splitting (846), into two cases.
% 265.27/207.11 |-Branch one:
% 265.27/207.11 | (847) all_0_22_22 = e0
% 265.27/207.11 |
% 265.27/207.11 | Combining equations (917,847) yields a new equation:
% 265.27/207.11 | (836) e2 = e0
% 265.27/207.11 |
% 265.27/207.11 | Simplifying 836 yields:
% 265.27/207.11 | (551) e2 = e0
% 265.27/207.11 |
% 265.27/207.11 | Equations (551) can reduce 347 to:
% 265.27/207.11 | (366) $false
% 265.27/207.11 |
% 265.27/207.11 |-The branch is then unsatisfiable
% 265.27/207.11 |-Branch two:
% 265.27/207.11 | (826) ~ (all_0_22_22 = e0)
% 265.27/207.12 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (850), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (851) all_0_23_23 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (851) can reduce 86 to:
% 265.27/207.12 | (885) ~ (all_0_28_28 = e0)
% 265.27/207.12 |
% 265.27/207.12 | Simplifying 885 yields:
% 265.27/207.12 | (886) ~ (all_0_28_28 = e0)
% 265.27/207.12 |
% 265.27/207.12 | Equations (851) can reduce 578 to:
% 265.27/207.12 | (389) ~ (e4 = e0)
% 265.27/207.12 |
% 265.27/207.12 | Simplifying 389 yields:
% 265.27/207.12 | (287) ~ (e4 = e0)
% 265.27/207.12 |
% 265.27/207.12 | Equations (851) can reduce 982 to:
% 265.27/207.12 | (391) ~ (e3 = e0)
% 265.27/207.12 |
% 265.27/207.12 | Simplifying 391 yields:
% 265.27/207.12 | (88) ~ (e3 = e0)
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (241), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1921) all_0_25_25 = e0
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (2438,1921) yields a new equation:
% 265.27/207.12 | (979) e3 = e0
% 265.27/207.12 |
% 265.27/207.12 | Simplifying 979 yields:
% 265.27/207.12 | (980) e3 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (980) can reduce 88 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (1925) ~ (all_0_25_25 = e0)
% 265.27/207.12 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1926), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (883) all_0_26_26 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (883) can reduce 1058 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (1058) ~ (all_0_26_26 = e0)
% 265.27/207.12 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (2527), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (546) all_0_27_27 = e0
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (435,546) yields a new equation:
% 265.27/207.12 | (842) e4 = e0
% 265.27/207.12 |
% 265.27/207.12 | Simplifying 842 yields:
% 265.27/207.12 | (490) e4 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (490) can reduce 287 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (434) ~ (all_0_27_27 = e0)
% 265.27/207.12 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (2533), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1044) all_0_28_28 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (1044) can reduce 886 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (886) ~ (all_0_28_28 = e0)
% 265.27/207.12 | (2537) all_0_29_29 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (2537) can reduce 383 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (1068) ~ (all_0_23_23 = e0)
% 265.27/207.12 | (1069) all_0_24_24 = e0
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (685,1069) yields a new equation:
% 265.27/207.12 | (842) e4 = e0
% 265.27/207.12 |
% 265.27/207.12 | Simplifying 842 yields:
% 265.27/207.12 | (490) e4 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (490) can reduce 287 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (580) ~ (all_0_24_24 = e4)
% 265.27/207.12 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (7224), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (831) all_0_22_22 = e4
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (917,831) yields a new equation:
% 265.27/207.12 | (539) e4 = e2
% 265.27/207.12 |
% 265.27/207.12 | Equations (539) can reduce 19 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (576) ~ (all_0_22_22 = e4)
% 265.27/207.12 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (7426), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1515) all_0_23_23 = e4
% 265.27/207.12 |
% 265.27/207.12 | Equations (1515) can reduce 578 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (578) ~ (all_0_23_23 = e4)
% 265.27/207.12 | (685) all_0_24_24 = e4
% 265.27/207.12 |
% 265.27/207.12 | Equations (685) can reduce 580 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (566) ~ (all_0_25_25 = e3)
% 265.27/207.12 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (3158), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (3159) all_0_25_25 = e2
% 265.27/207.12 |
% 265.27/207.12 | Equations (3159) can reduce 646 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (646) ~ (all_0_25_25 = e2)
% 265.27/207.12 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (3162), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (950) all_0_25_25 = e1
% 265.27/207.12 |
% 265.27/207.12 | Equations (950) can reduce 946 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (946) ~ (all_0_25_25 = e1)
% 265.27/207.12 | (1921) all_0_25_25 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (1921) can reduce 1925 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (493) ~ (all_0_22_22 = e2)
% 265.27/207.12 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (920), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (999) all_0_22_22 = e1
% 265.27/207.12 |
% 265.27/207.12 | Equations (999) can reduce 1018 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (1018) ~ (all_0_22_22 = e1)
% 265.27/207.12 | (847) all_0_22_22 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (847) can reduce 826 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (1064) ~ (all_0_31_31 = e0)
% 265.27/207.12 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1883), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1626) all_0_32_32 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (1626) can reduce 1946 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (1946) ~ (all_0_32_32 = e0)
% 265.27/207.12 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1947), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1254) all_0_33_33 = e0
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (1254,418) yields a new equation:
% 265.27/207.12 | (961) e1 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (961) can reduce 37 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (399) ~ (all_0_33_33 = e0)
% 265.27/207.12 | (1717) all_0_34_34 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (1717) can reduce 384 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (509) ~ (all_0_30_30 = e4)
% 265.27/207.12 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1437), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1446) all_0_31_31 = e4
% 265.27/207.12 |
% 265.27/207.12 | Equations (1446) can reduce 584 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (584) ~ (all_0_31_31 = e4)
% 265.27/207.12 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (914), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1453) all_0_20_20 = e4
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1449), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1229) all_0_32_32 = e4
% 265.27/207.12 |
% 265.27/207.12 | Equations (1229) can reduce 727 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (727) ~ (all_0_32_32 = e4)
% 265.27/207.12 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1476), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (406) all_0_33_33 = e4
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (418,406) yields a new equation:
% 265.27/207.12 | (480) e4 = e1
% 265.27/207.12 |
% 265.27/207.12 | Equations (480) can reduce 65 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (405) ~ (all_0_33_33 = e4)
% 265.27/207.12 | (723) all_0_34_34 = e4
% 265.27/207.12 |
% 265.27/207.12 | Equations (723) can reduce 384 to:
% 265.27/207.12 | (287) ~ (e4 = e0)
% 265.27/207.12 |
% 265.27/207.12 | From (723) and (3335) follows:
% 265.27/207.12 | (11357) op(e4, e4) = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (206), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (483) all_0_15_15 = e0
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (483,472) yields a new equation:
% 265.27/207.12 | (551) e2 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (551) can reduce 347 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (463) ~ (all_0_15_15 = e0)
% 265.27/207.12 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1889), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (835) all_0_20_20 = e0
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (1453,835) yields a new equation:
% 265.27/207.12 | (842) e4 = e0
% 265.27/207.12 |
% 265.27/207.12 | Simplifying 842 yields:
% 265.27/207.12 | (490) e4 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (490) can reduce 287 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (839) ~ (all_0_20_20 = e0)
% 265.27/207.12 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1920), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1921) all_0_25_25 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (1921) can reduce 1925 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (1925) ~ (all_0_25_25 = e0)
% 265.27/207.12 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (1938), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (790) all_0_30_30 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (790) can reduce 740 to:
% 265.27/207.12 | (393) ~ (e2 = e0)
% 265.27/207.12 |
% 265.27/207.12 | Simplifying 393 yields:
% 265.27/207.12 | (347) ~ (e2 = e0)
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (10360), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (11358) ~ (op(e4, e4) = e0)
% 265.27/207.12 |
% 265.27/207.12 | Using (11357) and (11358) yields:
% 265.27/207.12 | (821) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (11357) op(e4, e4) = e0
% 265.27/207.12 | (551) e2 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (551) can reduce 347 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (1878) ~ (all_0_30_30 = e0)
% 265.27/207.12 | (1203) all_0_35_35 = e0
% 265.27/207.12 |
% 265.27/207.12 | Equations (1203) can reduce 385 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (496) ~ (all_0_20_20 = e4)
% 265.27/207.12 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (256), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (1453) all_0_20_20 = e4
% 265.27/207.12 |
% 265.27/207.12 | Equations (1453) can reduce 496 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (496) ~ (all_0_20_20 = e4)
% 265.27/207.12 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (7219), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (449) all_0_21_21 = e4
% 265.27/207.12 |
% 265.27/207.12 | Combining equations (453,449) yields a new equation:
% 265.27/207.12 | (691) e4 = e3
% 265.27/207.12 |
% 265.27/207.12 | Equations (691) can reduce 277 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (448) ~ (all_0_21_21 = e4)
% 265.27/207.12 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 265.27/207.12 |
% 265.27/207.12 +-Applying beta-rule and splitting (7224), into two cases.
% 265.27/207.12 |-Branch one:
% 265.27/207.12 | (831) all_0_22_22 = e4
% 265.27/207.12 |
% 265.27/207.12 | Equations (831) can reduce 576 to:
% 265.27/207.12 | (366) $false
% 265.27/207.12 |
% 265.27/207.12 |-The branch is then unsatisfiable
% 265.27/207.12 |-Branch two:
% 265.27/207.12 | (576) ~ (all_0_22_22 = e4)
% 265.27/207.13 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (7426), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (1515) all_0_23_23 = e4
% 265.27/207.13 |
% 265.27/207.13 | Equations (1515) can reduce 578 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (578) ~ (all_0_23_23 = e4)
% 265.27/207.13 | (685) all_0_24_24 = e4
% 265.27/207.13 |
% 265.27/207.13 | Equations (685) can reduce 4 to:
% 265.27/207.13 | (2206) ~ (all_0_34_34 = e4)
% 265.27/207.13 |
% 265.27/207.13 | Simplifying 2206 yields:
% 265.27/207.13 | (1395) ~ (all_0_34_34 = e4)
% 265.27/207.13 |
% 265.27/207.13 | Equations (685) can reduce 943 to:
% 265.27/207.13 | (65) ~ (e4 = e1)
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (1449), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (1229) all_0_32_32 = e4
% 265.27/207.13 |
% 265.27/207.13 | Equations (1229) can reduce 727 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (727) ~ (all_0_32_32 = e4)
% 265.27/207.13 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (1476), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (406) all_0_33_33 = e4
% 265.27/207.13 |
% 265.27/207.13 | Combining equations (418,406) yields a new equation:
% 265.27/207.13 | (480) e4 = e1
% 265.27/207.13 |
% 265.27/207.13 | Equations (480) can reduce 65 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (405) ~ (all_0_33_33 = e4)
% 265.27/207.13 | (723) all_0_34_34 = e4
% 265.27/207.13 |
% 265.27/207.13 | Equations (723) can reduce 1395 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (550) op(e0, e0) = e2
% 265.27/207.13 | (551) e2 = e0
% 265.27/207.13 |
% 265.27/207.13 | Equations (551) can reduce 347 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (489) op(e0, e0) = e4
% 265.27/207.13 | (490) e4 = e0
% 265.27/207.13 |
% 265.27/207.13 | Equations (490) can reduce 287 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (13809) ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.27/207.13 |
% 265.27/207.13 | Applying alpha-rule on (13809) yields:
% 265.27/207.13 | (13810) ~ (all_0_10_10 = e0)
% 265.27/207.13 | (13365) op(all_0_17_17, all_0_17_17) = all_0_10_10
% 265.27/207.13 |
% 265.27/207.13 | From (823)(823) and (13365) follows:
% 265.27/207.13 | (13623) op(e0, e0) = all_0_10_10
% 265.27/207.13 |
% 265.27/207.13 | Instantiating formula (97) with e0, e0, all_0_10_10, e0 and discharging atoms op(e0, e0) = all_0_10_10, op(e0, e0) = e0, yields:
% 265.27/207.13 | (13626) all_0_10_10 = e0
% 265.27/207.13 |
% 265.27/207.13 | Equations (13626) can reduce 13810 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (2422) ~ (all_0_17_17 = e0)
% 265.27/207.13 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (1979), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (1980) all_0_17_17 = e2
% 265.27/207.13 |
% 265.27/207.13 | Equations (1980) can reduce 459 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (459) ~ (all_0_17_17 = e2)
% 265.27/207.13 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (1983), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (1498) all_0_17_17 = e1
% 265.27/207.13 |
% 265.27/207.13 | Equations (1498) can reduce 1501 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (1501) ~ (all_0_17_17 = e1)
% 265.27/207.13 | (823) all_0_17_17 = e0
% 265.27/207.13 |
% 265.27/207.13 | Equations (823) can reduce 2422 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (560) ~ (all_0_18_18 = e3)
% 265.27/207.13 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (7544), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (1287) all_0_16_16 = e3
% 265.27/207.13 |
% 265.27/207.13 | Combining equations (701,1287) yields a new equation:
% 265.27/207.13 | (690) e4 = e3
% 265.27/207.13 |
% 265.27/207.13 | Simplifying 690 yields:
% 265.27/207.13 | (691) e4 = e3
% 265.27/207.13 |
% 265.27/207.13 | Equations (691) can reduce 277 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (458) ~ (all_0_16_16 = e3)
% 265.27/207.13 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 265.27/207.13 |
% 265.27/207.13 | Equations (701) can reduce 458 to:
% 265.27/207.13 | (277) ~ (e4 = e3)
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (1137), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (978) all_0_23_23 = e3
% 265.27/207.13 |
% 265.27/207.13 | Equations (978) can reduce 982 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (982) ~ (all_0_23_23 = e3)
% 265.27/207.13 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (7699), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (1970) all_0_17_17 = e3
% 265.27/207.13 |
% 265.27/207.13 | Equations (1970) can reduce 132 to:
% 265.27/207.13 | (776) ~ (all_0_37_37 = e3)
% 265.27/207.13 |
% 265.27/207.13 | Simplifying 776 yields:
% 265.27/207.13 | (777) ~ (all_0_37_37 = e3)
% 265.27/207.13 |
% 265.27/207.13 | Equations (1970) can reduce 869 to:
% 265.27/207.13 | (695) ~ (e4 = e3)
% 265.27/207.13 |
% 265.27/207.13 | Simplifying 695 yields:
% 265.27/207.13 | (277) ~ (e4 = e3)
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (164), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (814) all_0_35_35 = e3
% 265.27/207.13 |
% 265.27/207.13 | From (814) and (4338) follows:
% 265.27/207.13 | (13957) op(e3, e1) = e4
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (13914), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (14019) ~ (op(e3, e1) = e4)
% 265.27/207.13 |
% 265.27/207.13 | Using (13957) and (14019) yields:
% 265.27/207.13 | (821) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (13957) op(e3, e1) = e4
% 265.27/207.13 | (1515) all_0_23_23 = e4
% 265.27/207.13 |
% 265.27/207.13 | Equations (1515) can reduce 578 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (570) ~ (all_0_35_35 = e3)
% 265.27/207.13 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (817), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (818) all_0_36_36 = e3
% 265.27/207.13 |
% 265.27/207.13 | Equations (818) can reduce 516 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.13 | (516) ~ (all_0_36_36 = e3)
% 265.27/207.13 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 265.27/207.13 |
% 265.27/207.13 +-Applying beta-rule and splitting (1072), into two cases.
% 265.27/207.13 |-Branch one:
% 265.27/207.13 | (1073) all_0_37_37 = e3
% 265.27/207.13 |
% 265.27/207.13 | Equations (1073) can reduce 777 to:
% 265.27/207.13 | (366) $false
% 265.27/207.13 |
% 265.27/207.13 |-The branch is then unsatisfiable
% 265.27/207.13 |-Branch two:
% 265.27/207.14 | (777) ~ (all_0_37_37 = e3)
% 265.27/207.14 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1076), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1077) all_0_38_38 = e3
% 265.27/207.14 |
% 265.27/207.14 | Combining equations (1165,1077) yields a new equation:
% 265.27/207.14 | (690) e4 = e3
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 690 yields:
% 265.27/207.14 | (691) e4 = e3
% 265.27/207.14 |
% 265.27/207.14 | Equations (691) can reduce 277 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (1080) ~ (all_0_38_38 = e3)
% 265.27/207.14 | (369) all_0_39_39 = e3
% 265.27/207.14 |
% 265.27/207.14 | Combining equations (369,380) yields a new equation:
% 265.27/207.14 | (979) e3 = e0
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 979 yields:
% 265.27/207.14 | (980) e3 = e0
% 265.27/207.14 |
% 265.27/207.14 | Equations (980) can reduce 88 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (558) ~ (all_0_17_17 = e3)
% 265.27/207.14 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (3084), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (896) all_0_28_28 = e3
% 265.27/207.14 |
% 265.27/207.14 | Equations (896) can reduce 300 to:
% 265.27/207.14 | (560) ~ (all_0_18_18 = e3)
% 265.27/207.14 |
% 265.27/207.14 | Equations (896) can reduce 421 to:
% 265.27/207.14 | (318) ~ (e3 = e1)
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (7722), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1134) all_0_18_18 = e3
% 265.27/207.14 |
% 265.27/207.14 | Equations (1134) can reduce 560 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (560) ~ (all_0_18_18 = e3)
% 265.27/207.14 | (927) all_0_19_19 = e3
% 265.27/207.14 |
% 265.27/207.14 | Combining equations (927,716) yields a new equation:
% 265.27/207.14 | (933) e3 = e1
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 933 yields:
% 265.27/207.14 | (706) e3 = e1
% 265.27/207.14 |
% 265.27/207.14 | Equations (706) can reduce 318 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (1035) ~ (all_0_28_28 = e3)
% 265.27/207.14 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (3089), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (410) all_0_33_33 = e3
% 265.27/207.14 |
% 265.27/207.14 | Combining equations (410,418) yields a new equation:
% 265.27/207.14 | (933) e3 = e1
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 933 yields:
% 265.27/207.14 | (706) e3 = e1
% 265.27/207.14 |
% 265.27/207.14 | Equations (706) can reduce 318 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (403) ~ (all_0_33_33 = e3)
% 265.27/207.14 | (1077) all_0_38_38 = e3
% 265.27/207.14 |
% 265.27/207.14 | Combining equations (1165,1077) yields a new equation:
% 265.27/207.14 | (690) e4 = e3
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 690 yields:
% 265.27/207.14 | (691) e4 = e3
% 265.27/207.14 |
% 265.27/207.14 | Equations (691) can reduce 277 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (1143) ~ (all_0_38_38 = e4)
% 265.27/207.14 | (365) all_0_39_39 = e4
% 265.27/207.14 |
% 265.27/207.14 | Combining equations (365,380) yields a new equation:
% 265.27/207.14 | (842) e4 = e0
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 842 yields:
% 265.27/207.14 | (490) e4 = e0
% 265.27/207.14 |
% 265.27/207.14 | Equations (490) can reduce 287 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (573) ~ (all_0_16_16 = e4)
% 265.27/207.14 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (694), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (701) all_0_16_16 = e4
% 265.27/207.14 |
% 265.27/207.14 | Equations (701) can reduce 573 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (573) ~ (all_0_16_16 = e4)
% 265.27/207.14 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (704), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1287) all_0_16_16 = e3
% 265.27/207.14 |
% 265.27/207.14 | Equations (1287) can reduce 458 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (458) ~ (all_0_16_16 = e3)
% 265.27/207.14 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (864), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (865) all_0_17_17 = e4
% 265.27/207.14 |
% 265.27/207.14 | Equations (865) can reduce 869 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (869) ~ (all_0_17_17 = e4)
% 265.27/207.14 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1290), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (697) all_0_16_16 = e2
% 265.27/207.14 |
% 265.27/207.14 | Equations (697) can reduce 664 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (664) ~ (all_0_16_16 = e2)
% 265.27/207.14 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1377), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (921) all_0_16_16 = e1
% 265.27/207.14 |
% 265.27/207.14 | Equations (921) can reduce 985 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (985) ~ (all_0_16_16 = e1)
% 265.27/207.14 | (873) all_0_16_16 = e0
% 265.27/207.14 |
% 265.27/207.14 | Equations (873) can reduce 169 to:
% 265.27/207.14 | (5572) ~ (all_0_17_17 = e0)
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 5572 yields:
% 265.27/207.14 | (2422) ~ (all_0_17_17 = e0)
% 265.27/207.14 |
% 265.27/207.14 | Equations (873) can reduce 9 to:
% 265.27/207.14 | (3378) ~ (all_0_18_18 = e0)
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 3378 yields:
% 265.27/207.14 | (1156) ~ (all_0_18_18 = e0)
% 265.27/207.14 |
% 265.27/207.14 | Equations (873) can reduce 10 to:
% 265.27/207.14 | (1856) ~ (all_0_31_31 = e0)
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 1856 yields:
% 265.27/207.14 | (1064) ~ (all_0_31_31 = e0)
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (870), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (887) all_0_18_18 = e4
% 265.27/207.14 |
% 265.27/207.14 | Equations (887) can reduce 142 to:
% 265.27/207.14 | (1142) ~ (all_0_38_38 = e4)
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 1142 yields:
% 265.27/207.14 | (1143) ~ (all_0_38_38 = e4)
% 265.27/207.14 |
% 265.27/207.14 | Equations (887) can reduce 1156 to:
% 265.27/207.14 | (287) ~ (e4 = e0)
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1961), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1970) all_0_17_17 = e3
% 265.27/207.14 |
% 265.27/207.14 | Equations (1970) can reduce 286 to:
% 265.27/207.14 | (6619) ~ (all_0_32_32 = e3)
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 6619 yields:
% 265.27/207.14 | (1089) ~ (all_0_32_32 = e3)
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1164), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (2611) all_0_36_36 = e4
% 265.27/207.14 |
% 265.27/207.14 | Equations (2611) can reduce 7 to:
% 265.27/207.14 | (584) ~ (all_0_31_31 = e4)
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (115), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1446) all_0_31_31 = e4
% 265.27/207.14 |
% 265.27/207.14 | Equations (1446) can reduce 584 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (584) ~ (all_0_31_31 = e4)
% 265.27/207.14 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1631), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (763) all_0_31_31 = e3
% 265.27/207.14 |
% 265.27/207.14 | Equations (763) can reduce 510 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (510) ~ (all_0_31_31 = e3)
% 265.27/207.14 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1635), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (751) all_0_31_31 = e2
% 265.27/207.14 |
% 265.27/207.14 | Equations (751) can reduce 247 to:
% 265.27/207.14 | (652) ~ (all_0_32_32 = e2)
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 652 yields:
% 265.27/207.14 | (508) ~ (all_0_32_32 = e2)
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (261), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1229) all_0_32_32 = e4
% 265.27/207.14 |
% 265.27/207.14 | Equations (1229) can reduce 727 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (727) ~ (all_0_32_32 = e4)
% 265.27/207.14 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1506), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (772) all_0_32_32 = e3
% 265.27/207.14 |
% 265.27/207.14 | Equations (772) can reduce 1089 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (1089) ~ (all_0_32_32 = e3)
% 265.27/207.14 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1618), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1101) all_0_32_32 = e2
% 265.27/207.14 |
% 265.27/207.14 | Equations (1101) can reduce 508 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (508) ~ (all_0_32_32 = e2)
% 265.27/207.14 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1622), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1587) all_0_32_32 = e1
% 265.27/207.14 |
% 265.27/207.14 | Equations (1587) can reduce 424 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (424) ~ (all_0_32_32 = e1)
% 265.27/207.14 | (1626) all_0_32_32 = e0
% 265.27/207.14 |
% 265.27/207.14 | Equations (1626) can reduce 508 to:
% 265.27/207.14 | (393) ~ (e2 = e0)
% 265.27/207.14 |
% 265.27/207.14 | Simplifying 393 yields:
% 265.27/207.14 | (347) ~ (e2 = e0)
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (16), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (1196) all_0_35_35 = e1
% 265.27/207.14 |
% 265.27/207.14 | Equations (1196) can reduce 385 to:
% 265.27/207.14 | (37) ~ (e1 = e0)
% 265.27/207.14 |
% 265.27/207.14 | From (1196) and (4337) follows:
% 265.27/207.14 | (14849) op(e1, e1) = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (14339), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (14850) ~ (op(e1, e1) = e0)
% 265.27/207.14 |
% 265.27/207.14 | Using (14849) and (14850) yields:
% 265.27/207.14 | (821) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (14849) op(e1, e1) = e0
% 265.27/207.14 | (961) e1 = e0
% 265.27/207.14 |
% 265.27/207.14 | Equations (961) can reduce 37 to:
% 265.27/207.14 | (366) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.14 | (1177) ~ (all_0_35_35 = e1)
% 265.27/207.14 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (1181), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (814) all_0_35_35 = e3
% 265.27/207.14 |
% 265.27/207.14 | From (814) and (4337) follows:
% 265.27/207.14 | (13958) op(e1, e3) = e0
% 265.27/207.14 |
% 265.27/207.14 +-Applying beta-rule and splitting (13916), into two cases.
% 265.27/207.14 |-Branch one:
% 265.27/207.14 | (13982) ~ (op(e1, e3) = e0)
% 265.27/207.14 |
% 265.27/207.14 | Using (13958) and (13982) yields:
% 265.27/207.14 | (821) $false
% 265.27/207.14 |
% 265.27/207.14 |-The branch is then unsatisfiable
% 265.27/207.14 |-Branch two:
% 265.27/207.15 | (13958) op(e1, e3) = e0
% 265.27/207.15 | (1060) all_0_31_31 = e0
% 265.27/207.15 |
% 265.27/207.15 | Combining equations (751,1060) yields a new equation:
% 265.27/207.15 | (836) e2 = e0
% 265.27/207.15 |
% 265.27/207.15 | Simplifying 836 yields:
% 265.27/207.15 | (551) e2 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (551) can reduce 347 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (570) ~ (all_0_35_35 = e3)
% 265.27/207.15 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (1185), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (797) all_0_35_35 = e2
% 265.27/207.15 |
% 265.27/207.15 | Equations (797) can reduce 742 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (742) ~ (all_0_35_35 = e2)
% 265.27/207.15 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (1195), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (1196) all_0_35_35 = e1
% 265.27/207.15 |
% 265.27/207.15 | Equations (1196) can reduce 1177 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (1177) ~ (all_0_35_35 = e1)
% 265.27/207.15 | (1203) all_0_35_35 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (1203) can reduce 385 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (1099) ~ (all_0_31_31 = e2)
% 265.27/207.15 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (1639), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (1010) all_0_31_31 = e1
% 265.27/207.15 |
% 265.27/207.15 | Equations (1010) can reduce 423 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (423) ~ (all_0_31_31 = e1)
% 265.27/207.15 | (1060) all_0_31_31 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (1060) can reduce 1064 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (586) ~ (all_0_36_36 = e4)
% 265.27/207.15 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (163), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (701) all_0_16_16 = e4
% 265.27/207.15 |
% 265.27/207.15 | Combining equations (873,701) yields a new equation:
% 265.27/207.15 | (490) e4 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (490) can reduce 287 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (573) ~ (all_0_16_16 = e4)
% 265.27/207.15 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.27/207.15 |
% 265.27/207.15 | Equations (873) can reduce 573 to:
% 265.27/207.15 | (389) ~ (e4 = e0)
% 265.27/207.15 |
% 265.27/207.15 | Simplifying 389 yields:
% 265.27/207.15 | (287) ~ (e4 = e0)
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (2633), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (1232) all_0_37_37 = e4
% 265.27/207.15 |
% 265.27/207.15 | Equations (1232) can reduce 2658 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (2658) ~ (all_0_37_37 = e4)
% 265.27/207.15 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (2659), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (1165) all_0_38_38 = e4
% 265.27/207.15 |
% 265.27/207.15 | Equations (1165) can reduce 1143 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (1143) ~ (all_0_38_38 = e4)
% 265.27/207.15 | (365) all_0_39_39 = e4
% 265.27/207.15 |
% 265.27/207.15 | Combining equations (365,380) yields a new equation:
% 265.27/207.15 | (842) e4 = e0
% 265.27/207.15 |
% 265.27/207.15 | Simplifying 842 yields:
% 265.27/207.15 | (490) e4 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (490) can reduce 287 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (558) ~ (all_0_17_17 = e3)
% 265.27/207.15 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (1979), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (1980) all_0_17_17 = e2
% 265.27/207.15 |
% 265.27/207.15 | Equations (1980) can reduce 459 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (459) ~ (all_0_17_17 = e2)
% 265.27/207.15 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (1983), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (1498) all_0_17_17 = e1
% 265.27/207.15 |
% 265.27/207.15 | Equations (1498) can reduce 1501 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (1501) ~ (all_0_17_17 = e1)
% 265.27/207.15 | (823) all_0_17_17 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (823) can reduce 2422 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (1046) ~ (all_0_18_18 = e4)
% 265.27/207.15 | (711) all_0_19_19 = e4
% 265.27/207.15 |
% 265.27/207.15 | Combining equations (716,711) yields a new equation:
% 265.27/207.15 | (480) e4 = e1
% 265.27/207.15 |
% 265.27/207.15 | Equations (480) can reduce 65 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (720) ~ (all_0_19_19 = e1)
% 265.27/207.15 | (2703) all_0_19_19 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (2703) can reduce 381 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (507) ~ (all_0_33_33 = e1)
% 265.27/207.15 | (1254) all_0_33_33 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (1254) can reduce 399 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (406) all_0_33_33 = e4
% 265.27/207.15 | (5529) (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 265.27/207.15 |
% 265.27/207.15 | From (406)(406) and (148) follows:
% 265.27/207.15 | (5450) op(e4, e4) = e1
% 265.27/207.15 |
% 265.27/207.15 | Instantiating formula (97) with e4, e4, e1, e2 and discharging atoms op(e4, e4) = e2, op(e4, e4) = e1, yields:
% 265.27/207.15 | (718) e2 = e1
% 265.27/207.15 |
% 265.27/207.15 | Equations (718) can reduce 329 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (494) ~ (all_0_21_21 = e3)
% 265.27/207.15 | (521) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (521), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (522) all_0_21_21 = e2
% 265.27/207.15 |
% 265.27/207.15 | Equations (522) can reduce 361 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (361) ~ (all_0_21_21 = e2)
% 265.27/207.15 | (525) all_0_21_21 = e1 | all_0_21_21 = e0
% 265.27/207.15 |
% 265.27/207.15 +-Applying beta-rule and splitting (525), into two cases.
% 265.27/207.15 |-Branch one:
% 265.27/207.15 | (526) all_0_21_21 = e1
% 265.27/207.15 |
% 265.27/207.15 | Equations (526) can reduce 363 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (363) ~ (all_0_21_21 = e1)
% 265.27/207.15 | (529) all_0_21_21 = e0
% 265.27/207.15 |
% 265.27/207.15 | Equations (529) can reduce 398 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (449) all_0_21_21 = e4
% 265.27/207.15 | (629) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 265.27/207.15 |
% 265.27/207.15 | From (449)(449) and (138) follows:
% 265.27/207.15 | (533) op(e4, e4) = e3
% 265.27/207.15 |
% 265.27/207.15 | Instantiating formula (97) with e4, e4, e3, e2 and discharging atoms op(e4, e4) = e3, op(e4, e4) = e2, yields:
% 265.27/207.15 | (764) e3 = e2
% 265.27/207.15 |
% 265.27/207.15 | Equations (764) can reduce 56 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (410) all_0_33_33 = e3
% 265.27/207.15 | (14947) (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 265.27/207.15 |
% 265.27/207.15 | From (410)(410) and (148) follows:
% 265.27/207.15 | (14948) op(e3, e3) = e1
% 265.27/207.15 |
% 265.27/207.15 | Instantiating formula (97) with e3, e3, e1, all_0_21_21 and discharging atoms op(e3, e3) = all_0_21_21, op(e3, e3) = e1, yields:
% 265.27/207.15 | (526) all_0_21_21 = e1
% 265.27/207.15 |
% 265.27/207.15 | Equations (526) can reduce 363 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (543) all_0_27_27 = e1
% 265.27/207.15 | (14952) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 265.27/207.15 |
% 265.27/207.15 | From (543)(543) and (99) follows:
% 265.27/207.15 | (4765) op(e1, e1) = e2
% 265.27/207.15 |
% 265.27/207.15 | Instantiating formula (97) with e1, e1, e2, all_0_33_33 and discharging atoms op(e1, e1) = all_0_33_33, op(e1, e1) = e2, yields:
% 265.27/207.15 | (414) all_0_33_33 = e2
% 265.27/207.15 |
% 265.27/207.15 | Equations (414) can reduce 401 to:
% 265.27/207.15 | (366) $false
% 265.27/207.15 |
% 265.27/207.15 |-The branch is then unsatisfiable
% 265.27/207.15 |-Branch two:
% 265.27/207.15 | (414) all_0_33_33 = e2
% 265.27/207.16 | (14957) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 208 to:
% 265.27/207.16 | (666) ~ (all_0_18_18 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 189 to:
% 265.27/207.16 | (810) ~ (all_0_23_23 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 237 to:
% 265.27/207.16 | (649) ~ (all_0_28_28 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 283 to:
% 265.27/207.16 | (740) ~ (all_0_30_30 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 246 to:
% 265.27/207.16 | (1099) ~ (all_0_31_31 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 201 to:
% 265.27/207.16 | (508) ~ (all_0_32_32 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 328 to:
% 265.27/207.16 | (671) ~ (all_0_34_34 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 671 yields:
% 265.27/207.16 | (672) ~ (all_0_34_34 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 324 to:
% 265.27/207.16 | (1130) ~ (all_0_38_38 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 1130 yields:
% 265.27/207.16 | (1084) ~ (all_0_38_38 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 399 to:
% 265.27/207.16 | (347) ~ (e2 = e0)
% 265.27/207.16 |
% 265.27/207.16 | From (414)(414) and (148) follows:
% 265.27/207.16 | (14969) op(e2, e2) = e1
% 265.27/207.16 |
% 265.27/207.16 | Instantiating formula (97) with e2, e2, e1, all_0_27_27 and discharging atoms op(e2, e2) = all_0_27_27, op(e2, e2) = e1, yields:
% 265.27/207.16 | (543) all_0_27_27 = e1
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 3 to:
% 265.27/207.16 | (1501) ~ (all_0_17_17 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 341 to:
% 265.27/207.16 | (1018) ~ (all_0_22_22 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 289 to:
% 265.27/207.16 | (946) ~ (all_0_25_25 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 100 to:
% 265.27/207.16 | (1008) ~ (all_0_26_26 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 106 to:
% 265.27/207.16 | (4011) ~ (all_0_28_28 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 4011 yields:
% 265.27/207.16 | (421) ~ (all_0_28_28 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 248 to:
% 265.27/207.16 | (3164) ~ (all_0_29_29 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 3164 yields:
% 265.27/207.16 | (952) ~ (all_0_29_29 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 149 to:
% 265.27/207.16 | (4691) ~ (all_0_32_32 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 4691 yields:
% 265.27/207.16 | (424) ~ (all_0_32_32 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 220 to:
% 265.27/207.16 | (2561) ~ (all_0_37_37 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 2561 yields:
% 265.27/207.16 | (2562) ~ (all_0_37_37 = e1)
% 265.27/207.16 |
% 265.27/207.16 | From (543)(543) and (99) follows:
% 265.27/207.16 | (4765) op(e1, e1) = e2
% 265.27/207.16 |
% 265.27/207.16 | From (543) and (313) follows:
% 265.27/207.16 | (14969) op(e2, e2) = e1
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (343), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (401) ~ (all_0_33_33 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 401 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (414) all_0_33_33 = e2
% 265.27/207.16 | (14988) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (262), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (482) ~ (all_0_15_15 = e1)
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (223), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (402) ~ (all_0_27_27 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 402 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (543) all_0_27_27 = e1
% 265.27/207.16 | (14993) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (44), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (401) ~ (all_0_33_33 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 401 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (414) all_0_33_33 = e2
% 265.27/207.16 | (14997) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (349), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (402) ~ (all_0_27_27 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 402 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (543) all_0_27_27 = e1
% 265.27/207.16 | (15001) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (89), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (401) ~ (all_0_33_33 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 401 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (414) all_0_33_33 = e2
% 265.27/207.16 | (15005) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (224), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (402) ~ (all_0_27_27 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 402 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (543) all_0_27_27 = e1
% 265.27/207.16 | (15009) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (342), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (401) ~ (all_0_33_33 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 401 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (414) all_0_33_33 = e2
% 265.27/207.16 | (15013) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (350), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (402) ~ (all_0_27_27 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 402 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (543) all_0_27_27 = e1
% 265.27/207.16 | (15017) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (151), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (402) ~ (all_0_27_27 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 402 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (543) all_0_27_27 = e1
% 265.27/207.16 | (14952) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (152), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (402) ~ (all_0_27_27 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (543) can reduce 402 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (543) all_0_27_27 = e1
% 265.27/207.16 | (15025) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (47), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (447) ~ (all_0_15_15 = e2)
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (45), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (401) ~ (all_0_33_33 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (414) can reduce 401 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (414) all_0_33_33 = e2
% 265.27/207.16 | (15030) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (143), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (448) ~ (all_0_21_21 = e4)
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (35), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (449) all_0_21_21 = e4
% 265.27/207.16 |
% 265.27/207.16 | Equations (449) can reduce 448 to:
% 265.27/207.16 | (366) $false
% 265.27/207.16 |
% 265.27/207.16 |-The branch is then unsatisfiable
% 265.27/207.16 |-Branch two:
% 265.27/207.16 | (448) ~ (all_0_21_21 = e4)
% 265.27/207.16 | (452) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (452), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (453) all_0_21_21 = e3
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 307 to:
% 265.27/207.16 | (458) ~ (all_0_16_16 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 71 to:
% 265.27/207.16 | (564) ~ (all_0_20_20 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 339 to:
% 265.27/207.16 | (5493) ~ (all_0_22_22 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 5493 yields:
% 265.27/207.16 | (774) ~ (all_0_22_22 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 194 to:
% 265.27/207.16 | (3066) ~ (all_0_23_23 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 3066 yields:
% 265.27/207.16 | (982) ~ (all_0_23_23 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 180 to:
% 265.27/207.16 | (3506) ~ (all_0_24_24 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 3506 yields:
% 265.27/207.16 | (963) ~ (all_0_24_24 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 265 to:
% 265.27/207.16 | (5499) ~ (all_0_26_26 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 5499 yields:
% 265.27/207.16 | (504) ~ (all_0_26_26 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 255 to:
% 265.27/207.16 | (5501) ~ (all_0_31_31 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 5501 yields:
% 265.27/207.16 | (510) ~ (all_0_31_31 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 150 to:
% 265.27/207.16 | (4164) ~ (all_0_36_36 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 4164 yields:
% 265.27/207.16 | (516) ~ (all_0_36_36 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 448 to:
% 265.27/207.16 | (695) ~ (e4 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Simplifying 695 yields:
% 265.27/207.16 | (277) ~ (e4 = e3)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 361 to:
% 265.27/207.16 | (56) ~ (e3 = e2)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 363 to:
% 265.27/207.16 | (318) ~ (e3 = e1)
% 265.27/207.16 |
% 265.27/207.16 | Equations (453) can reduce 398 to:
% 265.27/207.16 | (88) ~ (e3 = e0)
% 265.27/207.16 |
% 265.27/207.16 | From (453) and (314) follows:
% 265.27/207.16 | (5509) op(e3, e3) = e3
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (306), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (463) ~ (all_0_15_15 = e0)
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (102), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (433) ~ (all_0_15_15 = e3)
% 265.27/207.16 |
% 265.27/207.16 +-Applying beta-rule and splitting (311), into two cases.
% 265.27/207.16 |-Branch one:
% 265.27/207.16 | (464) all_0_15_15 = e4
% 265.27/207.16 |
% 265.27/207.17 | Equations (464) can reduce 351 to:
% 265.27/207.17 | (15060) ~ (all_0_16_16 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Simplifying 15060 yields:
% 265.27/207.17 | (573) ~ (all_0_16_16 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 66 to:
% 265.27/207.17 | (11516) ~ (all_0_17_17 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Simplifying 11516 yields:
% 265.27/207.17 | (869) ~ (all_0_17_17 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 344 to:
% 265.27/207.17 | (1493) ~ (all_0_18_18 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Simplifying 1493 yields:
% 265.27/207.17 | (1046) ~ (all_0_18_18 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 190 to:
% 265.27/207.17 | (6514) ~ (all_0_19_19 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Simplifying 6514 yields:
% 265.27/207.17 | (714) ~ (all_0_19_19 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 146 to:
% 265.27/207.17 | (15068) ~ (all_0_20_20 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Simplifying 15068 yields:
% 265.27/207.17 | (496) ~ (all_0_20_20 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 52 to:
% 265.27/207.17 | (10614) ~ (all_0_25_25 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Simplifying 10614 yields:
% 265.27/207.17 | (501) ~ (all_0_25_25 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 84 to:
% 265.27/207.17 | (3310) ~ (all_0_30_30 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Simplifying 3310 yields:
% 265.27/207.17 | (509) ~ (all_0_30_30 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 157 to:
% 265.27/207.17 | (1159) ~ (all_0_35_35 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Simplifying 1159 yields:
% 265.27/207.17 | (514) ~ (all_0_35_35 = e4)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 433 to:
% 265.27/207.17 | (277) ~ (e4 = e3)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 447 to:
% 265.27/207.17 | (19) ~ (e4 = e2)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 482 to:
% 265.27/207.17 | (65) ~ (e4 = e1)
% 265.27/207.17 |
% 265.27/207.17 | Equations (464) can reduce 463 to:
% 265.27/207.17 | (287) ~ (e4 = e0)
% 265.27/207.17 |
% 265.27/207.17 | From (464) and (218) follows:
% 265.27/207.17 | (1430) op(e4, e4) = e4
% 265.27/207.17 |
% 265.27/207.17 +-Applying beta-rule and splitting (245), into two cases.
% 265.27/207.17 |-Branch one:
% 265.27/207.17 | (1158) all_0_25_25 = e4
% 265.27/207.17 |
% 265.27/207.17 | Equations (1158) can reduce 501 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (501) ~ (all_0_25_25 = e4)
% 265.35/207.17 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (29), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (476) all_0_15_15 = e1
% 265.35/207.17 |
% 265.35/207.17 | Combining equations (476,464) yields a new equation:
% 265.35/207.17 | (480) e4 = e1
% 265.35/207.17 |
% 265.35/207.17 | Equations (480) can reduce 65 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (482) ~ (all_0_15_15 = e1)
% 265.35/207.17 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 265.35/207.17 |
% 265.35/207.17 | Equations (464) can reduce 482 to:
% 265.35/207.17 | (65) ~ (e4 = e1)
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (214), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (797) all_0_35_35 = e2
% 265.35/207.17 |
% 265.35/207.17 | Equations (797) can reduce 249 to:
% 265.35/207.17 | (1114) ~ (all_0_20_20 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Equations (797) can reduce 98 to:
% 265.35/207.17 | (646) ~ (all_0_25_25 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Equations (797) can reduce 273 to:
% 265.35/207.17 | (755) ~ (all_0_36_36 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 755 yields:
% 265.35/207.17 | (756) ~ (all_0_36_36 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Equations (797) can reduce 121 to:
% 265.35/207.17 | (654) ~ (all_0_37_37 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 654 yields:
% 265.35/207.17 | (515) ~ (all_0_37_37 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Equations (797) can reduce 173 to:
% 265.35/207.17 | (1130) ~ (all_0_38_38 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 1130 yields:
% 265.35/207.17 | (1084) ~ (all_0_38_38 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Equations (797) can reduce 385 to:
% 265.35/207.17 | (347) ~ (e2 = e0)
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (271), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (1232) all_0_37_37 = e4
% 265.35/207.17 |
% 265.35/207.17 | Equations (1232) can reduce 183 to:
% 265.35/207.17 | (586) ~ (all_0_36_36 = e4)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1232) can reduce 354 to:
% 265.35/207.17 | (1142) ~ (all_0_38_38 = e4)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 1142 yields:
% 265.35/207.17 | (1143) ~ (all_0_38_38 = e4)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1232) can reduce 515 to:
% 265.35/207.17 | (19) ~ (e4 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1232) can reduce 387 to:
% 265.35/207.17 | (287) ~ (e4 = e0)
% 265.35/207.17 |
% 265.35/207.17 | From (1232) and (348) follows:
% 265.35/207.17 | (6564) op(all_0_29_29, e4) = e0
% 265.35/207.17 |
% 265.35/207.17 | From (1232) and (310) follows:
% 265.35/207.17 | (1837) op(e4, all_0_29_29) = e2
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (187), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (2611) all_0_36_36 = e4
% 265.35/207.17 |
% 265.35/207.17 | Equations (2611) can reduce 586 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (586) ~ (all_0_36_36 = e4)
% 265.35/207.17 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (2614), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (818) all_0_36_36 = e3
% 265.35/207.17 |
% 265.35/207.17 | Equations (818) can reduce 516 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (516) ~ (all_0_36_36 = e3)
% 265.35/207.17 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (3567), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (801) all_0_36_36 = e2
% 265.35/207.17 |
% 265.35/207.17 | Equations (801) can reduce 756 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (756) ~ (all_0_36_36 = e2)
% 265.35/207.17 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (3571), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (1015) all_0_36_36 = e1
% 265.35/207.17 |
% 265.35/207.17 | Equations (1015) can reduce 64 to:
% 265.35/207.17 | (985) ~ (all_0_16_16 = e1)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1015) can reduce 93 to:
% 265.35/207.17 | (427) ~ (all_0_38_38 = e1)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 427 yields:
% 265.35/207.17 | (428) ~ (all_0_38_38 = e1)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1015) can reduce 586 to:
% 265.35/207.17 | (477) ~ (e4 = e1)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 477 yields:
% 265.35/207.17 | (65) ~ (e4 = e1)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1015) can reduce 756 to:
% 265.35/207.17 | (1002) ~ (e2 = e1)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 1002 yields:
% 265.35/207.17 | (329) ~ (e2 = e1)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1015) can reduce 386 to:
% 265.35/207.17 | (37) ~ (e1 = e0)
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (358), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (1165) all_0_38_38 = e4
% 265.35/207.17 |
% 265.35/207.17 | Equations (1165) can reduce 1143 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (1143) ~ (all_0_38_38 = e4)
% 265.35/207.17 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (1168), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (1077) all_0_38_38 = e3
% 265.35/207.17 |
% 265.35/207.17 | Equations (1077) can reduce 198 to:
% 265.35/207.17 | (1035) ~ (all_0_28_28 = e3)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1077) can reduce 1143 to:
% 265.35/207.17 | (695) ~ (e4 = e3)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 695 yields:
% 265.35/207.17 | (277) ~ (e4 = e3)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1077) can reduce 428 to:
% 265.35/207.17 | (318) ~ (e3 = e1)
% 265.35/207.17 |
% 265.35/207.17 | Equations (1077) can reduce 388 to:
% 265.35/207.17 | (88) ~ (e3 = e0)
% 265.35/207.17 |
% 265.35/207.17 | Instantiating formula (97) with e3, e4, e0, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 265.35/207.17 | (3337) all_0_20_20 = e0 | ~ (op(e3, e4) = e0)
% 265.35/207.17 |
% 265.35/207.17 | Instantiating formula (97) with e2, e4, e0, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 265.35/207.17 | (1747) all_0_25_25 = e0 | ~ (op(e2, e4) = e0)
% 265.35/207.17 |
% 265.35/207.17 | Instantiating formula (97) with e4, e4, e2, e4 and discharging atoms op(e4, e4) = e4, yields:
% 265.35/207.17 | (15142) e4 = e2 | ~ (op(e4, e4) = e2)
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (168), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (2438) all_0_25_25 = e3
% 265.35/207.17 |
% 265.35/207.17 | Equations (2438) can reduce 62 to:
% 265.35/207.17 | (897) ~ (all_0_29_29 = e3)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 897 yields:
% 265.35/207.17 | (898) ~ (all_0_29_29 = e3)
% 265.35/207.17 |
% 265.35/207.17 | Equations (2438) can reduce 501 to:
% 265.35/207.17 | (695) ~ (e4 = e3)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 695 yields:
% 265.35/207.17 | (277) ~ (e4 = e3)
% 265.35/207.17 |
% 265.35/207.17 | Equations (2438) can reduce 646 to:
% 265.35/207.17 | (56) ~ (e3 = e2)
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (72), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (468) all_0_15_15 = e3
% 265.35/207.17 |
% 265.35/207.17 | Combining equations (468,464) yields a new equation:
% 265.35/207.17 | (691) e4 = e3
% 265.35/207.17 |
% 265.35/207.17 | Equations (691) can reduce 277 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (433) ~ (all_0_15_15 = e3)
% 265.35/207.17 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 265.35/207.17 |
% 265.35/207.17 | Equations (464) can reduce 433 to:
% 265.35/207.17 | (277) ~ (e4 = e3)
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (241), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (1921) all_0_25_25 = e0
% 265.35/207.17 |
% 265.35/207.17 | Combining equations (1921,2438) yields a new equation:
% 265.35/207.17 | (980) e3 = e0
% 265.35/207.17 |
% 265.35/207.17 | Equations (980) can reduce 88 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (1925) ~ (all_0_25_25 = e0)
% 265.35/207.17 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.35/207.17 |
% 265.35/207.17 | Equations (2438) can reduce 1925 to:
% 265.35/207.17 | (88) ~ (e3 = e0)
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (340), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (697) all_0_16_16 = e2
% 265.35/207.17 |
% 265.35/207.17 | Equations (697) can reduce 139 to:
% 265.35/207.17 | (5333) ~ (all_0_26_26 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 5333 yields:
% 265.35/207.17 | (647) ~ (all_0_26_26 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Equations (697) can reduce 458 to:
% 265.35/207.17 | (658) ~ (e3 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Simplifying 658 yields:
% 265.35/207.17 | (56) ~ (e3 = e2)
% 265.35/207.17 |
% 265.35/207.17 | Equations (697) can reduce 985 to:
% 265.35/207.17 | (329) ~ (e2 = e1)
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (23), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (3159) all_0_25_25 = e2
% 265.35/207.17 |
% 265.35/207.17 | Combining equations (3159,2438) yields a new equation:
% 265.35/207.17 | (764) e3 = e2
% 265.35/207.17 |
% 265.35/207.17 | Equations (764) can reduce 56 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (646) ~ (all_0_25_25 = e2)
% 265.35/207.17 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 265.35/207.17 |
% 265.35/207.17 +-Applying beta-rule and splitting (13669), into two cases.
% 265.35/207.17 |-Branch one:
% 265.35/207.17 | (2380) all_0_26_26 = e2
% 265.35/207.17 |
% 265.35/207.17 | Equations (2380) can reduce 647 to:
% 265.35/207.17 | (366) $false
% 265.35/207.17 |
% 265.35/207.17 |-The branch is then unsatisfiable
% 265.35/207.17 |-Branch two:
% 265.35/207.17 | (647) ~ (all_0_26_26 = e2)
% 265.35/207.18 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (13681), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (443) all_0_27_27 = e2
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (543,443) yields a new equation:
% 265.35/207.18 | (718) e2 = e1
% 265.35/207.18 |
% 265.35/207.18 | Equations (718) can reduce 329 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (500) ~ (all_0_27_27 = e2)
% 265.35/207.18 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (13687), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (1037) all_0_28_28 = e2
% 265.35/207.18 |
% 265.35/207.18 | Equations (1037) can reduce 649 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (649) ~ (all_0_28_28 = e2)
% 265.35/207.18 | (4103) all_0_29_29 = e2
% 265.35/207.18 |
% 265.35/207.18 | From (4103) and (6564) follows:
% 265.35/207.18 | (2263) op(e2, e4) = e0
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (1747), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (2264) ~ (op(e2, e4) = e0)
% 265.35/207.18 |
% 265.35/207.18 | Using (2263) and (2264) yields:
% 265.35/207.18 | (821) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (2263) op(e2, e4) = e0
% 265.35/207.18 | (1921) all_0_25_25 = e0
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (1921,2438) yields a new equation:
% 265.35/207.18 | (980) e3 = e0
% 265.35/207.18 |
% 265.35/207.18 | Equations (980) can reduce 88 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (664) ~ (all_0_16_16 = e2)
% 265.35/207.18 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (270), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (701) all_0_16_16 = e4
% 265.35/207.18 |
% 265.35/207.18 | Equations (701) can reduce 573 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (573) ~ (all_0_16_16 = e4)
% 265.35/207.18 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (700), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (522) all_0_21_21 = e2
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (522,453) yields a new equation:
% 265.35/207.18 | (764) e3 = e2
% 265.35/207.18 |
% 265.35/207.18 | Equations (764) can reduce 56 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (361) ~ (all_0_21_21 = e2)
% 265.35/207.18 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (2289), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (2380) all_0_26_26 = e2
% 265.35/207.18 |
% 265.35/207.18 | Equations (2380) can reduce 38 to:
% 265.35/207.18 | (650) ~ (all_0_29_29 = e2)
% 265.35/207.18 |
% 265.35/207.18 | Simplifying 650 yields:
% 265.35/207.18 | (651) ~ (all_0_29_29 = e2)
% 265.35/207.18 |
% 265.35/207.18 | Equations (2380) can reduce 145 to:
% 265.35/207.18 | (1608) ~ (all_0_31_31 = e2)
% 265.35/207.18 |
% 265.35/207.18 | Simplifying 1608 yields:
% 265.35/207.18 | (1099) ~ (all_0_31_31 = e2)
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (1926), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (883) all_0_26_26 = e0
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (883,2380) yields a new equation:
% 265.35/207.18 | (551) e2 = e0
% 265.35/207.18 |
% 265.35/207.18 | Equations (551) can reduce 347 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (1058) ~ (all_0_26_26 = e0)
% 265.35/207.18 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (357), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (1250) all_0_29_29 = e4
% 265.35/207.18 |
% 265.35/207.18 | Equations (1250) can reduce 898 to:
% 265.35/207.18 | (277) ~ (e4 = e3)
% 265.35/207.18 |
% 265.35/207.18 | Equations (1250) can reduce 651 to:
% 265.35/207.18 | (19) ~ (e4 = e2)
% 265.35/207.18 |
% 265.35/207.18 | Equations (1250) can reduce 952 to:
% 265.35/207.18 | (65) ~ (e4 = e1)
% 265.35/207.18 |
% 265.35/207.18 | From (1250) and (1837) follows:
% 265.35/207.18 | (1335) op(e4, e4) = e2
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (163), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (701) all_0_16_16 = e4
% 265.35/207.18 |
% 265.35/207.18 | Equations (701) can reduce 573 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (573) ~ (all_0_16_16 = e4)
% 265.35/207.18 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (6243), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (449) all_0_21_21 = e4
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (449,453) yields a new equation:
% 265.35/207.18 | (690) e4 = e3
% 265.35/207.18 |
% 265.35/207.18 | Simplifying 690 yields:
% 265.35/207.18 | (691) e4 = e3
% 265.35/207.18 |
% 265.35/207.18 | Equations (691) can reduce 277 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (448) ~ (all_0_21_21 = e4)
% 265.35/207.18 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (6248), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (1237) all_0_26_26 = e4
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (1237,2380) yields a new equation:
% 265.35/207.18 | (1111) e4 = e2
% 265.35/207.18 |
% 265.35/207.18 | Simplifying 1111 yields:
% 265.35/207.18 | (539) e4 = e2
% 265.35/207.18 |
% 265.35/207.18 | Equations (539) can reduce 19 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (582) ~ (all_0_26_26 = e4)
% 265.35/207.18 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (6263), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (1446) all_0_31_31 = e4
% 265.35/207.18 |
% 265.35/207.18 | Equations (1446) can reduce 1099 to:
% 265.35/207.18 | (19) ~ (e4 = e2)
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (15142), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (1336) ~ (op(e4, e4) = e2)
% 265.35/207.18 |
% 265.35/207.18 | Using (1335) and (1336) yields:
% 265.35/207.18 | (821) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (1335) op(e4, e4) = e2
% 265.35/207.18 | (539) e4 = e2
% 265.35/207.18 |
% 265.35/207.18 | Equations (539) can reduce 19 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (584) ~ (all_0_31_31 = e4)
% 265.35/207.18 | (2611) all_0_36_36 = e4
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (1015,2611) yields a new equation:
% 265.35/207.18 | (480) e4 = e1
% 265.35/207.18 |
% 265.35/207.18 | Equations (480) can reduce 65 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (724) ~ (all_0_29_29 = e4)
% 265.35/207.18 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (2527), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (546) all_0_27_27 = e0
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (543,546) yields a new equation:
% 265.35/207.18 | (960) e1 = e0
% 265.35/207.18 |
% 265.35/207.18 | Simplifying 960 yields:
% 265.35/207.18 | (961) e1 = e0
% 265.35/207.18 |
% 265.35/207.18 | Equations (961) can reduce 37 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (434) ~ (all_0_27_27 = e0)
% 265.35/207.18 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (285), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (1158) all_0_25_25 = e4
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (1158,2438) yields a new equation:
% 265.35/207.18 | (690) e4 = e3
% 265.35/207.18 |
% 265.35/207.18 | Simplifying 690 yields:
% 265.35/207.18 | (691) e4 = e3
% 265.35/207.18 |
% 265.35/207.18 | Equations (691) can reduce 277 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (501) ~ (all_0_25_25 = e4)
% 265.35/207.18 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (1217), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (1237) all_0_26_26 = e4
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (1237,2380) yields a new equation:
% 265.35/207.18 | (1111) e4 = e2
% 265.35/207.18 |
% 265.35/207.18 | Simplifying 1111 yields:
% 265.35/207.18 | (539) e4 = e2
% 265.35/207.18 |
% 265.35/207.18 | Equations (539) can reduce 19 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (582) ~ (all_0_26_26 = e4)
% 265.35/207.18 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (2533), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (1044) all_0_28_28 = e0
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (1240), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (435) all_0_27_27 = e4
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (543,435) yields a new equation:
% 265.35/207.18 | (480) e4 = e1
% 265.35/207.18 |
% 265.35/207.18 | Equations (480) can reduce 65 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (404) ~ (all_0_27_27 = e4)
% 265.35/207.18 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (1245), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (892) all_0_28_28 = e4
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (1044,892) yields a new equation:
% 265.35/207.18 | (490) e4 = e0
% 265.35/207.18 |
% 265.35/207.18 | Equations (490) can reduce 287 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (890) ~ (all_0_28_28 = e4)
% 265.35/207.18 | (1250) all_0_29_29 = e4
% 265.35/207.18 |
% 265.35/207.18 | Equations (1250) can reduce 724 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (886) ~ (all_0_28_28 = e0)
% 265.35/207.18 | (2537) all_0_29_29 = e0
% 265.35/207.18 |
% 265.35/207.18 | Equations (2537) can reduce 383 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (647) ~ (all_0_26_26 = e2)
% 265.35/207.18 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (2383), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (751) all_0_31_31 = e2
% 265.35/207.18 |
% 265.35/207.18 | Equations (751) can reduce 1099 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (1099) ~ (all_0_31_31 = e2)
% 265.35/207.18 | (801) all_0_36_36 = e2
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (1015,801) yields a new equation:
% 265.35/207.18 | (718) e2 = e1
% 265.35/207.18 |
% 265.35/207.18 | Equations (718) can reduce 329 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (566) ~ (all_0_25_25 = e3)
% 265.35/207.18 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.35/207.18 |
% 265.35/207.18 +-Applying beta-rule and splitting (111), into two cases.
% 265.35/207.18 |-Branch one:
% 265.35/207.18 | (468) all_0_15_15 = e3
% 265.35/207.18 |
% 265.35/207.18 | Combining equations (468,464) yields a new equation:
% 265.35/207.18 | (691) e4 = e3
% 265.35/207.18 |
% 265.35/207.18 | Equations (691) can reduce 277 to:
% 265.35/207.18 | (366) $false
% 265.35/207.18 |
% 265.35/207.18 |-The branch is then unsatisfiable
% 265.35/207.18 |-Branch two:
% 265.35/207.18 | (433) ~ (all_0_15_15 = e3)
% 265.35/207.19 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (7536), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (903) all_0_20_20 = e3
% 265.35/207.19 |
% 265.35/207.19 | Equations (903) can reduce 564 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (564) ~ (all_0_20_20 = e3)
% 265.35/207.19 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (8890), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (2438) all_0_25_25 = e3
% 265.35/207.19 |
% 265.35/207.19 | Equations (2438) can reduce 566 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (566) ~ (all_0_25_25 = e3)
% 265.35/207.19 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (3136), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (2438) all_0_25_25 = e3
% 265.35/207.19 |
% 265.35/207.19 | Equations (2438) can reduce 566 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (566) ~ (all_0_25_25 = e3)
% 265.35/207.19 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (2442), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (2443) all_0_26_26 = e3
% 265.35/207.19 |
% 265.35/207.19 | Equations (2443) can reduce 504 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (504) ~ (all_0_26_26 = e3)
% 265.35/207.19 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (2448), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (439) all_0_27_27 = e3
% 265.35/207.19 |
% 265.35/207.19 | Combining equations (439,543) yields a new equation:
% 265.35/207.19 | (933) e3 = e1
% 265.35/207.19 |
% 265.35/207.19 | Simplifying 933 yields:
% 265.35/207.19 | (706) e3 = e1
% 265.35/207.19 |
% 265.35/207.19 | Equations (706) can reduce 318 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (400) ~ (all_0_27_27 = e3)
% 265.35/207.19 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (3158), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (3159) all_0_25_25 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (3159) can reduce 646 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (646) ~ (all_0_25_25 = e2)
% 265.35/207.19 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (2453), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (896) all_0_28_28 = e3
% 265.35/207.19 |
% 265.35/207.19 | Equations (896) can reduce 1035 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (1035) ~ (all_0_28_28 = e3)
% 265.35/207.19 | (1023) all_0_29_29 = e3
% 265.35/207.19 |
% 265.35/207.19 | From (1023) and (6564) follows:
% 265.35/207.19 | (3902) op(e3, e4) = e0
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (3162), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (950) all_0_25_25 = e1
% 265.35/207.19 |
% 265.35/207.19 | Equations (950) can reduce 946 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (946) ~ (all_0_25_25 = e1)
% 265.35/207.19 | (1921) all_0_25_25 = e0
% 265.35/207.19 |
% 265.35/207.19 | Equations (1921) can reduce 95 to:
% 265.35/207.19 | (839) ~ (all_0_20_20 = e0)
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (3337), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (3931) ~ (op(e3, e4) = e0)
% 265.35/207.19 |
% 265.35/207.19 | Using (3902) and (3931) yields:
% 265.35/207.19 | (821) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (3902) op(e3, e4) = e0
% 265.35/207.19 | (835) all_0_20_20 = e0
% 265.35/207.19 |
% 265.35/207.19 | Equations (835) can reduce 839 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (1080) ~ (all_0_38_38 = e3)
% 265.35/207.19 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (1206), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (809) all_0_38_38 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (809) can reduce 1084 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (1084) ~ (all_0_38_38 = e2)
% 265.35/207.19 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (1210), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (1211) all_0_38_38 = e1
% 265.35/207.19 |
% 265.35/207.19 | Equations (1211) can reduce 428 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (428) ~ (all_0_38_38 = e1)
% 265.35/207.19 | (1214) all_0_38_38 = e0
% 265.35/207.19 |
% 265.35/207.19 | Equations (1214) can reduce 388 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (1593) ~ (all_0_36_36 = e1)
% 265.35/207.19 | (1065) all_0_36_36 = e0
% 265.35/207.19 |
% 265.35/207.19 | Equations (1065) can reduce 386 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (2658) ~ (all_0_37_37 = e4)
% 265.35/207.19 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (3872), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (1073) all_0_37_37 = e3
% 265.35/207.19 |
% 265.35/207.19 | Equations (1073) can reduce 132 to:
% 265.35/207.19 | (558) ~ (all_0_17_17 = e3)
% 265.35/207.19 |
% 265.35/207.19 | Equations (1073) can reduce 202 to:
% 265.35/207.19 | (774) ~ (all_0_22_22 = e3)
% 265.35/207.19 |
% 265.35/207.19 | Equations (1073) can reduce 336 to:
% 265.35/207.19 | (1089) ~ (all_0_32_32 = e3)
% 265.35/207.19 |
% 265.35/207.19 | Equations (1073) can reduce 183 to:
% 265.35/207.19 | (516) ~ (all_0_36_36 = e3)
% 265.35/207.19 |
% 265.35/207.19 | Equations (1073) can reduce 354 to:
% 265.35/207.19 | (2070) ~ (all_0_38_38 = e3)
% 265.35/207.19 |
% 265.35/207.19 | Simplifying 2070 yields:
% 265.35/207.19 | (1080) ~ (all_0_38_38 = e3)
% 265.35/207.19 |
% 265.35/207.19 | Equations (1073) can reduce 515 to:
% 265.35/207.19 | (56) ~ (e3 = e2)
% 265.35/207.19 |
% 265.35/207.19 | From (1073) and (348) follows:
% 265.35/207.19 | (9987) op(all_0_29_29, e3) = e0
% 265.35/207.19 |
% 265.35/207.19 | From (1073) and (310) follows:
% 265.35/207.19 | (15361) op(e3, all_0_29_29) = e2
% 265.35/207.19 |
% 265.35/207.19 | Instantiating formula (97) with e3, e3, e0, e3 and discharging atoms op(e3, e3) = e3, yields:
% 265.35/207.19 | (10001) e3 = e0 | ~ (op(e3, e3) = e0)
% 265.35/207.19 |
% 265.35/207.19 | Instantiating formula (97) with e2, e3, e0, all_0_26_26 and discharging atoms op(e2, e3) = all_0_26_26, yields:
% 265.35/207.19 | (5075) all_0_26_26 = e0 | ~ (op(e2, e3) = e0)
% 265.35/207.19 |
% 265.35/207.19 | Instantiating formula (97) with e3, e4, e2, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 265.35/207.19 | (2860) all_0_20_20 = e2 | ~ (op(e3, e4) = e2)
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (203), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (1980) all_0_17_17 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (1980) can reduce 169 to:
% 265.35/207.19 | (664) ~ (all_0_16_16 = e2)
% 265.35/207.19 |
% 265.35/207.19 | Equations (1980) can reduce 184 to:
% 265.35/207.19 | (737) ~ (all_0_22_22 = e2)
% 265.35/207.19 |
% 265.35/207.19 | Simplifying 737 yields:
% 265.35/207.19 | (493) ~ (all_0_22_22 = e2)
% 265.35/207.19 |
% 265.35/207.19 | Equations (1980) can reduce 558 to:
% 265.35/207.19 | (658) ~ (e3 = e2)
% 265.35/207.19 |
% 265.35/207.19 | Simplifying 658 yields:
% 265.35/207.19 | (56) ~ (e3 = e2)
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (340), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (697) all_0_16_16 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (697) can reduce 664 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (664) ~ (all_0_16_16 = e2)
% 265.35/207.19 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (700), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (522) all_0_21_21 = e2
% 265.35/207.19 |
% 265.35/207.19 | Combining equations (522,453) yields a new equation:
% 265.35/207.19 | (764) e3 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (764) can reduce 56 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (361) ~ (all_0_21_21 = e2)
% 265.35/207.19 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (2289), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (2380) all_0_26_26 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (2380) can reduce 504 to:
% 265.35/207.19 | (658) ~ (e3 = e2)
% 265.35/207.19 |
% 265.35/207.19 | Simplifying 658 yields:
% 265.35/207.19 | (56) ~ (e3 = e2)
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (51), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (736) all_0_20_20 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (736) can reduce 1114 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (1114) ~ (all_0_20_20 = e2)
% 265.35/207.19 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (1115), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (522) all_0_21_21 = e2
% 265.35/207.19 |
% 265.35/207.19 | Combining equations (522,453) yields a new equation:
% 265.35/207.19 | (764) e3 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (764) can reduce 56 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (361) ~ (all_0_21_21 = e2)
% 265.35/207.19 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (1121), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (917) all_0_22_22 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (917) can reduce 493 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (493) ~ (all_0_22_22 = e2)
% 265.35/207.19 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (1125), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (1126) all_0_23_23 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (1126) can reduce 810 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (810) ~ (all_0_23_23 = e2)
% 265.35/207.19 | (1393) all_0_24_24 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (1393) can reduce 167 to:
% 265.35/207.19 | (1114) ~ (all_0_20_20 = e2)
% 265.35/207.19 |
% 265.35/207.19 | Equations (1393) can reduce 85 to:
% 265.35/207.19 | (650) ~ (all_0_29_29 = e2)
% 265.35/207.19 |
% 265.35/207.19 | Simplifying 650 yields:
% 265.35/207.19 | (651) ~ (all_0_29_29 = e2)
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (357), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (1250) all_0_29_29 = e4
% 265.35/207.19 |
% 265.35/207.19 | From (1250) and (15361) follows:
% 265.35/207.19 | (2984) op(e3, e4) = e2
% 265.35/207.19 |
% 265.35/207.19 +-Applying beta-rule and splitting (2860), into two cases.
% 265.35/207.19 |-Branch one:
% 265.35/207.19 | (2993) ~ (op(e3, e4) = e2)
% 265.35/207.19 |
% 265.35/207.19 | Using (2984) and (2993) yields:
% 265.35/207.19 | (821) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (2984) op(e3, e4) = e2
% 265.35/207.19 | (736) all_0_20_20 = e2
% 265.35/207.19 |
% 265.35/207.19 | Equations (736) can reduce 1114 to:
% 265.35/207.19 | (366) $false
% 265.35/207.19 |
% 265.35/207.19 |-The branch is then unsatisfiable
% 265.35/207.19 |-Branch two:
% 265.35/207.19 | (724) ~ (all_0_29_29 = e4)
% 265.35/207.19 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 265.35/207.19 |
% 265.35/207.20 +-Applying beta-rule and splitting (2812), into two cases.
% 265.35/207.20 |-Branch one:
% 265.35/207.20 | (1023) all_0_29_29 = e3
% 265.35/207.20 |
% 265.35/207.20 | Equations (1023) can reduce 383 to:
% 265.35/207.20 | (88) ~ (e3 = e0)
% 265.35/207.20 |
% 265.35/207.20 | From (1023) and (9987) follows:
% 265.35/207.20 | (10049) op(e3, e3) = e0
% 265.35/207.20 |
% 265.35/207.20 +-Applying beta-rule and splitting (10001), into two cases.
% 265.35/207.20 |-Branch one:
% 265.35/207.20 | (10062) ~ (op(e3, e3) = e0)
% 265.35/207.20 |
% 265.35/207.20 | Using (10049) and (10062) yields:
% 265.35/207.20 | (821) $false
% 265.35/207.20 |
% 265.35/207.20 |-The branch is then unsatisfiable
% 265.35/207.20 |-Branch two:
% 265.35/207.20 | (10049) op(e3, e3) = e0
% 265.35/207.20 | (980) e3 = e0
% 265.35/207.20 |
% 265.35/207.20 | Equations (980) can reduce 88 to:
% 265.35/207.20 | (366) $false
% 265.35/207.20 |
% 265.35/207.20 |-The branch is then unsatisfiable
% 265.35/207.20 |-Branch two:
% 265.35/207.20 | (898) ~ (all_0_29_29 = e3)
% 265.35/207.20 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 265.35/207.20 |
% 265.35/207.20 +-Applying beta-rule and splitting (5409), into two cases.
% 265.35/207.20 |-Branch one:
% 265.35/207.20 | (4103) all_0_29_29 = e2
% 265.35/207.20 |
% 265.35/207.20 | Equations (4103) can reduce 651 to:
% 265.35/207.20 | (366) $false
% 265.35/207.20 |
% 265.35/207.20 |-The branch is then unsatisfiable
% 265.35/207.20 |-Branch two:
% 265.35/207.20 | (651) ~ (all_0_29_29 = e2)
% 265.35/207.20 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 265.35/207.20 |
% 265.35/207.20 +-Applying beta-rule and splitting (5413), into two cases.
% 265.35/207.20 |-Branch one:
% 265.35/207.20 | (945) all_0_29_29 = e1
% 265.35/207.20 |
% 265.35/207.20 | Equations (945) can reduce 952 to:
% 265.35/207.20 | (366) $false
% 265.35/207.20 |
% 265.35/207.20 |-The branch is then unsatisfiable
% 265.35/207.20 |-Branch two:
% 265.35/207.20 | (952) ~ (all_0_29_29 = e1)
% 265.35/207.20 | (2537) all_0_29_29 = e0
% 265.35/207.20 |
% 265.35/207.20 | Equations (2537) can reduce 383 to:
% 265.35/207.20 | (366) $false
% 265.35/207.20 |
% 265.35/207.20 |-The branch is then unsatisfiable
% 265.35/207.20 |-Branch two:
% 265.35/207.20 | (647) ~ (all_0_26_26 = e2)
% 265.35/207.20 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 265.35/207.20 |
% 265.35/207.20 +-Applying beta-rule and splitting (2383), into two cases.
% 265.35/207.20 |-Branch one:
% 265.35/207.20 | (751) all_0_31_31 = e2
% 265.35/207.20 |
% 265.35/207.20 | Equations (751) can reduce 1099 to:
% 265.35/207.20 | (366) $false
% 265.35/207.20 |
% 265.35/207.20 |-The branch is then unsatisfiable
% 265.35/207.20 |-Branch two:
% 265.35/207.20 | (1099) ~ (all_0_31_31 = e2)
% 265.35/207.20 | (801) all_0_36_36 = e2
% 265.35/207.20 |
% 265.35/207.20 | Equations (801) can reduce 756 to:
% 265.35/207.20 | (366) $false
% 265.35/207.20 |
% 265.35/207.20 |-The branch is then unsatisfiable
% 265.35/207.20 |-Branch two:
% 265.35/207.20 | (459) ~ (all_0_17_17 = e2)
% 265.35/207.20 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 265.35/207.20 |
% 265.35/207.20 +-Applying beta-rule and splitting (240), into two cases.
% 265.35/207.20 |-Branch one:
% 265.35/207.20 | (865) all_0_17_17 = e4
% 265.35/207.20 |
% 265.35/207.20 | Equations (865) can reduce 869 to:
% 265.35/207.20 | (366) $false
% 265.35/207.20 |
% 265.35/207.20 |-The branch is then unsatisfiable
% 265.35/207.20 |-Branch two:
% 265.35/207.20 | (869) ~ (all_0_17_17 = e4)
% 265.35/207.20 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 265.35/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (1961), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (1970) all_0_17_17 = e3
% 265.38/207.20 |
% 265.38/207.20 | Equations (1970) can reduce 558 to:
% 265.38/207.20 | (366) $false
% 265.38/207.20 |
% 265.38/207.20 |-The branch is then unsatisfiable
% 265.38/207.20 |-Branch two:
% 265.38/207.20 | (558) ~ (all_0_17_17 = e3)
% 265.38/207.20 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (15439), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (917) all_0_22_22 = e2
% 265.38/207.20 |
% 265.38/207.20 | Equations (917) can reduce 184 to:
% 265.38/207.20 | (459) ~ (all_0_17_17 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Equations (917) can reduce 346 to:
% 265.38/207.20 | (7279) ~ (all_0_23_23 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 7279 yields:
% 265.38/207.20 | (810) ~ (all_0_23_23 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Equations (917) can reduce 268 to:
% 265.38/207.20 | (667) ~ (all_0_24_24 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 667 yields:
% 265.38/207.20 | (668) ~ (all_0_24_24 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Equations (917) can reduce 63 to:
% 265.38/207.20 | (652) ~ (all_0_32_32 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 652 yields:
% 265.38/207.20 | (508) ~ (all_0_32_32 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Equations (917) can reduce 774 to:
% 265.38/207.20 | (658) ~ (e3 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 658 yields:
% 265.38/207.20 | (56) ~ (e3 = e2)
% 265.38/207.20 |
% 265.38/207.20 | From (917) and (147) follows:
% 265.38/207.20 | (15458) op(all_0_26_26, e2) = e3
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (1979), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (1980) all_0_17_17 = e2
% 265.38/207.20 |
% 265.38/207.20 | Equations (1980) can reduce 459 to:
% 265.38/207.20 | (366) $false
% 265.38/207.20 |
% 265.38/207.20 |-The branch is then unsatisfiable
% 265.38/207.20 |-Branch two:
% 265.38/207.20 | (459) ~ (all_0_17_17 = e2)
% 265.38/207.20 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (1983), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (1498) all_0_17_17 = e1
% 265.38/207.20 |
% 265.38/207.20 | Equations (1498) can reduce 1501 to:
% 265.38/207.20 | (366) $false
% 265.38/207.20 |
% 265.38/207.20 |-The branch is then unsatisfiable
% 265.38/207.20 |-Branch two:
% 265.38/207.20 | (1501) ~ (all_0_17_17 = e1)
% 265.38/207.20 | (823) all_0_17_17 = e0
% 265.38/207.20 |
% 265.38/207.20 | Equations (823) can reduce 169 to:
% 265.38/207.20 | (824) ~ (all_0_16_16 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Equations (823) can reduce 74 to:
% 265.38/207.20 | (3378) ~ (all_0_18_18 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 3378 yields:
% 265.38/207.20 | (1156) ~ (all_0_18_18 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Equations (823) can reduce 333 to:
% 265.38/207.20 | (5576) ~ (all_0_19_19 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 5576 yields:
% 265.38/207.20 | (381) ~ (all_0_19_19 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Equations (823) can reduce 286 to:
% 265.38/207.20 | (2961) ~ (all_0_32_32 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 2961 yields:
% 265.38/207.20 | (1946) ~ (all_0_32_32 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Equations (823) can reduce 558 to:
% 265.38/207.20 | (391) ~ (e3 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 391 yields:
% 265.38/207.20 | (88) ~ (e3 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Equations (823) can reduce 459 to:
% 265.38/207.20 | (393) ~ (e2 = e0)
% 265.38/207.20 |
% 265.38/207.20 | Simplifying 393 yields:
% 265.38/207.20 | (347) ~ (e2 = e0)
% 265.38/207.20 |
% 265.38/207.20 | From (823) and (219) follows:
% 265.38/207.20 | (813) op(e4, e2) = e0
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (261), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (1229) all_0_32_32 = e4
% 265.38/207.20 |
% 265.38/207.20 | Equations (1229) can reduce 186 to:
% 265.38/207.20 | (509) ~ (all_0_30_30 = e4)
% 265.38/207.20 |
% 265.38/207.20 | Equations (1229) can reduce 247 to:
% 265.38/207.20 | (584) ~ (all_0_31_31 = e4)
% 265.38/207.20 |
% 265.38/207.20 | Equations (1229) can reduce 1089 to:
% 265.38/207.20 | (277) ~ (e4 = e3)
% 265.38/207.20 |
% 265.38/207.20 | Equations (1229) can reduce 508 to:
% 265.38/207.20 | (19) ~ (e4 = e2)
% 265.38/207.20 |
% 265.38/207.20 | Equations (1229) can reduce 1946 to:
% 265.38/207.20 | (287) ~ (e4 = e0)
% 265.38/207.20 |
% 265.38/207.20 | From (1229) and (315) follows:
% 265.38/207.20 | (3302) op(all_0_28_28, e4) = e1
% 265.38/207.20 |
% 265.38/207.20 | From (1229) and (200) follows:
% 265.38/207.20 | (3303) op(e4, all_0_28_28) = e2
% 265.38/207.20 |
% 265.38/207.20 | Instantiating formula (97) with e2, e2, e3, e1 and discharging atoms op(e2, e2) = e1, yields:
% 265.38/207.20 | (15487) e3 = e1 | ~ (op(e2, e2) = e3)
% 265.38/207.20 |
% 265.38/207.20 | Instantiating formula (97) with e3, e4, e1, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 265.38/207.20 | (732) all_0_20_20 = e1 | ~ (op(e3, e4) = e1)
% 265.38/207.20 |
% 265.38/207.20 | Instantiating formula (97) with e4, e3, e2, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 265.38/207.20 | (15489) all_0_16_16 = e2 | ~ (op(e4, e3) = e2)
% 265.38/207.20 |
% 265.38/207.20 | Instantiating formula (97) with e4, e2, e0, e3 and discharging atoms op(e4, e2) = e0, yields:
% 265.38/207.20 | (15490) e3 = e0 | ~ (op(e4, e2) = e3)
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (358), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (1165) all_0_38_38 = e4
% 265.38/207.20 |
% 265.38/207.20 | Equations (1165) can reduce 93 to:
% 265.38/207.20 | (586) ~ (all_0_36_36 = e4)
% 265.38/207.20 |
% 265.38/207.20 | Equations (1165) can reduce 1080 to:
% 265.38/207.20 | (277) ~ (e4 = e3)
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (187), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (2611) all_0_36_36 = e4
% 265.38/207.20 |
% 265.38/207.20 | Equations (2611) can reduce 586 to:
% 265.38/207.20 | (366) $false
% 265.38/207.20 |
% 265.38/207.20 |-The branch is then unsatisfiable
% 265.38/207.20 |-Branch two:
% 265.38/207.20 | (586) ~ (all_0_36_36 = e4)
% 265.38/207.20 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (2614), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (818) all_0_36_36 = e3
% 265.38/207.20 |
% 265.38/207.20 | Equations (818) can reduce 516 to:
% 265.38/207.20 | (366) $false
% 265.38/207.20 |
% 265.38/207.20 |-The branch is then unsatisfiable
% 265.38/207.20 |-Branch two:
% 265.38/207.20 | (516) ~ (all_0_36_36 = e3)
% 265.38/207.20 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (3567), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (801) all_0_36_36 = e2
% 265.38/207.20 |
% 265.38/207.20 | Equations (801) can reduce 756 to:
% 265.38/207.20 | (366) $false
% 265.38/207.20 |
% 265.38/207.20 |-The branch is then unsatisfiable
% 265.38/207.20 |-Branch two:
% 265.38/207.20 | (756) ~ (all_0_36_36 = e2)
% 265.38/207.20 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 265.38/207.20 |
% 265.38/207.20 +-Applying beta-rule and splitting (163), into two cases.
% 265.38/207.20 |-Branch one:
% 265.38/207.20 | (701) all_0_16_16 = e4
% 265.38/207.20 |
% 265.38/207.20 | Equations (701) can reduce 573 to:
% 265.38/207.20 | (366) $false
% 265.38/207.20 |
% 265.38/207.20 |-The branch is then unsatisfiable
% 265.38/207.20 |-Branch two:
% 265.38/207.20 | (573) ~ (all_0_16_16 = e4)
% 265.38/207.21 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (3571), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (1015) all_0_36_36 = e1
% 265.38/207.21 |
% 265.38/207.21 | Equations (1015) can reduce 586 to:
% 265.38/207.21 | (477) ~ (e4 = e1)
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 477 yields:
% 265.38/207.21 | (65) ~ (e4 = e1)
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (115), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (1446) all_0_31_31 = e4
% 265.38/207.21 |
% 265.38/207.21 | Equations (1446) can reduce 584 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (584) ~ (all_0_31_31 = e4)
% 265.38/207.21 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (6243), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (449) all_0_21_21 = e4
% 265.38/207.21 |
% 265.38/207.21 | Combining equations (449,453) yields a new equation:
% 265.38/207.21 | (690) e4 = e3
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 690 yields:
% 265.38/207.21 | (691) e4 = e3
% 265.38/207.21 |
% 265.38/207.21 | Equations (691) can reduce 277 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (448) ~ (all_0_21_21 = e4)
% 265.38/207.21 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (6248), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (1237) all_0_26_26 = e4
% 265.38/207.21 |
% 265.38/207.21 | From (1237) and (15458) follows:
% 265.38/207.21 | (6582) op(e4, e2) = e3
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (279), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (873) all_0_16_16 = e0
% 265.38/207.21 |
% 265.38/207.21 | Equations (873) can reduce 824 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (824) ~ (all_0_16_16 = e0)
% 265.38/207.21 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (876), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (529) all_0_21_21 = e0
% 265.38/207.21 |
% 265.38/207.21 | Combining equations (453,529) yields a new equation:
% 265.38/207.21 | (979) e3 = e0
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 979 yields:
% 265.38/207.21 | (980) e3 = e0
% 265.38/207.21 |
% 265.38/207.21 | Equations (980) can reduce 88 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (398) ~ (all_0_21_21 = e0)
% 265.38/207.21 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.38/207.21 |
% 265.38/207.21 | Equations (453) can reduce 398 to:
% 265.38/207.21 | (88) ~ (e3 = e0)
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (15490), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (6609) ~ (op(e4, e2) = e3)
% 265.38/207.21 |
% 265.38/207.21 | Using (6582) and (6609) yields:
% 265.38/207.21 | (821) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (6582) op(e4, e2) = e3
% 265.38/207.21 | (980) e3 = e0
% 265.38/207.21 |
% 265.38/207.21 | Equations (980) can reduce 88 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (582) ~ (all_0_26_26 = e4)
% 265.38/207.21 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (6263), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (1446) all_0_31_31 = e4
% 265.38/207.21 |
% 265.38/207.21 | Equations (1446) can reduce 584 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (584) ~ (all_0_31_31 = e4)
% 265.38/207.21 | (2611) all_0_36_36 = e4
% 265.38/207.21 |
% 265.38/207.21 | Combining equations (1015,2611) yields a new equation:
% 265.38/207.21 | (480) e4 = e1
% 265.38/207.21 |
% 265.38/207.21 | Equations (480) can reduce 65 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (1593) ~ (all_0_36_36 = e1)
% 265.38/207.21 | (1065) all_0_36_36 = e0
% 265.38/207.21 |
% 265.38/207.21 | Equations (1065) can reduce 386 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (1143) ~ (all_0_38_38 = e4)
% 265.38/207.21 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (165), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (1161) all_0_35_35 = e4
% 265.38/207.21 |
% 265.38/207.21 | Combining equations (1161,797) yields a new equation:
% 265.38/207.21 | (1111) e4 = e2
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 1111 yields:
% 265.38/207.21 | (539) e4 = e2
% 265.38/207.21 |
% 265.38/207.21 | Equations (539) can reduce 19 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (514) ~ (all_0_35_35 = e4)
% 265.38/207.21 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (1168), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (1077) all_0_38_38 = e3
% 265.38/207.21 |
% 265.38/207.21 | Equations (1077) can reduce 1080 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (1080) ~ (all_0_38_38 = e3)
% 265.38/207.21 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (1206), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (809) all_0_38_38 = e2
% 265.38/207.21 |
% 265.38/207.21 | Equations (809) can reduce 1084 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (1084) ~ (all_0_38_38 = e2)
% 265.38/207.21 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (1164), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (2611) all_0_36_36 = e4
% 265.38/207.21 |
% 265.38/207.21 | Equations (2611) can reduce 170 to:
% 265.38/207.21 | (582) ~ (all_0_26_26 = e4)
% 265.38/207.21 |
% 265.38/207.21 | Equations (2611) can reduce 7 to:
% 265.38/207.21 | (584) ~ (all_0_31_31 = e4)
% 265.38/207.21 |
% 265.38/207.21 | Equations (2611) can reduce 93 to:
% 265.38/207.21 | (1142) ~ (all_0_38_38 = e4)
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 1142 yields:
% 265.38/207.21 | (1143) ~ (all_0_38_38 = e4)
% 265.38/207.21 |
% 265.38/207.21 | Equations (2611) can reduce 516 to:
% 265.38/207.21 | (277) ~ (e4 = e3)
% 265.38/207.21 |
% 265.38/207.21 | Equations (2611) can reduce 386 to:
% 265.38/207.21 | (287) ~ (e4 = e0)
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (1210), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (1211) all_0_38_38 = e1
% 265.38/207.21 |
% 265.38/207.21 | Equations (1211) can reduce 142 to:
% 265.38/207.21 | (419) ~ (all_0_18_18 = e1)
% 265.38/207.21 |
% 265.38/207.21 | Equations (1211) can reduce 1143 to:
% 265.38/207.21 | (477) ~ (e4 = e1)
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 477 yields:
% 265.38/207.21 | (65) ~ (e4 = e1)
% 265.38/207.21 |
% 265.38/207.21 | Equations (1211) can reduce 1080 to:
% 265.38/207.21 | (429) ~ (e3 = e1)
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 429 yields:
% 265.38/207.21 | (318) ~ (e3 = e1)
% 265.38/207.21 |
% 265.38/207.21 | Equations (1211) can reduce 388 to:
% 265.38/207.21 | (37) ~ (e1 = e0)
% 265.38/207.21 |
% 265.38/207.21 | From (1211) and (312) follows:
% 265.38/207.21 | (15582) op(e1, all_0_34_34) = e1
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (26), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (887) all_0_18_18 = e4
% 265.38/207.21 |
% 265.38/207.21 | Equations (887) can reduce 1046 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (1046) ~ (all_0_18_18 = e4)
% 265.38/207.21 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (1047), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (1134) all_0_18_18 = e3
% 265.38/207.21 |
% 265.38/207.21 | Equations (1134) can reduce 9 to:
% 265.38/207.21 | (458) ~ (all_0_16_16 = e3)
% 265.38/207.21 |
% 265.38/207.21 | Equations (1134) can reduce 337 to:
% 265.38/207.21 | (561) ~ (all_0_19_19 = e3)
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 561 yields:
% 265.38/207.21 | (562) ~ (all_0_19_19 = e3)
% 265.38/207.21 |
% 265.38/207.21 | Equations (1134) can reduce 1046 to:
% 265.38/207.21 | (695) ~ (e4 = e3)
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 695 yields:
% 265.38/207.21 | (277) ~ (e4 = e3)
% 265.38/207.21 |
% 265.38/207.21 | Equations (1134) can reduce 666 to:
% 265.38/207.21 | (56) ~ (e3 = e2)
% 265.38/207.21 |
% 265.38/207.21 | Equations (1134) can reduce 419 to:
% 265.38/207.21 | (318) ~ (e3 = e1)
% 265.38/207.21 |
% 265.38/207.21 | Equations (1134) can reduce 1156 to:
% 265.38/207.21 | (88) ~ (e3 = e0)
% 265.38/207.21 |
% 265.38/207.21 | From (1134) and (238) follows:
% 265.38/207.21 | (14383) op(e3, all_0_30_30) = e1
% 265.38/207.21 |
% 265.38/207.21 | Instantiating formula (97) with e3, e0, e1, all_0_24_24 and discharging atoms op(e3, e0) = all_0_24_24, yields:
% 265.38/207.21 | (13292) all_0_24_24 = e1 | ~ (op(e3, e0) = e1)
% 265.38/207.21 |
% 265.38/207.21 | Instantiating formula (97) with e1, e3, e1, all_0_31_31 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 265.38/207.21 | (15598) all_0_31_31 = e1 | ~ (op(e1, e3) = e1)
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (111), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (468) all_0_15_15 = e3
% 265.38/207.21 |
% 265.38/207.21 | Combining equations (468,464) yields a new equation:
% 265.38/207.21 | (691) e4 = e3
% 265.38/207.21 |
% 265.38/207.21 | Equations (691) can reduce 277 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (433) ~ (all_0_15_15 = e3)
% 265.38/207.21 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (127), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (790) all_0_30_30 = e0
% 265.38/207.21 |
% 265.38/207.21 | Equations (790) can reduce 58 to:
% 265.38/207.21 | (1925) ~ (all_0_25_25 = e0)
% 265.38/207.21 |
% 265.38/207.21 | Equations (790) can reduce 217 to:
% 265.38/207.21 | (1856) ~ (all_0_31_31 = e0)
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 1856 yields:
% 265.38/207.21 | (1064) ~ (all_0_31_31 = e0)
% 265.38/207.21 |
% 265.38/207.21 | Equations (790) can reduce 509 to:
% 265.38/207.21 | (389) ~ (e4 = e0)
% 265.38/207.21 |
% 265.38/207.21 | Simplifying 389 yields:
% 265.38/207.21 | (287) ~ (e4 = e0)
% 265.38/207.21 |
% 265.38/207.21 | From (790) and (14383) follows:
% 265.38/207.21 | (13829) op(e3, e0) = e1
% 265.38/207.21 |
% 265.38/207.21 +-Applying beta-rule and splitting (7536), into two cases.
% 265.38/207.21 |-Branch one:
% 265.38/207.21 | (903) all_0_20_20 = e3
% 265.38/207.21 |
% 265.38/207.21 | Equations (903) can reduce 564 to:
% 265.38/207.21 | (366) $false
% 265.38/207.21 |
% 265.38/207.21 |-The branch is then unsatisfiable
% 265.38/207.21 |-Branch two:
% 265.38/207.21 | (564) ~ (all_0_20_20 = e3)
% 265.38/207.22 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (8890), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (2438) all_0_25_25 = e3
% 265.38/207.22 |
% 265.38/207.22 | Equations (2438) can reduce 62 to:
% 265.38/207.22 | (897) ~ (all_0_29_29 = e3)
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 897 yields:
% 265.38/207.22 | (898) ~ (all_0_29_29 = e3)
% 265.38/207.22 |
% 265.38/207.22 | Equations (2438) can reduce 1925 to:
% 265.38/207.22 | (88) ~ (e3 = e0)
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (13292), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (13830) ~ (op(e3, e0) = e1)
% 265.38/207.22 |
% 265.38/207.22 | Using (13829) and (13830) yields:
% 265.38/207.22 | (821) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (13829) op(e3, e0) = e1
% 265.38/207.22 | (940) all_0_24_24 = e1
% 265.38/207.22 |
% 265.38/207.22 | Equations (940) can reduce 87 to:
% 265.38/207.22 | (720) ~ (all_0_19_19 = e1)
% 265.38/207.22 |
% 265.38/207.22 | Equations (940) can reduce 963 to:
% 265.38/207.22 | (429) ~ (e3 = e1)
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 429 yields:
% 265.38/207.22 | (318) ~ (e3 = e1)
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (323), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (476) all_0_15_15 = e1
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (464,476) yields a new equation:
% 265.38/207.22 | (955) e4 = e1
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 955 yields:
% 265.38/207.22 | (480) e4 = e1
% 265.38/207.22 |
% 265.38/207.22 | Equations (480) can reduce 65 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (482) ~ (all_0_15_15 = e1)
% 265.38/207.22 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (709), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (921) all_0_16_16 = e1
% 265.38/207.22 |
% 265.38/207.22 | Equations (921) can reduce 10 to:
% 265.38/207.22 | (1613) ~ (all_0_31_31 = e1)
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 1613 yields:
% 265.38/207.22 | (423) ~ (all_0_31_31 = e1)
% 265.38/207.22 |
% 265.38/207.22 | Equations (921) can reduce 824 to:
% 265.38/207.22 | (37) ~ (e1 = e0)
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (279), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (873) all_0_16_16 = e0
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (873,921) yields a new equation:
% 265.38/207.22 | (961) e1 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (961) can reduce 37 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (824) ~ (all_0_16_16 = e0)
% 265.38/207.22 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (876), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (529) all_0_21_21 = e0
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (453,529) yields a new equation:
% 265.38/207.22 | (979) e3 = e0
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 979 yields:
% 265.38/207.22 | (980) e3 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (980) can reduce 88 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (398) ~ (all_0_21_21 = e0)
% 265.38/207.22 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (882), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (883) all_0_26_26 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (883) can reduce 145 to:
% 265.38/207.22 | (1856) ~ (all_0_31_31 = e0)
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 1856 yields:
% 265.38/207.22 | (1064) ~ (all_0_31_31 = e0)
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (115), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (1446) all_0_31_31 = e4
% 265.38/207.22 |
% 265.38/207.22 | Equations (1446) can reduce 584 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (584) ~ (all_0_31_31 = e4)
% 265.38/207.22 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (1631), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (763) all_0_31_31 = e3
% 265.38/207.22 |
% 265.38/207.22 | Equations (763) can reduce 510 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (510) ~ (all_0_31_31 = e3)
% 265.38/207.22 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (1635), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (751) all_0_31_31 = e2
% 265.38/207.22 |
% 265.38/207.22 | Equations (751) can reduce 1099 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (1099) ~ (all_0_31_31 = e2)
% 265.38/207.22 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (1639), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (1010) all_0_31_31 = e1
% 265.38/207.22 |
% 265.38/207.22 | Equations (1010) can reduce 423 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (423) ~ (all_0_31_31 = e1)
% 265.38/207.22 | (1060) all_0_31_31 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (1060) can reduce 1064 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (1058) ~ (all_0_26_26 = e0)
% 265.38/207.22 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (1059), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (1060) all_0_31_31 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (1060) can reduce 1064 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (1064) ~ (all_0_31_31 = e0)
% 265.38/207.22 | (1065) all_0_36_36 = e0
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (2611,1065) yields a new equation:
% 265.38/207.22 | (842) e4 = e0
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 842 yields:
% 265.38/207.22 | (490) e4 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (490) can reduce 287 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (985) ~ (all_0_16_16 = e1)
% 265.38/207.22 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (279), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (873) all_0_16_16 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (873) can reduce 824 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (824) ~ (all_0_16_16 = e0)
% 265.38/207.22 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (230), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (927) all_0_19_19 = e3
% 265.38/207.22 |
% 265.38/207.22 | Equations (927) can reduce 562 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (562) ~ (all_0_19_19 = e3)
% 265.38/207.22 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (931), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (939) all_0_24_24 = e3
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (939,940) yields a new equation:
% 265.38/207.22 | (933) e3 = e1
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 933 yields:
% 265.38/207.22 | (706) e3 = e1
% 265.38/207.22 |
% 265.38/207.22 | Equations (706) can reduce 318 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (963) ~ (all_0_24_24 = e3)
% 265.38/207.22 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (876), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (529) all_0_21_21 = e0
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (453,529) yields a new equation:
% 265.38/207.22 | (979) e3 = e0
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 979 yields:
% 265.38/207.22 | (980) e3 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (980) can reduce 88 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (398) ~ (all_0_21_21 = e0)
% 265.38/207.22 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (453) can reduce 398 to:
% 265.38/207.22 | (88) ~ (e3 = e0)
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (964), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (1023) all_0_29_29 = e3
% 265.38/207.22 |
% 265.38/207.22 | Equations (1023) can reduce 898 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (898) ~ (all_0_29_29 = e3)
% 265.38/207.22 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (1026), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (1027) all_0_34_34 = e3
% 265.38/207.22 |
% 265.38/207.22 | Equations (1027) can reduce 188 to:
% 265.38/207.22 | (510) ~ (all_0_31_31 = e3)
% 265.38/207.22 |
% 265.38/207.22 | From (1027) and (15582) follows:
% 265.38/207.22 | (15705) op(e1, e3) = e1
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (15598), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (15706) ~ (op(e1, e3) = e1)
% 265.38/207.22 |
% 265.38/207.22 | Using (15705) and (15706) yields:
% 265.38/207.22 | (821) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (15705) op(e1, e3) = e1
% 265.38/207.22 | (1010) all_0_31_31 = e1
% 265.38/207.22 |
% 265.38/207.22 | Equations (1010) can reduce 510 to:
% 265.38/207.22 | (429) ~ (e3 = e1)
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 429 yields:
% 265.38/207.22 | (318) ~ (e3 = e1)
% 265.38/207.22 |
% 265.38/207.22 | Equations (1010) can reduce 1064 to:
% 265.38/207.22 | (37) ~ (e1 = e0)
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (1373), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (1498) all_0_17_17 = e1
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (1498,823) yields a new equation:
% 265.38/207.22 | (960) e1 = e0
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 960 yields:
% 265.38/207.22 | (961) e1 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (961) can reduce 37 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (1501) ~ (all_0_17_17 = e1)
% 265.38/207.22 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 265.38/207.22 |
% 265.38/207.22 +-Applying beta-rule and splitting (1681), into two cases.
% 265.38/207.22 |-Branch one:
% 265.38/207.22 | (1278) all_0_18_18 = e1
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (1278,1134) yields a new equation:
% 265.38/207.22 | (706) e3 = e1
% 265.38/207.22 |
% 265.38/207.22 | Equations (706) can reduce 318 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (419) ~ (all_0_18_18 = e1)
% 265.38/207.22 | (716) all_0_19_19 = e1
% 265.38/207.22 |
% 265.38/207.22 | Equations (716) can reduce 720 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.38/207.22 | (1031) ~ (all_0_34_34 = e3)
% 265.38/207.22 | (369) all_0_39_39 = e3
% 265.38/207.22 |
% 265.38/207.22 | Combining equations (369,380) yields a new equation:
% 265.38/207.22 | (979) e3 = e0
% 265.38/207.22 |
% 265.38/207.22 | Simplifying 979 yields:
% 265.38/207.22 | (980) e3 = e0
% 265.38/207.22 |
% 265.38/207.22 | Equations (980) can reduce 88 to:
% 265.38/207.22 | (366) $false
% 265.38/207.22 |
% 265.38/207.22 |-The branch is then unsatisfiable
% 265.38/207.22 |-Branch two:
% 265.42/207.22 | (566) ~ (all_0_25_25 = e3)
% 265.42/207.23 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (8920), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (759) all_0_30_30 = e3
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (790,759) yields a new equation:
% 265.42/207.23 | (980) e3 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (980) can reduce 88 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (568) ~ (all_0_30_30 = e3)
% 265.42/207.23 | (814) all_0_35_35 = e3
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (797,814) yields a new equation:
% 265.42/207.23 | (764) e3 = e2
% 265.42/207.23 |
% 265.42/207.23 | Equations (764) can reduce 56 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (1878) ~ (all_0_30_30 = e0)
% 265.42/207.23 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (1879), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1060) all_0_31_31 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (1060) can reduce 145 to:
% 265.42/207.23 | (1058) ~ (all_0_26_26 = e0)
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (182), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1237) all_0_26_26 = e4
% 265.42/207.23 |
% 265.42/207.23 | Equations (1237) can reduce 582 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (582) ~ (all_0_26_26 = e4)
% 265.42/207.23 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (228), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (921) all_0_16_16 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (921) can reduce 139 to:
% 265.42/207.23 | (5348) ~ (all_0_26_26 = e1)
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 5348 yields:
% 265.42/207.23 | (1008) ~ (all_0_26_26 = e1)
% 265.42/207.23 |
% 265.42/207.23 | Equations (921) can reduce 458 to:
% 265.42/207.23 | (429) ~ (e3 = e1)
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 429 yields:
% 265.42/207.23 | (318) ~ (e3 = e1)
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (5353), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (2443) all_0_26_26 = e3
% 265.42/207.23 |
% 265.42/207.23 | Equations (2443) can reduce 504 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (504) ~ (all_0_26_26 = e3)
% 265.42/207.23 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (5357), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (2380) all_0_26_26 = e2
% 265.42/207.23 |
% 265.42/207.23 | From (2380) and (15458) follows:
% 265.42/207.23 | (8318) op(e2, e2) = e3
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (15487), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (8319) ~ (op(e2, e2) = e3)
% 265.42/207.23 |
% 265.42/207.23 | Using (8318) and (8319) yields:
% 265.42/207.23 | (821) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (8318) op(e2, e2) = e3
% 265.42/207.23 | (706) e3 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (706) can reduce 318 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (647) ~ (all_0_26_26 = e2)
% 265.42/207.23 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (5361), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1005) all_0_26_26 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (1005) can reduce 1008 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (1008) ~ (all_0_26_26 = e1)
% 265.42/207.23 | (883) all_0_26_26 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (883) can reduce 1058 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (985) ~ (all_0_16_16 = e1)
% 265.42/207.23 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (323), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (476) all_0_15_15 = e1
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (464,476) yields a new equation:
% 265.42/207.23 | (955) e4 = e1
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 955 yields:
% 265.42/207.23 | (480) e4 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (480) can reduce 65 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (482) ~ (all_0_15_15 = e1)
% 265.42/207.23 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (5353), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (2443) all_0_26_26 = e3
% 265.42/207.23 |
% 265.42/207.23 | Equations (2443) can reduce 504 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (504) ~ (all_0_26_26 = e3)
% 265.42/207.23 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (5357), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (2380) all_0_26_26 = e2
% 265.42/207.23 |
% 265.42/207.23 | Equations (2380) can reduce 1008 to:
% 265.42/207.23 | (329) ~ (e2 = e1)
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (709), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (921) all_0_16_16 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (921) can reduce 985 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (985) ~ (all_0_16_16 = e1)
% 265.42/207.23 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (1373), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1498) all_0_17_17 = e1
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (1498,823) yields a new equation:
% 265.42/207.23 | (960) e1 = e0
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 960 yields:
% 265.42/207.23 | (961) e1 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (961) can reduce 37 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (1501) ~ (all_0_17_17 = e1)
% 265.42/207.23 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (986), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (526) all_0_21_21 = e1
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (453,526) yields a new equation:
% 265.42/207.23 | (933) e3 = e1
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 933 yields:
% 265.42/207.23 | (706) e3 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (706) can reduce 318 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (363) ~ (all_0_21_21 = e1)
% 265.42/207.23 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (453) can reduce 363 to:
% 265.42/207.23 | (318) ~ (e3 = e1)
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (1681), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1278) all_0_18_18 = e1
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (1134,1278) yields a new equation:
% 265.42/207.23 | (933) e3 = e1
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 933 yields:
% 265.42/207.23 | (706) e3 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (706) can reduce 318 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (419) ~ (all_0_18_18 = e1)
% 265.42/207.23 | (716) all_0_19_19 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (716) can reduce 714 to:
% 265.42/207.23 | (477) ~ (e4 = e1)
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 477 yields:
% 265.42/207.23 | (65) ~ (e4 = e1)
% 265.42/207.23 |
% 265.42/207.23 | Equations (716) can reduce 381 to:
% 265.42/207.23 | (37) ~ (e1 = e0)
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (998), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1005) all_0_26_26 = e1
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (2380,1005) yields a new equation:
% 265.42/207.23 | (717) e2 = e1
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 717 yields:
% 265.42/207.23 | (718) e2 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (718) can reduce 329 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (1008) ~ (all_0_26_26 = e1)
% 265.42/207.23 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (1009), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1010) all_0_31_31 = e1
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (1060,1010) yields a new equation:
% 265.42/207.23 | (961) e1 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (961) can reduce 37 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (423) ~ (all_0_31_31 = e1)
% 265.42/207.23 | (1015) all_0_36_36 = e1
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (1015,2611) yields a new equation:
% 265.42/207.23 | (480) e4 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (480) can reduce 65 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (647) ~ (all_0_26_26 = e2)
% 265.42/207.23 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (5361), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1005) all_0_26_26 = e1
% 265.42/207.23 |
% 265.42/207.23 | Equations (1005) can reduce 1008 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (1008) ~ (all_0_26_26 = e1)
% 265.42/207.23 | (883) all_0_26_26 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (883) can reduce 1058 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (1064) ~ (all_0_31_31 = e0)
% 265.42/207.23 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (1883), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1626) all_0_32_32 = e0
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (1626,1229) yields a new equation:
% 265.42/207.23 | (490) e4 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (490) can reduce 287 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (1946) ~ (all_0_32_32 = e0)
% 265.42/207.23 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 265.42/207.23 |
% 265.42/207.23 +-Applying beta-rule and splitting (1947), into two cases.
% 265.42/207.23 |-Branch one:
% 265.42/207.23 | (1254) all_0_33_33 = e0
% 265.42/207.23 |
% 265.42/207.23 | Combining equations (414,1254) yields a new equation:
% 265.42/207.23 | (836) e2 = e0
% 265.42/207.23 |
% 265.42/207.23 | Simplifying 836 yields:
% 265.42/207.23 | (551) e2 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (551) can reduce 347 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.23 |-Branch two:
% 265.42/207.23 | (399) ~ (all_0_33_33 = e0)
% 265.42/207.23 | (1717) all_0_34_34 = e0
% 265.42/207.23 |
% 265.42/207.23 | Equations (1717) can reduce 384 to:
% 265.42/207.23 | (366) $false
% 265.42/207.23 |
% 265.42/207.23 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (560) ~ (all_0_18_18 = e3)
% 265.42/207.24 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (1270), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (1274) all_0_18_18 = e2
% 265.42/207.24 |
% 265.42/207.24 | Equations (1274) can reduce 666 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (666) ~ (all_0_18_18 = e2)
% 265.42/207.24 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (269), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (1134) all_0_18_18 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (1134) can reduce 560 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (560) ~ (all_0_18_18 = e3)
% 265.42/207.24 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (72), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (468) all_0_15_15 = e3
% 265.42/207.24 |
% 265.42/207.24 | Combining equations (468,464) yields a new equation:
% 265.42/207.24 | (691) e4 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (691) can reduce 277 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (433) ~ (all_0_15_15 = e3)
% 265.42/207.24 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (464) can reduce 433 to:
% 265.42/207.24 | (277) ~ (e4 = e3)
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (1137), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (978) all_0_23_23 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (978) can reduce 982 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (982) ~ (all_0_23_23 = e3)
% 265.42/207.24 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (3084), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (896) all_0_28_28 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (896) can reduce 86 to:
% 265.42/207.24 | (982) ~ (all_0_23_23 = e3)
% 265.42/207.24 |
% 265.42/207.24 | Equations (896) can reduce 193 to:
% 265.42/207.24 | (566) ~ (all_0_25_25 = e3)
% 265.42/207.24 |
% 265.42/207.24 | From (896) and (3302) follows:
% 265.42/207.24 | (1171) op(e3, e4) = e1
% 265.42/207.24 |
% 265.42/207.24 | From (896) and (3303) follows:
% 265.42/207.24 | (3029) op(e4, e3) = e2
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (111), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (468) all_0_15_15 = e3
% 265.42/207.24 |
% 265.42/207.24 | Combining equations (464,468) yields a new equation:
% 265.42/207.24 | (690) e4 = e3
% 265.42/207.24 |
% 265.42/207.24 | Simplifying 690 yields:
% 265.42/207.24 | (691) e4 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (691) can reduce 277 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (433) ~ (all_0_15_15 = e3)
% 265.42/207.24 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (7536), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (903) all_0_20_20 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (903) can reduce 564 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (564) ~ (all_0_20_20 = e3)
% 265.42/207.24 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (8890), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (2438) all_0_25_25 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (2438) can reduce 566 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (566) ~ (all_0_25_25 = e3)
% 265.42/207.24 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (15489), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (2992) ~ (op(e4, e3) = e2)
% 265.42/207.24 |
% 265.42/207.24 | Using (3029) and (2992) yields:
% 265.42/207.24 | (821) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (3029) op(e4, e3) = e2
% 265.42/207.24 | (697) all_0_16_16 = e2
% 265.42/207.24 |
% 265.42/207.24 | Equations (697) can reduce 236 to:
% 265.42/207.24 | (7443) ~ (all_0_19_19 = e2)
% 265.42/207.24 |
% 265.42/207.24 | Simplifying 7443 yields:
% 265.42/207.24 | (2785) ~ (all_0_19_19 = e2)
% 265.42/207.24 |
% 265.42/207.24 | Equations (697) can reduce 458 to:
% 265.42/207.24 | (658) ~ (e3 = e2)
% 265.42/207.24 |
% 265.42/207.24 | Simplifying 658 yields:
% 265.42/207.24 | (56) ~ (e3 = e2)
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (8920), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (759) all_0_30_30 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (759) can reduce 58 to:
% 265.42/207.24 | (566) ~ (all_0_25_25 = e3)
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (937), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (1175) all_0_20_20 = e1
% 265.42/207.24 |
% 265.42/207.24 | Equations (1175) can reduce 272 to:
% 265.42/207.24 | (3684) ~ (all_0_23_23 = e1)
% 265.42/207.24 |
% 265.42/207.24 | Simplifying 3684 yields:
% 265.42/207.24 | (420) ~ (all_0_23_23 = e1)
% 265.42/207.24 |
% 265.42/207.24 | Equations (1175) can reduce 95 to:
% 265.42/207.24 | (4378) ~ (all_0_25_25 = e1)
% 265.42/207.24 |
% 265.42/207.24 | Simplifying 4378 yields:
% 265.42/207.24 | (946) ~ (all_0_25_25 = e1)
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (23), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (3159) all_0_25_25 = e2
% 265.42/207.24 |
% 265.42/207.24 | Equations (3159) can reduce 646 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (646) ~ (all_0_25_25 = e2)
% 265.42/207.24 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (192), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (663) all_0_19_19 = e2
% 265.42/207.24 |
% 265.42/207.24 | Equations (663) can reduce 2785 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (2785) ~ (all_0_19_19 = e2)
% 265.42/207.24 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (154), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (685) all_0_24_24 = e4
% 265.42/207.24 |
% 265.42/207.24 | Equations (685) can reduce 118 to:
% 265.42/207.24 | (578) ~ (all_0_23_23 = e4)
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (137), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (1515) all_0_23_23 = e4
% 265.42/207.24 |
% 265.42/207.24 | Equations (1515) can reduce 578 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (578) ~ (all_0_23_23 = e4)
% 265.42/207.24 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (3943), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (978) all_0_23_23 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (978) can reduce 982 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (982) ~ (all_0_23_23 = e3)
% 265.42/207.24 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (3947), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (1126) all_0_23_23 = e2
% 265.42/207.24 |
% 265.42/207.24 | Equations (1126) can reduce 810 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (810) ~ (all_0_23_23 = e2)
% 265.42/207.24 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (3951), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (3952) all_0_23_23 = e1
% 265.42/207.24 |
% 265.42/207.24 | Equations (3952) can reduce 420 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (420) ~ (all_0_23_23 = e1)
% 265.42/207.24 | (851) all_0_23_23 = e0
% 265.42/207.24 |
% 265.42/207.24 | Equations (851) can reduce 110 to:
% 265.42/207.24 | (1156) ~ (all_0_18_18 = e0)
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (1277), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (1278) all_0_18_18 = e1
% 265.42/207.24 |
% 265.42/207.24 | Equations (1278) can reduce 419 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (419) ~ (all_0_18_18 = e1)
% 265.42/207.24 | (1153) all_0_18_18 = e0
% 265.42/207.24 |
% 265.42/207.24 | Equations (1153) can reduce 1156 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (580) ~ (all_0_24_24 = e4)
% 265.42/207.24 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (688), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (939) all_0_24_24 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (939) can reduce 963 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (963) ~ (all_0_24_24 = e3)
% 265.42/207.24 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (968), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (1393) all_0_24_24 = e2
% 265.42/207.24 |
% 265.42/207.24 | Equations (1393) can reduce 668 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (668) ~ (all_0_24_24 = e2)
% 265.42/207.24 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (3136), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (2438) all_0_25_25 = e3
% 265.42/207.24 |
% 265.42/207.24 | Equations (2438) can reduce 566 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (566) ~ (all_0_25_25 = e3)
% 265.42/207.24 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (3158), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (3159) all_0_25_25 = e2
% 265.42/207.24 |
% 265.42/207.24 | Equations (3159) can reduce 646 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (646) ~ (all_0_25_25 = e2)
% 265.42/207.24 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (2786), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (1393) all_0_24_24 = e2
% 265.42/207.24 |
% 265.42/207.24 | Equations (1393) can reduce 668 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (668) ~ (all_0_24_24 = e2)
% 265.42/207.24 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (3162), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (950) all_0_25_25 = e1
% 265.42/207.24 |
% 265.42/207.24 | Equations (950) can reduce 946 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (946) ~ (all_0_25_25 = e1)
% 265.42/207.24 | (1921) all_0_25_25 = e0
% 265.42/207.24 |
% 265.42/207.24 | Equations (1921) can reduce 128 to:
% 265.42/207.24 | (2897) ~ (all_0_26_26 = e0)
% 265.42/207.24 |
% 265.42/207.24 | Simplifying 2897 yields:
% 265.42/207.24 | (1058) ~ (all_0_26_26 = e0)
% 265.42/207.24 |
% 265.42/207.24 | Equations (1921) can reduce 646 to:
% 265.42/207.24 | (393) ~ (e2 = e0)
% 265.42/207.24 |
% 265.42/207.24 | Simplifying 393 yields:
% 265.42/207.24 | (347) ~ (e2 = e0)
% 265.42/207.24 |
% 265.42/207.24 +-Applying beta-rule and splitting (279), into two cases.
% 265.42/207.24 |-Branch one:
% 265.42/207.24 | (873) all_0_16_16 = e0
% 265.42/207.24 |
% 265.42/207.24 | Combining equations (873,697) yields a new equation:
% 265.42/207.24 | (551) e2 = e0
% 265.42/207.24 |
% 265.42/207.24 | Equations (551) can reduce 347 to:
% 265.42/207.24 | (366) $false
% 265.42/207.24 |
% 265.42/207.24 |-The branch is then unsatisfiable
% 265.42/207.24 |-Branch two:
% 265.42/207.24 | (824) ~ (all_0_16_16 = e0)
% 265.42/207.24 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.42/207.24 |
% 265.42/207.24 | Equations (697) can reduce 824 to:
% 265.42/207.25 | (347) ~ (e2 = e0)
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (4102), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (4103) all_0_29_29 = e2
% 265.42/207.25 |
% 265.42/207.25 | From (4103) and (9987) follows:
% 265.42/207.25 | (5161) op(e2, e3) = e0
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (5075), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (5162) ~ (op(e2, e3) = e0)
% 265.42/207.25 |
% 265.42/207.25 | Using (5161) and (5162) yields:
% 265.42/207.25 | (821) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (5161) op(e2, e3) = e0
% 265.42/207.25 | (883) all_0_26_26 = e0
% 265.42/207.25 |
% 265.42/207.25 | Equations (883) can reduce 1058 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (651) ~ (all_0_29_29 = e2)
% 265.42/207.25 | (4106) all_0_34_34 = e2 | all_0_39_39 = e2
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (4106), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1110) all_0_34_34 = e2
% 265.42/207.25 |
% 265.42/207.25 | Equations (1110) can reduce 672 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (672) ~ (all_0_34_34 = e2)
% 265.42/207.25 | (373) all_0_39_39 = e2
% 265.42/207.25 |
% 265.42/207.25 | Combining equations (373,380) yields a new equation:
% 265.42/207.25 | (836) e2 = e0
% 265.42/207.25 |
% 265.42/207.25 | Simplifying 836 yields:
% 265.42/207.25 | (551) e2 = e0
% 265.42/207.25 |
% 265.42/207.25 | Equations (551) can reduce 347 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (1409) ~ (all_0_20_20 = e1)
% 265.42/207.25 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (308), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1175) all_0_20_20 = e1
% 265.42/207.25 |
% 265.42/207.25 | Equations (1175) can reduce 1409 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (1409) ~ (all_0_20_20 = e1)
% 265.42/207.25 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (732), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1172) ~ (op(e3, e4) = e1)
% 265.42/207.25 |
% 265.42/207.25 | Using (1171) and (1172) yields:
% 265.42/207.25 | (821) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (1171) op(e3, e4) = e1
% 265.42/207.25 | (1175) all_0_20_20 = e1
% 265.42/207.25 |
% 265.42/207.25 | Equations (1175) can reduce 1409 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (568) ~ (all_0_30_30 = e3)
% 265.42/207.25 | (814) all_0_35_35 = e3
% 265.42/207.25 |
% 265.42/207.25 | Combining equations (797,814) yields a new equation:
% 265.42/207.25 | (764) e3 = e2
% 265.42/207.25 |
% 265.42/207.25 | Equations (764) can reduce 56 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (1035) ~ (all_0_28_28 = e3)
% 265.42/207.25 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (3089), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (410) all_0_33_33 = e3
% 265.42/207.25 |
% 265.42/207.25 | Combining equations (414,410) yields a new equation:
% 265.42/207.25 | (764) e3 = e2
% 265.42/207.25 |
% 265.42/207.25 | Equations (764) can reduce 56 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (403) ~ (all_0_33_33 = e3)
% 265.42/207.25 | (1077) all_0_38_38 = e3
% 265.42/207.25 |
% 265.42/207.25 | Combining equations (1211,1077) yields a new equation:
% 265.42/207.25 | (706) e3 = e1
% 265.42/207.25 |
% 265.42/207.25 | Equations (706) can reduce 318 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (428) ~ (all_0_38_38 = e1)
% 265.42/207.25 | (1214) all_0_38_38 = e0
% 265.42/207.25 |
% 265.42/207.25 | Equations (1214) can reduce 388 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (586) ~ (all_0_36_36 = e4)
% 265.42/207.25 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (187), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (2611) all_0_36_36 = e4
% 265.42/207.25 |
% 265.42/207.25 | Equations (2611) can reduce 586 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (586) ~ (all_0_36_36 = e4)
% 265.42/207.25 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (1210), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1211) all_0_38_38 = e1
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (2633), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1232) all_0_37_37 = e4
% 265.42/207.25 |
% 265.42/207.25 | Combining equations (1232,1073) yields a new equation:
% 265.42/207.25 | (690) e4 = e3
% 265.42/207.25 |
% 265.42/207.25 | Simplifying 690 yields:
% 265.42/207.25 | (691) e4 = e3
% 265.42/207.25 |
% 265.42/207.25 | Equations (691) can reduce 277 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (2658) ~ (all_0_37_37 = e4)
% 265.42/207.25 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 265.42/207.25 |
% 265.42/207.25 | Equations (1073) can reduce 2658 to:
% 265.42/207.25 | (695) ~ (e4 = e3)
% 265.42/207.25 |
% 265.42/207.25 | Simplifying 695 yields:
% 265.42/207.25 | (277) ~ (e4 = e3)
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (163), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (701) all_0_16_16 = e4
% 265.42/207.25 |
% 265.42/207.25 | Equations (701) can reduce 573 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (573) ~ (all_0_16_16 = e4)
% 265.42/207.25 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (6243), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (449) all_0_21_21 = e4
% 265.42/207.25 |
% 265.42/207.25 | Combining equations (449,453) yields a new equation:
% 265.42/207.25 | (690) e4 = e3
% 265.42/207.25 |
% 265.42/207.25 | Simplifying 690 yields:
% 265.42/207.25 | (691) e4 = e3
% 265.42/207.25 |
% 265.42/207.25 | Equations (691) can reduce 277 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (448) ~ (all_0_21_21 = e4)
% 265.42/207.25 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (6248), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1237) all_0_26_26 = e4
% 265.42/207.25 |
% 265.42/207.25 | Equations (1237) can reduce 1008 to:
% 265.42/207.25 | (65) ~ (e4 = e1)
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (2659), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1165) all_0_38_38 = e4
% 265.42/207.25 |
% 265.42/207.25 | Combining equations (1211,1165) yields a new equation:
% 265.42/207.25 | (480) e4 = e1
% 265.42/207.25 |
% 265.42/207.25 | Equations (480) can reduce 65 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (1143) ~ (all_0_38_38 = e4)
% 265.42/207.25 | (365) all_0_39_39 = e4
% 265.42/207.25 |
% 265.42/207.25 | Combining equations (365,380) yields a new equation:
% 265.42/207.25 | (842) e4 = e0
% 265.42/207.25 |
% 265.42/207.25 | Simplifying 842 yields:
% 265.42/207.25 | (490) e4 = e0
% 265.42/207.25 |
% 265.42/207.25 | Equations (490) can reduce 287 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (582) ~ (all_0_26_26 = e4)
% 265.42/207.25 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (6263), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1446) all_0_31_31 = e4
% 265.42/207.25 |
% 265.42/207.25 | Equations (1446) can reduce 584 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (584) ~ (all_0_31_31 = e4)
% 265.42/207.25 | (2611) all_0_36_36 = e4
% 265.42/207.25 |
% 265.42/207.25 | Equations (2611) can reduce 586 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (428) ~ (all_0_38_38 = e1)
% 265.42/207.25 | (1214) all_0_38_38 = e0
% 265.42/207.25 |
% 265.42/207.25 | Equations (1214) can reduce 388 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (727) ~ (all_0_32_32 = e4)
% 265.42/207.25 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (1506), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (772) all_0_32_32 = e3
% 265.42/207.25 |
% 265.42/207.25 | Equations (772) can reduce 1089 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (1089) ~ (all_0_32_32 = e3)
% 265.42/207.25 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (1618), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1101) all_0_32_32 = e2
% 265.42/207.25 |
% 265.42/207.25 | Equations (1101) can reduce 508 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (508) ~ (all_0_32_32 = e2)
% 265.42/207.25 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 265.42/207.25 |
% 265.42/207.25 +-Applying beta-rule and splitting (1622), into two cases.
% 265.42/207.25 |-Branch one:
% 265.42/207.25 | (1587) all_0_32_32 = e1
% 265.42/207.25 |
% 265.42/207.25 | Equations (1587) can reduce 424 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.25 |-Branch two:
% 265.42/207.25 | (424) ~ (all_0_32_32 = e1)
% 265.42/207.25 | (1626) all_0_32_32 = e0
% 265.42/207.25 |
% 265.42/207.25 | Equations (1626) can reduce 1946 to:
% 265.42/207.25 | (366) $false
% 265.42/207.25 |
% 265.42/207.25 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (493) ~ (all_0_22_22 = e2)
% 265.42/207.26 | (16070) all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (51), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (736) all_0_20_20 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (736) can reduce 1114 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (1114) ~ (all_0_20_20 = e2)
% 265.42/207.26 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (1115), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (522) all_0_21_21 = e2
% 265.42/207.26 |
% 265.42/207.26 | Combining equations (453,522) yields a new equation:
% 265.42/207.26 | (3874) e3 = e2
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 3874 yields:
% 265.42/207.26 | (764) e3 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (764) can reduce 56 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (361) ~ (all_0_21_21 = e2)
% 265.42/207.26 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (1121), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (917) all_0_22_22 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (917) can reduce 493 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (493) ~ (all_0_22_22 = e2)
% 265.42/207.26 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (1125), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (1126) all_0_23_23 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (1126) can reduce 810 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (810) ~ (all_0_23_23 = e2)
% 265.42/207.26 | (1393) all_0_24_24 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (1393) can reduce 963 to:
% 265.42/207.26 | (658) ~ (e3 = e2)
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 658 yields:
% 265.42/207.26 | (56) ~ (e3 = e2)
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (16070), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (443) all_0_27_27 = e2
% 265.42/207.26 |
% 265.42/207.26 | Combining equations (543,443) yields a new equation:
% 265.42/207.26 | (718) e2 = e1
% 265.42/207.26 |
% 265.42/207.26 | Equations (718) can reduce 329 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (500) ~ (all_0_27_27 = e2)
% 265.42/207.26 | (16095) all_0_32_32 = e2 | all_0_37_37 = e2
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (16095), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (1101) all_0_32_32 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (1101) can reduce 508 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (508) ~ (all_0_32_32 = e2)
% 265.42/207.26 | (805) all_0_37_37 = e2
% 265.42/207.26 |
% 265.42/207.26 | Combining equations (1073,805) yields a new equation:
% 265.42/207.26 | (3874) e3 = e2
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 3874 yields:
% 265.42/207.26 | (764) e3 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (764) can reduce 56 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (777) ~ (all_0_37_37 = e3)
% 265.42/207.26 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (3886), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (805) all_0_37_37 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (805) can reduce 515 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (515) ~ (all_0_37_37 = e2)
% 265.42/207.26 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (3890), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (1590) all_0_37_37 = e1
% 265.42/207.26 |
% 265.42/207.26 | Equations (1590) can reduce 2562 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (2562) ~ (all_0_37_37 = e1)
% 265.42/207.26 | (3111) all_0_37_37 = e0
% 265.42/207.26 |
% 265.42/207.26 | Equations (3111) can reduce 387 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (742) ~ (all_0_35_35 = e2)
% 265.42/207.26 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (122), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (1161) all_0_35_35 = e4
% 265.42/207.26 |
% 265.42/207.26 | Equations (1161) can reduce 514 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (514) ~ (all_0_35_35 = e4)
% 265.42/207.26 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (162), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (472) all_0_15_15 = e2
% 265.42/207.26 |
% 265.42/207.26 | Combining equations (472,464) yields a new equation:
% 265.42/207.26 | (539) e4 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (539) can reduce 19 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (447) ~ (all_0_15_15 = e2)
% 265.42/207.26 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (464) can reduce 447 to:
% 265.42/207.26 | (19) ~ (e4 = e2)
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (230), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (927) all_0_19_19 = e3
% 265.42/207.26 |
% 265.42/207.26 | Equations (927) can reduce 229 to:
% 265.42/207.26 | (897) ~ (all_0_29_29 = e3)
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 897 yields:
% 265.42/207.26 | (898) ~ (all_0_29_29 = e3)
% 265.42/207.26 |
% 265.42/207.26 | Equations (927) can reduce 280 to:
% 265.42/207.26 | (2981) ~ (all_0_34_34 = e3)
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 2981 yields:
% 265.42/207.26 | (1031) ~ (all_0_34_34 = e3)
% 265.42/207.26 |
% 265.42/207.26 | Equations (927) can reduce 381 to:
% 265.42/207.26 | (88) ~ (e3 = e0)
% 265.42/207.26 |
% 265.42/207.26 | From (927) and (332) follows:
% 265.42/207.26 | (12875) op(e3, all_0_35_35) = e0
% 265.42/207.26 |
% 265.42/207.26 | From (927) and (24) follows:
% 265.42/207.26 | (12876) op(all_0_35_35, e3) = e4
% 265.42/207.26 |
% 265.42/207.26 | Instantiating formula (97) with e1, e3, e4, all_0_31_31 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 265.42/207.26 | (12881) all_0_31_31 = e4 | ~ (op(e1, e3) = e4)
% 265.42/207.26 |
% 265.42/207.26 | Instantiating formula (97) with e3, e3, e0, e3 and discharging atoms op(e3, e3) = e3, yields:
% 265.42/207.26 | (10001) e3 = e0 | ~ (op(e3, e3) = e0)
% 265.42/207.26 |
% 265.42/207.26 | Instantiating formula (97) with e3, e1, e0, all_0_23_23 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 265.42/207.26 | (12883) all_0_23_23 = e0 | ~ (op(e3, e1) = e0)
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (168), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (2438) all_0_25_25 = e3
% 265.42/207.26 |
% 265.42/207.26 | Equations (2438) can reduce 95 to:
% 265.42/207.26 | (564) ~ (all_0_20_20 = e3)
% 265.42/207.26 |
% 265.42/207.26 | Equations (2438) can reduce 58 to:
% 265.42/207.26 | (567) ~ (all_0_30_30 = e3)
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 567 yields:
% 265.42/207.26 | (568) ~ (all_0_30_30 = e3)
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (2921), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (736) all_0_20_20 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (736) can reduce 249 to:
% 265.42/207.26 | (741) ~ (all_0_35_35 = e2)
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 741 yields:
% 265.42/207.26 | (742) ~ (all_0_35_35 = e2)
% 265.42/207.26 |
% 265.42/207.26 | Equations (736) can reduce 564 to:
% 265.42/207.26 | (658) ~ (e3 = e2)
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 658 yields:
% 265.42/207.26 | (56) ~ (e3 = e2)
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (192), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (663) all_0_19_19 = e2
% 265.42/207.26 |
% 265.42/207.26 | Combining equations (663,927) yields a new equation:
% 265.42/207.26 | (764) e3 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (764) can reduce 56 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (2785) ~ (all_0_19_19 = e2)
% 265.42/207.26 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 265.42/207.26 |
% 265.42/207.26 | Equations (927) can reduce 2785 to:
% 265.42/207.26 | (56) ~ (e3 = e2)
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (155), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (759) all_0_30_30 = e3
% 265.42/207.26 |
% 265.42/207.26 | Equations (759) can reduce 568 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (568) ~ (all_0_30_30 = e3)
% 265.42/207.26 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (206), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (483) all_0_15_15 = e0
% 265.42/207.26 |
% 265.42/207.26 | Combining equations (483,464) yields a new equation:
% 265.42/207.26 | (490) e4 = e0
% 265.42/207.26 |
% 265.42/207.26 | Equations (490) can reduce 287 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (463) ~ (all_0_15_15 = e0)
% 265.42/207.26 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (1889), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (835) all_0_20_20 = e0
% 265.42/207.26 |
% 265.42/207.26 | Combining equations (835,736) yields a new equation:
% 265.42/207.26 | (551) e2 = e0
% 265.42/207.26 |
% 265.42/207.26 | Equations (551) can reduce 347 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (839) ~ (all_0_20_20 = e0)
% 265.42/207.26 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (1920), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (1921) all_0_25_25 = e0
% 265.42/207.26 |
% 265.42/207.26 | Combining equations (2438,1921) yields a new equation:
% 265.42/207.26 | (979) e3 = e0
% 265.42/207.26 |
% 265.42/207.26 | Simplifying 979 yields:
% 265.42/207.26 | (980) e3 = e0
% 265.42/207.26 |
% 265.42/207.26 | Equations (980) can reduce 88 to:
% 265.42/207.26 | (366) $false
% 265.42/207.26 |
% 265.42/207.26 |-The branch is then unsatisfiable
% 265.42/207.26 |-Branch two:
% 265.42/207.26 | (1925) ~ (all_0_25_25 = e0)
% 265.42/207.26 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 265.42/207.26 |
% 265.42/207.26 +-Applying beta-rule and splitting (1938), into two cases.
% 265.42/207.26 |-Branch one:
% 265.42/207.26 | (790) all_0_30_30 = e0
% 265.42/207.26 |
% 265.42/207.26 | Equations (790) can reduce 15 to:
% 265.42/207.27 | (2963) ~ (all_0_34_34 = e0)
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 2963 yields:
% 265.42/207.27 | (384) ~ (all_0_34_34 = e0)
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (762), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (763) all_0_31_31 = e3
% 265.42/207.27 |
% 265.42/207.27 | Equations (763) can reduce 510 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (510) ~ (all_0_31_31 = e3)
% 265.42/207.27 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (767), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (772) all_0_32_32 = e3
% 265.42/207.27 |
% 265.42/207.27 | Equations (772) can reduce 199 to:
% 265.42/207.27 | (2981) ~ (all_0_34_34 = e3)
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 2981 yields:
% 265.42/207.27 | (1031) ~ (all_0_34_34 = e3)
% 265.42/207.27 |
% 265.42/207.27 | Equations (772) can reduce 424 to:
% 265.42/207.27 | (318) ~ (e3 = e1)
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (937), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (1175) all_0_20_20 = e1
% 265.42/207.27 |
% 265.42/207.27 | Combining equations (1175,736) yields a new equation:
% 265.42/207.27 | (718) e2 = e1
% 265.42/207.27 |
% 265.42/207.27 | Equations (718) can reduce 329 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (1409) ~ (all_0_20_20 = e1)
% 265.42/207.27 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (1656), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (950) all_0_25_25 = e1
% 265.42/207.27 |
% 265.42/207.27 | Combining equations (2438,950) yields a new equation:
% 265.42/207.27 | (933) e3 = e1
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 933 yields:
% 265.42/207.27 | (706) e3 = e1
% 265.42/207.27 |
% 265.42/207.27 | Equations (706) can reduce 318 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (946) ~ (all_0_25_25 = e1)
% 265.42/207.27 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (1676), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (787) all_0_30_30 = e1
% 265.42/207.27 |
% 265.42/207.27 | Combining equations (790,787) yields a new equation:
% 265.42/207.27 | (961) e1 = e0
% 265.42/207.27 |
% 265.42/207.27 | Equations (961) can reduce 37 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (422) ~ (all_0_30_30 = e1)
% 265.42/207.27 | (1196) all_0_35_35 = e1
% 265.42/207.27 |
% 265.42/207.27 | Equations (1196) can reduce 742 to:
% 265.42/207.27 | (1002) ~ (e2 = e1)
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 1002 yields:
% 265.42/207.27 | (329) ~ (e2 = e1)
% 265.42/207.27 |
% 265.42/207.27 | From (1196) and (12876) follows:
% 265.42/207.27 | (12926) op(e1, e3) = e4
% 265.42/207.27 |
% 265.42/207.27 | From (1196) and (12875) follows:
% 265.42/207.27 | (12927) op(e3, e1) = e0
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (12881), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (12932) ~ (op(e1, e3) = e4)
% 265.42/207.27 |
% 265.42/207.27 | Using (12926) and (12932) yields:
% 265.42/207.27 | (821) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (12926) op(e1, e3) = e4
% 265.42/207.27 | (1446) all_0_31_31 = e4
% 265.42/207.27 |
% 265.42/207.27 | Equations (1446) can reduce 188 to:
% 265.42/207.27 | (2206) ~ (all_0_34_34 = e4)
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 2206 yields:
% 265.42/207.27 | (1395) ~ (all_0_34_34 = e4)
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (12883), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (12942) ~ (op(e3, e1) = e0)
% 265.42/207.27 |
% 265.42/207.27 | Using (12927) and (12942) yields:
% 265.42/207.27 | (821) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (12927) op(e3, e1) = e0
% 265.42/207.27 | (851) all_0_23_23 = e0
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (308), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (1175) all_0_20_20 = e1
% 265.42/207.27 |
% 265.42/207.27 | Combining equations (736,1175) yields a new equation:
% 265.42/207.27 | (717) e2 = e1
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 717 yields:
% 265.42/207.27 | (718) e2 = e1
% 265.42/207.27 |
% 265.42/207.27 | Equations (718) can reduce 329 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (1409) ~ (all_0_20_20 = e1)
% 265.42/207.27 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (83), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (723) all_0_34_34 = e4
% 265.42/207.27 |
% 265.42/207.27 | Equations (723) can reduce 1395 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (1395) ~ (all_0_34_34 = e4)
% 265.42/207.27 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (1396), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (1027) all_0_34_34 = e3
% 265.42/207.27 |
% 265.42/207.27 | Equations (1027) can reduce 1031 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (1031) ~ (all_0_34_34 = e3)
% 265.42/207.27 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (1709), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (1110) all_0_34_34 = e2
% 265.42/207.27 |
% 265.42/207.27 | Equations (1110) can reduce 672 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (672) ~ (all_0_34_34 = e2)
% 265.42/207.27 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (1713), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (954) all_0_34_34 = e1
% 265.42/207.27 |
% 265.42/207.27 | Equations (954) can reduce 4 to:
% 265.42/207.27 | (943) ~ (all_0_24_24 = e1)
% 265.42/207.27 |
% 265.42/207.27 | Equations (954) can reduce 1031 to:
% 265.42/207.27 | (429) ~ (e3 = e1)
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 429 yields:
% 265.42/207.27 | (318) ~ (e3 = e1)
% 265.42/207.27 |
% 265.42/207.27 | Equations (954) can reduce 384 to:
% 265.42/207.27 | (37) ~ (e1 = e0)
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (4682), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (526) all_0_21_21 = e1
% 265.42/207.27 |
% 265.42/207.27 | Combining equations (453,526) yields a new equation:
% 265.42/207.27 | (933) e3 = e1
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 933 yields:
% 265.42/207.27 | (706) e3 = e1
% 265.42/207.27 |
% 265.42/207.27 | Equations (706) can reduce 318 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (363) ~ (all_0_21_21 = e1)
% 265.42/207.27 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (4688), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (999) all_0_22_22 = e1
% 265.42/207.27 |
% 265.42/207.27 | Equations (999) can reduce 1018 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (1018) ~ (all_0_22_22 = e1)
% 265.42/207.27 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (5033), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (3952) all_0_23_23 = e1
% 265.42/207.27 |
% 265.42/207.27 | Combining equations (3952,851) yields a new equation:
% 265.42/207.27 | (960) e1 = e0
% 265.42/207.27 |
% 265.42/207.27 | Simplifying 960 yields:
% 265.42/207.27 | (961) e1 = e0
% 265.42/207.27 |
% 265.42/207.27 | Equations (961) can reduce 37 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (420) ~ (all_0_23_23 = e1)
% 265.42/207.27 | (940) all_0_24_24 = e1
% 265.42/207.27 |
% 265.42/207.27 | Equations (940) can reduce 943 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (426) ~ (all_0_34_34 = e1)
% 265.42/207.27 | (1717) all_0_34_34 = e0
% 265.42/207.27 |
% 265.42/207.27 | Equations (1717) can reduce 384 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (1089) ~ (all_0_32_32 = e3)
% 265.42/207.27 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 265.42/207.27 |
% 265.42/207.27 +-Applying beta-rule and splitting (1090), into two cases.
% 265.42/207.27 |-Branch one:
% 265.42/207.27 | (410) all_0_33_33 = e3
% 265.42/207.27 |
% 265.42/207.27 | Combining equations (414,410) yields a new equation:
% 265.42/207.27 | (764) e3 = e2
% 265.42/207.27 |
% 265.42/207.27 | Equations (764) can reduce 56 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (403) ~ (all_0_33_33 = e3)
% 265.42/207.27 | (1027) all_0_34_34 = e3
% 265.42/207.27 |
% 265.42/207.27 | Equations (1027) can reduce 1031 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.27 |-Branch two:
% 265.42/207.27 | (1878) ~ (all_0_30_30 = e0)
% 265.42/207.27 | (1203) all_0_35_35 = e0
% 265.42/207.27 |
% 265.42/207.27 | Equations (1203) can reduce 385 to:
% 265.42/207.27 | (366) $false
% 265.42/207.27 |
% 265.42/207.27 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (1114) ~ (all_0_20_20 = e2)
% 265.42/207.28 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (10030), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (3159) all_0_25_25 = e2
% 265.42/207.28 |
% 265.42/207.28 | Combining equations (2438,3159) yields a new equation:
% 265.42/207.28 | (3874) e3 = e2
% 265.42/207.28 |
% 265.42/207.28 | Simplifying 3874 yields:
% 265.42/207.28 | (764) e3 = e2
% 265.42/207.28 |
% 265.42/207.28 | Equations (764) can reduce 56 to:
% 265.42/207.28 | (366) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (646) ~ (all_0_25_25 = e2)
% 265.42/207.28 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (16274), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (747) all_0_30_30 = e2
% 265.42/207.28 |
% 265.42/207.28 | Equations (747) can reduce 740 to:
% 265.42/207.28 | (366) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (740) ~ (all_0_30_30 = e2)
% 265.42/207.28 | (797) all_0_35_35 = e2
% 265.42/207.28 |
% 265.42/207.28 | Equations (797) can reduce 742 to:
% 265.42/207.28 | (366) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (566) ~ (all_0_25_25 = e3)
% 265.42/207.28 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (2442), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (2443) all_0_26_26 = e3
% 265.42/207.28 |
% 265.42/207.28 | Equations (2443) can reduce 504 to:
% 265.42/207.28 | (366) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (504) ~ (all_0_26_26 = e3)
% 265.42/207.28 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (2448), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (439) all_0_27_27 = e3
% 265.42/207.28 |
% 265.42/207.28 | Combining equations (543,439) yields a new equation:
% 265.42/207.28 | (706) e3 = e1
% 265.42/207.28 |
% 265.42/207.28 | Equations (706) can reduce 318 to:
% 265.42/207.28 | (366) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (400) ~ (all_0_27_27 = e3)
% 265.42/207.28 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (2453), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (896) all_0_28_28 = e3
% 265.42/207.28 |
% 265.42/207.28 | Equations (896) can reduce 300 to:
% 265.42/207.28 | (560) ~ (all_0_18_18 = e3)
% 265.42/207.28 |
% 265.42/207.28 | Equations (896) can reduce 86 to:
% 265.42/207.28 | (982) ~ (all_0_23_23 = e3)
% 265.42/207.28 |
% 265.42/207.28 | Equations (896) can reduce 198 to:
% 265.42/207.28 | (2070) ~ (all_0_38_38 = e3)
% 265.42/207.28 |
% 265.42/207.28 | Simplifying 2070 yields:
% 265.42/207.28 | (1080) ~ (all_0_38_38 = e3)
% 265.42/207.28 |
% 265.42/207.28 | From (896) and (200) follows:
% 265.42/207.28 | (16296) op(all_0_32_32, e3) = e2
% 265.42/207.28 |
% 265.42/207.28 | Instantiating formula (97) with e3, e3, e2, e3 and discharging atoms op(e3, e3) = e3, yields:
% 265.42/207.28 | (6050) e3 = e2 | ~ (op(e3, e3) = e2)
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (358), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (1165) all_0_38_38 = e4
% 265.42/207.28 |
% 265.42/207.28 | Equations (1165) can reduce 39 to:
% 265.42/207.28 | (578) ~ (all_0_23_23 = e4)
% 265.42/207.28 |
% 265.42/207.28 | Equations (1165) can reduce 93 to:
% 265.42/207.28 | (586) ~ (all_0_36_36 = e4)
% 265.42/207.28 |
% 265.42/207.28 | Equations (1165) can reduce 1080 to:
% 265.42/207.28 | (277) ~ (e4 = e3)
% 265.42/207.28 |
% 265.42/207.28 | From (1165) and (181) follows:
% 265.42/207.28 | (3335) op(all_0_34_34, e4) = e0
% 265.42/207.28 |
% 265.42/207.28 | From (1165) and (312) follows:
% 265.42/207.28 | (13299) op(e4, all_0_34_34) = e1
% 265.42/207.28 |
% 265.42/207.28 | Instantiating formula (97) with e1, e4, e0, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 265.42/207.28 | (4342) all_0_30_30 = e0 | ~ (op(e1, e4) = e0)
% 265.42/207.28 |
% 265.42/207.28 | Instantiating formula (97) with e4, e4, e1, e4 and discharging atoms op(e4, e4) = e4, yields:
% 265.42/207.28 | (16305) e4 = e1 | ~ (op(e4, e4) = e1)
% 265.42/207.28 |
% 265.42/207.28 | Instantiating formula (97) with e4, e1, e1, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 265.42/207.28 | (16306) all_0_18_18 = e1 | ~ (op(e4, e1) = e1)
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (83), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (723) all_0_34_34 = e4
% 265.42/207.28 |
% 265.42/207.28 | From (723) and (13299) follows:
% 265.42/207.28 | (5450) op(e4, e4) = e1
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (16305), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (16309) ~ (op(e4, e4) = e1)
% 265.42/207.28 |
% 265.42/207.28 | Using (5450) and (16309) yields:
% 265.42/207.28 | (821) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (5450) op(e4, e4) = e1
% 265.42/207.28 | (480) e4 = e1
% 265.42/207.28 |
% 265.42/207.28 | Equations (480) can reduce 65 to:
% 265.42/207.28 | (366) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (1395) ~ (all_0_34_34 = e4)
% 265.42/207.28 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (1396), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (1027) all_0_34_34 = e3
% 265.42/207.28 |
% 265.42/207.28 | Equations (1027) can reduce 1031 to:
% 265.42/207.28 | (366) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (1031) ~ (all_0_34_34 = e3)
% 265.42/207.28 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (1709), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (1110) all_0_34_34 = e2
% 265.42/207.28 |
% 265.42/207.28 | Equations (1110) can reduce 672 to:
% 265.42/207.28 | (366) $false
% 265.42/207.28 |
% 265.42/207.28 |-The branch is then unsatisfiable
% 265.42/207.28 |-Branch two:
% 265.42/207.28 | (672) ~ (all_0_34_34 = e2)
% 265.42/207.28 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 265.42/207.28 |
% 265.42/207.28 +-Applying beta-rule and splitting (1713), into two cases.
% 265.42/207.28 |-Branch one:
% 265.42/207.28 | (954) all_0_34_34 = e1
% 265.42/207.28 |
% 265.42/207.28 | Equations (954) can reduce 188 to:
% 265.42/207.28 | (423) ~ (all_0_31_31 = e1)
% 265.42/207.28 |
% 265.42/207.28 | Equations (954) can reduce 199 to:
% 265.42/207.28 | (424) ~ (all_0_32_32 = e1)
% 265.42/207.28 |
% 265.42/207.28 | Equations (954) can reduce 384 to:
% 265.42/207.28 | (37) ~ (e1 = e0)
% 265.42/207.28 |
% 265.42/207.28 | From (954) and (3335) follows:
% 265.42/207.28 | (4831) op(e1, e4) = e0
% 265.42/207.28 |
% 265.42/207.28 | From (954) and (13299) follows:
% 265.42/207.28 | (16329) op(e4, e1) = e1
% 265.42/207.28 |
% 265.42/207.29 +-Applying beta-rule and splitting (16306), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (16330) ~ (op(e4, e1) = e1)
% 265.42/207.29 |
% 265.42/207.29 | Using (16329) and (16330) yields:
% 265.42/207.29 | (821) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (16329) op(e4, e1) = e1
% 265.42/207.29 | (1278) all_0_18_18 = e1
% 265.42/207.29 |
% 265.42/207.29 | Equations (1278) can reduce 9 to:
% 265.42/207.29 | (985) ~ (all_0_16_16 = e1)
% 265.42/207.29 |
% 265.42/207.29 | Equations (1278) can reduce 110 to:
% 265.42/207.29 | (3684) ~ (all_0_23_23 = e1)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 3684 yields:
% 265.42/207.29 | (420) ~ (all_0_23_23 = e1)
% 265.42/207.29 |
% 265.42/207.29 | Equations (1278) can reduce 560 to:
% 265.42/207.29 | (429) ~ (e3 = e1)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 429 yields:
% 265.42/207.29 | (318) ~ (e3 = e1)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (185), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1153) all_0_18_18 = e0
% 265.42/207.29 |
% 265.42/207.29 | Combining equations (1153,1278) yields a new equation:
% 265.42/207.29 | (961) e1 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (961) can reduce 37 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (1156) ~ (all_0_18_18 = e0)
% 265.42/207.29 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (1157), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (851) all_0_23_23 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (851) can reduce 982 to:
% 265.42/207.29 | (391) ~ (e3 = e0)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 391 yields:
% 265.42/207.29 | (88) ~ (e3 = e0)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (4342), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (4891) ~ (op(e1, e4) = e0)
% 265.42/207.29 |
% 265.42/207.29 | Using (4831) and (4891) yields:
% 265.42/207.29 | (821) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (4831) op(e1, e4) = e0
% 265.42/207.29 | (790) all_0_30_30 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (790) can reduce 58 to:
% 265.42/207.29 | (1925) ~ (all_0_25_25 = e0)
% 265.42/207.29 |
% 265.42/207.29 | Equations (790) can reduce 186 to:
% 265.42/207.29 | (2961) ~ (all_0_32_32 = e0)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 2961 yields:
% 265.42/207.29 | (1946) ~ (all_0_32_32 = e0)
% 265.42/207.29 |
% 265.42/207.29 | Equations (790) can reduce 509 to:
% 265.42/207.29 | (389) ~ (e4 = e0)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 389 yields:
% 265.42/207.29 | (287) ~ (e4 = e0)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (115), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1446) all_0_31_31 = e4
% 265.42/207.29 |
% 265.42/207.29 | Equations (1446) can reduce 247 to:
% 265.42/207.29 | (1495) ~ (all_0_32_32 = e4)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 1495 yields:
% 265.42/207.29 | (727) ~ (all_0_32_32 = e4)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (261), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1229) all_0_32_32 = e4
% 265.42/207.29 |
% 265.42/207.29 | Equations (1229) can reduce 727 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (727) ~ (all_0_32_32 = e4)
% 265.42/207.29 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (1506), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (772) all_0_32_32 = e3
% 265.42/207.29 |
% 265.42/207.29 | Equations (772) can reduce 508 to:
% 265.42/207.29 | (56) ~ (e3 = e2)
% 265.42/207.29 |
% 265.42/207.29 | From (772) and (16296) follows:
% 265.42/207.29 | (6120) op(e3, e3) = e2
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (6050), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (6121) ~ (op(e3, e3) = e2)
% 265.42/207.29 |
% 265.42/207.29 | Using (6120) and (6121) yields:
% 265.42/207.29 | (821) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (6120) op(e3, e3) = e2
% 265.42/207.29 | (764) e3 = e2
% 265.42/207.29 |
% 265.42/207.29 | Equations (764) can reduce 56 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (1089) ~ (all_0_32_32 = e3)
% 265.42/207.29 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (1618), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1101) all_0_32_32 = e2
% 265.42/207.29 |
% 265.42/207.29 | Equations (1101) can reduce 508 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (508) ~ (all_0_32_32 = e2)
% 265.42/207.29 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (1622), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1587) all_0_32_32 = e1
% 265.42/207.29 |
% 265.42/207.29 | Equations (1587) can reduce 424 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (424) ~ (all_0_32_32 = e1)
% 265.42/207.29 | (1626) all_0_32_32 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (1626) can reduce 1946 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (584) ~ (all_0_31_31 = e4)
% 265.42/207.29 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (163), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (701) all_0_16_16 = e4
% 265.42/207.29 |
% 265.42/207.29 | Equations (701) can reduce 573 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (573) ~ (all_0_16_16 = e4)
% 265.42/207.29 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (1631), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (763) all_0_31_31 = e3
% 265.42/207.29 |
% 265.42/207.29 | Equations (763) can reduce 510 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (510) ~ (all_0_31_31 = e3)
% 265.42/207.29 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (6243), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (449) all_0_21_21 = e4
% 265.42/207.29 |
% 265.42/207.29 | Combining equations (449,453) yields a new equation:
% 265.42/207.29 | (690) e4 = e3
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 690 yields:
% 265.42/207.29 | (691) e4 = e3
% 265.42/207.29 |
% 265.42/207.29 | Equations (691) can reduce 277 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (448) ~ (all_0_21_21 = e4)
% 265.42/207.29 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (6248), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1237) all_0_26_26 = e4
% 265.42/207.29 |
% 265.42/207.29 | Equations (1237) can reduce 1008 to:
% 265.42/207.29 | (65) ~ (e4 = e1)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (327), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (768) all_0_30_30 = e4
% 265.42/207.29 |
% 265.42/207.29 | Combining equations (790,768) yields a new equation:
% 265.42/207.29 | (490) e4 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (490) can reduce 287 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (509) ~ (all_0_30_30 = e4)
% 265.42/207.29 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.42/207.29 |
% 265.42/207.29 | Equations (790) can reduce 509 to:
% 265.42/207.29 | (389) ~ (e4 = e0)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 389 yields:
% 265.42/207.29 | (287) ~ (e4 = e0)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (241), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1921) all_0_25_25 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (1921) can reduce 1925 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (1925) ~ (all_0_25_25 = e0)
% 265.42/207.29 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (228), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (921) all_0_16_16 = e1
% 265.42/207.29 |
% 265.42/207.29 | Equations (921) can reduce 985 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (985) ~ (all_0_16_16 = e1)
% 265.42/207.29 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (986), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (526) all_0_21_21 = e1
% 265.42/207.29 |
% 265.42/207.29 | Combining equations (526,453) yields a new equation:
% 265.42/207.29 | (706) e3 = e1
% 265.42/207.29 |
% 265.42/207.29 | Equations (706) can reduce 318 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (363) ~ (all_0_21_21 = e1)
% 265.42/207.29 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (155), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (759) all_0_30_30 = e3
% 265.42/207.29 |
% 265.42/207.29 | Combining equations (790,759) yields a new equation:
% 265.42/207.29 | (980) e3 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (980) can reduce 88 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (568) ~ (all_0_30_30 = e3)
% 265.42/207.29 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 265.42/207.29 |
% 265.42/207.29 | Equations (790) can reduce 568 to:
% 265.42/207.29 | (391) ~ (e3 = e0)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 391 yields:
% 265.42/207.29 | (88) ~ (e3 = e0)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (998), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1005) all_0_26_26 = e1
% 265.42/207.29 |
% 265.42/207.29 | Combining equations (1237,1005) yields a new equation:
% 265.42/207.29 | (955) e4 = e1
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 955 yields:
% 265.42/207.29 | (480) e4 = e1
% 265.42/207.29 |
% 265.42/207.29 | Equations (480) can reduce 65 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (1008) ~ (all_0_26_26 = e1)
% 265.42/207.29 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (1009), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1010) all_0_31_31 = e1
% 265.42/207.29 |
% 265.42/207.29 | Equations (1010) can reduce 423 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (423) ~ (all_0_31_31 = e1)
% 265.42/207.29 | (1015) all_0_36_36 = e1
% 265.42/207.29 |
% 265.42/207.29 | Equations (1015) can reduce 7 to:
% 265.42/207.29 | (423) ~ (all_0_31_31 = e1)
% 265.42/207.29 |
% 265.42/207.29 | Equations (1015) can reduce 386 to:
% 265.42/207.29 | (37) ~ (e1 = e0)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (279), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (873) all_0_16_16 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (873) can reduce 10 to:
% 265.42/207.29 | (1856) ~ (all_0_31_31 = e0)
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 1856 yields:
% 265.42/207.29 | (1064) ~ (all_0_31_31 = e0)
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (1635), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (751) all_0_31_31 = e2
% 265.42/207.29 |
% 265.42/207.29 | Equations (751) can reduce 1099 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (1099) ~ (all_0_31_31 = e2)
% 265.42/207.29 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (1639), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (1010) all_0_31_31 = e1
% 265.42/207.29 |
% 265.42/207.29 | Equations (1010) can reduce 423 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (423) ~ (all_0_31_31 = e1)
% 265.42/207.29 | (1060) all_0_31_31 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (1060) can reduce 1064 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (824) ~ (all_0_16_16 = e0)
% 265.42/207.29 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.42/207.29 |
% 265.42/207.29 +-Applying beta-rule and splitting (334), into two cases.
% 265.42/207.29 |-Branch one:
% 265.42/207.29 | (483) all_0_15_15 = e0
% 265.42/207.29 |
% 265.42/207.29 | Combining equations (464,483) yields a new equation:
% 265.42/207.29 | (842) e4 = e0
% 265.42/207.29 |
% 265.42/207.29 | Simplifying 842 yields:
% 265.42/207.29 | (490) e4 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (490) can reduce 287 to:
% 265.42/207.29 | (366) $false
% 265.42/207.29 |
% 265.42/207.29 |-The branch is then unsatisfiable
% 265.42/207.29 |-Branch two:
% 265.42/207.29 | (463) ~ (all_0_15_15 = e0)
% 265.42/207.29 | (2584) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 265.42/207.29 |
% 265.42/207.29 | Equations (464) can reduce 463 to:
% 265.42/207.29 | (287) ~ (e4 = e0)
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (876), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (529) all_0_21_21 = e0
% 265.42/207.30 |
% 265.42/207.30 | Combining equations (453,529) yields a new equation:
% 265.42/207.30 | (979) e3 = e0
% 265.42/207.30 |
% 265.42/207.30 | Simplifying 979 yields:
% 265.42/207.30 | (980) e3 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (980) can reduce 88 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (398) ~ (all_0_21_21 = e0)
% 265.42/207.30 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (453) can reduce 398 to:
% 265.42/207.30 | (88) ~ (e3 = e0)
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (1926), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (883) all_0_26_26 = e0
% 265.42/207.30 |
% 265.42/207.30 | Combining equations (1237,883) yields a new equation:
% 265.42/207.30 | (842) e4 = e0
% 265.42/207.30 |
% 265.42/207.30 | Simplifying 842 yields:
% 265.42/207.30 | (490) e4 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (490) can reduce 287 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (1058) ~ (all_0_26_26 = e0)
% 265.42/207.30 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (2527), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (546) all_0_27_27 = e0
% 265.42/207.30 |
% 265.42/207.30 | Combining equations (543,546) yields a new equation:
% 265.42/207.30 | (960) e1 = e0
% 265.42/207.30 |
% 265.42/207.30 | Simplifying 960 yields:
% 265.42/207.30 | (961) e1 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (961) can reduce 37 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (434) ~ (all_0_27_27 = e0)
% 265.42/207.30 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (2533), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (1044) all_0_28_28 = e0
% 265.42/207.30 |
% 265.42/207.30 | Combining equations (896,1044) yields a new equation:
% 265.42/207.30 | (979) e3 = e0
% 265.42/207.30 |
% 265.42/207.30 | Simplifying 979 yields:
% 265.42/207.30 | (980) e3 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (980) can reduce 88 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (886) ~ (all_0_28_28 = e0)
% 265.42/207.30 | (2537) all_0_29_29 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (2537) can reduce 383 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (582) ~ (all_0_26_26 = e4)
% 265.42/207.30 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (6263), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (1446) all_0_31_31 = e4
% 265.42/207.30 |
% 265.42/207.30 | Equations (1446) can reduce 584 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (584) ~ (all_0_31_31 = e4)
% 265.42/207.30 | (2611) all_0_36_36 = e4
% 265.42/207.30 |
% 265.42/207.30 | Equations (2611) can reduce 586 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (1068) ~ (all_0_23_23 = e0)
% 265.42/207.30 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (137), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (1515) all_0_23_23 = e4
% 265.42/207.30 |
% 265.42/207.30 | Equations (1515) can reduce 578 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (578) ~ (all_0_23_23 = e4)
% 265.42/207.30 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (3943), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (978) all_0_23_23 = e3
% 265.42/207.30 |
% 265.42/207.30 | Equations (978) can reduce 982 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (982) ~ (all_0_23_23 = e3)
% 265.42/207.30 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (3947), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (1126) all_0_23_23 = e2
% 265.42/207.30 |
% 265.42/207.30 | Equations (1126) can reduce 810 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (810) ~ (all_0_23_23 = e2)
% 265.42/207.30 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (3951), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (3952) all_0_23_23 = e1
% 265.42/207.30 |
% 265.42/207.30 | Equations (3952) can reduce 420 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (420) ~ (all_0_23_23 = e1)
% 265.42/207.30 | (851) all_0_23_23 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (851) can reduce 1068 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (426) ~ (all_0_34_34 = e1)
% 265.42/207.30 | (1717) all_0_34_34 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (1717) can reduce 384 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (1143) ~ (all_0_38_38 = e4)
% 265.42/207.30 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (1168), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (1077) all_0_38_38 = e3
% 265.42/207.30 |
% 265.42/207.30 | Equations (1077) can reduce 1080 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (1080) ~ (all_0_38_38 = e3)
% 265.42/207.30 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (1206), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (809) all_0_38_38 = e2
% 265.42/207.30 |
% 265.42/207.30 | Equations (809) can reduce 1084 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (1084) ~ (all_0_38_38 = e2)
% 265.42/207.30 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (1210), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (1211) all_0_38_38 = e1
% 265.42/207.30 |
% 265.42/207.30 | Equations (1211) can reduce 173 to:
% 265.42/207.30 | (1177) ~ (all_0_35_35 = e1)
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (1181), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (814) all_0_35_35 = e3
% 265.42/207.30 |
% 265.42/207.30 | Equations (814) can reduce 385 to:
% 265.42/207.30 | (88) ~ (e3 = e0)
% 265.42/207.30 |
% 265.42/207.30 | From (814) and (12875) follows:
% 265.42/207.30 | (10049) op(e3, e3) = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (10001), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (10062) ~ (op(e3, e3) = e0)
% 265.42/207.30 |
% 265.42/207.30 | Using (10049) and (10062) yields:
% 265.42/207.30 | (821) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (10049) op(e3, e3) = e0
% 265.42/207.30 | (980) e3 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (980) can reduce 88 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (570) ~ (all_0_35_35 = e3)
% 265.42/207.30 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (1185), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (797) all_0_35_35 = e2
% 265.42/207.30 |
% 265.42/207.30 | Equations (797) can reduce 742 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (742) ~ (all_0_35_35 = e2)
% 265.42/207.30 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (1195), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (1196) all_0_35_35 = e1
% 265.42/207.30 |
% 265.42/207.30 | Equations (1196) can reduce 1177 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (1177) ~ (all_0_35_35 = e1)
% 265.42/207.30 | (1203) all_0_35_35 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (1203) can reduce 385 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (428) ~ (all_0_38_38 = e1)
% 265.42/207.30 | (1214) all_0_38_38 = e0
% 265.42/207.30 |
% 265.42/207.30 | Equations (1214) can reduce 388 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (1035) ~ (all_0_28_28 = e3)
% 265.42/207.30 | (1023) all_0_29_29 = e3
% 265.42/207.30 |
% 265.42/207.30 | Equations (1023) can reduce 898 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (562) ~ (all_0_19_19 = e3)
% 265.42/207.30 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (72), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (468) all_0_15_15 = e3
% 265.42/207.30 |
% 265.42/207.30 | Combining equations (468,464) yields a new equation:
% 265.42/207.30 | (691) e4 = e3
% 265.42/207.30 |
% 265.42/207.30 | Equations (691) can reduce 277 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (433) ~ (all_0_15_15 = e3)
% 265.42/207.30 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 265.42/207.30 |
% 265.42/207.30 | Equations (464) can reduce 433 to:
% 265.42/207.30 | (277) ~ (e4 = e3)
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (225), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (711) all_0_19_19 = e4
% 265.42/207.30 |
% 265.42/207.30 | Equations (711) can reduce 714 to:
% 265.42/207.30 | (366) $false
% 265.42/207.30 |
% 265.42/207.30 |-The branch is then unsatisfiable
% 265.42/207.30 |-Branch two:
% 265.42/207.30 | (714) ~ (all_0_19_19 = e4)
% 265.42/207.30 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 265.42/207.30 |
% 265.42/207.30 +-Applying beta-rule and splitting (164), into two cases.
% 265.42/207.30 |-Branch one:
% 265.42/207.30 | (814) all_0_35_35 = e3
% 265.42/207.30 |
% 265.42/207.30 | Equations (814) can reduce 249 to:
% 265.42/207.30 | (564) ~ (all_0_20_20 = e3)
% 265.42/207.30 |
% 265.42/207.30 | Equations (814) can reduce 98 to:
% 265.42/207.30 | (566) ~ (all_0_25_25 = e3)
% 265.42/207.30 |
% 265.42/207.30 | Equations (814) can reduce 273 to:
% 265.42/207.30 | (4164) ~ (all_0_36_36 = e3)
% 265.42/207.30 |
% 265.42/207.30 | Simplifying 4164 yields:
% 265.42/207.30 | (516) ~ (all_0_36_36 = e3)
% 265.42/207.30 |
% 265.42/207.30 | Equations (814) can reduce 121 to:
% 265.42/207.30 | (776) ~ (all_0_37_37 = e3)
% 265.42/207.30 |
% 265.42/207.30 | Simplifying 776 yields:
% 265.42/207.31 | (777) ~ (all_0_37_37 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Equations (814) can reduce 173 to:
% 265.42/207.31 | (2070) ~ (all_0_38_38 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Simplifying 2070 yields:
% 265.42/207.31 | (1080) ~ (all_0_38_38 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Equations (814) can reduce 742 to:
% 265.42/207.31 | (56) ~ (e3 = e2)
% 265.42/207.31 |
% 265.42/207.31 | Equations (814) can reduce 385 to:
% 265.42/207.31 | (88) ~ (e3 = e0)
% 265.42/207.31 |
% 265.42/207.31 | From (814) and (332) follows:
% 265.42/207.31 | (16575) op(all_0_19_19, e3) = e0
% 265.42/207.31 |
% 265.42/207.31 | From (814) and (24) follows:
% 265.42/207.31 | (16576) op(e3, all_0_19_19) = e4
% 265.42/207.31 |
% 265.42/207.31 | Instantiating formula (97) with e2, e3, e0, all_0_26_26 and discharging atoms op(e2, e3) = all_0_26_26, yields:
% 265.42/207.31 | (5075) all_0_26_26 = e0 | ~ (op(e2, e3) = e0)
% 265.42/207.31 |
% 265.42/207.31 | Instantiating formula (97) with e1, e3, e0, all_0_31_31 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 265.42/207.31 | (13916) all_0_31_31 = e0 | ~ (op(e1, e3) = e0)
% 265.42/207.31 |
% 265.42/207.31 | Instantiating formula (97) with e3, e2, e4, all_0_22_22 and discharging atoms op(e3, e2) = all_0_22_22, yields:
% 265.42/207.31 | (5649) all_0_22_22 = e4 | ~ (op(e3, e2) = e4)
% 265.42/207.31 |
% 265.42/207.31 | Instantiating formula (97) with e3, e1, e4, all_0_23_23 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 265.42/207.31 | (13914) all_0_23_23 = e4 | ~ (op(e3, e1) = e4)
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (16), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (1196) all_0_35_35 = e1
% 265.42/207.31 |
% 265.42/207.31 | Combining equations (814,1196) yields a new equation:
% 265.42/207.31 | (933) e3 = e1
% 265.42/207.31 |
% 265.42/207.31 | Simplifying 933 yields:
% 265.42/207.31 | (706) e3 = e1
% 265.42/207.31 |
% 265.42/207.31 | Equations (706) can reduce 318 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (1177) ~ (all_0_35_35 = e1)
% 265.42/207.31 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 265.42/207.31 |
% 265.42/207.31 | Equations (814) can reduce 1177 to:
% 265.42/207.31 | (318) ~ (e3 = e1)
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (168), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (2438) all_0_25_25 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (2438) can reduce 566 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (566) ~ (all_0_25_25 = e3)
% 265.42/207.31 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (269), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (1134) all_0_18_18 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (1134) can reduce 74 to:
% 265.42/207.31 | (558) ~ (all_0_17_17 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Equations (1134) can reduce 300 to:
% 265.42/207.31 | (7575) ~ (all_0_28_28 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Simplifying 7575 yields:
% 265.42/207.31 | (1035) ~ (all_0_28_28 = e3)
% 265.42/207.31 |
% 265.42/207.31 | From (1134) and (238) follows:
% 265.42/207.31 | (14383) op(e3, all_0_30_30) = e1
% 265.42/207.31 |
% 265.42/207.31 | From (1134) and (290) follows:
% 265.42/207.31 | (16597) op(all_0_30_30, e3) = e4
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (232), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (1970) all_0_17_17 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (1970) can reduce 558 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (558) ~ (all_0_17_17 = e3)
% 265.42/207.31 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (2442), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (2443) all_0_26_26 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (2443) can reduce 504 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (504) ~ (all_0_26_26 = e3)
% 265.42/207.31 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (1973), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (857) all_0_22_22 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (857) can reduce 774 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (774) ~ (all_0_22_22 = e3)
% 265.42/207.31 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (3115), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (439) all_0_27_27 = e3
% 265.42/207.31 |
% 265.42/207.31 | Combining equations (543,439) yields a new equation:
% 265.42/207.31 | (706) e3 = e1
% 265.42/207.31 |
% 265.42/207.31 | Equations (706) can reduce 318 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (400) ~ (all_0_27_27 = e3)
% 265.42/207.31 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (543) can reduce 400 to:
% 265.42/207.31 | (429) ~ (e3 = e1)
% 265.42/207.31 |
% 265.42/207.31 | Simplifying 429 yields:
% 265.42/207.31 | (318) ~ (e3 = e1)
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (2448), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (439) all_0_27_27 = e3
% 265.42/207.31 |
% 265.42/207.31 | Combining equations (543,439) yields a new equation:
% 265.42/207.31 | (706) e3 = e1
% 265.42/207.31 |
% 265.42/207.31 | Equations (706) can reduce 318 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (400) ~ (all_0_27_27 = e3)
% 265.42/207.31 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (3120), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (772) all_0_32_32 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (772) can reduce 286 to:
% 265.42/207.31 | (558) ~ (all_0_17_17 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Equations (772) can reduce 186 to:
% 265.42/207.31 | (568) ~ (all_0_30_30 = e3)
% 265.42/207.31 |
% 265.42/207.31 | From (772) and (200) follows:
% 265.42/207.31 | (16625) op(e3, all_0_28_28) = e2
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (2453), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (896) all_0_28_28 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (896) can reduce 1035 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (1035) ~ (all_0_28_28 = e3)
% 265.42/207.31 | (1023) all_0_29_29 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (1023) can reduce 229 to:
% 265.42/207.31 | (562) ~ (all_0_19_19 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Equations (1023) can reduce 38 to:
% 265.42/207.31 | (504) ~ (all_0_26_26 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Equations (1023) can reduce 73 to:
% 265.42/207.31 | (1035) ~ (all_0_28_28 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Equations (1023) can reduce 41 to:
% 265.42/207.31 | (2981) ~ (all_0_34_34 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Simplifying 2981 yields:
% 265.42/207.31 | (1031) ~ (all_0_34_34 = e3)
% 265.42/207.31 |
% 265.42/207.31 | Equations (1023) can reduce 952 to:
% 265.42/207.31 | (318) ~ (e3 = e1)
% 265.42/207.31 |
% 265.42/207.31 | Instantiating formula (97) with all_0_30_30, e3, e4, e0 and discharging atoms op(all_0_30_30, e3) = e4, yields:
% 265.42/207.31 | (16636) e4 = e0 | ~ (op(all_0_30_30, e3) = e0)
% 265.42/207.31 |
% 265.42/207.31 | Instantiating formula (97) with e3, e4, e2, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 265.42/207.31 | (2860) all_0_20_20 = e2 | ~ (op(e3, e4) = e2)
% 265.42/207.31 |
% 265.42/207.31 | Instantiating formula (97) with e3, e0, e1, all_0_24_24 and discharging atoms op(e3, e0) = all_0_24_24, yields:
% 265.42/207.31 | (13292) all_0_24_24 = e1 | ~ (op(e3, e0) = e1)
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (192), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (663) all_0_19_19 = e2
% 265.42/207.31 |
% 265.42/207.31 | Equations (663) can reduce 333 to:
% 265.42/207.31 | (459) ~ (all_0_17_17 = e2)
% 265.42/207.31 |
% 265.42/207.31 | From (663) and (16575) follows:
% 265.42/207.31 | (5161) op(e2, e3) = e0
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (240), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (865) all_0_17_17 = e4
% 265.42/207.31 |
% 265.42/207.31 | Equations (865) can reduce 869 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (869) ~ (all_0_17_17 = e4)
% 265.42/207.31 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (1961), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (1970) all_0_17_17 = e3
% 265.42/207.31 |
% 265.42/207.31 | Equations (1970) can reduce 558 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (558) ~ (all_0_17_17 = e3)
% 265.42/207.31 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (1979), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (1980) all_0_17_17 = e2
% 265.42/207.31 |
% 265.42/207.31 | Equations (1980) can reduce 459 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (459) ~ (all_0_17_17 = e2)
% 265.42/207.31 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (1983), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (1498) all_0_17_17 = e1
% 265.42/207.31 |
% 265.42/207.31 | Equations (1498) can reduce 1501 to:
% 265.42/207.31 | (366) $false
% 265.42/207.31 |
% 265.42/207.31 |-The branch is then unsatisfiable
% 265.42/207.31 |-Branch two:
% 265.42/207.31 | (1501) ~ (all_0_17_17 = e1)
% 265.42/207.31 | (823) all_0_17_17 = e0
% 265.42/207.31 |
% 265.42/207.31 | Equations (823) can reduce 459 to:
% 265.42/207.31 | (393) ~ (e2 = e0)
% 265.42/207.31 |
% 265.42/207.31 | Simplifying 393 yields:
% 265.42/207.31 | (347) ~ (e2 = e0)
% 265.42/207.31 |
% 265.42/207.31 +-Applying beta-rule and splitting (5075), into two cases.
% 265.42/207.31 |-Branch one:
% 265.42/207.31 | (5162) ~ (op(e2, e3) = e0)
% 265.42/207.31 |
% 265.42/207.31 | Using (5161) and (5162) yields:
% 265.42/207.32 | (821) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (5161) op(e2, e3) = e0
% 265.42/207.32 | (883) all_0_26_26 = e0
% 265.42/207.32 |
% 265.42/207.32 | Equations (883) can reduce 46 to:
% 265.42/207.32 | (885) ~ (all_0_28_28 = e0)
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 885 yields:
% 265.42/207.32 | (886) ~ (all_0_28_28 = e0)
% 265.42/207.32 |
% 265.42/207.32 | Equations (883) can reduce 145 to:
% 265.42/207.32 | (1856) ~ (all_0_31_31 = e0)
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 1856 yields:
% 265.42/207.32 | (1064) ~ (all_0_31_31 = e0)
% 265.42/207.32 |
% 265.42/207.32 | Equations (883) can reduce 504 to:
% 265.42/207.32 | (391) ~ (e3 = e0)
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 391 yields:
% 265.42/207.32 | (88) ~ (e3 = e0)
% 265.42/207.32 |
% 265.42/207.32 | Equations (883) can reduce 1008 to:
% 265.42/207.32 | (395) ~ (e1 = e0)
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 395 yields:
% 265.42/207.32 | (37) ~ (e1 = e0)
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (127), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (790) all_0_30_30 = e0
% 265.42/207.32 |
% 265.42/207.32 | From (790) and (14383) follows:
% 265.42/207.32 | (13829) op(e3, e0) = e1
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (937), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (1175) all_0_20_20 = e1
% 265.42/207.32 |
% 265.42/207.32 | Equations (1175) can reduce 167 to:
% 265.42/207.32 | (1964) ~ (all_0_24_24 = e1)
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 1964 yields:
% 265.42/207.32 | (943) ~ (all_0_24_24 = e1)
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (13292), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (13830) ~ (op(e3, e0) = e1)
% 265.42/207.32 |
% 265.42/207.32 | Using (13829) and (13830) yields:
% 265.42/207.32 | (821) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (13829) op(e3, e0) = e1
% 265.42/207.32 | (940) all_0_24_24 = e1
% 265.42/207.32 |
% 265.42/207.32 | Equations (940) can reduce 943 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (1409) ~ (all_0_20_20 = e1)
% 265.42/207.32 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (1656), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (950) all_0_25_25 = e1
% 265.42/207.32 |
% 265.42/207.32 | Equations (950) can reduce 946 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (946) ~ (all_0_25_25 = e1)
% 265.42/207.32 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (1676), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (787) all_0_30_30 = e1
% 265.42/207.32 |
% 265.42/207.32 | Combining equations (790,787) yields a new equation:
% 265.42/207.32 | (961) e1 = e0
% 265.42/207.32 |
% 265.42/207.32 | Equations (961) can reduce 37 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (422) ~ (all_0_30_30 = e1)
% 265.42/207.32 | (1196) all_0_35_35 = e1
% 265.42/207.32 |
% 265.42/207.32 | Combining equations (814,1196) yields a new equation:
% 265.42/207.32 | (933) e3 = e1
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 933 yields:
% 265.42/207.32 | (706) e3 = e1
% 265.42/207.32 |
% 265.42/207.32 | Equations (706) can reduce 318 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (1878) ~ (all_0_30_30 = e0)
% 265.42/207.32 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (338), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (892) all_0_28_28 = e4
% 265.42/207.32 |
% 265.42/207.32 | From (892) and (16625) follows:
% 265.42/207.32 | (2984) op(e3, e4) = e2
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (23), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (3159) all_0_25_25 = e2
% 265.42/207.32 |
% 265.42/207.32 | Equations (3159) can reduce 95 to:
% 265.42/207.32 | (1114) ~ (all_0_20_20 = e2)
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (51), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (736) all_0_20_20 = e2
% 265.42/207.32 |
% 265.42/207.32 | Equations (736) can reduce 1114 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (1114) ~ (all_0_20_20 = e2)
% 265.42/207.32 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (2860), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (2993) ~ (op(e3, e4) = e2)
% 265.42/207.32 |
% 265.42/207.32 | Using (2984) and (2993) yields:
% 265.42/207.32 | (821) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (2984) op(e3, e4) = e2
% 265.42/207.32 | (736) all_0_20_20 = e2
% 265.42/207.32 |
% 265.42/207.32 | Equations (736) can reduce 1114 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (646) ~ (all_0_25_25 = e2)
% 265.42/207.32 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (185), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (1153) all_0_18_18 = e0
% 265.42/207.32 |
% 265.42/207.32 | Combining equations (1134,1153) yields a new equation:
% 265.42/207.32 | (979) e3 = e0
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 979 yields:
% 265.42/207.32 | (980) e3 = e0
% 265.42/207.32 |
% 265.42/207.32 | Equations (980) can reduce 88 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (1156) ~ (all_0_18_18 = e0)
% 265.42/207.32 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 265.42/207.32 |
% 265.42/207.32 | Equations (1134) can reduce 1156 to:
% 265.42/207.32 | (88) ~ (e3 = e0)
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (13669), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (2380) all_0_26_26 = e2
% 265.42/207.32 |
% 265.42/207.32 | Combining equations (883,2380) yields a new equation:
% 265.42/207.32 | (551) e2 = e0
% 265.42/207.32 |
% 265.42/207.32 | Equations (551) can reduce 347 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (647) ~ (all_0_26_26 = e2)
% 265.42/207.32 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 265.42/207.32 |
% 265.42/207.32 | Equations (883) can reduce 647 to:
% 265.42/207.32 | (393) ~ (e2 = e0)
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 393 yields:
% 265.42/207.32 | (347) ~ (e2 = e0)
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (1879), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (1060) all_0_31_31 = e0
% 265.42/207.32 |
% 265.42/207.32 | Equations (1060) can reduce 1064 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (1064) ~ (all_0_31_31 = e0)
% 265.42/207.32 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.42/207.32 |
% 265.42/207.32 +-Applying beta-rule and splitting (1883), into two cases.
% 265.42/207.32 |-Branch one:
% 265.42/207.32 | (1626) all_0_32_32 = e0
% 265.42/207.32 |
% 265.42/207.32 | Combining equations (772,1626) yields a new equation:
% 265.42/207.32 | (979) e3 = e0
% 265.42/207.32 |
% 265.42/207.32 | Simplifying 979 yields:
% 265.42/207.32 | (980) e3 = e0
% 265.42/207.32 |
% 265.42/207.32 | Equations (980) can reduce 88 to:
% 265.42/207.32 | (366) $false
% 265.42/207.32 |
% 265.42/207.32 |-The branch is then unsatisfiable
% 265.42/207.32 |-Branch two:
% 265.42/207.32 | (1946) ~ (all_0_32_32 = e0)
% 265.42/207.32 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 265.71/207.32 |
% 265.71/207.32 +-Applying beta-rule and splitting (1947), into two cases.
% 265.71/207.32 |-Branch one:
% 265.71/207.32 | (1254) all_0_33_33 = e0
% 265.71/207.32 |
% 265.71/207.32 | Combining equations (414,1254) yields a new equation:
% 265.71/207.32 | (836) e2 = e0
% 265.71/207.32 |
% 265.71/207.32 | Simplifying 836 yields:
% 265.71/207.32 | (551) e2 = e0
% 265.71/207.32 |
% 265.71/207.32 | Equations (551) can reduce 347 to:
% 265.71/207.32 | (366) $false
% 265.71/207.32 |
% 265.71/207.32 |-The branch is then unsatisfiable
% 265.71/207.32 |-Branch two:
% 265.71/207.32 | (399) ~ (all_0_33_33 = e0)
% 265.71/207.32 | (1717) all_0_34_34 = e0
% 265.71/207.32 |
% 265.71/207.32 | Equations (1717) can reduce 384 to:
% 265.71/207.32 | (366) $false
% 265.71/207.32 |
% 265.71/207.32 |-The branch is then unsatisfiable
% 265.71/207.32 |-Branch two:
% 265.71/207.32 | (890) ~ (all_0_28_28 = e4)
% 265.71/207.32 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 265.71/207.32 |
% 265.71/207.32 +-Applying beta-rule and splitting (895), into two cases.
% 265.71/207.32 |-Branch one:
% 265.71/207.32 | (896) all_0_28_28 = e3
% 265.71/207.32 |
% 265.71/207.32 | Equations (896) can reduce 1035 to:
% 265.71/207.32 | (366) $false
% 265.71/207.32 |
% 265.71/207.32 |-The branch is then unsatisfiable
% 265.71/207.32 |-Branch two:
% 265.71/207.32 | (1035) ~ (all_0_28_28 = e3)
% 265.71/207.32 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 265.71/207.32 |
% 265.71/207.32 +-Applying beta-rule and splitting (1036), into two cases.
% 265.71/207.32 |-Branch one:
% 265.71/207.32 | (1037) all_0_28_28 = e2
% 265.71/207.32 |
% 265.71/207.32 | Equations (1037) can reduce 649 to:
% 265.71/207.32 | (366) $false
% 265.71/207.32 |
% 265.71/207.32 |-The branch is then unsatisfiable
% 265.71/207.32 |-Branch two:
% 265.71/207.32 | (649) ~ (all_0_28_28 = e2)
% 265.71/207.32 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 265.71/207.32 |
% 265.71/207.32 +-Applying beta-rule and splitting (1040), into two cases.
% 265.71/207.32 |-Branch one:
% 265.71/207.32 | (1041) all_0_28_28 = e1
% 265.71/207.32 |
% 265.71/207.32 | Equations (1041) can reduce 421 to:
% 265.71/207.32 | (366) $false
% 265.71/207.32 |
% 265.71/207.32 |-The branch is then unsatisfiable
% 265.71/207.32 |-Branch two:
% 265.71/207.32 | (421) ~ (all_0_28_28 = e1)
% 265.71/207.32 | (1044) all_0_28_28 = e0
% 265.71/207.32 |
% 265.71/207.32 | Equations (1044) can reduce 886 to:
% 265.71/207.32 | (366) $false
% 265.71/207.32 |
% 265.71/207.32 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (2785) ~ (all_0_19_19 = e2)
% 265.71/207.33 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (4311), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (927) all_0_19_19 = e3
% 265.71/207.33 |
% 265.71/207.33 | Equations (927) can reduce 562 to:
% 265.71/207.33 | (366) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (562) ~ (all_0_19_19 = e3)
% 265.71/207.33 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (4315), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (663) all_0_19_19 = e2
% 265.71/207.33 |
% 265.71/207.33 | Equations (663) can reduce 2785 to:
% 265.71/207.33 | (366) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (2785) ~ (all_0_19_19 = e2)
% 265.71/207.33 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (4319), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (716) all_0_19_19 = e1
% 265.71/207.33 |
% 265.71/207.33 | Equations (716) can reduce 280 to:
% 265.71/207.33 | (425) ~ (all_0_34_34 = e1)
% 265.71/207.33 |
% 265.71/207.33 | Simplifying 425 yields:
% 265.71/207.33 | (426) ~ (all_0_34_34 = e1)
% 265.71/207.33 |
% 265.71/207.33 | From (716) and (16575) follows:
% 265.71/207.33 | (13958) op(e1, e3) = e0
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (83), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (723) all_0_34_34 = e4
% 265.71/207.33 |
% 265.71/207.33 | Equations (723) can reduce 15 to:
% 265.71/207.33 | (509) ~ (all_0_30_30 = e4)
% 265.71/207.33 |
% 265.71/207.33 | Equations (723) can reduce 188 to:
% 265.71/207.33 | (584) ~ (all_0_31_31 = e4)
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (13916), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (13982) ~ (op(e1, e3) = e0)
% 265.71/207.33 |
% 265.71/207.33 | Using (13958) and (13982) yields:
% 265.71/207.33 | (821) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (13958) op(e1, e3) = e0
% 265.71/207.33 | (1060) all_0_31_31 = e0
% 265.71/207.33 |
% 265.71/207.33 | Equations (1060) can reduce 217 to:
% 265.71/207.33 | (1878) ~ (all_0_30_30 = e0)
% 265.71/207.33 |
% 265.71/207.33 | Equations (1060) can reduce 584 to:
% 265.71/207.33 | (389) ~ (e4 = e0)
% 265.71/207.33 |
% 265.71/207.33 | Simplifying 389 yields:
% 265.71/207.33 | (287) ~ (e4 = e0)
% 265.71/207.33 |
% 265.71/207.33 | From (1060) and (131) follows:
% 265.71/207.33 | (13958) op(e1, e3) = e0
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (239), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (768) all_0_30_30 = e4
% 265.71/207.33 |
% 265.71/207.33 | Equations (768) can reduce 509 to:
% 265.71/207.33 | (366) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (509) ~ (all_0_30_30 = e4)
% 265.71/207.33 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (771), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (759) all_0_30_30 = e3
% 265.71/207.33 |
% 265.71/207.33 | Equations (759) can reduce 568 to:
% 265.71/207.33 | (366) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (568) ~ (all_0_30_30 = e3)
% 265.71/207.33 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (782), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (747) all_0_30_30 = e2
% 265.71/207.33 |
% 265.71/207.33 | Equations (747) can reduce 740 to:
% 265.71/207.33 | (366) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (740) ~ (all_0_30_30 = e2)
% 265.71/207.33 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (786), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (787) all_0_30_30 = e1
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (334), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (483) all_0_15_15 = e0
% 265.71/207.33 |
% 265.71/207.33 | Combining equations (464,483) yields a new equation:
% 265.71/207.33 | (842) e4 = e0
% 265.71/207.33 |
% 265.71/207.33 | Simplifying 842 yields:
% 265.71/207.33 | (490) e4 = e0
% 265.71/207.33 |
% 265.71/207.33 | Equations (490) can reduce 287 to:
% 265.71/207.33 | (366) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (463) ~ (all_0_15_15 = e0)
% 265.71/207.33 | (2584) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 265.71/207.33 |
% 265.71/207.33 | Equations (464) can reduce 463 to:
% 265.71/207.33 | (287) ~ (e4 = e0)
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (16636), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (16804) ~ (op(all_0_30_30, e3) = e0)
% 265.71/207.33 |
% 265.71/207.33 | From (787) and (16804) follows:
% 265.71/207.33 | (13982) ~ (op(e1, e3) = e0)
% 265.71/207.33 |
% 265.71/207.33 | Using (13958) and (13982) yields:
% 265.71/207.33 | (821) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (16807) op(all_0_30_30, e3) = e0
% 265.71/207.33 | (490) e4 = e0
% 265.71/207.33 |
% 265.71/207.33 | Equations (490) can reduce 287 to:
% 265.71/207.33 | (366) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (422) ~ (all_0_30_30 = e1)
% 265.71/207.33 | (790) all_0_30_30 = e0
% 265.71/207.33 |
% 265.71/207.33 | Equations (790) can reduce 1878 to:
% 265.71/207.33 | (366) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (1395) ~ (all_0_34_34 = e4)
% 265.71/207.33 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.71/207.33 |
% 265.71/207.33 +-Applying beta-rule and splitting (13916), into two cases.
% 265.71/207.33 |-Branch one:
% 265.71/207.33 | (13982) ~ (op(e1, e3) = e0)
% 265.71/207.33 |
% 265.71/207.33 | Using (13958) and (13982) yields:
% 265.71/207.33 | (821) $false
% 265.71/207.33 |
% 265.71/207.33 |-The branch is then unsatisfiable
% 265.71/207.33 |-Branch two:
% 265.71/207.33 | (13958) op(e1, e3) = e0
% 265.71/207.34 | (1060) all_0_31_31 = e0
% 265.71/207.34 |
% 265.71/207.34 | Equations (1060) can reduce 188 to:
% 265.71/207.34 | (2963) ~ (all_0_34_34 = e0)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 2963 yields:
% 265.71/207.34 | (384) ~ (all_0_34_34 = e0)
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (1396), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1027) all_0_34_34 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (1027) can reduce 1031 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (1031) ~ (all_0_34_34 = e3)
% 265.71/207.34 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (1709), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1110) all_0_34_34 = e2
% 265.71/207.34 |
% 265.71/207.34 | Equations (1110) can reduce 672 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (672) ~ (all_0_34_34 = e2)
% 265.71/207.34 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (1713), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (954) all_0_34_34 = e1
% 265.71/207.34 |
% 265.71/207.34 | Equations (954) can reduce 426 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (426) ~ (all_0_34_34 = e1)
% 265.71/207.34 | (1717) all_0_34_34 = e0
% 265.71/207.34 |
% 265.71/207.34 | Equations (1717) can reduce 384 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (720) ~ (all_0_19_19 = e1)
% 265.71/207.34 | (2703) all_0_19_19 = e0
% 265.71/207.34 |
% 265.71/207.34 | Equations (2703) can reduce 381 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (1089) ~ (all_0_32_32 = e3)
% 265.71/207.34 | (1073) all_0_37_37 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (1073) can reduce 777 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (560) ~ (all_0_18_18 = e3)
% 265.71/207.34 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (7544), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1287) all_0_16_16 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (1287) can reduce 458 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (458) ~ (all_0_16_16 = e3)
% 265.71/207.34 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (1137), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (978) all_0_23_23 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (978) can reduce 982 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (982) ~ (all_0_23_23 = e3)
% 265.71/207.34 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (3084), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (896) all_0_28_28 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (896) can reduce 300 to:
% 265.71/207.34 | (560) ~ (all_0_18_18 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (896) can reduce 86 to:
% 265.71/207.34 | (982) ~ (all_0_23_23 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (896) can reduce 193 to:
% 265.71/207.34 | (566) ~ (all_0_25_25 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (896) can reduce 46 to:
% 265.71/207.34 | (504) ~ (all_0_26_26 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (896) can reduce 73 to:
% 265.71/207.34 | (897) ~ (all_0_29_29 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 897 yields:
% 265.71/207.34 | (898) ~ (all_0_29_29 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (896) can reduce 198 to:
% 265.71/207.34 | (2070) ~ (all_0_38_38 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 2070 yields:
% 265.71/207.34 | (1080) ~ (all_0_38_38 = e3)
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (7699), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1970) all_0_17_17 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (1970) can reduce 74 to:
% 265.71/207.34 | (559) ~ (all_0_18_18 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 559 yields:
% 265.71/207.34 | (560) ~ (all_0_18_18 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (1970) can reduce 184 to:
% 265.71/207.34 | (5493) ~ (all_0_22_22 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 5493 yields:
% 265.71/207.34 | (774) ~ (all_0_22_22 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (1970) can reduce 869 to:
% 265.71/207.34 | (695) ~ (e4 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 695 yields:
% 265.71/207.34 | (277) ~ (e4 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (1970) can reduce 1501 to:
% 265.71/207.34 | (318) ~ (e3 = e1)
% 265.71/207.34 |
% 265.71/207.34 | From (1970) and (49) follows:
% 265.71/207.34 | (16867) op(all_0_25_25, e3) = e4
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (931), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (939) all_0_24_24 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (939) can reduce 963 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (963) ~ (all_0_24_24 = e3)
% 265.71/207.34 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (964), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1023) all_0_29_29 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (1023) can reduce 898 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (898) ~ (all_0_29_29 = e3)
% 265.71/207.34 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (1026), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1027) all_0_34_34 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (1027) can reduce 280 to:
% 265.71/207.34 | (562) ~ (all_0_19_19 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (1027) can reduce 41 to:
% 265.71/207.34 | (898) ~ (all_0_29_29 = e3)
% 265.71/207.34 |
% 265.71/207.34 | Equations (1027) can reduce 15 to:
% 265.71/207.34 | (568) ~ (all_0_30_30 = e3)
% 265.71/207.34 |
% 265.71/207.34 | From (1027) and (181) follows:
% 265.71/207.34 | (16880) op(e3, all_0_38_38) = e0
% 265.71/207.34 |
% 265.71/207.34 | From (1027) and (312) follows:
% 265.71/207.34 | (2233) op(all_0_38_38, e3) = e1
% 265.71/207.34 |
% 265.71/207.34 | Instantiating formula (97) with e0, e3, e4, all_0_36_36 and discharging atoms op(e0, e3) = all_0_36_36, yields:
% 265.71/207.34 | (5646) all_0_36_36 = e4 | ~ (op(e0, e3) = e4)
% 265.71/207.34 |
% 265.71/207.34 | Instantiating formula (97) with e4, e3, e1, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 265.71/207.34 | (2235) all_0_16_16 = e1 | ~ (op(e4, e3) = e1)
% 265.71/207.34 |
% 265.71/207.34 | Instantiating formula (97) with e3, all_0_38_38, e0, e4 and discharging atoms op(e3, all_0_38_38) = e0, yields:
% 265.71/207.34 | (16884) e4 = e0 | ~ (op(e3, all_0_38_38) = e4)
% 265.71/207.34 |
% 265.71/207.34 | Instantiating formula (97) with e3, e1, e0, all_0_23_23 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 265.71/207.34 | (12883) all_0_23_23 = e0 | ~ (op(e3, e1) = e0)
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (159), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (787) all_0_30_30 = e1
% 265.71/207.34 |
% 265.71/207.34 | Equations (787) can reduce 116 to:
% 265.71/207.34 | (1409) ~ (all_0_20_20 = e1)
% 265.71/207.34 |
% 265.71/207.34 | Equations (787) can reduce 509 to:
% 265.71/207.34 | (477) ~ (e4 = e1)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 477 yields:
% 265.71/207.34 | (65) ~ (e4 = e1)
% 265.71/207.34 |
% 265.71/207.34 | Equations (787) can reduce 568 to:
% 265.71/207.34 | (429) ~ (e3 = e1)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 429 yields:
% 265.71/207.34 | (318) ~ (e3 = e1)
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (308), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1175) all_0_20_20 = e1
% 265.71/207.34 |
% 265.71/207.34 | Equations (1175) can reduce 1409 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (1409) ~ (all_0_20_20 = e1)
% 265.71/207.34 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (32), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (716) all_0_19_19 = e1
% 265.71/207.34 |
% 265.71/207.34 | Equations (716) can reduce 337 to:
% 265.71/207.34 | (419) ~ (all_0_18_18 = e1)
% 265.71/207.34 |
% 265.71/207.34 | From (716) and (16576) follows:
% 265.71/207.34 | (13957) op(e3, e1) = e4
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (26), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (887) all_0_18_18 = e4
% 265.71/207.34 |
% 265.71/207.34 | Equations (887) can reduce 1046 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (1046) ~ (all_0_18_18 = e4)
% 265.71/207.34 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (1047), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1134) all_0_18_18 = e3
% 265.71/207.34 |
% 265.71/207.34 | Equations (1134) can reduce 560 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (560) ~ (all_0_18_18 = e3)
% 265.71/207.34 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (1270), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1274) all_0_18_18 = e2
% 265.71/207.34 |
% 265.71/207.34 | Equations (1274) can reduce 666 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (666) ~ (all_0_18_18 = e2)
% 265.71/207.34 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 265.71/207.34 |
% 265.71/207.34 +-Applying beta-rule and splitting (1277), into two cases.
% 265.71/207.34 |-Branch one:
% 265.71/207.34 | (1278) all_0_18_18 = e1
% 265.71/207.34 |
% 265.71/207.34 | Equations (1278) can reduce 419 to:
% 265.71/207.34 | (366) $false
% 265.71/207.34 |
% 265.71/207.34 |-The branch is then unsatisfiable
% 265.71/207.34 |-Branch two:
% 265.71/207.34 | (419) ~ (all_0_18_18 = e1)
% 265.71/207.34 | (1153) all_0_18_18 = e0
% 265.71/207.34 |
% 265.71/207.34 | Equations (1153) can reduce 110 to:
% 265.71/207.34 | (7248) ~ (all_0_23_23 = e0)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 7248 yields:
% 265.71/207.34 | (1068) ~ (all_0_23_23 = e0)
% 265.71/207.34 |
% 265.71/207.34 | Equations (1153) can reduce 142 to:
% 265.71/207.34 | (1285) ~ (all_0_38_38 = e0)
% 265.71/207.34 |
% 265.71/207.34 | Simplifying 1285 yields:
% 265.71/207.34 | (388) ~ (all_0_38_38 = e0)
% 265.71/207.34 |
% 265.71/207.35 +-Applying beta-rule and splitting (13914), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (14019) ~ (op(e3, e1) = e4)
% 265.71/207.35 |
% 265.71/207.35 | Using (13957) and (14019) yields:
% 265.71/207.35 | (821) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (13957) op(e3, e1) = e4
% 265.71/207.35 | (1515) all_0_23_23 = e4
% 265.71/207.35 |
% 265.71/207.35 | Equations (1515) can reduce 39 to:
% 265.71/207.35 | (1142) ~ (all_0_38_38 = e4)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 1142 yields:
% 265.71/207.35 | (1143) ~ (all_0_38_38 = e4)
% 265.71/207.35 |
% 265.71/207.35 | Equations (1515) can reduce 1068 to:
% 265.71/207.35 | (287) ~ (e4 = e0)
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (358), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (1165) all_0_38_38 = e4
% 265.71/207.35 |
% 265.71/207.35 | Equations (1165) can reduce 1143 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (1143) ~ (all_0_38_38 = e4)
% 265.71/207.35 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (1168), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (1077) all_0_38_38 = e3
% 265.71/207.35 |
% 265.71/207.35 | Equations (1077) can reduce 1080 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (1080) ~ (all_0_38_38 = e3)
% 265.71/207.35 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (1206), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (809) all_0_38_38 = e2
% 265.71/207.35 |
% 265.71/207.35 | Equations (809) can reduce 1084 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (1084) ~ (all_0_38_38 = e2)
% 265.71/207.35 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (1210), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (1211) all_0_38_38 = e1
% 265.71/207.35 |
% 265.71/207.35 | From (1211) and (16880) follows:
% 265.71/207.35 | (12927) op(e3, e1) = e0
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (12883), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (12942) ~ (op(e3, e1) = e0)
% 265.71/207.35 |
% 265.71/207.35 | Using (12927) and (12942) yields:
% 265.71/207.35 | (821) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (12927) op(e3, e1) = e0
% 265.71/207.35 | (851) all_0_23_23 = e0
% 265.71/207.35 |
% 265.71/207.35 | Combining equations (1515,851) yields a new equation:
% 265.71/207.35 | (842) e4 = e0
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 842 yields:
% 265.71/207.35 | (490) e4 = e0
% 265.71/207.35 |
% 265.71/207.35 | Equations (490) can reduce 287 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (428) ~ (all_0_38_38 = e1)
% 265.71/207.35 | (1214) all_0_38_38 = e0
% 265.71/207.35 |
% 265.71/207.35 | Equations (1214) can reduce 388 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (720) ~ (all_0_19_19 = e1)
% 265.71/207.35 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (4311), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (927) all_0_19_19 = e3
% 265.71/207.35 |
% 265.71/207.35 | Equations (927) can reduce 562 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (562) ~ (all_0_19_19 = e3)
% 265.71/207.35 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (4315), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (663) all_0_19_19 = e2
% 265.71/207.35 |
% 265.71/207.35 | Equations (663) can reduce 87 to:
% 265.71/207.35 | (667) ~ (all_0_24_24 = e2)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 667 yields:
% 265.71/207.35 | (668) ~ (all_0_24_24 = e2)
% 265.71/207.35 |
% 265.71/207.35 | Equations (663) can reduce 229 to:
% 265.71/207.35 | (650) ~ (all_0_29_29 = e2)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 650 yields:
% 265.71/207.35 | (651) ~ (all_0_29_29 = e2)
% 265.71/207.35 |
% 265.71/207.35 | Equations (663) can reduce 714 to:
% 265.71/207.35 | (444) ~ (e4 = e2)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 444 yields:
% 265.71/207.35 | (19) ~ (e4 = e2)
% 265.71/207.35 |
% 265.71/207.35 | Equations (663) can reduce 562 to:
% 265.71/207.35 | (658) ~ (e3 = e2)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 658 yields:
% 265.71/207.35 | (56) ~ (e3 = e2)
% 265.71/207.35 |
% 265.71/207.35 | From (663) and (16575) follows:
% 265.71/207.35 | (5161) op(e2, e3) = e0
% 265.71/207.35 |
% 265.71/207.35 | From (663) and (16576) follows:
% 265.71/207.35 | (5666) op(e3, e2) = e4
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (721), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (940) all_0_24_24 = e1
% 265.71/207.35 |
% 265.71/207.35 | Equations (940) can reduce 268 to:
% 265.71/207.35 | (1018) ~ (all_0_22_22 = e1)
% 265.71/207.35 |
% 265.71/207.35 | Equations (940) can reduce 668 to:
% 265.71/207.35 | (1002) ~ (e2 = e1)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 1002 yields:
% 265.71/207.35 | (329) ~ (e2 = e1)
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (242), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (711) all_0_19_19 = e4
% 265.71/207.35 |
% 265.71/207.35 | Combining equations (711,663) yields a new equation:
% 265.71/207.35 | (1111) e4 = e2
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 1111 yields:
% 265.71/207.35 | (539) e4 = e2
% 265.71/207.35 |
% 265.71/207.35 | Equations (539) can reduce 19 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (714) ~ (all_0_19_19 = e4)
% 265.71/207.35 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (715), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (685) all_0_24_24 = e4
% 265.71/207.35 |
% 265.71/207.35 | Combining equations (940,685) yields a new equation:
% 265.71/207.35 | (480) e4 = e1
% 265.71/207.35 |
% 265.71/207.35 | Equations (480) can reduce 65 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (580) ~ (all_0_24_24 = e4)
% 265.71/207.35 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (1400), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (1250) all_0_29_29 = e4
% 265.71/207.35 |
% 265.71/207.35 | Equations (1250) can reduce 651 to:
% 265.71/207.35 | (19) ~ (e4 = e2)
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (5649), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (5667) ~ (op(e3, e2) = e4)
% 265.71/207.35 |
% 265.71/207.35 | Using (5666) and (5667) yields:
% 265.71/207.35 | (821) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (5666) op(e3, e2) = e4
% 265.71/207.35 | (831) all_0_22_22 = e4
% 265.71/207.35 |
% 265.71/207.35 | Equations (831) can reduce 346 to:
% 265.71/207.35 | (577) ~ (all_0_23_23 = e4)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 577 yields:
% 265.71/207.35 | (578) ~ (all_0_23_23 = e4)
% 265.71/207.35 |
% 265.71/207.35 | Equations (831) can reduce 63 to:
% 265.71/207.35 | (1495) ~ (all_0_32_32 = e4)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 1495 yields:
% 265.71/207.35 | (727) ~ (all_0_32_32 = e4)
% 265.71/207.35 |
% 265.71/207.35 | Equations (831) can reduce 202 to:
% 265.71/207.35 | (3299) ~ (all_0_37_37 = e4)
% 265.71/207.35 |
% 265.71/207.35 | Simplifying 3299 yields:
% 265.71/207.35 | (2658) ~ (all_0_37_37 = e4)
% 265.71/207.35 |
% 265.71/207.35 | Equations (831) can reduce 774 to:
% 265.71/207.35 | (277) ~ (e4 = e3)
% 265.71/207.35 |
% 265.71/207.35 | Equations (831) can reduce 1018 to:
% 265.71/207.35 | (65) ~ (e4 = e1)
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (137), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (1515) all_0_23_23 = e4
% 265.71/207.35 |
% 265.71/207.35 | Equations (1515) can reduce 578 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (578) ~ (all_0_23_23 = e4)
% 265.71/207.35 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (261), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (1229) all_0_32_32 = e4
% 265.71/207.35 |
% 265.71/207.35 | Equations (1229) can reduce 727 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (727) ~ (all_0_32_32 = e4)
% 265.71/207.35 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.71/207.35 |
% 265.71/207.35 +-Applying beta-rule and splitting (203), into two cases.
% 265.71/207.35 |-Branch one:
% 265.71/207.35 | (1980) all_0_17_17 = e2
% 265.71/207.35 |
% 265.71/207.35 | Combining equations (1980,1970) yields a new equation:
% 265.71/207.35 | (764) e3 = e2
% 265.71/207.35 |
% 265.71/207.35 | Equations (764) can reduce 56 to:
% 265.71/207.35 | (366) $false
% 265.71/207.35 |
% 265.71/207.35 |-The branch is then unsatisfiable
% 265.71/207.35 |-Branch two:
% 265.71/207.35 | (459) ~ (all_0_17_17 = e2)
% 265.71/207.36 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (271), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (1232) all_0_37_37 = e4
% 265.71/207.36 |
% 265.71/207.36 | Equations (1232) can reduce 2658 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (2658) ~ (all_0_37_37 = e4)
% 265.71/207.36 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (15439), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (917) all_0_22_22 = e2
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (831,917) yields a new equation:
% 265.71/207.36 | (1111) e4 = e2
% 265.71/207.36 |
% 265.71/207.36 | Simplifying 1111 yields:
% 265.71/207.36 | (539) e4 = e2
% 265.71/207.36 |
% 265.71/207.36 | Equations (539) can reduce 19 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (493) ~ (all_0_22_22 = e2)
% 265.71/207.36 | (16070) all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (16070), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (443) all_0_27_27 = e2
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (543,443) yields a new equation:
% 265.71/207.36 | (718) e2 = e1
% 265.71/207.36 |
% 265.71/207.36 | Equations (718) can reduce 329 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (500) ~ (all_0_27_27 = e2)
% 265.71/207.36 | (16095) all_0_32_32 = e2 | all_0_37_37 = e2
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (16095), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (1101) all_0_32_32 = e2
% 265.71/207.36 |
% 265.71/207.36 | Equations (1101) can reduce 508 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (508) ~ (all_0_32_32 = e2)
% 265.71/207.36 | (805) all_0_37_37 = e2
% 265.71/207.36 |
% 265.71/207.36 | Equations (805) can reduce 183 to:
% 265.71/207.36 | (756) ~ (all_0_36_36 = e2)
% 265.71/207.36 |
% 265.71/207.36 | Equations (805) can reduce 354 to:
% 265.71/207.36 | (1130) ~ (all_0_38_38 = e2)
% 265.71/207.36 |
% 265.71/207.36 | Simplifying 1130 yields:
% 265.71/207.36 | (1084) ~ (all_0_38_38 = e2)
% 265.71/207.36 |
% 265.71/207.36 | Equations (805) can reduce 2658 to:
% 265.71/207.36 | (444) ~ (e4 = e2)
% 265.71/207.36 |
% 265.71/207.36 | Simplifying 444 yields:
% 265.71/207.36 | (19) ~ (e4 = e2)
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (36), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (887) all_0_18_18 = e4
% 265.71/207.36 |
% 265.71/207.36 | Equations (887) can reduce 1046 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (1046) ~ (all_0_18_18 = e4)
% 265.71/207.36 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (1051), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (1515) all_0_23_23 = e4
% 265.71/207.36 |
% 265.71/207.36 | Equations (1515) can reduce 578 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (578) ~ (all_0_23_23 = e4)
% 265.71/207.36 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (1518), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (892) all_0_28_28 = e4
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (896,892) yields a new equation:
% 265.71/207.36 | (691) e4 = e3
% 265.71/207.36 |
% 265.71/207.36 | Equations (691) can reduce 277 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (890) ~ (all_0_28_28 = e4)
% 265.71/207.36 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (327), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (768) all_0_30_30 = e4
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (787,768) yields a new equation:
% 265.71/207.36 | (480) e4 = e1
% 265.71/207.36 |
% 265.71/207.36 | Equations (480) can reduce 65 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (509) ~ (all_0_30_30 = e4)
% 265.71/207.36 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (1522), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (406) all_0_33_33 = e4
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (414,406) yields a new equation:
% 265.71/207.36 | (539) e4 = e2
% 265.71/207.36 |
% 265.71/207.36 | Equations (539) can reduce 19 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (405) ~ (all_0_33_33 = e4)
% 265.71/207.36 | (1165) all_0_38_38 = e4
% 265.71/207.36 |
% 265.71/207.36 | Equations (1165) can reduce 1080 to:
% 265.71/207.36 | (277) ~ (e4 = e3)
% 265.71/207.36 |
% 265.71/207.36 | Equations (1165) can reduce 1084 to:
% 265.71/207.36 | (19) ~ (e4 = e2)
% 265.71/207.36 |
% 265.71/207.36 | From (1165) and (2233) follows:
% 265.71/207.36 | (2493) op(e4, e3) = e1
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (1437), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (1446) all_0_31_31 = e4
% 265.71/207.36 |
% 265.71/207.36 | Equations (1446) can reduce 7 to:
% 265.71/207.36 | (585) ~ (all_0_36_36 = e4)
% 265.71/207.36 |
% 265.71/207.36 | Simplifying 585 yields:
% 265.71/207.36 | (586) ~ (all_0_36_36 = e4)
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (2235), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (2498) ~ (op(e4, e3) = e1)
% 265.71/207.36 |
% 265.71/207.36 | Using (2493) and (2498) yields:
% 265.71/207.36 | (821) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (2493) op(e4, e3) = e1
% 265.71/207.36 | (921) all_0_16_16 = e1
% 265.71/207.36 |
% 265.71/207.36 | Equations (921) can reduce 64 to:
% 265.71/207.36 | (2547) ~ (all_0_36_36 = e1)
% 265.71/207.36 |
% 265.71/207.36 | Simplifying 2547 yields:
% 265.71/207.36 | (1593) ~ (all_0_36_36 = e1)
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (5075), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (5162) ~ (op(e2, e3) = e0)
% 265.71/207.36 |
% 265.71/207.36 | Using (5161) and (5162) yields:
% 265.71/207.36 | (821) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (5161) op(e2, e3) = e0
% 265.71/207.36 | (883) all_0_26_26 = e0
% 265.71/207.36 |
% 265.71/207.36 | Equations (883) can reduce 170 to:
% 265.71/207.36 | (3457) ~ (all_0_36_36 = e0)
% 265.71/207.36 |
% 265.71/207.36 | Simplifying 3457 yields:
% 265.71/207.36 | (386) ~ (all_0_36_36 = e0)
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (187), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (2611) all_0_36_36 = e4
% 265.71/207.36 |
% 265.71/207.36 | Equations (2611) can reduce 586 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (586) ~ (all_0_36_36 = e4)
% 265.71/207.36 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (2614), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (818) all_0_36_36 = e3
% 265.71/207.36 |
% 265.71/207.36 | Equations (818) can reduce 516 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (516) ~ (all_0_36_36 = e3)
% 265.71/207.36 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (3567), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (801) all_0_36_36 = e2
% 265.71/207.36 |
% 265.71/207.36 | Equations (801) can reduce 756 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (756) ~ (all_0_36_36 = e2)
% 265.71/207.36 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (3571), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (1015) all_0_36_36 = e1
% 265.71/207.36 |
% 265.71/207.36 | Equations (1015) can reduce 1593 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (1593) ~ (all_0_36_36 = e1)
% 265.71/207.36 | (1065) all_0_36_36 = e0
% 265.71/207.36 |
% 265.71/207.36 | Equations (1065) can reduce 386 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (584) ~ (all_0_31_31 = e4)
% 265.71/207.36 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (1449), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (1229) all_0_32_32 = e4
% 265.71/207.36 |
% 265.71/207.36 | Equations (1229) can reduce 727 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (727) ~ (all_0_32_32 = e4)
% 265.71/207.36 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (1476), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (406) all_0_33_33 = e4
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (406,414) yields a new equation:
% 265.71/207.36 | (1111) e4 = e2
% 265.71/207.36 |
% 265.71/207.36 | Simplifying 1111 yields:
% 265.71/207.36 | (539) e4 = e2
% 265.71/207.36 |
% 265.71/207.36 | Equations (539) can reduce 19 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (405) ~ (all_0_33_33 = e4)
% 265.71/207.36 | (723) all_0_34_34 = e4
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (1027,723) yields a new equation:
% 265.71/207.36 | (691) e4 = e3
% 265.71/207.36 |
% 265.71/207.36 | Equations (691) can reduce 277 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (724) ~ (all_0_29_29 = e4)
% 265.71/207.36 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 265.71/207.36 |
% 265.71/207.36 +-Applying beta-rule and splitting (1735), into two cases.
% 265.71/207.36 |-Branch one:
% 265.71/207.36 | (723) all_0_34_34 = e4
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (1027,723) yields a new equation:
% 265.71/207.36 | (691) e4 = e3
% 265.71/207.36 |
% 265.71/207.36 | Equations (691) can reduce 277 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (1395) ~ (all_0_34_34 = e4)
% 265.71/207.36 | (365) all_0_39_39 = e4
% 265.71/207.36 |
% 265.71/207.36 | Combining equations (380,365) yields a new equation:
% 265.71/207.36 | (490) e4 = e0
% 265.71/207.36 |
% 265.71/207.36 | Equations (490) can reduce 287 to:
% 265.71/207.36 | (366) $false
% 265.71/207.36 |
% 265.71/207.36 |-The branch is then unsatisfiable
% 265.71/207.36 |-Branch two:
% 265.71/207.36 | (943) ~ (all_0_24_24 = e1)
% 265.71/207.36 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.71/207.36 |
% 265.71/207.37 +-Applying beta-rule and splitting (5649), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (5667) ~ (op(e3, e2) = e4)
% 265.71/207.37 |
% 265.71/207.37 | Using (5666) and (5667) yields:
% 265.71/207.37 | (821) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (5666) op(e3, e2) = e4
% 265.71/207.37 | (831) all_0_22_22 = e4
% 265.71/207.37 |
% 265.71/207.37 | Equations (831) can reduce 1018 to:
% 265.71/207.37 | (65) ~ (e4 = e1)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (5075), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (5162) ~ (op(e2, e3) = e0)
% 265.71/207.37 |
% 265.71/207.37 | Using (5161) and (5162) yields:
% 265.71/207.37 | (821) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (5161) op(e2, e3) = e0
% 265.71/207.37 | (883) all_0_26_26 = e0
% 265.71/207.37 |
% 265.71/207.37 | Equations (883) can reduce 1008 to:
% 265.71/207.37 | (395) ~ (e1 = e0)
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 395 yields:
% 265.71/207.37 | (37) ~ (e1 = e0)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (127), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (790) all_0_30_30 = e0
% 265.71/207.37 |
% 265.71/207.37 | Combining equations (787,790) yields a new equation:
% 265.71/207.37 | (960) e1 = e0
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 960 yields:
% 265.71/207.37 | (961) e1 = e0
% 265.71/207.37 |
% 265.71/207.37 | Equations (961) can reduce 37 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (1878) ~ (all_0_30_30 = e0)
% 265.71/207.37 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.71/207.37 |
% 265.71/207.37 | Equations (787) can reduce 1878 to:
% 265.71/207.37 | (37) ~ (e1 = e0)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (944), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (945) all_0_29_29 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (945) can reduce 952 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (952) ~ (all_0_29_29 = e1)
% 265.71/207.37 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (4682), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (526) all_0_21_21 = e1
% 265.71/207.37 |
% 265.71/207.37 | Combining equations (453,526) yields a new equation:
% 265.71/207.37 | (933) e3 = e1
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 933 yields:
% 265.71/207.37 | (706) e3 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (706) can reduce 318 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (363) ~ (all_0_21_21 = e1)
% 265.71/207.37 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (4688), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (999) all_0_22_22 = e1
% 265.71/207.37 |
% 265.71/207.37 | Combining equations (831,999) yields a new equation:
% 265.71/207.37 | (955) e4 = e1
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 955 yields:
% 265.71/207.37 | (480) e4 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (480) can reduce 65 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (1018) ~ (all_0_22_22 = e1)
% 265.71/207.37 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (5033), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (3952) all_0_23_23 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (3952) can reduce 982 to:
% 265.71/207.37 | (429) ~ (e3 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 429 yields:
% 265.71/207.37 | (318) ~ (e3 = e1)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (953), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (954) all_0_34_34 = e1
% 265.71/207.37 |
% 265.71/207.37 | Combining equations (1027,954) yields a new equation:
% 265.71/207.37 | (933) e3 = e1
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 933 yields:
% 265.71/207.37 | (706) e3 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (706) can reduce 318 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (426) ~ (all_0_34_34 = e1)
% 265.71/207.37 | (377) all_0_39_39 = e1
% 265.71/207.37 |
% 265.71/207.37 | Combining equations (380,377) yields a new equation:
% 265.71/207.37 | (961) e1 = e0
% 265.71/207.37 |
% 265.71/207.37 | Equations (961) can reduce 37 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (420) ~ (all_0_23_23 = e1)
% 265.71/207.37 | (940) all_0_24_24 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (940) can reduce 943 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (2785) ~ (all_0_19_19 = e2)
% 265.71/207.37 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (4319), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (716) all_0_19_19 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (716) can reduce 720 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (720) ~ (all_0_19_19 = e1)
% 265.71/207.37 | (2703) all_0_19_19 = e0
% 265.71/207.37 |
% 265.71/207.37 | Equations (2703) can reduce 381 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (422) ~ (all_0_30_30 = e1)
% 265.71/207.37 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (5570), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (1010) all_0_31_31 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (1010) can reduce 10 to:
% 265.71/207.37 | (985) ~ (all_0_16_16 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Equations (1010) can reduce 145 to:
% 265.71/207.37 | (1008) ~ (all_0_26_26 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Equations (1010) can reduce 7 to:
% 265.71/207.37 | (2547) ~ (all_0_36_36 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 2547 yields:
% 265.71/207.37 | (1593) ~ (all_0_36_36 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Equations (1010) can reduce 1099 to:
% 265.71/207.37 | (1002) ~ (e2 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 1002 yields:
% 265.71/207.37 | (329) ~ (e2 = e1)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (1199), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (1015) all_0_36_36 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (1015) can reduce 1593 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (1593) ~ (all_0_36_36 = e1)
% 265.71/207.37 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (2672), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (1590) all_0_37_37 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (1590) can reduce 2562 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (2562) ~ (all_0_37_37 = e1)
% 265.71/207.37 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (937), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (1175) all_0_20_20 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (1175) can reduce 95 to:
% 265.71/207.37 | (4378) ~ (all_0_25_25 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 4378 yields:
% 265.71/207.37 | (946) ~ (all_0_25_25 = e1)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (2921), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (736) all_0_20_20 = e2
% 265.71/207.37 |
% 265.71/207.37 | Combining equations (736,1175) yields a new equation:
% 265.71/207.37 | (717) e2 = e1
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 717 yields:
% 265.71/207.37 | (718) e2 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (718) can reduce 329 to:
% 265.71/207.37 | (366) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (1114) ~ (all_0_20_20 = e2)
% 265.71/207.37 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (10030), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (3159) all_0_25_25 = e2
% 265.71/207.37 |
% 265.71/207.37 | Equations (3159) can reduce 62 to:
% 265.71/207.37 | (650) ~ (all_0_29_29 = e2)
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 650 yields:
% 265.71/207.37 | (651) ~ (all_0_29_29 = e2)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (357), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (1250) all_0_29_29 = e4
% 265.71/207.37 |
% 265.71/207.37 | Equations (1250) can reduce 952 to:
% 265.71/207.37 | (65) ~ (e4 = e1)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (2676), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (1211) all_0_38_38 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (1211) can reduce 142 to:
% 265.71/207.37 | (419) ~ (all_0_18_18 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Equations (1211) can reduce 1080 to:
% 265.71/207.37 | (429) ~ (e3 = e1)
% 265.71/207.37 |
% 265.71/207.37 | Simplifying 429 yields:
% 265.71/207.37 | (318) ~ (e3 = e1)
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (32), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (716) all_0_19_19 = e1
% 265.71/207.37 |
% 265.71/207.37 | Equations (716) can reduce 381 to:
% 265.71/207.37 | (37) ~ (e1 = e0)
% 265.71/207.37 |
% 265.71/207.37 | From (716) and (16575) follows:
% 265.71/207.37 | (13958) op(e1, e3) = e0
% 265.71/207.37 |
% 265.71/207.37 +-Applying beta-rule and splitting (13916), into two cases.
% 265.71/207.37 |-Branch one:
% 265.71/207.37 | (13982) ~ (op(e1, e3) = e0)
% 265.71/207.37 |
% 265.71/207.37 | Using (13958) and (13982) yields:
% 265.71/207.37 | (821) $false
% 265.71/207.37 |
% 265.71/207.37 |-The branch is then unsatisfiable
% 265.71/207.37 |-Branch two:
% 265.71/207.37 | (13958) op(e1, e3) = e0
% 265.71/207.38 | (1060) all_0_31_31 = e0
% 265.71/207.38 |
% 265.71/207.38 | Combining equations (1010,1060) yields a new equation:
% 265.71/207.38 | (960) e1 = e0
% 265.71/207.38 |
% 265.71/207.38 | Simplifying 960 yields:
% 265.71/207.38 | (961) e1 = e0
% 265.71/207.38 |
% 265.71/207.38 | Equations (961) can reduce 37 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (720) ~ (all_0_19_19 = e1)
% 265.71/207.38 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (323), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (476) all_0_15_15 = e1
% 265.71/207.38 |
% 265.71/207.38 | Combining equations (464,476) yields a new equation:
% 265.71/207.38 | (955) e4 = e1
% 265.71/207.38 |
% 265.71/207.38 | Simplifying 955 yields:
% 265.71/207.38 | (480) e4 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (480) can reduce 65 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (482) ~ (all_0_15_15 = e1)
% 265.71/207.38 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (709), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (921) all_0_16_16 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (921) can reduce 985 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (985) ~ (all_0_16_16 = e1)
% 265.71/207.38 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (1373), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (1498) all_0_17_17 = e1
% 265.71/207.38 |
% 265.71/207.38 | Combining equations (1498,1970) yields a new equation:
% 265.71/207.38 | (706) e3 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (706) can reduce 318 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (1501) ~ (all_0_17_17 = e1)
% 265.71/207.38 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (1681), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (1278) all_0_18_18 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (1278) can reduce 419 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (419) ~ (all_0_18_18 = e1)
% 265.71/207.38 | (716) all_0_19_19 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (716) can reduce 720 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (428) ~ (all_0_38_38 = e1)
% 265.71/207.38 | (377) all_0_39_39 = e1
% 265.71/207.38 |
% 265.71/207.38 | Combining equations (377,380) yields a new equation:
% 265.71/207.38 | (960) e1 = e0
% 265.71/207.38 |
% 265.71/207.38 | Simplifying 960 yields:
% 265.71/207.38 | (961) e1 = e0
% 265.71/207.38 |
% 265.71/207.38 | Equations (961) can reduce 37 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (724) ~ (all_0_29_29 = e4)
% 265.71/207.38 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (2812), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (1023) all_0_29_29 = e3
% 265.71/207.38 |
% 265.71/207.38 | Equations (1023) can reduce 898 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (898) ~ (all_0_29_29 = e3)
% 265.71/207.38 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (5409), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (4103) all_0_29_29 = e2
% 265.71/207.38 |
% 265.71/207.38 | Equations (4103) can reduce 651 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (651) ~ (all_0_29_29 = e2)
% 265.71/207.38 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (5413), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (945) all_0_29_29 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (945) can reduce 952 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (952) ~ (all_0_29_29 = e1)
% 265.71/207.38 | (2537) all_0_29_29 = e0
% 265.71/207.38 |
% 265.71/207.38 | Equations (2537) can reduce 383 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (646) ~ (all_0_25_25 = e2)
% 265.71/207.38 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (3136), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (2438) all_0_25_25 = e3
% 265.71/207.38 |
% 265.71/207.38 | Equations (2438) can reduce 566 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (566) ~ (all_0_25_25 = e3)
% 265.71/207.38 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (3158), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (3159) all_0_25_25 = e2
% 265.71/207.38 |
% 265.71/207.38 | Equations (3159) can reduce 646 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (646) ~ (all_0_25_25 = e2)
% 265.71/207.38 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (3162), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (950) all_0_25_25 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (950) can reduce 946 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (946) ~ (all_0_25_25 = e1)
% 265.71/207.38 | (1921) all_0_25_25 = e0
% 265.71/207.38 |
% 265.71/207.38 | Equations (1921) can reduce 128 to:
% 265.71/207.38 | (2897) ~ (all_0_26_26 = e0)
% 265.71/207.38 |
% 265.71/207.38 | Simplifying 2897 yields:
% 265.71/207.38 | (1058) ~ (all_0_26_26 = e0)
% 265.71/207.38 |
% 265.71/207.38 | From (1921) and (16867) follows:
% 265.71/207.38 | (5823) op(e0, e3) = e4
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (5646), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (5839) ~ (op(e0, e3) = e4)
% 265.71/207.38 |
% 265.71/207.38 | Using (5823) and (5839) yields:
% 265.71/207.38 | (821) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (5823) op(e0, e3) = e4
% 265.71/207.38 | (2611) all_0_36_36 = e4
% 265.71/207.38 |
% 265.71/207.38 | Equations (2611) can reduce 170 to:
% 265.71/207.38 | (582) ~ (all_0_26_26 = e4)
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (182), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (1237) all_0_26_26 = e4
% 265.71/207.38 |
% 265.71/207.38 | Equations (1237) can reduce 582 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (582) ~ (all_0_26_26 = e4)
% 265.71/207.38 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (5353), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (2443) all_0_26_26 = e3
% 265.71/207.38 |
% 265.71/207.38 | Equations (2443) can reduce 504 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (504) ~ (all_0_26_26 = e3)
% 265.71/207.38 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (5357), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (2380) all_0_26_26 = e2
% 265.71/207.38 |
% 265.71/207.38 | Equations (2380) can reduce 504 to:
% 265.71/207.38 | (658) ~ (e3 = e2)
% 265.71/207.38 |
% 265.71/207.38 | Simplifying 658 yields:
% 265.71/207.38 | (56) ~ (e3 = e2)
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (16274), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (747) all_0_30_30 = e2
% 265.71/207.38 |
% 265.71/207.38 | Equations (747) can reduce 740 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (740) ~ (all_0_30_30 = e2)
% 265.71/207.38 | (797) all_0_35_35 = e2
% 265.71/207.38 |
% 265.71/207.38 | Combining equations (814,797) yields a new equation:
% 265.71/207.38 | (3874) e3 = e2
% 265.71/207.38 |
% 265.71/207.38 | Simplifying 3874 yields:
% 265.71/207.38 | (764) e3 = e2
% 265.71/207.38 |
% 265.71/207.38 | Equations (764) can reduce 56 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (647) ~ (all_0_26_26 = e2)
% 265.71/207.38 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (5361), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (1005) all_0_26_26 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (1005) can reduce 1008 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (1008) ~ (all_0_26_26 = e1)
% 265.71/207.38 | (883) all_0_26_26 = e0
% 265.71/207.38 |
% 265.71/207.38 | Equations (883) can reduce 1058 to:
% 265.71/207.38 | (366) $false
% 265.71/207.38 |
% 265.71/207.38 |-The branch is then unsatisfiable
% 265.71/207.38 |-Branch two:
% 265.71/207.38 | (1409) ~ (all_0_20_20 = e1)
% 265.71/207.38 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 265.71/207.38 |
% 265.71/207.38 +-Applying beta-rule and splitting (2676), into two cases.
% 265.71/207.38 |-Branch one:
% 265.71/207.38 | (1211) all_0_38_38 = e1
% 265.71/207.38 |
% 265.71/207.38 | Equations (1211) can reduce 142 to:
% 265.71/207.38 | (419) ~ (all_0_18_18 = e1)
% 265.71/207.39 |
% 265.71/207.39 | Equations (1211) can reduce 1080 to:
% 265.71/207.39 | (429) ~ (e3 = e1)
% 265.71/207.39 |
% 265.71/207.39 | Simplifying 429 yields:
% 265.71/207.39 | (318) ~ (e3 = e1)
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (308), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (1175) all_0_20_20 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (1175) can reduce 1409 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (1409) ~ (all_0_20_20 = e1)
% 265.71/207.39 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (4682), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (526) all_0_21_21 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (526,453) yields a new equation:
% 265.71/207.39 | (706) e3 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (706) can reduce 318 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (363) ~ (all_0_21_21 = e1)
% 265.71/207.39 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (453) can reduce 363 to:
% 265.71/207.39 | (318) ~ (e3 = e1)
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (323), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (476) all_0_15_15 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (476,464) yields a new equation:
% 265.71/207.39 | (480) e4 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (480) can reduce 65 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (482) ~ (all_0_15_15 = e1)
% 265.71/207.39 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (709), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (921) all_0_16_16 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (921) can reduce 985 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (985) ~ (all_0_16_16 = e1)
% 265.71/207.39 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (1373), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (1498) all_0_17_17 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (1498,1970) yields a new equation:
% 265.71/207.39 | (706) e3 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (706) can reduce 318 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (1501) ~ (all_0_17_17 = e1)
% 265.71/207.39 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (1681), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (1278) all_0_18_18 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (1278) can reduce 419 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (419) ~ (all_0_18_18 = e1)
% 265.71/207.39 | (716) all_0_19_19 = e1
% 265.71/207.39 |
% 265.71/207.39 | From (716) and (16576) follows:
% 265.71/207.39 | (13957) op(e3, e1) = e4
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (16884), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (17340) ~ (op(e3, all_0_38_38) = e4)
% 265.71/207.39 |
% 265.71/207.39 | From (1211) and (17340) follows:
% 265.71/207.39 | (14019) ~ (op(e3, e1) = e4)
% 265.71/207.39 |
% 265.71/207.39 | Using (13957) and (14019) yields:
% 265.71/207.39 | (821) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (17343) op(e3, all_0_38_38) = e4
% 265.71/207.39 | (490) e4 = e0
% 265.71/207.39 |
% 265.71/207.39 | Equations (490) can reduce 287 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (428) ~ (all_0_38_38 = e1)
% 265.71/207.39 | (377) all_0_39_39 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (380,377) yields a new equation:
% 265.71/207.39 | (961) e1 = e0
% 265.71/207.39 |
% 265.71/207.39 | Equations (961) can reduce 37 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (423) ~ (all_0_31_31 = e1)
% 265.71/207.39 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (937), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (1175) all_0_20_20 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (1175) can reduce 167 to:
% 265.71/207.39 | (1964) ~ (all_0_24_24 = e1)
% 265.71/207.39 |
% 265.71/207.39 | Simplifying 1964 yields:
% 265.71/207.39 | (943) ~ (all_0_24_24 = e1)
% 265.71/207.39 |
% 265.71/207.39 | Equations (1175) can reduce 564 to:
% 265.71/207.39 | (429) ~ (e3 = e1)
% 265.71/207.39 |
% 265.71/207.39 | Simplifying 429 yields:
% 265.71/207.39 | (318) ~ (e3 = e1)
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (5940), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (1587) all_0_32_32 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (1587) can reduce 424 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (424) ~ (all_0_32_32 = e1)
% 265.71/207.39 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (32), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (716) all_0_19_19 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (716) can reduce 562 to:
% 265.71/207.39 | (429) ~ (e3 = e1)
% 265.71/207.39 |
% 265.71/207.39 | Simplifying 429 yields:
% 265.71/207.39 | (318) ~ (e3 = e1)
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (5953), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (418) all_0_33_33 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (414,418) yields a new equation:
% 265.71/207.39 | (717) e2 = e1
% 265.71/207.39 |
% 265.71/207.39 | Simplifying 717 yields:
% 265.71/207.39 | (718) e2 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (718) can reduce 329 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (507) ~ (all_0_33_33 = e1)
% 265.71/207.39 | (954) all_0_34_34 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (1027,954) yields a new equation:
% 265.71/207.39 | (933) e3 = e1
% 265.71/207.39 |
% 265.71/207.39 | Simplifying 933 yields:
% 265.71/207.39 | (706) e3 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (706) can reduce 318 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (720) ~ (all_0_19_19 = e1)
% 265.71/207.39 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (721), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (940) all_0_24_24 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (940) can reduce 943 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (943) ~ (all_0_24_24 = e1)
% 265.71/207.39 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (944), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (945) all_0_29_29 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (945) can reduce 952 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (952) ~ (all_0_29_29 = e1)
% 265.71/207.39 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (953), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (954) all_0_34_34 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (954,1027) yields a new equation:
% 265.71/207.39 | (706) e3 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (706) can reduce 318 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (426) ~ (all_0_34_34 = e1)
% 265.71/207.39 | (377) all_0_39_39 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (380,377) yields a new equation:
% 265.71/207.39 | (961) e1 = e0
% 265.71/207.39 |
% 265.71/207.39 | Equations (961) can reduce 37 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (1409) ~ (all_0_20_20 = e1)
% 265.71/207.39 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (1656), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (950) all_0_25_25 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (950) can reduce 946 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (946) ~ (all_0_25_25 = e1)
% 265.71/207.39 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 265.71/207.39 |
% 265.71/207.39 +-Applying beta-rule and splitting (1676), into two cases.
% 265.71/207.39 |-Branch one:
% 265.71/207.39 | (787) all_0_30_30 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (787) can reduce 422 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (422) ~ (all_0_30_30 = e1)
% 265.71/207.39 | (1196) all_0_35_35 = e1
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (1196,814) yields a new equation:
% 265.71/207.39 | (706) e3 = e1
% 265.71/207.39 |
% 265.71/207.39 | Equations (706) can reduce 318 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (1031) ~ (all_0_34_34 = e3)
% 265.71/207.39 | (369) all_0_39_39 = e3
% 265.71/207.39 |
% 265.71/207.39 | Combining equations (369,380) yields a new equation:
% 265.71/207.39 | (979) e3 = e0
% 265.71/207.39 |
% 265.71/207.39 | Simplifying 979 yields:
% 265.71/207.39 | (980) e3 = e0
% 265.71/207.39 |
% 265.71/207.39 | Equations (980) can reduce 88 to:
% 265.71/207.39 | (366) $false
% 265.71/207.39 |
% 265.71/207.39 |-The branch is then unsatisfiable
% 265.71/207.39 |-Branch two:
% 265.71/207.39 | (558) ~ (all_0_17_17 = e3)
% 265.93/207.39 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 265.93/207.39 |
% 265.93/207.39 +-Applying beta-rule and splitting (7722), into two cases.
% 265.93/207.39 |-Branch one:
% 265.93/207.39 | (1134) all_0_18_18 = e3
% 265.93/207.39 |
% 265.93/207.39 | Equations (1134) can reduce 560 to:
% 265.93/207.39 | (366) $false
% 265.93/207.39 |
% 265.93/207.39 |-The branch is then unsatisfiable
% 265.93/207.39 |-Branch two:
% 265.93/207.39 | (560) ~ (all_0_18_18 = e3)
% 265.93/207.39 | (927) all_0_19_19 = e3
% 265.93/207.39 |
% 265.93/207.39 | Equations (927) can reduce 562 to:
% 265.93/207.39 | (366) $false
% 265.93/207.39 |
% 265.93/207.39 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (1035) ~ (all_0_28_28 = e3)
% 265.93/207.40 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (3089), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (410) all_0_33_33 = e3
% 265.93/207.40 |
% 265.93/207.40 | Combining equations (410,414) yields a new equation:
% 265.93/207.40 | (3874) e3 = e2
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 3874 yields:
% 265.93/207.40 | (764) e3 = e2
% 265.93/207.40 |
% 265.93/207.40 | Equations (764) can reduce 56 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (403) ~ (all_0_33_33 = e3)
% 265.93/207.40 | (1077) all_0_38_38 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (1077) can reduce 1080 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (570) ~ (all_0_35_35 = e3)
% 265.93/207.40 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (1181), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (814) all_0_35_35 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (814) can reduce 570 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (570) ~ (all_0_35_35 = e3)
% 265.93/207.40 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (1185), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (797) all_0_35_35 = e2
% 265.93/207.40 |
% 265.93/207.40 | Equations (797) can reduce 742 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (742) ~ (all_0_35_35 = e2)
% 265.93/207.40 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (1195), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1196) all_0_35_35 = e1
% 265.93/207.40 |
% 265.93/207.40 | Equations (1196) can reduce 249 to:
% 265.93/207.40 | (1409) ~ (all_0_20_20 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1196) can reduce 96 to:
% 265.93/207.40 | (422) ~ (all_0_30_30 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1196) can reduce 273 to:
% 265.93/207.40 | (2547) ~ (all_0_36_36 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 2547 yields:
% 265.93/207.40 | (1593) ~ (all_0_36_36 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1196) can reduce 121 to:
% 265.93/207.40 | (2561) ~ (all_0_37_37 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 2561 yields:
% 265.93/207.40 | (2562) ~ (all_0_37_37 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1196) can reduce 173 to:
% 265.93/207.40 | (427) ~ (all_0_38_38 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 427 yields:
% 265.93/207.40 | (428) ~ (all_0_38_38 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1196) can reduce 514 to:
% 265.93/207.40 | (477) ~ (e4 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 477 yields:
% 265.93/207.40 | (65) ~ (e4 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1196) can reduce 742 to:
% 265.93/207.40 | (1002) ~ (e2 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 1002 yields:
% 265.93/207.40 | (329) ~ (e2 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1196) can reduce 385 to:
% 265.93/207.40 | (37) ~ (e1 = e0)
% 265.93/207.40 |
% 265.93/207.40 | From (1196) and (332) follows:
% 265.93/207.40 | (17447) op(all_0_19_19, e1) = e0
% 265.93/207.40 |
% 265.93/207.40 | Instantiating formula (97) with e2, e1, e0, all_0_28_28 and discharging atoms op(e2, e1) = all_0_28_28, yields:
% 265.93/207.40 | (1748) all_0_28_28 = e0 | ~ (op(e2, e1) = e0)
% 265.93/207.40 |
% 265.93/207.40 | Instantiating formula (97) with e1, e1, e0, e2 and discharging atoms op(e1, e1) = e2, yields:
% 265.93/207.40 | (17449) e2 = e0 | ~ (op(e1, e1) = e0)
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (358), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1165) all_0_38_38 = e4
% 265.93/207.40 |
% 265.93/207.40 | Equations (1165) can reduce 198 to:
% 265.93/207.40 | (890) ~ (all_0_28_28 = e4)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1165) can reduce 93 to:
% 265.93/207.40 | (586) ~ (all_0_36_36 = e4)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1165) can reduce 428 to:
% 265.93/207.40 | (65) ~ (e4 = e1)
% 265.93/207.40 |
% 265.93/207.40 | From (1165) and (312) follows:
% 265.93/207.40 | (13299) op(e4, all_0_34_34) = e1
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (187), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (2611) all_0_36_36 = e4
% 265.93/207.40 |
% 265.93/207.40 | Equations (2611) can reduce 586 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (586) ~ (all_0_36_36 = e4)
% 265.93/207.40 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (2614), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (818) all_0_36_36 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (818) can reduce 516 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (516) ~ (all_0_36_36 = e3)
% 265.93/207.40 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (817), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (818) all_0_36_36 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (818) can reduce 516 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (516) ~ (all_0_36_36 = e3)
% 265.93/207.40 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (3567), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (801) all_0_36_36 = e2
% 265.93/207.40 |
% 265.93/207.40 | Equations (801) can reduce 1593 to:
% 265.93/207.40 | (329) ~ (e2 = e1)
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (1072), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1073) all_0_37_37 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (1073) can reduce 132 to:
% 265.93/207.40 | (558) ~ (all_0_17_17 = e3)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1073) can reduce 2562 to:
% 265.93/207.40 | (318) ~ (e3 = e1)
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (7544), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1287) all_0_16_16 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (1287) can reduce 458 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (458) ~ (all_0_16_16 = e3)
% 265.93/207.40 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (7699), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1970) all_0_17_17 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (1970) can reduce 558 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (558) ~ (all_0_17_17 = e3)
% 265.93/207.40 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (7722), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1134) all_0_18_18 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (1134) can reduce 110 to:
% 265.93/207.40 | (3066) ~ (all_0_23_23 = e3)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 3066 yields:
% 265.93/207.40 | (982) ~ (all_0_23_23 = e3)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1134) can reduce 300 to:
% 265.93/207.40 | (7575) ~ (all_0_28_28 = e3)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 7575 yields:
% 265.93/207.40 | (1035) ~ (all_0_28_28 = e3)
% 265.93/207.40 |
% 265.93/207.40 | From (1134) and (61) follows:
% 265.93/207.40 | (7889) op(e4, e1) = e3
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (259), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1278) all_0_18_18 = e1
% 265.93/207.40 |
% 265.93/207.40 | Combining equations (1278,1134) yields a new equation:
% 265.93/207.40 | (706) e3 = e1
% 265.93/207.40 |
% 265.93/207.40 | Equations (706) can reduce 318 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (419) ~ (all_0_18_18 = e1)
% 265.93/207.40 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (338), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (892) all_0_28_28 = e4
% 265.93/207.40 |
% 265.93/207.40 | Equations (892) can reduce 890 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (890) ~ (all_0_28_28 = e4)
% 265.93/207.40 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (895), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (896) all_0_28_28 = e3
% 265.93/207.40 |
% 265.93/207.40 | Equations (896) can reduce 1035 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (1035) ~ (all_0_28_28 = e3)
% 265.93/207.40 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (1036), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1037) all_0_28_28 = e2
% 265.93/207.40 |
% 265.93/207.40 | Equations (1037) can reduce 649 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (649) ~ (all_0_28_28 = e2)
% 265.93/207.40 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (1040), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (1041) all_0_28_28 = e1
% 265.93/207.40 |
% 265.93/207.40 | Equations (1041) can reduce 421 to:
% 265.93/207.40 | (366) $false
% 265.93/207.40 |
% 265.93/207.40 |-The branch is then unsatisfiable
% 265.93/207.40 |-Branch two:
% 265.93/207.40 | (421) ~ (all_0_28_28 = e1)
% 265.93/207.40 | (1044) all_0_28_28 = e0
% 265.93/207.40 |
% 265.93/207.40 | Equations (1044) can reduce 86 to:
% 265.93/207.40 | (1068) ~ (all_0_23_23 = e0)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1044) can reduce 649 to:
% 265.93/207.40 | (393) ~ (e2 = e0)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 393 yields:
% 265.93/207.40 | (347) ~ (e2 = e0)
% 265.93/207.40 |
% 265.93/207.40 | Equations (1044) can reduce 421 to:
% 265.93/207.40 | (395) ~ (e1 = e0)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 395 yields:
% 265.93/207.40 | (37) ~ (e1 = e0)
% 265.93/207.40 |
% 265.93/207.40 +-Applying beta-rule and splitting (8300), into two cases.
% 265.93/207.40 |-Branch one:
% 265.93/207.40 | (3952) all_0_23_23 = e1
% 265.93/207.40 |
% 265.93/207.40 | Equations (3952) can reduce 118 to:
% 265.93/207.40 | (1964) ~ (all_0_24_24 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 1964 yields:
% 265.93/207.40 | (943) ~ (all_0_24_24 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (3952) can reduce 982 to:
% 265.93/207.40 | (429) ~ (e3 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Simplifying 429 yields:
% 265.93/207.40 | (318) ~ (e3 = e1)
% 265.93/207.40 |
% 265.93/207.40 | Equations (3952) can reduce 1068 to:
% 265.93/207.40 | (37) ~ (e1 = e0)
% 265.93/207.40 |
% 265.93/207.40 | Instantiating formula (97) with e4, e1, e3, e1 and discharging atoms op(e4, e1) = e3, yields:
% 265.93/207.41 | (17518) e3 = e1 | ~ (op(e4, e1) = e1)
% 265.93/207.41 |
% 265.93/207.41 +-Applying beta-rule and splitting (32), into two cases.
% 265.93/207.41 |-Branch one:
% 265.93/207.41 | (716) all_0_19_19 = e1
% 265.93/207.41 |
% 265.93/207.41 | From (716) and (17447) follows:
% 265.93/207.41 | (14849) op(e1, e1) = e0
% 265.93/207.41 |
% 265.93/207.41 +-Applying beta-rule and splitting (17449), into two cases.
% 265.93/207.41 |-Branch one:
% 265.93/207.41 | (14850) ~ (op(e1, e1) = e0)
% 265.93/207.41 |
% 265.93/207.41 | Using (14849) and (14850) yields:
% 265.93/207.41 | (821) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (14849) op(e1, e1) = e0
% 265.93/207.41 | (551) e2 = e0
% 265.93/207.41 |
% 265.93/207.41 | Equations (551) can reduce 347 to:
% 265.93/207.41 | (366) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (720) ~ (all_0_19_19 = e1)
% 265.93/207.41 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.93/207.41 |
% 265.93/207.41 +-Applying beta-rule and splitting (721), into two cases.
% 265.93/207.41 |-Branch one:
% 265.93/207.41 | (940) all_0_24_24 = e1
% 265.93/207.41 |
% 265.93/207.41 | Equations (940) can reduce 943 to:
% 265.93/207.41 | (366) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (943) ~ (all_0_24_24 = e1)
% 265.93/207.41 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 265.93/207.41 |
% 265.93/207.41 +-Applying beta-rule and splitting (944), into two cases.
% 265.93/207.41 |-Branch one:
% 265.93/207.41 | (945) all_0_29_29 = e1
% 265.93/207.41 |
% 265.93/207.41 | Equations (945) can reduce 952 to:
% 265.93/207.41 | (366) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (952) ~ (all_0_29_29 = e1)
% 265.93/207.41 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 265.93/207.41 |
% 265.93/207.41 +-Applying beta-rule and splitting (953), into two cases.
% 265.93/207.41 |-Branch one:
% 265.93/207.41 | (954) all_0_34_34 = e1
% 265.93/207.41 |
% 265.93/207.41 | From (954) and (13299) follows:
% 265.93/207.41 | (16329) op(e4, e1) = e1
% 265.93/207.41 |
% 265.93/207.41 +-Applying beta-rule and splitting (17518), into two cases.
% 265.93/207.41 |-Branch one:
% 265.93/207.41 | (16330) ~ (op(e4, e1) = e1)
% 265.93/207.41 |
% 265.93/207.41 | Using (16329) and (16330) yields:
% 265.93/207.41 | (821) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (16329) op(e4, e1) = e1
% 265.93/207.41 | (706) e3 = e1
% 265.93/207.41 |
% 265.93/207.41 | Equations (706) can reduce 318 to:
% 265.93/207.41 | (366) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (426) ~ (all_0_34_34 = e1)
% 265.93/207.41 | (377) all_0_39_39 = e1
% 265.93/207.41 |
% 265.93/207.41 | Combining equations (380,377) yields a new equation:
% 265.93/207.41 | (961) e1 = e0
% 265.93/207.41 |
% 265.93/207.41 | Equations (961) can reduce 37 to:
% 265.93/207.41 | (366) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (420) ~ (all_0_23_23 = e1)
% 265.93/207.41 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 265.93/207.41 |
% 265.93/207.41 +-Applying beta-rule and splitting (17548), into two cases.
% 265.93/207.41 |-Branch one:
% 265.93/207.41 | (1041) all_0_28_28 = e1
% 265.93/207.41 |
% 265.93/207.41 | Combining equations (1044,1041) yields a new equation:
% 265.93/207.41 | (961) e1 = e0
% 265.93/207.41 |
% 265.93/207.41 | Equations (961) can reduce 37 to:
% 265.93/207.41 | (366) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (421) ~ (all_0_28_28 = e1)
% 265.93/207.41 | (17553) all_0_33_33 = e1 | all_0_38_38 = e1
% 265.93/207.41 |
% 265.93/207.41 +-Applying beta-rule and splitting (17553), into two cases.
% 265.93/207.41 |-Branch one:
% 265.93/207.41 | (418) all_0_33_33 = e1
% 265.93/207.41 |
% 265.93/207.41 | Combining equations (414,418) yields a new equation:
% 265.93/207.41 | (717) e2 = e1
% 265.93/207.41 |
% 265.93/207.41 | Simplifying 717 yields:
% 265.93/207.41 | (718) e2 = e1
% 265.93/207.41 |
% 265.93/207.41 | Equations (718) can reduce 329 to:
% 265.93/207.41 | (366) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.41 |-Branch two:
% 265.93/207.41 | (507) ~ (all_0_33_33 = e1)
% 265.93/207.41 | (1211) all_0_38_38 = e1
% 265.93/207.41 |
% 265.93/207.41 | Combining equations (1165,1211) yields a new equation:
% 265.93/207.41 | (955) e4 = e1
% 265.93/207.41 |
% 265.93/207.41 | Simplifying 955 yields:
% 265.93/207.41 | (480) e4 = e1
% 265.93/207.41 |
% 265.93/207.41 | Equations (480) can reduce 65 to:
% 265.93/207.41 | (366) $false
% 265.93/207.41 |
% 265.93/207.41 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (560) ~ (all_0_18_18 = e3)
% 265.93/207.42 | (927) all_0_19_19 = e3
% 265.93/207.42 |
% 265.93/207.42 | Equations (927) can reduce 562 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (777) ~ (all_0_37_37 = e3)
% 265.93/207.42 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (1076), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1077) all_0_38_38 = e3
% 265.93/207.42 |
% 265.93/207.42 | Combining equations (1165,1077) yields a new equation:
% 265.93/207.42 | (690) e4 = e3
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 690 yields:
% 265.93/207.42 | (691) e4 = e3
% 265.93/207.42 |
% 265.93/207.42 | Equations (691) can reduce 277 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (1080) ~ (all_0_38_38 = e3)
% 265.93/207.42 | (369) all_0_39_39 = e3
% 265.93/207.42 |
% 265.93/207.42 | Combining equations (369,380) yields a new equation:
% 265.93/207.42 | (979) e3 = e0
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 979 yields:
% 265.93/207.42 | (980) e3 = e0
% 265.93/207.42 |
% 265.93/207.42 | Equations (980) can reduce 88 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (756) ~ (all_0_36_36 = e2)
% 265.93/207.42 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (3571), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1015) all_0_36_36 = e1
% 265.93/207.42 |
% 265.93/207.42 | Equations (1015) can reduce 1593 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (1593) ~ (all_0_36_36 = e1)
% 265.93/207.42 | (1065) all_0_36_36 = e0
% 265.93/207.42 |
% 265.93/207.42 | Equations (1065) can reduce 386 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (1143) ~ (all_0_38_38 = e4)
% 265.93/207.42 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (1168), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1077) all_0_38_38 = e3
% 265.93/207.42 |
% 265.93/207.42 | Equations (1077) can reduce 142 to:
% 265.93/207.42 | (560) ~ (all_0_18_18 = e3)
% 265.93/207.42 |
% 265.93/207.42 | Equations (1077) can reduce 1084 to:
% 265.93/207.42 | (56) ~ (e3 = e2)
% 265.93/207.42 |
% 265.93/207.42 | Equations (1077) can reduce 388 to:
% 265.93/207.42 | (88) ~ (e3 = e0)
% 265.93/207.42 |
% 265.93/207.42 | From (1077) and (312) follows:
% 265.93/207.42 | (17590) op(e3, all_0_34_34) = e1
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (7544), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1287) all_0_16_16 = e3
% 265.93/207.42 |
% 265.93/207.42 | Equations (1287) can reduce 458 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (458) ~ (all_0_16_16 = e3)
% 265.93/207.42 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (7699), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1970) all_0_17_17 = e3
% 265.93/207.42 |
% 265.93/207.42 | Equations (1970) can reduce 74 to:
% 265.93/207.42 | (559) ~ (all_0_18_18 = e3)
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 559 yields:
% 265.93/207.42 | (560) ~ (all_0_18_18 = e3)
% 265.93/207.42 |
% 265.93/207.42 | Equations (1970) can reduce 184 to:
% 265.93/207.42 | (5493) ~ (all_0_22_22 = e3)
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 5493 yields:
% 265.93/207.42 | (774) ~ (all_0_22_22 = e3)
% 265.93/207.42 |
% 265.93/207.42 | Equations (1970) can reduce 869 to:
% 265.93/207.42 | (695) ~ (e4 = e3)
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 695 yields:
% 265.93/207.42 | (277) ~ (e4 = e3)
% 265.93/207.42 |
% 265.93/207.42 | Equations (1970) can reduce 1501 to:
% 265.93/207.42 | (318) ~ (e3 = e1)
% 265.93/207.42 |
% 265.93/207.42 | Instantiating formula (97) with e3, e4, e1, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 265.93/207.42 | (732) all_0_20_20 = e1 | ~ (op(e3, e4) = e1)
% 265.93/207.42 |
% 265.93/207.42 | Instantiating formula (97) with e3, e3, e1, e3 and discharging atoms op(e3, e3) = e3, yields:
% 265.93/207.42 | (17604) e3 = e1 | ~ (op(e3, e3) = e1)
% 265.93/207.42 |
% 265.93/207.42 | Instantiating formula (97) with e3, e1, e1, all_0_23_23 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 265.93/207.42 | (17605) all_0_23_23 = e1 | ~ (op(e3, e1) = e1)
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (228), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (921) all_0_16_16 = e1
% 265.93/207.42 |
% 265.93/207.42 | Equations (921) can reduce 9 to:
% 265.93/207.42 | (2559) ~ (all_0_18_18 = e1)
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 2559 yields:
% 265.93/207.42 | (419) ~ (all_0_18_18 = e1)
% 265.93/207.42 |
% 265.93/207.42 | Equations (921) can reduce 10 to:
% 265.93/207.42 | (1613) ~ (all_0_31_31 = e1)
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 1613 yields:
% 265.93/207.42 | (423) ~ (all_0_31_31 = e1)
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (159), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (787) all_0_30_30 = e1
% 265.93/207.42 |
% 265.93/207.42 | Equations (787) can reduce 422 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (422) ~ (all_0_30_30 = e1)
% 265.93/207.42 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (114), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (472) all_0_15_15 = e2
% 265.93/207.42 |
% 265.93/207.42 | Combining equations (472,464) yields a new equation:
% 265.93/207.42 | (539) e4 = e2
% 265.93/207.42 |
% 265.93/207.42 | Equations (539) can reduce 19 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (447) ~ (all_0_15_15 = e2)
% 265.93/207.42 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (26), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (887) all_0_18_18 = e4
% 265.93/207.42 |
% 265.93/207.42 | Equations (887) can reduce 1046 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (1046) ~ (all_0_18_18 = e4)
% 265.93/207.42 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (259), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1278) all_0_18_18 = e1
% 265.93/207.42 |
% 265.93/207.42 | Equations (1278) can reduce 419 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (419) ~ (all_0_18_18 = e1)
% 265.93/207.42 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (5570), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1010) all_0_31_31 = e1
% 265.93/207.42 |
% 265.93/207.42 | Equations (1010) can reduce 423 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (423) ~ (all_0_31_31 = e1)
% 265.93/207.42 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (8300), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (3952) all_0_23_23 = e1
% 265.93/207.42 |
% 265.93/207.42 | Equations (3952) can reduce 110 to:
% 265.93/207.42 | (419) ~ (all_0_18_18 = e1)
% 265.93/207.42 |
% 265.93/207.42 | Equations (3952) can reduce 810 to:
% 265.93/207.42 | (1002) ~ (e2 = e1)
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 1002 yields:
% 265.93/207.42 | (329) ~ (e2 = e1)
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (1047), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1134) all_0_18_18 = e3
% 265.93/207.42 |
% 265.93/207.42 | Equations (1134) can reduce 560 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (560) ~ (all_0_18_18 = e3)
% 265.93/207.42 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (1270), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1274) all_0_18_18 = e2
% 265.93/207.42 |
% 265.93/207.42 | Equations (1274) can reduce 666 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (666) ~ (all_0_18_18 = e2)
% 265.93/207.42 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (2791), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (697) all_0_16_16 = e2
% 265.93/207.42 |
% 265.93/207.42 | Combining equations (697,921) yields a new equation:
% 265.93/207.42 | (717) e2 = e1
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 717 yields:
% 265.93/207.42 | (718) e2 = e1
% 265.93/207.42 |
% 265.93/207.42 | Equations (718) can reduce 329 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (664) ~ (all_0_16_16 = e2)
% 265.93/207.42 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (1277), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1278) all_0_18_18 = e1
% 265.93/207.42 |
% 265.93/207.42 | Equations (1278) can reduce 419 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (419) ~ (all_0_18_18 = e1)
% 265.93/207.42 | (1153) all_0_18_18 = e0
% 265.93/207.42 |
% 265.93/207.42 | Equations (1153) can reduce 300 to:
% 265.93/207.42 | (885) ~ (all_0_28_28 = e0)
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 885 yields:
% 265.93/207.42 | (886) ~ (all_0_28_28 = e0)
% 265.93/207.42 |
% 265.93/207.42 | Equations (1153) can reduce 666 to:
% 265.93/207.42 | (393) ~ (e2 = e0)
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 393 yields:
% 265.93/207.42 | (347) ~ (e2 = e0)
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (2933), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1980) all_0_17_17 = e2
% 265.93/207.42 |
% 265.93/207.42 | Combining equations (1980,1970) yields a new equation:
% 265.93/207.42 | (764) e3 = e2
% 265.93/207.42 |
% 265.93/207.42 | Equations (764) can reduce 56 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (459) ~ (all_0_17_17 = e2)
% 265.93/207.42 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 265.93/207.42 |
% 265.93/207.42 +-Applying beta-rule and splitting (2937), into two cases.
% 265.93/207.42 |-Branch one:
% 265.93/207.42 | (1274) all_0_18_18 = e2
% 265.93/207.42 |
% 265.93/207.42 | Combining equations (1274,1153) yields a new equation:
% 265.93/207.42 | (836) e2 = e0
% 265.93/207.42 |
% 265.93/207.42 | Simplifying 836 yields:
% 265.93/207.42 | (551) e2 = e0
% 265.93/207.42 |
% 265.93/207.42 | Equations (551) can reduce 347 to:
% 265.93/207.42 | (366) $false
% 265.93/207.42 |
% 265.93/207.42 |-The branch is then unsatisfiable
% 265.93/207.42 |-Branch two:
% 265.93/207.42 | (666) ~ (all_0_18_18 = e2)
% 265.93/207.42 | (663) all_0_19_19 = e2
% 265.93/207.42 |
% 265.93/207.42 | From (663) and (17447) follows:
% 265.93/207.43 | (2624) op(e2, e1) = e0
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (1748), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (2634) ~ (op(e2, e1) = e0)
% 265.93/207.43 |
% 265.93/207.43 | Using (2624) and (2634) yields:
% 265.93/207.43 | (821) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (2624) op(e2, e1) = e0
% 265.93/207.43 | (1044) all_0_28_28 = e0
% 265.93/207.43 |
% 265.93/207.43 | Equations (1044) can reduce 886 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (420) ~ (all_0_23_23 = e1)
% 265.93/207.43 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (5940), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (1587) all_0_32_32 = e1
% 265.93/207.43 |
% 265.93/207.43 | Equations (1587) can reduce 424 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (424) ~ (all_0_32_32 = e1)
% 265.93/207.43 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (5953), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (418) all_0_33_33 = e1
% 265.93/207.43 |
% 265.93/207.43 | Combining equations (414,418) yields a new equation:
% 265.93/207.43 | (717) e2 = e1
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 717 yields:
% 265.93/207.43 | (718) e2 = e1
% 265.93/207.43 |
% 265.93/207.43 | Equations (718) can reduce 329 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (507) ~ (all_0_33_33 = e1)
% 265.93/207.43 | (954) all_0_34_34 = e1
% 265.93/207.43 |
% 265.93/207.43 | From (954) and (17590) follows:
% 265.93/207.43 | (17687) op(e3, e1) = e1
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (17605), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (17688) ~ (op(e3, e1) = e1)
% 265.93/207.43 |
% 265.93/207.43 | Using (17687) and (17688) yields:
% 265.93/207.43 | (821) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (17687) op(e3, e1) = e1
% 265.93/207.43 | (3952) all_0_23_23 = e1
% 265.93/207.43 |
% 265.93/207.43 | Equations (3952) can reduce 420 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (985) ~ (all_0_16_16 = e1)
% 265.93/207.43 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (986), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (526) all_0_21_21 = e1
% 265.93/207.43 |
% 265.93/207.43 | Combining equations (453,526) yields a new equation:
% 265.93/207.43 | (933) e3 = e1
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 933 yields:
% 265.93/207.43 | (706) e3 = e1
% 265.93/207.43 |
% 265.93/207.43 | Equations (706) can reduce 318 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (363) ~ (all_0_21_21 = e1)
% 265.93/207.43 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (998), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (1005) all_0_26_26 = e1
% 265.93/207.43 |
% 265.93/207.43 | Equations (1005) can reduce 1008 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (1008) ~ (all_0_26_26 = e1)
% 265.93/207.43 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (1009), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (1010) all_0_31_31 = e1
% 265.93/207.43 |
% 265.93/207.43 | Equations (1010) can reduce 217 to:
% 265.93/207.43 | (422) ~ (all_0_30_30 = e1)
% 265.93/207.43 |
% 265.93/207.43 | Equations (1010) can reduce 188 to:
% 265.93/207.43 | (425) ~ (all_0_34_34 = e1)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 425 yields:
% 265.93/207.43 | (426) ~ (all_0_34_34 = e1)
% 265.93/207.43 |
% 265.93/207.43 | Equations (1010) can reduce 510 to:
% 265.93/207.43 | (429) ~ (e3 = e1)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 429 yields:
% 265.93/207.43 | (318) ~ (e3 = e1)
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (127), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (790) all_0_30_30 = e0
% 265.93/207.43 |
% 265.93/207.43 | Equations (790) can reduce 116 to:
% 265.93/207.43 | (839) ~ (all_0_20_20 = e0)
% 265.93/207.43 |
% 265.93/207.43 | Equations (790) can reduce 186 to:
% 265.93/207.43 | (2961) ~ (all_0_32_32 = e0)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 2961 yields:
% 265.93/207.43 | (1946) ~ (all_0_32_32 = e0)
% 265.93/207.43 |
% 265.93/207.43 | Equations (790) can reduce 15 to:
% 265.93/207.43 | (2963) ~ (all_0_34_34 = e0)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 2963 yields:
% 265.93/207.43 | (384) ~ (all_0_34_34 = e0)
% 265.93/207.43 |
% 265.93/207.43 | Equations (790) can reduce 509 to:
% 265.93/207.43 | (389) ~ (e4 = e0)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 389 yields:
% 265.93/207.43 | (287) ~ (e4 = e0)
% 265.93/207.43 |
% 265.93/207.43 | Equations (790) can reduce 422 to:
% 265.93/207.43 | (395) ~ (e1 = e0)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 395 yields:
% 265.93/207.43 | (37) ~ (e1 = e0)
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (231), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (1453) all_0_20_20 = e4
% 265.93/207.43 |
% 265.93/207.43 | Equations (1453) can reduce 496 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (496) ~ (all_0_20_20 = e4)
% 265.93/207.43 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (2301), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (903) all_0_20_20 = e3
% 265.93/207.43 |
% 265.93/207.43 | Equations (903) can reduce 564 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (564) ~ (all_0_20_20 = e3)
% 265.93/207.43 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (2305), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (736) all_0_20_20 = e2
% 265.93/207.43 |
% 265.93/207.43 | Equations (736) can reduce 211 to:
% 265.93/207.43 | (737) ~ (all_0_22_22 = e2)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 737 yields:
% 265.93/207.43 | (493) ~ (all_0_22_22 = e2)
% 265.93/207.43 |
% 265.93/207.43 | Equations (736) can reduce 496 to:
% 265.93/207.43 | (444) ~ (e4 = e2)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 444 yields:
% 265.93/207.43 | (19) ~ (e4 = e2)
% 265.93/207.43 |
% 265.93/207.43 | Equations (736) can reduce 564 to:
% 265.93/207.43 | (658) ~ (e3 = e2)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 658 yields:
% 265.93/207.43 | (56) ~ (e3 = e2)
% 265.93/207.43 |
% 265.93/207.43 | Equations (736) can reduce 1409 to:
% 265.93/207.43 | (329) ~ (e2 = e1)
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (222), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (823) all_0_17_17 = e0
% 265.93/207.43 |
% 265.93/207.43 | Combining equations (823,1970) yields a new equation:
% 265.93/207.43 | (980) e3 = e0
% 265.93/207.43 |
% 265.93/207.43 | Equations (980) can reduce 88 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (2422) ~ (all_0_17_17 = e0)
% 265.93/207.43 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (111), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (468) all_0_15_15 = e3
% 265.93/207.43 |
% 265.93/207.43 | Combining equations (468,464) yields a new equation:
% 265.93/207.43 | (691) e4 = e3
% 265.93/207.43 |
% 265.93/207.43 | Equations (691) can reduce 277 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (433) ~ (all_0_15_15 = e3)
% 265.93/207.43 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (261), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (1229) all_0_32_32 = e4
% 265.93/207.43 |
% 265.93/207.43 | Equations (1229) can reduce 199 to:
% 265.93/207.43 | (2206) ~ (all_0_34_34 = e4)
% 265.93/207.43 |
% 265.93/207.43 | Simplifying 2206 yields:
% 265.93/207.43 | (1395) ~ (all_0_34_34 = e4)
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (83), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (723) all_0_34_34 = e4
% 265.93/207.43 |
% 265.93/207.43 | Equations (723) can reduce 1395 to:
% 265.93/207.43 | (366) $false
% 265.93/207.43 |
% 265.93/207.43 |-The branch is then unsatisfiable
% 265.93/207.43 |-Branch two:
% 265.93/207.43 | (1395) ~ (all_0_34_34 = e4)
% 265.93/207.43 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.93/207.43 |
% 265.93/207.43 +-Applying beta-rule and splitting (1396), into two cases.
% 265.93/207.43 |-Branch one:
% 265.93/207.43 | (1027) all_0_34_34 = e3
% 265.93/207.43 |
% 265.93/207.43 | Equations (1027) can reduce 426 to:
% 265.93/207.43 | (318) ~ (e3 = e1)
% 265.93/207.43 |
% 265.93/207.43 | From (1027) and (17590) follows:
% 265.93/207.44 | (14948) op(e3, e3) = e1
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (17604), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (17757) ~ (op(e3, e3) = e1)
% 265.93/207.44 |
% 265.93/207.44 | Using (14948) and (17757) yields:
% 265.93/207.44 | (821) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (14948) op(e3, e3) = e1
% 265.93/207.44 | (706) e3 = e1
% 265.93/207.44 |
% 265.93/207.44 | Equations (706) can reduce 318 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (1031) ~ (all_0_34_34 = e3)
% 265.93/207.44 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (1709), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (1110) all_0_34_34 = e2
% 265.93/207.44 |
% 265.93/207.44 | Equations (1110) can reduce 672 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (672) ~ (all_0_34_34 = e2)
% 265.93/207.44 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (1713), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (954) all_0_34_34 = e1
% 265.93/207.44 |
% 265.93/207.44 | Equations (954) can reduce 426 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (426) ~ (all_0_34_34 = e1)
% 265.93/207.44 | (1717) all_0_34_34 = e0
% 265.93/207.44 |
% 265.93/207.44 | Equations (1717) can reduce 384 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (727) ~ (all_0_32_32 = e4)
% 265.93/207.44 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (203), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (1980) all_0_17_17 = e2
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (1980,1970) yields a new equation:
% 265.93/207.44 | (764) e3 = e2
% 265.93/207.44 |
% 265.93/207.44 | Equations (764) can reduce 56 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (459) ~ (all_0_17_17 = e2)
% 265.93/207.44 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 265.93/207.44 |
% 265.93/207.44 | Equations (1970) can reduce 459 to:
% 265.93/207.44 | (56) ~ (e3 = e2)
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (7536), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (903) all_0_20_20 = e3
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (903,736) yields a new equation:
% 265.93/207.44 | (3874) e3 = e2
% 265.93/207.44 |
% 265.93/207.44 | Simplifying 3874 yields:
% 265.93/207.44 | (764) e3 = e2
% 265.93/207.44 |
% 265.93/207.44 | Equations (764) can reduce 56 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (564) ~ (all_0_20_20 = e3)
% 265.93/207.44 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (2515), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (847) all_0_22_22 = e0
% 265.93/207.44 |
% 265.93/207.44 | Equations (847) can reduce 774 to:
% 265.93/207.44 | (391) ~ (e3 = e0)
% 265.93/207.44 |
% 265.93/207.44 | Simplifying 391 yields:
% 265.93/207.44 | (88) ~ (e3 = e0)
% 265.93/207.44 |
% 265.93/207.44 | Equations (847) can reduce 493 to:
% 265.93/207.44 | (393) ~ (e2 = e0)
% 265.93/207.44 |
% 265.93/207.44 | Simplifying 393 yields:
% 265.93/207.44 | (347) ~ (e2 = e0)
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (15439), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (917) all_0_22_22 = e2
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (847,917) yields a new equation:
% 265.93/207.44 | (551) e2 = e0
% 265.93/207.44 |
% 265.93/207.44 | Equations (551) can reduce 347 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (493) ~ (all_0_22_22 = e2)
% 265.93/207.44 | (16070) all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (16070), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (443) all_0_27_27 = e2
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (543,443) yields a new equation:
% 265.93/207.44 | (718) e2 = e1
% 265.93/207.44 |
% 265.93/207.44 | Equations (718) can reduce 329 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (500) ~ (all_0_27_27 = e2)
% 265.93/207.44 | (16095) all_0_32_32 = e2 | all_0_37_37 = e2
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (16095), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (1101) all_0_32_32 = e2
% 265.93/207.44 |
% 265.93/207.44 | Equations (1101) can reduce 508 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (508) ~ (all_0_32_32 = e2)
% 265.93/207.44 | (805) all_0_37_37 = e2
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (8890), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (2438) all_0_25_25 = e3
% 265.93/207.44 |
% 265.93/207.44 | Equations (2438) can reduce 501 to:
% 265.93/207.44 | (695) ~ (e4 = e3)
% 265.93/207.44 |
% 265.93/207.44 | Simplifying 695 yields:
% 265.93/207.44 | (277) ~ (e4 = e3)
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (59), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (865) all_0_17_17 = e4
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (865,1970) yields a new equation:
% 265.93/207.44 | (690) e4 = e3
% 265.93/207.44 |
% 265.93/207.44 | Simplifying 690 yields:
% 265.93/207.44 | (691) e4 = e3
% 265.93/207.44 |
% 265.93/207.44 | Equations (691) can reduce 277 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (869) ~ (all_0_17_17 = e4)
% 265.93/207.44 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (1148), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (831) all_0_22_22 = e4
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (847,831) yields a new equation:
% 265.93/207.44 | (490) e4 = e0
% 265.93/207.44 |
% 265.93/207.44 | Equations (490) can reduce 287 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (576) ~ (all_0_22_22 = e4)
% 265.93/207.44 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (1152), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (435) all_0_27_27 = e4
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (543,435) yields a new equation:
% 265.93/207.44 | (480) e4 = e1
% 265.93/207.44 |
% 265.93/207.44 | Equations (480) can reduce 65 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (404) ~ (all_0_27_27 = e4)
% 265.93/207.44 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (1222), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (1229) all_0_32_32 = e4
% 265.93/207.44 |
% 265.93/207.44 | Equations (1229) can reduce 727 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (727) ~ (all_0_32_32 = e4)
% 265.93/207.44 | (1232) all_0_37_37 = e4
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (805,1232) yields a new equation:
% 265.93/207.44 | (539) e4 = e2
% 265.93/207.44 |
% 265.93/207.44 | Equations (539) can reduce 19 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (566) ~ (all_0_25_25 = e3)
% 265.93/207.44 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (8920), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (759) all_0_30_30 = e3
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (790,759) yields a new equation:
% 265.93/207.44 | (980) e3 = e0
% 265.93/207.44 |
% 265.93/207.44 | Equations (980) can reduce 88 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (568) ~ (all_0_30_30 = e3)
% 265.93/207.44 | (814) all_0_35_35 = e3
% 265.93/207.44 |
% 265.93/207.44 | Combining equations (1196,814) yields a new equation:
% 265.93/207.44 | (706) e3 = e1
% 265.93/207.44 |
% 265.93/207.44 | Equations (706) can reduce 318 to:
% 265.93/207.44 | (366) $false
% 265.93/207.44 |
% 265.93/207.44 |-The branch is then unsatisfiable
% 265.93/207.44 |-Branch two:
% 265.93/207.44 | (826) ~ (all_0_22_22 = e0)
% 265.93/207.44 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 265.93/207.44 |
% 265.93/207.44 +-Applying beta-rule and splitting (3101), into two cases.
% 265.93/207.44 |-Branch one:
% 265.93/207.44 | (546) all_0_27_27 = e0
% 265.93/207.45 |
% 265.93/207.45 | Combining equations (543,546) yields a new equation:
% 265.93/207.45 | (960) e1 = e0
% 265.93/207.45 |
% 265.93/207.45 | Simplifying 960 yields:
% 265.93/207.45 | (961) e1 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (961) can reduce 37 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (434) ~ (all_0_27_27 = e0)
% 265.93/207.45 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (3107), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1626) all_0_32_32 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (1626) can reduce 1946 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1946) ~ (all_0_32_32 = e0)
% 265.93/207.45 | (3111) all_0_37_37 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (3111) can reduce 387 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1114) ~ (all_0_20_20 = e2)
% 265.93/207.45 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (2309), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1175) all_0_20_20 = e1
% 265.93/207.45 |
% 265.93/207.45 | Equations (1175) can reduce 1409 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1409) ~ (all_0_20_20 = e1)
% 265.93/207.45 | (835) all_0_20_20 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (835) can reduce 839 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1878) ~ (all_0_30_30 = e0)
% 265.93/207.45 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (239), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (768) all_0_30_30 = e4
% 265.93/207.45 |
% 265.93/207.45 | Equations (768) can reduce 509 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (509) ~ (all_0_30_30 = e4)
% 265.93/207.45 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (771), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (759) all_0_30_30 = e3
% 265.93/207.45 |
% 265.93/207.45 | Equations (759) can reduce 15 to:
% 265.93/207.45 | (2981) ~ (all_0_34_34 = e3)
% 265.93/207.45 |
% 265.93/207.45 | Simplifying 2981 yields:
% 265.93/207.45 | (1031) ~ (all_0_34_34 = e3)
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (83), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (723) all_0_34_34 = e4
% 265.93/207.45 |
% 265.93/207.45 | From (723) and (17590) follows:
% 265.93/207.45 | (1171) op(e3, e4) = e1
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (732), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1172) ~ (op(e3, e4) = e1)
% 265.93/207.45 |
% 265.93/207.45 | Using (1171) and (1172) yields:
% 265.93/207.45 | (821) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1171) op(e3, e4) = e1
% 265.93/207.45 | (1175) all_0_20_20 = e1
% 265.93/207.45 |
% 265.93/207.45 | Equations (1175) can reduce 1409 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1395) ~ (all_0_34_34 = e4)
% 265.93/207.45 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (1879), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1060) all_0_31_31 = e0
% 265.93/207.45 |
% 265.93/207.45 | Combining equations (1010,1060) yields a new equation:
% 265.93/207.45 | (960) e1 = e0
% 265.93/207.45 |
% 265.93/207.45 | Simplifying 960 yields:
% 265.93/207.45 | (961) e1 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (961) can reduce 37 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1064) ~ (all_0_31_31 = e0)
% 265.93/207.45 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (1883), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1626) all_0_32_32 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (1626) can reduce 199 to:
% 265.93/207.45 | (2963) ~ (all_0_34_34 = e0)
% 265.93/207.45 |
% 265.93/207.45 | Simplifying 2963 yields:
% 265.93/207.45 | (384) ~ (all_0_34_34 = e0)
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (1396), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1027) all_0_34_34 = e3
% 265.93/207.45 |
% 265.93/207.45 | Equations (1027) can reduce 1031 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1031) ~ (all_0_34_34 = e3)
% 265.93/207.45 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (1709), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1110) all_0_34_34 = e2
% 265.93/207.45 |
% 265.93/207.45 | Equations (1110) can reduce 672 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (672) ~ (all_0_34_34 = e2)
% 265.93/207.45 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (1713), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (954) all_0_34_34 = e1
% 265.93/207.45 |
% 265.93/207.45 | Equations (954) can reduce 426 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (426) ~ (all_0_34_34 = e1)
% 265.93/207.45 | (1717) all_0_34_34 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (1717) can reduce 384 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1946) ~ (all_0_32_32 = e0)
% 265.93/207.45 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (1947), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1254) all_0_33_33 = e0
% 265.93/207.45 |
% 265.93/207.45 | Combining equations (414,1254) yields a new equation:
% 265.93/207.45 | (836) e2 = e0
% 265.93/207.45 |
% 265.93/207.45 | Simplifying 836 yields:
% 265.93/207.45 | (551) e2 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (551) can reduce 347 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (399) ~ (all_0_33_33 = e0)
% 265.93/207.45 | (1717) all_0_34_34 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (1717) can reduce 384 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (568) ~ (all_0_30_30 = e3)
% 265.93/207.45 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (782), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (747) all_0_30_30 = e2
% 265.93/207.45 |
% 265.93/207.45 | Equations (747) can reduce 740 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (740) ~ (all_0_30_30 = e2)
% 265.93/207.45 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (786), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (787) all_0_30_30 = e1
% 265.93/207.45 |
% 265.93/207.45 | Equations (787) can reduce 422 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (422) ~ (all_0_30_30 = e1)
% 265.93/207.45 | (790) all_0_30_30 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (790) can reduce 1878 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (423) ~ (all_0_31_31 = e1)
% 265.93/207.45 | (1015) all_0_36_36 = e1
% 265.93/207.45 |
% 265.93/207.45 | Equations (1015) can reduce 1593 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (558) ~ (all_0_17_17 = e3)
% 265.93/207.45 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (7722), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1134) all_0_18_18 = e3
% 265.93/207.45 |
% 265.93/207.45 | Equations (1134) can reduce 560 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (560) ~ (all_0_18_18 = e3)
% 265.93/207.45 | (927) all_0_19_19 = e3
% 265.93/207.45 |
% 265.93/207.45 | Equations (927) can reduce 562 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1080) ~ (all_0_38_38 = e3)
% 265.93/207.45 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (1206), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (809) all_0_38_38 = e2
% 265.93/207.45 |
% 265.93/207.45 | Equations (809) can reduce 1084 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1084) ~ (all_0_38_38 = e2)
% 265.93/207.45 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (1210), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (1211) all_0_38_38 = e1
% 265.93/207.45 |
% 265.93/207.45 | Equations (1211) can reduce 428 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (428) ~ (all_0_38_38 = e1)
% 265.93/207.45 | (1214) all_0_38_38 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (1214) can reduce 388 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (1177) ~ (all_0_35_35 = e1)
% 265.93/207.45 | (1203) all_0_35_35 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (1203) can reduce 385 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (460) ~ (all_0_15_15 = e4)
% 265.93/207.45 | (467) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (467), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (468) all_0_15_15 = e3
% 265.93/207.45 |
% 265.93/207.45 | Equations (468) can reduce 433 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (433) ~ (all_0_15_15 = e3)
% 265.93/207.45 | (471) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (471), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (472) all_0_15_15 = e2
% 265.93/207.45 |
% 265.93/207.45 | Equations (472) can reduce 447 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (447) ~ (all_0_15_15 = e2)
% 265.93/207.45 | (475) all_0_15_15 = e1 | all_0_15_15 = e0
% 265.93/207.45 |
% 265.93/207.45 +-Applying beta-rule and splitting (475), into two cases.
% 265.93/207.45 |-Branch one:
% 265.93/207.45 | (476) all_0_15_15 = e1
% 265.93/207.45 |
% 265.93/207.45 | Equations (476) can reduce 482 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (482) ~ (all_0_15_15 = e1)
% 265.93/207.45 | (483) all_0_15_15 = e0
% 265.93/207.45 |
% 265.93/207.45 | Equations (483) can reduce 463 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (468) all_0_15_15 = e3
% 265.93/207.45 | (633) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 265.93/207.45 |
% 265.93/207.45 | From (468)(468) and (53) follows:
% 265.93/207.45 | (571) op(e3, e3) = e4
% 265.93/207.45 |
% 265.93/207.45 | Instantiating formula (97) with e3, e3, e4, e3 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 265.93/207.45 | (691) e4 = e3
% 265.93/207.45 |
% 265.93/207.45 | Equations (691) can reduce 277 to:
% 265.93/207.45 | (366) $false
% 265.93/207.45 |
% 265.93/207.45 |-The branch is then unsatisfiable
% 265.93/207.45 |-Branch two:
% 265.93/207.45 | (483) all_0_15_15 = e0
% 265.93/207.45 | (17965) (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 265.93/207.45 |
% 265.93/207.45 | From (483)(483) and (53) follows:
% 265.93/207.45 | (489) op(e0, e0) = e4
% 265.93/207.45 |
% 265.93/207.45 | Instantiating formula (97) with e0, e0, e4, e0 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields:
% 265.93/207.45 | (490) e4 = e0
% 265.93/207.46 |
% 265.93/207.46 | Equations (490) can reduce 287 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (494) ~ (all_0_21_21 = e3)
% 265.93/207.46 | (521) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (521), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (522) all_0_21_21 = e2
% 265.93/207.46 |
% 265.93/207.46 | Equations (522) can reduce 361 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (361) ~ (all_0_21_21 = e2)
% 265.93/207.46 | (525) all_0_21_21 = e1 | all_0_21_21 = e0
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (525), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (526) all_0_21_21 = e1
% 265.93/207.46 |
% 265.93/207.46 | Equations (526) can reduce 363 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (363) ~ (all_0_21_21 = e1)
% 265.93/207.46 | (529) all_0_21_21 = e0
% 265.93/207.46 |
% 265.93/207.46 | Equations (529) can reduce 398 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (449) all_0_21_21 = e4
% 265.93/207.46 | (617) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 307 to:
% 265.93/207.46 | (573) ~ (all_0_16_16 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 71 to:
% 265.93/207.46 | (496) ~ (all_0_20_20 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 339 to:
% 265.93/207.46 | (575) ~ (all_0_22_22 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 575 yields:
% 265.93/207.46 | (576) ~ (all_0_22_22 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 194 to:
% 265.93/207.46 | (577) ~ (all_0_23_23 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 577 yields:
% 265.93/207.46 | (578) ~ (all_0_23_23 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 180 to:
% 265.93/207.46 | (579) ~ (all_0_24_24 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 579 yields:
% 265.93/207.46 | (580) ~ (all_0_24_24 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 265 to:
% 265.93/207.46 | (581) ~ (all_0_26_26 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 581 yields:
% 265.93/207.46 | (582) ~ (all_0_26_26 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 255 to:
% 265.93/207.46 | (583) ~ (all_0_31_31 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 583 yields:
% 265.93/207.46 | (584) ~ (all_0_31_31 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 150 to:
% 265.93/207.46 | (585) ~ (all_0_36_36 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 585 yields:
% 265.93/207.46 | (586) ~ (all_0_36_36 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 361 to:
% 265.93/207.46 | (19) ~ (e4 = e2)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 363 to:
% 265.93/207.46 | (65) ~ (e4 = e1)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 398 to:
% 265.93/207.46 | (287) ~ (e4 = e0)
% 265.93/207.46 |
% 265.93/207.46 | From (449)(449) and (138) follows:
% 265.93/207.46 | (533) op(e4, e4) = e3
% 265.93/207.46 |
% 265.93/207.46 | Instantiating formula (97) with e4, e4, e3, all_0_15_15 and discharging atoms op(e4, e4) = all_0_15_15, op(e4, e4) = e3, yields:
% 265.93/207.46 | (468) all_0_15_15 = e3
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 351 to:
% 265.93/207.46 | (555) ~ (all_0_16_16 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 555 yields:
% 265.93/207.46 | (458) ~ (all_0_16_16 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 66 to:
% 265.93/207.46 | (557) ~ (all_0_17_17 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 557 yields:
% 265.93/207.46 | (558) ~ (all_0_17_17 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 344 to:
% 265.93/207.46 | (559) ~ (all_0_18_18 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 559 yields:
% 265.93/207.46 | (560) ~ (all_0_18_18 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 190 to:
% 265.93/207.46 | (561) ~ (all_0_19_19 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 561 yields:
% 265.93/207.46 | (562) ~ (all_0_19_19 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 146 to:
% 265.93/207.46 | (563) ~ (all_0_20_20 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 563 yields:
% 265.93/207.46 | (564) ~ (all_0_20_20 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 52 to:
% 265.93/207.46 | (565) ~ (all_0_25_25 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 565 yields:
% 265.93/207.46 | (566) ~ (all_0_25_25 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 84 to:
% 265.93/207.46 | (567) ~ (all_0_30_30 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 567 yields:
% 265.93/207.46 | (568) ~ (all_0_30_30 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 157 to:
% 265.93/207.46 | (569) ~ (all_0_35_35 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 569 yields:
% 265.93/207.46 | (570) ~ (all_0_35_35 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 447 to:
% 265.93/207.46 | (56) ~ (e3 = e2)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 482 to:
% 265.93/207.46 | (318) ~ (e3 = e1)
% 265.93/207.46 |
% 265.93/207.46 | From (468)(468) and (53) follows:
% 265.93/207.46 | (571) op(e3, e3) = e4
% 265.93/207.46 |
% 265.93/207.46 | From (468) and (218) follows:
% 265.93/207.46 | (533) op(e4, e4) = e3
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (144), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (448) ~ (all_0_21_21 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 448 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (449) all_0_21_21 = e4
% 265.93/207.46 | (629) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (291), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (448) ~ (all_0_21_21 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 448 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (449) all_0_21_21 = e4
% 265.93/207.46 | (532) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (43), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (448) ~ (all_0_21_21 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 448 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (449) all_0_21_21 = e4
% 265.93/207.46 | (593) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (102), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (433) ~ (all_0_15_15 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 433 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (468) all_0_15_15 = e3
% 265.93/207.46 | (633) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (42), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (448) ~ (all_0_21_21 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 448 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (449) all_0_21_21 = e4
% 265.93/207.46 | (601) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (316), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (433) ~ (all_0_15_15 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 433 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (468) all_0_15_15 = e3
% 265.93/207.46 | (621) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (292), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (448) ~ (all_0_21_21 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (449) can reduce 448 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (449) all_0_21_21 = e4
% 265.93/207.46 | (609) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (317), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (433) ~ (all_0_15_15 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 433 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (468) all_0_15_15 = e3
% 265.93/207.46 | (605) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (213), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (433) ~ (all_0_15_15 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 433 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (468) all_0_15_15 = e3
% 265.93/207.46 | (597) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (101), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (433) ~ (all_0_15_15 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 433 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (468) all_0_15_15 = e3
% 265.93/207.46 | (613) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (212), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (433) ~ (all_0_15_15 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (468) can reduce 433 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (468) all_0_15_15 = e3
% 265.93/207.46 | (554) (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_16_16, all_0_16_16) = all_0_10_10)))
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (279), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (873) all_0_16_16 = e0
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 169 to:
% 265.93/207.46 | (5572) ~ (all_0_17_17 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 5572 yields:
% 265.93/207.46 | (2422) ~ (all_0_17_17 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 9 to:
% 265.93/207.46 | (3378) ~ (all_0_18_18 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 3378 yields:
% 265.93/207.46 | (1156) ~ (all_0_18_18 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 236 to:
% 265.93/207.46 | (5576) ~ (all_0_19_19 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 5576 yields:
% 265.93/207.46 | (381) ~ (all_0_19_19 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 139 to:
% 265.93/207.46 | (2897) ~ (all_0_26_26 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 2897 yields:
% 265.93/207.46 | (1058) ~ (all_0_26_26 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 10 to:
% 265.93/207.46 | (1856) ~ (all_0_31_31 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 1856 yields:
% 265.93/207.46 | (1064) ~ (all_0_31_31 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 64 to:
% 265.93/207.46 | (3457) ~ (all_0_36_36 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 3457 yields:
% 265.93/207.46 | (386) ~ (all_0_36_36 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 573 to:
% 265.93/207.46 | (389) ~ (e4 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 389 yields:
% 265.93/207.46 | (287) ~ (e4 = e0)
% 265.93/207.46 |
% 265.93/207.46 | From (873) and (124) follows:
% 265.93/207.46 | (5586) op(e0, all_0_20_20) = e3
% 265.93/207.46 |
% 265.93/207.46 | From (873) and (40) follows:
% 265.93/207.46 | (5587) op(all_0_20_20, e0) = e4
% 265.93/207.46 |
% 265.93/207.46 | From (873) and (20) follows:
% 265.93/207.46 | (1314) op(e4, e3) = e0
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (605), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (679) all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2)
% 265.93/207.46 |
% 265.93/207.46 | Applying alpha-rule on (679) yields:
% 265.93/207.46 | (680) all_0_11_11 = all_0_16_16
% 265.93/207.46 | (664) ~ (all_0_16_16 = e2)
% 265.93/207.46 |
% 265.93/207.46 | Combining equations (873,680) yields a new equation:
% 265.93/207.46 | (6780) all_0_11_11 = e0
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 664 to:
% 265.93/207.46 | (393) ~ (e2 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 393 yields:
% 265.93/207.46 | (347) ~ (e2 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Instantiating formula (97) with e0, e0, e4, e0 and discharging atoms op(e0, e0) = e0, yields:
% 265.93/207.46 | (13612) e4 = e0 | ~ (op(e0, e0) = e4)
% 265.93/207.46 |
% 265.93/207.46 | Instantiating formula (97) with e0, e2, e3, all_0_37_37 and discharging atoms op(e0, e2) = all_0_37_37, yields:
% 265.93/207.46 | (18090) all_0_37_37 = e3 | ~ (op(e0, e2) = e3)
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (228), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (921) all_0_16_16 = e1
% 265.93/207.46 |
% 265.93/207.46 | Combining equations (873,921) yields a new equation:
% 265.93/207.46 | (961) e1 = e0
% 265.93/207.46 |
% 265.93/207.46 | Equations (961) can reduce 37 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (985) ~ (all_0_16_16 = e1)
% 265.93/207.46 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 265.93/207.46 |
% 265.93/207.46 | Equations (873) can reduce 985 to:
% 265.93/207.46 | (395) ~ (e1 = e0)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 395 yields:
% 265.93/207.46 | (37) ~ (e1 = e0)
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (222), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (823) all_0_17_17 = e0
% 265.93/207.46 |
% 265.93/207.46 | Equations (823) can reduce 2422 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (2422) ~ (all_0_17_17 = e0)
% 265.93/207.46 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (240), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (865) all_0_17_17 = e4
% 265.93/207.46 |
% 265.93/207.46 | Equations (865) can reduce 74 to:
% 265.93/207.46 | (1493) ~ (all_0_18_18 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 1493 yields:
% 265.93/207.46 | (1046) ~ (all_0_18_18 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (865) can reduce 333 to:
% 265.93/207.46 | (6514) ~ (all_0_19_19 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 6514 yields:
% 265.93/207.46 | (714) ~ (all_0_19_19 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (865) can reduce 132 to:
% 265.93/207.46 | (3299) ~ (all_0_37_37 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Simplifying 3299 yields:
% 265.93/207.46 | (2658) ~ (all_0_37_37 = e4)
% 265.93/207.46 |
% 265.93/207.46 | Equations (865) can reduce 558 to:
% 265.93/207.46 | (277) ~ (e4 = e3)
% 265.93/207.46 |
% 265.93/207.46 | Equations (865) can reduce 2422 to:
% 265.93/207.46 | (287) ~ (e4 = e0)
% 265.93/207.46 |
% 265.93/207.46 | From (865) and (49) follows:
% 265.93/207.46 | (5082) op(all_0_25_25, e4) = e4
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (26), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.46 | (887) all_0_18_18 = e4
% 265.93/207.46 |
% 265.93/207.46 | Equations (887) can reduce 1046 to:
% 265.93/207.46 | (366) $false
% 265.93/207.46 |
% 265.93/207.46 |-The branch is then unsatisfiable
% 265.93/207.46 |-Branch two:
% 265.93/207.46 | (1046) ~ (all_0_18_18 = e4)
% 265.93/207.46 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.93/207.46 |
% 265.93/207.46 +-Applying beta-rule and splitting (1047), into two cases.
% 265.93/207.46 |-Branch one:
% 265.93/207.47 | (1134) all_0_18_18 = e3
% 265.93/207.47 |
% 265.93/207.47 | Equations (1134) can reduce 560 to:
% 265.93/207.47 | (366) $false
% 265.93/207.47 |
% 265.93/207.47 |-The branch is then unsatisfiable
% 265.93/207.47 |-Branch two:
% 265.93/207.47 | (560) ~ (all_0_18_18 = e3)
% 265.93/207.47 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 265.93/207.47 |
% 265.93/207.47 +-Applying beta-rule and splitting (1270), into two cases.
% 265.93/207.47 |-Branch one:
% 265.93/207.47 | (1274) all_0_18_18 = e2
% 265.93/207.47 |
% 265.93/207.47 | Equations (1274) can reduce 666 to:
% 265.93/207.47 | (366) $false
% 265.93/207.47 |
% 265.93/207.47 |-The branch is then unsatisfiable
% 265.93/207.47 |-Branch two:
% 265.93/207.47 | (666) ~ (all_0_18_18 = e2)
% 265.93/207.47 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 265.93/207.47 |
% 265.93/207.47 +-Applying beta-rule and splitting (1277), into two cases.
% 265.93/207.47 |-Branch one:
% 265.93/207.47 | (1278) all_0_18_18 = e1
% 265.93/207.47 |
% 265.93/207.47 | Equations (1278) can reduce 337 to:
% 265.93/207.47 | (5458) ~ (all_0_19_19 = e1)
% 265.93/207.47 |
% 265.93/207.47 | Simplifying 5458 yields:
% 265.93/207.47 | (720) ~ (all_0_19_19 = e1)
% 265.93/207.47 |
% 265.93/207.47 | Equations (1278) can reduce 300 to:
% 265.93/207.47 | (4011) ~ (all_0_28_28 = e1)
% 265.93/207.47 |
% 265.93/207.47 | Simplifying 4011 yields:
% 265.93/207.47 | (421) ~ (all_0_28_28 = e1)
% 265.93/207.47 |
% 265.93/207.47 | Equations (1278) can reduce 142 to:
% 265.93/207.47 | (427) ~ (all_0_38_38 = e1)
% 265.93/207.47 |
% 265.93/207.47 | Simplifying 427 yields:
% 265.93/207.47 | (428) ~ (all_0_38_38 = e1)
% 265.93/207.47 |
% 265.93/207.47 | Equations (1278) can reduce 1046 to:
% 265.93/207.47 | (477) ~ (e4 = e1)
% 265.93/207.47 |
% 265.93/207.47 | Simplifying 477 yields:
% 265.93/207.47 | (65) ~ (e4 = e1)
% 265.93/207.47 |
% 265.93/207.47 | From (1278) and (238) follows:
% 265.93/207.47 | (18133) op(e1, all_0_30_30) = e1
% 265.93/207.47 |
% 265.93/207.47 +-Applying beta-rule and splitting (225), into two cases.
% 265.93/207.47 |-Branch one:
% 265.93/207.47 | (711) all_0_19_19 = e4
% 265.93/207.47 |
% 265.93/207.47 | Equations (711) can reduce 714 to:
% 265.93/207.47 | (366) $false
% 265.93/207.47 |
% 265.93/207.47 |-The branch is then unsatisfiable
% 265.93/207.47 |-Branch two:
% 265.93/207.47 | (714) ~ (all_0_19_19 = e4)
% 265.93/207.47 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 265.93/207.47 |
% 265.93/207.47 +-Applying beta-rule and splitting (4311), into two cases.
% 265.93/207.47 |-Branch one:
% 265.93/207.47 | (927) all_0_19_19 = e3
% 265.93/207.47 |
% 265.93/207.47 | Equations (927) can reduce 562 to:
% 265.93/207.47 | (366) $false
% 265.93/207.47 |
% 265.93/207.47 |-The branch is then unsatisfiable
% 265.93/207.47 |-Branch two:
% 265.93/207.47 | (562) ~ (all_0_19_19 = e3)
% 265.93/207.47 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 265.93/207.47 |
% 265.93/207.47 +-Applying beta-rule and splitting (4315), into two cases.
% 265.93/207.47 |-Branch one:
% 265.93/207.47 | (663) all_0_19_19 = e2
% 265.93/207.47 |
% 265.93/207.47 | Equations (663) can reduce 87 to:
% 265.93/207.47 | (667) ~ (all_0_24_24 = e2)
% 265.93/207.47 |
% 265.93/207.47 | Simplifying 667 yields:
% 265.93/207.47 | (668) ~ (all_0_24_24 = e2)
% 265.93/207.47 |
% 265.93/207.47 | Equations (663) can reduce 229 to:
% 265.93/207.47 | (650) ~ (all_0_29_29 = e2)
% 265.93/207.47 |
% 265.93/207.47 | Simplifying 650 yields:
% 265.93/207.47 | (651) ~ (all_0_29_29 = e2)
% 265.93/207.47 |
% 265.93/207.47 | Equations (663) can reduce 714 to:
% 265.93/207.47 | (444) ~ (e4 = e2)
% 265.93/207.47 |
% 265.93/207.47 | Simplifying 444 yields:
% 265.93/207.47 | (19) ~ (e4 = e2)
% 265.93/207.47 |
% 265.93/207.47 | Equations (663) can reduce 720 to:
% 265.93/207.47 | (329) ~ (e2 = e1)
% 265.93/207.47 |
% 265.93/207.47 | Equations (663) can reduce 381 to:
% 265.93/207.47 | (347) ~ (e2 = e0)
% 265.93/207.47 |
% 265.93/207.47 | From (663) and (332) follows:
% 265.93/207.47 | (676) op(e2, all_0_35_35) = e0
% 265.93/207.47 |
% 265.93/207.47 | From (663) and (67) follows:
% 265.93/207.47 | (678) op(e4, e0) = e2
% 265.93/207.47 |
% 265.93/207.47 +-Applying beta-rule and splitting (621), into two cases.
% 265.93/207.47 |-Branch one:
% 265.93/207.47 | (18153) all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)
% 265.93/207.47 |
% 266.15/207.47 | Applying alpha-rule on (18153) yields:
% 266.15/207.47 | (680) all_0_11_11 = all_0_16_16
% 266.15/207.47 | (824) ~ (all_0_16_16 = e0)
% 266.15/207.47 |
% 266.15/207.47 | Combining equations (680,6780) yields a new equation:
% 266.15/207.47 | (18156) all_0_16_16 = e0
% 266.15/207.47 |
% 266.15/207.47 | Simplifying 18156 yields:
% 266.15/207.47 | (873) all_0_16_16 = e0
% 266.15/207.47 |
% 266.15/207.47 | Equations (873) can reduce 824 to:
% 266.15/207.47 | (366) $false
% 266.15/207.47 |
% 266.15/207.47 |-The branch is then unsatisfiable
% 266.15/207.47 |-Branch two:
% 266.15/207.47 | (18159) all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10))
% 266.15/207.47 |
% 266.15/207.47 | Applying alpha-rule on (18159) yields:
% 266.15/207.47 | (680) all_0_11_11 = all_0_16_16
% 266.15/207.47 | (18161) ( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)
% 266.15/207.47 |
% 266.15/207.47 | Combining equations (680,6780) yields a new equation:
% 266.15/207.47 | (18156) all_0_16_16 = e0
% 266.15/207.47 |
% 266.15/207.47 | Simplifying 18156 yields:
% 266.15/207.47 | (873) all_0_16_16 = e0
% 266.15/207.47 |
% 266.15/207.47 +-Applying beta-rule and splitting (18161), into two cases.
% 266.15/207.47 |-Branch one:
% 266.15/207.47 | (18164) ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9
% 266.15/207.47 |
% 266.15/207.47 | Applying alpha-rule on (18164) yields:
% 266.15/207.47 | (18165) ~ (all_0_9_9 = e2)
% 266.15/207.47 | (2182) op(e4, all_0_16_16) = all_0_9_9
% 266.15/207.47 |
% 266.15/207.47 | From (873) and (2182) follows:
% 266.15/207.47 | (13601) op(e4, e0) = all_0_9_9
% 266.15/207.48 |
% 266.15/207.48 | Instantiating formula (97) with e4, e0, all_0_9_9, e2 and discharging atoms op(e4, e0) = all_0_9_9, op(e4, e0) = e2, yields:
% 266.15/207.48 | (18168) all_0_9_9 = e2
% 266.15/207.48 |
% 266.15/207.48 | Equations (18168) can reduce 18165 to:
% 266.15/207.48 | (366) $false
% 266.15/207.48 |
% 266.15/207.48 |-The branch is then unsatisfiable
% 266.15/207.48 |-Branch two:
% 266.15/207.48 | (2186) ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10
% 266.15/207.48 |
% 266.15/207.48 | Applying alpha-rule on (2186) yields:
% 266.15/207.48 | (2187) ~ (all_0_10_10 = e1)
% 266.15/207.48 | (2188) op(all_0_16_16, all_0_16_16) = all_0_10_10
% 266.15/207.48 |
% 266.15/207.48 | From (873)(873) and (2188) follows:
% 266.15/207.48 | (13623) op(e0, e0) = all_0_10_10
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (13612), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (6403) ~ (op(e0, e0) = e4)
% 266.15/207.48 |
% 266.15/207.48 | Instantiating formula (97) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e3, yields:
% 266.15/207.48 | (1427) e4 = e3 | ~ (op(e4, e4) = e4)
% 266.15/207.48 |
% 266.15/207.48 | Instantiating formula (97) with e2, e4, e0, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 266.15/207.48 | (1747) all_0_25_25 = e0 | ~ (op(e2, e4) = e0)
% 266.15/207.48 |
% 266.15/207.48 | Instantiating formula (97) with e1, e4, e1, e4 yields:
% 266.15/207.48 | (18177) e4 = e1 | ~ (op(e1, e4) = e4) | ~ (op(e1, e4) = e1)
% 266.15/207.48 |
% 266.15/207.48 | Instantiating formula (97) with e0, e0, all_0_10_10, e0 and discharging atoms op(e0, e0) = all_0_10_10, op(e0, e0) = e0, yields:
% 266.15/207.48 | (13626) all_0_10_10 = e0
% 266.15/207.48 |
% 266.15/207.48 | Using (13623) and (6403) yields:
% 266.15/207.48 | (13627) ~ (all_0_10_10 = e4)
% 266.15/207.48 |
% 266.15/207.48 | Equations (13626) can reduce 13627 to:
% 266.15/207.48 | (389) ~ (e4 = e0)
% 266.15/207.48 |
% 266.15/207.48 | Simplifying 389 yields:
% 266.15/207.48 | (287) ~ (e4 = e0)
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (36), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (887) all_0_18_18 = e4
% 266.15/207.48 |
% 266.15/207.48 | Combining equations (1278,887) yields a new equation:
% 266.15/207.48 | (480) e4 = e1
% 266.15/207.48 |
% 266.15/207.48 | Equations (480) can reduce 65 to:
% 266.15/207.48 | (366) $false
% 266.15/207.48 |
% 266.15/207.48 |-The branch is then unsatisfiable
% 266.15/207.48 |-Branch two:
% 266.15/207.48 | (1046) ~ (all_0_18_18 = e4)
% 266.15/207.48 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (231), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (1453) all_0_20_20 = e4
% 266.15/207.48 |
% 266.15/207.48 | Equations (1453) can reduce 496 to:
% 266.15/207.48 | (366) $false
% 266.15/207.48 |
% 266.15/207.48 |-The branch is then unsatisfiable
% 266.15/207.48 |-Branch two:
% 266.15/207.48 | (496) ~ (all_0_20_20 = e4)
% 266.15/207.48 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (32), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (716) all_0_19_19 = e1
% 266.15/207.48 |
% 266.15/207.48 | Combining equations (663,716) yields a new equation:
% 266.15/207.48 | (717) e2 = e1
% 266.15/207.48 |
% 266.15/207.48 | Simplifying 717 yields:
% 266.15/207.48 | (718) e2 = e1
% 266.15/207.48 |
% 266.15/207.48 | Equations (718) can reduce 329 to:
% 266.15/207.48 | (366) $false
% 266.15/207.48 |
% 266.15/207.48 |-The branch is then unsatisfiable
% 266.15/207.48 |-Branch two:
% 266.15/207.48 | (720) ~ (all_0_19_19 = e1)
% 266.15/207.48 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 266.15/207.48 |
% 266.15/207.48 | Equations (663) can reduce 720 to:
% 266.15/207.48 | (329) ~ (e2 = e1)
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (165), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (1161) all_0_35_35 = e4
% 266.15/207.48 |
% 266.15/207.48 | Equations (1161) can reduce 121 to:
% 266.15/207.48 | (3299) ~ (all_0_37_37 = e4)
% 266.15/207.48 |
% 266.15/207.48 | Simplifying 3299 yields:
% 266.15/207.48 | (2658) ~ (all_0_37_37 = e4)
% 266.15/207.48 |
% 266.15/207.48 | Equations (1161) can reduce 173 to:
% 266.15/207.48 | (1142) ~ (all_0_38_38 = e4)
% 266.15/207.48 |
% 266.15/207.48 | Simplifying 1142 yields:
% 266.15/207.48 | (1143) ~ (all_0_38_38 = e4)
% 266.15/207.48 |
% 266.15/207.48 | From (1161) and (676) follows:
% 266.15/207.48 | (2263) op(e2, e4) = e0
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (1747), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (2264) ~ (op(e2, e4) = e0)
% 266.15/207.48 |
% 266.15/207.48 | Using (2263) and (2264) yields:
% 266.15/207.48 | (821) $false
% 266.15/207.48 |
% 266.15/207.48 |-The branch is then unsatisfiable
% 266.15/207.48 |-Branch two:
% 266.15/207.48 | (2263) op(e2, e4) = e0
% 266.15/207.48 | (1921) all_0_25_25 = e0
% 266.15/207.48 |
% 266.15/207.48 | Equations (1921) can reduce 128 to:
% 266.15/207.48 | (2897) ~ (all_0_26_26 = e0)
% 266.15/207.48 |
% 266.15/207.48 | Simplifying 2897 yields:
% 266.15/207.48 | (1058) ~ (all_0_26_26 = e0)
% 266.15/207.48 |
% 266.15/207.48 | Equations (1921) can reduce 946 to:
% 266.15/207.48 | (395) ~ (e1 = e0)
% 266.15/207.48 |
% 266.15/207.48 | Simplifying 395 yields:
% 266.15/207.48 | (37) ~ (e1 = e0)
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (1051), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (1515) all_0_23_23 = e4
% 266.15/207.48 |
% 266.15/207.48 | Equations (1515) can reduce 578 to:
% 266.15/207.48 | (366) $false
% 266.15/207.48 |
% 266.15/207.48 |-The branch is then unsatisfiable
% 266.15/207.48 |-Branch two:
% 266.15/207.48 | (578) ~ (all_0_23_23 = e4)
% 266.15/207.48 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (1518), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (892) all_0_28_28 = e4
% 266.15/207.48 |
% 266.15/207.48 | Equations (892) can reduce 46 to:
% 266.15/207.48 | (582) ~ (all_0_26_26 = e4)
% 266.15/207.48 |
% 266.15/207.48 | Equations (892) can reduce 649 to:
% 266.15/207.48 | (19) ~ (e4 = e2)
% 266.15/207.48 |
% 266.15/207.48 | Equations (892) can reduce 421 to:
% 266.15/207.48 | (65) ~ (e4 = e1)
% 266.15/207.48 |
% 266.15/207.48 +-Applying beta-rule and splitting (15025), into two cases.
% 266.15/207.48 |-Branch one:
% 266.15/207.48 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 266.15/207.48 |
% 266.15/207.48 | Applying alpha-rule on (18220) yields:
% 266.15/207.48 | (18221) all_0_8_8 = all_0_28_28
% 266.15/207.48 | (890) ~ (all_0_28_28 = e4)
% 266.15/207.48 |
% 266.15/207.48 | Equations (892) can reduce 890 to:
% 266.15/207.48 | (366) $false
% 266.15/207.48 |
% 266.15/207.48 |-The branch is then unsatisfiable
% 266.15/207.48 |-Branch two:
% 266.15/207.48 | (18224) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.15/207.48 |
% 266.15/207.49 | Applying alpha-rule on (18224) yields:
% 266.15/207.49 | (18221) all_0_8_8 = all_0_28_28
% 266.15/207.49 | (18226) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.15/207.49 |
% 266.18/207.49 | Combining equations (892,18221) yields a new equation:
% 266.18/207.49 | (18227) all_0_8_8 = e4
% 266.18/207.49 |
% 266.18/207.49 +-Applying beta-rule and splitting (185), into two cases.
% 266.18/207.49 |-Branch one:
% 266.18/207.49 | (1153) all_0_18_18 = e0
% 266.18/207.49 |
% 266.18/207.49 | Combining equations (1278,1153) yields a new equation:
% 266.18/207.49 | (960) e1 = e0
% 266.18/207.49 |
% 266.18/207.49 | Simplifying 960 yields:
% 266.18/207.49 | (961) e1 = e0
% 266.18/207.49 |
% 266.18/207.49 | Equations (961) can reduce 37 to:
% 266.18/207.49 | (366) $false
% 266.18/207.49 |
% 266.18/207.49 |-The branch is then unsatisfiable
% 266.18/207.49 |-Branch two:
% 266.18/207.49 | (1156) ~ (all_0_18_18 = e0)
% 266.18/207.49 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.18/207.49 |
% 266.18/207.49 | Equations (1278) can reduce 1156 to:
% 266.18/207.49 | (37) ~ (e1 = e0)
% 266.18/207.49 |
% 266.18/207.49 +-Applying beta-rule and splitting (15017), into two cases.
% 266.18/207.49 |-Branch one:
% 266.18/207.49 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 266.18/207.49 |
% 266.18/207.49 | Applying alpha-rule on (18220) yields:
% 266.18/207.49 | (18221) all_0_8_8 = all_0_28_28
% 266.18/207.49 | (890) ~ (all_0_28_28 = e4)
% 266.18/207.49 |
% 266.18/207.49 | Combining equations (18221,18227) yields a new equation:
% 266.18/207.49 | (18238) all_0_28_28 = e4
% 266.18/207.49 |
% 266.18/207.49 | Simplifying 18238 yields:
% 266.18/207.49 | (892) all_0_28_28 = e4
% 266.18/207.49 |
% 266.18/207.49 | Equations (892) can reduce 890 to:
% 266.18/207.49 | (366) $false
% 266.18/207.49 |
% 266.18/207.49 |-The branch is then unsatisfiable
% 266.18/207.49 |-Branch two:
% 266.18/207.49 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.18/207.49 |
% 266.18/207.49 | Applying alpha-rule on (18241) yields:
% 266.18/207.49 | (18221) all_0_8_8 = all_0_28_28
% 266.18/207.49 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.18/207.49 |
% 266.18/207.49 | Combining equations (18221,18227) yields a new equation:
% 266.18/207.49 | (18238) all_0_28_28 = e4
% 266.18/207.49 |
% 266.18/207.49 | Simplifying 18238 yields:
% 266.18/207.49 | (892) all_0_28_28 = e4
% 266.18/207.49 |
% 266.18/207.49 +-Applying beta-rule and splitting (23), into two cases.
% 266.18/207.49 |-Branch one:
% 266.18/207.49 | (3159) all_0_25_25 = e2
% 266.18/207.49 |
% 266.18/207.49 | Combining equations (3159,1921) yields a new equation:
% 266.18/207.49 | (836) e2 = e0
% 266.18/207.49 |
% 266.18/207.49 | Simplifying 836 yields:
% 266.18/207.49 | (551) e2 = e0
% 266.18/207.49 |
% 266.18/207.49 | Equations (551) can reduce 347 to:
% 266.18/207.49 | (366) $false
% 266.18/207.49 |
% 266.18/207.49 |-The branch is then unsatisfiable
% 266.18/207.49 |-Branch two:
% 266.18/207.49 | (646) ~ (all_0_25_25 = e2)
% 266.18/207.49 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 266.18/207.49 |
% 266.18/207.49 +-Applying beta-rule and splitting (16), into two cases.
% 266.18/207.49 |-Branch one:
% 266.18/207.49 | (1196) all_0_35_35 = e1
% 266.18/207.49 |
% 266.18/207.49 | Combining equations (1161,1196) yields a new equation:
% 266.18/207.49 | (955) e4 = e1
% 266.18/207.49 |
% 266.18/207.49 | Simplifying 955 yields:
% 266.18/207.49 | (480) e4 = e1
% 266.18/207.49 |
% 266.18/207.49 | Equations (480) can reduce 65 to:
% 266.18/207.49 | (366) $false
% 266.18/207.49 |
% 266.18/207.49 |-The branch is then unsatisfiable
% 266.18/207.49 |-Branch two:
% 266.18/207.49 | (1177) ~ (all_0_35_35 = e1)
% 266.18/207.49 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 266.18/207.49 |
% 266.18/207.49 +-Applying beta-rule and splitting (1199), into two cases.
% 266.18/207.49 |-Branch one:
% 266.18/207.49 | (1015) all_0_36_36 = e1
% 266.18/207.49 |
% 266.18/207.49 | Equations (1015) can reduce 170 to:
% 266.18/207.49 | (1008) ~ (all_0_26_26 = e1)
% 266.18/207.49 |
% 266.18/207.50 +-Applying beta-rule and splitting (13669), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (2380) all_0_26_26 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (2380) can reduce 582 to:
% 266.18/207.50 | (444) ~ (e4 = e2)
% 266.18/207.50 |
% 266.18/207.50 | Simplifying 444 yields:
% 266.18/207.50 | (19) ~ (e4 = e2)
% 266.18/207.50 |
% 266.18/207.50 | Equations (2380) can reduce 1008 to:
% 266.18/207.50 | (329) ~ (e2 = e1)
% 266.18/207.50 |
% 266.18/207.50 | Equations (2380) can reduce 1058 to:
% 266.18/207.50 | (347) ~ (e2 = e0)
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (214), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (797) all_0_35_35 = e2
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (1161,797) yields a new equation:
% 266.18/207.50 | (1111) e4 = e2
% 266.18/207.50 |
% 266.18/207.50 | Simplifying 1111 yields:
% 266.18/207.50 | (539) e4 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (539) can reduce 19 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (742) ~ (all_0_35_35 = e2)
% 266.18/207.50 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (800), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (801) all_0_36_36 = e2
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (1015,801) yields a new equation:
% 266.18/207.50 | (718) e2 = e1
% 266.18/207.50 |
% 266.18/207.50 | Equations (718) can reduce 329 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (756) ~ (all_0_36_36 = e2)
% 266.18/207.50 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (804), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (805) all_0_37_37 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (805) can reduce 202 to:
% 266.18/207.50 | (493) ~ (all_0_22_22 = e2)
% 266.18/207.50 |
% 266.18/207.50 | Equations (805) can reduce 2658 to:
% 266.18/207.50 | (444) ~ (e4 = e2)
% 266.18/207.50 |
% 266.18/207.50 | Simplifying 444 yields:
% 266.18/207.50 | (19) ~ (e4 = e2)
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (125), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (903) all_0_20_20 = e3
% 266.18/207.50 |
% 266.18/207.50 | Equations (903) can reduce 564 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (564) ~ (all_0_20_20 = e3)
% 266.18/207.50 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (51), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (736) all_0_20_20 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (736) can reduce 564 to:
% 266.18/207.50 | (658) ~ (e3 = e2)
% 266.18/207.50 |
% 266.18/207.50 | Simplifying 658 yields:
% 266.18/207.50 | (56) ~ (e3 = e2)
% 266.18/207.50 |
% 266.18/207.50 | From (736) and (5586) follows:
% 266.18/207.50 | (18287) op(e0, e2) = e3
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (18090), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (18288) ~ (op(e0, e2) = e3)
% 266.18/207.50 |
% 266.18/207.50 | Using (18287) and (18288) yields:
% 266.18/207.50 | (821) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (18287) op(e0, e2) = e3
% 266.18/207.50 | (1073) all_0_37_37 = e3
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (1073,805) yields a new equation:
% 266.18/207.50 | (3874) e3 = e2
% 266.18/207.50 |
% 266.18/207.50 | Simplifying 3874 yields:
% 266.18/207.50 | (764) e3 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (764) can reduce 56 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (1114) ~ (all_0_20_20 = e2)
% 266.18/207.50 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (1115), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (522) all_0_21_21 = e2
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (522,449) yields a new equation:
% 266.18/207.50 | (539) e4 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (539) can reduce 19 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (361) ~ (all_0_21_21 = e2)
% 266.18/207.50 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (1121), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (917) all_0_22_22 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (917) can reduce 493 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (493) ~ (all_0_22_22 = e2)
% 266.18/207.50 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (1125), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (1126) all_0_23_23 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (1126) can reduce 810 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (810) ~ (all_0_23_23 = e2)
% 266.18/207.50 | (1393) all_0_24_24 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (1393) can reduce 668 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (515) ~ (all_0_37_37 = e2)
% 266.18/207.50 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (808), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (809) all_0_38_38 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (809) can reduce 1084 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (1084) ~ (all_0_38_38 = e2)
% 266.18/207.50 | (373) all_0_39_39 = e2
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (380,373) yields a new equation:
% 266.18/207.50 | (551) e2 = e0
% 266.18/207.50 |
% 266.18/207.50 | Equations (551) can reduce 347 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (647) ~ (all_0_26_26 = e2)
% 266.18/207.50 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (214), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (797) all_0_35_35 = e2
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (797,1161) yields a new equation:
% 266.18/207.50 | (539) e4 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (539) can reduce 19 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (742) ~ (all_0_35_35 = e2)
% 266.18/207.50 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (1161) can reduce 742 to:
% 266.18/207.50 | (19) ~ (e4 = e2)
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (242), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (711) all_0_19_19 = e4
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (663,711) yields a new equation:
% 266.18/207.50 | (539) e4 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (539) can reduce 19 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (714) ~ (all_0_19_19 = e4)
% 266.18/207.50 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 266.18/207.50 |
% 266.18/207.50 | Equations (663) can reduce 714 to:
% 266.18/207.50 | (444) ~ (e4 = e2)
% 266.18/207.50 |
% 266.18/207.50 | Simplifying 444 yields:
% 266.18/207.50 | (19) ~ (e4 = e2)
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (13681), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (443) all_0_27_27 = e2
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (543,443) yields a new equation:
% 266.18/207.50 | (718) e2 = e1
% 266.18/207.50 |
% 266.18/207.50 | Equations (718) can reduce 329 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (500) ~ (all_0_27_27 = e2)
% 266.18/207.50 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (13687), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (1037) all_0_28_28 = e2
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (892,1037) yields a new equation:
% 266.18/207.50 | (1111) e4 = e2
% 266.18/207.50 |
% 266.18/207.50 | Simplifying 1111 yields:
% 266.18/207.50 | (539) e4 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (539) can reduce 19 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (649) ~ (all_0_28_28 = e2)
% 266.18/207.50 | (4103) all_0_29_29 = e2
% 266.18/207.50 |
% 266.18/207.50 | Equations (4103) can reduce 651 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (1593) ~ (all_0_36_36 = e1)
% 266.18/207.50 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (2672), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (1590) all_0_37_37 = e1
% 266.18/207.50 |
% 266.18/207.50 | Equations (1590) can reduce 2562 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (2562) ~ (all_0_37_37 = e1)
% 266.18/207.50 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 266.18/207.50 |
% 266.18/207.50 +-Applying beta-rule and splitting (2676), into two cases.
% 266.18/207.50 |-Branch one:
% 266.18/207.50 | (1211) all_0_38_38 = e1
% 266.18/207.50 |
% 266.18/207.50 | Equations (1211) can reduce 428 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.50 |-Branch two:
% 266.18/207.50 | (428) ~ (all_0_38_38 = e1)
% 266.18/207.50 | (377) all_0_39_39 = e1
% 266.18/207.50 |
% 266.18/207.50 | Combining equations (377,380) yields a new equation:
% 266.18/207.50 | (960) e1 = e0
% 266.18/207.50 |
% 266.18/207.50 | Simplifying 960 yields:
% 266.18/207.50 | (961) e1 = e0
% 266.18/207.50 |
% 266.18/207.50 | Equations (961) can reduce 37 to:
% 266.18/207.50 | (366) $false
% 266.18/207.50 |
% 266.18/207.50 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (890) ~ (all_0_28_28 = e4)
% 266.18/207.51 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (1522), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (406) all_0_33_33 = e4
% 266.18/207.51 |
% 266.18/207.51 | Combining equations (414,406) yields a new equation:
% 266.18/207.51 | (539) e4 = e2
% 266.18/207.51 |
% 266.18/207.51 | Equations (539) can reduce 19 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (405) ~ (all_0_33_33 = e4)
% 266.18/207.51 | (1165) all_0_38_38 = e4
% 266.18/207.51 |
% 266.18/207.51 | Equations (1165) can reduce 1143 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (514) ~ (all_0_35_35 = e4)
% 266.18/207.51 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (1164), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (2611) all_0_36_36 = e4
% 266.18/207.51 |
% 266.18/207.51 | Equations (2611) can reduce 586 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (586) ~ (all_0_36_36 = e4)
% 266.18/207.51 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (2633), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (1232) all_0_37_37 = e4
% 266.18/207.51 |
% 266.18/207.51 | Equations (1232) can reduce 2658 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (2658) ~ (all_0_37_37 = e4)
% 266.18/207.51 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (2659), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (1165) all_0_38_38 = e4
% 266.18/207.51 |
% 266.18/207.51 | Equations (1165) can reduce 173 to:
% 266.18/207.51 | (514) ~ (all_0_35_35 = e4)
% 266.18/207.51 |
% 266.18/207.51 | Equations (1165) can reduce 428 to:
% 266.18/207.51 | (65) ~ (e4 = e1)
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (8), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (464) all_0_15_15 = e4
% 266.18/207.51 |
% 266.18/207.51 | Combining equations (464,468) yields a new equation:
% 266.18/207.51 | (690) e4 = e3
% 266.18/207.51 |
% 266.18/207.51 | Simplifying 690 yields:
% 266.18/207.51 | (691) e4 = e3
% 266.18/207.51 |
% 266.18/207.51 | Equations (691) can reduce 277 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (460) ~ (all_0_15_15 = e4)
% 266.18/207.51 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (285), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (1158) all_0_25_25 = e4
% 266.18/207.51 |
% 266.18/207.51 | Equations (1158) can reduce 566 to:
% 266.18/207.51 | (277) ~ (e4 = e3)
% 266.18/207.51 |
% 266.18/207.51 | From (1158) and (5082) follows:
% 266.18/207.51 | (1430) op(e4, e4) = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (1427), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (1431) ~ (op(e4, e4) = e4)
% 266.18/207.51 |
% 266.18/207.51 | Using (1430) and (1431) yields:
% 266.18/207.51 | (821) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (1430) op(e4, e4) = e4
% 266.18/207.51 | (691) e4 = e3
% 266.18/207.51 |
% 266.18/207.51 | Equations (691) can reduce 277 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (501) ~ (all_0_25_25 = e4)
% 266.18/207.51 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (914), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (1453) all_0_20_20 = e4
% 266.18/207.51 |
% 266.18/207.51 | Equations (1453) can reduce 496 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (496) ~ (all_0_20_20 = e4)
% 266.18/207.51 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (1456), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (1158) all_0_25_25 = e4
% 266.18/207.51 |
% 266.18/207.51 | Equations (1158) can reduce 501 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (501) ~ (all_0_25_25 = e4)
% 266.18/207.51 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (1460), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (768) all_0_30_30 = e4
% 266.18/207.51 |
% 266.18/207.51 | From (768) and (18133) follows:
% 266.18/207.51 | (18405) op(e1, e4) = e1
% 266.18/207.51 |
% 266.18/207.51 | From (768) and (68) follows:
% 266.18/207.51 | (4267) op(e1, e4) = e4
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (18177), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (4268) ~ (op(e1, e4) = e4)
% 266.18/207.51 |
% 266.18/207.51 | Using (4267) and (4268) yields:
% 266.18/207.51 | (821) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (4267) op(e1, e4) = e4
% 266.18/207.51 | (18410) e4 = e1 | ~ (op(e1, e4) = e1)
% 266.18/207.51 |
% 266.18/207.51 +-Applying beta-rule and splitting (18410), into two cases.
% 266.18/207.51 |-Branch one:
% 266.18/207.51 | (18411) ~ (op(e1, e4) = e1)
% 266.18/207.51 |
% 266.18/207.51 | Using (18405) and (18411) yields:
% 266.18/207.51 | (821) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (18405) op(e1, e4) = e1
% 266.18/207.51 | (480) e4 = e1
% 266.18/207.51 |
% 266.18/207.51 | Equations (480) can reduce 65 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (509) ~ (all_0_30_30 = e4)
% 266.18/207.51 | (1161) all_0_35_35 = e4
% 266.18/207.51 |
% 266.18/207.51 | Equations (1161) can reduce 514 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (1143) ~ (all_0_38_38 = e4)
% 266.18/207.51 | (365) all_0_39_39 = e4
% 266.18/207.51 |
% 266.18/207.51 | Combining equations (380,365) yields a new equation:
% 266.18/207.51 | (490) e4 = e0
% 266.18/207.51 |
% 266.18/207.51 | Equations (490) can reduce 287 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.18/207.51 |-Branch two:
% 266.18/207.51 | (489) op(e0, e0) = e4
% 266.18/207.51 | (490) e4 = e0
% 266.18/207.51 |
% 266.18/207.51 | Equations (490) can reduce 287 to:
% 266.18/207.51 | (366) $false
% 266.18/207.51 |
% 266.18/207.51 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (2785) ~ (all_0_19_19 = e2)
% 266.21/207.52 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (4319), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (716) all_0_19_19 = e1
% 266.21/207.52 |
% 266.21/207.52 | Equations (716) can reduce 720 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (720) ~ (all_0_19_19 = e1)
% 266.21/207.52 | (2703) all_0_19_19 = e0
% 266.21/207.52 |
% 266.21/207.52 | Equations (2703) can reduce 381 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (419) ~ (all_0_18_18 = e1)
% 266.21/207.52 | (1153) all_0_18_18 = e0
% 266.21/207.52 |
% 266.21/207.52 | Equations (1153) can reduce 1156 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (869) ~ (all_0_17_17 = e4)
% 266.21/207.52 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (1961), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (1970) all_0_17_17 = e3
% 266.21/207.52 |
% 266.21/207.52 | Equations (1970) can reduce 558 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (558) ~ (all_0_17_17 = e3)
% 266.21/207.52 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (1979), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (1980) all_0_17_17 = e2
% 266.21/207.52 |
% 266.21/207.52 | Equations (1980) can reduce 74 to:
% 266.21/207.52 | (7441) ~ (all_0_18_18 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 7441 yields:
% 266.21/207.52 | (666) ~ (all_0_18_18 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Equations (1980) can reduce 333 to:
% 266.21/207.52 | (7443) ~ (all_0_19_19 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 7443 yields:
% 266.21/207.52 | (2785) ~ (all_0_19_19 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Equations (1980) can reduce 184 to:
% 266.21/207.52 | (737) ~ (all_0_22_22 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 737 yields:
% 266.21/207.52 | (493) ~ (all_0_22_22 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Equations (1980) can reduce 286 to:
% 266.21/207.52 | (652) ~ (all_0_32_32 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 652 yields:
% 266.21/207.52 | (508) ~ (all_0_32_32 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Equations (1980) can reduce 132 to:
% 266.21/207.52 | (654) ~ (all_0_37_37 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 654 yields:
% 266.21/207.52 | (515) ~ (all_0_37_37 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Equations (1980) can reduce 869 to:
% 266.21/207.52 | (444) ~ (e4 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 444 yields:
% 266.21/207.52 | (19) ~ (e4 = e2)
% 266.21/207.52 |
% 266.21/207.52 | Equations (1980) can reduce 2422 to:
% 266.21/207.52 | (347) ~ (e2 = e0)
% 266.21/207.52 |
% 266.21/207.52 | From (1980) and (49) follows:
% 266.21/207.52 | (18456) op(all_0_25_25, e2) = e4
% 266.21/207.52 |
% 266.21/207.52 | From (1980) and (219) follows:
% 266.21/207.52 | (18457) op(e4, e2) = e2
% 266.21/207.52 |
% 266.21/207.52 | Instantiating formula (97) with e2, e2, e4, e1 and discharging atoms op(e2, e2) = e1, yields:
% 266.21/207.52 | (18458) e4 = e1 | ~ (op(e2, e2) = e4)
% 266.21/207.52 |
% 266.21/207.52 | Instantiating formula (97) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e2, yields:
% 266.21/207.52 | (18459) e4 = e2 | ~ (op(e4, e2) = e4)
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (153), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (831) all_0_22_22 = e4
% 266.21/207.52 |
% 266.21/207.52 | Equations (831) can reduce 576 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (576) ~ (all_0_22_22 = e4)
% 266.21/207.52 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (127), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (790) all_0_30_30 = e0
% 266.21/207.52 |
% 266.21/207.52 | Equations (790) can reduce 186 to:
% 266.21/207.52 | (2961) ~ (all_0_32_32 = e0)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 2961 yields:
% 266.21/207.52 | (1946) ~ (all_0_32_32 = e0)
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (2515), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (847) all_0_22_22 = e0
% 266.21/207.52 |
% 266.21/207.52 | Equations (847) can reduce 346 to:
% 266.21/207.52 | (7248) ~ (all_0_23_23 = e0)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 7248 yields:
% 266.21/207.52 | (1068) ~ (all_0_23_23 = e0)
% 266.21/207.52 |
% 266.21/207.52 | Equations (847) can reduce 493 to:
% 266.21/207.52 | (393) ~ (e2 = e0)
% 266.21/207.52 |
% 266.21/207.52 | Simplifying 393 yields:
% 266.21/207.52 | (347) ~ (e2 = e0)
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (185), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (1153) all_0_18_18 = e0
% 266.21/207.52 |
% 266.21/207.52 | Equations (1153) can reduce 1156 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (1156) ~ (all_0_18_18 = e0)
% 266.21/207.52 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (1157), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (851) all_0_23_23 = e0
% 266.21/207.52 |
% 266.21/207.52 | Equations (851) can reduce 1068 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (1068) ~ (all_0_23_23 = e0)
% 266.21/207.52 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (1228), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (1044) all_0_28_28 = e0
% 266.21/207.52 |
% 266.21/207.52 | Equations (1044) can reduce 193 to:
% 266.21/207.52 | (1925) ~ (all_0_25_25 = e0)
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (285), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (1158) all_0_25_25 = e4
% 266.21/207.52 |
% 266.21/207.52 | From (1158) and (18456) follows:
% 266.21/207.52 | (1462) op(e4, e2) = e4
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (18459), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (1463) ~ (op(e4, e2) = e4)
% 266.21/207.52 |
% 266.21/207.52 | Using (1462) and (1463) yields:
% 266.21/207.52 | (821) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (1462) op(e4, e2) = e4
% 266.21/207.52 | (539) e4 = e2
% 266.21/207.52 |
% 266.21/207.52 | Equations (539) can reduce 19 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (501) ~ (all_0_25_25 = e4)
% 266.21/207.52 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (245), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (1158) all_0_25_25 = e4
% 266.21/207.52 |
% 266.21/207.52 | Equations (1158) can reduce 501 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (501) ~ (all_0_25_25 = e4)
% 266.21/207.52 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (3136), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (2438) all_0_25_25 = e3
% 266.21/207.52 |
% 266.21/207.52 | Equations (2438) can reduce 566 to:
% 266.21/207.52 | (366) $false
% 266.21/207.52 |
% 266.21/207.52 |-The branch is then unsatisfiable
% 266.21/207.52 |-Branch two:
% 266.21/207.52 | (566) ~ (all_0_25_25 = e3)
% 266.21/207.52 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.21/207.52 |
% 266.21/207.52 +-Applying beta-rule and splitting (3158), into two cases.
% 266.21/207.52 |-Branch one:
% 266.21/207.52 | (3159) all_0_25_25 = e2
% 266.21/207.52 |
% 266.21/207.52 | From (3159) and (18456) follows:
% 266.21/207.52 | (538) op(e2, e2) = e4
% 266.21/207.52 |
% 266.21/207.53 +-Applying beta-rule and splitting (986), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (526) all_0_21_21 = e1
% 266.21/207.53 |
% 266.21/207.53 | Combining equations (449,526) yields a new equation:
% 266.21/207.53 | (955) e4 = e1
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 955 yields:
% 266.21/207.53 | (480) e4 = e1
% 266.21/207.53 |
% 266.21/207.53 | Equations (480) can reduce 65 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (363) ~ (all_0_21_21 = e1)
% 266.21/207.53 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 266.21/207.53 |
% 266.21/207.53 | Equations (449) can reduce 363 to:
% 266.21/207.53 | (65) ~ (e4 = e1)
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (18458), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (2364) ~ (op(e2, e2) = e4)
% 266.21/207.53 |
% 266.21/207.53 | Using (538) and (2364) yields:
% 266.21/207.53 | (821) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (538) op(e2, e2) = e4
% 266.21/207.53 | (480) e4 = e1
% 266.21/207.53 |
% 266.21/207.53 | Equations (480) can reduce 65 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (646) ~ (all_0_25_25 = e2)
% 266.21/207.53 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (3162), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (950) all_0_25_25 = e1
% 266.21/207.53 |
% 266.21/207.53 | Equations (950) can reduce 946 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (946) ~ (all_0_25_25 = e1)
% 266.21/207.53 | (1921) all_0_25_25 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (1921) can reduce 1925 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (886) ~ (all_0_28_28 = e0)
% 266.21/207.53 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (1253), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (1254) all_0_33_33 = e0
% 266.21/207.53 |
% 266.21/207.53 | Combining equations (414,1254) yields a new equation:
% 266.21/207.53 | (836) e2 = e0
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 836 yields:
% 266.21/207.53 | (551) e2 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (551) can reduce 347 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (399) ~ (all_0_33_33 = e0)
% 266.21/207.53 | (1214) all_0_38_38 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (1214) can reduce 388 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (826) ~ (all_0_22_22 = e0)
% 266.21/207.53 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (3101), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (546) all_0_27_27 = e0
% 266.21/207.53 |
% 266.21/207.53 | Combining equations (543,546) yields a new equation:
% 266.21/207.53 | (960) e1 = e0
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 960 yields:
% 266.21/207.53 | (961) e1 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (961) can reduce 37 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (434) ~ (all_0_27_27 = e0)
% 266.21/207.53 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (3107), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (1626) all_0_32_32 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (1626) can reduce 1946 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (1946) ~ (all_0_32_32 = e0)
% 266.21/207.53 | (3111) all_0_37_37 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (3111) can reduce 387 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (1878) ~ (all_0_30_30 = e0)
% 266.21/207.53 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (1879), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (1060) all_0_31_31 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (1060) can reduce 1064 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (1064) ~ (all_0_31_31 = e0)
% 266.21/207.53 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (1883), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (1626) all_0_32_32 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (1626) can reduce 63 to:
% 266.21/207.53 | (826) ~ (all_0_22_22 = e0)
% 266.21/207.53 |
% 266.21/207.53 | Equations (1626) can reduce 186 to:
% 266.21/207.53 | (1878) ~ (all_0_30_30 = e0)
% 266.21/207.53 |
% 266.21/207.53 | Equations (1626) can reduce 336 to:
% 266.21/207.53 | (3380) ~ (all_0_37_37 = e0)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 3380 yields:
% 266.21/207.53 | (387) ~ (all_0_37_37 = e0)
% 266.21/207.53 |
% 266.21/207.53 | Equations (1626) can reduce 508 to:
% 266.21/207.53 | (393) ~ (e2 = e0)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 393 yields:
% 266.21/207.53 | (347) ~ (e2 = e0)
% 266.21/207.53 |
% 266.21/207.53 | From (1626) and (315) follows:
% 266.21/207.53 | (18555) op(all_0_28_28, e0) = e1
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (834), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (857) all_0_22_22 = e3
% 266.21/207.53 |
% 266.21/207.53 | Equations (857) can reduce 211 to:
% 266.21/207.53 | (564) ~ (all_0_20_20 = e3)
% 266.21/207.53 |
% 266.21/207.53 | Equations (857) can reduce 346 to:
% 266.21/207.53 | (3066) ~ (all_0_23_23 = e3)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 3066 yields:
% 266.21/207.53 | (982) ~ (all_0_23_23 = e3)
% 266.21/207.53 |
% 266.21/207.53 | Equations (857) can reduce 268 to:
% 266.21/207.53 | (3506) ~ (all_0_24_24 = e3)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 3506 yields:
% 266.21/207.53 | (963) ~ (all_0_24_24 = e3)
% 266.21/207.53 |
% 266.21/207.53 | Equations (857) can reduce 202 to:
% 266.21/207.53 | (776) ~ (all_0_37_37 = e3)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 776 yields:
% 266.21/207.53 | (777) ~ (all_0_37_37 = e3)
% 266.21/207.53 |
% 266.21/207.53 | Equations (857) can reduce 493 to:
% 266.21/207.53 | (56) ~ (e3 = e2)
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (271), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (1232) all_0_37_37 = e4
% 266.21/207.53 |
% 266.21/207.53 | Equations (1232) can reduce 121 to:
% 266.21/207.53 | (514) ~ (all_0_35_35 = e4)
% 266.21/207.53 |
% 266.21/207.53 | Equations (1232) can reduce 354 to:
% 266.21/207.53 | (1142) ~ (all_0_38_38 = e4)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 1142 yields:
% 266.21/207.53 | (1143) ~ (all_0_38_38 = e4)
% 266.21/207.53 |
% 266.21/207.53 | Equations (1232) can reduce 777 to:
% 266.21/207.53 | (277) ~ (e4 = e3)
% 266.21/207.53 |
% 266.21/207.53 | Equations (1232) can reduce 515 to:
% 266.21/207.53 | (19) ~ (e4 = e2)
% 266.21/207.53 |
% 266.21/207.53 | Instantiating formula (97) with all_0_28_28, e0, e1, e4 and discharging atoms op(all_0_28_28, e0) = e1, yields:
% 266.21/207.53 | (18571) e4 = e1 | ~ (op(all_0_28_28, e0) = e4)
% 266.21/207.53 |
% 266.21/207.53 | Instantiating formula (97) with e4, e0, e1, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 266.21/207.53 | (12253) all_0_19_19 = e1 | ~ (op(e4, e0) = e1)
% 266.21/207.53 |
% 266.21/207.53 | Instantiating formula (97) with e3, e0, e1, all_0_24_24 and discharging atoms op(e3, e0) = all_0_24_24, yields:
% 266.21/207.53 | (13292) all_0_24_24 = e1 | ~ (op(e3, e0) = e1)
% 266.21/207.53 |
% 266.21/207.53 | Instantiating formula (97) with e0, e0, e1, e0 and discharging atoms op(e0, e0) = e0, yields:
% 266.21/207.53 | (18574) e1 = e0 | ~ (op(e0, e0) = e1)
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (230), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (927) all_0_19_19 = e3
% 266.21/207.53 |
% 266.21/207.53 | Equations (927) can reduce 562 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (562) ~ (all_0_19_19 = e3)
% 266.21/207.53 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (340), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (697) all_0_16_16 = e2
% 266.21/207.53 |
% 266.21/207.53 | Combining equations (697,873) yields a new equation:
% 266.21/207.53 | (836) e2 = e0
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 836 yields:
% 266.21/207.53 | (551) e2 = e0
% 266.21/207.53 |
% 266.21/207.53 | Equations (551) can reduce 347 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (664) ~ (all_0_16_16 = e2)
% 266.21/207.53 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.21/207.53 |
% 266.21/207.53 | Equations (873) can reduce 664 to:
% 266.21/207.53 | (393) ~ (e2 = e0)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 393 yields:
% 266.21/207.53 | (347) ~ (e2 = e0)
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (36), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (887) all_0_18_18 = e4
% 266.21/207.53 |
% 266.21/207.53 | Equations (887) can reduce 337 to:
% 266.21/207.53 | (6514) ~ (all_0_19_19 = e4)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 6514 yields:
% 266.21/207.53 | (714) ~ (all_0_19_19 = e4)
% 266.21/207.53 |
% 266.21/207.53 | Equations (887) can reduce 300 to:
% 266.21/207.53 | (889) ~ (all_0_28_28 = e4)
% 266.21/207.53 |
% 266.21/207.53 | Simplifying 889 yields:
% 266.21/207.53 | (890) ~ (all_0_28_28 = e4)
% 266.21/207.53 |
% 266.21/207.53 | Equations (887) can reduce 1156 to:
% 266.21/207.53 | (287) ~ (e4 = e0)
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (225), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (711) all_0_19_19 = e4
% 266.21/207.53 |
% 266.21/207.53 | Equations (711) can reduce 714 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (714) ~ (all_0_19_19 = e4)
% 266.21/207.53 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (4311), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (927) all_0_19_19 = e3
% 266.21/207.53 |
% 266.21/207.53 | Equations (927) can reduce 562 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (562) ~ (all_0_19_19 = e3)
% 266.21/207.53 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (4315), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (663) all_0_19_19 = e2
% 266.21/207.53 |
% 266.21/207.53 | Equations (663) can reduce 2785 to:
% 266.21/207.53 | (366) $false
% 266.21/207.53 |
% 266.21/207.53 |-The branch is then unsatisfiable
% 266.21/207.53 |-Branch two:
% 266.21/207.53 | (2785) ~ (all_0_19_19 = e2)
% 266.21/207.53 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 266.21/207.53 |
% 266.21/207.53 +-Applying beta-rule and splitting (4319), into two cases.
% 266.21/207.53 |-Branch one:
% 266.21/207.53 | (716) all_0_19_19 = e1
% 266.21/207.53 |
% 266.21/207.53 | Equations (716) can reduce 87 to:
% 266.21/207.54 | (1964) ~ (all_0_24_24 = e1)
% 266.21/207.54 |
% 266.21/207.54 | Simplifying 1964 yields:
% 266.21/207.54 | (943) ~ (all_0_24_24 = e1)
% 266.21/207.54 |
% 266.21/207.54 | Equations (716) can reduce 381 to:
% 266.21/207.54 | (37) ~ (e1 = e0)
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (154), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (685) all_0_24_24 = e4
% 266.21/207.54 |
% 266.21/207.54 | Equations (685) can reduce 580 to:
% 266.21/207.54 | (366) $false
% 266.21/207.54 |
% 266.21/207.54 |-The branch is then unsatisfiable
% 266.21/207.54 |-Branch two:
% 266.21/207.54 | (580) ~ (all_0_24_24 = e4)
% 266.21/207.54 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (688), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (939) all_0_24_24 = e3
% 266.21/207.54 |
% 266.21/207.54 | Equations (939) can reduce 963 to:
% 266.21/207.54 | (366) $false
% 266.21/207.54 |
% 266.21/207.54 |-The branch is then unsatisfiable
% 266.21/207.54 |-Branch two:
% 266.21/207.54 | (963) ~ (all_0_24_24 = e3)
% 266.21/207.54 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (18574), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (18617) ~ (op(e0, e0) = e1)
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (13612), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (6403) ~ (op(e0, e0) = e4)
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (968), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (1393) all_0_24_24 = e2
% 266.21/207.54 |
% 266.21/207.54 | Equations (1393) can reduce 167 to:
% 266.21/207.54 | (1114) ~ (all_0_20_20 = e2)
% 266.21/207.54 |
% 266.21/207.54 | Equations (1393) can reduce 943 to:
% 266.21/207.54 | (329) ~ (e2 = e1)
% 266.21/207.54 |
% 266.21/207.54 | Using (5587) and (6403) yields:
% 266.21/207.54 | (839) ~ (all_0_20_20 = e0)
% 266.21/207.54 |
% 266.21/207.54 | Using (18555) and (18617) yields:
% 266.21/207.54 | (886) ~ (all_0_28_28 = e0)
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (338), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (892) all_0_28_28 = e4
% 266.21/207.54 |
% 266.21/207.54 | Equations (892) can reduce 890 to:
% 266.21/207.54 | (366) $false
% 266.21/207.54 |
% 266.21/207.54 |-The branch is then unsatisfiable
% 266.21/207.54 |-Branch two:
% 266.21/207.54 | (890) ~ (all_0_28_28 = e4)
% 266.21/207.54 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (231), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (1453) all_0_20_20 = e4
% 266.21/207.54 |
% 266.21/207.54 | Equations (1453) can reduce 496 to:
% 266.21/207.54 | (366) $false
% 266.21/207.54 |
% 266.21/207.54 |-The branch is then unsatisfiable
% 266.21/207.54 |-Branch two:
% 266.21/207.54 | (496) ~ (all_0_20_20 = e4)
% 266.21/207.54 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (895), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (896) all_0_28_28 = e3
% 266.21/207.54 |
% 266.21/207.54 | From (896) and (18555) follows:
% 266.21/207.54 | (13829) op(e3, e0) = e1
% 266.21/207.54 |
% 266.21/207.54 +-Applying beta-rule and splitting (13292), into two cases.
% 266.21/207.54 |-Branch one:
% 266.21/207.54 | (13830) ~ (op(e3, e0) = e1)
% 266.21/207.54 |
% 266.21/207.54 | Using (13829) and (13830) yields:
% 266.21/207.54 | (821) $false
% 266.21/207.54 |
% 266.21/207.54 |-The branch is then unsatisfiable
% 266.21/207.54 |-Branch two:
% 266.21/207.54 | (13829) op(e3, e0) = e1
% 266.21/207.54 | (940) all_0_24_24 = e1
% 266.21/207.54 |
% 266.21/207.54 | Combining equations (1393,940) yields a new equation:
% 266.21/207.54 | (717) e2 = e1
% 266.21/207.54 |
% 266.26/207.54 | Simplifying 717 yields:
% 266.26/207.54 | (718) e2 = e1
% 266.26/207.54 |
% 266.26/207.54 | Equations (718) can reduce 329 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.54 |-Branch two:
% 266.26/207.54 | (1035) ~ (all_0_28_28 = e3)
% 266.26/207.54 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.26/207.54 |
% 266.26/207.54 +-Applying beta-rule and splitting (2301), into two cases.
% 266.26/207.54 |-Branch one:
% 266.26/207.54 | (903) all_0_20_20 = e3
% 266.26/207.54 |
% 266.26/207.54 | Equations (903) can reduce 564 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.54 |-Branch two:
% 266.26/207.54 | (564) ~ (all_0_20_20 = e3)
% 266.26/207.54 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 266.26/207.54 |
% 266.26/207.54 +-Applying beta-rule and splitting (2305), into two cases.
% 266.26/207.54 |-Branch one:
% 266.26/207.54 | (736) all_0_20_20 = e2
% 266.26/207.54 |
% 266.26/207.54 | Equations (736) can reduce 1114 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.54 |-Branch two:
% 266.26/207.54 | (1114) ~ (all_0_20_20 = e2)
% 266.26/207.54 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 266.26/207.54 |
% 266.26/207.54 +-Applying beta-rule and splitting (2309), into two cases.
% 266.26/207.54 |-Branch one:
% 266.26/207.54 | (1175) all_0_20_20 = e1
% 266.26/207.54 |
% 266.26/207.54 | Equations (1175) can reduce 272 to:
% 266.26/207.54 | (3684) ~ (all_0_23_23 = e1)
% 266.26/207.54 |
% 266.26/207.54 | Simplifying 3684 yields:
% 266.26/207.54 | (420) ~ (all_0_23_23 = e1)
% 266.26/207.54 |
% 266.26/207.54 | Equations (1175) can reduce 496 to:
% 266.26/207.54 | (477) ~ (e4 = e1)
% 266.26/207.54 |
% 266.26/207.54 | Simplifying 477 yields:
% 266.26/207.54 | (65) ~ (e4 = e1)
% 266.26/207.54 |
% 266.26/207.54 +-Applying beta-rule and splitting (1036), into two cases.
% 266.26/207.54 |-Branch one:
% 266.26/207.54 | (1037) all_0_28_28 = e2
% 266.26/207.54 |
% 266.26/207.54 | Equations (1037) can reduce 649 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.54 |-Branch two:
% 266.26/207.54 | (649) ~ (all_0_28_28 = e2)
% 266.26/207.54 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 266.26/207.54 |
% 266.26/207.54 +-Applying beta-rule and splitting (259), into two cases.
% 266.26/207.54 |-Branch one:
% 266.26/207.54 | (1278) all_0_18_18 = e1
% 266.26/207.54 |
% 266.26/207.54 | Combining equations (1278,887) yields a new equation:
% 266.26/207.54 | (480) e4 = e1
% 266.26/207.54 |
% 266.26/207.54 | Equations (480) can reduce 65 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.54 |-Branch two:
% 266.26/207.54 | (419) ~ (all_0_18_18 = e1)
% 266.26/207.54 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.26/207.54 |
% 266.26/207.54 +-Applying beta-rule and splitting (8300), into two cases.
% 266.26/207.54 |-Branch one:
% 266.26/207.54 | (3952) all_0_23_23 = e1
% 266.26/207.54 |
% 266.26/207.54 | Equations (3952) can reduce 420 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.54 |-Branch two:
% 266.26/207.54 | (420) ~ (all_0_23_23 = e1)
% 266.26/207.54 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.26/207.54 |
% 266.26/207.54 +-Applying beta-rule and splitting (17548), into two cases.
% 266.26/207.54 |-Branch one:
% 266.26/207.54 | (1041) all_0_28_28 = e1
% 266.26/207.54 |
% 266.26/207.54 | Equations (1041) can reduce 421 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.54 |-Branch two:
% 266.26/207.54 | (421) ~ (all_0_28_28 = e1)
% 266.26/207.54 | (17553) all_0_33_33 = e1 | all_0_38_38 = e1
% 266.26/207.54 |
% 266.26/207.54 +-Applying beta-rule and splitting (1040), into two cases.
% 266.26/207.54 |-Branch one:
% 266.26/207.54 | (1041) all_0_28_28 = e1
% 266.26/207.54 |
% 266.26/207.54 | Equations (1041) can reduce 421 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.54 |-Branch two:
% 266.26/207.54 | (421) ~ (all_0_28_28 = e1)
% 266.26/207.54 | (1044) all_0_28_28 = e0
% 266.26/207.54 |
% 266.26/207.54 | Equations (1044) can reduce 886 to:
% 266.26/207.54 | (366) $false
% 266.26/207.54 |
% 266.26/207.54 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (1409) ~ (all_0_20_20 = e1)
% 266.26/207.55 | (835) all_0_20_20 = e0
% 266.26/207.55 |
% 266.26/207.55 | Equations (835) can reduce 839 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (668) ~ (all_0_24_24 = e2)
% 266.26/207.55 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (2760), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (940) all_0_24_24 = e1
% 266.26/207.55 |
% 266.26/207.55 | Equations (940) can reduce 943 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (943) ~ (all_0_24_24 = e1)
% 266.26/207.55 | (1069) all_0_24_24 = e0
% 266.26/207.55 |
% 266.26/207.55 | Equations (1069) can reduce 382 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (489) op(e0, e0) = e4
% 266.26/207.55 | (490) e4 = e0
% 266.26/207.55 |
% 266.26/207.55 | Equations (490) can reduce 287 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (18691) op(e0, e0) = e1
% 266.26/207.55 | (961) e1 = e0
% 266.26/207.55 |
% 266.26/207.55 | Equations (961) can reduce 37 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (720) ~ (all_0_19_19 = e1)
% 266.26/207.55 | (2703) all_0_19_19 = e0
% 266.26/207.55 |
% 266.26/207.55 | Equations (2703) can reduce 381 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (1046) ~ (all_0_18_18 = e4)
% 266.26/207.55 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (1051), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (1515) all_0_23_23 = e4
% 266.26/207.55 |
% 266.26/207.55 | Equations (1515) can reduce 578 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (578) ~ (all_0_23_23 = e4)
% 266.26/207.55 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (1518), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (892) all_0_28_28 = e4
% 266.26/207.55 |
% 266.26/207.55 | Equations (892) can reduce 300 to:
% 266.26/207.55 | (1046) ~ (all_0_18_18 = e4)
% 266.26/207.55 |
% 266.26/207.55 | Equations (892) can reduce 193 to:
% 266.26/207.55 | (501) ~ (all_0_25_25 = e4)
% 266.26/207.55 |
% 266.26/207.55 | Equations (892) can reduce 73 to:
% 266.26/207.55 | (2797) ~ (all_0_29_29 = e4)
% 266.26/207.55 |
% 266.26/207.55 | Simplifying 2797 yields:
% 266.26/207.55 | (724) ~ (all_0_29_29 = e4)
% 266.26/207.55 |
% 266.26/207.55 | Equations (892) can reduce 421 to:
% 266.26/207.55 | (65) ~ (e4 = e1)
% 266.26/207.55 |
% 266.26/207.55 | From (892) and (18555) follows:
% 266.26/207.55 | (4339) op(e4, e0) = e1
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (15009), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (18710) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)
% 266.26/207.55 |
% 266.26/207.55 | Applying alpha-rule on (18710) yields:
% 266.26/207.55 | (18221) all_0_8_8 = all_0_28_28
% 266.26/207.55 | (1035) ~ (all_0_28_28 = e3)
% 266.26/207.55 |
% 266.26/207.55 | Combining equations (892,18221) yields a new equation:
% 266.26/207.55 | (18227) all_0_8_8 = e4
% 266.26/207.55 |
% 266.26/207.55 | Equations (892) can reduce 1035 to:
% 266.26/207.55 | (277) ~ (e4 = e3)
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (8), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (464) all_0_15_15 = e4
% 266.26/207.55 |
% 266.26/207.55 | Combining equations (464,468) yields a new equation:
% 266.26/207.55 | (690) e4 = e3
% 266.26/207.55 |
% 266.26/207.55 | Simplifying 690 yields:
% 266.26/207.55 | (691) e4 = e3
% 266.26/207.55 |
% 266.26/207.55 | Equations (691) can reduce 277 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (460) ~ (all_0_15_15 = e4)
% 266.26/207.55 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (914), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (1453) all_0_20_20 = e4
% 266.26/207.55 |
% 266.26/207.55 | Equations (1453) can reduce 496 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (496) ~ (all_0_20_20 = e4)
% 266.26/207.55 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (1456), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (1158) all_0_25_25 = e4
% 266.26/207.55 |
% 266.26/207.55 | Equations (1158) can reduce 501 to:
% 266.26/207.55 | (366) $false
% 266.26/207.55 |
% 266.26/207.55 |-The branch is then unsatisfiable
% 266.26/207.55 |-Branch two:
% 266.26/207.55 | (501) ~ (all_0_25_25 = e4)
% 266.26/207.55 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (1460), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (768) all_0_30_30 = e4
% 266.26/207.55 |
% 266.26/207.55 | Equations (768) can reduce 58 to:
% 266.26/207.55 | (501) ~ (all_0_25_25 = e4)
% 266.26/207.55 |
% 266.26/207.55 | Equations (768) can reduce 15 to:
% 266.26/207.55 | (2206) ~ (all_0_34_34 = e4)
% 266.26/207.55 |
% 266.26/207.55 | Simplifying 2206 yields:
% 266.26/207.55 | (1395) ~ (all_0_34_34 = e4)
% 266.26/207.55 |
% 266.26/207.55 +-Applying beta-rule and splitting (15017), into two cases.
% 266.26/207.55 |-Branch one:
% 266.26/207.55 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 266.26/207.55 |
% 266.26/207.55 | Applying alpha-rule on (18220) yields:
% 266.26/207.55 | (18221) all_0_8_8 = all_0_28_28
% 266.26/207.55 | (890) ~ (all_0_28_28 = e4)
% 266.26/207.55 |
% 266.26/207.56 | Combining equations (18221,18227) yields a new equation:
% 266.26/207.56 | (18238) all_0_28_28 = e4
% 266.26/207.56 |
% 266.26/207.56 | Simplifying 18238 yields:
% 266.26/207.56 | (892) all_0_28_28 = e4
% 266.26/207.56 |
% 266.26/207.56 | Equations (892) can reduce 890 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.26/207.56 |
% 266.26/207.56 | Applying alpha-rule on (18241) yields:
% 266.26/207.56 | (18221) all_0_8_8 = all_0_28_28
% 266.26/207.56 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.26/207.56 |
% 266.26/207.56 | Combining equations (18221,18227) yields a new equation:
% 266.26/207.56 | (18238) all_0_28_28 = e4
% 266.26/207.56 |
% 266.26/207.56 | Simplifying 18238 yields:
% 266.26/207.56 | (892) all_0_28_28 = e4
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (242), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (711) all_0_19_19 = e4
% 266.26/207.56 |
% 266.26/207.56 | From (711) and (67) follows:
% 266.26/207.56 | (2088) op(e4, e0) = e4
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (18571), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (18746) ~ (op(all_0_28_28, e0) = e4)
% 266.26/207.56 |
% 266.26/207.56 | From (892) and (18746) follows:
% 266.26/207.56 | (2089) ~ (op(e4, e0) = e4)
% 266.26/207.56 |
% 266.26/207.56 | Using (2088) and (2089) yields:
% 266.26/207.56 | (821) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (18749) op(all_0_28_28, e0) = e4
% 266.26/207.56 | (480) e4 = e1
% 266.26/207.56 |
% 266.26/207.56 | Equations (480) can reduce 65 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (714) ~ (all_0_19_19 = e4)
% 266.26/207.56 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (715), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (685) all_0_24_24 = e4
% 266.26/207.56 |
% 266.26/207.56 | Equations (685) can reduce 580 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (580) ~ (all_0_24_24 = e4)
% 266.26/207.56 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (241), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (1921) all_0_25_25 = e0
% 266.26/207.56 |
% 266.26/207.56 | Equations (1921) can reduce 501 to:
% 266.26/207.56 | (389) ~ (e4 = e0)
% 266.26/207.56 |
% 266.26/207.56 | Simplifying 389 yields:
% 266.26/207.56 | (287) ~ (e4 = e0)
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (1400), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (1250) all_0_29_29 = e4
% 266.26/207.56 |
% 266.26/207.56 | Equations (1250) can reduce 724 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (724) ~ (all_0_29_29 = e4)
% 266.26/207.56 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (1735), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (723) all_0_34_34 = e4
% 266.26/207.56 |
% 266.26/207.56 | Equations (723) can reduce 1395 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (1395) ~ (all_0_34_34 = e4)
% 266.26/207.56 | (365) all_0_39_39 = e4
% 266.26/207.56 |
% 266.26/207.56 | Combining equations (365,380) yields a new equation:
% 266.26/207.56 | (842) e4 = e0
% 266.26/207.56 |
% 266.26/207.56 | Simplifying 842 yields:
% 266.26/207.56 | (490) e4 = e0
% 266.26/207.56 |
% 266.26/207.56 | Equations (490) can reduce 287 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (1925) ~ (all_0_25_25 = e0)
% 266.26/207.56 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (225), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (711) all_0_19_19 = e4
% 266.26/207.56 |
% 266.26/207.56 | Equations (711) can reduce 714 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (714) ~ (all_0_19_19 = e4)
% 266.26/207.56 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (12253), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (12790) ~ (op(e4, e0) = e1)
% 266.26/207.56 |
% 266.26/207.56 | Using (4339) and (12790) yields:
% 266.26/207.56 | (821) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (4339) op(e4, e0) = e1
% 266.26/207.56 | (716) all_0_19_19 = e1
% 266.26/207.56 |
% 266.26/207.56 | Equations (716) can reduce 714 to:
% 266.26/207.56 | (477) ~ (e4 = e1)
% 266.26/207.56 |
% 266.26/207.56 | Simplifying 477 yields:
% 266.26/207.56 | (65) ~ (e4 = e1)
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (245), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (1158) all_0_25_25 = e4
% 266.26/207.56 |
% 266.26/207.56 | Equations (1158) can reduce 501 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (501) ~ (all_0_25_25 = e4)
% 266.26/207.56 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (3136), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (2438) all_0_25_25 = e3
% 266.26/207.56 |
% 266.26/207.56 | Equations (2438) can reduce 566 to:
% 266.26/207.56 | (366) $false
% 266.26/207.56 |
% 266.26/207.56 |-The branch is then unsatisfiable
% 266.26/207.56 |-Branch two:
% 266.26/207.56 | (566) ~ (all_0_25_25 = e3)
% 266.26/207.56 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (3158), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (3159) all_0_25_25 = e2
% 266.26/207.56 |
% 266.26/207.56 | From (3159) and (18456) follows:
% 266.26/207.56 | (538) op(e2, e2) = e4
% 266.26/207.56 |
% 266.26/207.56 +-Applying beta-rule and splitting (159), into two cases.
% 266.26/207.56 |-Branch one:
% 266.26/207.56 | (787) all_0_30_30 = e1
% 266.26/207.56 |
% 266.26/207.56 | Combining equations (768,787) yields a new equation:
% 266.26/207.56 | (955) e4 = e1
% 266.26/207.57 |
% 266.26/207.57 | Simplifying 955 yields:
% 266.26/207.57 | (480) e4 = e1
% 266.26/207.57 |
% 266.26/207.57 | Equations (480) can reduce 65 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (422) ~ (all_0_30_30 = e1)
% 266.26/207.57 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 266.26/207.57 |
% 266.26/207.57 | Equations (768) can reduce 422 to:
% 266.26/207.57 | (65) ~ (e4 = e1)
% 266.26/207.57 |
% 266.26/207.57 +-Applying beta-rule and splitting (18458), into two cases.
% 266.26/207.57 |-Branch one:
% 266.26/207.57 | (2364) ~ (op(e2, e2) = e4)
% 266.26/207.57 |
% 266.26/207.57 | Using (538) and (2364) yields:
% 266.26/207.57 | (821) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (538) op(e2, e2) = e4
% 266.26/207.57 | (480) e4 = e1
% 266.26/207.57 |
% 266.26/207.57 | Equations (480) can reduce 65 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (646) ~ (all_0_25_25 = e2)
% 266.26/207.57 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.26/207.57 |
% 266.26/207.57 +-Applying beta-rule and splitting (3162), into two cases.
% 266.26/207.57 |-Branch one:
% 266.26/207.57 | (950) all_0_25_25 = e1
% 266.26/207.57 |
% 266.26/207.57 | Equations (950) can reduce 946 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (946) ~ (all_0_25_25 = e1)
% 266.26/207.57 | (1921) all_0_25_25 = e0
% 266.26/207.57 |
% 266.26/207.57 | Equations (1921) can reduce 1925 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (509) ~ (all_0_30_30 = e4)
% 266.26/207.57 | (1161) all_0_35_35 = e4
% 266.26/207.57 |
% 266.26/207.57 | Equations (1161) can reduce 514 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (18816) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.26/207.57 |
% 266.26/207.57 | Applying alpha-rule on (18816) yields:
% 266.26/207.57 | (18221) all_0_8_8 = all_0_28_28
% 266.26/207.57 | (18818) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.26/207.57 |
% 266.26/207.57 | Combining equations (892,18221) yields a new equation:
% 266.26/207.57 | (18227) all_0_8_8 = e4
% 266.26/207.57 |
% 266.26/207.57 +-Applying beta-rule and splitting (8), into two cases.
% 266.26/207.57 |-Branch one:
% 266.26/207.57 | (464) all_0_15_15 = e4
% 266.26/207.57 |
% 266.26/207.57 | Combining equations (464,468) yields a new equation:
% 266.26/207.57 | (690) e4 = e3
% 266.26/207.57 |
% 266.26/207.57 | Simplifying 690 yields:
% 266.26/207.57 | (691) e4 = e3
% 266.26/207.57 |
% 266.26/207.57 | Equations (691) can reduce 277 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (460) ~ (all_0_15_15 = e4)
% 266.26/207.57 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.26/207.57 |
% 266.26/207.57 +-Applying beta-rule and splitting (914), into two cases.
% 266.26/207.57 |-Branch one:
% 266.26/207.57 | (1453) all_0_20_20 = e4
% 266.26/207.57 |
% 266.26/207.57 | Equations (1453) can reduce 496 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (496) ~ (all_0_20_20 = e4)
% 266.26/207.57 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.26/207.57 |
% 266.26/207.57 +-Applying beta-rule and splitting (1456), into two cases.
% 266.26/207.57 |-Branch one:
% 266.26/207.57 | (1158) all_0_25_25 = e4
% 266.26/207.57 |
% 266.26/207.57 | Equations (1158) can reduce 501 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (501) ~ (all_0_25_25 = e4)
% 266.26/207.57 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 266.26/207.57 |
% 266.26/207.57 +-Applying beta-rule and splitting (15017), into two cases.
% 266.26/207.57 |-Branch one:
% 266.26/207.57 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 266.26/207.57 |
% 266.26/207.57 | Applying alpha-rule on (18220) yields:
% 266.26/207.57 | (18221) all_0_8_8 = all_0_28_28
% 266.26/207.57 | (890) ~ (all_0_28_28 = e4)
% 266.26/207.57 |
% 266.26/207.57 | Combining equations (18221,18227) yields a new equation:
% 266.26/207.57 | (18238) all_0_28_28 = e4
% 266.26/207.57 |
% 266.26/207.57 | Simplifying 18238 yields:
% 266.26/207.57 | (892) all_0_28_28 = e4
% 266.26/207.57 |
% 266.26/207.57 | Equations (892) can reduce 890 to:
% 266.26/207.57 | (366) $false
% 266.26/207.57 |
% 266.26/207.57 |-The branch is then unsatisfiable
% 266.26/207.57 |-Branch two:
% 266.26/207.57 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.26/207.57 |
% 266.26/207.58 | Applying alpha-rule on (18241) yields:
% 266.26/207.58 | (18221) all_0_8_8 = all_0_28_28
% 266.26/207.58 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.26/207.58 |
% 266.26/207.58 | Combining equations (18221,18227) yields a new equation:
% 266.26/207.58 | (18238) all_0_28_28 = e4
% 266.26/207.58 |
% 266.26/207.58 | Simplifying 18238 yields:
% 266.26/207.58 | (892) all_0_28_28 = e4
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (269), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (1134) all_0_18_18 = e3
% 266.26/207.58 |
% 266.26/207.58 | Equations (1134) can reduce 560 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (560) ~ (all_0_18_18 = e3)
% 266.26/207.58 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1460), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (768) all_0_30_30 = e4
% 266.26/207.58 |
% 266.26/207.58 | Equations (768) can reduce 568 to:
% 266.26/207.58 | (277) ~ (e4 = e3)
% 266.26/207.58 |
% 266.26/207.58 | Equations (768) can reduce 1878 to:
% 266.26/207.58 | (287) ~ (e4 = e0)
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1137), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (978) all_0_23_23 = e3
% 266.26/207.58 |
% 266.26/207.58 | Equations (978) can reduce 982 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (982) ~ (all_0_23_23 = e3)
% 266.26/207.58 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (3084), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (896) all_0_28_28 = e3
% 266.26/207.58 |
% 266.26/207.58 | Combining equations (892,896) yields a new equation:
% 266.26/207.58 | (690) e4 = e3
% 266.26/207.58 |
% 266.26/207.58 | Simplifying 690 yields:
% 266.26/207.58 | (691) e4 = e3
% 266.26/207.58 |
% 266.26/207.58 | Equations (691) can reduce 277 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (1035) ~ (all_0_28_28 = e3)
% 266.26/207.58 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (3089), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (410) all_0_33_33 = e3
% 266.26/207.58 |
% 266.26/207.58 | Combining equations (410,414) yields a new equation:
% 266.26/207.58 | (3874) e3 = e2
% 266.26/207.58 |
% 266.26/207.58 | Simplifying 3874 yields:
% 266.26/207.58 | (764) e3 = e2
% 266.26/207.58 |
% 266.26/207.58 | Equations (764) can reduce 56 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (403) ~ (all_0_33_33 = e3)
% 266.26/207.58 | (1077) all_0_38_38 = e3
% 266.26/207.58 |
% 266.26/207.58 | Equations (1077) can reduce 142 to:
% 266.26/207.58 | (560) ~ (all_0_18_18 = e3)
% 266.26/207.58 |
% 266.26/207.58 | Equations (1077) can reduce 388 to:
% 266.26/207.58 | (88) ~ (e3 = e0)
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (185), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (1153) all_0_18_18 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (1153) can reduce 1156 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (1156) ~ (all_0_18_18 = e0)
% 266.26/207.58 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1157), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (851) all_0_23_23 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (851) can reduce 110 to:
% 266.26/207.58 | (1156) ~ (all_0_18_18 = e0)
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (26), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (887) all_0_18_18 = e4
% 266.26/207.58 |
% 266.26/207.58 | Equations (887) can reduce 1046 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (1046) ~ (all_0_18_18 = e4)
% 266.26/207.58 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (12253), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (12790) ~ (op(e4, e0) = e1)
% 266.26/207.58 |
% 266.26/207.58 | Using (4339) and (12790) yields:
% 266.26/207.58 | (821) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (4339) op(e4, e0) = e1
% 266.26/207.58 | (716) all_0_19_19 = e1
% 266.26/207.58 |
% 266.26/207.58 | Equations (716) can reduce 337 to:
% 266.26/207.58 | (419) ~ (all_0_18_18 = e1)
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1047), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (1134) all_0_18_18 = e3
% 266.26/207.58 |
% 266.26/207.58 | Equations (1134) can reduce 560 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (560) ~ (all_0_18_18 = e3)
% 266.26/207.58 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1270), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (1274) all_0_18_18 = e2
% 266.26/207.58 |
% 266.26/207.58 | Equations (1274) can reduce 666 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (666) ~ (all_0_18_18 = e2)
% 266.26/207.58 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1277), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (1278) all_0_18_18 = e1
% 266.26/207.58 |
% 266.26/207.58 | Equations (1278) can reduce 419 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (419) ~ (all_0_18_18 = e1)
% 266.26/207.58 | (1153) all_0_18_18 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (1153) can reduce 1156 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (1068) ~ (all_0_23_23 = e0)
% 266.26/207.58 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1228), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (1044) all_0_28_28 = e0
% 266.26/207.58 |
% 266.26/207.58 | Combining equations (892,1044) yields a new equation:
% 266.26/207.58 | (842) e4 = e0
% 266.26/207.58 |
% 266.26/207.58 | Simplifying 842 yields:
% 266.26/207.58 | (490) e4 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (490) can reduce 287 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (886) ~ (all_0_28_28 = e0)
% 266.26/207.58 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (206), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (483) all_0_15_15 = e0
% 266.26/207.58 |
% 266.26/207.58 | Combining equations (483,468) yields a new equation:
% 266.26/207.58 | (980) e3 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (980) can reduce 88 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (463) ~ (all_0_15_15 = e0)
% 266.26/207.58 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (468) can reduce 463 to:
% 266.26/207.58 | (88) ~ (e3 = e0)
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (94), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (1287) all_0_16_16 = e3
% 266.26/207.58 |
% 266.26/207.58 | Combining equations (873,1287) yields a new equation:
% 266.26/207.58 | (980) e3 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (980) can reduce 88 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (458) ~ (all_0_16_16 = e3)
% 266.26/207.58 | (2460) all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 266.26/207.58 |
% 266.26/207.58 | Equations (873) can reduce 458 to:
% 266.26/207.58 | (391) ~ (e3 = e0)
% 266.26/207.58 |
% 266.26/207.58 | Simplifying 391 yields:
% 266.26/207.58 | (88) ~ (e3 = e0)
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1253), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (1254) all_0_33_33 = e0
% 266.26/207.58 |
% 266.26/207.58 | Combining equations (1254,414) yields a new equation:
% 266.26/207.58 | (551) e2 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (551) can reduce 347 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (399) ~ (all_0_33_33 = e0)
% 266.26/207.58 | (1214) all_0_38_38 = e0
% 266.26/207.58 |
% 266.26/207.58 | Combining equations (1077,1214) yields a new equation:
% 266.26/207.58 | (979) e3 = e0
% 266.26/207.58 |
% 266.26/207.58 | Simplifying 979 yields:
% 266.26/207.58 | (980) e3 = e0
% 266.26/207.58 |
% 266.26/207.58 | Equations (980) can reduce 88 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (509) ~ (all_0_30_30 = e4)
% 266.26/207.58 | (1161) all_0_35_35 = e4
% 266.26/207.58 |
% 266.26/207.58 | Equations (1161) can reduce 514 to:
% 266.26/207.58 | (366) $false
% 266.26/207.58 |
% 266.26/207.58 |-The branch is then unsatisfiable
% 266.26/207.58 |-Branch two:
% 266.26/207.58 | (890) ~ (all_0_28_28 = e4)
% 266.26/207.58 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.26/207.58 |
% 266.26/207.58 +-Applying beta-rule and splitting (1522), into two cases.
% 266.26/207.58 |-Branch one:
% 266.26/207.58 | (406) all_0_33_33 = e4
% 266.26/207.58 |
% 266.26/207.59 | Combining equations (406,414) yields a new equation:
% 266.26/207.59 | (1111) e4 = e2
% 266.26/207.59 |
% 266.26/207.59 | Simplifying 1111 yields:
% 266.26/207.59 | (539) e4 = e2
% 266.26/207.59 |
% 266.26/207.59 | Equations (539) can reduce 19 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (405) ~ (all_0_33_33 = e4)
% 266.26/207.59 | (1165) all_0_38_38 = e4
% 266.26/207.59 |
% 266.26/207.59 | Equations (1165) can reduce 1143 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (2658) ~ (all_0_37_37 = e4)
% 266.26/207.59 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (3872), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (1073) all_0_37_37 = e3
% 266.26/207.59 |
% 266.26/207.59 | Equations (1073) can reduce 777 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (777) ~ (all_0_37_37 = e3)
% 266.26/207.59 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (3886), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (805) all_0_37_37 = e2
% 266.26/207.59 |
% 266.26/207.59 | Equations (805) can reduce 515 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (515) ~ (all_0_37_37 = e2)
% 266.26/207.59 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (3890), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (1590) all_0_37_37 = e1
% 266.26/207.59 |
% 266.26/207.59 | Equations (1590) can reduce 2562 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (2562) ~ (all_0_37_37 = e1)
% 266.26/207.59 | (3111) all_0_37_37 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (3111) can reduce 387 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (774) ~ (all_0_22_22 = e3)
% 266.26/207.59 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (860), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (917) all_0_22_22 = e2
% 266.26/207.59 |
% 266.26/207.59 | Equations (917) can reduce 493 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (493) ~ (all_0_22_22 = e2)
% 266.26/207.59 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (920), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (999) all_0_22_22 = e1
% 266.26/207.59 |
% 266.26/207.59 | Equations (999) can reduce 1018 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (1018) ~ (all_0_22_22 = e1)
% 266.26/207.59 | (847) all_0_22_22 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (847) can reduce 826 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (1946) ~ (all_0_32_32 = e0)
% 266.26/207.59 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (1947), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (1254) all_0_33_33 = e0
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (414,1254) yields a new equation:
% 266.26/207.59 | (836) e2 = e0
% 266.26/207.59 |
% 266.26/207.59 | Simplifying 836 yields:
% 266.26/207.59 | (551) e2 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (551) can reduce 347 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (399) ~ (all_0_33_33 = e0)
% 266.26/207.59 | (1717) all_0_34_34 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (1717) can reduce 384 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (459) ~ (all_0_17_17 = e2)
% 266.26/207.59 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (114), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (472) all_0_15_15 = e2
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (472,468) yields a new equation:
% 266.26/207.59 | (764) e3 = e2
% 266.26/207.59 |
% 266.26/207.59 | Equations (764) can reduce 56 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (447) ~ (all_0_15_15 = e2)
% 266.26/207.59 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (2791), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (697) all_0_16_16 = e2
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (873,697) yields a new equation:
% 266.26/207.59 | (551) e2 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (551) can reduce 347 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (664) ~ (all_0_16_16 = e2)
% 266.26/207.59 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (2933), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (1980) all_0_17_17 = e2
% 266.26/207.59 |
% 266.26/207.59 | Equations (1980) can reduce 459 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (459) ~ (all_0_17_17 = e2)
% 266.26/207.59 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (2937), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (1274) all_0_18_18 = e2
% 266.26/207.59 |
% 266.26/207.59 | Equations (1274) can reduce 666 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (666) ~ (all_0_18_18 = e2)
% 266.26/207.59 | (663) all_0_19_19 = e2
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (323), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (476) all_0_15_15 = e1
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (476,468) yields a new equation:
% 266.26/207.59 | (706) e3 = e1
% 266.26/207.59 |
% 266.26/207.59 | Equations (706) can reduce 318 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (482) ~ (all_0_15_15 = e1)
% 266.26/207.59 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (166), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (464) all_0_15_15 = e4
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (464,468) yields a new equation:
% 266.26/207.59 | (690) e4 = e3
% 266.26/207.59 |
% 266.26/207.59 | Simplifying 690 yields:
% 266.26/207.59 | (691) e4 = e3
% 266.26/207.59 |
% 266.26/207.59 | Equations (691) can reduce 277 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (460) ~ (all_0_15_15 = e4)
% 266.26/207.59 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (694), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (701) all_0_16_16 = e4
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (873,701) yields a new equation:
% 266.26/207.59 | (490) e4 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (490) can reduce 287 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (573) ~ (all_0_16_16 = e4)
% 266.26/207.59 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (709), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (921) all_0_16_16 = e1
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (873,921) yields a new equation:
% 266.26/207.59 | (961) e1 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (961) can reduce 37 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (985) ~ (all_0_16_16 = e1)
% 266.26/207.59 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (864), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (865) all_0_17_17 = e4
% 266.26/207.59 |
% 266.26/207.59 | Equations (865) can reduce 869 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (869) ~ (all_0_17_17 = e4)
% 266.26/207.59 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (870), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (887) all_0_18_18 = e4
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (1373), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (1498) all_0_17_17 = e1
% 266.26/207.59 |
% 266.26/207.59 | Equations (1498) can reduce 1501 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (1501) ~ (all_0_17_17 = e1)
% 266.26/207.59 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (1681), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (1278) all_0_18_18 = e1
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (1278,887) yields a new equation:
% 266.26/207.59 | (480) e4 = e1
% 266.26/207.59 |
% 266.26/207.59 | Equations (480) can reduce 65 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (419) ~ (all_0_18_18 = e1)
% 266.26/207.59 | (716) all_0_19_19 = e1
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (663,716) yields a new equation:
% 266.26/207.59 | (717) e2 = e1
% 266.26/207.59 |
% 266.26/207.59 | Simplifying 717 yields:
% 266.26/207.59 | (718) e2 = e1
% 266.26/207.59 |
% 266.26/207.59 | Equations (718) can reduce 329 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (1046) ~ (all_0_18_18 = e4)
% 266.26/207.59 | (711) all_0_19_19 = e4
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (663,711) yields a new equation:
% 266.26/207.59 | (539) e4 = e2
% 266.26/207.59 |
% 266.26/207.59 | Equations (539) can reduce 19 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (1742) all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10))
% 266.26/207.59 |
% 266.26/207.59 | Applying alpha-rule on (1742) yields:
% 266.26/207.59 | (680) all_0_11_11 = all_0_16_16
% 266.26/207.59 | (1744) ( ~ (all_0_9_9 = e0) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (873,680) yields a new equation:
% 266.26/207.59 | (6780) all_0_11_11 = e0
% 266.26/207.59 |
% 266.26/207.59 | Instantiating formula (97) with e1, e0, e4, all_0_34_34 and discharging atoms op(e1, e0) = all_0_34_34, yields:
% 266.26/207.59 | (12280) all_0_34_34 = e4 | ~ (op(e1, e0) = e4)
% 266.26/207.59 |
% 266.26/207.59 | Instantiating formula (97) with e0, e0, e4, e0 and discharging atoms op(e0, e0) = e0, yields:
% 266.26/207.59 | (13612) e4 = e0 | ~ (op(e0, e0) = e4)
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (127), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (790) all_0_30_30 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (790) can reduce 58 to:
% 266.26/207.59 | (1925) ~ (all_0_25_25 = e0)
% 266.26/207.59 |
% 266.26/207.59 | Equations (790) can reduce 186 to:
% 266.26/207.59 | (2961) ~ (all_0_32_32 = e0)
% 266.26/207.59 |
% 266.26/207.59 | Simplifying 2961 yields:
% 266.26/207.59 | (1946) ~ (all_0_32_32 = e0)
% 266.26/207.59 |
% 266.26/207.59 | Equations (790) can reduce 568 to:
% 266.26/207.59 | (391) ~ (e3 = e0)
% 266.26/207.59 |
% 266.26/207.59 | Simplifying 391 yields:
% 266.26/207.59 | (88) ~ (e3 = e0)
% 266.26/207.59 |
% 266.26/207.59 | From (790) and (290) follows:
% 266.26/207.59 | (19048) op(e0, all_0_18_18) = e4
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (241), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (1921) all_0_25_25 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (1921) can reduce 1925 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (1925) ~ (all_0_25_25 = e0)
% 266.26/207.59 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (1926), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (883) all_0_26_26 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (883) can reduce 1058 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (1058) ~ (all_0_26_26 = e0)
% 266.26/207.59 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (2527), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (546) all_0_27_27 = e0
% 266.26/207.59 |
% 266.26/207.59 | Combining equations (543,546) yields a new equation:
% 266.26/207.59 | (960) e1 = e0
% 266.26/207.59 |
% 266.26/207.59 | Simplifying 960 yields:
% 266.26/207.59 | (961) e1 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (961) can reduce 37 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (434) ~ (all_0_27_27 = e0)
% 266.26/207.59 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (543) can reduce 434 to:
% 266.26/207.59 | (37) ~ (e1 = e0)
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (222), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (823) all_0_17_17 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (823) can reduce 2422 to:
% 266.26/207.59 | (366) $false
% 266.26/207.59 |
% 266.26/207.59 |-The branch is then unsatisfiable
% 266.26/207.59 |-Branch two:
% 266.26/207.59 | (2422) ~ (all_0_17_17 = e0)
% 266.26/207.59 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.26/207.59 |
% 266.26/207.59 +-Applying beta-rule and splitting (2515), into two cases.
% 266.26/207.59 |-Branch one:
% 266.26/207.59 | (847) all_0_22_22 = e0
% 266.26/207.59 |
% 266.26/207.59 | Equations (847) can reduce 184 to:
% 266.26/207.59 | (2422) ~ (all_0_17_17 = e0)
% 266.26/207.59 |
% 266.26/207.59 | Equations (847) can reduce 211 to:
% 266.26/207.59 | (839) ~ (all_0_20_20 = e0)
% 266.26/207.59 |
% 266.26/207.59 | Equations (847) can reduce 346 to:
% 266.26/207.59 | (7248) ~ (all_0_23_23 = e0)
% 266.26/207.59 |
% 266.26/207.59 | Simplifying 7248 yields:
% 266.26/207.59 | (1068) ~ (all_0_23_23 = e0)
% 266.26/207.59 |
% 266.26/207.59 | Equations (847) can reduce 268 to:
% 266.26/207.60 | (9686) ~ (all_0_24_24 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Simplifying 9686 yields:
% 266.26/207.60 | (382) ~ (all_0_24_24 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Equations (847) can reduce 63 to:
% 266.26/207.60 | (2961) ~ (all_0_32_32 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Simplifying 2961 yields:
% 266.26/207.60 | (1946) ~ (all_0_32_32 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Equations (847) can reduce 202 to:
% 266.26/207.60 | (3380) ~ (all_0_37_37 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Simplifying 3380 yields:
% 266.26/207.60 | (387) ~ (all_0_37_37 = e0)
% 266.26/207.60 |
% 266.26/207.60 | From (847) and (234) follows:
% 266.26/207.60 | (19079) op(e0, all_0_26_26) = e2
% 266.26/207.60 |
% 266.26/207.60 | From (847) and (147) follows:
% 266.26/207.60 | (19080) op(all_0_26_26, e0) = e3
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (185), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (1153) all_0_18_18 = e0
% 266.26/207.60 |
% 266.26/207.60 | Equations (1153) can reduce 1156 to:
% 266.26/207.60 | (366) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (1156) ~ (all_0_18_18 = e0)
% 266.26/207.60 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (1157), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (851) all_0_23_23 = e0
% 266.26/207.60 |
% 266.26/207.60 | Equations (851) can reduce 1068 to:
% 266.26/207.60 | (366) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (1068) ~ (all_0_23_23 = e0)
% 266.26/207.60 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (1228), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (1044) all_0_28_28 = e0
% 266.26/207.60 |
% 266.26/207.60 | Equations (1044) can reduce 300 to:
% 266.26/207.60 | (1156) ~ (all_0_18_18 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Equations (1044) can reduce 86 to:
% 266.26/207.60 | (1068) ~ (all_0_23_23 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Equations (1044) can reduce 193 to:
% 266.26/207.60 | (1925) ~ (all_0_25_25 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Equations (1044) can reduce 73 to:
% 266.26/207.60 | (3455) ~ (all_0_29_29 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Simplifying 3455 yields:
% 266.26/207.60 | (383) ~ (all_0_29_29 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Equations (1044) can reduce 198 to:
% 266.26/207.60 | (1285) ~ (all_0_38_38 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Simplifying 1285 yields:
% 266.26/207.60 | (388) ~ (all_0_38_38 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Equations (1044) can reduce 649 to:
% 266.26/207.60 | (393) ~ (e2 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Simplifying 393 yields:
% 266.26/207.60 | (347) ~ (e2 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Equations (1044) can reduce 421 to:
% 266.26/207.60 | (395) ~ (e1 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Simplifying 395 yields:
% 266.26/207.60 | (37) ~ (e1 = e0)
% 266.26/207.60 |
% 266.26/207.60 | From (1044) and (315) follows:
% 266.26/207.60 | (19101) op(e0, all_0_32_32) = e1
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (15025), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 266.26/207.60 |
% 266.26/207.60 | Applying alpha-rule on (18220) yields:
% 266.26/207.60 | (18221) all_0_8_8 = all_0_28_28
% 266.26/207.60 | (890) ~ (all_0_28_28 = e4)
% 266.26/207.60 |
% 266.26/207.60 | Equations (1044) can reduce 890 to:
% 266.26/207.60 | (389) ~ (e4 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Simplifying 389 yields:
% 266.26/207.60 | (287) ~ (e4 = e0)
% 266.26/207.60 |
% 266.26/207.60 | Instantiating formula (97) with e0, e4, e4, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 266.26/207.60 | (19107) all_0_35_35 = e4 | ~ (op(e0, e4) = e4)
% 266.26/207.60 |
% 266.26/207.60 | Instantiating formula (97) with e0, e3, e2, all_0_36_36 and discharging atoms op(e0, e3) = all_0_36_36, yields:
% 266.26/207.60 | (14420) all_0_36_36 = e2 | ~ (op(e0, e3) = e2)
% 266.26/207.60 |
% 266.26/207.60 | Instantiating formula (97) with e0, e4, e1, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 266.26/207.60 | (3304) all_0_35_35 = e1 | ~ (op(e0, e4) = e1)
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (29), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (476) all_0_15_15 = e1
% 266.26/207.60 |
% 266.26/207.60 | Combining equations (476,468) yields a new equation:
% 266.26/207.60 | (706) e3 = e1
% 266.26/207.60 |
% 266.26/207.60 | Equations (706) can reduce 318 to:
% 266.26/207.60 | (366) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (482) ~ (all_0_15_15 = e1)
% 266.26/207.60 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 266.26/207.60 |
% 266.26/207.60 | Equations (468) can reduce 482 to:
% 266.26/207.60 | (318) ~ (e3 = e1)
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (231), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (1453) all_0_20_20 = e4
% 266.26/207.60 |
% 266.26/207.60 | Equations (1453) can reduce 496 to:
% 266.26/207.60 | (366) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (496) ~ (all_0_20_20 = e4)
% 266.26/207.60 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (285), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (1158) all_0_25_25 = e4
% 266.26/207.60 |
% 266.26/207.60 | Equations (1158) can reduce 1925 to:
% 266.26/207.60 | (287) ~ (e4 = e0)
% 266.26/207.60 |
% 266.26/207.60 | From (1158) and (49) follows:
% 266.26/207.60 | (1820) op(e4, all_0_17_17) = e4
% 266.26/207.60 |
% 266.26/207.60 | Instantiating formula (97) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e3, yields:
% 266.26/207.60 | (1427) e4 = e3 | ~ (op(e4, e4) = e4)
% 266.26/207.60 |
% 266.26/207.60 | Instantiating formula (97) with e4, e2, e4, e2 yields:
% 266.26/207.60 | (19124) e4 = e2 | ~ (op(e4, e2) = e4) | ~ (op(e4, e2) = e2)
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (162), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (472) all_0_15_15 = e2
% 266.26/207.60 |
% 266.26/207.60 | Combining equations (472,468) yields a new equation:
% 266.26/207.60 | (764) e3 = e2
% 266.26/207.60 |
% 266.26/207.60 | Equations (764) can reduce 56 to:
% 266.26/207.60 | (366) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (447) ~ (all_0_15_15 = e2)
% 266.26/207.60 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.26/207.60 |
% 266.26/207.60 | Equations (468) can reduce 447 to:
% 266.26/207.60 | (56) ~ (e3 = e2)
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (327), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (768) all_0_30_30 = e4
% 266.26/207.60 |
% 266.26/207.60 | Combining equations (790,768) yields a new equation:
% 266.26/207.60 | (490) e4 = e0
% 266.26/207.60 |
% 266.26/207.60 | Equations (490) can reduce 287 to:
% 266.26/207.60 | (366) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (509) ~ (all_0_30_30 = e4)
% 266.26/207.60 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (23), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (3159) all_0_25_25 = e2
% 266.26/207.60 |
% 266.26/207.60 | Combining equations (3159,1158) yields a new equation:
% 266.26/207.60 | (539) e4 = e2
% 266.26/207.60 |
% 266.26/207.60 | Equations (539) can reduce 19 to:
% 266.26/207.60 | (366) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (646) ~ (all_0_25_25 = e2)
% 266.26/207.60 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 266.26/207.60 |
% 266.26/207.60 | Equations (1158) can reduce 646 to:
% 266.26/207.60 | (19) ~ (e4 = e2)
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (115), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (1446) all_0_31_31 = e4
% 266.26/207.60 |
% 266.26/207.60 | Equations (1446) can reduce 584 to:
% 266.26/207.60 | (366) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (584) ~ (all_0_31_31 = e4)
% 266.26/207.60 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (203), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (1980) all_0_17_17 = e2
% 266.26/207.60 |
% 266.26/207.60 | From (1980) and (1820) follows:
% 266.26/207.60 | (1462) op(e4, e2) = e4
% 266.26/207.60 |
% 266.26/207.60 | From (1980) and (219) follows:
% 266.26/207.60 | (18457) op(e4, e2) = e2
% 266.26/207.60 |
% 266.26/207.60 +-Applying beta-rule and splitting (19124), into two cases.
% 266.26/207.60 |-Branch one:
% 266.26/207.60 | (1463) ~ (op(e4, e2) = e4)
% 266.26/207.60 |
% 266.26/207.60 | Using (1462) and (1463) yields:
% 266.26/207.60 | (821) $false
% 266.26/207.60 |
% 266.26/207.60 |-The branch is then unsatisfiable
% 266.26/207.60 |-Branch two:
% 266.26/207.60 | (1462) op(e4, e2) = e4
% 266.26/207.60 | (19152) e4 = e2 | ~ (op(e4, e2) = e2)
% 266.26/207.60 |
% 266.26/207.61 +-Applying beta-rule and splitting (19152), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (19153) ~ (op(e4, e2) = e2)
% 266.26/207.61 |
% 266.26/207.61 | Using (18457) and (19153) yields:
% 266.26/207.61 | (821) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (18457) op(e4, e2) = e2
% 266.26/207.61 | (539) e4 = e2
% 266.26/207.61 |
% 266.26/207.61 | Equations (539) can reduce 19 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (459) ~ (all_0_17_17 = e2)
% 266.26/207.61 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (15439), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (917) all_0_22_22 = e2
% 266.26/207.61 |
% 266.26/207.61 | Combining equations (847,917) yields a new equation:
% 266.26/207.61 | (551) e2 = e0
% 266.26/207.61 |
% 266.26/207.61 | Equations (551) can reduce 347 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (493) ~ (all_0_22_22 = e2)
% 266.26/207.61 | (16070) all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 266.26/207.61 |
% 266.26/207.61 | Equations (847) can reduce 493 to:
% 266.26/207.61 | (393) ~ (e2 = e0)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 393 yields:
% 266.26/207.61 | (347) ~ (e2 = e0)
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (240), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (865) all_0_17_17 = e4
% 266.26/207.61 |
% 266.26/207.61 | Equations (865) can reduce 74 to:
% 266.26/207.61 | (1493) ~ (all_0_18_18 = e4)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 1493 yields:
% 266.26/207.61 | (1046) ~ (all_0_18_18 = e4)
% 266.26/207.61 |
% 266.26/207.61 | Equations (865) can reduce 333 to:
% 266.26/207.61 | (6514) ~ (all_0_19_19 = e4)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 6514 yields:
% 266.26/207.61 | (714) ~ (all_0_19_19 = e4)
% 266.26/207.61 |
% 266.26/207.61 | Equations (865) can reduce 286 to:
% 266.26/207.61 | (1495) ~ (all_0_32_32 = e4)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 1495 yields:
% 266.26/207.61 | (727) ~ (all_0_32_32 = e4)
% 266.26/207.61 |
% 266.26/207.61 | Equations (865) can reduce 132 to:
% 266.26/207.61 | (3299) ~ (all_0_37_37 = e4)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 3299 yields:
% 266.26/207.61 | (2658) ~ (all_0_37_37 = e4)
% 266.26/207.61 |
% 266.26/207.61 | From (865) and (1820) follows:
% 266.26/207.61 | (1430) op(e4, e4) = e4
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (26), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (887) all_0_18_18 = e4
% 266.26/207.61 |
% 266.26/207.61 | Equations (887) can reduce 1046 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (1046) ~ (all_0_18_18 = e4)
% 266.26/207.61 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (114), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (472) all_0_15_15 = e2
% 266.26/207.61 |
% 266.26/207.61 | Combining equations (468,472) yields a new equation:
% 266.26/207.61 | (3874) e3 = e2
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 3874 yields:
% 266.26/207.61 | (764) e3 = e2
% 266.26/207.61 |
% 266.26/207.61 | Equations (764) can reduce 56 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (447) ~ (all_0_15_15 = e2)
% 266.26/207.61 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (1437), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (1446) all_0_31_31 = e4
% 266.26/207.61 |
% 266.26/207.61 | Equations (1446) can reduce 584 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (584) ~ (all_0_31_31 = e4)
% 266.26/207.61 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (242), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (711) all_0_19_19 = e4
% 266.26/207.61 |
% 266.26/207.61 | Equations (711) can reduce 714 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (714) ~ (all_0_19_19 = e4)
% 266.26/207.61 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (1047), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (1134) all_0_18_18 = e3
% 266.26/207.61 |
% 266.26/207.61 | Equations (1134) can reduce 560 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (560) ~ (all_0_18_18 = e3)
% 266.26/207.61 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (1270), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (1274) all_0_18_18 = e2
% 266.26/207.61 |
% 266.26/207.61 | Equations (1274) can reduce 666 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (666) ~ (all_0_18_18 = e2)
% 266.26/207.61 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (2791), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (697) all_0_16_16 = e2
% 266.26/207.61 |
% 266.26/207.61 | Combining equations (873,697) yields a new equation:
% 266.26/207.61 | (551) e2 = e0
% 266.26/207.61 |
% 266.26/207.61 | Equations (551) can reduce 347 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (664) ~ (all_0_16_16 = e2)
% 266.26/207.61 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (261), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (1229) all_0_32_32 = e4
% 266.26/207.61 |
% 266.26/207.61 | Equations (1229) can reduce 727 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (727) ~ (all_0_32_32 = e4)
% 266.26/207.61 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (36), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (887) all_0_18_18 = e4
% 266.26/207.61 |
% 266.26/207.61 | Equations (887) can reduce 1046 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (1046) ~ (all_0_18_18 = e4)
% 266.26/207.61 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (1277), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (1278) all_0_18_18 = e1
% 266.26/207.61 |
% 266.26/207.61 | Equations (1278) can reduce 110 to:
% 266.26/207.61 | (3684) ~ (all_0_23_23 = e1)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 3684 yields:
% 266.26/207.61 | (420) ~ (all_0_23_23 = e1)
% 266.26/207.61 |
% 266.26/207.61 | Equations (1278) can reduce 666 to:
% 266.26/207.61 | (1002) ~ (e2 = e1)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 1002 yields:
% 266.26/207.61 | (329) ~ (e2 = e1)
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (137), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (1515) all_0_23_23 = e4
% 266.26/207.61 |
% 266.26/207.61 | Equations (1515) can reduce 578 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (578) ~ (all_0_23_23 = e4)
% 266.26/207.61 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (3943), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (978) all_0_23_23 = e3
% 266.26/207.61 |
% 266.26/207.61 | Equations (978) can reduce 578 to:
% 266.26/207.61 | (695) ~ (e4 = e3)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 695 yields:
% 266.26/207.61 | (277) ~ (e4 = e3)
% 266.26/207.61 |
% 266.26/207.61 | Equations (978) can reduce 810 to:
% 266.26/207.61 | (56) ~ (e3 = e2)
% 266.26/207.61 |
% 266.26/207.61 | Equations (978) can reduce 420 to:
% 266.26/207.61 | (318) ~ (e3 = e1)
% 266.26/207.61 |
% 266.26/207.61 | Equations (978) can reduce 1068 to:
% 266.26/207.61 | (88) ~ (e3 = e0)
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (16070), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (443) all_0_27_27 = e2
% 266.26/207.61 |
% 266.26/207.61 | Combining equations (543,443) yields a new equation:
% 266.26/207.61 | (718) e2 = e1
% 266.26/207.61 |
% 266.26/207.61 | Equations (718) can reduce 329 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (500) ~ (all_0_27_27 = e2)
% 266.26/207.61 | (16095) all_0_32_32 = e2 | all_0_37_37 = e2
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (16095), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (1101) all_0_32_32 = e2
% 266.26/207.61 |
% 266.26/207.61 | Equations (1101) can reduce 508 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (508) ~ (all_0_32_32 = e2)
% 266.26/207.61 | (805) all_0_37_37 = e2
% 266.26/207.61 |
% 266.26/207.61 | Equations (805) can reduce 2658 to:
% 266.26/207.61 | (444) ~ (e4 = e2)
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 444 yields:
% 266.26/207.61 | (19) ~ (e4 = e2)
% 266.26/207.61 |
% 266.26/207.61 | Equations (805) can reduce 2562 to:
% 266.26/207.61 | (329) ~ (e2 = e1)
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (232), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (1970) all_0_17_17 = e3
% 266.26/207.61 |
% 266.26/207.61 | Combining equations (865,1970) yields a new equation:
% 266.26/207.61 | (690) e4 = e3
% 266.26/207.61 |
% 266.26/207.61 | Simplifying 690 yields:
% 266.26/207.61 | (691) e4 = e3
% 266.26/207.61 |
% 266.26/207.61 | Equations (691) can reduce 277 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (558) ~ (all_0_17_17 = e3)
% 266.26/207.61 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (1973), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (857) all_0_22_22 = e3
% 266.26/207.61 |
% 266.26/207.61 | Combining equations (847,857) yields a new equation:
% 266.26/207.61 | (980) e3 = e0
% 266.26/207.61 |
% 266.26/207.61 | Equations (980) can reduce 88 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (774) ~ (all_0_22_22 = e3)
% 266.26/207.61 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (3115), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (439) all_0_27_27 = e3
% 266.26/207.61 |
% 266.26/207.61 | Combining equations (543,439) yields a new equation:
% 266.26/207.61 | (706) e3 = e1
% 266.26/207.61 |
% 266.26/207.61 | Equations (706) can reduce 318 to:
% 266.26/207.61 | (366) $false
% 266.26/207.61 |
% 266.26/207.61 |-The branch is then unsatisfiable
% 266.26/207.61 |-Branch two:
% 266.26/207.61 | (400) ~ (all_0_27_27 = e3)
% 266.26/207.61 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 266.26/207.61 |
% 266.26/207.61 +-Applying beta-rule and splitting (3120), into two cases.
% 266.26/207.61 |-Branch one:
% 266.26/207.61 | (772) all_0_32_32 = e3
% 266.26/207.61 |
% 266.26/207.61 | Equations (772) can reduce 199 to:
% 266.26/207.61 | (2981) ~ (all_0_34_34 = e3)
% 266.26/207.61 |
% 266.26/207.62 | Simplifying 2981 yields:
% 266.26/207.62 | (1031) ~ (all_0_34_34 = e3)
% 266.26/207.62 |
% 266.26/207.62 | Equations (772) can reduce 727 to:
% 266.26/207.62 | (695) ~ (e4 = e3)
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 695 yields:
% 266.26/207.62 | (277) ~ (e4 = e3)
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (1449), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1229) all_0_32_32 = e4
% 266.26/207.62 |
% 266.26/207.62 | Combining equations (1229,772) yields a new equation:
% 266.26/207.62 | (690) e4 = e3
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 690 yields:
% 266.26/207.62 | (691) e4 = e3
% 266.26/207.62 |
% 266.26/207.62 | Equations (691) can reduce 277 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (727) ~ (all_0_32_32 = e4)
% 266.26/207.62 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (2933), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1980) all_0_17_17 = e2
% 266.26/207.62 |
% 266.26/207.62 | Combining equations (865,1980) yields a new equation:
% 266.26/207.62 | (1111) e4 = e2
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 1111 yields:
% 266.26/207.62 | (539) e4 = e2
% 266.26/207.62 |
% 266.26/207.62 | Equations (539) can reduce 19 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (459) ~ (all_0_17_17 = e2)
% 266.26/207.62 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (2937), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1274) all_0_18_18 = e2
% 266.26/207.62 |
% 266.26/207.62 | Combining equations (1274,1278) yields a new equation:
% 266.26/207.62 | (717) e2 = e1
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 717 yields:
% 266.26/207.62 | (718) e2 = e1
% 266.26/207.62 |
% 266.26/207.62 | Equations (718) can reduce 329 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (666) ~ (all_0_18_18 = e2)
% 266.26/207.62 | (663) all_0_19_19 = e2
% 266.26/207.62 |
% 266.26/207.62 | Equations (663) can reduce 714 to:
% 266.26/207.62 | (444) ~ (e4 = e2)
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 444 yields:
% 266.26/207.62 | (19) ~ (e4 = e2)
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (1476), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (406) all_0_33_33 = e4
% 266.26/207.62 |
% 266.26/207.62 | Combining equations (414,406) yields a new equation:
% 266.26/207.62 | (539) e4 = e2
% 266.26/207.62 |
% 266.26/207.62 | Equations (539) can reduce 19 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (405) ~ (all_0_33_33 = e4)
% 266.26/207.62 | (723) all_0_34_34 = e4
% 266.26/207.62 |
% 266.26/207.62 | Equations (723) can reduce 1031 to:
% 266.26/207.62 | (277) ~ (e4 = e3)
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (1051), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1515) all_0_23_23 = e4
% 266.26/207.62 |
% 266.26/207.62 | Combining equations (978,1515) yields a new equation:
% 266.26/207.62 | (691) e4 = e3
% 266.26/207.62 |
% 266.26/207.62 | Equations (691) can reduce 277 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (578) ~ (all_0_23_23 = e4)
% 266.26/207.62 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.26/207.62 |
% 266.26/207.62 | Equations (978) can reduce 578 to:
% 266.26/207.62 | (695) ~ (e4 = e3)
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 695 yields:
% 266.26/207.62 | (277) ~ (e4 = e3)
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (1427), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1431) ~ (op(e4, e4) = e4)
% 266.26/207.62 |
% 266.26/207.62 | Using (1430) and (1431) yields:
% 266.26/207.62 | (821) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (1430) op(e4, e4) = e4
% 266.26/207.62 | (691) e4 = e3
% 266.26/207.62 |
% 266.26/207.62 | Equations (691) can reduce 277 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (1089) ~ (all_0_32_32 = e3)
% 266.26/207.62 | (1073) all_0_37_37 = e3
% 266.26/207.62 |
% 266.26/207.62 | Combining equations (1073,805) yields a new equation:
% 266.26/207.62 | (3874) e3 = e2
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 3874 yields:
% 266.26/207.62 | (764) e3 = e2
% 266.26/207.62 |
% 266.26/207.62 | Equations (764) can reduce 56 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (982) ~ (all_0_23_23 = e3)
% 266.26/207.62 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (3947), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1126) all_0_23_23 = e2
% 266.26/207.62 |
% 266.26/207.62 | Equations (1126) can reduce 810 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (810) ~ (all_0_23_23 = e2)
% 266.26/207.62 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (3951), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (3952) all_0_23_23 = e1
% 266.26/207.62 |
% 266.26/207.62 | Equations (3952) can reduce 420 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (420) ~ (all_0_23_23 = e1)
% 266.26/207.62 | (851) all_0_23_23 = e0
% 266.26/207.62 |
% 266.26/207.62 | Equations (851) can reduce 1068 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (419) ~ (all_0_18_18 = e1)
% 266.26/207.62 | (1153) all_0_18_18 = e0
% 266.26/207.62 |
% 266.26/207.62 | Equations (1153) can reduce 1156 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (869) ~ (all_0_17_17 = e4)
% 266.26/207.62 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (1961), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1970) all_0_17_17 = e3
% 266.26/207.62 |
% 266.26/207.62 | Equations (1970) can reduce 558 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (558) ~ (all_0_17_17 = e3)
% 266.26/207.62 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (1979), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1980) all_0_17_17 = e2
% 266.26/207.62 |
% 266.26/207.62 | Equations (1980) can reduce 459 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (459) ~ (all_0_17_17 = e2)
% 266.26/207.62 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (1983), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1498) all_0_17_17 = e1
% 266.26/207.62 |
% 266.26/207.62 | Equations (1498) can reduce 1501 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (1501) ~ (all_0_17_17 = e1)
% 266.26/207.62 | (823) all_0_17_17 = e0
% 266.26/207.62 |
% 266.26/207.62 | Equations (823) can reduce 2422 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (501) ~ (all_0_25_25 = e4)
% 266.26/207.62 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (8), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (464) all_0_15_15 = e4
% 266.26/207.62 |
% 266.26/207.62 | Combining equations (464,468) yields a new equation:
% 266.26/207.62 | (690) e4 = e3
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 690 yields:
% 266.26/207.62 | (691) e4 = e3
% 266.26/207.62 |
% 266.26/207.62 | Equations (691) can reduce 277 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (460) ~ (all_0_15_15 = e4)
% 266.26/207.62 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.26/207.62 |
% 266.26/207.62 | Equations (468) can reduce 460 to:
% 266.26/207.62 | (695) ~ (e4 = e3)
% 266.26/207.62 |
% 266.26/207.62 | Simplifying 695 yields:
% 266.26/207.62 | (277) ~ (e4 = e3)
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (1217), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1237) all_0_26_26 = e4
% 266.26/207.62 |
% 266.26/207.62 | Equations (1237) can reduce 582 to:
% 266.26/207.62 | (366) $false
% 266.26/207.62 |
% 266.26/207.62 |-The branch is then unsatisfiable
% 266.26/207.62 |-Branch two:
% 266.26/207.62 | (582) ~ (all_0_26_26 = e4)
% 266.26/207.62 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 266.26/207.62 |
% 266.26/207.62 +-Applying beta-rule and splitting (245), into two cases.
% 266.26/207.62 |-Branch one:
% 266.26/207.62 | (1158) all_0_25_25 = e4
% 266.26/207.62 |
% 266.35/207.62 | Equations (1158) can reduce 501 to:
% 266.35/207.62 | (366) $false
% 266.35/207.62 |
% 266.35/207.62 |-The branch is then unsatisfiable
% 266.35/207.62 |-Branch two:
% 266.35/207.62 | (501) ~ (all_0_25_25 = e4)
% 266.35/207.62 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.35/207.62 |
% 266.35/207.62 +-Applying beta-rule and splitting (1240), into two cases.
% 266.35/207.62 |-Branch one:
% 266.35/207.62 | (435) all_0_27_27 = e4
% 266.35/207.62 |
% 266.35/207.62 | Combining equations (543,435) yields a new equation:
% 266.35/207.62 | (480) e4 = e1
% 266.35/207.62 |
% 266.35/207.62 | Equations (480) can reduce 65 to:
% 266.35/207.62 | (366) $false
% 266.35/207.62 |
% 266.35/207.62 |-The branch is then unsatisfiable
% 266.35/207.62 |-Branch two:
% 266.35/207.62 | (404) ~ (all_0_27_27 = e4)
% 266.35/207.62 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 266.35/207.62 |
% 266.35/207.62 +-Applying beta-rule and splitting (914), into two cases.
% 266.35/207.62 |-Branch one:
% 266.35/207.62 | (1453) all_0_20_20 = e4
% 266.35/207.62 |
% 266.35/207.62 | Equations (1453) can reduce 496 to:
% 266.35/207.62 | (366) $false
% 266.35/207.62 |
% 266.35/207.62 |-The branch is then unsatisfiable
% 266.35/207.62 |-Branch two:
% 266.35/207.62 | (496) ~ (all_0_20_20 = e4)
% 266.35/207.62 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.35/207.62 |
% 266.35/207.62 +-Applying beta-rule and splitting (1245), into two cases.
% 266.35/207.62 |-Branch one:
% 266.35/207.62 | (892) all_0_28_28 = e4
% 266.35/207.62 |
% 266.35/207.62 | Combining equations (1044,892) yields a new equation:
% 266.35/207.62 | (490) e4 = e0
% 266.35/207.62 |
% 266.35/207.62 | Equations (490) can reduce 287 to:
% 266.35/207.62 | (366) $false
% 266.35/207.62 |
% 266.35/207.62 |-The branch is then unsatisfiable
% 266.35/207.62 |-Branch two:
% 266.35/207.62 | (890) ~ (all_0_28_28 = e4)
% 266.35/207.62 | (1250) all_0_29_29 = e4
% 266.35/207.62 |
% 266.35/207.62 | Equations (1250) can reduce 62 to:
% 266.35/207.62 | (501) ~ (all_0_25_25 = e4)
% 266.35/207.62 |
% 266.35/207.62 | Equations (1250) can reduce 41 to:
% 266.35/207.62 | (2206) ~ (all_0_34_34 = e4)
% 266.35/207.62 |
% 266.35/207.62 | Simplifying 2206 yields:
% 266.35/207.62 | (1395) ~ (all_0_34_34 = e4)
% 266.35/207.62 |
% 266.35/207.62 | Equations (1250) can reduce 383 to:
% 266.35/207.62 | (287) ~ (e4 = e0)
% 266.35/207.62 |
% 266.35/207.62 +-Applying beta-rule and splitting (1456), into two cases.
% 266.35/207.62 |-Branch one:
% 266.35/207.62 | (1158) all_0_25_25 = e4
% 266.35/207.62 |
% 266.35/207.62 | Equations (1158) can reduce 501 to:
% 266.35/207.62 | (366) $false
% 266.35/207.62 |
% 266.35/207.62 |-The branch is then unsatisfiable
% 266.35/207.62 |-Branch two:
% 266.35/207.62 | (501) ~ (all_0_25_25 = e4)
% 266.35/207.62 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 266.35/207.62 |
% 266.35/207.62 +-Applying beta-rule and splitting (3136), into two cases.
% 266.35/207.62 |-Branch one:
% 266.35/207.62 | (2438) all_0_25_25 = e3
% 266.35/207.62 |
% 266.35/207.62 | Equations (2438) can reduce 566 to:
% 266.35/207.62 | (366) $false
% 266.35/207.62 |
% 266.35/207.62 |-The branch is then unsatisfiable
% 266.35/207.62 |-Branch two:
% 266.35/207.62 | (566) ~ (all_0_25_25 = e3)
% 266.35/207.62 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.35/207.62 |
% 266.35/207.62 +-Applying beta-rule and splitting (168), into two cases.
% 266.35/207.62 |-Branch one:
% 266.35/207.62 | (2438) all_0_25_25 = e3
% 266.35/207.62 |
% 266.35/207.62 | Equations (2438) can reduce 566 to:
% 266.35/207.62 | (366) $false
% 266.35/207.62 |
% 266.35/207.62 |-The branch is then unsatisfiable
% 266.35/207.62 |-Branch two:
% 266.35/207.62 | (566) ~ (all_0_25_25 = e3)
% 266.35/207.62 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.35/207.62 |
% 266.35/207.62 +-Applying beta-rule and splitting (3158), into two cases.
% 266.35/207.62 |-Branch one:
% 266.35/207.62 | (3159) all_0_25_25 = e2
% 266.35/207.62 |
% 266.35/207.62 | Equations (3159) can reduce 501 to:
% 266.35/207.62 | (444) ~ (e4 = e2)
% 266.35/207.62 |
% 266.35/207.62 | Simplifying 444 yields:
% 266.35/207.62 | (19) ~ (e4 = e2)
% 266.35/207.62 |
% 266.35/207.62 +-Applying beta-rule and splitting (2442), into two cases.
% 266.35/207.62 |-Branch one:
% 266.35/207.62 | (2443) all_0_26_26 = e3
% 266.35/207.62 |
% 266.35/207.62 | From (2443) and (19079) follows:
% 266.35/207.63 | (14514) op(e0, e3) = e2
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (115), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1446) all_0_31_31 = e4
% 266.35/207.63 |
% 266.35/207.63 | Equations (1446) can reduce 584 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (584) ~ (all_0_31_31 = e4)
% 266.35/207.63 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (327), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (768) all_0_30_30 = e4
% 266.35/207.63 |
% 266.35/207.63 | Combining equations (790,768) yields a new equation:
% 266.35/207.63 | (490) e4 = e0
% 266.35/207.63 |
% 266.35/207.63 | Equations (490) can reduce 287 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (509) ~ (all_0_30_30 = e4)
% 266.35/207.63 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (1437), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1446) all_0_31_31 = e4
% 266.35/207.63 |
% 266.35/207.63 | Equations (1446) can reduce 584 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (584) ~ (all_0_31_31 = e4)
% 266.35/207.63 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (1449), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1229) all_0_32_32 = e4
% 266.35/207.63 |
% 266.35/207.63 | Equations (1229) can reduce 336 to:
% 266.35/207.63 | (3299) ~ (all_0_37_37 = e4)
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 3299 yields:
% 266.35/207.63 | (2658) ~ (all_0_37_37 = e4)
% 266.35/207.63 |
% 266.35/207.63 | Equations (1229) can reduce 424 to:
% 266.35/207.63 | (65) ~ (e4 = e1)
% 266.35/207.63 |
% 266.35/207.63 | Equations (1229) can reduce 1946 to:
% 266.35/207.63 | (287) ~ (e4 = e0)
% 266.35/207.63 |
% 266.35/207.63 | From (1229) and (19101) follows:
% 266.35/207.63 | (3980) op(e0, e4) = e1
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (137), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1515) all_0_23_23 = e4
% 266.35/207.63 |
% 266.35/207.63 | Equations (1515) can reduce 578 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (578) ~ (all_0_23_23 = e4)
% 266.35/207.63 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (3304), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (3981) ~ (op(e0, e4) = e1)
% 266.35/207.63 |
% 266.35/207.63 | Using (3980) and (3981) yields:
% 266.35/207.63 | (821) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (3980) op(e0, e4) = e1
% 266.35/207.63 | (1196) all_0_35_35 = e1
% 266.35/207.63 |
% 266.35/207.63 | Equations (1196) can reduce 121 to:
% 266.35/207.63 | (2561) ~ (all_0_37_37 = e1)
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 2561 yields:
% 266.35/207.63 | (2562) ~ (all_0_37_37 = e1)
% 266.35/207.63 |
% 266.35/207.63 | Equations (1196) can reduce 173 to:
% 266.35/207.63 | (427) ~ (all_0_38_38 = e1)
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 427 yields:
% 266.35/207.63 | (428) ~ (all_0_38_38 = e1)
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (14420), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (14524) ~ (op(e0, e3) = e2)
% 266.35/207.63 |
% 266.35/207.63 | Using (14514) and (14524) yields:
% 266.35/207.63 | (821) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (14514) op(e0, e3) = e2
% 266.35/207.63 | (801) all_0_36_36 = e2
% 266.35/207.63 |
% 266.35/207.63 | Equations (801) can reduce 183 to:
% 266.35/207.63 | (654) ~ (all_0_37_37 = e2)
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 654 yields:
% 266.35/207.63 | (515) ~ (all_0_37_37 = e2)
% 266.35/207.63 |
% 266.35/207.63 | Equations (801) can reduce 586 to:
% 266.35/207.63 | (444) ~ (e4 = e2)
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 444 yields:
% 266.35/207.63 | (19) ~ (e4 = e2)
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (271), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1232) all_0_37_37 = e4
% 266.35/207.63 |
% 266.35/207.63 | Equations (1232) can reduce 2658 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (2658) ~ (all_0_37_37 = e4)
% 266.35/207.63 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (3872), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1073) all_0_37_37 = e3
% 266.35/207.63 |
% 266.35/207.63 | Equations (1073) can reduce 354 to:
% 266.35/207.63 | (2070) ~ (all_0_38_38 = e3)
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 2070 yields:
% 266.35/207.63 | (1080) ~ (all_0_38_38 = e3)
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (358), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1165) all_0_38_38 = e4
% 266.35/207.63 |
% 266.35/207.63 | Equations (1165) can reduce 1080 to:
% 266.35/207.63 | (277) ~ (e4 = e3)
% 266.35/207.63 |
% 266.35/207.63 | Equations (1165) can reduce 428 to:
% 266.35/207.63 | (65) ~ (e4 = e1)
% 266.35/207.63 |
% 266.35/207.63 | Equations (1165) can reduce 388 to:
% 266.35/207.63 | (287) ~ (e4 = e0)
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (166), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (464) all_0_15_15 = e4
% 266.35/207.63 |
% 266.35/207.63 | Combining equations (464,468) yields a new equation:
% 266.35/207.63 | (690) e4 = e3
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 690 yields:
% 266.35/207.63 | (691) e4 = e3
% 266.35/207.63 |
% 266.35/207.63 | Equations (691) can reduce 277 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (460) ~ (all_0_15_15 = e4)
% 266.35/207.63 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (694), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (701) all_0_16_16 = e4
% 266.35/207.63 |
% 266.35/207.63 | Combining equations (701,873) yields a new equation:
% 266.35/207.63 | (842) e4 = e0
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 842 yields:
% 266.35/207.63 | (490) e4 = e0
% 266.35/207.63 |
% 266.35/207.63 | Equations (490) can reduce 287 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (573) ~ (all_0_16_16 = e4)
% 266.35/207.63 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.35/207.63 |
% 266.35/207.63 | Equations (873) can reduce 573 to:
% 266.35/207.63 | (389) ~ (e4 = e0)
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 389 yields:
% 266.35/207.63 | (287) ~ (e4 = e0)
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (1460), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (768) all_0_30_30 = e4
% 266.35/207.63 |
% 266.35/207.63 | Combining equations (790,768) yields a new equation:
% 266.35/207.63 | (490) e4 = e0
% 266.35/207.63 |
% 266.35/207.63 | Equations (490) can reduce 287 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (509) ~ (all_0_30_30 = e4)
% 266.35/207.63 | (1161) all_0_35_35 = e4
% 266.35/207.63 |
% 266.35/207.63 | Combining equations (1196,1161) yields a new equation:
% 266.35/207.63 | (480) e4 = e1
% 266.35/207.63 |
% 266.35/207.63 | Equations (480) can reduce 65 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (1143) ~ (all_0_38_38 = e4)
% 266.35/207.63 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (36), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (887) all_0_18_18 = e4
% 266.35/207.63 |
% 266.35/207.63 | From (887) and (19048) follows:
% 266.35/207.63 | (19463) op(e0, e4) = e4
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (259), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1278) all_0_18_18 = e1
% 266.35/207.63 |
% 266.35/207.63 | Combining equations (1278,887) yields a new equation:
% 266.35/207.63 | (480) e4 = e1
% 266.35/207.63 |
% 266.35/207.63 | Equations (480) can reduce 65 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (419) ~ (all_0_18_18 = e1)
% 266.35/207.63 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.35/207.63 |
% 266.35/207.63 | Equations (887) can reduce 419 to:
% 266.35/207.63 | (65) ~ (e4 = e1)
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (165), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (1161) all_0_35_35 = e4
% 266.35/207.63 |
% 266.35/207.63 | Combining equations (1161,1196) yields a new equation:
% 266.35/207.63 | (955) e4 = e1
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 955 yields:
% 266.35/207.63 | (480) e4 = e1
% 266.35/207.63 |
% 266.35/207.63 | Equations (480) can reduce 65 to:
% 266.35/207.63 | (366) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.63 | (514) ~ (all_0_35_35 = e4)
% 266.35/207.63 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.35/207.63 |
% 266.35/207.63 | Equations (1196) can reduce 514 to:
% 266.35/207.63 | (477) ~ (e4 = e1)
% 266.35/207.63 |
% 266.35/207.63 | Simplifying 477 yields:
% 266.35/207.63 | (65) ~ (e4 = e1)
% 266.35/207.63 |
% 266.35/207.63 +-Applying beta-rule and splitting (19107), into two cases.
% 266.35/207.63 |-Branch one:
% 266.35/207.63 | (19478) ~ (op(e0, e4) = e4)
% 266.35/207.63 |
% 266.35/207.63 | Using (19463) and (19478) yields:
% 266.35/207.63 | (821) $false
% 266.35/207.63 |
% 266.35/207.63 |-The branch is then unsatisfiable
% 266.35/207.63 |-Branch two:
% 266.35/207.64 | (19463) op(e0, e4) = e4
% 266.35/207.64 | (1161) all_0_35_35 = e4
% 266.35/207.64 |
% 266.35/207.64 | Combining equations (1161,1196) yields a new equation:
% 266.35/207.64 | (955) e4 = e1
% 266.35/207.64 |
% 266.35/207.64 | Simplifying 955 yields:
% 266.35/207.64 | (480) e4 = e1
% 266.35/207.64 |
% 266.35/207.64 | Equations (480) can reduce 65 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (1046) ~ (all_0_18_18 = e4)
% 266.35/207.64 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (1051), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (1515) all_0_23_23 = e4
% 266.35/207.64 |
% 266.35/207.64 | Equations (1515) can reduce 578 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (578) ~ (all_0_23_23 = e4)
% 266.35/207.64 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (1518), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (892) all_0_28_28 = e4
% 266.35/207.64 |
% 266.35/207.64 | Combining equations (1044,892) yields a new equation:
% 266.35/207.64 | (490) e4 = e0
% 266.35/207.64 |
% 266.35/207.64 | Equations (490) can reduce 287 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (890) ~ (all_0_28_28 = e4)
% 266.35/207.64 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (1522), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (406) all_0_33_33 = e4
% 266.35/207.64 |
% 266.35/207.64 | Combining equations (406,414) yields a new equation:
% 266.35/207.64 | (1111) e4 = e2
% 266.35/207.64 |
% 266.35/207.64 | Simplifying 1111 yields:
% 266.35/207.64 | (539) e4 = e2
% 266.35/207.64 |
% 266.35/207.64 | Equations (539) can reduce 19 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (405) ~ (all_0_33_33 = e4)
% 266.35/207.64 | (1165) all_0_38_38 = e4
% 266.35/207.64 |
% 266.35/207.64 | Equations (1165) can reduce 1143 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (777) ~ (all_0_37_37 = e3)
% 266.35/207.64 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (3886), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (805) all_0_37_37 = e2
% 266.35/207.64 |
% 266.35/207.64 | Equations (805) can reduce 515 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (515) ~ (all_0_37_37 = e2)
% 266.35/207.64 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (3890), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (1590) all_0_37_37 = e1
% 266.35/207.64 |
% 266.35/207.64 | Equations (1590) can reduce 2562 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (2562) ~ (all_0_37_37 = e1)
% 266.35/207.64 | (3111) all_0_37_37 = e0
% 266.35/207.64 |
% 266.35/207.64 | Equations (3111) can reduce 387 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (727) ~ (all_0_32_32 = e4)
% 266.35/207.64 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (1476), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (406) all_0_33_33 = e4
% 266.35/207.64 |
% 266.35/207.64 | Combining equations (414,406) yields a new equation:
% 266.35/207.64 | (539) e4 = e2
% 266.35/207.64 |
% 266.35/207.64 | Equations (539) can reduce 19 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (405) ~ (all_0_33_33 = e4)
% 266.35/207.64 | (723) all_0_34_34 = e4
% 266.35/207.64 |
% 266.35/207.64 | Equations (723) can reduce 1395 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (504) ~ (all_0_26_26 = e3)
% 266.35/207.64 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (2448), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (439) all_0_27_27 = e3
% 266.35/207.64 |
% 266.35/207.64 | Combining equations (543,439) yields a new equation:
% 266.35/207.64 | (706) e3 = e1
% 266.35/207.64 |
% 266.35/207.64 | Equations (706) can reduce 318 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (400) ~ (all_0_27_27 = e3)
% 266.35/207.64 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (2453), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (896) all_0_28_28 = e3
% 266.35/207.64 |
% 266.35/207.64 | Combining equations (1044,896) yields a new equation:
% 266.35/207.64 | (980) e3 = e0
% 266.35/207.64 |
% 266.35/207.64 | Equations (980) can reduce 88 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (1035) ~ (all_0_28_28 = e3)
% 266.35/207.64 | (1023) all_0_29_29 = e3
% 266.35/207.64 |
% 266.35/207.64 | Combining equations (1250,1023) yields a new equation:
% 266.35/207.64 | (690) e4 = e3
% 266.35/207.64 |
% 266.35/207.64 | Simplifying 690 yields:
% 266.35/207.64 | (691) e4 = e3
% 266.35/207.64 |
% 266.35/207.64 | Equations (691) can reduce 277 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (646) ~ (all_0_25_25 = e2)
% 266.35/207.64 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (3162), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (950) all_0_25_25 = e1
% 266.35/207.64 |
% 266.35/207.64 | Equations (950) can reduce 946 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (946) ~ (all_0_25_25 = e1)
% 266.35/207.64 | (1921) all_0_25_25 = e0
% 266.35/207.64 |
% 266.35/207.64 | Equations (1921) can reduce 1925 to:
% 266.35/207.64 | (366) $false
% 266.35/207.64 |
% 266.35/207.64 |-The branch is then unsatisfiable
% 266.35/207.64 |-Branch two:
% 266.35/207.64 | (18224) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.35/207.64 |
% 266.35/207.64 | Applying alpha-rule on (18224) yields:
% 266.35/207.64 | (18221) all_0_8_8 = all_0_28_28
% 266.35/207.64 | (18226) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.35/207.64 |
% 266.35/207.64 +-Applying beta-rule and splitting (18226), into two cases.
% 266.35/207.64 |-Branch one:
% 266.35/207.64 | (19547) ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6
% 266.35/207.64 |
% 266.35/207.64 | Applying alpha-rule on (19547) yields:
% 266.35/207.64 | (19548) ~ (all_0_6_6 = e3)
% 266.35/207.64 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 266.35/207.64 |
% 266.35/207.64 | From (1044) and (19549) follows:
% 266.35/207.65 | (19550) op(e2, e0) = all_0_6_6
% 266.35/207.65 |
% 266.35/207.65 | Instantiating formula (97) with e3, e0, e3, all_0_24_24 and discharging atoms op(e3, e0) = all_0_24_24, yields:
% 266.35/207.65 | (19551) all_0_24_24 = e3 | ~ (op(e3, e0) = e3)
% 266.35/207.65 |
% 266.35/207.65 | Instantiating formula (97) with e2, e0, all_0_6_6, e4 and discharging atoms op(e2, e0) = all_0_6_6, yields:
% 266.35/207.65 | (19552) all_0_6_6 = e4 | ~ (op(e2, e0) = e4)
% 266.35/207.65 |
% 266.35/207.65 | Instantiating formula (97) with e2, e0, all_0_6_6, all_0_29_29 and discharging atoms op(e2, e0) = all_0_6_6, op(e2, e0) = all_0_29_29, yields:
% 266.35/207.65 | (19553) all_0_6_6 = all_0_29_29
% 266.35/207.65 |
% 266.35/207.65 | Instantiating formula (97) with e0, e3, e2, all_0_36_36 and discharging atoms op(e0, e3) = all_0_36_36, yields:
% 266.35/207.65 | (14420) all_0_36_36 = e2 | ~ (op(e0, e3) = e2)
% 266.35/207.65 |
% 266.35/207.65 | Equations (19553) can reduce 19548 to:
% 266.35/207.65 | (898) ~ (all_0_29_29 = e3)
% 266.35/207.65 |
% 266.35/207.65 +-Applying beta-rule and splitting (168), into two cases.
% 266.35/207.65 |-Branch one:
% 266.35/207.65 | (2438) all_0_25_25 = e3
% 266.35/207.65 |
% 266.35/207.65 | Equations (2438) can reduce 566 to:
% 266.35/207.65 | (366) $false
% 266.35/207.65 |
% 266.35/207.65 |-The branch is then unsatisfiable
% 266.35/207.65 |-Branch two:
% 266.35/207.65 | (566) ~ (all_0_25_25 = e3)
% 266.35/207.65 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.35/207.65 |
% 266.35/207.65 +-Applying beta-rule and splitting (2442), into two cases.
% 266.35/207.65 |-Branch one:
% 266.35/207.65 | (2443) all_0_26_26 = e3
% 266.35/207.65 |
% 266.35/207.65 | Equations (2443) can reduce 128 to:
% 266.35/207.65 | (566) ~ (all_0_25_25 = e3)
% 266.35/207.65 |
% 266.35/207.65 | Equations (2443) can reduce 1008 to:
% 266.35/207.65 | (318) ~ (e3 = e1)
% 266.35/207.65 |
% 266.35/207.65 | From (2443) and (19080) follows:
% 266.35/207.65 | (19563) op(e3, e0) = e3
% 266.35/207.65 |
% 266.35/207.65 | From (2443) and (19079) follows:
% 266.35/207.65 | (14514) op(e0, e3) = e2
% 266.35/207.65 |
% 266.35/207.65 +-Applying beta-rule and splitting (14420), into two cases.
% 266.35/207.65 |-Branch one:
% 266.35/207.65 | (14524) ~ (op(e0, e3) = e2)
% 266.35/207.65 |
% 266.35/207.65 | Using (14514) and (14524) yields:
% 266.35/207.65 | (821) $false
% 266.35/207.65 |
% 266.35/207.65 |-The branch is then unsatisfiable
% 266.35/207.65 |-Branch two:
% 266.35/207.65 | (14514) op(e0, e3) = e2
% 266.35/207.65 | (801) all_0_36_36 = e2
% 266.35/207.65 |
% 266.35/207.65 | Equations (801) can reduce 273 to:
% 266.35/207.65 | (742) ~ (all_0_35_35 = e2)
% 266.35/207.65 |
% 266.35/207.65 | Equations (801) can reduce 183 to:
% 266.35/207.65 | (654) ~ (all_0_37_37 = e2)
% 266.35/207.65 |
% 266.35/207.65 | Simplifying 654 yields:
% 266.35/207.65 | (515) ~ (all_0_37_37 = e2)
% 266.35/207.65 |
% 266.35/207.65 | Equations (801) can reduce 386 to:
% 266.35/207.65 | (347) ~ (e2 = e0)
% 266.35/207.65 |
% 266.35/207.65 +-Applying beta-rule and splitting (228), into two cases.
% 266.35/207.65 |-Branch one:
% 266.35/207.65 | (921) all_0_16_16 = e1
% 266.35/207.65 |
% 266.35/207.65 | Combining equations (873,921) yields a new equation:
% 266.35/207.65 | (961) e1 = e0
% 266.35/207.65 |
% 266.35/207.65 | Equations (961) can reduce 37 to:
% 266.35/207.65 | (366) $false
% 266.35/207.65 |
% 266.35/207.65 |-The branch is then unsatisfiable
% 266.35/207.65 |-Branch two:
% 266.35/207.65 | (985) ~ (all_0_16_16 = e1)
% 266.35/207.65 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 266.35/207.65 |
% 266.35/207.65 +-Applying beta-rule and splitting (203), into two cases.
% 266.35/207.65 |-Branch one:
% 266.35/207.65 | (1980) all_0_17_17 = e2
% 266.35/207.65 |
% 266.35/207.65 | Equations (1980) can reduce 333 to:
% 266.35/207.65 | (7443) ~ (all_0_19_19 = e2)
% 266.35/207.65 |
% 266.35/207.65 | Simplifying 7443 yields:
% 266.35/207.65 | (2785) ~ (all_0_19_19 = e2)
% 266.35/207.65 |
% 266.35/207.65 | Equations (1980) can reduce 558 to:
% 266.35/207.65 | (658) ~ (e3 = e2)
% 266.35/207.65 |
% 266.35/207.65 | Simplifying 658 yields:
% 266.35/207.65 | (56) ~ (e3 = e2)
% 266.35/207.65 |
% 266.35/207.65 | Equations (1980) can reduce 1501 to:
% 266.35/207.65 | (329) ~ (e2 = e1)
% 266.35/207.65 |
% 266.35/207.65 | Equations (1980) can reduce 2422 to:
% 266.35/207.65 | (347) ~ (e2 = e0)
% 266.35/207.65 |
% 266.35/207.65 +-Applying beta-rule and splitting (986), into two cases.
% 266.35/207.65 |-Branch one:
% 266.35/207.65 | (526) all_0_21_21 = e1
% 266.35/207.65 |
% 266.35/207.65 | Combining equations (449,526) yields a new equation:
% 266.35/207.65 | (955) e4 = e1
% 266.35/207.65 |
% 266.35/207.65 | Simplifying 955 yields:
% 266.35/207.65 | (480) e4 = e1
% 266.35/207.65 |
% 266.35/207.65 | Equations (480) can reduce 65 to:
% 266.35/207.65 | (366) $false
% 266.35/207.65 |
% 266.35/207.65 |-The branch is then unsatisfiable
% 266.35/207.65 |-Branch two:
% 266.35/207.65 | (363) ~ (all_0_21_21 = e1)
% 266.35/207.65 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 266.35/207.65 |
% 266.35/207.65 +-Applying beta-rule and splitting (998), into two cases.
% 266.35/207.65 |-Branch one:
% 266.35/207.65 | (1005) all_0_26_26 = e1
% 266.35/207.65 |
% 266.35/207.65 | Combining equations (2443,1005) yields a new equation:
% 266.35/207.65 | (933) e3 = e1
% 266.35/207.65 |
% 266.35/207.65 | Simplifying 933 yields:
% 266.35/207.65 | (706) e3 = e1
% 266.35/207.65 |
% 266.35/207.65 | Equations (706) can reduce 318 to:
% 266.35/207.65 | (366) $false
% 266.35/207.65 |
% 266.35/207.65 |-The branch is then unsatisfiable
% 266.35/207.65 |-Branch two:
% 266.35/207.65 | (1008) ~ (all_0_26_26 = e1)
% 266.35/207.65 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 266.35/207.65 |
% 266.35/207.65 +-Applying beta-rule and splitting (19551), into two cases.
% 266.35/207.65 |-Branch one:
% 266.35/207.65 | (19597) ~ (op(e3, e0) = e3)
% 266.35/207.65 |
% 266.35/207.66 | Using (19563) and (19597) yields:
% 266.35/207.66 | (821) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (19563) op(e3, e0) = e3
% 266.35/207.66 | (939) all_0_24_24 = e3
% 266.35/207.66 |
% 266.35/207.66 | Equations (939) can reduce 87 to:
% 266.35/207.66 | (562) ~ (all_0_19_19 = e3)
% 266.35/207.66 |
% 266.35/207.66 | Equations (939) can reduce 167 to:
% 266.35/207.66 | (564) ~ (all_0_20_20 = e3)
% 266.35/207.66 |
% 266.35/207.66 | Equations (939) can reduce 118 to:
% 266.35/207.66 | (982) ~ (all_0_23_23 = e3)
% 266.35/207.66 |
% 266.35/207.66 | Equations (939) can reduce 382 to:
% 266.35/207.66 | (88) ~ (e3 = e0)
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (51), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (736) all_0_20_20 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (736) can reduce 95 to:
% 266.35/207.66 | (10236) ~ (all_0_25_25 = e2)
% 266.35/207.66 |
% 266.35/207.66 | Simplifying 10236 yields:
% 266.35/207.66 | (646) ~ (all_0_25_25 = e2)
% 266.35/207.66 |
% 266.35/207.66 | From (736) and (5587) follows:
% 266.35/207.66 | (5715) op(e2, e0) = e4
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (19552), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (5720) ~ (op(e2, e0) = e4)
% 266.35/207.66 |
% 266.35/207.66 | Using (5715) and (5720) yields:
% 266.35/207.66 | (821) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (5715) op(e2, e0) = e4
% 266.35/207.66 | (19612) all_0_6_6 = e4
% 266.35/207.66 |
% 266.35/207.66 | Combining equations (19612,19553) yields a new equation:
% 266.35/207.66 | (1250) all_0_29_29 = e4
% 266.35/207.66 |
% 266.35/207.66 | Equations (1250) can reduce 62 to:
% 266.35/207.66 | (501) ~ (all_0_25_25 = e4)
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (245), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (1158) all_0_25_25 = e4
% 266.35/207.66 |
% 266.35/207.66 | Equations (1158) can reduce 501 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (501) ~ (all_0_25_25 = e4)
% 266.35/207.66 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (23), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (3159) all_0_25_25 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (3159) can reduce 646 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (646) ~ (all_0_25_25 = e2)
% 266.35/207.66 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (3136), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (2438) all_0_25_25 = e3
% 266.35/207.66 |
% 266.35/207.66 | Equations (2438) can reduce 566 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (566) ~ (all_0_25_25 = e3)
% 266.35/207.66 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (3158), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (3159) all_0_25_25 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (3159) can reduce 646 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (646) ~ (all_0_25_25 = e2)
% 266.35/207.66 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (3162), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (950) all_0_25_25 = e1
% 266.35/207.66 |
% 266.35/207.66 | Equations (950) can reduce 946 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (946) ~ (all_0_25_25 = e1)
% 266.35/207.66 | (1921) all_0_25_25 = e0
% 266.35/207.66 |
% 266.35/207.66 | Equations (1921) can reduce 1925 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (1114) ~ (all_0_20_20 = e2)
% 266.35/207.66 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (137), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (1515) all_0_23_23 = e4
% 266.35/207.66 |
% 266.35/207.66 | Equations (1515) can reduce 578 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (578) ~ (all_0_23_23 = e4)
% 266.35/207.66 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (1009), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (1010) all_0_31_31 = e1
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (162), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (472) all_0_15_15 = e2
% 266.35/207.66 |
% 266.35/207.66 | Combining equations (468,472) yields a new equation:
% 266.35/207.66 | (3874) e3 = e2
% 266.35/207.66 |
% 266.35/207.66 | Simplifying 3874 yields:
% 266.35/207.66 | (764) e3 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (764) can reduce 56 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (447) ~ (all_0_15_15 = e2)
% 266.35/207.66 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (468) can reduce 447 to:
% 266.35/207.66 | (56) ~ (e3 = e2)
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (231), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (1453) all_0_20_20 = e4
% 266.35/207.66 |
% 266.35/207.66 | Equations (1453) can reduce 496 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (496) ~ (all_0_20_20 = e4)
% 266.35/207.66 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (155), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (759) all_0_30_30 = e3
% 266.35/207.66 |
% 266.35/207.66 | Combining equations (790,759) yields a new equation:
% 266.35/207.66 | (980) e3 = e0
% 266.35/207.66 |
% 266.35/207.66 | Equations (980) can reduce 88 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (568) ~ (all_0_30_30 = e3)
% 266.35/207.66 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 266.35/207.66 |
% 266.35/207.66 | Equations (790) can reduce 568 to:
% 266.35/207.66 | (391) ~ (e3 = e0)
% 266.35/207.66 |
% 266.35/207.66 | Simplifying 391 yields:
% 266.35/207.66 | (88) ~ (e3 = e0)
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (32), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (716) all_0_19_19 = e1
% 266.35/207.66 |
% 266.35/207.66 | Equations (716) can reduce 337 to:
% 266.35/207.66 | (419) ~ (all_0_18_18 = e1)
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (2301), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (903) all_0_20_20 = e3
% 266.35/207.66 |
% 266.35/207.66 | Equations (903) can reduce 564 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (564) ~ (all_0_20_20 = e3)
% 266.35/207.66 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (2921), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (736) all_0_20_20 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (736) can reduce 1114 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (1114) ~ (all_0_20_20 = e2)
% 266.35/207.66 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (10030), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (3159) all_0_25_25 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (3159) can reduce 95 to:
% 266.35/207.66 | (1114) ~ (all_0_20_20 = e2)
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (3943), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (978) all_0_23_23 = e3
% 266.35/207.66 |
% 266.35/207.66 | Equations (978) can reduce 982 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (982) ~ (all_0_23_23 = e3)
% 266.35/207.66 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (3947), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (1126) all_0_23_23 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (1126) can reduce 810 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (810) ~ (all_0_23_23 = e2)
% 266.35/207.66 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (2305), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (736) all_0_20_20 = e2
% 266.35/207.66 |
% 266.35/207.66 | Equations (736) can reduce 1114 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (1114) ~ (all_0_20_20 = e2)
% 266.35/207.66 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (2309), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (1175) all_0_20_20 = e1
% 266.35/207.66 |
% 266.35/207.66 | Equations (1175) can reduce 272 to:
% 266.35/207.66 | (3684) ~ (all_0_23_23 = e1)
% 266.35/207.66 |
% 266.35/207.66 | Simplifying 3684 yields:
% 266.35/207.66 | (420) ~ (all_0_23_23 = e1)
% 266.35/207.66 |
% 266.35/207.66 +-Applying beta-rule and splitting (259), into two cases.
% 266.35/207.66 |-Branch one:
% 266.35/207.66 | (1278) all_0_18_18 = e1
% 266.35/207.66 |
% 266.35/207.66 | Equations (1278) can reduce 419 to:
% 266.35/207.66 | (366) $false
% 266.35/207.66 |
% 266.35/207.66 |-The branch is then unsatisfiable
% 266.35/207.66 |-Branch two:
% 266.35/207.66 | (419) ~ (all_0_18_18 = e1)
% 266.35/207.67 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (8300), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (3952) all_0_23_23 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (3952) can reduce 420 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (420) ~ (all_0_23_23 = e1)
% 266.35/207.67 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (3951), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (3952) all_0_23_23 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (3952) can reduce 420 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (420) ~ (all_0_23_23 = e1)
% 266.35/207.67 | (851) all_0_23_23 = e0
% 266.35/207.67 |
% 266.35/207.67 | Equations (851) can reduce 1068 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (1409) ~ (all_0_20_20 = e1)
% 266.35/207.67 | (835) all_0_20_20 = e0
% 266.35/207.67 |
% 266.35/207.67 | Equations (835) can reduce 839 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (646) ~ (all_0_25_25 = e2)
% 266.35/207.67 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (16274), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (747) all_0_30_30 = e2
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (790,747) yields a new equation:
% 266.35/207.67 | (551) e2 = e0
% 266.35/207.67 |
% 266.35/207.67 | Equations (551) can reduce 347 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (740) ~ (all_0_30_30 = e2)
% 266.35/207.67 | (797) all_0_35_35 = e2
% 266.35/207.67 |
% 266.35/207.67 | Equations (797) can reduce 742 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (720) ~ (all_0_19_19 = e1)
% 266.35/207.67 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (225), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (711) all_0_19_19 = e4
% 266.35/207.67 |
% 266.35/207.67 | Equations (711) can reduce 337 to:
% 266.35/207.67 | (1046) ~ (all_0_18_18 = e4)
% 266.35/207.67 |
% 266.35/207.67 | Equations (711) can reduce 562 to:
% 266.35/207.67 | (277) ~ (e4 = e3)
% 266.35/207.67 |
% 266.35/207.67 | Equations (711) can reduce 2785 to:
% 266.35/207.67 | (19) ~ (e4 = e2)
% 266.35/207.67 |
% 266.35/207.67 | Equations (711) can reduce 381 to:
% 266.35/207.67 | (287) ~ (e4 = e0)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (36), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (887) all_0_18_18 = e4
% 266.35/207.67 |
% 266.35/207.67 | Equations (887) can reduce 1046 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (1046) ~ (all_0_18_18 = e4)
% 266.35/207.67 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (269), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (1134) all_0_18_18 = e3
% 266.35/207.67 |
% 266.35/207.67 | Equations (1134) can reduce 560 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (560) ~ (all_0_18_18 = e3)
% 266.35/207.67 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (3943), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (978) all_0_23_23 = e3
% 266.35/207.67 |
% 266.35/207.67 | Equations (978) can reduce 982 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (982) ~ (all_0_23_23 = e3)
% 266.35/207.67 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (3947), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (1126) all_0_23_23 = e2
% 266.35/207.67 |
% 266.35/207.67 | Equations (1126) can reduce 810 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (810) ~ (all_0_23_23 = e2)
% 266.35/207.67 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (3951), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (3952) all_0_23_23 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (3952) can reduce 272 to:
% 266.35/207.67 | (1409) ~ (all_0_20_20 = e1)
% 266.35/207.67 |
% 266.35/207.67 | Equations (3952) can reduce 578 to:
% 266.35/207.67 | (477) ~ (e4 = e1)
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 477 yields:
% 266.35/207.67 | (65) ~ (e4 = e1)
% 266.35/207.67 |
% 266.35/207.67 | Equations (3952) can reduce 982 to:
% 266.35/207.67 | (429) ~ (e3 = e1)
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 429 yields:
% 266.35/207.67 | (318) ~ (e3 = e1)
% 266.35/207.67 |
% 266.35/207.67 | Equations (3952) can reduce 1068 to:
% 266.35/207.67 | (37) ~ (e1 = e0)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (327), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (768) all_0_30_30 = e4
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (790,768) yields a new equation:
% 266.35/207.67 | (490) e4 = e0
% 266.35/207.67 |
% 266.35/207.67 | Equations (490) can reduce 287 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (509) ~ (all_0_30_30 = e4)
% 266.35/207.67 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.35/207.67 |
% 266.35/207.67 | Equations (790) can reduce 509 to:
% 266.35/207.67 | (389) ~ (e4 = e0)
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 389 yields:
% 266.35/207.67 | (287) ~ (e4 = e0)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (323), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (476) all_0_15_15 = e1
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (468,476) yields a new equation:
% 266.35/207.67 | (933) e3 = e1
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 933 yields:
% 266.35/207.67 | (706) e3 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (706) can reduce 318 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (482) ~ (all_0_15_15 = e1)
% 266.35/207.67 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (468) can reduce 482 to:
% 266.35/207.67 | (318) ~ (e3 = e1)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (8), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (464) all_0_15_15 = e4
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (468,464) yields a new equation:
% 266.35/207.67 | (691) e4 = e3
% 266.35/207.67 |
% 266.35/207.67 | Equations (691) can reduce 277 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (460) ~ (all_0_15_15 = e4)
% 266.35/207.67 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.35/207.67 |
% 266.35/207.67 | Equations (468) can reduce 460 to:
% 266.35/207.67 | (695) ~ (e4 = e3)
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 695 yields:
% 266.35/207.67 | (277) ~ (e4 = e3)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (29), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (476) all_0_15_15 = e1
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (468,476) yields a new equation:
% 266.35/207.67 | (933) e3 = e1
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 933 yields:
% 266.35/207.67 | (706) e3 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (706) can reduce 318 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (482) ~ (all_0_15_15 = e1)
% 266.35/207.67 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (16), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (1196) all_0_35_35 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (1196) can reduce 570 to:
% 266.35/207.67 | (429) ~ (e3 = e1)
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 429 yields:
% 266.35/207.67 | (318) ~ (e3 = e1)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (1437), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (1446) all_0_31_31 = e4
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (1446,1010) yields a new equation:
% 266.35/207.67 | (955) e4 = e1
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 955 yields:
% 266.35/207.67 | (480) e4 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (480) can reduce 65 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (584) ~ (all_0_31_31 = e4)
% 266.35/207.67 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.35/207.67 |
% 266.35/207.67 | Equations (1010) can reduce 584 to:
% 266.35/207.67 | (477) ~ (e4 = e1)
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 477 yields:
% 266.35/207.67 | (65) ~ (e4 = e1)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (1051), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (1515) all_0_23_23 = e4
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (3952,1515) yields a new equation:
% 266.35/207.67 | (480) e4 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (480) can reduce 65 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (578) ~ (all_0_23_23 = e4)
% 266.35/207.67 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (1518), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (892) all_0_28_28 = e4
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (1044,892) yields a new equation:
% 266.35/207.67 | (490) e4 = e0
% 266.35/207.67 |
% 266.35/207.67 | Equations (490) can reduce 287 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (890) ~ (all_0_28_28 = e4)
% 266.35/207.67 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (1522), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (406) all_0_33_33 = e4
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (406,414) yields a new equation:
% 266.35/207.67 | (1111) e4 = e2
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 1111 yields:
% 266.35/207.67 | (539) e4 = e2
% 266.35/207.67 |
% 266.35/207.67 | Equations (539) can reduce 19 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (405) ~ (all_0_33_33 = e4)
% 266.35/207.67 | (1165) all_0_38_38 = e4
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (164), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (814) all_0_35_35 = e3
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (814,1196) yields a new equation:
% 266.35/207.67 | (933) e3 = e1
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 933 yields:
% 266.35/207.67 | (706) e3 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (706) can reduce 318 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (570) ~ (all_0_35_35 = e3)
% 266.35/207.67 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 266.35/207.67 |
% 266.35/207.67 | Equations (1196) can reduce 570 to:
% 266.35/207.67 | (429) ~ (e3 = e1)
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 429 yields:
% 266.35/207.67 | (318) ~ (e3 = e1)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (1137), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (978) all_0_23_23 = e3
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (3952,978) yields a new equation:
% 266.35/207.67 | (706) e3 = e1
% 266.35/207.67 |
% 266.35/207.67 | Equations (706) can reduce 318 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (982) ~ (all_0_23_23 = e3)
% 266.35/207.67 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (3084), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (896) all_0_28_28 = e3
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (1044,896) yields a new equation:
% 266.35/207.67 | (980) e3 = e0
% 266.35/207.67 |
% 266.35/207.67 | Equations (980) can reduce 88 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (1035) ~ (all_0_28_28 = e3)
% 266.35/207.67 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (23), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (3159) all_0_25_25 = e2
% 266.35/207.67 |
% 266.35/207.67 | Equations (3159) can reduce 566 to:
% 266.35/207.67 | (658) ~ (e3 = e2)
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 658 yields:
% 266.35/207.67 | (56) ~ (e3 = e2)
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (3089), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (410) all_0_33_33 = e3
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (414,410) yields a new equation:
% 266.35/207.67 | (764) e3 = e2
% 266.35/207.67 |
% 266.35/207.67 | Equations (764) can reduce 56 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (403) ~ (all_0_33_33 = e3)
% 266.35/207.67 | (1077) all_0_38_38 = e3
% 266.35/207.67 |
% 266.35/207.67 | Combining equations (1165,1077) yields a new equation:
% 266.35/207.67 | (690) e4 = e3
% 266.35/207.67 |
% 266.35/207.67 | Simplifying 690 yields:
% 266.35/207.67 | (691) e4 = e3
% 266.35/207.67 |
% 266.35/207.67 | Equations (691) can reduce 277 to:
% 266.35/207.67 | (366) $false
% 266.35/207.67 |
% 266.35/207.67 |-The branch is then unsatisfiable
% 266.35/207.67 |-Branch two:
% 266.35/207.67 | (646) ~ (all_0_25_25 = e2)
% 266.35/207.67 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 266.35/207.67 |
% 266.35/207.67 +-Applying beta-rule and splitting (232), into two cases.
% 266.35/207.67 |-Branch one:
% 266.35/207.67 | (1970) all_0_17_17 = e3
% 266.35/207.68 |
% 266.35/207.68 | Combining equations (1970,1980) yields a new equation:
% 266.35/207.68 | (3874) e3 = e2
% 266.35/207.68 |
% 266.35/207.68 | Simplifying 3874 yields:
% 266.35/207.68 | (764) e3 = e2
% 266.35/207.68 |
% 266.35/207.68 | Equations (764) can reduce 56 to:
% 266.35/207.68 | (366) $false
% 266.35/207.68 |
% 266.35/207.68 |-The branch is then unsatisfiable
% 266.35/207.68 |-Branch two:
% 266.35/207.68 | (558) ~ (all_0_17_17 = e3)
% 266.35/207.68 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 266.35/207.68 |
% 266.35/207.68 | Equations (1980) can reduce 558 to:
% 266.35/207.68 | (658) ~ (e3 = e2)
% 266.35/207.68 |
% 266.35/207.68 | Simplifying 658 yields:
% 266.35/207.68 | (56) ~ (e3 = e2)
% 266.35/207.68 |
% 266.35/207.68 +-Applying beta-rule and splitting (13669), into two cases.
% 266.35/207.68 |-Branch one:
% 266.35/207.68 | (2380) all_0_26_26 = e2
% 266.35/207.68 |
% 266.35/207.68 | Combining equations (2443,2380) yields a new equation:
% 266.35/207.68 | (3874) e3 = e2
% 266.35/207.68 |
% 266.35/207.68 | Simplifying 3874 yields:
% 266.35/207.68 | (764) e3 = e2
% 266.35/207.68 |
% 266.35/207.68 | Equations (764) can reduce 56 to:
% 266.35/207.68 | (366) $false
% 266.35/207.68 |
% 266.35/207.68 |-The branch is then unsatisfiable
% 266.35/207.68 |-Branch two:
% 266.35/207.68 | (647) ~ (all_0_26_26 = e2)
% 266.35/207.68 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 266.35/207.68 |
% 266.35/207.68 | Equations (2443) can reduce 647 to:
% 266.35/207.68 | (56) ~ (e3 = e2)
% 266.35/207.68 |
% 266.35/207.68 +-Applying beta-rule and splitting (3089), into two cases.
% 266.35/207.68 |-Branch one:
% 266.35/207.68 | (410) all_0_33_33 = e3
% 266.35/207.68 |
% 266.35/207.68 | Combining equations (414,410) yields a new equation:
% 266.35/207.68 | (764) e3 = e2
% 266.35/207.68 |
% 266.35/207.68 | Equations (764) can reduce 56 to:
% 266.35/207.68 | (366) $false
% 266.35/207.68 |
% 266.35/207.68 |-The branch is then unsatisfiable
% 266.35/207.68 |-Branch two:
% 266.35/207.68 | (403) ~ (all_0_33_33 = e3)
% 266.35/207.68 | (1077) all_0_38_38 = e3
% 266.35/207.68 |
% 266.35/207.68 | Combining equations (1165,1077) yields a new equation:
% 266.35/207.68 | (690) e4 = e3
% 266.35/207.68 |
% 266.35/207.68 | Simplifying 690 yields:
% 266.35/207.68 | (691) e4 = e3
% 266.35/207.68 |
% 266.35/207.68 | Equations (691) can reduce 277 to:
% 266.35/207.68 | (366) $false
% 266.35/207.68 |
% 266.35/207.68 |-The branch is then unsatisfiable
% 266.35/207.68 |-Branch two:
% 266.35/207.68 | (1177) ~ (all_0_35_35 = e1)
% 266.35/207.68 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 266.35/207.68 |
% 266.35/207.68 +-Applying beta-rule and splitting (709), into two cases.
% 266.35/207.68 |-Branch one:
% 266.35/207.68 | (921) all_0_16_16 = e1
% 266.35/207.68 |
% 266.35/207.68 | Combining equations (873,921) yields a new equation:
% 266.35/207.68 | (961) e1 = e0
% 266.35/207.68 |
% 266.35/207.68 | Equations (961) can reduce 37 to:
% 266.35/207.68 | (366) $false
% 266.35/207.68 |
% 266.35/207.68 |-The branch is then unsatisfiable
% 266.35/207.68 |-Branch two:
% 266.35/207.68 | (985) ~ (all_0_16_16 = e1)
% 266.35/207.68 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.35/207.68 |
% 266.35/207.68 | Equations (873) can reduce 985 to:
% 266.35/207.68 | (395) ~ (e1 = e0)
% 266.35/207.68 |
% 266.35/207.68 | Simplifying 395 yields:
% 266.35/207.68 | (37) ~ (e1 = e0)
% 266.35/207.68 |
% 266.35/207.68 +-Applying beta-rule and splitting (937), into two cases.
% 266.35/207.68 |-Branch one:
% 266.35/207.68 | (1175) all_0_20_20 = e1
% 266.41/207.68 |
% 266.41/207.68 | Equations (1175) can reduce 1409 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (1409) ~ (all_0_20_20 = e1)
% 266.41/207.68 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 266.41/207.68 |
% 266.41/207.68 +-Applying beta-rule and splitting (1656), into two cases.
% 266.41/207.68 |-Branch one:
% 266.41/207.68 | (950) all_0_25_25 = e1
% 266.41/207.68 |
% 266.41/207.68 | Equations (950) can reduce 946 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (946) ~ (all_0_25_25 = e1)
% 266.41/207.68 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 266.41/207.68 |
% 266.41/207.68 +-Applying beta-rule and splitting (1676), into two cases.
% 266.41/207.68 |-Branch one:
% 266.41/207.68 | (787) all_0_30_30 = e1
% 266.41/207.68 |
% 266.41/207.68 | Combining equations (790,787) yields a new equation:
% 266.41/207.68 | (961) e1 = e0
% 266.41/207.68 |
% 266.41/207.68 | Equations (961) can reduce 37 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (422) ~ (all_0_30_30 = e1)
% 266.41/207.68 | (1196) all_0_35_35 = e1
% 266.41/207.68 |
% 266.41/207.68 | Equations (1196) can reduce 1177 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (420) ~ (all_0_23_23 = e1)
% 266.41/207.68 | (851) all_0_23_23 = e0
% 266.41/207.68 |
% 266.41/207.68 | Equations (851) can reduce 1068 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (714) ~ (all_0_19_19 = e4)
% 266.41/207.68 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 266.41/207.68 |
% 266.41/207.68 +-Applying beta-rule and splitting (4311), into two cases.
% 266.41/207.68 |-Branch one:
% 266.41/207.68 | (927) all_0_19_19 = e3
% 266.41/207.68 |
% 266.41/207.68 | Equations (927) can reduce 562 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (562) ~ (all_0_19_19 = e3)
% 266.41/207.68 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 266.41/207.68 |
% 266.41/207.68 +-Applying beta-rule and splitting (4315), into two cases.
% 266.41/207.68 |-Branch one:
% 266.41/207.68 | (663) all_0_19_19 = e2
% 266.41/207.68 |
% 266.41/207.68 | Equations (663) can reduce 2785 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (2785) ~ (all_0_19_19 = e2)
% 266.41/207.68 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 266.41/207.68 |
% 266.41/207.68 +-Applying beta-rule and splitting (4319), into two cases.
% 266.41/207.68 |-Branch one:
% 266.41/207.68 | (716) all_0_19_19 = e1
% 266.41/207.68 |
% 266.41/207.68 | Equations (716) can reduce 720 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (720) ~ (all_0_19_19 = e1)
% 266.41/207.68 | (2703) all_0_19_19 = e0
% 266.41/207.68 |
% 266.41/207.68 | Equations (2703) can reduce 381 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (423) ~ (all_0_31_31 = e1)
% 266.41/207.68 | (1015) all_0_36_36 = e1
% 266.41/207.68 |
% 266.41/207.68 | Combining equations (1015,801) yields a new equation:
% 266.41/207.68 | (718) e2 = e1
% 266.41/207.68 |
% 266.41/207.68 | Equations (718) can reduce 329 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (459) ~ (all_0_17_17 = e2)
% 266.41/207.68 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 266.41/207.68 |
% 266.41/207.68 +-Applying beta-rule and splitting (15439), into two cases.
% 266.41/207.68 |-Branch one:
% 266.41/207.68 | (917) all_0_22_22 = e2
% 266.41/207.68 |
% 266.41/207.68 | Combining equations (847,917) yields a new equation:
% 266.41/207.68 | (551) e2 = e0
% 266.41/207.68 |
% 266.41/207.68 | Equations (551) can reduce 347 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (493) ~ (all_0_22_22 = e2)
% 266.41/207.68 | (16070) all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 266.41/207.68 |
% 266.41/207.68 +-Applying beta-rule and splitting (16070), into two cases.
% 266.41/207.68 |-Branch one:
% 266.41/207.68 | (443) all_0_27_27 = e2
% 266.41/207.68 |
% 266.41/207.68 | Combining equations (543,443) yields a new equation:
% 266.41/207.68 | (718) e2 = e1
% 266.41/207.68 |
% 266.41/207.68 | Equations (718) can reduce 329 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (500) ~ (all_0_27_27 = e2)
% 266.41/207.68 | (16095) all_0_32_32 = e2 | all_0_37_37 = e2
% 266.41/207.68 |
% 266.41/207.68 +-Applying beta-rule and splitting (16095), into two cases.
% 266.41/207.68 |-Branch one:
% 266.41/207.68 | (1101) all_0_32_32 = e2
% 266.41/207.68 |
% 266.41/207.68 | Equations (1101) can reduce 508 to:
% 266.41/207.68 | (366) $false
% 266.41/207.68 |
% 266.41/207.68 |-The branch is then unsatisfiable
% 266.41/207.68 |-Branch two:
% 266.41/207.68 | (508) ~ (all_0_32_32 = e2)
% 266.41/207.68 | (805) all_0_37_37 = e2
% 266.41/207.68 |
% 266.41/207.68 | Equations (805) can reduce 515 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (504) ~ (all_0_26_26 = e3)
% 266.41/207.69 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.41/207.69 |
% 266.41/207.69 +-Applying beta-rule and splitting (2448), into two cases.
% 266.41/207.69 |-Branch one:
% 266.41/207.69 | (439) all_0_27_27 = e3
% 266.41/207.69 |
% 266.41/207.69 | Combining equations (543,439) yields a new equation:
% 266.41/207.69 | (706) e3 = e1
% 266.41/207.69 |
% 266.41/207.69 | Equations (706) can reduce 318 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (400) ~ (all_0_27_27 = e3)
% 266.41/207.69 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 266.41/207.69 |
% 266.41/207.69 +-Applying beta-rule and splitting (2453), into two cases.
% 266.41/207.69 |-Branch one:
% 266.41/207.69 | (896) all_0_28_28 = e3
% 266.41/207.69 |
% 266.41/207.69 | Combining equations (1044,896) yields a new equation:
% 266.41/207.69 | (980) e3 = e0
% 266.41/207.69 |
% 266.41/207.69 | Equations (980) can reduce 88 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (1035) ~ (all_0_28_28 = e3)
% 266.41/207.69 | (1023) all_0_29_29 = e3
% 266.41/207.69 |
% 266.41/207.69 | Equations (1023) can reduce 898 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (19925) ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.41/207.69 |
% 266.41/207.69 | Applying alpha-rule on (19925) yields:
% 266.41/207.69 | (19926) ~ (all_0_7_7 = e0)
% 266.41/207.69 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.41/207.69 |
% 266.41/207.69 | From (1044)(1044) and (19927) follows:
% 266.41/207.69 | (19928) op(e0, e0) = all_0_7_7
% 266.41/207.69 |
% 266.41/207.69 | Instantiating formula (97) with e0, e0, all_0_7_7, e0 and discharging atoms op(e0, e0) = all_0_7_7, op(e0, e0) = e0, yields:
% 266.41/207.69 | (19929) all_0_7_7 = e0
% 266.41/207.69 |
% 266.41/207.69 | Equations (19929) can reduce 19926 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (886) ~ (all_0_28_28 = e0)
% 266.41/207.69 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 266.41/207.69 |
% 266.41/207.69 +-Applying beta-rule and splitting (2533), into two cases.
% 266.41/207.69 |-Branch one:
% 266.41/207.69 | (1044) all_0_28_28 = e0
% 266.41/207.69 |
% 266.41/207.69 | Equations (1044) can reduce 886 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (886) ~ (all_0_28_28 = e0)
% 266.41/207.69 | (2537) all_0_29_29 = e0
% 266.41/207.69 |
% 266.41/207.69 | Equations (2537) can reduce 383 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (826) ~ (all_0_22_22 = e0)
% 266.41/207.69 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.41/207.69 |
% 266.41/207.69 +-Applying beta-rule and splitting (3101), into two cases.
% 266.41/207.69 |-Branch one:
% 266.41/207.69 | (546) all_0_27_27 = e0
% 266.41/207.69 |
% 266.41/207.69 | Combining equations (543,546) yields a new equation:
% 266.41/207.69 | (960) e1 = e0
% 266.41/207.69 |
% 266.41/207.69 | Simplifying 960 yields:
% 266.41/207.69 | (961) e1 = e0
% 266.41/207.69 |
% 266.41/207.69 | Equations (961) can reduce 37 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (434) ~ (all_0_27_27 = e0)
% 266.41/207.69 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 266.41/207.69 |
% 266.41/207.69 +-Applying beta-rule and splitting (3107), into two cases.
% 266.41/207.69 |-Branch one:
% 266.41/207.69 | (1626) all_0_32_32 = e0
% 266.41/207.69 |
% 266.41/207.69 | Equations (1626) can reduce 1946 to:
% 266.41/207.69 | (366) $false
% 266.41/207.69 |
% 266.41/207.69 |-The branch is then unsatisfiable
% 266.41/207.69 |-Branch two:
% 266.41/207.69 | (1946) ~ (all_0_32_32 = e0)
% 266.41/207.69 | (3111) all_0_37_37 = e0
% 266.41/207.69 |
% 266.41/207.70 | Equations (3111) can reduce 387 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (1878) ~ (all_0_30_30 = e0)
% 266.41/207.70 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (1879), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (1060) all_0_31_31 = e0
% 266.41/207.70 |
% 266.41/207.70 | Equations (1060) can reduce 1064 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (1064) ~ (all_0_31_31 = e0)
% 266.41/207.70 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (1883), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (1626) all_0_32_32 = e0
% 266.41/207.70 |
% 266.41/207.70 | Equations (1626) can reduce 286 to:
% 266.41/207.70 | (2422) ~ (all_0_17_17 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Equations (1626) can reduce 63 to:
% 266.41/207.70 | (826) ~ (all_0_22_22 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Equations (1626) can reduce 336 to:
% 266.41/207.70 | (3380) ~ (all_0_37_37 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 3380 yields:
% 266.41/207.70 | (387) ~ (all_0_37_37 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Equations (1626) can reduce 508 to:
% 266.41/207.70 | (393) ~ (e2 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 393 yields:
% 266.41/207.70 | (347) ~ (e2 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Equations (1626) can reduce 424 to:
% 266.41/207.70 | (395) ~ (e1 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 395 yields:
% 266.41/207.70 | (37) ~ (e1 = e0)
% 266.41/207.70 |
% 266.41/207.70 | From (1626) and (315) follows:
% 266.41/207.70 | (18555) op(all_0_28_28, e0) = e1
% 266.41/207.70 |
% 266.41/207.70 | From (1626) and (200) follows:
% 266.41/207.70 | (19967) op(e0, all_0_28_28) = e2
% 266.41/207.70 |
% 266.41/207.70 | Instantiating formula (97) with e0, e0, e1, e0 and discharging atoms op(e0, e0) = e0, yields:
% 266.41/207.70 | (18574) e1 = e0 | ~ (op(e0, e0) = e1)
% 266.41/207.70 |
% 266.41/207.70 | Instantiating formula (97) with e0, e4, e2, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 266.41/207.70 | (8732) all_0_35_35 = e2 | ~ (op(e0, e4) = e2)
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (59), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (865) all_0_17_17 = e4
% 266.41/207.70 |
% 266.41/207.70 | Equations (865) can reduce 74 to:
% 266.41/207.70 | (1493) ~ (all_0_18_18 = e4)
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 1493 yields:
% 266.41/207.70 | (1046) ~ (all_0_18_18 = e4)
% 266.41/207.70 |
% 266.41/207.70 | Equations (865) can reduce 2422 to:
% 266.41/207.70 | (287) ~ (e4 = e0)
% 266.41/207.70 |
% 266.41/207.70 | From (865) and (49) follows:
% 266.41/207.70 | (5082) op(all_0_25_25, e4) = e4
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (26), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (887) all_0_18_18 = e4
% 266.41/207.70 |
% 266.41/207.70 | Equations (887) can reduce 1046 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (1046) ~ (all_0_18_18 = e4)
% 266.41/207.70 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (114), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (472) all_0_15_15 = e2
% 266.41/207.70 |
% 266.41/207.70 | Combining equations (468,472) yields a new equation:
% 266.41/207.70 | (3874) e3 = e2
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 3874 yields:
% 266.41/207.70 | (764) e3 = e2
% 266.41/207.70 |
% 266.41/207.70 | Equations (764) can reduce 56 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (447) ~ (all_0_15_15 = e2)
% 266.41/207.70 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (1047), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (1134) all_0_18_18 = e3
% 266.41/207.70 |
% 266.41/207.70 | Equations (1134) can reduce 560 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (560) ~ (all_0_18_18 = e3)
% 266.41/207.70 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (1270), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (1274) all_0_18_18 = e2
% 266.41/207.70 |
% 266.41/207.70 | Equations (1274) can reduce 666 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (666) ~ (all_0_18_18 = e2)
% 266.41/207.70 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (2791), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (697) all_0_16_16 = e2
% 266.41/207.70 |
% 266.41/207.70 | Combining equations (697,873) yields a new equation:
% 266.41/207.70 | (836) e2 = e0
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 836 yields:
% 266.41/207.70 | (551) e2 = e0
% 266.41/207.70 |
% 266.41/207.70 | Equations (551) can reduce 347 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (664) ~ (all_0_16_16 = e2)
% 266.41/207.70 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (2933), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (1980) all_0_17_17 = e2
% 266.41/207.70 |
% 266.41/207.70 | Combining equations (865,1980) yields a new equation:
% 266.41/207.70 | (1111) e4 = e2
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 1111 yields:
% 266.41/207.70 | (539) e4 = e2
% 266.41/207.70 |
% 266.41/207.70 | Equations (539) can reduce 19 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (459) ~ (all_0_17_17 = e2)
% 266.41/207.70 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (1277), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (1278) all_0_18_18 = e1
% 266.41/207.70 |
% 266.41/207.70 | Equations (1278) can reduce 110 to:
% 266.41/207.70 | (3684) ~ (all_0_23_23 = e1)
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 3684 yields:
% 266.41/207.70 | (420) ~ (all_0_23_23 = e1)
% 266.41/207.70 |
% 266.41/207.70 | Equations (1278) can reduce 666 to:
% 266.41/207.70 | (1002) ~ (e2 = e1)
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 1002 yields:
% 266.41/207.70 | (329) ~ (e2 = e1)
% 266.41/207.70 |
% 266.41/207.70 | From (1278) and (238) follows:
% 266.41/207.70 | (18133) op(e1, all_0_30_30) = e1
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (2937), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (1274) all_0_18_18 = e2
% 266.41/207.70 |
% 266.41/207.70 | Combining equations (1278,1274) yields a new equation:
% 266.41/207.70 | (718) e2 = e1
% 266.41/207.70 |
% 266.41/207.70 | Equations (718) can reduce 329 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (666) ~ (all_0_18_18 = e2)
% 266.41/207.70 | (663) all_0_19_19 = e2
% 266.41/207.70 |
% 266.41/207.70 | From (663) and (67) follows:
% 266.41/207.70 | (678) op(e4, e0) = e2
% 266.41/207.70 |
% 266.41/207.70 +-Applying beta-rule and splitting (621), into two cases.
% 266.41/207.70 |-Branch one:
% 266.41/207.70 | (18153) all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Applying alpha-rule on (18153) yields:
% 266.41/207.70 | (680) all_0_11_11 = all_0_16_16
% 266.41/207.70 | (824) ~ (all_0_16_16 = e0)
% 266.41/207.70 |
% 266.41/207.70 | Combining equations (680,6780) yields a new equation:
% 266.41/207.70 | (18156) all_0_16_16 = e0
% 266.41/207.70 |
% 266.41/207.70 | Simplifying 18156 yields:
% 266.41/207.70 | (873) all_0_16_16 = e0
% 266.41/207.70 |
% 266.41/207.70 | Equations (873) can reduce 824 to:
% 266.41/207.70 | (366) $false
% 266.41/207.70 |
% 266.41/207.70 |-The branch is then unsatisfiable
% 266.41/207.70 |-Branch two:
% 266.41/207.70 | (18159) all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10))
% 266.41/207.70 |
% 266.41/207.70 | Applying alpha-rule on (18159) yields:
% 266.41/207.70 | (680) all_0_11_11 = all_0_16_16
% 266.41/207.71 | (18161) ( ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10)
% 266.41/207.71 |
% 266.41/207.71 | Combining equations (680,6780) yields a new equation:
% 266.41/207.71 | (18156) all_0_16_16 = e0
% 266.41/207.71 |
% 266.41/207.71 | Simplifying 18156 yields:
% 266.41/207.71 | (873) all_0_16_16 = e0
% 266.41/207.71 |
% 266.41/207.71 +-Applying beta-rule and splitting (18161), into two cases.
% 266.41/207.71 |-Branch one:
% 266.41/207.71 | (18164) ~ (all_0_9_9 = e2) & op(e4, all_0_16_16) = all_0_9_9
% 266.41/207.71 |
% 266.41/207.71 | Applying alpha-rule on (18164) yields:
% 266.41/207.71 | (18165) ~ (all_0_9_9 = e2)
% 266.41/207.71 | (2182) op(e4, all_0_16_16) = all_0_9_9
% 266.41/207.71 |
% 266.41/207.71 | From (873) and (2182) follows:
% 266.41/207.71 | (13601) op(e4, e0) = all_0_9_9
% 266.41/207.71 |
% 266.41/207.71 | Instantiating formula (97) with e4, e0, all_0_9_9, e2 and discharging atoms op(e4, e0) = all_0_9_9, op(e4, e0) = e2, yields:
% 266.41/207.71 | (18168) all_0_9_9 = e2
% 266.41/207.71 |
% 266.41/207.71 | Equations (18168) can reduce 18165 to:
% 266.41/207.71 | (366) $false
% 266.41/207.71 |
% 266.41/207.71 |-The branch is then unsatisfiable
% 266.41/207.71 |-Branch two:
% 266.41/207.71 | (2186) ~ (all_0_10_10 = e1) & op(all_0_16_16, all_0_16_16) = all_0_10_10
% 266.41/207.71 |
% 266.41/207.71 | Applying alpha-rule on (2186) yields:
% 266.41/207.71 | (2187) ~ (all_0_10_10 = e1)
% 266.41/207.71 | (2188) op(all_0_16_16, all_0_16_16) = all_0_10_10
% 266.41/207.71 |
% 266.41/207.71 | From (873)(873) and (2188) follows:
% 266.41/207.71 | (13623) op(e0, e0) = all_0_10_10
% 266.41/207.71 |
% 266.41/207.71 +-Applying beta-rule and splitting (13612), into two cases.
% 266.41/207.71 |-Branch one:
% 266.41/207.71 | (6403) ~ (op(e0, e0) = e4)
% 266.41/207.71 |
% 266.41/207.71 | Instantiating formula (97) with e0, e4, e4, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 266.41/207.71 | (19107) all_0_35_35 = e4 | ~ (op(e0, e4) = e4)
% 266.41/207.71 |
% 266.41/207.71 | Instantiating formula (97) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, yields:
% 266.41/207.71 | (20040) e2 = e1 | ~ (op(e1, e1) = e1)
% 266.41/207.71 |
% 266.41/207.71 | Instantiating formula (97) with e0, e0, all_0_10_10, e0 and discharging atoms op(e0, e0) = all_0_10_10, op(e0, e0) = e0, yields:
% 266.41/207.71 | (13626) all_0_10_10 = e0
% 266.41/207.71 |
% 266.41/207.71 | Using (5587) and (6403) yields:
% 266.41/207.71 | (839) ~ (all_0_20_20 = e0)
% 266.41/207.71 |
% 266.41/207.71 | Using (13623) and (6403) yields:
% 266.41/207.71 | (13627) ~ (all_0_10_10 = e4)
% 266.41/207.71 |
% 266.41/207.71 | Equations (13626) can reduce 13627 to:
% 266.41/207.71 | (389) ~ (e4 = e0)
% 266.41/207.71 |
% 266.41/207.71 | Simplifying 389 yields:
% 266.41/207.71 | (287) ~ (e4 = e0)
% 266.41/207.71 |
% 266.41/207.71 | Equations (13626) can reduce 2187 to:
% 266.41/207.71 | (395) ~ (e1 = e0)
% 266.41/207.71 |
% 266.41/207.71 | Simplifying 395 yields:
% 266.41/207.71 | (37) ~ (e1 = e0)
% 266.41/207.71 |
% 266.41/207.71 +-Applying beta-rule and splitting (241), into two cases.
% 266.41/207.71 |-Branch one:
% 266.41/207.71 | (1921) all_0_25_25 = e0
% 266.41/207.71 |
% 266.41/207.71 | Equations (1921) can reduce 58 to:
% 266.41/207.71 | (5613) ~ (all_0_30_30 = e0)
% 266.41/207.71 |
% 266.41/207.71 | Simplifying 5613 yields:
% 266.41/207.71 | (1878) ~ (all_0_30_30 = e0)
% 266.41/207.71 |
% 266.41/207.71 | From (1921) and (5082) follows:
% 266.41/207.72 | (19463) op(e0, e4) = e4
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (19107), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (19478) ~ (op(e0, e4) = e4)
% 266.41/207.72 |
% 266.41/207.72 | Using (19463) and (19478) yields:
% 266.41/207.72 | (821) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (19463) op(e0, e4) = e4
% 266.41/207.72 | (1161) all_0_35_35 = e4
% 266.41/207.72 |
% 266.41/207.72 | Equations (1161) can reduce 96 to:
% 266.41/207.72 | (509) ~ (all_0_30_30 = e4)
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (239), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (768) all_0_30_30 = e4
% 266.41/207.72 |
% 266.41/207.72 | Equations (768) can reduce 509 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (509) ~ (all_0_30_30 = e4)
% 266.41/207.72 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (155), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (759) all_0_30_30 = e3
% 266.41/207.72 |
% 266.41/207.72 | Equations (759) can reduce 568 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (568) ~ (all_0_30_30 = e3)
% 266.41/207.72 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (771), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (759) all_0_30_30 = e3
% 266.41/207.72 |
% 266.41/207.72 | Equations (759) can reduce 568 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (568) ~ (all_0_30_30 = e3)
% 266.41/207.72 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (782), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (747) all_0_30_30 = e2
% 266.41/207.72 |
% 266.41/207.72 | Equations (747) can reduce 740 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (740) ~ (all_0_30_30 = e2)
% 266.41/207.72 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (786), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (787) all_0_30_30 = e1
% 266.41/207.72 |
% 266.41/207.72 | Equations (787) can reduce 740 to:
% 266.41/207.72 | (1002) ~ (e2 = e1)
% 266.41/207.72 |
% 266.41/207.72 | Simplifying 1002 yields:
% 266.41/207.72 | (329) ~ (e2 = e1)
% 266.41/207.72 |
% 266.41/207.72 | From (787) and (18133) follows:
% 266.41/207.72 | (432) op(e1, e1) = e1
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (20040), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (20077) ~ (op(e1, e1) = e1)
% 266.41/207.72 |
% 266.41/207.72 | Using (432) and (20077) yields:
% 266.41/207.72 | (821) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (432) op(e1, e1) = e1
% 266.41/207.72 | (718) e2 = e1
% 266.41/207.72 |
% 266.41/207.72 | Equations (718) can reduce 329 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (422) ~ (all_0_30_30 = e1)
% 266.41/207.72 | (790) all_0_30_30 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (790) can reduce 1878 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (1925) ~ (all_0_25_25 = e0)
% 266.41/207.72 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (1926), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (883) all_0_26_26 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (883) can reduce 1058 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (1058) ~ (all_0_26_26 = e0)
% 266.41/207.72 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (135), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (835) all_0_20_20 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (835) can reduce 839 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (839) ~ (all_0_20_20 = e0)
% 266.41/207.72 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (185), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (1153) all_0_18_18 = e0
% 266.41/207.72 |
% 266.41/207.72 | Combining equations (1278,1153) yields a new equation:
% 266.41/207.72 | (960) e1 = e0
% 266.41/207.72 |
% 266.41/207.72 | Simplifying 960 yields:
% 266.41/207.72 | (961) e1 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (961) can reduce 37 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (1156) ~ (all_0_18_18 = e0)
% 266.41/207.72 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (840), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (529) all_0_21_21 = e0
% 266.41/207.72 |
% 266.41/207.72 | Combining equations (449,529) yields a new equation:
% 266.41/207.72 | (842) e4 = e0
% 266.41/207.72 |
% 266.41/207.72 | Simplifying 842 yields:
% 266.41/207.72 | (490) e4 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (490) can reduce 287 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (398) ~ (all_0_21_21 = e0)
% 266.41/207.72 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (1157), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (851) all_0_23_23 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (851) can reduce 86 to:
% 266.41/207.72 | (885) ~ (all_0_28_28 = e0)
% 266.41/207.72 |
% 266.41/207.72 | Simplifying 885 yields:
% 266.41/207.72 | (886) ~ (all_0_28_28 = e0)
% 266.41/207.72 |
% 266.41/207.72 | Equations (851) can reduce 420 to:
% 266.41/207.72 | (395) ~ (e1 = e0)
% 266.41/207.72 |
% 266.41/207.72 | Simplifying 395 yields:
% 266.41/207.72 | (37) ~ (e1 = e0)
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (2527), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (546) all_0_27_27 = e0
% 266.41/207.72 |
% 266.41/207.72 | Combining equations (543,546) yields a new equation:
% 266.41/207.72 | (960) e1 = e0
% 266.41/207.72 |
% 266.41/207.72 | Simplifying 960 yields:
% 266.41/207.72 | (961) e1 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (961) can reduce 37 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (434) ~ (all_0_27_27 = e0)
% 266.41/207.72 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (2533), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (1044) all_0_28_28 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (1044) can reduce 886 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (886) ~ (all_0_28_28 = e0)
% 266.41/207.72 | (2537) all_0_29_29 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (2537) can reduce 383 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (1068) ~ (all_0_23_23 = e0)
% 266.41/207.72 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (846), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (847) all_0_22_22 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (847) can reduce 826 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (826) ~ (all_0_22_22 = e0)
% 266.41/207.72 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 266.41/207.72 |
% 266.41/207.72 +-Applying beta-rule and splitting (850), into two cases.
% 266.41/207.72 |-Branch one:
% 266.41/207.72 | (851) all_0_23_23 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (851) can reduce 1068 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (1068) ~ (all_0_23_23 = e0)
% 266.41/207.72 | (1069) all_0_24_24 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (1069) can reduce 382 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (489) op(e0, e0) = e4
% 266.41/207.72 | (490) e4 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (490) can reduce 287 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.72 |-Branch two:
% 266.41/207.72 | (419) ~ (all_0_18_18 = e1)
% 266.41/207.72 | (1153) all_0_18_18 = e0
% 266.41/207.72 |
% 266.41/207.72 | Equations (1153) can reduce 1156 to:
% 266.41/207.72 | (366) $false
% 266.41/207.72 |
% 266.41/207.72 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (869) ~ (all_0_17_17 = e4)
% 266.41/207.73 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (1148), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (831) all_0_22_22 = e4
% 266.41/207.73 |
% 266.41/207.73 | Equations (831) can reduce 576 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (576) ~ (all_0_22_22 = e4)
% 266.41/207.73 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (240), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (865) all_0_17_17 = e4
% 266.41/207.73 |
% 266.41/207.73 | Equations (865) can reduce 869 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (869) ~ (all_0_17_17 = e4)
% 266.41/207.73 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (1152), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (435) all_0_27_27 = e4
% 266.41/207.73 |
% 266.41/207.73 | Combining equations (543,435) yields a new equation:
% 266.41/207.73 | (480) e4 = e1
% 266.41/207.73 |
% 266.41/207.73 | Equations (480) can reduce 65 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (404) ~ (all_0_27_27 = e4)
% 266.41/207.73 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (1961), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (1970) all_0_17_17 = e3
% 266.41/207.73 |
% 266.41/207.73 | Equations (1970) can reduce 558 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (558) ~ (all_0_17_17 = e3)
% 266.41/207.73 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (1979), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (1980) all_0_17_17 = e2
% 266.41/207.73 |
% 266.41/207.73 | Equations (1980) can reduce 333 to:
% 266.41/207.73 | (7443) ~ (all_0_19_19 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 7443 yields:
% 266.41/207.73 | (2785) ~ (all_0_19_19 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1980) can reduce 184 to:
% 266.41/207.73 | (737) ~ (all_0_22_22 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 737 yields:
% 266.41/207.73 | (493) ~ (all_0_22_22 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1980) can reduce 132 to:
% 266.41/207.73 | (654) ~ (all_0_37_37 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 654 yields:
% 266.41/207.73 | (515) ~ (all_0_37_37 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1980) can reduce 558 to:
% 266.41/207.73 | (658) ~ (e3 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 658 yields:
% 266.41/207.73 | (56) ~ (e3 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1980) can reduce 2422 to:
% 266.41/207.73 | (347) ~ (e2 = e0)
% 266.41/207.73 |
% 266.41/207.73 | From (1980) and (57) follows:
% 266.41/207.73 | (20169) op(e2, all_0_25_25) = e2
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (1222), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (1229) all_0_32_32 = e4
% 266.41/207.73 |
% 266.41/207.73 | Combining equations (1229,1626) yields a new equation:
% 266.41/207.73 | (842) e4 = e0
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 842 yields:
% 266.41/207.73 | (490) e4 = e0
% 266.41/207.73 |
% 266.41/207.73 | Equations (490) can reduce 287 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (727) ~ (all_0_32_32 = e4)
% 266.41/207.73 | (1232) all_0_37_37 = e4
% 266.41/207.73 |
% 266.41/207.73 | Equations (1232) can reduce 202 to:
% 266.41/207.73 | (576) ~ (all_0_22_22 = e4)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1232) can reduce 354 to:
% 266.41/207.73 | (1142) ~ (all_0_38_38 = e4)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 1142 yields:
% 266.41/207.73 | (1143) ~ (all_0_38_38 = e4)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1232) can reduce 515 to:
% 266.41/207.73 | (19) ~ (e4 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1232) can reduce 387 to:
% 266.41/207.73 | (287) ~ (e4 = e0)
% 266.41/207.73 |
% 266.41/207.73 | From (1232) and (310) follows:
% 266.41/207.73 | (1837) op(e4, all_0_29_29) = e2
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (232), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (1970) all_0_17_17 = e3
% 266.41/207.73 |
% 266.41/207.73 | Combining equations (1970,1980) yields a new equation:
% 266.41/207.73 | (3874) e3 = e2
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 3874 yields:
% 266.41/207.73 | (764) e3 = e2
% 266.41/207.73 |
% 266.41/207.73 | Equations (764) can reduce 56 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (558) ~ (all_0_17_17 = e3)
% 266.41/207.73 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (1973), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (857) all_0_22_22 = e3
% 266.41/207.73 |
% 266.41/207.73 | Equations (857) can reduce 268 to:
% 266.41/207.73 | (3506) ~ (all_0_24_24 = e3)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 3506 yields:
% 266.41/207.73 | (963) ~ (all_0_24_24 = e3)
% 266.41/207.73 |
% 266.41/207.73 | Equations (857) can reduce 576 to:
% 266.41/207.73 | (695) ~ (e4 = e3)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 695 yields:
% 266.41/207.73 | (277) ~ (e4 = e3)
% 266.41/207.73 |
% 266.41/207.73 | Instantiating formula (97) with e4, e3, e2, e0 and discharging atoms op(e4, e3) = e0, yields:
% 266.41/207.73 | (6049) e2 = e0 | ~ (op(e4, e3) = e2)
% 266.41/207.73 |
% 266.41/207.73 | Instantiating formula (97) with e2, e0, e2, all_0_29_29 and discharging atoms op(e2, e0) = all_0_29_29, yields:
% 266.41/207.73 | (20194) all_0_29_29 = e2 | ~ (op(e2, e0) = e2)
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (36), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (887) all_0_18_18 = e4
% 266.41/207.73 |
% 266.41/207.73 | Equations (887) can reduce 337 to:
% 266.41/207.73 | (6514) ~ (all_0_19_19 = e4)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 6514 yields:
% 266.41/207.73 | (714) ~ (all_0_19_19 = e4)
% 266.41/207.73 |
% 266.41/207.73 | Equations (887) can reduce 1156 to:
% 266.41/207.73 | (287) ~ (e4 = e0)
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (225), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (711) all_0_19_19 = e4
% 266.41/207.73 |
% 266.41/207.73 | Equations (711) can reduce 714 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (714) ~ (all_0_19_19 = e4)
% 266.41/207.73 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (4311), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (927) all_0_19_19 = e3
% 266.41/207.73 |
% 266.41/207.73 | Equations (927) can reduce 562 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (562) ~ (all_0_19_19 = e3)
% 266.41/207.73 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (4315), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (663) all_0_19_19 = e2
% 266.41/207.73 |
% 266.41/207.73 | Equations (663) can reduce 2785 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (2785) ~ (all_0_19_19 = e2)
% 266.41/207.73 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (4319), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (716) all_0_19_19 = e1
% 266.41/207.73 |
% 266.41/207.73 | Equations (716) can reduce 87 to:
% 266.41/207.73 | (1964) ~ (all_0_24_24 = e1)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 1964 yields:
% 266.41/207.73 | (943) ~ (all_0_24_24 = e1)
% 266.41/207.73 |
% 266.41/207.73 | Equations (716) can reduce 229 to:
% 266.41/207.73 | (3164) ~ (all_0_29_29 = e1)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 3164 yields:
% 266.41/207.73 | (952) ~ (all_0_29_29 = e1)
% 266.41/207.73 |
% 266.41/207.73 | Equations (716) can reduce 714 to:
% 266.41/207.73 | (477) ~ (e4 = e1)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 477 yields:
% 266.41/207.73 | (65) ~ (e4 = e1)
% 266.41/207.73 |
% 266.41/207.73 | Equations (716) can reduce 562 to:
% 266.41/207.73 | (429) ~ (e3 = e1)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 429 yields:
% 266.41/207.73 | (318) ~ (e3 = e1)
% 266.41/207.73 |
% 266.41/207.73 | Equations (716) can reduce 381 to:
% 266.41/207.73 | (37) ~ (e1 = e0)
% 266.41/207.73 |
% 266.41/207.73 | From (716) and (67) follows:
% 266.41/207.73 | (4339) op(e4, e0) = e1
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (154), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (685) all_0_24_24 = e4
% 266.41/207.73 |
% 266.41/207.73 | Equations (685) can reduce 580 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (580) ~ (all_0_24_24 = e4)
% 266.41/207.73 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (688), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (939) all_0_24_24 = e3
% 266.41/207.73 |
% 266.41/207.73 | Equations (939) can reduce 963 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (963) ~ (all_0_24_24 = e3)
% 266.41/207.73 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (968), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (1393) all_0_24_24 = e2
% 266.41/207.73 |
% 266.41/207.73 | Equations (1393) can reduce 118 to:
% 266.41/207.73 | (810) ~ (all_0_23_23 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1393) can reduce 85 to:
% 266.41/207.73 | (650) ~ (all_0_29_29 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Simplifying 650 yields:
% 266.41/207.73 | (651) ~ (all_0_29_29 = e2)
% 266.41/207.73 |
% 266.41/207.73 | Equations (1393) can reduce 943 to:
% 266.41/207.73 | (329) ~ (e2 = e1)
% 266.41/207.73 |
% 266.41/207.73 +-Applying beta-rule and splitting (613), into two cases.
% 266.41/207.73 |-Branch one:
% 266.41/207.73 | (18153) all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0)
% 266.41/207.73 |
% 266.41/207.73 | Applying alpha-rule on (18153) yields:
% 266.41/207.73 | (680) all_0_11_11 = all_0_16_16
% 266.41/207.73 | (824) ~ (all_0_16_16 = e0)
% 266.41/207.73 |
% 266.41/207.73 | Combining equations (6780,680) yields a new equation:
% 266.41/207.73 | (873) all_0_16_16 = e0
% 266.41/207.73 |
% 266.41/207.73 | Equations (873) can reduce 824 to:
% 266.41/207.73 | (366) $false
% 266.41/207.73 |
% 266.41/207.73 |-The branch is then unsatisfiable
% 266.41/207.73 |-Branch two:
% 266.41/207.73 | (20240) all_0_11_11 = all_0_16_16 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10))
% 266.41/207.73 |
% 266.41/207.73 | Applying alpha-rule on (20240) yields:
% 266.41/207.73 | (680) all_0_11_11 = all_0_16_16
% 266.41/207.73 | (20242) ( ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10)
% 266.41/207.73 |
% 266.41/207.73 | Combining equations (6780,680) yields a new equation:
% 266.41/207.73 | (873) all_0_16_16 = e0
% 266.41/207.73 |
% 266.41/207.74 +-Applying beta-rule and splitting (20242), into two cases.
% 266.41/207.74 |-Branch one:
% 266.41/207.74 | (20244) ~ (all_0_9_9 = e1) & op(e4, all_0_16_16) = all_0_9_9
% 266.41/207.74 |
% 266.41/207.74 | Applying alpha-rule on (20244) yields:
% 266.41/207.74 | (13599) ~ (all_0_9_9 = e1)
% 266.41/207.74 | (2182) op(e4, all_0_16_16) = all_0_9_9
% 266.41/207.74 |
% 266.41/207.74 | From (873) and (2182) follows:
% 266.41/207.74 | (13601) op(e4, e0) = all_0_9_9
% 266.41/207.74 |
% 266.41/207.74 | Instantiating formula (97) with e4, e0, e1, all_0_9_9 and discharging atoms op(e4, e0) = all_0_9_9, op(e4, e0) = e1, yields:
% 266.41/207.74 | (13721) all_0_9_9 = e1
% 266.41/207.74 |
% 266.41/207.74 | Equations (13721) can reduce 13599 to:
% 266.41/207.74 | (366) $false
% 266.41/207.74 |
% 266.41/207.74 |-The branch is then unsatisfiable
% 266.41/207.74 |-Branch two:
% 266.41/207.74 | (20250) ~ (all_0_10_10 = e2) & op(all_0_16_16, all_0_16_16) = all_0_10_10
% 266.41/207.74 |
% 266.41/207.74 | Applying alpha-rule on (20250) yields:
% 266.41/207.74 | (14446) ~ (all_0_10_10 = e2)
% 266.41/207.74 | (2188) op(all_0_16_16, all_0_16_16) = all_0_10_10
% 266.41/207.74 |
% 266.41/207.74 | From (873)(873) and (2188) follows:
% 266.41/207.74 | (13623) op(e0, e0) = all_0_10_10
% 266.41/207.74 |
% 266.41/207.74 +-Applying beta-rule and splitting (18574), into two cases.
% 266.41/207.74 |-Branch one:
% 266.41/207.74 | (18617) ~ (op(e0, e0) = e1)
% 266.41/207.74 |
% 266.41/207.74 +-Applying beta-rule and splitting (13612), into two cases.
% 266.41/207.74 |-Branch one:
% 266.41/207.74 | (6403) ~ (op(e0, e0) = e4)
% 266.41/207.74 |
% 266.41/207.74 | Instantiating formula (97) with e0, e0, all_0_10_10, e0 and discharging atoms op(e0, e0) = all_0_10_10, op(e0, e0) = e0, yields:
% 266.41/207.74 | (13626) all_0_10_10 = e0
% 266.41/207.74 |
% 266.41/207.74 | Using (13623) and (6403) yields:
% 266.41/207.74 | (13627) ~ (all_0_10_10 = e4)
% 266.41/207.74 |
% 266.41/207.74 | Using (18555) and (18617) yields:
% 266.41/207.74 | (886) ~ (all_0_28_28 = e0)
% 266.41/207.74 |
% 266.41/207.74 | Using (13623) and (18617) yields:
% 266.41/207.74 | (2187) ~ (all_0_10_10 = e1)
% 266.41/207.74 |
% 266.41/207.74 | Equations (13626) can reduce 13627 to:
% 266.41/207.74 | (389) ~ (e4 = e0)
% 266.41/207.74 |
% 266.41/207.74 | Simplifying 389 yields:
% 266.41/207.74 | (287) ~ (e4 = e0)
% 266.41/207.74 |
% 266.41/207.74 | Equations (13626) can reduce 14446 to:
% 266.41/207.74 | (393) ~ (e2 = e0)
% 266.41/207.74 |
% 266.41/207.74 | Simplifying 393 yields:
% 266.41/207.74 | (347) ~ (e2 = e0)
% 266.41/207.74 |
% 266.41/207.74 | Equations (13626) can reduce 2187 to:
% 266.41/207.74 | (395) ~ (e1 = e0)
% 266.41/207.74 |
% 266.41/207.74 | Simplifying 395 yields:
% 266.41/207.74 | (37) ~ (e1 = e0)
% 266.41/207.74 |
% 266.41/207.74 +-Applying beta-rule and splitting (185), into two cases.
% 266.41/207.74 |-Branch one:
% 266.41/207.74 | (1153) all_0_18_18 = e0
% 266.41/207.74 |
% 266.41/207.74 | Combining equations (887,1153) yields a new equation:
% 266.41/207.74 | (842) e4 = e0
% 266.41/207.74 |
% 266.41/207.74 | Simplifying 842 yields:
% 266.41/207.74 | (490) e4 = e0
% 266.41/207.74 |
% 266.41/207.74 | Equations (490) can reduce 287 to:
% 266.41/207.74 | (366) $false
% 266.41/207.74 |
% 266.41/207.74 |-The branch is then unsatisfiable
% 266.41/207.74 |-Branch two:
% 266.41/207.74 | (1156) ~ (all_0_18_18 = e0)
% 266.41/207.74 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.41/207.74 |
% 266.41/207.74 +-Applying beta-rule and splitting (1157), into two cases.
% 266.41/207.74 |-Branch one:
% 266.41/207.74 | (851) all_0_23_23 = e0
% 266.41/207.74 |
% 266.41/207.74 | Equations (851) can reduce 810 to:
% 266.41/207.74 | (393) ~ (e2 = e0)
% 266.41/207.74 |
% 266.41/207.74 | Simplifying 393 yields:
% 266.41/207.74 | (347) ~ (e2 = e0)
% 266.41/207.74 |
% 266.41/207.74 +-Applying beta-rule and splitting (308), into two cases.
% 266.41/207.74 |-Branch one:
% 266.41/207.74 | (1175) all_0_20_20 = e1
% 266.41/207.74 |
% 266.41/207.74 | From (1175) and (5587) follows:
% 266.41/207.75 | (12306) op(e1, e0) = e4
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (12280), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (12307) ~ (op(e1, e0) = e4)
% 266.41/207.75 |
% 266.41/207.75 | Using (12306) and (12307) yields:
% 266.41/207.75 | (821) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (12306) op(e1, e0) = e4
% 266.41/207.75 | (723) all_0_34_34 = e4
% 266.41/207.75 |
% 266.41/207.75 | Equations (723) can reduce 41 to:
% 266.41/207.75 | (724) ~ (all_0_29_29 = e4)
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (357), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (1250) all_0_29_29 = e4
% 266.41/207.75 |
% 266.41/207.75 | Equations (1250) can reduce 724 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (724) ~ (all_0_29_29 = e4)
% 266.41/207.75 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (2812), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (1023) all_0_29_29 = e3
% 266.41/207.75 |
% 266.41/207.75 | From (1023) and (1837) follows:
% 266.41/207.75 | (3029) op(e4, e3) = e2
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (6049), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (2992) ~ (op(e4, e3) = e2)
% 266.41/207.75 |
% 266.41/207.75 | Using (3029) and (2992) yields:
% 266.41/207.75 | (821) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (3029) op(e4, e3) = e2
% 266.41/207.75 | (551) e2 = e0
% 266.41/207.75 |
% 266.41/207.75 | Equations (551) can reduce 347 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (898) ~ (all_0_29_29 = e3)
% 266.41/207.75 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (5409), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (4103) all_0_29_29 = e2
% 266.41/207.75 |
% 266.41/207.75 | Equations (4103) can reduce 651 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (651) ~ (all_0_29_29 = e2)
% 266.41/207.75 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (5413), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (945) all_0_29_29 = e1
% 266.41/207.75 |
% 266.41/207.75 | Equations (945) can reduce 952 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (952) ~ (all_0_29_29 = e1)
% 266.41/207.75 | (2537) all_0_29_29 = e0
% 266.41/207.75 |
% 266.41/207.75 | Equations (2537) can reduce 383 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (1409) ~ (all_0_20_20 = e1)
% 266.41/207.75 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (259), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (1278) all_0_18_18 = e1
% 266.41/207.75 |
% 266.41/207.75 | Combining equations (1278,887) yields a new equation:
% 266.41/207.75 | (480) e4 = e1
% 266.41/207.75 |
% 266.41/207.75 | Equations (480) can reduce 65 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (419) ~ (all_0_18_18 = e1)
% 266.41/207.75 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.41/207.75 |
% 266.41/207.75 | Equations (887) can reduce 419 to:
% 266.41/207.75 | (65) ~ (e4 = e1)
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (4682), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (526) all_0_21_21 = e1
% 266.41/207.75 |
% 266.41/207.75 | Combining equations (449,526) yields a new equation:
% 266.41/207.75 | (955) e4 = e1
% 266.41/207.75 |
% 266.41/207.75 | Simplifying 955 yields:
% 266.41/207.75 | (480) e4 = e1
% 266.41/207.75 |
% 266.41/207.75 | Equations (480) can reduce 65 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (363) ~ (all_0_21_21 = e1)
% 266.41/207.75 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (8300), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (3952) all_0_23_23 = e1
% 266.41/207.75 |
% 266.41/207.75 | Combining equations (851,3952) yields a new equation:
% 266.41/207.75 | (961) e1 = e0
% 266.41/207.75 |
% 266.41/207.75 | Equations (961) can reduce 37 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (420) ~ (all_0_23_23 = e1)
% 266.41/207.75 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.41/207.75 |
% 266.41/207.75 | Equations (851) can reduce 420 to:
% 266.41/207.75 | (395) ~ (e1 = e0)
% 266.41/207.75 |
% 266.41/207.75 | Simplifying 395 yields:
% 266.41/207.75 | (37) ~ (e1 = e0)
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (4688), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (999) all_0_22_22 = e1
% 266.41/207.75 |
% 266.41/207.75 | Combining equations (857,999) yields a new equation:
% 266.41/207.75 | (933) e3 = e1
% 266.41/207.75 |
% 266.41/207.75 | Simplifying 933 yields:
% 266.41/207.75 | (706) e3 = e1
% 266.41/207.75 |
% 266.41/207.75 | Equations (706) can reduce 318 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (1018) ~ (all_0_22_22 = e1)
% 266.41/207.75 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 266.41/207.75 |
% 266.41/207.75 +-Applying beta-rule and splitting (5033), into two cases.
% 266.41/207.75 |-Branch one:
% 266.41/207.75 | (3952) all_0_23_23 = e1
% 266.41/207.75 |
% 266.41/207.75 | Combining equations (851,3952) yields a new equation:
% 266.41/207.75 | (961) e1 = e0
% 266.41/207.75 |
% 266.41/207.75 | Equations (961) can reduce 37 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.41/207.75 |-Branch two:
% 266.41/207.75 | (420) ~ (all_0_23_23 = e1)
% 266.41/207.75 | (940) all_0_24_24 = e1
% 266.41/207.75 |
% 266.41/207.75 | Combining equations (1393,940) yields a new equation:
% 266.41/207.75 | (717) e2 = e1
% 266.41/207.75 |
% 266.41/207.75 | Simplifying 717 yields:
% 266.41/207.75 | (718) e2 = e1
% 266.41/207.75 |
% 266.41/207.75 | Equations (718) can reduce 329 to:
% 266.41/207.75 | (366) $false
% 266.41/207.75 |
% 266.41/207.75 |-The branch is then unsatisfiable
% 266.50/207.75 |-Branch two:
% 266.50/207.75 | (1068) ~ (all_0_23_23 = e0)
% 266.50/207.75 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.50/207.75 |
% 266.50/207.75 +-Applying beta-rule and splitting (1228), into two cases.
% 266.50/207.75 |-Branch one:
% 266.50/207.75 | (1044) all_0_28_28 = e0
% 266.50/207.75 |
% 266.50/207.75 | Equations (1044) can reduce 886 to:
% 266.50/207.75 | (366) $false
% 266.50/207.75 |
% 266.50/207.75 |-The branch is then unsatisfiable
% 266.50/207.75 |-Branch two:
% 266.50/207.75 | (886) ~ (all_0_28_28 = e0)
% 266.50/207.75 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 266.50/207.75 |
% 266.50/207.75 +-Applying beta-rule and splitting (1253), into two cases.
% 266.50/207.75 |-Branch one:
% 266.50/207.75 | (1254) all_0_33_33 = e0
% 266.50/207.75 |
% 266.50/207.75 | Combining equations (414,1254) yields a new equation:
% 266.50/207.75 | (836) e2 = e0
% 266.50/207.75 |
% 266.50/207.75 | Simplifying 836 yields:
% 266.50/207.75 | (551) e2 = e0
% 266.50/207.75 |
% 266.50/207.75 | Equations (551) can reduce 347 to:
% 266.50/207.75 | (366) $false
% 266.50/207.75 |
% 266.50/207.75 |-The branch is then unsatisfiable
% 266.50/207.75 |-Branch two:
% 266.50/207.75 | (399) ~ (all_0_33_33 = e0)
% 266.50/207.75 | (1214) all_0_38_38 = e0
% 266.50/207.75 |
% 266.50/207.75 | Equations (1214) can reduce 388 to:
% 266.50/207.75 | (366) $false
% 266.50/207.75 |
% 266.50/207.75 |-The branch is then unsatisfiable
% 266.50/207.75 |-Branch two:
% 266.50/207.75 | (489) op(e0, e0) = e4
% 266.50/207.75 | (490) e4 = e0
% 266.50/207.75 |
% 266.50/207.75 | Equations (490) can reduce 287 to:
% 266.50/207.75 | (366) $false
% 266.50/207.75 |
% 266.50/207.75 |-The branch is then unsatisfiable
% 266.50/207.75 |-Branch two:
% 266.50/207.75 | (18691) op(e0, e0) = e1
% 266.50/207.75 | (961) e1 = e0
% 266.50/207.75 |
% 266.50/207.75 | Equations (961) can reduce 37 to:
% 266.50/207.75 | (366) $false
% 266.50/207.75 |
% 266.50/207.75 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (668) ~ (all_0_24_24 = e2)
% 266.50/207.76 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (2760), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (940) all_0_24_24 = e1
% 266.50/207.76 |
% 266.50/207.76 | Equations (940) can reduce 943 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (943) ~ (all_0_24_24 = e1)
% 266.50/207.76 | (1069) all_0_24_24 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (1069) can reduce 382 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (720) ~ (all_0_19_19 = e1)
% 266.50/207.76 | (2703) all_0_19_19 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (2703) can reduce 381 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (1046) ~ (all_0_18_18 = e4)
% 266.50/207.76 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (1051), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (1515) all_0_23_23 = e4
% 266.50/207.76 |
% 266.50/207.76 | Equations (1515) can reduce 578 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (578) ~ (all_0_23_23 = e4)
% 266.50/207.76 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (166), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (464) all_0_15_15 = e4
% 266.50/207.76 |
% 266.50/207.76 | Combining equations (464,468) yields a new equation:
% 266.50/207.76 | (690) e4 = e3
% 266.50/207.76 |
% 266.50/207.76 | Simplifying 690 yields:
% 266.50/207.76 | (691) e4 = e3
% 266.50/207.76 |
% 266.50/207.76 | Equations (691) can reduce 277 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (460) ~ (all_0_15_15 = e4)
% 266.50/207.76 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (1518), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (892) all_0_28_28 = e4
% 266.50/207.76 |
% 266.50/207.76 | Equations (892) can reduce 300 to:
% 266.50/207.76 | (1046) ~ (all_0_18_18 = e4)
% 266.50/207.76 |
% 266.50/207.76 | Equations (892) can reduce 86 to:
% 266.50/207.76 | (578) ~ (all_0_23_23 = e4)
% 266.50/207.76 |
% 266.50/207.76 | Equations (892) can reduce 193 to:
% 266.50/207.76 | (501) ~ (all_0_25_25 = e4)
% 266.50/207.76 |
% 266.50/207.76 | Equations (892) can reduce 46 to:
% 266.50/207.76 | (582) ~ (all_0_26_26 = e4)
% 266.50/207.76 |
% 266.50/207.76 | Equations (892) can reduce 649 to:
% 266.50/207.76 | (19) ~ (e4 = e2)
% 266.50/207.76 |
% 266.50/207.76 | From (892) and (19967) follows:
% 266.50/207.76 | (8911) op(e0, e4) = e2
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (241), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (1921) all_0_25_25 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (1921) can reduce 95 to:
% 266.50/207.76 | (839) ~ (all_0_20_20 = e0)
% 266.50/207.76 |
% 266.50/207.76 | Equations (1921) can reduce 62 to:
% 266.50/207.76 | (3455) ~ (all_0_29_29 = e0)
% 266.50/207.76 |
% 266.50/207.76 | Simplifying 3455 yields:
% 266.50/207.76 | (383) ~ (all_0_29_29 = e0)
% 266.50/207.76 |
% 266.50/207.76 | Equations (1921) can reduce 501 to:
% 266.50/207.76 | (389) ~ (e4 = e0)
% 266.50/207.76 |
% 266.50/207.76 | Simplifying 389 yields:
% 266.50/207.76 | (287) ~ (e4 = e0)
% 266.50/207.76 |
% 266.50/207.76 | From (1921) and (20169) follows:
% 266.50/207.76 | (20393) op(e2, e0) = e2
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (185), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (1153) all_0_18_18 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (1153) can reduce 1156 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (1156) ~ (all_0_18_18 = e0)
% 266.50/207.76 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (135), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (835) all_0_20_20 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (835) can reduce 839 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (839) ~ (all_0_20_20 = e0)
% 266.50/207.76 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (840), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (529) all_0_21_21 = e0
% 266.50/207.76 |
% 266.50/207.76 | Combining equations (529,449) yields a new equation:
% 266.50/207.76 | (490) e4 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (490) can reduce 287 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (398) ~ (all_0_21_21 = e0)
% 266.50/207.76 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (449) can reduce 398 to:
% 266.50/207.76 | (287) ~ (e4 = e0)
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (694), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (701) all_0_16_16 = e4
% 266.50/207.76 |
% 266.50/207.76 | Combining equations (873,701) yields a new equation:
% 266.50/207.76 | (490) e4 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (490) can reduce 287 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (573) ~ (all_0_16_16 = e4)
% 266.50/207.76 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (864), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (865) all_0_17_17 = e4
% 266.50/207.76 |
% 266.50/207.76 | Combining equations (1980,865) yields a new equation:
% 266.50/207.76 | (539) e4 = e2
% 266.50/207.76 |
% 266.50/207.76 | Equations (539) can reduce 19 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (869) ~ (all_0_17_17 = e4)
% 266.50/207.76 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (870), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (887) all_0_18_18 = e4
% 266.50/207.76 |
% 266.50/207.76 | Equations (887) can reduce 1046 to:
% 266.50/207.76 | (366) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (1046) ~ (all_0_18_18 = e4)
% 266.50/207.76 | (711) all_0_19_19 = e4
% 266.50/207.76 |
% 266.50/207.76 | Equations (711) can reduce 229 to:
% 266.50/207.76 | (2797) ~ (all_0_29_29 = e4)
% 266.50/207.76 |
% 266.50/207.76 | Simplifying 2797 yields:
% 266.50/207.76 | (724) ~ (all_0_29_29 = e4)
% 266.50/207.76 |
% 266.50/207.76 | Equations (711) can reduce 280 to:
% 266.50/207.76 | (2206) ~ (all_0_34_34 = e4)
% 266.50/207.76 |
% 266.50/207.76 | Simplifying 2206 yields:
% 266.50/207.76 | (1395) ~ (all_0_34_34 = e4)
% 266.50/207.76 |
% 266.50/207.76 | Equations (711) can reduce 381 to:
% 266.50/207.76 | (287) ~ (e4 = e0)
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (8732), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (8912) ~ (op(e0, e4) = e2)
% 266.50/207.76 |
% 266.50/207.76 | Using (8911) and (8912) yields:
% 266.50/207.76 | (821) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.76 | (8911) op(e0, e4) = e2
% 266.50/207.76 | (797) all_0_35_35 = e2
% 266.50/207.76 |
% 266.50/207.76 | Equations (797) can reduce 96 to:
% 266.50/207.76 | (740) ~ (all_0_30_30 = e2)
% 266.50/207.76 |
% 266.50/207.76 | Equations (797) can reduce 273 to:
% 266.50/207.76 | (755) ~ (all_0_36_36 = e2)
% 266.50/207.76 |
% 266.50/207.76 | Simplifying 755 yields:
% 266.50/207.76 | (756) ~ (all_0_36_36 = e2)
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (1157), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (851) all_0_23_23 = e0
% 266.50/207.76 |
% 266.50/207.76 | Equations (851) can reduce 578 to:
% 266.50/207.76 | (389) ~ (e4 = e0)
% 266.50/207.76 |
% 266.50/207.76 | Simplifying 389 yields:
% 266.50/207.76 | (287) ~ (e4 = e0)
% 266.50/207.76 |
% 266.50/207.76 +-Applying beta-rule and splitting (20194), into two cases.
% 266.50/207.76 |-Branch one:
% 266.50/207.76 | (20437) ~ (op(e2, e0) = e2)
% 266.50/207.76 |
% 266.50/207.76 | Using (20393) and (20437) yields:
% 266.50/207.76 | (821) $false
% 266.50/207.76 |
% 266.50/207.76 |-The branch is then unsatisfiable
% 266.50/207.76 |-Branch two:
% 266.50/207.77 | (20393) op(e2, e0) = e2
% 266.50/207.77 | (4103) all_0_29_29 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (4103) can reduce 38 to:
% 266.50/207.77 | (647) ~ (all_0_26_26 = e2)
% 266.50/207.77 |
% 266.50/207.77 | Equations (4103) can reduce 724 to:
% 266.50/207.77 | (444) ~ (e4 = e2)
% 266.50/207.77 |
% 266.50/207.77 | Simplifying 444 yields:
% 266.50/207.77 | (19) ~ (e4 = e2)
% 266.50/207.77 |
% 266.50/207.77 | Equations (4103) can reduce 383 to:
% 266.50/207.77 | (347) ~ (e2 = e0)
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (239), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (768) all_0_30_30 = e4
% 266.50/207.77 |
% 266.50/207.77 | Equations (768) can reduce 740 to:
% 266.50/207.77 | (19) ~ (e4 = e2)
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (340), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (697) all_0_16_16 = e2
% 266.50/207.77 |
% 266.50/207.77 | Combining equations (697,873) yields a new equation:
% 266.50/207.77 | (836) e2 = e0
% 266.50/207.77 |
% 266.50/207.77 | Simplifying 836 yields:
% 266.50/207.77 | (551) e2 = e0
% 266.50/207.77 |
% 266.50/207.77 | Equations (551) can reduce 347 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (664) ~ (all_0_16_16 = e2)
% 266.50/207.77 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (182), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (1237) all_0_26_26 = e4
% 266.50/207.77 |
% 266.50/207.77 | Equations (1237) can reduce 582 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (582) ~ (all_0_26_26 = e4)
% 266.50/207.77 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (5353), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (2443) all_0_26_26 = e3
% 266.50/207.77 |
% 266.50/207.77 | Equations (2443) can reduce 647 to:
% 266.50/207.77 | (56) ~ (e3 = e2)
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (700), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (522) all_0_21_21 = e2
% 266.50/207.77 |
% 266.50/207.77 | Combining equations (522,449) yields a new equation:
% 266.50/207.77 | (539) e4 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (539) can reduce 19 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (361) ~ (all_0_21_21 = e2)
% 266.50/207.77 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (2289), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (2380) all_0_26_26 = e2
% 266.50/207.77 |
% 266.50/207.77 | Combining equations (2443,2380) yields a new equation:
% 266.50/207.77 | (3874) e3 = e2
% 266.50/207.77 |
% 266.50/207.77 | Simplifying 3874 yields:
% 266.50/207.77 | (764) e3 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (764) can reduce 56 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (647) ~ (all_0_26_26 = e2)
% 266.50/207.77 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (2383), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (751) all_0_31_31 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (751) can reduce 1099 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (1099) ~ (all_0_31_31 = e2)
% 266.50/207.77 | (801) all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (801) can reduce 756 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (504) ~ (all_0_26_26 = e3)
% 266.50/207.77 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (700), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (522) all_0_21_21 = e2
% 266.50/207.77 |
% 266.50/207.77 | Combining equations (522,449) yields a new equation:
% 266.50/207.77 | (539) e4 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (539) can reduce 19 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (361) ~ (all_0_21_21 = e2)
% 266.50/207.77 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (5357), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (2380) all_0_26_26 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (2380) can reduce 647 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (647) ~ (all_0_26_26 = e2)
% 266.50/207.77 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (2289), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (2380) all_0_26_26 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (2380) can reduce 647 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (647) ~ (all_0_26_26 = e2)
% 266.50/207.77 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (2383), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (751) all_0_31_31 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (751) can reduce 1099 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (1099) ~ (all_0_31_31 = e2)
% 266.50/207.77 | (801) all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (801) can reduce 756 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (509) ~ (all_0_30_30 = e4)
% 266.50/207.77 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (327), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (768) all_0_30_30 = e4
% 266.50/207.77 |
% 266.50/207.77 | Equations (768) can reduce 509 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (509) ~ (all_0_30_30 = e4)
% 266.50/207.77 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (1437), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (1446) all_0_31_31 = e4
% 266.50/207.77 |
% 266.50/207.77 | Equations (1446) can reduce 584 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (584) ~ (all_0_31_31 = e4)
% 266.50/207.77 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (1449), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (1229) all_0_32_32 = e4
% 266.50/207.77 |
% 266.50/207.77 | Combining equations (1229,1626) yields a new equation:
% 266.50/207.77 | (842) e4 = e0
% 266.50/207.77 |
% 266.50/207.77 | Simplifying 842 yields:
% 266.50/207.77 | (490) e4 = e0
% 266.50/207.77 |
% 266.50/207.77 | Equations (490) can reduce 287 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (727) ~ (all_0_32_32 = e4)
% 266.50/207.77 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (340), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (697) all_0_16_16 = e2
% 266.50/207.77 |
% 266.50/207.77 | Combining equations (697,873) yields a new equation:
% 266.50/207.77 | (836) e2 = e0
% 266.50/207.77 |
% 266.50/207.77 | Simplifying 836 yields:
% 266.50/207.77 | (551) e2 = e0
% 266.50/207.77 |
% 266.50/207.77 | Equations (551) can reduce 347 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (664) ~ (all_0_16_16 = e2)
% 266.50/207.77 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (700), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (522) all_0_21_21 = e2
% 266.50/207.77 |
% 266.50/207.77 | Combining equations (522,449) yields a new equation:
% 266.50/207.77 | (539) e4 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (539) can reduce 19 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (361) ~ (all_0_21_21 = e2)
% 266.50/207.77 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (449) can reduce 361 to:
% 266.50/207.77 | (19) ~ (e4 = e2)
% 266.50/207.77 |
% 266.50/207.77 +-Applying beta-rule and splitting (1476), into two cases.
% 266.50/207.77 |-Branch one:
% 266.50/207.77 | (406) all_0_33_33 = e4
% 266.50/207.77 |
% 266.50/207.77 | Combining equations (414,406) yields a new equation:
% 266.50/207.77 | (539) e4 = e2
% 266.50/207.77 |
% 266.50/207.77 | Equations (539) can reduce 19 to:
% 266.50/207.77 | (366) $false
% 266.50/207.77 |
% 266.50/207.77 |-The branch is then unsatisfiable
% 266.50/207.77 |-Branch two:
% 266.50/207.77 | (405) ~ (all_0_33_33 = e4)
% 266.50/207.77 | (723) all_0_34_34 = e4
% 266.50/207.77 |
% 266.52/207.77 | Equations (723) can reduce 1395 to:
% 266.52/207.77 | (366) $false
% 266.52/207.77 |
% 266.52/207.77 |-The branch is then unsatisfiable
% 266.52/207.77 |-Branch two:
% 266.52/207.77 | (1068) ~ (all_0_23_23 = e0)
% 266.52/207.77 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.52/207.77 |
% 266.52/207.77 +-Applying beta-rule and splitting (1228), into two cases.
% 266.52/207.77 |-Branch one:
% 266.52/207.77 | (1044) all_0_28_28 = e0
% 266.52/207.77 |
% 266.52/207.77 | Combining equations (892,1044) yields a new equation:
% 266.52/207.77 | (842) e4 = e0
% 266.52/207.77 |
% 266.52/207.77 | Simplifying 842 yields:
% 266.52/207.77 | (490) e4 = e0
% 266.52/207.77 |
% 266.52/207.77 | Equations (490) can reduce 287 to:
% 266.52/207.77 | (366) $false
% 266.52/207.77 |
% 266.52/207.77 |-The branch is then unsatisfiable
% 266.52/207.77 |-Branch two:
% 266.52/207.77 | (886) ~ (all_0_28_28 = e0)
% 266.52/207.77 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 266.52/207.77 |
% 266.52/207.77 +-Applying beta-rule and splitting (20194), into two cases.
% 266.52/207.77 |-Branch one:
% 266.52/207.77 | (20437) ~ (op(e2, e0) = e2)
% 266.52/207.77 |
% 266.52/207.77 | Using (20393) and (20437) yields:
% 266.52/207.77 | (821) $false
% 266.52/207.77 |
% 266.52/207.77 |-The branch is then unsatisfiable
% 266.52/207.77 |-Branch two:
% 266.52/207.77 | (20393) op(e2, e0) = e2
% 266.52/207.77 | (4103) all_0_29_29 = e2
% 266.52/207.77 |
% 266.52/207.77 | Equations (4103) can reduce 383 to:
% 266.52/207.77 | (347) ~ (e2 = e0)
% 266.52/207.77 |
% 266.52/207.77 +-Applying beta-rule and splitting (340), into two cases.
% 266.52/207.77 |-Branch one:
% 266.52/207.77 | (697) all_0_16_16 = e2
% 266.52/207.77 |
% 266.52/207.77 | Combining equations (873,697) yields a new equation:
% 266.52/207.77 | (551) e2 = e0
% 266.52/207.77 |
% 266.52/207.77 | Equations (551) can reduce 347 to:
% 266.52/207.77 | (366) $false
% 266.52/207.77 |
% 266.52/207.77 |-The branch is then unsatisfiable
% 266.52/207.77 |-Branch two:
% 266.52/207.77 | (664) ~ (all_0_16_16 = e2)
% 266.52/207.77 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.52/207.77 |
% 266.52/207.77 | Equations (873) can reduce 664 to:
% 266.52/207.77 | (393) ~ (e2 = e0)
% 266.52/207.77 |
% 266.52/207.77 | Simplifying 393 yields:
% 266.52/207.77 | (347) ~ (e2 = e0)
% 266.52/207.77 |
% 266.52/207.77 +-Applying beta-rule and splitting (1253), into two cases.
% 266.52/207.77 |-Branch one:
% 266.52/207.77 | (1254) all_0_33_33 = e0
% 266.52/207.77 |
% 266.52/207.77 | Combining equations (1254,414) yields a new equation:
% 266.52/207.77 | (551) e2 = e0
% 266.52/207.77 |
% 266.52/207.77 | Equations (551) can reduce 347 to:
% 266.52/207.77 | (366) $false
% 266.52/207.77 |
% 266.52/207.77 |-The branch is then unsatisfiable
% 266.52/207.77 |-Branch two:
% 266.52/207.77 | (399) ~ (all_0_33_33 = e0)
% 266.52/207.77 | (1214) all_0_38_38 = e0
% 266.52/207.77 |
% 266.52/207.77 | Equations (1214) can reduce 388 to:
% 266.52/207.77 | (366) $false
% 266.52/207.77 |
% 266.52/207.77 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (1925) ~ (all_0_25_25 = e0)
% 266.52/207.78 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (185), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (1153) all_0_18_18 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (1153) can reduce 1156 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (1156) ~ (all_0_18_18 = e0)
% 266.52/207.78 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (1157), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (851) all_0_23_23 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (851) can reduce 578 to:
% 266.52/207.78 | (389) ~ (e4 = e0)
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 389 yields:
% 266.52/207.78 | (287) ~ (e4 = e0)
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (1926), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (883) all_0_26_26 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (883) can reduce 1058 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (1058) ~ (all_0_26_26 = e0)
% 266.52/207.78 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (2527), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (546) all_0_27_27 = e0
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (546,543) yields a new equation:
% 266.52/207.78 | (961) e1 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (961) can reduce 37 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (434) ~ (all_0_27_27 = e0)
% 266.52/207.78 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (2533), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (1044) all_0_28_28 = e0
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (892,1044) yields a new equation:
% 266.52/207.78 | (842) e4 = e0
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 842 yields:
% 266.52/207.78 | (490) e4 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (490) can reduce 287 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (886) ~ (all_0_28_28 = e0)
% 266.52/207.78 | (2537) all_0_29_29 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (2537) can reduce 383 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (1068) ~ (all_0_23_23 = e0)
% 266.52/207.78 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (1228), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (1044) all_0_28_28 = e0
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (892,1044) yields a new equation:
% 266.52/207.78 | (842) e4 = e0
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 842 yields:
% 266.52/207.78 | (490) e4 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (490) can reduce 287 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (886) ~ (all_0_28_28 = e0)
% 266.52/207.78 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (1253), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (1254) all_0_33_33 = e0
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (414,1254) yields a new equation:
% 266.52/207.78 | (836) e2 = e0
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 836 yields:
% 266.52/207.78 | (551) e2 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (551) can reduce 347 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (399) ~ (all_0_33_33 = e0)
% 266.52/207.78 | (1214) all_0_38_38 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (1214) can reduce 388 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (890) ~ (all_0_28_28 = e4)
% 266.52/207.78 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (694), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (701) all_0_16_16 = e4
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (701,873) yields a new equation:
% 266.52/207.78 | (842) e4 = e0
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 842 yields:
% 266.52/207.78 | (490) e4 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (490) can reduce 287 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (573) ~ (all_0_16_16 = e4)
% 266.52/207.78 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (864), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (865) all_0_17_17 = e4
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (865,1980) yields a new equation:
% 266.52/207.78 | (1111) e4 = e2
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 1111 yields:
% 266.52/207.78 | (539) e4 = e2
% 266.52/207.78 |
% 266.52/207.78 | Equations (539) can reduce 19 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (869) ~ (all_0_17_17 = e4)
% 266.52/207.78 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 266.52/207.78 |
% 266.52/207.78 | Equations (1980) can reduce 869 to:
% 266.52/207.78 | (444) ~ (e4 = e2)
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 444 yields:
% 266.52/207.78 | (19) ~ (e4 = e2)
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (1522), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (406) all_0_33_33 = e4
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (406,414) yields a new equation:
% 266.52/207.78 | (1111) e4 = e2
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 1111 yields:
% 266.52/207.78 | (539) e4 = e2
% 266.52/207.78 |
% 266.52/207.78 | Equations (539) can reduce 19 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (405) ~ (all_0_33_33 = e4)
% 266.52/207.78 | (1165) all_0_38_38 = e4
% 266.52/207.78 |
% 266.52/207.78 | Equations (1165) can reduce 1143 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (774) ~ (all_0_22_22 = e3)
% 266.52/207.78 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (153), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (831) all_0_22_22 = e4
% 266.52/207.78 |
% 266.52/207.78 | Equations (831) can reduce 576 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (576) ~ (all_0_22_22 = e4)
% 266.52/207.78 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (834), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (857) all_0_22_22 = e3
% 266.52/207.78 |
% 266.52/207.78 | Equations (857) can reduce 774 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (774) ~ (all_0_22_22 = e3)
% 266.52/207.78 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (860), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (917) all_0_22_22 = e2
% 266.52/207.78 |
% 266.52/207.78 | Equations (917) can reduce 493 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (493) ~ (all_0_22_22 = e2)
% 266.52/207.78 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (920), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (999) all_0_22_22 = e1
% 266.52/207.78 |
% 266.52/207.78 | Equations (999) can reduce 1018 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (1018) ~ (all_0_22_22 = e1)
% 266.52/207.78 | (847) all_0_22_22 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (847) can reduce 826 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (459) ~ (all_0_17_17 = e2)
% 266.52/207.78 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (1983), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (1498) all_0_17_17 = e1
% 266.52/207.78 |
% 266.52/207.78 | Equations (1498) can reduce 1501 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (1501) ~ (all_0_17_17 = e1)
% 266.52/207.78 | (823) all_0_17_17 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (823) can reduce 2422 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (1946) ~ (all_0_32_32 = e0)
% 266.52/207.78 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (1947), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (1254) all_0_33_33 = e0
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (414,1254) yields a new equation:
% 266.52/207.78 | (836) e2 = e0
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 836 yields:
% 266.52/207.78 | (551) e2 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (551) can reduce 347 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (399) ~ (all_0_33_33 = e0)
% 266.52/207.78 | (1717) all_0_34_34 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (1717) can reduce 384 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (824) ~ (all_0_16_16 = e0)
% 266.52/207.78 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (334), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (483) all_0_15_15 = e0
% 266.52/207.78 |
% 266.52/207.78 | Combining equations (483,468) yields a new equation:
% 266.52/207.78 | (980) e3 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (980) can reduce 88 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (463) ~ (all_0_15_15 = e0)
% 266.52/207.78 | (2584) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 266.52/207.78 |
% 266.52/207.78 | Equations (468) can reduce 463 to:
% 266.52/207.78 | (88) ~ (e3 = e0)
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (270), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (701) all_0_16_16 = e4
% 266.52/207.78 |
% 266.52/207.78 | Equations (701) can reduce 573 to:
% 266.52/207.78 | (366) $false
% 266.52/207.78 |
% 266.52/207.78 |-The branch is then unsatisfiable
% 266.52/207.78 |-Branch two:
% 266.52/207.78 | (573) ~ (all_0_16_16 = e4)
% 266.52/207.78 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (240), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (865) all_0_17_17 = e4
% 266.52/207.78 |
% 266.52/207.78 | Equations (865) can reduce 169 to:
% 266.52/207.78 | (573) ~ (all_0_16_16 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Equations (865) can reduce 74 to:
% 266.52/207.78 | (1493) ~ (all_0_18_18 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 1493 yields:
% 266.52/207.78 | (1046) ~ (all_0_18_18 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Equations (865) can reduce 333 to:
% 266.52/207.78 | (6514) ~ (all_0_19_19 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 6514 yields:
% 266.52/207.78 | (714) ~ (all_0_19_19 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Equations (865) can reduce 286 to:
% 266.52/207.78 | (1495) ~ (all_0_32_32 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 1495 yields:
% 266.52/207.78 | (727) ~ (all_0_32_32 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Equations (865) can reduce 132 to:
% 266.52/207.78 | (3299) ~ (all_0_37_37 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Simplifying 3299 yields:
% 266.52/207.78 | (2658) ~ (all_0_37_37 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Equations (865) can reduce 558 to:
% 266.52/207.78 | (277) ~ (e4 = e3)
% 266.52/207.78 |
% 266.52/207.78 | Equations (865) can reduce 1501 to:
% 266.52/207.78 | (65) ~ (e4 = e1)
% 266.52/207.78 |
% 266.52/207.78 | From (865) and (57) follows:
% 266.52/207.78 | (1273) op(e4, all_0_25_25) = e2
% 266.52/207.78 |
% 266.52/207.78 | From (865) and (49) follows:
% 266.52/207.78 | (5082) op(all_0_25_25, e4) = e4
% 266.52/207.78 |
% 266.52/207.78 | From (865) and (219) follows:
% 266.52/207.78 | (1462) op(e4, e2) = e4
% 266.52/207.78 |
% 266.52/207.78 +-Applying beta-rule and splitting (14988), into two cases.
% 266.52/207.78 |-Branch one:
% 266.52/207.78 | (20680) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 266.52/207.78 |
% 266.52/207.78 | Applying alpha-rule on (20680) yields:
% 266.52/207.79 | (20681) all_0_5_5 = all_0_32_32
% 266.52/207.79 | (727) ~ (all_0_32_32 = e4)
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (2584), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (873) all_0_16_16 = e0
% 266.52/207.79 |
% 266.52/207.79 | Equations (873) can reduce 824 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (824) ~ (all_0_16_16 = e0)
% 266.52/207.79 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (2692), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (823) all_0_17_17 = e0
% 266.52/207.79 |
% 266.52/207.79 | Combining equations (865,823) yields a new equation:
% 266.52/207.79 | (842) e4 = e0
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 842 yields:
% 266.52/207.79 | (490) e4 = e0
% 266.52/207.79 |
% 266.52/207.79 | Equations (490) can reduce 287 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (2422) ~ (all_0_17_17 = e0)
% 266.52/207.79 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (2697), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (1153) all_0_18_18 = e0
% 266.52/207.79 |
% 266.52/207.79 | Equations (1153) can reduce 337 to:
% 266.52/207.79 | (5576) ~ (all_0_19_19 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 5576 yields:
% 266.52/207.79 | (381) ~ (all_0_19_19 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Equations (1153) can reduce 300 to:
% 266.52/207.79 | (885) ~ (all_0_28_28 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 885 yields:
% 266.52/207.79 | (886) ~ (all_0_28_28 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Equations (1153) can reduce 142 to:
% 266.52/207.79 | (1285) ~ (all_0_38_38 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 1285 yields:
% 266.52/207.79 | (388) ~ (all_0_38_38 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Equations (1153) can reduce 1046 to:
% 266.52/207.79 | (389) ~ (e4 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 389 yields:
% 266.52/207.79 | (287) ~ (e4 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Equations (1153) can reduce 560 to:
% 266.52/207.79 | (391) ~ (e3 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 391 yields:
% 266.52/207.79 | (88) ~ (e3 = e0)
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (14993), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (20704) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Applying alpha-rule on (20704) yields:
% 266.52/207.79 | (18221) all_0_8_8 = all_0_28_28
% 266.52/207.79 | (886) ~ (all_0_28_28 = e0)
% 266.52/207.79 |
% 266.52/207.79 | Instantiating formula (97) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, yields:
% 266.52/207.79 | (19152) e4 = e2 | ~ (op(e4, e2) = e2)
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (165), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (1161) all_0_35_35 = e4
% 266.52/207.79 |
% 266.52/207.79 | Equations (1161) can reduce 96 to:
% 266.52/207.79 | (509) ~ (all_0_30_30 = e4)
% 266.52/207.79 |
% 266.52/207.79 | Equations (1161) can reduce 173 to:
% 266.52/207.79 | (1142) ~ (all_0_38_38 = e4)
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 1142 yields:
% 266.52/207.79 | (1143) ~ (all_0_38_38 = e4)
% 266.52/207.79 |
% 266.52/207.79 | Equations (1161) can reduce 385 to:
% 266.52/207.79 | (287) ~ (e4 = e0)
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (36), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (887) all_0_18_18 = e4
% 266.52/207.79 |
% 266.52/207.79 | Combining equations (1153,887) yields a new equation:
% 266.52/207.79 | (490) e4 = e0
% 266.52/207.79 |
% 266.52/207.79 | Equations (490) can reduce 287 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (1046) ~ (all_0_18_18 = e4)
% 266.52/207.79 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (327), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (768) all_0_30_30 = e4
% 266.52/207.79 |
% 266.52/207.79 | Equations (768) can reduce 509 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (509) ~ (all_0_30_30 = e4)
% 266.52/207.79 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (1051), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (1515) all_0_23_23 = e4
% 266.52/207.79 |
% 266.52/207.79 | Equations (1515) can reduce 578 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (578) ~ (all_0_23_23 = e4)
% 266.52/207.79 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (1518), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (892) all_0_28_28 = e4
% 266.52/207.79 |
% 266.52/207.79 | Combining equations (892,18221) yields a new equation:
% 266.52/207.79 | (18227) all_0_8_8 = e4
% 266.52/207.79 |
% 266.52/207.79 | Equations (892) can reduce 193 to:
% 266.52/207.79 | (501) ~ (all_0_25_25 = e4)
% 266.52/207.79 |
% 266.52/207.79 | Equations (892) can reduce 649 to:
% 266.52/207.79 | (19) ~ (e4 = e2)
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (1437), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (1446) all_0_31_31 = e4
% 266.52/207.79 |
% 266.52/207.79 | Equations (1446) can reduce 584 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (584) ~ (all_0_31_31 = e4)
% 266.52/207.79 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (1449), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (1229) all_0_32_32 = e4
% 266.52/207.79 |
% 266.52/207.79 | Equations (1229) can reduce 727 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (727) ~ (all_0_32_32 = e4)
% 266.52/207.79 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (1476), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (406) all_0_33_33 = e4
% 266.52/207.79 |
% 266.52/207.79 | Combining equations (406,414) yields a new equation:
% 266.52/207.79 | (1111) e4 = e2
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 1111 yields:
% 266.52/207.79 | (539) e4 = e2
% 266.52/207.79 |
% 266.52/207.79 | Equations (539) can reduce 19 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (405) ~ (all_0_33_33 = e4)
% 266.52/207.79 | (723) all_0_34_34 = e4
% 266.52/207.79 |
% 266.52/207.79 | Equations (723) can reduce 188 to:
% 266.52/207.79 | (584) ~ (all_0_31_31 = e4)
% 266.52/207.79 |
% 266.52/207.79 | Equations (723) can reduce 384 to:
% 266.52/207.79 | (287) ~ (e4 = e0)
% 266.52/207.79 |
% 266.52/207.79 +-Applying beta-rule and splitting (15017), into two cases.
% 266.52/207.79 |-Branch one:
% 266.52/207.79 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 266.52/207.79 |
% 266.52/207.79 | Applying alpha-rule on (18220) yields:
% 266.52/207.79 | (18221) all_0_8_8 = all_0_28_28
% 266.52/207.79 | (890) ~ (all_0_28_28 = e4)
% 266.52/207.79 |
% 266.52/207.79 | Combining equations (18221,18227) yields a new equation:
% 266.52/207.79 | (18238) all_0_28_28 = e4
% 266.52/207.79 |
% 266.52/207.79 | Simplifying 18238 yields:
% 266.52/207.79 | (892) all_0_28_28 = e4
% 266.52/207.79 |
% 266.52/207.79 | Equations (892) can reduce 890 to:
% 266.52/207.79 | (366) $false
% 266.52/207.79 |
% 266.52/207.79 |-The branch is then unsatisfiable
% 266.52/207.79 |-Branch two:
% 266.52/207.79 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.52/207.79 |
% 266.52/207.79 | Applying alpha-rule on (18241) yields:
% 266.52/207.80 | (18221) all_0_8_8 = all_0_28_28
% 266.52/207.80 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.52/207.80 |
% 266.52/207.80 | Combining equations (18221,18227) yields a new equation:
% 266.52/207.80 | (18238) all_0_28_28 = e4
% 266.52/207.80 |
% 266.52/207.80 | Simplifying 18238 yields:
% 266.52/207.80 | (892) all_0_28_28 = e4
% 266.52/207.80 |
% 266.52/207.80 +-Applying beta-rule and splitting (18243), into two cases.
% 266.52/207.80 |-Branch one:
% 266.52/207.80 | (20757) ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6
% 266.52/207.80 |
% 266.52/207.80 | Applying alpha-rule on (20757) yields:
% 266.52/207.80 | (20758) ~ (all_0_6_6 = e0)
% 266.52/207.80 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 266.52/207.80 |
% 266.52/207.80 | From (892) and (19549) follows:
% 266.52/207.80 | (20760) op(e2, e4) = all_0_6_6
% 266.52/207.80 |
% 266.52/207.80 | Instantiating formula (97) with e2, e4, all_0_6_6, all_0_25_25 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = all_0_25_25, yields:
% 266.52/207.80 | (20761) all_0_6_6 = all_0_25_25
% 266.52/207.80 |
% 266.52/207.80 | Equations (20761) can reduce 20758 to:
% 266.52/207.80 | (1925) ~ (all_0_25_25 = e0)
% 266.52/207.80 |
% 266.52/207.80 +-Applying beta-rule and splitting (241), into two cases.
% 266.52/207.80 |-Branch one:
% 266.52/207.80 | (1921) all_0_25_25 = e0
% 266.52/207.80 |
% 266.52/207.80 | Equations (1921) can reduce 1925 to:
% 266.52/207.80 | (366) $false
% 266.52/207.80 |
% 266.52/207.80 |-The branch is then unsatisfiable
% 266.52/207.80 |-Branch two:
% 266.52/207.80 | (1925) ~ (all_0_25_25 = e0)
% 266.52/207.80 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.52/207.80 |
% 266.52/207.80 +-Applying beta-rule and splitting (1926), into two cases.
% 266.52/207.80 |-Branch one:
% 266.52/207.80 | (883) all_0_26_26 = e0
% 266.52/207.80 |
% 266.52/207.80 | Equations (883) can reduce 128 to:
% 266.52/207.80 | (1925) ~ (all_0_25_25 = e0)
% 266.52/207.80 |
% 266.52/207.80 +-Applying beta-rule and splitting (168), into two cases.
% 266.52/207.80 |-Branch one:
% 266.52/207.80 | (2438) all_0_25_25 = e3
% 266.52/207.80 |
% 266.52/207.80 | Equations (2438) can reduce 566 to:
% 266.52/207.80 | (366) $false
% 266.52/207.80 |
% 266.52/207.80 |-The branch is then unsatisfiable
% 266.52/207.80 |-Branch two:
% 266.52/207.80 | (566) ~ (all_0_25_25 = e3)
% 266.52/207.80 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.52/207.80 |
% 266.52/207.80 +-Applying beta-rule and splitting (245), into two cases.
% 266.52/207.80 |-Branch one:
% 266.52/207.80 | (1158) all_0_25_25 = e4
% 266.52/207.80 |
% 266.52/207.80 | Equations (1158) can reduce 501 to:
% 266.52/207.80 | (366) $false
% 266.52/207.80 |
% 266.52/207.80 |-The branch is then unsatisfiable
% 266.52/207.80 |-Branch two:
% 266.52/207.80 | (501) ~ (all_0_25_25 = e4)
% 266.52/207.80 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.52/207.80 |
% 266.52/207.80 +-Applying beta-rule and splitting (3136), into two cases.
% 266.52/207.80 |-Branch one:
% 266.52/207.80 | (2438) all_0_25_25 = e3
% 266.52/207.80 |
% 266.52/207.80 | Equations (2438) can reduce 566 to:
% 266.52/207.80 | (366) $false
% 266.52/207.80 |
% 266.52/207.80 |-The branch is then unsatisfiable
% 266.52/207.80 |-Branch two:
% 266.52/207.80 | (566) ~ (all_0_25_25 = e3)
% 266.52/207.80 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.52/207.80 |
% 266.52/207.80 +-Applying beta-rule and splitting (3158), into two cases.
% 266.52/207.80 |-Branch one:
% 266.52/207.80 | (3159) all_0_25_25 = e2
% 266.52/207.80 |
% 266.52/207.80 | Equations (3159) can reduce 501 to:
% 266.52/207.80 | (444) ~ (e4 = e2)
% 266.52/207.80 |
% 266.52/207.80 | Simplifying 444 yields:
% 266.52/207.80 | (19) ~ (e4 = e2)
% 266.52/207.80 |
% 266.52/207.80 | From (3159) and (1273) follows:
% 266.52/207.80 | (18457) op(e4, e2) = e2
% 266.52/207.80 |
% 266.52/207.80 +-Applying beta-rule and splitting (19152), into two cases.
% 266.52/207.80 |-Branch one:
% 266.52/207.80 | (19153) ~ (op(e4, e2) = e2)
% 266.52/207.80 |
% 266.52/207.81 | Using (18457) and (19153) yields:
% 266.52/207.81 | (821) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (18457) op(e4, e2) = e2
% 266.52/207.81 | (539) e4 = e2
% 266.52/207.81 |
% 266.52/207.81 | Equations (539) can reduce 19 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (646) ~ (all_0_25_25 = e2)
% 266.52/207.81 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.52/207.81 |
% 266.52/207.81 +-Applying beta-rule and splitting (3162), into two cases.
% 266.52/207.81 |-Branch one:
% 266.52/207.81 | (950) all_0_25_25 = e1
% 266.52/207.81 |
% 266.52/207.81 | Equations (950) can reduce 946 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (946) ~ (all_0_25_25 = e1)
% 266.52/207.81 | (1921) all_0_25_25 = e0
% 266.52/207.81 |
% 266.52/207.81 | Equations (1921) can reduce 1925 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (1058) ~ (all_0_26_26 = e0)
% 266.52/207.81 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.52/207.81 |
% 266.52/207.81 +-Applying beta-rule and splitting (876), into two cases.
% 266.52/207.81 |-Branch one:
% 266.52/207.81 | (529) all_0_21_21 = e0
% 266.52/207.81 |
% 266.52/207.81 | Combining equations (449,529) yields a new equation:
% 266.52/207.81 | (842) e4 = e0
% 266.52/207.81 |
% 266.52/207.81 | Simplifying 842 yields:
% 266.52/207.81 | (490) e4 = e0
% 266.52/207.81 |
% 266.52/207.81 | Equations (490) can reduce 287 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (398) ~ (all_0_21_21 = e0)
% 266.52/207.81 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.52/207.81 |
% 266.52/207.81 +-Applying beta-rule and splitting (882), into two cases.
% 266.52/207.81 |-Branch one:
% 266.52/207.81 | (883) all_0_26_26 = e0
% 266.52/207.81 |
% 266.52/207.81 | Equations (883) can reduce 1058 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (1058) ~ (all_0_26_26 = e0)
% 266.52/207.81 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 266.52/207.81 |
% 266.52/207.81 +-Applying beta-rule and splitting (1059), into two cases.
% 266.52/207.81 |-Branch one:
% 266.52/207.81 | (1060) all_0_31_31 = e0
% 266.52/207.81 |
% 266.52/207.81 | Equations (1060) can reduce 584 to:
% 266.52/207.81 | (389) ~ (e4 = e0)
% 266.52/207.81 |
% 266.52/207.81 | Simplifying 389 yields:
% 266.52/207.81 | (287) ~ (e4 = e0)
% 266.52/207.81 |
% 266.52/207.81 +-Applying beta-rule and splitting (2527), into two cases.
% 266.52/207.81 |-Branch one:
% 266.52/207.81 | (546) all_0_27_27 = e0
% 266.52/207.81 |
% 266.52/207.81 | Combining equations (543,546) yields a new equation:
% 266.52/207.81 | (960) e1 = e0
% 266.52/207.81 |
% 266.52/207.81 | Simplifying 960 yields:
% 266.52/207.81 | (961) e1 = e0
% 266.52/207.81 |
% 266.52/207.81 | Equations (961) can reduce 37 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (434) ~ (all_0_27_27 = e0)
% 266.52/207.81 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 266.52/207.81 |
% 266.52/207.81 +-Applying beta-rule and splitting (2533), into two cases.
% 266.52/207.81 |-Branch one:
% 266.52/207.81 | (1044) all_0_28_28 = e0
% 266.52/207.81 |
% 266.52/207.81 | Combining equations (892,1044) yields a new equation:
% 266.52/207.81 | (842) e4 = e0
% 266.52/207.81 |
% 266.52/207.81 | Simplifying 842 yields:
% 266.52/207.81 | (490) e4 = e0
% 266.52/207.81 |
% 266.52/207.81 | Equations (490) can reduce 287 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (886) ~ (all_0_28_28 = e0)
% 266.52/207.81 | (2537) all_0_29_29 = e0
% 266.52/207.81 |
% 266.52/207.81 | Equations (2537) can reduce 383 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (1064) ~ (all_0_31_31 = e0)
% 266.52/207.81 | (1065) all_0_36_36 = e0
% 266.52/207.81 |
% 266.52/207.81 | Equations (1065) can reduce 386 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (20828) ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.52/207.81 |
% 266.52/207.81 | Applying alpha-rule on (20828) yields:
% 266.52/207.81 | (20829) ~ (all_0_7_7 = e3)
% 266.52/207.81 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.52/207.81 |
% 266.52/207.81 | From (892)(892) and (19927) follows:
% 266.52/207.81 | (20831) op(e4, e4) = all_0_7_7
% 266.52/207.81 |
% 266.52/207.81 | Instantiating formula (97) with e4, e4, all_0_7_7, e3 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e3, yields:
% 266.52/207.81 | (20832) all_0_7_7 = e3
% 266.52/207.81 |
% 266.52/207.81 | Equations (20832) can reduce 20829 to:
% 266.52/207.81 | (366) $false
% 266.52/207.81 |
% 266.52/207.81 |-The branch is then unsatisfiable
% 266.52/207.81 |-Branch two:
% 266.52/207.81 | (890) ~ (all_0_28_28 = e4)
% 266.52/207.81 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.52/207.81 |
% 266.52/207.81 +-Applying beta-rule and splitting (1522), into two cases.
% 266.52/207.81 |-Branch one:
% 266.52/207.81 | (406) all_0_33_33 = e4
% 266.52/207.81 |
% 266.52/207.81 | Combining equations (406,414) yields a new equation:
% 266.52/207.81 | (1111) e4 = e2
% 266.52/207.81 |
% 266.56/207.81 | Simplifying 1111 yields:
% 266.56/207.81 | (539) e4 = e2
% 266.56/207.81 |
% 266.56/207.81 | Equations (539) can reduce 19 to:
% 266.56/207.81 | (366) $false
% 266.56/207.81 |
% 266.56/207.81 |-The branch is then unsatisfiable
% 266.56/207.81 |-Branch two:
% 266.56/207.81 | (405) ~ (all_0_33_33 = e4)
% 266.56/207.81 | (1165) all_0_38_38 = e4
% 266.56/207.81 |
% 266.56/207.81 | Equations (1165) can reduce 1143 to:
% 266.56/207.81 | (366) $false
% 266.56/207.81 |
% 266.56/207.81 |-The branch is then unsatisfiable
% 266.56/207.82 |-Branch two:
% 266.56/207.82 | (514) ~ (all_0_35_35 = e4)
% 266.56/207.82 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.56/207.82 |
% 266.56/207.82 +-Applying beta-rule and splitting (1164), into two cases.
% 266.56/207.82 |-Branch one:
% 266.56/207.82 | (2611) all_0_36_36 = e4
% 266.56/207.82 |
% 266.56/207.82 | Equations (2611) can reduce 586 to:
% 266.56/207.82 | (366) $false
% 266.56/207.82 |
% 266.56/207.82 |-The branch is then unsatisfiable
% 266.56/207.82 |-Branch two:
% 266.56/207.82 | (586) ~ (all_0_36_36 = e4)
% 266.56/207.82 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.56/207.82 |
% 266.56/207.82 +-Applying beta-rule and splitting (2633), into two cases.
% 266.56/207.82 |-Branch one:
% 266.56/207.82 | (1232) all_0_37_37 = e4
% 266.56/207.82 |
% 266.56/207.82 | Equations (1232) can reduce 2658 to:
% 266.56/207.82 | (366) $false
% 266.56/207.82 |
% 266.56/207.82 |-The branch is then unsatisfiable
% 266.56/207.82 |-Branch two:
% 266.56/207.82 | (2658) ~ (all_0_37_37 = e4)
% 266.56/207.82 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 266.56/207.82 |
% 266.56/207.82 +-Applying beta-rule and splitting (2659), into two cases.
% 266.56/207.82 |-Branch one:
% 266.56/207.82 | (1165) all_0_38_38 = e4
% 266.56/207.82 |
% 266.56/207.82 | Equations (1165) can reduce 198 to:
% 266.56/207.82 | (890) ~ (all_0_28_28 = e4)
% 266.56/207.82 |
% 266.56/207.82 | Equations (1165) can reduce 388 to:
% 266.56/207.82 | (287) ~ (e4 = e0)
% 266.56/207.82 |
% 266.56/207.82 | From (1165) and (235) follows:
% 266.56/207.82 | (10431) op(e0, e1) = e4
% 266.56/207.82 |
% 266.56/207.82 +-Applying beta-rule and splitting (259), into two cases.
% 266.56/207.82 |-Branch one:
% 266.56/207.82 | (1278) all_0_18_18 = e1
% 266.56/207.82 |
% 266.56/207.82 | Combining equations (1153,1278) yields a new equation:
% 266.56/207.82 | (961) e1 = e0
% 266.56/207.82 |
% 266.56/207.82 | Equations (961) can reduce 37 to:
% 266.56/207.82 | (366) $false
% 266.56/207.82 |
% 266.56/207.82 |-The branch is then unsatisfiable
% 266.56/207.82 |-Branch two:
% 266.56/207.82 | (419) ~ (all_0_18_18 = e1)
% 266.56/207.82 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.56/207.82 |
% 266.56/207.82 +-Applying beta-rule and splitting (8300), into two cases.
% 266.56/207.82 |-Branch one:
% 266.56/207.82 | (3952) all_0_23_23 = e1
% 266.56/207.82 |
% 266.56/207.82 | Equations (3952) can reduce 86 to:
% 266.56/207.82 | (4011) ~ (all_0_28_28 = e1)
% 266.56/207.82 |
% 266.56/207.82 | Simplifying 4011 yields:
% 266.56/207.82 | (421) ~ (all_0_28_28 = e1)
% 266.56/207.82 |
% 266.56/207.82 | From (3952) and (301) follows:
% 266.56/207.82 | (20865) op(all_0_31_31, e1) = e3
% 266.56/207.82 |
% 266.56/207.82 +-Applying beta-rule and splitting (338), into two cases.
% 266.56/207.82 |-Branch one:
% 266.56/207.82 | (892) all_0_28_28 = e4
% 266.56/207.82 |
% 266.56/207.82 | Equations (892) can reduce 890 to:
% 266.56/207.82 | (366) $false
% 266.56/207.82 |
% 266.56/207.82 |-The branch is then unsatisfiable
% 266.56/207.82 |-Branch two:
% 266.56/207.82 | (890) ~ (all_0_28_28 = e4)
% 266.56/207.82 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.56/207.82 |
% 266.56/207.82 +-Applying beta-rule and splitting (895), into two cases.
% 266.56/207.82 |-Branch one:
% 266.56/207.82 | (896) all_0_28_28 = e3
% 266.56/207.82 |
% 266.56/207.82 | Combining equations (896,18221) yields a new equation:
% 266.56/207.82 | (20871) all_0_8_8 = e3
% 266.56/207.82 |
% 266.56/207.82 | Equations (896) can reduce 890 to:
% 266.56/207.82 | (695) ~ (e4 = e3)
% 266.56/207.82 |
% 266.56/207.82 | Simplifying 695 yields:
% 266.56/207.82 | (277) ~ (e4 = e3)
% 266.56/207.82 |
% 266.56/207.82 +-Applying beta-rule and splitting (15009), into two cases.
% 266.56/207.82 |-Branch one:
% 266.56/207.82 | (18710) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)
% 266.56/207.82 |
% 266.56/207.82 | Applying alpha-rule on (18710) yields:
% 266.56/207.82 | (18221) all_0_8_8 = all_0_28_28
% 266.56/207.82 | (1035) ~ (all_0_28_28 = e3)
% 266.56/207.82 |
% 266.56/207.82 | Combining equations (18221,20871) yields a new equation:
% 266.56/207.82 | (20877) all_0_28_28 = e3
% 266.56/207.82 |
% 266.56/207.82 | Simplifying 20877 yields:
% 266.56/207.82 | (896) all_0_28_28 = e3
% 266.56/207.82 |
% 266.56/207.82 | Equations (896) can reduce 1035 to:
% 266.56/207.82 | (366) $false
% 266.56/207.82 |
% 266.56/207.82 |-The branch is then unsatisfiable
% 266.56/207.82 |-Branch two:
% 266.56/207.82 | (18816) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.56/207.82 |
% 266.56/207.82 | Applying alpha-rule on (18816) yields:
% 266.56/207.82 | (18221) all_0_8_8 = all_0_28_28
% 266.56/207.82 | (18818) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.56/207.82 |
% 266.56/207.82 | Combining equations (18221,20871) yields a new equation:
% 266.56/207.83 | (20877) all_0_28_28 = e3
% 266.56/207.83 |
% 266.56/207.83 | Simplifying 20877 yields:
% 266.56/207.83 | (896) all_0_28_28 = e3
% 266.56/207.83 |
% 266.56/207.83 +-Applying beta-rule and splitting (18818), into two cases.
% 266.56/207.83 |-Branch one:
% 266.56/207.83 | (20757) ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6
% 266.56/207.83 |
% 266.56/207.83 | Applying alpha-rule on (20757) yields:
% 266.56/207.83 | (20758) ~ (all_0_6_6 = e0)
% 266.56/207.83 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 266.56/207.83 |
% 266.56/207.83 | From (896) and (19549) follows:
% 266.56/207.83 | (20888) op(e2, e3) = all_0_6_6
% 266.56/207.83 |
% 266.56/207.83 | Instantiating formula (97) with e2, e3, all_0_6_6, all_0_26_26 and discharging atoms op(e2, e3) = all_0_6_6, op(e2, e3) = all_0_26_26, yields:
% 266.56/207.83 | (20889) all_0_6_6 = all_0_26_26
% 266.56/207.83 |
% 266.56/207.83 | Instantiating formula (97) with e0, e1, e4, e3 and discharging atoms op(e0, e1) = e4, yields:
% 266.56/207.83 | (20890) e4 = e3 | ~ (op(e0, e1) = e3)
% 266.56/207.83 |
% 266.56/207.83 | Equations (20889) can reduce 20758 to:
% 266.56/207.83 | (1058) ~ (all_0_26_26 = e0)
% 266.56/207.83 |
% 266.56/207.83 +-Applying beta-rule and splitting (876), into two cases.
% 266.56/207.83 |-Branch one:
% 266.56/207.83 | (529) all_0_21_21 = e0
% 266.56/207.83 |
% 266.56/207.83 | Combining equations (449,529) yields a new equation:
% 266.56/207.83 | (842) e4 = e0
% 266.56/207.83 |
% 266.56/207.83 | Simplifying 842 yields:
% 266.56/207.83 | (490) e4 = e0
% 266.56/207.83 |
% 266.56/207.83 | Equations (490) can reduce 287 to:
% 266.56/207.83 | (366) $false
% 266.56/207.83 |
% 266.56/207.83 |-The branch is then unsatisfiable
% 266.56/207.83 |-Branch two:
% 266.56/207.83 | (398) ~ (all_0_21_21 = e0)
% 266.56/207.83 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.56/207.83 |
% 266.56/207.83 +-Applying beta-rule and splitting (882), into two cases.
% 266.56/207.83 |-Branch one:
% 266.56/207.83 | (883) all_0_26_26 = e0
% 266.56/207.83 |
% 266.56/207.83 | Equations (883) can reduce 1058 to:
% 266.56/207.83 | (366) $false
% 266.56/207.83 |
% 266.56/207.83 |-The branch is then unsatisfiable
% 266.56/207.83 |-Branch two:
% 266.56/207.83 | (1058) ~ (all_0_26_26 = e0)
% 266.56/207.83 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 266.56/207.83 |
% 266.56/207.83 +-Applying beta-rule and splitting (1059), into two cases.
% 266.56/207.83 |-Branch one:
% 266.56/207.83 | (1060) all_0_31_31 = e0
% 266.56/207.83 |
% 266.56/207.83 | From (1060) and (20865) follows:
% 266.56/207.83 | (12564) op(e0, e1) = e3
% 266.56/207.83 |
% 266.56/207.83 +-Applying beta-rule and splitting (20890), into two cases.
% 266.56/207.83 |-Branch one:
% 266.56/207.83 | (12565) ~ (op(e0, e1) = e3)
% 266.56/207.83 |
% 266.56/207.83 | Using (12564) and (12565) yields:
% 266.56/207.83 | (821) $false
% 266.56/207.83 |
% 266.56/207.83 |-The branch is then unsatisfiable
% 266.56/207.83 |-Branch two:
% 266.56/207.83 | (12564) op(e0, e1) = e3
% 266.56/207.83 | (691) e4 = e3
% 266.56/207.83 |
% 266.56/207.83 | Equations (691) can reduce 277 to:
% 266.56/207.83 | (366) $false
% 266.56/207.83 |
% 266.56/207.83 |-The branch is then unsatisfiable
% 266.56/207.83 |-Branch two:
% 266.56/207.83 | (1064) ~ (all_0_31_31 = e0)
% 266.56/207.83 | (1065) all_0_36_36 = e0
% 266.56/207.83 |
% 266.56/207.83 | Equations (1065) can reduce 386 to:
% 266.56/207.83 | (366) $false
% 266.56/207.83 |
% 266.56/207.83 |-The branch is then unsatisfiable
% 266.56/207.83 |-Branch two:
% 266.56/207.83 | (20912) ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.56/207.83 |
% 266.56/207.83 | Applying alpha-rule on (20912) yields:
% 266.56/207.84 | (20913) ~ (all_0_7_7 = e4)
% 266.56/207.84 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.56/207.84 |
% 266.56/207.84 | From (896)(896) and (19927) follows:
% 266.56/207.84 | (20915) op(e3, e3) = all_0_7_7
% 266.56/207.84 |
% 266.56/207.84 | Instantiating formula (97) with e3, e3, all_0_7_7, e4 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e4, yields:
% 266.56/207.84 | (20916) all_0_7_7 = e4
% 266.56/207.84 |
% 266.56/207.84 | Equations (20916) can reduce 20913 to:
% 266.56/207.84 | (366) $false
% 266.56/207.84 |
% 266.56/207.84 |-The branch is then unsatisfiable
% 266.56/207.84 |-Branch two:
% 266.56/207.84 | (1035) ~ (all_0_28_28 = e3)
% 266.56/207.84 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.56/207.84 |
% 266.56/207.84 +-Applying beta-rule and splitting (1036), into two cases.
% 266.56/207.84 |-Branch one:
% 266.56/207.84 | (1037) all_0_28_28 = e2
% 266.56/207.84 |
% 266.56/207.84 | Equations (1037) can reduce 649 to:
% 266.56/207.84 | (366) $false
% 266.56/207.84 |
% 266.56/207.84 |-The branch is then unsatisfiable
% 266.56/207.84 |-Branch two:
% 266.56/207.84 | (649) ~ (all_0_28_28 = e2)
% 266.56/207.84 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 266.56/207.84 |
% 266.56/207.84 +-Applying beta-rule and splitting (1040), into two cases.
% 266.56/207.84 |-Branch one:
% 266.56/207.84 | (1041) all_0_28_28 = e1
% 266.56/207.84 |
% 266.56/207.84 | Equations (1041) can reduce 421 to:
% 266.56/207.84 | (366) $false
% 266.56/207.84 |
% 266.56/207.84 |-The branch is then unsatisfiable
% 266.56/207.84 |-Branch two:
% 266.56/207.84 | (421) ~ (all_0_28_28 = e1)
% 266.56/207.84 | (1044) all_0_28_28 = e0
% 266.56/207.84 |
% 266.56/207.84 | Equations (1044) can reduce 886 to:
% 266.56/207.84 | (366) $false
% 266.56/207.84 |
% 266.56/207.84 |-The branch is then unsatisfiable
% 266.56/207.84 |-Branch two:
% 266.56/207.84 | (420) ~ (all_0_23_23 = e1)
% 266.59/207.84 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.59/207.84 |
% 266.59/207.84 +-Applying beta-rule and splitting (17548), into two cases.
% 266.59/207.84 |-Branch one:
% 266.59/207.84 | (1041) all_0_28_28 = e1
% 266.59/207.84 |
% 266.59/207.84 | Equations (1041) can reduce 421 to:
% 266.59/207.84 | (366) $false
% 266.59/207.84 |
% 266.59/207.84 |-The branch is then unsatisfiable
% 266.59/207.84 |-Branch two:
% 266.59/207.84 | (421) ~ (all_0_28_28 = e1)
% 266.59/207.84 | (17553) all_0_33_33 = e1 | all_0_38_38 = e1
% 266.59/207.84 |
% 266.59/207.84 +-Applying beta-rule and splitting (17553), into two cases.
% 266.59/207.84 |-Branch one:
% 266.59/207.84 | (418) all_0_33_33 = e1
% 266.59/207.84 |
% 266.59/207.84 | Combining equations (418,414) yields a new equation:
% 266.59/207.84 | (718) e2 = e1
% 266.59/207.84 |
% 266.59/207.84 | Equations (718) can reduce 329 to:
% 266.59/207.84 | (366) $false
% 266.59/207.84 |
% 266.59/207.84 |-The branch is then unsatisfiable
% 266.59/207.84 |-Branch two:
% 266.59/207.84 | (507) ~ (all_0_33_33 = e1)
% 266.59/207.84 | (1211) all_0_38_38 = e1
% 266.59/207.84 |
% 266.59/207.84 | Combining equations (1211,1165) yields a new equation:
% 266.59/207.84 | (480) e4 = e1
% 266.59/207.84 |
% 266.59/207.84 | Equations (480) can reduce 65 to:
% 266.59/207.84 | (366) $false
% 266.59/207.84 |
% 266.59/207.84 |-The branch is then unsatisfiable
% 266.59/207.84 |-Branch two:
% 266.59/207.84 | (1143) ~ (all_0_38_38 = e4)
% 266.59/207.84 | (365) all_0_39_39 = e4
% 266.59/207.84 |
% 266.59/207.84 | Combining equations (365,380) yields a new equation:
% 266.59/207.84 | (842) e4 = e0
% 266.59/207.84 |
% 266.59/207.84 | Simplifying 842 yields:
% 266.59/207.84 | (490) e4 = e0
% 266.59/207.84 |
% 266.59/207.84 | Equations (490) can reduce 287 to:
% 266.59/207.84 | (366) $false
% 266.59/207.84 |
% 266.59/207.84 |-The branch is then unsatisfiable
% 266.59/207.84 |-Branch two:
% 266.59/207.84 | (20947) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.59/207.84 |
% 266.59/207.84 | Applying alpha-rule on (20947) yields:
% 266.59/207.85 | (18221) all_0_8_8 = all_0_28_28
% 266.59/207.85 | (20949) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.59/207.85 |
% 266.59/207.85 | Instantiating formula (97) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, yields:
% 266.59/207.85 | (19152) e4 = e2 | ~ (op(e4, e2) = e2)
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (165), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (1161) all_0_35_35 = e4
% 266.59/207.85 |
% 266.59/207.85 | Equations (1161) can reduce 96 to:
% 266.59/207.85 | (509) ~ (all_0_30_30 = e4)
% 266.59/207.85 |
% 266.59/207.85 | Equations (1161) can reduce 173 to:
% 266.59/207.85 | (1142) ~ (all_0_38_38 = e4)
% 266.59/207.85 |
% 266.59/207.85 | Simplifying 1142 yields:
% 266.59/207.85 | (1143) ~ (all_0_38_38 = e4)
% 266.59/207.85 |
% 266.59/207.85 | Equations (1161) can reduce 385 to:
% 266.59/207.85 | (287) ~ (e4 = e0)
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (36), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (887) all_0_18_18 = e4
% 266.59/207.85 |
% 266.59/207.85 | Combining equations (1153,887) yields a new equation:
% 266.59/207.85 | (490) e4 = e0
% 266.59/207.85 |
% 266.59/207.85 | Equations (490) can reduce 287 to:
% 266.59/207.85 | (366) $false
% 266.59/207.85 |
% 266.59/207.85 |-The branch is then unsatisfiable
% 266.59/207.85 |-Branch two:
% 266.59/207.85 | (1046) ~ (all_0_18_18 = e4)
% 266.59/207.85 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (327), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (768) all_0_30_30 = e4
% 266.59/207.85 |
% 266.59/207.85 | Equations (768) can reduce 509 to:
% 266.59/207.85 | (366) $false
% 266.59/207.85 |
% 266.59/207.85 |-The branch is then unsatisfiable
% 266.59/207.85 |-Branch two:
% 266.59/207.85 | (509) ~ (all_0_30_30 = e4)
% 266.59/207.85 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (1051), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (1515) all_0_23_23 = e4
% 266.59/207.85 |
% 266.59/207.85 | Equations (1515) can reduce 578 to:
% 266.59/207.85 | (366) $false
% 266.59/207.85 |
% 266.59/207.85 |-The branch is then unsatisfiable
% 266.59/207.85 |-Branch two:
% 266.59/207.85 | (578) ~ (all_0_23_23 = e4)
% 266.59/207.85 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (1437), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (1446) all_0_31_31 = e4
% 266.59/207.85 |
% 266.59/207.85 | Equations (1446) can reduce 584 to:
% 266.59/207.85 | (366) $false
% 266.59/207.85 |
% 266.59/207.85 |-The branch is then unsatisfiable
% 266.59/207.85 |-Branch two:
% 266.59/207.85 | (584) ~ (all_0_31_31 = e4)
% 266.59/207.85 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (1518), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (892) all_0_28_28 = e4
% 266.59/207.85 |
% 266.59/207.85 | Combining equations (892,18221) yields a new equation:
% 266.59/207.85 | (18227) all_0_8_8 = e4
% 266.59/207.85 |
% 266.59/207.85 | Equations (892) can reduce 193 to:
% 266.59/207.85 | (501) ~ (all_0_25_25 = e4)
% 266.59/207.85 |
% 266.59/207.85 | Equations (892) can reduce 649 to:
% 266.59/207.85 | (19) ~ (e4 = e2)
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (1449), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (1229) all_0_32_32 = e4
% 266.59/207.85 |
% 266.59/207.85 | Equations (1229) can reduce 727 to:
% 266.59/207.85 | (366) $false
% 266.59/207.85 |
% 266.59/207.85 |-The branch is then unsatisfiable
% 266.59/207.85 |-Branch two:
% 266.59/207.85 | (727) ~ (all_0_32_32 = e4)
% 266.59/207.85 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (15017), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 266.59/207.85 |
% 266.59/207.85 | Applying alpha-rule on (18220) yields:
% 266.59/207.85 | (18221) all_0_8_8 = all_0_28_28
% 266.59/207.85 | (890) ~ (all_0_28_28 = e4)
% 266.59/207.85 |
% 266.59/207.85 | Combining equations (18221,18227) yields a new equation:
% 266.59/207.85 | (18238) all_0_28_28 = e4
% 266.59/207.85 |
% 266.59/207.85 | Simplifying 18238 yields:
% 266.59/207.85 | (892) all_0_28_28 = e4
% 266.59/207.85 |
% 266.59/207.85 | Equations (892) can reduce 890 to:
% 266.59/207.85 | (366) $false
% 266.59/207.85 |
% 266.59/207.85 |-The branch is then unsatisfiable
% 266.59/207.85 |-Branch two:
% 266.59/207.85 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.59/207.85 |
% 266.59/207.85 | Applying alpha-rule on (18241) yields:
% 266.59/207.85 | (18221) all_0_8_8 = all_0_28_28
% 266.59/207.85 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.59/207.85 |
% 266.59/207.85 | Combining equations (18221,18227) yields a new equation:
% 266.59/207.85 | (18238) all_0_28_28 = e4
% 266.59/207.85 |
% 266.59/207.85 | Simplifying 18238 yields:
% 266.59/207.85 | (892) all_0_28_28 = e4
% 266.59/207.85 |
% 266.59/207.85 +-Applying beta-rule and splitting (1476), into two cases.
% 266.59/207.85 |-Branch one:
% 266.59/207.85 | (406) all_0_33_33 = e4
% 266.59/207.85 |
% 266.59/207.85 | Combining equations (406,414) yields a new equation:
% 266.59/207.85 | (1111) e4 = e2
% 266.59/207.85 |
% 266.59/207.85 | Simplifying 1111 yields:
% 266.59/207.85 | (539) e4 = e2
% 266.59/207.85 |
% 266.59/207.85 | Equations (539) can reduce 19 to:
% 266.59/207.85 | (366) $false
% 266.59/207.85 |
% 266.59/207.85 |-The branch is then unsatisfiable
% 266.59/207.85 |-Branch two:
% 266.59/207.85 | (405) ~ (all_0_33_33 = e4)
% 266.59/207.85 | (723) all_0_34_34 = e4
% 266.59/207.85 |
% 266.59/207.85 | Equations (723) can reduce 384 to:
% 266.59/207.85 | (287) ~ (e4 = e0)
% 266.59/207.85 |
% 266.59/207.86 +-Applying beta-rule and splitting (18243), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (20757) ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6
% 266.59/207.86 |
% 266.59/207.86 | Applying alpha-rule on (20757) yields:
% 266.59/207.86 | (20758) ~ (all_0_6_6 = e0)
% 266.59/207.86 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 266.59/207.86 |
% 266.59/207.86 | From (892) and (19549) follows:
% 266.59/207.86 | (20760) op(e2, e4) = all_0_6_6
% 266.59/207.86 |
% 266.59/207.86 | Instantiating formula (97) with e2, e4, all_0_6_6, all_0_25_25 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = all_0_25_25, yields:
% 266.59/207.86 | (20761) all_0_6_6 = all_0_25_25
% 266.59/207.86 |
% 266.59/207.86 | Equations (20761) can reduce 20758 to:
% 266.59/207.86 | (1925) ~ (all_0_25_25 = e0)
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (241), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (1921) all_0_25_25 = e0
% 266.59/207.86 |
% 266.59/207.86 | Equations (1921) can reduce 1925 to:
% 266.59/207.86 | (366) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (1925) ~ (all_0_25_25 = e0)
% 266.59/207.86 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (1926), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (883) all_0_26_26 = e0
% 266.59/207.86 |
% 266.59/207.86 | Equations (883) can reduce 128 to:
% 266.59/207.86 | (1925) ~ (all_0_25_25 = e0)
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (245), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (1158) all_0_25_25 = e4
% 266.59/207.86 |
% 266.59/207.86 | Equations (1158) can reduce 501 to:
% 266.59/207.86 | (366) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (501) ~ (all_0_25_25 = e4)
% 266.59/207.86 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (168), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (2438) all_0_25_25 = e3
% 266.59/207.86 |
% 266.59/207.86 | Equations (2438) can reduce 566 to:
% 266.59/207.86 | (366) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (566) ~ (all_0_25_25 = e3)
% 266.59/207.86 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (3136), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (2438) all_0_25_25 = e3
% 266.59/207.86 |
% 266.59/207.86 | Equations (2438) can reduce 566 to:
% 266.59/207.86 | (366) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (566) ~ (all_0_25_25 = e3)
% 266.59/207.86 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (3158), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (3159) all_0_25_25 = e2
% 266.59/207.86 |
% 266.59/207.86 | Equations (3159) can reduce 501 to:
% 266.59/207.86 | (444) ~ (e4 = e2)
% 266.59/207.86 |
% 266.59/207.86 | Simplifying 444 yields:
% 266.59/207.86 | (19) ~ (e4 = e2)
% 266.59/207.86 |
% 266.59/207.86 | From (3159) and (1273) follows:
% 266.59/207.86 | (18457) op(e4, e2) = e2
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (19152), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (19153) ~ (op(e4, e2) = e2)
% 266.59/207.86 |
% 266.59/207.86 | Using (18457) and (19153) yields:
% 266.59/207.86 | (821) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (18457) op(e4, e2) = e2
% 266.59/207.86 | (539) e4 = e2
% 266.59/207.86 |
% 266.59/207.86 | Equations (539) can reduce 19 to:
% 266.59/207.86 | (366) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (646) ~ (all_0_25_25 = e2)
% 266.59/207.86 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (3162), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (950) all_0_25_25 = e1
% 266.59/207.86 |
% 266.59/207.86 | Equations (950) can reduce 946 to:
% 266.59/207.86 | (366) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (946) ~ (all_0_25_25 = e1)
% 266.59/207.86 | (1921) all_0_25_25 = e0
% 266.59/207.86 |
% 266.59/207.86 | Equations (1921) can reduce 1925 to:
% 266.59/207.86 | (366) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (1058) ~ (all_0_26_26 = e0)
% 266.59/207.86 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (876), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (529) all_0_21_21 = e0
% 266.59/207.86 |
% 266.59/207.86 | Combining equations (449,529) yields a new equation:
% 266.59/207.86 | (842) e4 = e0
% 266.59/207.86 |
% 266.59/207.86 | Simplifying 842 yields:
% 266.59/207.86 | (490) e4 = e0
% 266.59/207.86 |
% 266.59/207.86 | Equations (490) can reduce 287 to:
% 266.59/207.86 | (366) $false
% 266.59/207.86 |
% 266.59/207.86 |-The branch is then unsatisfiable
% 266.59/207.86 |-Branch two:
% 266.59/207.86 | (398) ~ (all_0_21_21 = e0)
% 266.59/207.86 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.59/207.86 |
% 266.59/207.86 | Equations (449) can reduce 398 to:
% 266.59/207.86 | (287) ~ (e4 = e0)
% 266.59/207.86 |
% 266.59/207.86 +-Applying beta-rule and splitting (2527), into two cases.
% 266.59/207.86 |-Branch one:
% 266.59/207.86 | (546) all_0_27_27 = e0
% 266.59/207.86 |
% 266.59/207.86 | Combining equations (546,543) yields a new equation:
% 266.59/207.86 | (961) e1 = e0
% 266.59/207.86 |
% 266.59/207.87 | Equations (961) can reduce 37 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (434) ~ (all_0_27_27 = e0)
% 266.59/207.87 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (2533), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (1044) all_0_28_28 = e0
% 266.59/207.87 |
% 266.59/207.87 | Combining equations (892,1044) yields a new equation:
% 266.59/207.87 | (842) e4 = e0
% 266.59/207.87 |
% 266.59/207.87 | Simplifying 842 yields:
% 266.59/207.87 | (490) e4 = e0
% 266.59/207.87 |
% 266.59/207.87 | Equations (490) can reduce 287 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (886) ~ (all_0_28_28 = e0)
% 266.59/207.87 | (2537) all_0_29_29 = e0
% 266.59/207.87 |
% 266.59/207.87 | Equations (2537) can reduce 383 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (20828) ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.59/207.87 |
% 266.59/207.87 | Applying alpha-rule on (20828) yields:
% 266.59/207.87 | (20829) ~ (all_0_7_7 = e3)
% 266.59/207.87 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.59/207.87 |
% 266.59/207.87 | From (892)(892) and (19927) follows:
% 266.59/207.87 | (20831) op(e4, e4) = all_0_7_7
% 266.59/207.87 |
% 266.59/207.87 | Instantiating formula (97) with e4, e4, all_0_7_7, e3 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e3, yields:
% 266.59/207.87 | (20832) all_0_7_7 = e3
% 266.59/207.87 |
% 266.59/207.87 | Equations (20832) can reduce 20829 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (890) ~ (all_0_28_28 = e4)
% 266.59/207.87 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (1522), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (406) all_0_33_33 = e4
% 266.59/207.87 |
% 266.59/207.87 | Combining equations (406,414) yields a new equation:
% 266.59/207.87 | (1111) e4 = e2
% 266.59/207.87 |
% 266.59/207.87 | Simplifying 1111 yields:
% 266.59/207.87 | (539) e4 = e2
% 266.59/207.87 |
% 266.59/207.87 | Equations (539) can reduce 19 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (405) ~ (all_0_33_33 = e4)
% 266.59/207.87 | (1165) all_0_38_38 = e4
% 266.59/207.87 |
% 266.59/207.87 | Equations (1165) can reduce 1143 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (514) ~ (all_0_35_35 = e4)
% 266.59/207.87 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (1164), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (2611) all_0_36_36 = e4
% 266.59/207.87 |
% 266.59/207.87 | Equations (2611) can reduce 586 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (586) ~ (all_0_36_36 = e4)
% 266.59/207.87 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (2633), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (1232) all_0_37_37 = e4
% 266.59/207.87 |
% 266.59/207.87 | Equations (1232) can reduce 2658 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (2658) ~ (all_0_37_37 = e4)
% 266.59/207.87 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (2659), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (1165) all_0_38_38 = e4
% 266.59/207.87 |
% 266.59/207.87 | From (1165) and (181) follows:
% 266.59/207.87 | (3335) op(all_0_34_34, e4) = e0
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (259), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (1278) all_0_18_18 = e1
% 266.59/207.87 |
% 266.59/207.87 | Combining equations (1153,1278) yields a new equation:
% 266.59/207.87 | (961) e1 = e0
% 266.59/207.87 |
% 266.59/207.87 | Equations (961) can reduce 37 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (419) ~ (all_0_18_18 = e1)
% 266.59/207.87 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (8300), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (3952) all_0_23_23 = e1
% 266.59/207.87 |
% 266.59/207.87 | From (3952) and (25) follows:
% 266.59/207.87 | (21093) op(e1, all_0_31_31) = e1
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (269), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (1134) all_0_18_18 = e3
% 266.59/207.87 |
% 266.59/207.87 | Combining equations (1153,1134) yields a new equation:
% 266.59/207.87 | (980) e3 = e0
% 266.59/207.87 |
% 266.59/207.87 | Equations (980) can reduce 88 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (560) ~ (all_0_18_18 = e3)
% 266.59/207.87 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (1137), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (978) all_0_23_23 = e3
% 266.59/207.87 |
% 266.59/207.87 | Combining equations (3952,978) yields a new equation:
% 266.59/207.87 | (706) e3 = e1
% 266.59/207.87 |
% 266.59/207.87 | Equations (706) can reduce 318 to:
% 266.59/207.87 | (366) $false
% 266.59/207.87 |
% 266.59/207.87 |-The branch is then unsatisfiable
% 266.59/207.87 |-Branch two:
% 266.59/207.87 | (982) ~ (all_0_23_23 = e3)
% 266.59/207.87 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 266.59/207.87 |
% 266.59/207.87 +-Applying beta-rule and splitting (3084), into two cases.
% 266.59/207.87 |-Branch one:
% 266.59/207.87 | (896) all_0_28_28 = e3
% 266.59/207.87 |
% 266.59/207.88 | Combining equations (896,18221) yields a new equation:
% 266.59/207.88 | (20871) all_0_8_8 = e3
% 266.59/207.88 |
% 266.59/207.88 | Equations (896) can reduce 73 to:
% 266.59/207.88 | (897) ~ (all_0_29_29 = e3)
% 266.59/207.88 |
% 266.59/207.88 | Simplifying 897 yields:
% 266.59/207.88 | (898) ~ (all_0_29_29 = e3)
% 266.59/207.88 |
% 266.59/207.88 | Equations (896) can reduce 886 to:
% 266.59/207.88 | (88) ~ (e3 = e0)
% 266.59/207.88 |
% 266.59/207.88 | From (896) and (315) follows:
% 266.59/207.88 | (13291) op(e3, all_0_32_32) = e1
% 266.59/207.88 |
% 266.59/207.88 +-Applying beta-rule and splitting (15009), into two cases.
% 266.59/207.88 |-Branch one:
% 266.59/207.88 | (18710) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)
% 266.59/207.88 |
% 266.59/207.88 | Applying alpha-rule on (18710) yields:
% 266.59/207.88 | (18221) all_0_8_8 = all_0_28_28
% 266.59/207.88 | (1035) ~ (all_0_28_28 = e3)
% 266.59/207.88 |
% 266.59/207.88 | Combining equations (18221,20871) yields a new equation:
% 266.59/207.88 | (20877) all_0_28_28 = e3
% 266.59/207.88 |
% 266.59/207.88 | Simplifying 20877 yields:
% 266.59/207.88 | (896) all_0_28_28 = e3
% 266.59/207.88 |
% 266.59/207.88 | Equations (896) can reduce 1035 to:
% 266.59/207.88 | (366) $false
% 266.59/207.88 |
% 266.59/207.88 |-The branch is then unsatisfiable
% 266.59/207.88 |-Branch two:
% 266.59/207.88 | (18816) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.59/207.88 |
% 266.59/207.88 | Applying alpha-rule on (18816) yields:
% 266.59/207.88 | (18221) all_0_8_8 = all_0_28_28
% 266.59/207.88 | (18818) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.59/207.88 |
% 266.59/207.88 | Combining equations (18221,20871) yields a new equation:
% 266.59/207.88 | (20877) all_0_28_28 = e3
% 266.59/207.88 |
% 266.59/207.88 | Simplifying 20877 yields:
% 266.59/207.88 | (896) all_0_28_28 = e3
% 266.59/207.88 |
% 266.59/207.88 +-Applying beta-rule and splitting (18818), into two cases.
% 266.59/207.88 |-Branch one:
% 266.59/207.88 | (20757) ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6
% 266.59/207.88 |
% 266.59/207.88 | Applying alpha-rule on (20757) yields:
% 266.59/207.88 | (20758) ~ (all_0_6_6 = e0)
% 266.59/207.88 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 266.59/207.88 |
% 266.59/207.89 +-Applying beta-rule and splitting (20949), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (19547) ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6
% 266.59/207.89 |
% 266.59/207.89 | Applying alpha-rule on (19547) yields:
% 266.59/207.89 | (19548) ~ (all_0_6_6 = e3)
% 266.59/207.89 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 266.59/207.89 |
% 266.59/207.89 | From (896) and (19549) follows:
% 266.59/207.89 | (20888) op(e2, e3) = all_0_6_6
% 266.59/207.89 |
% 266.59/207.89 | Instantiating formula (97) with e1, e4, e0, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 266.59/207.89 | (4342) all_0_30_30 = e0 | ~ (op(e1, e4) = e0)
% 266.59/207.89 |
% 266.59/207.89 | Instantiating formula (97) with e3, e3, e1, e4 and discharging atoms op(e3, e3) = e4, yields:
% 266.59/207.89 | (21129) e4 = e1 | ~ (op(e3, e3) = e1)
% 266.59/207.89 |
% 266.59/207.89 | Instantiating formula (97) with e2, e3, all_0_6_6, all_0_26_26 and discharging atoms op(e2, e3) = all_0_6_6, op(e2, e3) = all_0_26_26, yields:
% 266.59/207.89 | (20889) all_0_6_6 = all_0_26_26
% 266.59/207.89 |
% 266.59/207.89 | Instantiating formula (97) with e1, e0, e1, all_0_34_34 and discharging atoms op(e1, e0) = all_0_34_34, yields:
% 266.59/207.89 | (8029) all_0_34_34 = e1 | ~ (op(e1, e0) = e1)
% 266.59/207.89 |
% 266.59/207.89 | Equations (20889) can reduce 19548 to:
% 266.59/207.89 | (504) ~ (all_0_26_26 = e3)
% 266.59/207.89 |
% 266.59/207.89 | Equations (20889) can reduce 20758 to:
% 266.59/207.89 | (1058) ~ (all_0_26_26 = e0)
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (182), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (1237) all_0_26_26 = e4
% 266.59/207.89 |
% 266.59/207.89 | Equations (1237) can reduce 582 to:
% 266.59/207.89 | (366) $false
% 266.59/207.89 |
% 266.59/207.89 |-The branch is then unsatisfiable
% 266.59/207.89 |-Branch two:
% 266.59/207.89 | (582) ~ (all_0_26_26 = e4)
% 266.59/207.89 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (5353), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (2443) all_0_26_26 = e3
% 266.59/207.89 |
% 266.59/207.89 | Equations (2443) can reduce 504 to:
% 266.59/207.89 | (366) $false
% 266.59/207.89 |
% 266.59/207.89 |-The branch is then unsatisfiable
% 266.59/207.89 |-Branch two:
% 266.59/207.89 | (504) ~ (all_0_26_26 = e3)
% 266.59/207.89 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (5357), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (2380) all_0_26_26 = e2
% 266.59/207.89 |
% 266.59/207.89 | Equations (2380) can reduce 139 to:
% 266.59/207.89 | (664) ~ (all_0_16_16 = e2)
% 266.59/207.89 |
% 266.59/207.89 | Equations (2380) can reduce 38 to:
% 266.59/207.89 | (650) ~ (all_0_29_29 = e2)
% 266.59/207.89 |
% 266.59/207.89 | Simplifying 650 yields:
% 266.59/207.89 | (651) ~ (all_0_29_29 = e2)
% 266.59/207.89 |
% 266.59/207.89 | Equations (2380) can reduce 504 to:
% 266.59/207.89 | (658) ~ (e3 = e2)
% 266.59/207.89 |
% 266.59/207.89 | Simplifying 658 yields:
% 266.59/207.89 | (56) ~ (e3 = e2)
% 266.59/207.89 |
% 266.59/207.89 | Equations (2380) can reduce 1058 to:
% 266.59/207.89 | (347) ~ (e2 = e0)
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (357), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (1250) all_0_29_29 = e4
% 266.59/207.89 |
% 266.59/207.89 | Equations (1250) can reduce 229 to:
% 266.59/207.89 | (714) ~ (all_0_19_19 = e4)
% 266.59/207.89 |
% 266.59/207.89 | Equations (1250) can reduce 62 to:
% 266.59/207.89 | (501) ~ (all_0_25_25 = e4)
% 266.59/207.89 |
% 266.59/207.89 | Equations (1250) can reduce 41 to:
% 266.59/207.89 | (2206) ~ (all_0_34_34 = e4)
% 266.59/207.89 |
% 266.59/207.89 | Simplifying 2206 yields:
% 266.59/207.89 | (1395) ~ (all_0_34_34 = e4)
% 266.59/207.89 |
% 266.59/207.89 | Equations (1250) can reduce 651 to:
% 266.59/207.89 | (19) ~ (e4 = e2)
% 266.59/207.89 |
% 266.59/207.89 | Equations (1250) can reduce 952 to:
% 266.59/207.89 | (65) ~ (e4 = e1)
% 266.59/207.89 |
% 266.59/207.89 | Equations (1250) can reduce 383 to:
% 266.59/207.89 | (287) ~ (e4 = e0)
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (241), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (1921) all_0_25_25 = e0
% 266.59/207.89 |
% 266.59/207.89 | Equations (1921) can reduce 95 to:
% 266.59/207.89 | (839) ~ (all_0_20_20 = e0)
% 266.59/207.89 |
% 266.59/207.89 | Equations (1921) can reduce 501 to:
% 266.59/207.89 | (389) ~ (e4 = e0)
% 266.59/207.89 |
% 266.59/207.89 | Simplifying 389 yields:
% 266.59/207.89 | (287) ~ (e4 = e0)
% 266.59/207.89 |
% 266.59/207.89 | Equations (1921) can reduce 946 to:
% 266.59/207.89 | (395) ~ (e1 = e0)
% 266.59/207.89 |
% 266.59/207.89 | Simplifying 395 yields:
% 266.59/207.89 | (37) ~ (e1 = e0)
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (135), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (835) all_0_20_20 = e0
% 266.59/207.89 |
% 266.59/207.89 | Equations (835) can reduce 839 to:
% 266.59/207.89 | (366) $false
% 266.59/207.89 |
% 266.59/207.89 |-The branch is then unsatisfiable
% 266.59/207.89 |-Branch two:
% 266.59/207.89 | (839) ~ (all_0_20_20 = e0)
% 266.59/207.89 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (840), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (529) all_0_21_21 = e0
% 266.59/207.89 |
% 266.59/207.89 | Combining equations (449,529) yields a new equation:
% 266.59/207.89 | (842) e4 = e0
% 266.59/207.89 |
% 266.59/207.89 | Simplifying 842 yields:
% 266.59/207.89 | (490) e4 = e0
% 266.59/207.89 |
% 266.59/207.89 | Equations (490) can reduce 287 to:
% 266.59/207.89 | (366) $false
% 266.59/207.89 |
% 266.59/207.89 |-The branch is then unsatisfiable
% 266.59/207.89 |-Branch two:
% 266.59/207.89 | (398) ~ (all_0_21_21 = e0)
% 266.59/207.89 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (846), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (847) all_0_22_22 = e0
% 266.59/207.89 |
% 266.59/207.89 | Equations (847) can reduce 63 to:
% 266.59/207.89 | (2961) ~ (all_0_32_32 = e0)
% 266.59/207.89 |
% 266.59/207.89 | Simplifying 2961 yields:
% 266.59/207.89 | (1946) ~ (all_0_32_32 = e0)
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (261), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (1229) all_0_32_32 = e4
% 266.59/207.89 |
% 266.59/207.89 | Equations (1229) can reduce 727 to:
% 266.59/207.89 | (366) $false
% 266.59/207.89 |
% 266.59/207.89 |-The branch is then unsatisfiable
% 266.59/207.89 |-Branch two:
% 266.59/207.89 | (727) ~ (all_0_32_32 = e4)
% 266.59/207.89 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.59/207.89 |
% 266.59/207.89 +-Applying beta-rule and splitting (1506), into two cases.
% 266.59/207.89 |-Branch one:
% 266.59/207.89 | (772) all_0_32_32 = e3
% 266.59/207.89 |
% 266.59/207.89 | From (772) and (13291) follows:
% 266.59/207.89 | (14948) op(e3, e3) = e1
% 266.59/207.89 |
% 266.59/207.90 +-Applying beta-rule and splitting (21129), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (17757) ~ (op(e3, e3) = e1)
% 266.59/207.90 |
% 266.59/207.90 | Using (14948) and (17757) yields:
% 266.59/207.90 | (821) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (14948) op(e3, e3) = e1
% 266.59/207.90 | (480) e4 = e1
% 266.59/207.90 |
% 266.59/207.90 | Equations (480) can reduce 65 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (1089) ~ (all_0_32_32 = e3)
% 266.59/207.90 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (1618), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (1101) all_0_32_32 = e2
% 266.59/207.90 |
% 266.59/207.90 | Equations (1101) can reduce 508 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (508) ~ (all_0_32_32 = e2)
% 266.59/207.90 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (1622), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (1587) all_0_32_32 = e1
% 266.59/207.90 |
% 266.59/207.90 | Equations (1587) can reduce 424 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (424) ~ (all_0_32_32 = e1)
% 266.59/207.90 | (1626) all_0_32_32 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (1626) can reduce 1946 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (826) ~ (all_0_22_22 = e0)
% 266.59/207.90 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (850), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (851) all_0_23_23 = e0
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (3952,851) yields a new equation:
% 266.59/207.90 | (960) e1 = e0
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 960 yields:
% 266.59/207.90 | (961) e1 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (961) can reduce 37 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (1068) ~ (all_0_23_23 = e0)
% 266.59/207.90 | (1069) all_0_24_24 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (1069) can reduce 382 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (1925) ~ (all_0_25_25 = e0)
% 266.59/207.90 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (114), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (472) all_0_15_15 = e2
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (468,472) yields a new equation:
% 266.59/207.90 | (3874) e3 = e2
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 3874 yields:
% 266.59/207.90 | (764) e3 = e2
% 266.59/207.90 |
% 266.59/207.90 | Equations (764) can reduce 56 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (447) ~ (all_0_15_15 = e2)
% 266.59/207.90 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (2791), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (697) all_0_16_16 = e2
% 266.59/207.90 |
% 266.59/207.90 | Equations (697) can reduce 664 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (664) ~ (all_0_16_16 = e2)
% 266.59/207.90 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (327), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (768) all_0_30_30 = e4
% 266.59/207.90 |
% 266.59/207.90 | Equations (768) can reduce 116 to:
% 266.59/207.90 | (496) ~ (all_0_20_20 = e4)
% 266.59/207.90 |
% 266.59/207.90 | Equations (768) can reduce 217 to:
% 266.59/207.90 | (583) ~ (all_0_31_31 = e4)
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 583 yields:
% 266.59/207.90 | (584) ~ (all_0_31_31 = e4)
% 266.59/207.90 |
% 266.59/207.90 | Equations (768) can reduce 740 to:
% 266.59/207.90 | (19) ~ (e4 = e2)
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (2933), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (1980) all_0_17_17 = e2
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (865,1980) yields a new equation:
% 266.59/207.90 | (1111) e4 = e2
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 1111 yields:
% 266.59/207.90 | (539) e4 = e2
% 266.59/207.90 |
% 266.59/207.90 | Equations (539) can reduce 19 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (459) ~ (all_0_17_17 = e2)
% 266.59/207.90 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (2937), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (1274) all_0_18_18 = e2
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (1274,1153) yields a new equation:
% 266.59/207.90 | (836) e2 = e0
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 836 yields:
% 266.59/207.90 | (551) e2 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (551) can reduce 347 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (666) ~ (all_0_18_18 = e2)
% 266.59/207.90 | (663) all_0_19_19 = e2
% 266.59/207.90 |
% 266.59/207.90 | Equations (663) can reduce 562 to:
% 266.59/207.90 | (658) ~ (e3 = e2)
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 658 yields:
% 266.59/207.90 | (56) ~ (e3 = e2)
% 266.59/207.90 |
% 266.59/207.90 | Equations (663) can reduce 381 to:
% 266.59/207.90 | (347) ~ (e2 = e0)
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (206), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (483) all_0_15_15 = e0
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (468,483) yields a new equation:
% 266.59/207.90 | (979) e3 = e0
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 979 yields:
% 266.59/207.90 | (980) e3 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (980) can reduce 88 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (463) ~ (all_0_15_15 = e0)
% 266.59/207.90 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (1926), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (883) all_0_26_26 = e0
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (2380,883) yields a new equation:
% 266.59/207.90 | (836) e2 = e0
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 836 yields:
% 266.59/207.90 | (551) e2 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (551) can reduce 347 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (1058) ~ (all_0_26_26 = e0)
% 266.59/207.90 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (2380) can reduce 1058 to:
% 266.59/207.90 | (347) ~ (e2 = e0)
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (1889), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (835) all_0_20_20 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (835) can reduce 496 to:
% 266.59/207.90 | (389) ~ (e4 = e0)
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 389 yields:
% 266.59/207.90 | (287) ~ (e4 = e0)
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (162), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (472) all_0_15_15 = e2
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (468,472) yields a new equation:
% 266.59/207.90 | (3874) e3 = e2
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 3874 yields:
% 266.59/207.90 | (764) e3 = e2
% 266.59/207.90 |
% 266.59/207.90 | Equations (764) can reduce 56 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (447) ~ (all_0_15_15 = e2)
% 266.59/207.90 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (2921), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (736) all_0_20_20 = e2
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (835,736) yields a new equation:
% 266.59/207.90 | (551) e2 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (551) can reduce 347 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (1114) ~ (all_0_20_20 = e2)
% 266.59/207.90 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.59/207.90 |
% 266.59/207.90 | Equations (835) can reduce 1114 to:
% 266.59/207.90 | (393) ~ (e2 = e0)
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 393 yields:
% 266.59/207.90 | (347) ~ (e2 = e0)
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (876), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (529) all_0_21_21 = e0
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (449,529) yields a new equation:
% 266.59/207.90 | (842) e4 = e0
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 842 yields:
% 266.59/207.90 | (490) e4 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (490) can reduce 287 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (398) ~ (all_0_21_21 = e0)
% 266.59/207.90 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (882), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (883) all_0_26_26 = e0
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (2380,883) yields a new equation:
% 266.59/207.90 | (836) e2 = e0
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 836 yields:
% 266.59/207.90 | (551) e2 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (551) can reduce 347 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (1058) ~ (all_0_26_26 = e0)
% 266.59/207.90 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (1059), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (1060) all_0_31_31 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (1060) can reduce 584 to:
% 266.59/207.90 | (389) ~ (e4 = e0)
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 389 yields:
% 266.59/207.90 | (287) ~ (e4 = e0)
% 266.59/207.90 |
% 266.59/207.90 | From (1060) and (21093) follows:
% 266.59/207.90 | (8239) op(e1, e0) = e1
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (8029), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (8270) ~ (op(e1, e0) = e1)
% 266.59/207.90 |
% 266.59/207.90 | Using (8239) and (8270) yields:
% 266.59/207.90 | (821) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (8239) op(e1, e0) = e1
% 266.59/207.90 | (954) all_0_34_34 = e1
% 266.59/207.90 |
% 266.59/207.90 | From (954) and (3335) follows:
% 266.59/207.90 | (4831) op(e1, e4) = e0
% 266.59/207.90 |
% 266.59/207.90 +-Applying beta-rule and splitting (4342), into two cases.
% 266.59/207.90 |-Branch one:
% 266.59/207.90 | (4891) ~ (op(e1, e4) = e0)
% 266.59/207.90 |
% 266.59/207.90 | Using (4831) and (4891) yields:
% 266.59/207.90 | (821) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (4831) op(e1, e4) = e0
% 266.59/207.90 | (790) all_0_30_30 = e0
% 266.59/207.90 |
% 266.59/207.90 | Combining equations (768,790) yields a new equation:
% 266.59/207.90 | (842) e4 = e0
% 266.59/207.90 |
% 266.59/207.90 | Simplifying 842 yields:
% 266.59/207.90 | (490) e4 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (490) can reduce 287 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.90 |-Branch two:
% 266.59/207.90 | (1064) ~ (all_0_31_31 = e0)
% 266.59/207.90 | (1065) all_0_36_36 = e0
% 266.59/207.90 |
% 266.59/207.90 | Equations (1065) can reduce 386 to:
% 266.59/207.90 | (366) $false
% 266.59/207.90 |
% 266.59/207.90 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (839) ~ (all_0_20_20 = e0)
% 266.59/207.91 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (1920), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (1921) all_0_25_25 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (1921) can reduce 1925 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (1925) ~ (all_0_25_25 = e0)
% 266.59/207.91 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (1938), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (790) all_0_30_30 = e0
% 266.59/207.91 |
% 266.59/207.91 | Combining equations (790,768) yields a new equation:
% 266.59/207.91 | (490) e4 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (490) can reduce 287 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (1878) ~ (all_0_30_30 = e0)
% 266.59/207.91 | (1203) all_0_35_35 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (1203) can reduce 385 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (509) ~ (all_0_30_30 = e4)
% 266.59/207.91 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (876), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (529) all_0_21_21 = e0
% 266.59/207.91 |
% 266.59/207.91 | Combining equations (449,529) yields a new equation:
% 266.59/207.91 | (842) e4 = e0
% 266.59/207.91 |
% 266.59/207.91 | Simplifying 842 yields:
% 266.59/207.91 | (490) e4 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (490) can reduce 287 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (398) ~ (all_0_21_21 = e0)
% 266.59/207.91 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (882), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (883) all_0_26_26 = e0
% 266.59/207.91 |
% 266.59/207.91 | Combining equations (2380,883) yields a new equation:
% 266.59/207.91 | (836) e2 = e0
% 266.59/207.91 |
% 266.59/207.91 | Simplifying 836 yields:
% 266.59/207.91 | (551) e2 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (551) can reduce 347 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (1058) ~ (all_0_26_26 = e0)
% 266.59/207.91 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (2380) can reduce 1058 to:
% 266.59/207.91 | (347) ~ (e2 = e0)
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (2933), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (1980) all_0_17_17 = e2
% 266.59/207.91 |
% 266.59/207.91 | Combining equations (865,1980) yields a new equation:
% 266.59/207.91 | (1111) e4 = e2
% 266.59/207.91 |
% 266.59/207.91 | Simplifying 1111 yields:
% 266.59/207.91 | (539) e4 = e2
% 266.59/207.91 |
% 266.59/207.91 | Equations (539) can reduce 19 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (459) ~ (all_0_17_17 = e2)
% 266.59/207.91 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (1437), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (1446) all_0_31_31 = e4
% 266.59/207.91 |
% 266.59/207.91 | Equations (1446) can reduce 584 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (584) ~ (all_0_31_31 = e4)
% 266.59/207.91 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (2937), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (1274) all_0_18_18 = e2
% 266.59/207.91 |
% 266.59/207.91 | Combining equations (1274,1153) yields a new equation:
% 266.59/207.91 | (836) e2 = e0
% 266.59/207.91 |
% 266.59/207.91 | Simplifying 836 yields:
% 266.59/207.91 | (551) e2 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (551) can reduce 347 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (666) ~ (all_0_18_18 = e2)
% 266.59/207.91 | (663) all_0_19_19 = e2
% 266.59/207.91 |
% 266.59/207.91 | Equations (663) can reduce 714 to:
% 266.59/207.91 | (444) ~ (e4 = e2)
% 266.59/207.91 |
% 266.59/207.91 | Simplifying 444 yields:
% 266.59/207.91 | (19) ~ (e4 = e2)
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (1449), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (1229) all_0_32_32 = e4
% 266.59/207.91 |
% 266.59/207.91 | Equations (1229) can reduce 727 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (727) ~ (all_0_32_32 = e4)
% 266.59/207.91 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (1476), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (406) all_0_33_33 = e4
% 266.59/207.91 |
% 266.59/207.91 | Combining equations (406,414) yields a new equation:
% 266.59/207.91 | (1111) e4 = e2
% 266.59/207.91 |
% 266.59/207.91 | Simplifying 1111 yields:
% 266.59/207.91 | (539) e4 = e2
% 266.59/207.91 |
% 266.59/207.91 | Equations (539) can reduce 19 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (405) ~ (all_0_33_33 = e4)
% 266.59/207.91 | (723) all_0_34_34 = e4
% 266.59/207.91 |
% 266.59/207.91 | Equations (723) can reduce 1395 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (724) ~ (all_0_29_29 = e4)
% 266.59/207.91 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (2812), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (1023) all_0_29_29 = e3
% 266.59/207.91 |
% 266.59/207.91 | Equations (1023) can reduce 898 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (898) ~ (all_0_29_29 = e3)
% 266.59/207.91 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (5409), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (4103) all_0_29_29 = e2
% 266.59/207.91 |
% 266.59/207.91 | Equations (4103) can reduce 651 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (651) ~ (all_0_29_29 = e2)
% 266.59/207.91 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (5413), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (945) all_0_29_29 = e1
% 266.59/207.91 |
% 266.59/207.91 | Equations (945) can reduce 952 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (952) ~ (all_0_29_29 = e1)
% 266.59/207.91 | (2537) all_0_29_29 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (2537) can reduce 383 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (647) ~ (all_0_26_26 = e2)
% 266.59/207.91 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 266.59/207.91 |
% 266.59/207.91 +-Applying beta-rule and splitting (5361), into two cases.
% 266.59/207.91 |-Branch one:
% 266.59/207.91 | (1005) all_0_26_26 = e1
% 266.59/207.91 |
% 266.59/207.91 | Equations (1005) can reduce 1008 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (1008) ~ (all_0_26_26 = e1)
% 266.59/207.91 | (883) all_0_26_26 = e0
% 266.59/207.91 |
% 266.59/207.91 | Equations (883) can reduce 1058 to:
% 266.59/207.91 | (366) $false
% 266.59/207.91 |
% 266.59/207.91 |-The branch is then unsatisfiable
% 266.59/207.91 |-Branch two:
% 266.59/207.91 | (20912) ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.59/207.91 |
% 266.59/207.91 | Applying alpha-rule on (20912) yields:
% 266.59/207.91 | (20913) ~ (all_0_7_7 = e4)
% 266.59/207.91 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.59/207.91 |
% 266.59/207.91 | From (896)(896) and (19927) follows:
% 266.59/207.91 | (20915) op(e3, e3) = all_0_7_7
% 266.59/207.91 |
% 266.59/207.91 | Instantiating formula (97) with e3, e3, all_0_7_7, e4 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e4, yields:
% 266.59/207.91 | (20916) all_0_7_7 = e4
% 266.59/207.91 |
% 266.59/207.92 | Equations (20916) can reduce 20913 to:
% 266.59/207.92 | (366) $false
% 266.59/207.92 |
% 266.59/207.92 |-The branch is then unsatisfiable
% 266.59/207.92 |-Branch two:
% 266.59/207.92 | (20912) ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.59/207.92 |
% 266.59/207.92 | Applying alpha-rule on (20912) yields:
% 266.59/207.92 | (20913) ~ (all_0_7_7 = e4)
% 266.59/207.92 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.59/207.92 |
% 266.59/207.92 | From (896)(896) and (19927) follows:
% 266.59/207.92 | (20915) op(e3, e3) = all_0_7_7
% 266.59/207.92 |
% 266.59/207.92 | Instantiating formula (97) with e3, e3, all_0_7_7, e4 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e4, yields:
% 266.59/207.92 | (20916) all_0_7_7 = e4
% 266.59/207.92 |
% 266.59/207.92 | Equations (20916) can reduce 20913 to:
% 266.59/207.92 | (366) $false
% 266.59/207.92 |
% 266.59/207.92 |-The branch is then unsatisfiable
% 266.59/207.92 |-Branch two:
% 266.59/207.92 | (1035) ~ (all_0_28_28 = e3)
% 266.59/207.92 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 266.59/207.92 |
% 266.59/207.92 +-Applying beta-rule and splitting (3089), into two cases.
% 266.59/207.92 |-Branch one:
% 266.59/207.92 | (410) all_0_33_33 = e3
% 266.59/207.92 |
% 266.59/207.92 | Combining equations (414,410) yields a new equation:
% 266.59/207.92 | (764) e3 = e2
% 266.59/207.92 |
% 266.59/207.92 | Equations (764) can reduce 56 to:
% 266.59/207.92 | (366) $false
% 266.59/207.92 |
% 266.59/207.92 |-The branch is then unsatisfiable
% 266.59/207.92 |-Branch two:
% 266.59/207.92 | (403) ~ (all_0_33_33 = e3)
% 266.68/207.92 | (1077) all_0_38_38 = e3
% 266.68/207.92 |
% 266.68/207.92 | Combining equations (1165,1077) yields a new equation:
% 266.68/207.92 | (690) e4 = e3
% 266.68/207.92 |
% 266.68/207.92 | Simplifying 690 yields:
% 266.68/207.92 | (691) e4 = e3
% 266.68/207.92 |
% 266.68/207.92 | Equations (691) can reduce 277 to:
% 266.68/207.92 | (366) $false
% 266.68/207.92 |
% 266.68/207.92 |-The branch is then unsatisfiable
% 266.68/207.92 |-Branch two:
% 266.68/207.92 | (420) ~ (all_0_23_23 = e1)
% 266.68/207.92 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.68/207.92 |
% 266.68/207.92 +-Applying beta-rule and splitting (17548), into two cases.
% 266.68/207.92 |-Branch one:
% 266.68/207.92 | (1041) all_0_28_28 = e1
% 266.68/207.92 |
% 266.68/207.92 | Equations (1041) can reduce 421 to:
% 266.68/207.92 | (366) $false
% 266.68/207.92 |
% 266.68/207.92 |-The branch is then unsatisfiable
% 266.68/207.92 |-Branch two:
% 266.68/207.92 | (421) ~ (all_0_28_28 = e1)
% 266.68/207.92 | (17553) all_0_33_33 = e1 | all_0_38_38 = e1
% 266.68/207.92 |
% 266.68/207.92 +-Applying beta-rule and splitting (17553), into two cases.
% 266.68/207.92 |-Branch one:
% 266.68/207.92 | (418) all_0_33_33 = e1
% 266.68/207.92 |
% 266.68/207.92 | Combining equations (418,414) yields a new equation:
% 266.68/207.92 | (718) e2 = e1
% 266.68/207.92 |
% 266.68/207.92 | Equations (718) can reduce 329 to:
% 266.68/207.92 | (366) $false
% 266.68/207.92 |
% 266.68/207.92 |-The branch is then unsatisfiable
% 266.68/207.92 |-Branch two:
% 266.68/207.92 | (507) ~ (all_0_33_33 = e1)
% 266.68/207.92 | (1211) all_0_38_38 = e1
% 266.68/207.92 |
% 266.68/207.92 | Combining equations (1211,1165) yields a new equation:
% 266.68/207.92 | (480) e4 = e1
% 266.68/207.92 |
% 266.68/207.92 | Equations (480) can reduce 65 to:
% 266.68/207.92 | (366) $false
% 266.68/207.92 |
% 266.68/207.92 |-The branch is then unsatisfiable
% 266.68/207.93 |-Branch two:
% 266.68/207.93 | (1143) ~ (all_0_38_38 = e4)
% 266.68/207.93 | (365) all_0_39_39 = e4
% 266.68/207.93 |
% 266.68/207.93 | Combining equations (365,380) yields a new equation:
% 266.68/207.93 | (842) e4 = e0
% 266.68/207.93 |
% 266.68/207.93 | Simplifying 842 yields:
% 266.68/207.93 | (490) e4 = e0
% 266.68/207.93 |
% 266.68/207.93 | Equations (490) can reduce 287 to:
% 266.68/207.93 | (366) $false
% 266.68/207.93 |
% 266.68/207.93 |-The branch is then unsatisfiable
% 266.68/207.93 |-Branch two:
% 266.68/207.93 | (1156) ~ (all_0_18_18 = e0)
% 266.68/207.93 | (2703) all_0_19_19 = e0
% 266.68/207.93 |
% 266.68/207.93 | Equations (2703) can reduce 381 to:
% 266.68/207.93 | (366) $false
% 266.68/207.93 |
% 266.68/207.93 |-The branch is then unsatisfiable
% 266.68/207.93 |-Branch two:
% 266.68/207.93 | (21420) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 266.68/207.93 |
% 266.68/207.93 | Applying alpha-rule on (21420) yields:
% 266.68/207.93 | (20681) all_0_5_5 = all_0_32_32
% 266.68/207.93 | (21422) ( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 266.68/207.93 |
% 266.68/207.93 +-Applying beta-rule and splitting (2584), into two cases.
% 266.68/207.93 |-Branch one:
% 266.68/207.93 | (873) all_0_16_16 = e0
% 266.68/207.93 |
% 266.68/207.93 | Equations (873) can reduce 824 to:
% 266.68/207.93 | (366) $false
% 266.68/207.93 |
% 266.68/207.93 |-The branch is then unsatisfiable
% 266.68/207.93 |-Branch two:
% 266.68/207.93 | (824) ~ (all_0_16_16 = e0)
% 266.68/207.93 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 266.68/207.93 |
% 266.68/207.93 +-Applying beta-rule and splitting (2692), into two cases.
% 266.68/207.93 |-Branch one:
% 266.68/207.93 | (823) all_0_17_17 = e0
% 266.68/207.93 |
% 266.68/207.93 | Combining equations (865,823) yields a new equation:
% 266.68/207.93 | (842) e4 = e0
% 266.68/207.93 |
% 266.68/207.93 | Simplifying 842 yields:
% 266.68/207.93 | (490) e4 = e0
% 266.68/207.93 |
% 266.68/207.93 | Equations (490) can reduce 287 to:
% 266.68/207.93 | (366) $false
% 266.68/207.93 |
% 266.68/207.93 |-The branch is then unsatisfiable
% 266.68/207.93 |-Branch two:
% 266.68/207.93 | (2422) ~ (all_0_17_17 = e0)
% 266.68/207.93 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 266.68/207.93 |
% 266.68/207.93 +-Applying beta-rule and splitting (2697), into two cases.
% 266.68/207.93 |-Branch one:
% 266.68/207.93 | (1153) all_0_18_18 = e0
% 266.68/207.93 |
% 266.68/207.93 | Equations (1153) can reduce 110 to:
% 266.68/207.93 | (7248) ~ (all_0_23_23 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Simplifying 7248 yields:
% 266.68/207.93 | (1068) ~ (all_0_23_23 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Equations (1153) can reduce 300 to:
% 266.68/207.93 | (885) ~ (all_0_28_28 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Simplifying 885 yields:
% 266.68/207.93 | (886) ~ (all_0_28_28 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Equations (1153) can reduce 142 to:
% 266.68/207.93 | (1285) ~ (all_0_38_38 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Simplifying 1285 yields:
% 266.68/207.93 | (388) ~ (all_0_38_38 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Equations (1153) can reduce 1046 to:
% 266.68/207.93 | (389) ~ (e4 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Simplifying 389 yields:
% 266.68/207.93 | (287) ~ (e4 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Equations (1153) can reduce 560 to:
% 266.68/207.93 | (391) ~ (e3 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Simplifying 391 yields:
% 266.68/207.93 | (88) ~ (e3 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Equations (1153) can reduce 666 to:
% 266.68/207.93 | (393) ~ (e2 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Simplifying 393 yields:
% 266.68/207.93 | (347) ~ (e2 = e0)
% 266.68/207.93 |
% 266.68/207.93 | From (1153) and (238) follows:
% 266.68/207.93 | (13340) op(e0, all_0_30_30) = e1
% 266.68/207.93 |
% 266.68/207.93 +-Applying beta-rule and splitting (14993), into two cases.
% 266.68/207.93 |-Branch one:
% 266.68/207.93 | (20704) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Applying alpha-rule on (20704) yields:
% 266.68/207.93 | (18221) all_0_8_8 = all_0_28_28
% 266.68/207.93 | (886) ~ (all_0_28_28 = e0)
% 266.68/207.93 |
% 266.68/207.93 | Instantiating formula (97) with e2, e4, e4, e2 yields:
% 266.68/207.93 | (21450) e4 = e2 | ~ (op(e2, e4) = e4) | ~ (op(e2, e4) = e2)
% 266.68/207.93 |
% 266.68/207.93 | Instantiating formula (97) with e0, e4, e4, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 266.68/207.93 | (19107) all_0_35_35 = e4 | ~ (op(e0, e4) = e4)
% 266.68/207.93 |
% 266.68/207.93 | Instantiating formula (97) with e4, e0, e2, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 266.68/207.93 | (21452) all_0_19_19 = e2 | ~ (op(e4, e0) = e2)
% 266.68/207.93 |
% 266.68/207.93 | Instantiating formula (97) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, yields:
% 266.68/207.94 | (19152) e4 = e2 | ~ (op(e4, e2) = e2)
% 266.68/207.94 |
% 266.68/207.94 | Instantiating formula (97) with e0, e1, e1, all_0_38_38 and discharging atoms op(e0, e1) = all_0_38_38, yields:
% 266.68/207.94 | (21454) all_0_38_38 = e1 | ~ (op(e0, e1) = e1)
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (259), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (1278) all_0_18_18 = e1
% 266.68/207.94 |
% 266.68/207.94 | Combining equations (1153,1278) yields a new equation:
% 266.68/207.94 | (961) e1 = e0
% 266.68/207.94 |
% 266.68/207.94 | Equations (961) can reduce 37 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (419) ~ (all_0_18_18 = e1)
% 266.68/207.94 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.68/207.94 |
% 266.68/207.94 | Equations (1153) can reduce 419 to:
% 266.68/207.94 | (395) ~ (e1 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 395 yields:
% 266.68/207.94 | (37) ~ (e1 = e0)
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (36), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (887) all_0_18_18 = e4
% 266.68/207.94 |
% 266.68/207.94 | Combining equations (1153,887) yields a new equation:
% 266.68/207.94 | (490) e4 = e0
% 266.68/207.94 |
% 266.68/207.94 | Equations (490) can reduce 287 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (1046) ~ (all_0_18_18 = e4)
% 266.68/207.94 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (1153) can reduce 1046 to:
% 266.68/207.94 | (389) ~ (e4 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 389 yields:
% 266.68/207.94 | (287) ~ (e4 = e0)
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (137), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (1515) all_0_23_23 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (1515) can reduce 578 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (578) ~ (all_0_23_23 = e4)
% 266.68/207.94 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (241), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (1921) all_0_25_25 = e0
% 266.68/207.94 |
% 266.68/207.94 | Equations (1921) can reduce 95 to:
% 266.68/207.94 | (839) ~ (all_0_20_20 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Equations (1921) can reduce 128 to:
% 266.68/207.94 | (2897) ~ (all_0_26_26 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 2897 yields:
% 266.68/207.94 | (1058) ~ (all_0_26_26 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Equations (1921) can reduce 193 to:
% 266.68/207.94 | (885) ~ (all_0_28_28 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 885 yields:
% 266.68/207.94 | (886) ~ (all_0_28_28 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Equations (1921) can reduce 62 to:
% 266.68/207.94 | (3455) ~ (all_0_29_29 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 3455 yields:
% 266.68/207.94 | (383) ~ (all_0_29_29 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Equations (1921) can reduce 946 to:
% 266.68/207.94 | (395) ~ (e1 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 395 yields:
% 266.68/207.94 | (37) ~ (e1 = e0)
% 266.68/207.94 |
% 266.68/207.94 | From (1921) and (5082) follows:
% 266.68/207.94 | (19463) op(e0, e4) = e4
% 266.68/207.94 |
% 266.68/207.94 | From (1921) and (1273) follows:
% 266.68/207.94 | (678) op(e4, e0) = e2
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (19107), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (19478) ~ (op(e0, e4) = e4)
% 266.68/207.94 |
% 266.68/207.94 | Using (19463) and (19478) yields:
% 266.68/207.94 | (821) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (19463) op(e0, e4) = e4
% 266.68/207.94 | (1161) all_0_35_35 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (1161) can reduce 96 to:
% 266.68/207.94 | (509) ~ (all_0_30_30 = e4)
% 266.68/207.94 |
% 266.68/207.94 | Equations (1161) can reduce 121 to:
% 266.68/207.94 | (3299) ~ (all_0_37_37 = e4)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 3299 yields:
% 266.68/207.94 | (2658) ~ (all_0_37_37 = e4)
% 266.68/207.94 |
% 266.68/207.94 | Equations (1161) can reduce 173 to:
% 266.68/207.94 | (1142) ~ (all_0_38_38 = e4)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 1142 yields:
% 266.68/207.94 | (1143) ~ (all_0_38_38 = e4)
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (327), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (768) all_0_30_30 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (768) can reduce 509 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (509) ~ (all_0_30_30 = e4)
% 266.68/207.94 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (135), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (835) all_0_20_20 = e0
% 266.68/207.94 |
% 266.68/207.94 | Equations (835) can reduce 839 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (839) ~ (all_0_20_20 = e0)
% 266.68/207.94 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (1437), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (1446) all_0_31_31 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (1446) can reduce 584 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (584) ~ (all_0_31_31 = e4)
% 266.68/207.94 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (1449), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (1229) all_0_32_32 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (1229) can reduce 727 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (727) ~ (all_0_32_32 = e4)
% 266.68/207.94 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (1476), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (406) all_0_33_33 = e4
% 266.68/207.94 |
% 266.68/207.94 | Combining equations (406,414) yields a new equation:
% 266.68/207.94 | (1111) e4 = e2
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 1111 yields:
% 266.68/207.94 | (539) e4 = e2
% 266.68/207.94 |
% 266.68/207.94 | Equations (539) can reduce 19 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (405) ~ (all_0_33_33 = e4)
% 266.68/207.94 | (723) all_0_34_34 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (723) can reduce 280 to:
% 266.68/207.94 | (714) ~ (all_0_19_19 = e4)
% 266.68/207.94 |
% 266.68/207.94 | Equations (723) can reduce 4 to:
% 266.68/207.94 | (580) ~ (all_0_24_24 = e4)
% 266.68/207.94 |
% 266.68/207.94 | Equations (723) can reduce 41 to:
% 266.68/207.94 | (724) ~ (all_0_29_29 = e4)
% 266.68/207.94 |
% 266.68/207.94 | Equations (723) can reduce 199 to:
% 266.68/207.94 | (727) ~ (all_0_32_32 = e4)
% 266.68/207.94 |
% 266.68/207.94 | Equations (723) can reduce 384 to:
% 266.68/207.94 | (287) ~ (e4 = e0)
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (876), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (529) all_0_21_21 = e0
% 266.68/207.94 |
% 266.68/207.94 | Combining equations (449,529) yields a new equation:
% 266.68/207.94 | (842) e4 = e0
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 842 yields:
% 266.68/207.94 | (490) e4 = e0
% 266.68/207.94 |
% 266.68/207.94 | Equations (490) can reduce 287 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (398) ~ (all_0_21_21 = e0)
% 266.68/207.94 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (1051), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (1515) all_0_23_23 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (1515) can reduce 578 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (578) ~ (all_0_23_23 = e4)
% 266.68/207.94 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (532), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (21531) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Applying alpha-rule on (21531) yields:
% 266.68/207.94 | (3371) all_0_14_14 = all_0_20_20
% 266.68/207.94 | (839) ~ (all_0_20_20 = e0)
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (21452), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (5138) ~ (op(e4, e0) = e2)
% 266.68/207.94 |
% 266.68/207.94 | Using (678) and (5138) yields:
% 266.68/207.94 | (821) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (678) op(e4, e0) = e2
% 266.68/207.94 | (663) all_0_19_19 = e2
% 266.68/207.94 |
% 266.68/207.94 | Equations (663) can reduce 236 to:
% 266.68/207.94 | (664) ~ (all_0_16_16 = e2)
% 266.68/207.94 |
% 266.68/207.94 | Equations (663) can reduce 87 to:
% 266.68/207.94 | (667) ~ (all_0_24_24 = e2)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 667 yields:
% 266.68/207.94 | (668) ~ (all_0_24_24 = e2)
% 266.68/207.94 |
% 266.68/207.94 | Equations (663) can reduce 229 to:
% 266.68/207.94 | (650) ~ (all_0_29_29 = e2)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 650 yields:
% 266.68/207.94 | (651) ~ (all_0_29_29 = e2)
% 266.68/207.94 |
% 266.68/207.94 | Equations (663) can reduce 714 to:
% 266.68/207.94 | (444) ~ (e4 = e2)
% 266.68/207.94 |
% 266.68/207.94 | Simplifying 444 yields:
% 266.68/207.94 | (19) ~ (e4 = e2)
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (882), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (883) all_0_26_26 = e0
% 266.68/207.94 |
% 266.68/207.94 | Equations (883) can reduce 1058 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (1058) ~ (all_0_26_26 = e0)
% 266.68/207.94 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (357), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (1250) all_0_29_29 = e4
% 266.68/207.94 |
% 266.68/207.94 | Equations (1250) can reduce 724 to:
% 266.68/207.94 | (366) $false
% 266.68/207.94 |
% 266.68/207.94 |-The branch is then unsatisfiable
% 266.68/207.94 |-Branch two:
% 266.68/207.94 | (724) ~ (all_0_29_29 = e4)
% 266.68/207.94 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (1059), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (1060) all_0_31_31 = e0
% 266.68/207.94 |
% 266.68/207.94 | Equations (1060) can reduce 10 to:
% 266.68/207.94 | (824) ~ (all_0_16_16 = e0)
% 266.68/207.94 |
% 266.68/207.94 | Equations (1060) can reduce 145 to:
% 266.68/207.94 | (1058) ~ (all_0_26_26 = e0)
% 266.68/207.94 |
% 266.68/207.94 +-Applying beta-rule and splitting (159), into two cases.
% 266.68/207.94 |-Branch one:
% 266.68/207.94 | (787) all_0_30_30 = e1
% 266.68/207.94 |
% 266.68/207.94 | From (787) and (13340) follows:
% 266.68/207.95 | (21557) op(e0, e1) = e1
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (1518), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (892) all_0_28_28 = e4
% 266.68/207.95 |
% 266.68/207.95 | Equations (892) can reduce 46 to:
% 266.68/207.95 | (582) ~ (all_0_26_26 = e4)
% 266.68/207.95 |
% 266.68/207.95 | Equations (892) can reduce 886 to:
% 266.68/207.95 | (287) ~ (e4 = e0)
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (222), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (823) all_0_17_17 = e0
% 266.68/207.95 |
% 266.68/207.95 | Combining equations (865,823) yields a new equation:
% 266.68/207.95 | (842) e4 = e0
% 266.68/207.95 |
% 266.68/207.95 | Simplifying 842 yields:
% 266.68/207.95 | (490) e4 = e0
% 266.68/207.95 |
% 266.68/207.95 | Equations (490) can reduce 287 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (2422) ~ (all_0_17_17 = e0)
% 266.68/207.95 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.68/207.95 |
% 266.68/207.95 | Equations (865) can reduce 2422 to:
% 266.68/207.95 | (287) ~ (e4 = e0)
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (2812), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (1023) all_0_29_29 = e3
% 266.68/207.95 |
% 266.68/207.95 | Equations (1023) can reduce 85 to:
% 266.68/207.95 | (963) ~ (all_0_24_24 = e3)
% 266.68/207.95 |
% 266.68/207.95 | Equations (1023) can reduce 38 to:
% 266.68/207.95 | (504) ~ (all_0_26_26 = e3)
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (182), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (1237) all_0_26_26 = e4
% 266.68/207.95 |
% 266.68/207.95 | Equations (1237) can reduce 582 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (582) ~ (all_0_26_26 = e4)
% 266.68/207.95 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (5353), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (2443) all_0_26_26 = e3
% 266.68/207.95 |
% 266.68/207.95 | Equations (2443) can reduce 504 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (504) ~ (all_0_26_26 = e3)
% 266.68/207.95 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (5357), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (2380) all_0_26_26 = e2
% 266.68/207.95 |
% 266.68/207.95 | Equations (2380) can reduce 170 to:
% 266.68/207.95 | (755) ~ (all_0_36_36 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Simplifying 755 yields:
% 266.68/207.95 | (756) ~ (all_0_36_36 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Equations (2380) can reduce 582 to:
% 266.68/207.95 | (444) ~ (e4 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Simplifying 444 yields:
% 266.68/207.95 | (19) ~ (e4 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Equations (2380) can reduce 1058 to:
% 266.68/207.95 | (347) ~ (e2 = e0)
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (214), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (797) all_0_35_35 = e2
% 266.68/207.95 |
% 266.68/207.95 | Combining equations (1161,797) yields a new equation:
% 266.68/207.95 | (1111) e4 = e2
% 266.68/207.95 |
% 266.68/207.95 | Simplifying 1111 yields:
% 266.68/207.95 | (539) e4 = e2
% 266.68/207.95 |
% 266.68/207.95 | Equations (539) can reduce 19 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (742) ~ (all_0_35_35 = e2)
% 266.68/207.95 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (800), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (801) all_0_36_36 = e2
% 266.68/207.95 |
% 266.68/207.95 | Equations (801) can reduce 756 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (756) ~ (all_0_36_36 = e2)
% 266.68/207.95 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (804), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (805) all_0_37_37 = e2
% 266.68/207.95 |
% 266.68/207.95 | Equations (805) can reduce 202 to:
% 266.68/207.95 | (493) ~ (all_0_22_22 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Equations (805) can reduce 2658 to:
% 266.68/207.95 | (444) ~ (e4 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Simplifying 444 yields:
% 266.68/207.95 | (19) ~ (e4 = e2)
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (51), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (736) all_0_20_20 = e2
% 266.68/207.95 |
% 266.68/207.95 | Combining equations (736,3371) yields a new equation:
% 266.68/207.95 | (21600) all_0_14_14 = e2
% 266.68/207.95 |
% 266.68/207.95 | Equations (736) can reduce 167 to:
% 266.68/207.95 | (667) ~ (all_0_24_24 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Simplifying 667 yields:
% 266.68/207.95 | (668) ~ (all_0_24_24 = e2)
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (154), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (685) all_0_24_24 = e4
% 266.68/207.95 |
% 266.68/207.95 | Equations (685) can reduce 580 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (580) ~ (all_0_24_24 = e4)
% 266.68/207.95 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (688), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (939) all_0_24_24 = e3
% 266.68/207.95 |
% 266.68/207.95 | Equations (939) can reduce 963 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (963) ~ (all_0_24_24 = e3)
% 266.68/207.95 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (968), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (1393) all_0_24_24 = e2
% 266.68/207.95 |
% 266.68/207.95 | Equations (1393) can reduce 668 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (668) ~ (all_0_24_24 = e2)
% 266.68/207.95 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (2760), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (940) all_0_24_24 = e1
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (629), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (3370) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Applying alpha-rule on (3370) yields:
% 266.68/207.95 | (3371) all_0_14_14 = all_0_20_20
% 266.68/207.95 | (1114) ~ (all_0_20_20 = e2)
% 266.68/207.95 |
% 266.68/207.95 | Combining equations (3371,21600) yields a new equation:
% 266.68/207.95 | (21619) all_0_20_20 = e2
% 266.68/207.95 |
% 266.68/207.95 | Simplifying 21619 yields:
% 266.68/207.95 | (736) all_0_20_20 = e2
% 266.68/207.95 |
% 266.68/207.95 | Equations (736) can reduce 1114 to:
% 266.68/207.95 | (366) $false
% 266.68/207.95 |
% 266.68/207.95 |-The branch is then unsatisfiable
% 266.68/207.95 |-Branch two:
% 266.68/207.95 | (21622) all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13))
% 266.68/207.95 |
% 266.68/207.95 | Applying alpha-rule on (21622) yields:
% 266.68/207.95 | (3371) all_0_14_14 = all_0_20_20
% 266.68/207.95 | (21624) ( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)
% 266.68/207.95 |
% 266.68/207.95 | Combining equations (3371,21600) yields a new equation:
% 266.68/207.95 | (21619) all_0_20_20 = e2
% 266.68/207.95 |
% 266.68/207.95 | Simplifying 21619 yields:
% 266.68/207.95 | (736) all_0_20_20 = e2
% 266.68/207.95 |
% 266.68/207.95 +-Applying beta-rule and splitting (21624), into two cases.
% 266.68/207.95 |-Branch one:
% 266.68/207.95 | (21627) ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12
% 266.68/207.95 |
% 266.68/207.96 | Applying alpha-rule on (21627) yields:
% 266.68/207.96 | (21628) ~ (all_0_12_12 = e0)
% 266.68/207.96 | (21629) op(e3, all_0_20_20) = all_0_12_12
% 266.68/207.96 |
% 266.68/207.96 | From (736) and (21629) follows:
% 266.68/207.96 | (21630) op(e3, e2) = all_0_12_12
% 266.68/207.96 |
% 266.68/207.96 +-Applying beta-rule and splitting (21454), into two cases.
% 266.68/207.96 |-Branch one:
% 266.68/207.96 | (21631) ~ (op(e0, e1) = e1)
% 266.68/207.96 |
% 266.68/207.96 | Using (21557) and (21631) yields:
% 266.68/207.96 | (821) $false
% 266.68/207.96 |
% 266.68/207.96 |-The branch is then unsatisfiable
% 266.68/207.96 |-Branch two:
% 266.68/207.96 | (21557) op(e0, e1) = e1
% 266.68/207.96 | (1211) all_0_38_38 = e1
% 266.68/207.96 |
% 266.68/207.96 | Equations (1211) can reduce 388 to:
% 266.68/207.96 | (37) ~ (e1 = e0)
% 266.68/207.96 |
% 266.68/207.96 +-Applying beta-rule and splitting (840), into two cases.
% 266.68/207.96 |-Branch one:
% 266.68/207.96 | (529) all_0_21_21 = e0
% 266.68/207.96 |
% 266.68/207.96 | Combining equations (529,449) yields a new equation:
% 266.68/207.96 | (490) e4 = e0
% 266.68/207.96 |
% 266.68/207.96 | Equations (490) can reduce 287 to:
% 266.68/207.96 | (366) $false
% 266.68/207.96 |
% 266.68/207.96 |-The branch is then unsatisfiable
% 266.68/207.96 |-Branch two:
% 266.68/207.96 | (398) ~ (all_0_21_21 = e0)
% 266.68/207.96 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.68/207.96 |
% 266.68/207.96 +-Applying beta-rule and splitting (846), into two cases.
% 266.68/207.96 |-Branch one:
% 266.68/207.96 | (847) all_0_22_22 = e0
% 266.68/207.96 |
% 266.68/207.96 | From (847) and (207) follows:
% 266.68/207.96 | (8906) op(e3, e2) = e0
% 266.68/207.96 |
% 266.68/207.96 | Instantiating formula (97) with e3, e2, e0, all_0_12_12 and discharging atoms op(e3, e2) = all_0_12_12, op(e3, e2) = e0, yields:
% 266.68/207.96 | (21643) all_0_12_12 = e0
% 266.68/207.96 |
% 266.68/207.96 | Equations (21643) can reduce 21628 to:
% 266.68/207.96 | (366) $false
% 266.68/207.96 |
% 266.68/207.96 |-The branch is then unsatisfiable
% 266.68/207.96 |-Branch two:
% 266.68/207.96 | (826) ~ (all_0_22_22 = e0)
% 266.68/207.96 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 266.68/207.96 |
% 266.68/207.96 +-Applying beta-rule and splitting (850), into two cases.
% 266.68/207.96 |-Branch one:
% 266.68/207.96 | (851) all_0_23_23 = e0
% 266.68/207.96 |
% 266.68/207.96 | Equations (851) can reduce 1068 to:
% 266.68/207.96 | (366) $false
% 266.68/207.96 |
% 266.68/207.96 |-The branch is then unsatisfiable
% 266.68/207.96 |-Branch two:
% 266.68/207.96 | (1068) ~ (all_0_23_23 = e0)
% 266.68/207.96 | (1069) all_0_24_24 = e0
% 266.68/207.96 |
% 266.68/207.96 | Combining equations (1069,940) yields a new equation:
% 266.68/207.96 | (961) e1 = e0
% 266.68/207.96 |
% 266.68/207.96 | Equations (961) can reduce 37 to:
% 266.68/207.96 | (366) $false
% 266.68/207.96 |
% 266.68/207.96 |-The branch is then unsatisfiable
% 266.68/207.96 |-Branch two:
% 266.68/207.96 | (21653) ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13
% 266.68/207.96 |
% 266.68/207.96 | Applying alpha-rule on (21653) yields:
% 266.68/207.96 | (21654) ~ (all_0_13_13 = e1)
% 266.68/207.96 | (21655) op(all_0_20_20, all_0_20_20) = all_0_13_13
% 266.68/207.96 |
% 266.68/207.96 | From (736)(736) and (21655) follows:
% 266.68/207.97 | (21656) op(e2, e2) = all_0_13_13
% 266.68/207.97 |
% 266.68/207.97 | Instantiating formula (97) with e2, e2, all_0_13_13, e1 and discharging atoms op(e2, e2) = all_0_13_13, op(e2, e2) = e1, yields:
% 266.68/207.97 | (21657) all_0_13_13 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (21657) can reduce 21654 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (943) ~ (all_0_24_24 = e1)
% 266.68/207.97 | (1069) all_0_24_24 = e0
% 266.68/207.97 |
% 266.68/207.97 | Equations (1069) can reduce 382 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (1114) ~ (all_0_20_20 = e2)
% 266.68/207.97 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (1115), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (522) all_0_21_21 = e2
% 266.68/207.97 |
% 266.68/207.97 | Combining equations (522,449) yields a new equation:
% 266.68/207.97 | (539) e4 = e2
% 266.68/207.97 |
% 266.68/207.97 | Equations (539) can reduce 19 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (361) ~ (all_0_21_21 = e2)
% 266.68/207.97 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (1121), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (917) all_0_22_22 = e2
% 266.68/207.97 |
% 266.68/207.97 | Equations (917) can reduce 493 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (493) ~ (all_0_22_22 = e2)
% 266.68/207.97 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (1125), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (1126) all_0_23_23 = e2
% 266.68/207.97 |
% 266.68/207.97 | Equations (1126) can reduce 810 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (810) ~ (all_0_23_23 = e2)
% 266.68/207.97 | (1393) all_0_24_24 = e2
% 266.68/207.97 |
% 266.68/207.97 | Equations (1393) can reduce 668 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (515) ~ (all_0_37_37 = e2)
% 266.68/207.97 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (808), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (809) all_0_38_38 = e2
% 266.68/207.97 |
% 266.68/207.97 | Equations (809) can reduce 1084 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (1084) ~ (all_0_38_38 = e2)
% 266.68/207.97 | (373) all_0_39_39 = e2
% 266.68/207.97 |
% 266.68/207.97 | Combining equations (380,373) yields a new equation:
% 266.68/207.97 | (551) e2 = e0
% 266.68/207.97 |
% 266.68/207.97 | Equations (551) can reduce 347 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (647) ~ (all_0_26_26 = e2)
% 266.68/207.97 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (5361), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (1005) all_0_26_26 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (1005) can reduce 1008 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (1008) ~ (all_0_26_26 = e1)
% 266.68/207.97 | (883) all_0_26_26 = e0
% 266.68/207.97 |
% 266.68/207.97 | Equations (883) can reduce 1058 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (898) ~ (all_0_29_29 = e3)
% 266.68/207.97 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (5409), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (4103) all_0_29_29 = e2
% 266.68/207.97 |
% 266.68/207.97 | Equations (4103) can reduce 651 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (651) ~ (all_0_29_29 = e2)
% 266.68/207.97 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (5413), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (945) all_0_29_29 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (945) can reduce 952 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (952) ~ (all_0_29_29 = e1)
% 266.68/207.97 | (2537) all_0_29_29 = e0
% 266.68/207.97 |
% 266.68/207.97 | Equations (2537) can reduce 383 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (890) ~ (all_0_28_28 = e4)
% 266.68/207.97 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (1522), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (406) all_0_33_33 = e4
% 266.68/207.97 |
% 266.68/207.97 | Combining equations (414,406) yields a new equation:
% 266.68/207.97 | (539) e4 = e2
% 266.68/207.97 |
% 266.68/207.97 | Equations (539) can reduce 19 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (405) ~ (all_0_33_33 = e4)
% 266.68/207.97 | (1165) all_0_38_38 = e4
% 266.68/207.97 |
% 266.68/207.97 | Equations (1165) can reduce 1143 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (422) ~ (all_0_30_30 = e1)
% 266.68/207.97 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (323), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (476) all_0_15_15 = e1
% 266.68/207.97 |
% 266.68/207.97 | Combining equations (468,476) yields a new equation:
% 266.68/207.97 | (933) e3 = e1
% 266.68/207.97 |
% 266.68/207.97 | Simplifying 933 yields:
% 266.68/207.97 | (706) e3 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (706) can reduce 318 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (482) ~ (all_0_15_15 = e1)
% 266.68/207.97 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (709), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (921) all_0_16_16 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (921) can reduce 573 to:
% 266.68/207.97 | (477) ~ (e4 = e1)
% 266.68/207.97 |
% 266.68/207.97 | Simplifying 477 yields:
% 266.68/207.97 | (65) ~ (e4 = e1)
% 266.68/207.97 |
% 266.68/207.97 | Equations (921) can reduce 664 to:
% 266.68/207.97 | (1002) ~ (e2 = e1)
% 266.68/207.97 |
% 266.68/207.97 | Simplifying 1002 yields:
% 266.68/207.97 | (329) ~ (e2 = e1)
% 266.68/207.97 |
% 266.68/207.97 | Equations (921) can reduce 824 to:
% 266.68/207.97 | (37) ~ (e1 = e0)
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (16), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (1196) all_0_35_35 = e1
% 266.68/207.97 |
% 266.68/207.97 | Combining equations (1161,1196) yields a new equation:
% 266.68/207.97 | (955) e4 = e1
% 266.68/207.97 |
% 266.68/207.97 | Simplifying 955 yields:
% 266.68/207.97 | (480) e4 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (480) can reduce 65 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (1177) ~ (all_0_35_35 = e1)
% 266.68/207.97 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (1161) can reduce 1177 to:
% 266.68/207.97 | (65) ~ (e4 = e1)
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (5570), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (1010) all_0_31_31 = e1
% 266.68/207.97 |
% 266.68/207.97 | Combining equations (1060,1010) yields a new equation:
% 266.68/207.97 | (961) e1 = e0
% 266.68/207.97 |
% 266.68/207.97 | Equations (961) can reduce 37 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (423) ~ (all_0_31_31 = e1)
% 266.68/207.97 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (5940), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (1587) all_0_32_32 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (1587) can reduce 424 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (424) ~ (all_0_32_32 = e1)
% 266.68/207.97 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (5953), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (418) all_0_33_33 = e1
% 266.68/207.97 |
% 266.68/207.97 | Combining equations (414,418) yields a new equation:
% 266.68/207.97 | (717) e2 = e1
% 266.68/207.97 |
% 266.68/207.97 | Simplifying 717 yields:
% 266.68/207.97 | (718) e2 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (718) can reduce 329 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (507) ~ (all_0_33_33 = e1)
% 266.68/207.97 | (954) all_0_34_34 = e1
% 266.68/207.97 |
% 266.68/207.97 | Combining equations (954,723) yields a new equation:
% 266.68/207.97 | (480) e4 = e1
% 266.68/207.97 |
% 266.68/207.97 | Equations (480) can reduce 65 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (985) ~ (all_0_16_16 = e1)
% 266.68/207.97 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (704), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (1287) all_0_16_16 = e3
% 266.68/207.97 |
% 266.68/207.97 | Equations (1287) can reduce 458 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (458) ~ (all_0_16_16 = e3)
% 266.68/207.97 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 266.68/207.97 |
% 266.68/207.97 +-Applying beta-rule and splitting (1290), into two cases.
% 266.68/207.97 |-Branch one:
% 266.68/207.97 | (697) all_0_16_16 = e2
% 266.68/207.97 |
% 266.68/207.97 | Equations (697) can reduce 664 to:
% 266.68/207.97 | (366) $false
% 266.68/207.97 |
% 266.68/207.97 |-The branch is then unsatisfiable
% 266.68/207.97 |-Branch two:
% 266.68/207.97 | (664) ~ (all_0_16_16 = e2)
% 266.68/207.98 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 266.68/207.98 |
% 266.68/207.98 +-Applying beta-rule and splitting (1377), into two cases.
% 266.68/207.98 |-Branch one:
% 266.68/207.98 | (921) all_0_16_16 = e1
% 266.68/207.98 |
% 266.68/207.98 | Equations (921) can reduce 985 to:
% 266.68/207.98 | (366) $false
% 266.68/207.98 |
% 266.68/207.98 |-The branch is then unsatisfiable
% 266.68/207.98 |-Branch two:
% 266.68/207.98 | (985) ~ (all_0_16_16 = e1)
% 266.68/207.98 | (873) all_0_16_16 = e0
% 266.68/207.98 |
% 266.68/207.98 | Equations (873) can reduce 824 to:
% 266.68/207.98 | (366) $false
% 266.68/207.98 |
% 266.68/207.98 |-The branch is then unsatisfiable
% 266.68/207.98 |-Branch two:
% 266.68/207.98 | (1064) ~ (all_0_31_31 = e0)
% 266.68/207.98 | (1065) all_0_36_36 = e0
% 266.68/207.98 |
% 266.68/207.98 | Equations (1065) can reduce 386 to:
% 266.68/207.98 | (366) $false
% 266.68/207.98 |
% 266.68/207.98 |-The branch is then unsatisfiable
% 266.68/207.98 |-Branch two:
% 266.68/207.98 | (21768) all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13))
% 266.68/207.98 |
% 266.68/207.98 | Applying alpha-rule on (21768) yields:
% 266.68/207.98 | (3371) all_0_14_14 = all_0_20_20
% 266.68/207.98 | (21770) ( ~ (all_0_12_12 = e1) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)
% 266.68/207.98 |
% 266.68/207.98 +-Applying beta-rule and splitting (21452), into two cases.
% 266.68/207.98 |-Branch one:
% 266.68/207.98 | (5138) ~ (op(e4, e0) = e2)
% 266.68/207.98 |
% 266.68/207.98 | Using (678) and (5138) yields:
% 266.68/207.98 | (821) $false
% 266.68/207.98 |
% 266.68/207.98 |-The branch is then unsatisfiable
% 266.68/207.98 |-Branch two:
% 266.68/207.98 | (678) op(e4, e0) = e2
% 266.68/207.98 | (663) all_0_19_19 = e2
% 266.68/207.98 |
% 266.68/207.98 | Equations (663) can reduce 236 to:
% 266.68/207.98 | (664) ~ (all_0_16_16 = e2)
% 266.68/207.98 |
% 266.68/207.98 | Equations (663) can reduce 87 to:
% 266.68/207.98 | (667) ~ (all_0_24_24 = e2)
% 266.68/207.98 |
% 266.68/207.98 | Simplifying 667 yields:
% 266.68/207.98 | (668) ~ (all_0_24_24 = e2)
% 266.68/207.98 |
% 266.68/207.98 | Equations (663) can reduce 229 to:
% 266.68/207.98 | (650) ~ (all_0_29_29 = e2)
% 266.68/207.98 |
% 266.68/207.98 | Simplifying 650 yields:
% 266.68/207.98 | (651) ~ (all_0_29_29 = e2)
% 266.68/207.98 |
% 266.68/207.98 | Equations (663) can reduce 714 to:
% 266.68/207.98 | (444) ~ (e4 = e2)
% 266.68/207.98 |
% 266.68/207.98 | Simplifying 444 yields:
% 266.68/207.98 | (19) ~ (e4 = e2)
% 266.68/207.98 |
% 266.68/207.98 +-Applying beta-rule and splitting (882), into two cases.
% 266.68/207.98 |-Branch one:
% 266.68/207.98 | (883) all_0_26_26 = e0
% 266.68/207.98 |
% 266.73/207.98 | Equations (883) can reduce 1058 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (1058) ~ (all_0_26_26 = e0)
% 266.73/207.98 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (357), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (1250) all_0_29_29 = e4
% 266.73/207.98 |
% 266.73/207.98 | Equations (1250) can reduce 724 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (724) ~ (all_0_29_29 = e4)
% 266.73/207.98 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (1059), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (1060) all_0_31_31 = e0
% 266.73/207.98 |
% 266.73/207.98 | Equations (1060) can reduce 10 to:
% 266.73/207.98 | (824) ~ (all_0_16_16 = e0)
% 266.73/207.98 |
% 266.73/207.98 | Equations (1060) can reduce 145 to:
% 266.73/207.98 | (1058) ~ (all_0_26_26 = e0)
% 266.73/207.98 |
% 266.73/207.98 | Equations (1060) can reduce 217 to:
% 266.73/207.98 | (1878) ~ (all_0_30_30 = e0)
% 266.73/207.98 |
% 266.73/207.98 | Equations (1060) can reduce 247 to:
% 266.73/207.98 | (2961) ~ (all_0_32_32 = e0)
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 2961 yields:
% 266.73/207.98 | (1946) ~ (all_0_32_32 = e0)
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (159), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (787) all_0_30_30 = e1
% 266.73/207.98 |
% 266.73/207.98 | Equations (787) can reduce 116 to:
% 266.73/207.98 | (1409) ~ (all_0_20_20 = e1)
% 266.73/207.98 |
% 266.73/207.98 | Equations (787) can reduce 186 to:
% 266.73/207.98 | (4691) ~ (all_0_32_32 = e1)
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 4691 yields:
% 266.73/207.98 | (424) ~ (all_0_32_32 = e1)
% 266.73/207.98 |
% 266.73/207.98 | Equations (787) can reduce 568 to:
% 266.73/207.98 | (429) ~ (e3 = e1)
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 429 yields:
% 266.73/207.98 | (318) ~ (e3 = e1)
% 266.73/207.98 |
% 266.73/207.98 | Equations (787) can reduce 1878 to:
% 266.73/207.98 | (37) ~ (e1 = e0)
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (1518), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (892) all_0_28_28 = e4
% 266.73/207.98 |
% 266.73/207.98 | Equations (892) can reduce 46 to:
% 266.73/207.98 | (582) ~ (all_0_26_26 = e4)
% 266.73/207.98 |
% 266.73/207.98 | Equations (892) can reduce 886 to:
% 266.73/207.98 | (287) ~ (e4 = e0)
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (261), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (1229) all_0_32_32 = e4
% 266.73/207.98 |
% 266.73/207.98 | Equations (1229) can reduce 727 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (727) ~ (all_0_32_32 = e4)
% 266.73/207.98 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (323), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (476) all_0_15_15 = e1
% 266.73/207.98 |
% 266.73/207.98 | Combining equations (468,476) yields a new equation:
% 266.73/207.98 | (933) e3 = e1
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 933 yields:
% 266.73/207.98 | (706) e3 = e1
% 266.73/207.98 |
% 266.73/207.98 | Equations (706) can reduce 318 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (482) ~ (all_0_15_15 = e1)
% 266.73/207.98 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (222), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (823) all_0_17_17 = e0
% 266.73/207.98 |
% 266.73/207.98 | Combining equations (865,823) yields a new equation:
% 266.73/207.98 | (842) e4 = e0
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 842 yields:
% 266.73/207.98 | (490) e4 = e0
% 266.73/207.98 |
% 266.73/207.98 | Equations (490) can reduce 287 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (2422) ~ (all_0_17_17 = e0)
% 266.73/207.98 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (2812), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (1023) all_0_29_29 = e3
% 266.73/207.98 |
% 266.73/207.98 | Equations (1023) can reduce 85 to:
% 266.73/207.98 | (963) ~ (all_0_24_24 = e3)
% 266.73/207.98 |
% 266.73/207.98 | Equations (1023) can reduce 38 to:
% 266.73/207.98 | (504) ~ (all_0_26_26 = e3)
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (182), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (1237) all_0_26_26 = e4
% 266.73/207.98 |
% 266.73/207.98 | Equations (1237) can reduce 582 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (582) ~ (all_0_26_26 = e4)
% 266.73/207.98 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (5353), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (2443) all_0_26_26 = e3
% 266.73/207.98 |
% 266.73/207.98 | Equations (2443) can reduce 504 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (504) ~ (all_0_26_26 = e3)
% 266.73/207.98 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (5357), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (2380) all_0_26_26 = e2
% 266.73/207.98 |
% 266.73/207.98 | Equations (2380) can reduce 139 to:
% 266.73/207.98 | (664) ~ (all_0_16_16 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Equations (2380) can reduce 170 to:
% 266.73/207.98 | (755) ~ (all_0_36_36 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 755 yields:
% 266.73/207.98 | (756) ~ (all_0_36_36 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Equations (2380) can reduce 582 to:
% 266.73/207.98 | (444) ~ (e4 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 444 yields:
% 266.73/207.98 | (19) ~ (e4 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Equations (2380) can reduce 1058 to:
% 266.73/207.98 | (347) ~ (e2 = e0)
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (214), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (797) all_0_35_35 = e2
% 266.73/207.98 |
% 266.73/207.98 | Combining equations (1161,797) yields a new equation:
% 266.73/207.98 | (1111) e4 = e2
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 1111 yields:
% 266.73/207.98 | (539) e4 = e2
% 266.73/207.98 |
% 266.73/207.98 | Equations (539) can reduce 19 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (742) ~ (all_0_35_35 = e2)
% 266.73/207.98 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (800), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (801) all_0_36_36 = e2
% 266.73/207.98 |
% 266.73/207.98 | Equations (801) can reduce 756 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (756) ~ (all_0_36_36 = e2)
% 266.73/207.98 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (804), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (805) all_0_37_37 = e2
% 266.73/207.98 |
% 266.73/207.98 | Equations (805) can reduce 202 to:
% 266.73/207.98 | (493) ~ (all_0_22_22 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Equations (805) can reduce 336 to:
% 266.73/207.98 | (508) ~ (all_0_32_32 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Equations (805) can reduce 2658 to:
% 266.73/207.98 | (444) ~ (e4 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 444 yields:
% 266.73/207.98 | (19) ~ (e4 = e2)
% 266.73/207.98 |
% 266.73/207.98 | Equations (805) can reduce 387 to:
% 266.73/207.98 | (347) ~ (e2 = e0)
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (51), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (736) all_0_20_20 = e2
% 266.73/207.98 |
% 266.73/207.98 | Combining equations (736,3371) yields a new equation:
% 266.73/207.98 | (21600) all_0_14_14 = e2
% 266.73/207.98 |
% 266.73/207.98 | Equations (736) can reduce 839 to:
% 266.73/207.98 | (347) ~ (e2 = e0)
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (1506), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (772) all_0_32_32 = e3
% 266.73/207.98 |
% 266.73/207.98 | Combining equations (772,20681) yields a new equation:
% 266.73/207.98 | (8806) all_0_5_5 = e3
% 266.73/207.98 |
% 266.73/207.98 | Equations (772) can reduce 63 to:
% 266.73/207.98 | (774) ~ (all_0_22_22 = e3)
% 266.73/207.98 |
% 266.73/207.98 | Equations (772) can reduce 727 to:
% 266.73/207.98 | (695) ~ (e4 = e3)
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 695 yields:
% 266.73/207.98 | (277) ~ (e4 = e3)
% 266.73/207.98 |
% 266.73/207.98 | Equations (772) can reduce 508 to:
% 266.73/207.98 | (56) ~ (e3 = e2)
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (125), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (903) all_0_20_20 = e3
% 266.73/207.98 |
% 266.73/207.98 | Combining equations (903,736) yields a new equation:
% 266.73/207.98 | (3874) e3 = e2
% 266.73/207.98 |
% 266.73/207.98 | Simplifying 3874 yields:
% 266.73/207.98 | (764) e3 = e2
% 266.73/207.98 |
% 266.73/207.98 | Equations (764) can reduce 56 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.98 | (564) ~ (all_0_20_20 = e3)
% 266.73/207.98 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 266.73/207.98 |
% 266.73/207.98 +-Applying beta-rule and splitting (907), into two cases.
% 266.73/207.98 |-Branch one:
% 266.73/207.98 | (453) all_0_21_21 = e3
% 266.73/207.98 |
% 266.73/207.98 | Combining equations (453,449) yields a new equation:
% 266.73/207.98 | (691) e4 = e3
% 266.73/207.98 |
% 266.73/207.98 | Equations (691) can reduce 277 to:
% 266.73/207.98 | (366) $false
% 266.73/207.98 |
% 266.73/207.98 |-The branch is then unsatisfiable
% 266.73/207.98 |-Branch two:
% 266.73/207.99 | (494) ~ (all_0_21_21 = e3)
% 266.73/207.99 | (973) all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 266.73/207.99 |
% 266.73/207.99 +-Applying beta-rule and splitting (973), into two cases.
% 266.73/207.99 |-Branch one:
% 266.73/207.99 | (857) all_0_22_22 = e3
% 266.73/207.99 |
% 266.73/207.99 | Equations (857) can reduce 774 to:
% 266.73/207.99 | (366) $false
% 266.73/207.99 |
% 266.73/207.99 |-The branch is then unsatisfiable
% 266.73/207.99 |-Branch two:
% 266.73/207.99 | (774) ~ (all_0_22_22 = e3)
% 266.73/207.99 | (977) all_0_23_23 = e3 | all_0_24_24 = e3
% 266.73/207.99 |
% 266.73/207.99 +-Applying beta-rule and splitting (977), into two cases.
% 266.73/207.99 |-Branch one:
% 266.73/207.99 | (978) all_0_23_23 = e3
% 266.73/207.99 |
% 266.73/207.99 | Equations (978) can reduce 1068 to:
% 266.73/207.99 | (88) ~ (e3 = e0)
% 266.73/207.99 |
% 266.73/207.99 +-Applying beta-rule and splitting (2515), into two cases.
% 266.73/207.99 |-Branch one:
% 266.73/207.99 | (847) all_0_22_22 = e0
% 266.73/207.99 |
% 266.73/207.99 | From (847) and (207) follows:
% 266.73/207.99 | (8906) op(e3, e2) = e0
% 266.73/207.99 |
% 266.73/207.99 +-Applying beta-rule and splitting (629), into two cases.
% 266.73/207.99 |-Branch one:
% 266.73/207.99 | (3370) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)
% 266.73/207.99 |
% 266.73/207.99 | Applying alpha-rule on (3370) yields:
% 266.73/207.99 | (3371) all_0_14_14 = all_0_20_20
% 266.73/207.99 | (1114) ~ (all_0_20_20 = e2)
% 266.73/207.99 |
% 266.73/207.99 | Combining equations (3371,21600) yields a new equation:
% 266.73/207.99 | (21619) all_0_20_20 = e2
% 266.73/207.99 |
% 266.73/207.99 | Simplifying 21619 yields:
% 266.73/207.99 | (736) all_0_20_20 = e2
% 266.73/207.99 |
% 266.73/207.99 | Equations (736) can reduce 1114 to:
% 266.73/207.99 | (366) $false
% 266.73/207.99 |
% 266.73/207.99 |-The branch is then unsatisfiable
% 266.73/207.99 |-Branch two:
% 266.73/207.99 | (21622) all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13))
% 266.73/207.99 |
% 266.73/207.99 | Applying alpha-rule on (21622) yields:
% 266.73/207.99 | (3371) all_0_14_14 = all_0_20_20
% 266.73/207.99 | (21624) ( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)
% 266.73/207.99 |
% 266.73/207.99 | Combining equations (3371,21600) yields a new equation:
% 266.73/207.99 | (21619) all_0_20_20 = e2
% 266.73/207.99 |
% 266.73/207.99 | Simplifying 21619 yields:
% 266.73/207.99 | (736) all_0_20_20 = e2
% 266.73/207.99 |
% 266.73/207.99 +-Applying beta-rule and splitting (21624), into two cases.
% 266.73/207.99 |-Branch one:
% 266.73/207.99 | (21627) ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12
% 266.73/207.99 |
% 266.73/207.99 | Applying alpha-rule on (21627) yields:
% 266.73/207.99 | (21628) ~ (all_0_12_12 = e0)
% 266.73/207.99 | (21629) op(e3, all_0_20_20) = all_0_12_12
% 266.73/207.99 |
% 266.73/207.99 | From (736) and (21629) follows:
% 266.73/207.99 | (21630) op(e3, e2) = all_0_12_12
% 266.73/207.99 |
% 266.73/207.99 | Instantiating formula (97) with e3, e2, e0, all_0_12_12 and discharging atoms op(e3, e2) = all_0_12_12, op(e3, e2) = e0, yields:
% 266.73/207.99 | (21643) all_0_12_12 = e0
% 266.73/207.99 |
% 266.73/208.00 | Equations (21643) can reduce 21628 to:
% 266.73/208.00 | (366) $false
% 266.73/208.00 |
% 266.73/208.00 |-The branch is then unsatisfiable
% 266.73/208.00 |-Branch two:
% 266.73/208.00 | (21653) ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13
% 266.73/208.00 |
% 266.73/208.00 | Applying alpha-rule on (21653) yields:
% 266.73/208.00 | (21654) ~ (all_0_13_13 = e1)
% 266.73/208.00 | (21655) op(all_0_20_20, all_0_20_20) = all_0_13_13
% 266.73/208.00 |
% 266.73/208.00 | From (736)(736) and (21655) follows:
% 266.73/208.00 | (21656) op(e2, e2) = all_0_13_13
% 266.73/208.00 |
% 266.73/208.00 | Instantiating formula (97) with e2, e2, all_0_13_13, e1 and discharging atoms op(e2, e2) = all_0_13_13, op(e2, e2) = e1, yields:
% 266.73/208.00 | (21657) all_0_13_13 = e1
% 266.73/208.00 |
% 266.73/208.00 | Equations (21657) can reduce 21654 to:
% 266.73/208.00 | (366) $false
% 266.73/208.00 |
% 266.73/208.00 |-The branch is then unsatisfiable
% 266.73/208.00 |-Branch two:
% 266.73/208.00 | (826) ~ (all_0_22_22 = e0)
% 266.73/208.00 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.73/208.00 |
% 266.73/208.00 +-Applying beta-rule and splitting (3101), into two cases.
% 266.73/208.00 |-Branch one:
% 266.73/208.00 | (546) all_0_27_27 = e0
% 266.73/208.00 |
% 266.73/208.00 | Combining equations (543,546) yields a new equation:
% 266.73/208.00 | (960) e1 = e0
% 266.73/208.00 |
% 266.73/208.00 | Simplifying 960 yields:
% 266.73/208.00 | (961) e1 = e0
% 266.73/208.00 |
% 266.73/208.00 | Equations (961) can reduce 37 to:
% 266.73/208.00 | (366) $false
% 266.73/208.00 |
% 266.73/208.00 |-The branch is then unsatisfiable
% 266.73/208.00 |-Branch two:
% 266.73/208.00 | (434) ~ (all_0_27_27 = e0)
% 266.73/208.00 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 266.73/208.00 |
% 266.73/208.00 +-Applying beta-rule and splitting (14957), into two cases.
% 266.73/208.00 |-Branch one:
% 266.73/208.00 | (21915) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)
% 266.73/208.00 |
% 266.73/208.00 | Applying alpha-rule on (21915) yields:
% 266.73/208.00 | (20681) all_0_5_5 = all_0_32_32
% 266.73/208.00 | (1089) ~ (all_0_32_32 = e3)
% 266.73/208.00 |
% 266.73/208.00 | Combining equations (20681,8806) yields a new equation:
% 266.73/208.00 | (21918) all_0_32_32 = e3
% 266.73/208.00 |
% 266.73/208.00 | Simplifying 21918 yields:
% 266.73/208.00 | (772) all_0_32_32 = e3
% 266.73/208.00 |
% 266.73/208.00 | Equations (772) can reduce 1089 to:
% 266.73/208.00 | (366) $false
% 266.73/208.00 |
% 266.73/208.00 |-The branch is then unsatisfiable
% 266.73/208.00 |-Branch two:
% 266.73/208.01 | (21921) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 266.73/208.01 |
% 266.73/208.01 | Applying alpha-rule on (21921) yields:
% 266.73/208.01 | (20681) all_0_5_5 = all_0_32_32
% 266.73/208.01 | (21923) ( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (20681,8806) yields a new equation:
% 266.73/208.01 | (21918) all_0_32_32 = e3
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 21918 yields:
% 266.73/208.01 | (772) all_0_32_32 = e3
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (3107), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (1626) all_0_32_32 = e0
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (1626,772) yields a new equation:
% 266.73/208.01 | (980) e3 = e0
% 266.73/208.01 |
% 266.73/208.01 | Equations (980) can reduce 88 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (1946) ~ (all_0_32_32 = e0)
% 266.73/208.01 | (3111) all_0_37_37 = e0
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (3111,805) yields a new equation:
% 266.73/208.01 | (551) e2 = e0
% 266.73/208.01 |
% 266.73/208.01 | Equations (551) can reduce 347 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (982) ~ (all_0_23_23 = e3)
% 266.73/208.01 | (939) all_0_24_24 = e3
% 266.73/208.01 |
% 266.73/208.01 | Equations (939) can reduce 963 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (1089) ~ (all_0_32_32 = e3)
% 266.73/208.01 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (1618), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (1101) all_0_32_32 = e2
% 266.73/208.01 |
% 266.73/208.01 | Equations (1101) can reduce 508 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (508) ~ (all_0_32_32 = e2)
% 266.73/208.01 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (1622), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (1587) all_0_32_32 = e1
% 266.73/208.01 |
% 266.73/208.01 | Equations (1587) can reduce 424 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (424) ~ (all_0_32_32 = e1)
% 266.73/208.01 | (1626) all_0_32_32 = e0
% 266.73/208.01 |
% 266.73/208.01 | Equations (1626) can reduce 1946 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (1114) ~ (all_0_20_20 = e2)
% 266.73/208.01 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (1115), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (522) all_0_21_21 = e2
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (522,449) yields a new equation:
% 266.73/208.01 | (539) e4 = e2
% 266.73/208.01 |
% 266.73/208.01 | Equations (539) can reduce 19 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (361) ~ (all_0_21_21 = e2)
% 266.73/208.01 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 266.73/208.01 |
% 266.73/208.01 | Equations (449) can reduce 361 to:
% 266.73/208.01 | (19) ~ (e4 = e2)
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (1506), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (772) all_0_32_32 = e3
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (772,20681) yields a new equation:
% 266.73/208.01 | (8806) all_0_5_5 = e3
% 266.73/208.01 |
% 266.73/208.01 | Equations (772) can reduce 63 to:
% 266.73/208.01 | (774) ~ (all_0_22_22 = e3)
% 266.73/208.01 |
% 266.73/208.01 | Equations (772) can reduce 727 to:
% 266.73/208.01 | (695) ~ (e4 = e3)
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 695 yields:
% 266.73/208.01 | (277) ~ (e4 = e3)
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (125), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (903) all_0_20_20 = e3
% 266.73/208.01 |
% 266.73/208.01 | Equations (903) can reduce 564 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (564) ~ (all_0_20_20 = e3)
% 266.73/208.01 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (907), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (453) all_0_21_21 = e3
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (453,449) yields a new equation:
% 266.73/208.01 | (691) e4 = e3
% 266.73/208.01 |
% 266.73/208.01 | Equations (691) can reduce 277 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (494) ~ (all_0_21_21 = e3)
% 266.73/208.01 | (973) all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (973), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (857) all_0_22_22 = e3
% 266.73/208.01 |
% 266.73/208.01 | Equations (857) can reduce 774 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (774) ~ (all_0_22_22 = e3)
% 266.73/208.01 | (977) all_0_23_23 = e3 | all_0_24_24 = e3
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (977), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (978) all_0_23_23 = e3
% 266.73/208.01 |
% 266.73/208.01 | Equations (978) can reduce 810 to:
% 266.73/208.01 | (56) ~ (e3 = e2)
% 266.73/208.01 |
% 266.73/208.01 | Equations (978) can reduce 1068 to:
% 266.73/208.01 | (88) ~ (e3 = e0)
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (2515), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (847) all_0_22_22 = e0
% 266.73/208.01 |
% 266.73/208.01 | Equations (847) can reduce 493 to:
% 266.73/208.01 | (393) ~ (e2 = e0)
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 393 yields:
% 266.73/208.01 | (347) ~ (e2 = e0)
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (228), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (921) all_0_16_16 = e1
% 266.73/208.01 |
% 266.73/208.01 | Equations (921) can reduce 573 to:
% 266.73/208.01 | (477) ~ (e4 = e1)
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 477 yields:
% 266.73/208.01 | (65) ~ (e4 = e1)
% 266.73/208.01 |
% 266.73/208.01 | Equations (921) can reduce 458 to:
% 266.73/208.01 | (429) ~ (e3 = e1)
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 429 yields:
% 266.73/208.01 | (318) ~ (e3 = e1)
% 266.73/208.01 |
% 266.73/208.01 | Equations (921) can reduce 664 to:
% 266.73/208.01 | (1002) ~ (e2 = e1)
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 1002 yields:
% 266.73/208.01 | (329) ~ (e2 = e1)
% 266.73/208.01 |
% 266.73/208.01 | Equations (921) can reduce 824 to:
% 266.73/208.01 | (37) ~ (e1 = e0)
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (308), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (1175) all_0_20_20 = e1
% 266.73/208.01 |
% 266.73/208.01 | Equations (1175) can reduce 1409 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (1409) ~ (all_0_20_20 = e1)
% 266.73/208.01 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (1121), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (917) all_0_22_22 = e2
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (917,847) yields a new equation:
% 266.73/208.01 | (836) e2 = e0
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 836 yields:
% 266.73/208.01 | (551) e2 = e0
% 266.73/208.01 |
% 266.73/208.01 | Equations (551) can reduce 347 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (493) ~ (all_0_22_22 = e2)
% 266.73/208.01 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 266.73/208.01 |
% 266.73/208.01 | Equations (847) can reduce 493 to:
% 266.73/208.01 | (393) ~ (e2 = e0)
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 393 yields:
% 266.73/208.01 | (347) ~ (e2 = e0)
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (32), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (716) all_0_19_19 = e1
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (716,663) yields a new equation:
% 266.73/208.01 | (718) e2 = e1
% 266.73/208.01 |
% 266.73/208.01 | Equations (718) can reduce 329 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (720) ~ (all_0_19_19 = e1)
% 266.73/208.01 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (162), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (472) all_0_15_15 = e2
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (472,468) yields a new equation:
% 266.73/208.01 | (764) e3 = e2
% 266.73/208.01 |
% 266.73/208.01 | Equations (764) can reduce 56 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (447) ~ (all_0_15_15 = e2)
% 266.73/208.01 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (2921), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (736) all_0_20_20 = e2
% 266.73/208.01 |
% 266.73/208.01 | Equations (736) can reduce 1114 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (1114) ~ (all_0_20_20 = e2)
% 266.73/208.01 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (94), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (1287) all_0_16_16 = e3
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (1287,921) yields a new equation:
% 266.73/208.01 | (933) e3 = e1
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 933 yields:
% 266.73/208.01 | (706) e3 = e1
% 266.73/208.01 |
% 266.73/208.01 | Equations (706) can reduce 318 to:
% 266.73/208.01 | (366) $false
% 266.73/208.01 |
% 266.73/208.01 |-The branch is then unsatisfiable
% 266.73/208.01 |-Branch two:
% 266.73/208.01 | (458) ~ (all_0_16_16 = e3)
% 266.73/208.01 | (2460) all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 266.73/208.01 |
% 266.73/208.01 | Equations (921) can reduce 458 to:
% 266.73/208.01 | (429) ~ (e3 = e1)
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 429 yields:
% 266.73/208.01 | (318) ~ (e3 = e1)
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (721), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (940) all_0_24_24 = e1
% 266.73/208.01 |
% 266.73/208.01 | Equations (940) can reduce 668 to:
% 266.73/208.01 | (1002) ~ (e2 = e1)
% 266.73/208.01 |
% 266.73/208.01 | Simplifying 1002 yields:
% 266.73/208.01 | (329) ~ (e2 = e1)
% 266.73/208.01 |
% 266.73/208.01 +-Applying beta-rule and splitting (10030), into two cases.
% 266.73/208.01 |-Branch one:
% 266.73/208.01 | (3159) all_0_25_25 = e2
% 266.73/208.01 |
% 266.73/208.01 | Combining equations (1921,3159) yields a new equation:
% 266.73/208.01 | (551) e2 = e0
% 266.73/208.01 |
% 266.73/208.02 | Equations (551) can reduce 347 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (646) ~ (all_0_25_25 = e2)
% 266.73/208.02 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (16274), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (747) all_0_30_30 = e2
% 266.73/208.02 |
% 266.73/208.02 | Combining equations (747,787) yields a new equation:
% 266.73/208.02 | (717) e2 = e1
% 266.73/208.02 |
% 266.73/208.02 | Simplifying 717 yields:
% 266.73/208.02 | (718) e2 = e1
% 266.73/208.02 |
% 266.73/208.02 | Equations (718) can reduce 329 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (740) ~ (all_0_30_30 = e2)
% 266.73/208.02 | (797) all_0_35_35 = e2
% 266.73/208.02 |
% 266.73/208.02 | Combining equations (797,1161) yields a new equation:
% 266.73/208.02 | (539) e4 = e2
% 266.73/208.02 |
% 266.73/208.02 | Equations (539) can reduce 19 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (943) ~ (all_0_24_24 = e1)
% 266.73/208.02 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (944), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (945) all_0_29_29 = e1
% 266.73/208.02 |
% 266.73/208.02 | Combining equations (1023,945) yields a new equation:
% 266.73/208.02 | (933) e3 = e1
% 266.73/208.02 |
% 266.73/208.02 | Simplifying 933 yields:
% 266.73/208.02 | (706) e3 = e1
% 266.73/208.02 |
% 266.73/208.02 | Equations (706) can reduce 318 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (952) ~ (all_0_29_29 = e1)
% 266.73/208.02 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 266.73/208.02 |
% 266.73/208.02 | Equations (1023) can reduce 952 to:
% 266.73/208.02 | (318) ~ (e3 = e1)
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (4682), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (526) all_0_21_21 = e1
% 266.73/208.02 |
% 266.73/208.02 | Combining equations (526,449) yields a new equation:
% 266.73/208.02 | (480) e4 = e1
% 266.73/208.02 |
% 266.73/208.02 | Equations (480) can reduce 65 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (363) ~ (all_0_21_21 = e1)
% 266.73/208.02 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (4688), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (999) all_0_22_22 = e1
% 266.73/208.02 |
% 266.73/208.02 | Combining equations (999,847) yields a new equation:
% 266.73/208.02 | (960) e1 = e0
% 266.73/208.02 |
% 266.73/208.02 | Simplifying 960 yields:
% 266.73/208.02 | (961) e1 = e0
% 266.73/208.02 |
% 266.73/208.02 | Equations (961) can reduce 37 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (1018) ~ (all_0_22_22 = e1)
% 266.73/208.02 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (5033), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (3952) all_0_23_23 = e1
% 266.73/208.02 |
% 266.73/208.02 | Combining equations (3952,978) yields a new equation:
% 266.73/208.02 | (706) e3 = e1
% 266.73/208.02 |
% 266.73/208.02 | Equations (706) can reduce 318 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (420) ~ (all_0_23_23 = e1)
% 266.73/208.02 | (940) all_0_24_24 = e1
% 266.73/208.02 |
% 266.73/208.02 | Equations (940) can reduce 943 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (985) ~ (all_0_16_16 = e1)
% 266.73/208.02 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (704), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (1287) all_0_16_16 = e3
% 266.73/208.02 |
% 266.73/208.02 | Equations (1287) can reduce 458 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (458) ~ (all_0_16_16 = e3)
% 266.73/208.02 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (1290), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (697) all_0_16_16 = e2
% 266.73/208.02 |
% 266.73/208.02 | Equations (697) can reduce 664 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (664) ~ (all_0_16_16 = e2)
% 266.73/208.02 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (1377), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (921) all_0_16_16 = e1
% 266.73/208.02 |
% 266.73/208.02 | Equations (921) can reduce 985 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (985) ~ (all_0_16_16 = e1)
% 266.73/208.02 | (873) all_0_16_16 = e0
% 266.73/208.02 |
% 266.73/208.02 | Equations (873) can reduce 824 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (826) ~ (all_0_22_22 = e0)
% 266.73/208.02 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (704), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (1287) all_0_16_16 = e3
% 266.73/208.02 |
% 266.73/208.02 | Equations (1287) can reduce 458 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (458) ~ (all_0_16_16 = e3)
% 266.73/208.02 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (709), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (921) all_0_16_16 = e1
% 266.73/208.02 |
% 266.73/208.02 | Equations (921) can reduce 824 to:
% 266.73/208.02 | (37) ~ (e1 = e0)
% 266.73/208.02 |
% 266.73/208.02 +-Applying beta-rule and splitting (14957), into two cases.
% 266.73/208.02 |-Branch one:
% 266.73/208.02 | (21915) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)
% 266.73/208.02 |
% 266.73/208.02 | Applying alpha-rule on (21915) yields:
% 266.73/208.02 | (20681) all_0_5_5 = all_0_32_32
% 266.73/208.02 | (1089) ~ (all_0_32_32 = e3)
% 266.73/208.02 |
% 266.73/208.02 | Combining equations (20681,8806) yields a new equation:
% 266.73/208.02 | (21918) all_0_32_32 = e3
% 266.73/208.02 |
% 266.73/208.02 | Simplifying 21918 yields:
% 266.73/208.02 | (772) all_0_32_32 = e3
% 266.73/208.02 |
% 266.73/208.02 | Equations (772) can reduce 1089 to:
% 266.73/208.02 | (366) $false
% 266.73/208.02 |
% 266.73/208.02 |-The branch is then unsatisfiable
% 266.73/208.02 |-Branch two:
% 266.73/208.02 | (21921) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 266.73/208.02 |
% 266.73/208.02 | Applying alpha-rule on (21921) yields:
% 266.73/208.02 | (20681) all_0_5_5 = all_0_32_32
% 266.73/208.03 | (21923) ( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (20681,8806) yields a new equation:
% 266.73/208.03 | (21918) all_0_32_32 = e3
% 266.73/208.03 |
% 266.73/208.03 | Simplifying 21918 yields:
% 266.73/208.03 | (772) all_0_32_32 = e3
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (3101), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (546) all_0_27_27 = e0
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (543,546) yields a new equation:
% 266.73/208.03 | (960) e1 = e0
% 266.73/208.03 |
% 266.73/208.03 | Simplifying 960 yields:
% 266.73/208.03 | (961) e1 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (961) can reduce 37 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (434) ~ (all_0_27_27 = e0)
% 266.73/208.03 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (3107), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (1626) all_0_32_32 = e0
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (772,1626) yields a new equation:
% 266.73/208.03 | (979) e3 = e0
% 266.73/208.03 |
% 266.73/208.03 | Simplifying 979 yields:
% 266.73/208.03 | (980) e3 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (980) can reduce 88 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (1946) ~ (all_0_32_32 = e0)
% 266.73/208.03 | (3111) all_0_37_37 = e0
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (805,3111) yields a new equation:
% 266.73/208.03 | (836) e2 = e0
% 266.73/208.03 |
% 266.73/208.03 | Simplifying 836 yields:
% 266.73/208.03 | (551) e2 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (551) can reduce 347 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (985) ~ (all_0_16_16 = e1)
% 266.73/208.03 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (228), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (921) all_0_16_16 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (921) can reduce 985 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (985) ~ (all_0_16_16 = e1)
% 266.73/208.03 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (1290), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (697) all_0_16_16 = e2
% 266.73/208.03 |
% 266.73/208.03 | Equations (697) can reduce 664 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (664) ~ (all_0_16_16 = e2)
% 266.73/208.03 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (1377), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (921) all_0_16_16 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (921) can reduce 985 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (985) ~ (all_0_16_16 = e1)
% 266.73/208.03 | (873) all_0_16_16 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (873) can reduce 824 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (982) ~ (all_0_23_23 = e3)
% 266.73/208.03 | (939) all_0_24_24 = e3
% 266.73/208.03 |
% 266.73/208.03 | Equations (939) can reduce 963 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (1089) ~ (all_0_32_32 = e3)
% 266.73/208.03 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (1618), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (1101) all_0_32_32 = e2
% 266.73/208.03 |
% 266.73/208.03 | Equations (1101) can reduce 508 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (508) ~ (all_0_32_32 = e2)
% 266.73/208.03 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (1622), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (1587) all_0_32_32 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (1587) can reduce 424 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (424) ~ (all_0_32_32 = e1)
% 266.73/208.03 | (1626) all_0_32_32 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (1626) can reduce 1946 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (515) ~ (all_0_37_37 = e2)
% 266.73/208.03 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (808), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (809) all_0_38_38 = e2
% 266.73/208.03 |
% 266.73/208.03 | Equations (809) can reduce 1084 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (1084) ~ (all_0_38_38 = e2)
% 266.73/208.03 | (373) all_0_39_39 = e2
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (380,373) yields a new equation:
% 266.73/208.03 | (551) e2 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (551) can reduce 347 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (647) ~ (all_0_26_26 = e2)
% 266.73/208.03 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (5361), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (1005) all_0_26_26 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (1005) can reduce 1008 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (1008) ~ (all_0_26_26 = e1)
% 266.73/208.03 | (883) all_0_26_26 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (883) can reduce 1058 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (898) ~ (all_0_29_29 = e3)
% 266.73/208.03 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (5409), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (4103) all_0_29_29 = e2
% 266.73/208.03 |
% 266.73/208.03 | Equations (4103) can reduce 651 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (651) ~ (all_0_29_29 = e2)
% 266.73/208.03 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (5413), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (945) all_0_29_29 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (945) can reduce 952 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (952) ~ (all_0_29_29 = e1)
% 266.73/208.03 | (2537) all_0_29_29 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (2537) can reduce 383 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (890) ~ (all_0_28_28 = e4)
% 266.73/208.03 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (1522), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (406) all_0_33_33 = e4
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (414,406) yields a new equation:
% 266.73/208.03 | (539) e4 = e2
% 266.73/208.03 |
% 266.73/208.03 | Equations (539) can reduce 19 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (405) ~ (all_0_33_33 = e4)
% 266.73/208.03 | (1165) all_0_38_38 = e4
% 266.73/208.03 |
% 266.73/208.03 | Equations (1165) can reduce 1143 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (422) ~ (all_0_30_30 = e1)
% 266.73/208.03 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (323), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (476) all_0_15_15 = e1
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (468,476) yields a new equation:
% 266.73/208.03 | (933) e3 = e1
% 266.73/208.03 |
% 266.73/208.03 | Simplifying 933 yields:
% 266.73/208.03 | (706) e3 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (706) can reduce 318 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (482) ~ (all_0_15_15 = e1)
% 266.73/208.03 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (709), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (921) all_0_16_16 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (921) can reduce 573 to:
% 266.73/208.03 | (477) ~ (e4 = e1)
% 266.73/208.03 |
% 266.73/208.03 | Simplifying 477 yields:
% 266.73/208.03 | (65) ~ (e4 = e1)
% 266.73/208.03 |
% 266.73/208.03 | Equations (921) can reduce 664 to:
% 266.73/208.03 | (1002) ~ (e2 = e1)
% 266.73/208.03 |
% 266.73/208.03 | Simplifying 1002 yields:
% 266.73/208.03 | (329) ~ (e2 = e1)
% 266.73/208.03 |
% 266.73/208.03 | Equations (921) can reduce 824 to:
% 266.73/208.03 | (37) ~ (e1 = e0)
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (16), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (1196) all_0_35_35 = e1
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (1161,1196) yields a new equation:
% 266.73/208.03 | (955) e4 = e1
% 266.73/208.03 |
% 266.73/208.03 | Simplifying 955 yields:
% 266.73/208.03 | (480) e4 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (480) can reduce 65 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (1177) ~ (all_0_35_35 = e1)
% 266.73/208.03 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 266.73/208.03 |
% 266.73/208.03 | Equations (1161) can reduce 1177 to:
% 266.73/208.03 | (65) ~ (e4 = e1)
% 266.73/208.03 |
% 266.73/208.03 +-Applying beta-rule and splitting (5570), into two cases.
% 266.73/208.03 |-Branch one:
% 266.73/208.03 | (1010) all_0_31_31 = e1
% 266.73/208.03 |
% 266.73/208.03 | Combining equations (1060,1010) yields a new equation:
% 266.73/208.03 | (961) e1 = e0
% 266.73/208.03 |
% 266.73/208.03 | Equations (961) can reduce 37 to:
% 266.73/208.03 | (366) $false
% 266.73/208.03 |
% 266.73/208.03 |-The branch is then unsatisfiable
% 266.73/208.03 |-Branch two:
% 266.73/208.03 | (423) ~ (all_0_31_31 = e1)
% 266.73/208.04 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (5940), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (1587) all_0_32_32 = e1
% 266.73/208.04 |
% 266.73/208.04 | Equations (1587) can reduce 424 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (424) ~ (all_0_32_32 = e1)
% 266.73/208.04 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (5953), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (418) all_0_33_33 = e1
% 266.73/208.04 |
% 266.73/208.04 | Combining equations (414,418) yields a new equation:
% 266.73/208.04 | (717) e2 = e1
% 266.73/208.04 |
% 266.73/208.04 | Simplifying 717 yields:
% 266.73/208.04 | (718) e2 = e1
% 266.73/208.04 |
% 266.73/208.04 | Equations (718) can reduce 329 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (507) ~ (all_0_33_33 = e1)
% 266.73/208.04 | (954) all_0_34_34 = e1
% 266.73/208.04 |
% 266.73/208.04 | Combining equations (954,723) yields a new equation:
% 266.73/208.04 | (480) e4 = e1
% 266.73/208.04 |
% 266.73/208.04 | Equations (480) can reduce 65 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (985) ~ (all_0_16_16 = e1)
% 266.73/208.04 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (1373), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (1498) all_0_17_17 = e1
% 266.73/208.04 |
% 266.73/208.04 | Combining equations (865,1498) yields a new equation:
% 266.73/208.04 | (955) e4 = e1
% 266.73/208.04 |
% 266.73/208.04 | Simplifying 955 yields:
% 266.73/208.04 | (480) e4 = e1
% 266.73/208.04 |
% 266.73/208.04 | Equations (480) can reduce 65 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (1501) ~ (all_0_17_17 = e1)
% 266.73/208.04 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (1681), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (1278) all_0_18_18 = e1
% 266.73/208.04 |
% 266.73/208.04 | Combining equations (1153,1278) yields a new equation:
% 266.73/208.04 | (961) e1 = e0
% 266.73/208.04 |
% 266.73/208.04 | Equations (961) can reduce 37 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (419) ~ (all_0_18_18 = e1)
% 266.73/208.04 | (716) all_0_19_19 = e1
% 266.73/208.04 |
% 266.73/208.04 | Combining equations (663,716) yields a new equation:
% 266.73/208.04 | (717) e2 = e1
% 266.73/208.04 |
% 266.73/208.04 | Simplifying 717 yields:
% 266.73/208.04 | (718) e2 = e1
% 266.73/208.04 |
% 266.73/208.04 | Equations (718) can reduce 329 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (1064) ~ (all_0_31_31 = e0)
% 266.73/208.04 | (1065) all_0_36_36 = e0
% 266.73/208.04 |
% 266.73/208.04 | Equations (1065) can reduce 386 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (1925) ~ (all_0_25_25 = e0)
% 266.73/208.04 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (1926), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (883) all_0_26_26 = e0
% 266.73/208.04 |
% 266.73/208.04 | Equations (883) can reduce 128 to:
% 266.73/208.04 | (1925) ~ (all_0_25_25 = e0)
% 266.73/208.04 |
% 266.73/208.04 | Equations (883) can reduce 46 to:
% 266.73/208.04 | (885) ~ (all_0_28_28 = e0)
% 266.73/208.04 |
% 266.73/208.04 | Simplifying 885 yields:
% 266.73/208.04 | (886) ~ (all_0_28_28 = e0)
% 266.73/208.04 |
% 266.73/208.04 | Equations (883) can reduce 582 to:
% 266.73/208.04 | (389) ~ (e4 = e0)
% 266.73/208.04 |
% 266.73/208.04 | Simplifying 389 yields:
% 266.73/208.04 | (287) ~ (e4 = e0)
% 266.73/208.04 |
% 266.73/208.04 | From (883) and (195) follows:
% 266.73/208.04 | (5161) op(e2, e3) = e0
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (15009), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (18710) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)
% 266.73/208.04 |
% 266.73/208.04 | Applying alpha-rule on (18710) yields:
% 266.73/208.04 | (18221) all_0_8_8 = all_0_28_28
% 266.73/208.04 | (1035) ~ (all_0_28_28 = e3)
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (338), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (892) all_0_28_28 = e4
% 266.73/208.04 |
% 266.73/208.04 | Equations (892) can reduce 193 to:
% 266.73/208.04 | (501) ~ (all_0_25_25 = e4)
% 266.73/208.04 |
% 266.73/208.04 | Equations (892) can reduce 73 to:
% 266.73/208.04 | (2797) ~ (all_0_29_29 = e4)
% 266.73/208.04 |
% 266.73/208.04 | Simplifying 2797 yields:
% 266.73/208.04 | (724) ~ (all_0_29_29 = e4)
% 266.73/208.04 |
% 266.73/208.04 | Equations (892) can reduce 1035 to:
% 266.73/208.04 | (277) ~ (e4 = e3)
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (165), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (1161) all_0_35_35 = e4
% 266.73/208.04 |
% 266.73/208.04 | Equations (1161) can reduce 98 to:
% 266.73/208.04 | (501) ~ (all_0_25_25 = e4)
% 266.73/208.04 |
% 266.73/208.04 | Equations (1161) can reduce 385 to:
% 266.73/208.04 | (287) ~ (e4 = e0)
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (245), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (1158) all_0_25_25 = e4
% 266.73/208.04 |
% 266.73/208.04 | Equations (1158) can reduce 501 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (501) ~ (all_0_25_25 = e4)
% 266.73/208.04 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (242), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (711) all_0_19_19 = e4
% 266.73/208.04 |
% 266.73/208.04 | Equations (711) can reduce 714 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (714) ~ (all_0_19_19 = e4)
% 266.73/208.04 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (3136), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (2438) all_0_25_25 = e3
% 266.73/208.04 |
% 266.73/208.04 | Equations (2438) can reduce 566 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (566) ~ (all_0_25_25 = e3)
% 266.73/208.04 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (715), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (685) all_0_24_24 = e4
% 266.73/208.04 |
% 266.73/208.04 | Equations (685) can reduce 580 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (580) ~ (all_0_24_24 = e4)
% 266.73/208.04 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (1400), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (1250) all_0_29_29 = e4
% 266.73/208.04 |
% 266.73/208.04 | Equations (1250) can reduce 724 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (724) ~ (all_0_29_29 = e4)
% 266.73/208.04 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (1735), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (723) all_0_34_34 = e4
% 266.73/208.04 |
% 266.73/208.04 | Equations (723) can reduce 672 to:
% 266.73/208.04 | (19) ~ (e4 = e2)
% 266.73/208.04 |
% 266.73/208.04 | Equations (723) can reduce 384 to:
% 266.73/208.04 | (287) ~ (e4 = e0)
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (168), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (2438) all_0_25_25 = e3
% 266.73/208.04 |
% 266.73/208.04 | Equations (2438) can reduce 566 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (566) ~ (all_0_25_25 = e3)
% 266.73/208.04 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (2442), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (2443) all_0_26_26 = e3
% 266.73/208.04 |
% 266.73/208.04 | Combining equations (883,2443) yields a new equation:
% 266.73/208.04 | (980) e3 = e0
% 266.73/208.04 |
% 266.73/208.04 | Equations (980) can reduce 88 to:
% 266.73/208.04 | (366) $false
% 266.73/208.04 |
% 266.73/208.04 |-The branch is then unsatisfiable
% 266.73/208.04 |-Branch two:
% 266.73/208.04 | (504) ~ (all_0_26_26 = e3)
% 266.73/208.04 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.73/208.04 |
% 266.73/208.04 | Equations (883) can reduce 504 to:
% 266.73/208.04 | (391) ~ (e3 = e0)
% 266.73/208.04 |
% 266.73/208.04 | Simplifying 391 yields:
% 266.73/208.04 | (88) ~ (e3 = e0)
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (3158), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (3159) all_0_25_25 = e2
% 266.73/208.04 |
% 266.73/208.04 | Equations (3159) can reduce 501 to:
% 266.73/208.04 | (444) ~ (e4 = e2)
% 266.73/208.04 |
% 266.73/208.04 | Simplifying 444 yields:
% 266.73/208.04 | (19) ~ (e4 = e2)
% 266.73/208.04 |
% 266.73/208.04 | From (3159) and (1273) follows:
% 266.73/208.04 | (18457) op(e4, e2) = e2
% 266.73/208.04 |
% 266.73/208.04 +-Applying beta-rule and splitting (19152), into two cases.
% 266.73/208.04 |-Branch one:
% 266.73/208.04 | (19153) ~ (op(e4, e2) = e2)
% 266.73/208.04 |
% 266.73/208.05 | Using (18457) and (19153) yields:
% 266.73/208.05 | (821) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (18457) op(e4, e2) = e2
% 266.73/208.05 | (539) e4 = e2
% 266.73/208.05 |
% 266.73/208.05 | Equations (539) can reduce 19 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (646) ~ (all_0_25_25 = e2)
% 266.73/208.05 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (162), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (472) all_0_15_15 = e2
% 266.73/208.05 |
% 266.73/208.05 | Combining equations (472,468) yields a new equation:
% 266.73/208.05 | (764) e3 = e2
% 266.73/208.05 |
% 266.73/208.05 | Equations (764) can reduce 56 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (447) ~ (all_0_15_15 = e2)
% 266.73/208.05 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (2921), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (736) all_0_20_20 = e2
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (206), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (483) all_0_15_15 = e0
% 266.73/208.05 |
% 266.73/208.05 | Combining equations (483,468) yields a new equation:
% 266.73/208.05 | (980) e3 = e0
% 266.73/208.05 |
% 266.73/208.05 | Equations (980) can reduce 88 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (463) ~ (all_0_15_15 = e0)
% 266.73/208.05 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (1889), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (835) all_0_20_20 = e0
% 266.73/208.05 |
% 266.73/208.05 | Combining equations (736,835) yields a new equation:
% 266.73/208.05 | (836) e2 = e0
% 266.73/208.05 |
% 266.73/208.05 | Simplifying 836 yields:
% 266.73/208.05 | (551) e2 = e0
% 266.73/208.05 |
% 266.73/208.05 | Equations (551) can reduce 347 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (839) ~ (all_0_20_20 = e0)
% 266.73/208.05 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (1920), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (1921) all_0_25_25 = e0
% 266.73/208.05 |
% 266.73/208.05 | Equations (1921) can reduce 1925 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (1925) ~ (all_0_25_25 = e0)
% 266.73/208.05 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (1938), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (790) all_0_30_30 = e0
% 266.73/208.05 |
% 266.73/208.05 | Equations (790) can reduce 58 to:
% 266.73/208.05 | (1925) ~ (all_0_25_25 = e0)
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (3162), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (950) all_0_25_25 = e1
% 266.73/208.05 |
% 266.73/208.05 | Equations (950) can reduce 946 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (946) ~ (all_0_25_25 = e1)
% 266.73/208.05 | (1921) all_0_25_25 = e0
% 266.73/208.05 |
% 266.73/208.05 | Equations (1921) can reduce 1925 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (1878) ~ (all_0_30_30 = e0)
% 266.73/208.05 | (1203) all_0_35_35 = e0
% 266.73/208.05 |
% 266.73/208.05 | Combining equations (1161,1203) yields a new equation:
% 266.73/208.05 | (842) e4 = e0
% 266.73/208.05 |
% 266.73/208.05 | Simplifying 842 yields:
% 266.73/208.05 | (490) e4 = e0
% 266.73/208.05 |
% 266.73/208.05 | Equations (490) can reduce 287 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (1114) ~ (all_0_20_20 = e2)
% 266.73/208.05 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (10030), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (3159) all_0_25_25 = e2
% 266.73/208.05 |
% 266.73/208.05 | Equations (3159) can reduce 646 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (646) ~ (all_0_25_25 = e2)
% 266.73/208.05 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (16274), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (747) all_0_30_30 = e2
% 266.73/208.05 |
% 266.73/208.05 | Equations (747) can reduce 740 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (740) ~ (all_0_30_30 = e2)
% 266.73/208.05 | (797) all_0_35_35 = e2
% 266.73/208.05 |
% 266.73/208.05 | Combining equations (1161,797) yields a new equation:
% 266.73/208.05 | (1111) e4 = e2
% 266.73/208.05 |
% 266.73/208.05 | Simplifying 1111 yields:
% 266.73/208.05 | (539) e4 = e2
% 266.73/208.05 |
% 266.73/208.05 | Equations (539) can reduce 19 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (1395) ~ (all_0_34_34 = e4)
% 266.73/208.05 | (365) all_0_39_39 = e4
% 266.73/208.05 |
% 266.73/208.05 | Combining equations (365,380) yields a new equation:
% 266.73/208.05 | (842) e4 = e0
% 266.73/208.05 |
% 266.73/208.05 | Simplifying 842 yields:
% 266.73/208.05 | (490) e4 = e0
% 266.73/208.05 |
% 266.73/208.05 | Equations (490) can reduce 287 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (514) ~ (all_0_35_35 = e4)
% 266.73/208.05 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (245), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (1158) all_0_25_25 = e4
% 266.73/208.05 |
% 266.73/208.05 | Equations (1158) can reduce 501 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (501) ~ (all_0_25_25 = e4)
% 266.73/208.05 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (3136), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (2438) all_0_25_25 = e3
% 266.73/208.05 |
% 266.73/208.05 | Equations (2438) can reduce 566 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (566) ~ (all_0_25_25 = e3)
% 266.73/208.05 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (8), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (464) all_0_15_15 = e4
% 266.73/208.05 |
% 266.73/208.05 | Combining equations (464,468) yields a new equation:
% 266.73/208.05 | (690) e4 = e3
% 266.73/208.05 |
% 266.73/208.05 | Simplifying 690 yields:
% 266.73/208.05 | (691) e4 = e3
% 266.73/208.05 |
% 266.73/208.05 | Equations (691) can reduce 277 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (460) ~ (all_0_15_15 = e4)
% 266.73/208.05 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (914), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (1453) all_0_20_20 = e4
% 266.73/208.05 |
% 266.73/208.05 | Equations (1453) can reduce 496 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (496) ~ (all_0_20_20 = e4)
% 266.73/208.05 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (3158), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (3159) all_0_25_25 = e2
% 266.73/208.05 |
% 266.73/208.05 | Equations (3159) can reduce 58 to:
% 266.73/208.05 | (739) ~ (all_0_30_30 = e2)
% 266.73/208.05 |
% 266.73/208.05 | Simplifying 739 yields:
% 266.73/208.05 | (740) ~ (all_0_30_30 = e2)
% 266.73/208.05 |
% 266.73/208.05 | Equations (3159) can reduce 501 to:
% 266.73/208.05 | (444) ~ (e4 = e2)
% 266.73/208.05 |
% 266.73/208.05 | Simplifying 444 yields:
% 266.73/208.05 | (19) ~ (e4 = e2)
% 266.73/208.05 |
% 266.73/208.05 | From (3159) and (1273) follows:
% 266.73/208.05 | (18457) op(e4, e2) = e2
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (1456), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (1158) all_0_25_25 = e4
% 266.73/208.05 |
% 266.73/208.05 | Combining equations (3159,1158) yields a new equation:
% 266.73/208.05 | (539) e4 = e2
% 266.73/208.05 |
% 266.73/208.05 | Equations (539) can reduce 19 to:
% 266.73/208.05 | (366) $false
% 266.73/208.05 |
% 266.73/208.05 |-The branch is then unsatisfiable
% 266.73/208.05 |-Branch two:
% 266.73/208.05 | (501) ~ (all_0_25_25 = e4)
% 266.73/208.05 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (1460), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (768) all_0_30_30 = e4
% 266.73/208.05 |
% 266.73/208.05 | Equations (768) can reduce 740 to:
% 266.73/208.05 | (19) ~ (e4 = e2)
% 266.73/208.05 |
% 266.73/208.05 +-Applying beta-rule and splitting (19152), into two cases.
% 266.73/208.05 |-Branch one:
% 266.73/208.05 | (19153) ~ (op(e4, e2) = e2)
% 266.73/208.06 |
% 266.73/208.06 | Using (18457) and (19153) yields:
% 266.73/208.06 | (821) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (18457) op(e4, e2) = e2
% 266.73/208.06 | (539) e4 = e2
% 266.73/208.06 |
% 266.73/208.06 | Equations (539) can reduce 19 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (509) ~ (all_0_30_30 = e4)
% 266.73/208.06 | (1161) all_0_35_35 = e4
% 266.73/208.06 |
% 266.73/208.06 | Equations (1161) can reduce 514 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (646) ~ (all_0_25_25 = e2)
% 266.73/208.06 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (3162), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (950) all_0_25_25 = e1
% 266.73/208.06 |
% 266.73/208.06 | Equations (950) can reduce 946 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (946) ~ (all_0_25_25 = e1)
% 266.73/208.06 | (1921) all_0_25_25 = e0
% 266.73/208.06 |
% 266.73/208.06 | Equations (1921) can reduce 1925 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (890) ~ (all_0_28_28 = e4)
% 266.73/208.06 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (895), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (896) all_0_28_28 = e3
% 266.73/208.06 |
% 266.73/208.06 | Equations (896) can reduce 1035 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (1035) ~ (all_0_28_28 = e3)
% 266.73/208.06 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (1051), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (1515) all_0_23_23 = e4
% 266.73/208.06 |
% 266.73/208.06 | Equations (1515) can reduce 578 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (578) ~ (all_0_23_23 = e4)
% 266.73/208.06 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (1518), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (892) all_0_28_28 = e4
% 266.73/208.06 |
% 266.73/208.06 | Equations (892) can reduce 890 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (890) ~ (all_0_28_28 = e4)
% 266.73/208.06 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (1522), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (406) all_0_33_33 = e4
% 266.73/208.06 |
% 266.73/208.06 | Combining equations (406,414) yields a new equation:
% 266.73/208.06 | (1111) e4 = e2
% 266.73/208.06 |
% 266.73/208.06 | Simplifying 1111 yields:
% 266.73/208.06 | (539) e4 = e2
% 266.73/208.06 |
% 266.73/208.06 | Equations (539) can reduce 19 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (405) ~ (all_0_33_33 = e4)
% 266.73/208.06 | (1165) all_0_38_38 = e4
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (8300), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (3952) all_0_23_23 = e1
% 266.73/208.06 |
% 266.73/208.06 | Equations (3952) can reduce 86 to:
% 266.73/208.06 | (4011) ~ (all_0_28_28 = e1)
% 266.73/208.06 |
% 266.73/208.06 | Simplifying 4011 yields:
% 266.73/208.06 | (421) ~ (all_0_28_28 = e1)
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (1036), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (1037) all_0_28_28 = e2
% 266.73/208.06 |
% 266.73/208.06 | Equations (1037) can reduce 649 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (649) ~ (all_0_28_28 = e2)
% 266.73/208.06 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (1040), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (1041) all_0_28_28 = e1
% 266.73/208.06 |
% 266.73/208.06 | Equations (1041) can reduce 421 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (421) ~ (all_0_28_28 = e1)
% 266.73/208.06 | (1044) all_0_28_28 = e0
% 266.73/208.06 |
% 266.73/208.06 | Equations (1044) can reduce 886 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (420) ~ (all_0_23_23 = e1)
% 266.73/208.06 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (17548), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (1041) all_0_28_28 = e1
% 266.73/208.06 |
% 266.73/208.06 | Equations (1041) can reduce 421 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (421) ~ (all_0_28_28 = e1)
% 266.73/208.06 | (17553) all_0_33_33 = e1 | all_0_38_38 = e1
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (17553), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (418) all_0_33_33 = e1
% 266.73/208.06 |
% 266.73/208.06 | Combining equations (414,418) yields a new equation:
% 266.73/208.06 | (717) e2 = e1
% 266.73/208.06 |
% 266.73/208.06 | Simplifying 717 yields:
% 266.73/208.06 | (718) e2 = e1
% 266.73/208.06 |
% 266.73/208.06 | Equations (718) can reduce 329 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (507) ~ (all_0_33_33 = e1)
% 266.73/208.06 | (1211) all_0_38_38 = e1
% 266.73/208.06 |
% 266.73/208.06 | Combining equations (1165,1211) yields a new equation:
% 266.73/208.06 | (955) e4 = e1
% 266.73/208.06 |
% 266.73/208.06 | Simplifying 955 yields:
% 266.73/208.06 | (480) e4 = e1
% 266.73/208.06 |
% 266.73/208.06 | Equations (480) can reduce 65 to:
% 266.73/208.06 | (366) $false
% 266.73/208.06 |
% 266.73/208.06 |-The branch is then unsatisfiable
% 266.73/208.06 |-Branch two:
% 266.73/208.06 | (18816) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.73/208.06 |
% 266.73/208.06 | Applying alpha-rule on (18816) yields:
% 266.73/208.06 | (18221) all_0_8_8 = all_0_28_28
% 266.73/208.06 | (18818) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.73/208.06 |
% 266.73/208.06 +-Applying beta-rule and splitting (165), into two cases.
% 266.73/208.06 |-Branch one:
% 266.73/208.06 | (1161) all_0_35_35 = e4
% 266.73/208.07 |
% 266.73/208.07 | Equations (1161) can reduce 98 to:
% 266.73/208.07 | (501) ~ (all_0_25_25 = e4)
% 266.73/208.07 |
% 266.73/208.07 | Equations (1161) can reduce 96 to:
% 266.73/208.07 | (509) ~ (all_0_30_30 = e4)
% 266.73/208.07 |
% 266.73/208.07 +-Applying beta-rule and splitting (327), into two cases.
% 266.73/208.07 |-Branch one:
% 266.73/208.07 | (768) all_0_30_30 = e4
% 266.73/208.07 |
% 266.73/208.07 | Equations (768) can reduce 509 to:
% 266.73/208.07 | (366) $false
% 266.73/208.07 |
% 266.73/208.07 |-The branch is then unsatisfiable
% 266.73/208.07 |-Branch two:
% 266.73/208.07 | (509) ~ (all_0_30_30 = e4)
% 266.73/208.07 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.73/208.07 |
% 266.73/208.07 +-Applying beta-rule and splitting (1437), into two cases.
% 266.73/208.07 |-Branch one:
% 266.73/208.07 | (1446) all_0_31_31 = e4
% 266.73/208.07 |
% 266.73/208.07 | Equations (1446) can reduce 584 to:
% 266.73/208.07 | (366) $false
% 266.73/208.07 |
% 266.73/208.07 |-The branch is then unsatisfiable
% 266.73/208.07 |-Branch two:
% 266.73/208.07 | (584) ~ (all_0_31_31 = e4)
% 266.73/208.07 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.73/208.07 |
% 266.73/208.07 +-Applying beta-rule and splitting (245), into two cases.
% 266.73/208.07 |-Branch one:
% 266.73/208.07 | (1158) all_0_25_25 = e4
% 266.73/208.07 |
% 266.73/208.07 | Equations (1158) can reduce 501 to:
% 266.73/208.07 | (366) $false
% 266.73/208.07 |
% 266.73/208.07 |-The branch is then unsatisfiable
% 266.73/208.07 |-Branch two:
% 266.73/208.07 | (501) ~ (all_0_25_25 = e4)
% 266.73/208.07 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.73/208.07 |
% 266.73/208.07 +-Applying beta-rule and splitting (3136), into two cases.
% 266.73/208.07 |-Branch one:
% 266.73/208.07 | (2438) all_0_25_25 = e3
% 266.73/208.07 |
% 266.73/208.07 | Equations (2438) can reduce 566 to:
% 266.73/208.07 | (366) $false
% 266.73/208.07 |
% 266.73/208.07 |-The branch is then unsatisfiable
% 266.73/208.07 |-Branch two:
% 266.73/208.07 | (566) ~ (all_0_25_25 = e3)
% 266.73/208.07 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.73/208.07 |
% 266.73/208.07 +-Applying beta-rule and splitting (3158), into two cases.
% 266.73/208.07 |-Branch one:
% 266.73/208.07 | (3159) all_0_25_25 = e2
% 266.73/208.07 |
% 266.73/208.07 | Equations (3159) can reduce 501 to:
% 266.73/208.07 | (444) ~ (e4 = e2)
% 266.73/208.07 |
% 266.73/208.07 | Simplifying 444 yields:
% 266.73/208.07 | (19) ~ (e4 = e2)
% 266.73/208.07 |
% 266.73/208.07 | From (3159) and (5082) follows:
% 266.73/208.07 | (3199) op(e2, e4) = e4
% 266.73/208.07 |
% 266.73/208.07 | From (3159) and (233) follows:
% 266.73/208.07 | (22469) op(e2, e4) = e2
% 266.73/208.07 |
% 266.73/208.07 +-Applying beta-rule and splitting (1449), into two cases.
% 266.73/208.07 |-Branch one:
% 266.73/208.07 | (1229) all_0_32_32 = e4
% 266.73/208.07 |
% 266.73/208.07 | Equations (1229) can reduce 727 to:
% 266.73/208.07 | (366) $false
% 266.73/208.07 |
% 266.73/208.07 |-The branch is then unsatisfiable
% 266.73/208.07 |-Branch two:
% 266.73/208.07 | (727) ~ (all_0_32_32 = e4)
% 266.73/208.07 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.73/208.07 |
% 266.73/208.07 +-Applying beta-rule and splitting (1476), into two cases.
% 266.73/208.07 |-Branch one:
% 266.73/208.07 | (406) all_0_33_33 = e4
% 266.73/208.07 |
% 266.73/208.07 | Combining equations (414,406) yields a new equation:
% 266.73/208.07 | (539) e4 = e2
% 266.73/208.07 |
% 266.73/208.07 | Equations (539) can reduce 19 to:
% 266.73/208.07 | (366) $false
% 266.73/208.07 |
% 266.73/208.07 |-The branch is then unsatisfiable
% 266.73/208.07 |-Branch two:
% 266.73/208.07 | (405) ~ (all_0_33_33 = e4)
% 266.73/208.07 | (723) all_0_34_34 = e4
% 266.73/208.07 |
% 266.73/208.07 | Equations (723) can reduce 672 to:
% 266.73/208.07 | (19) ~ (e4 = e2)
% 266.73/208.07 |
% 266.73/208.07 +-Applying beta-rule and splitting (285), into two cases.
% 266.73/208.07 |-Branch one:
% 266.73/208.07 | (1158) all_0_25_25 = e4
% 266.73/208.07 |
% 266.73/208.07 | Combining equations (3159,1158) yields a new equation:
% 266.73/208.07 | (539) e4 = e2
% 266.73/208.07 |
% 266.73/208.07 | Equations (539) can reduce 19 to:
% 266.73/208.07 | (366) $false
% 266.73/208.07 |
% 266.73/208.07 |-The branch is then unsatisfiable
% 266.73/208.07 |-Branch two:
% 266.73/208.07 | (501) ~ (all_0_25_25 = e4)
% 266.73/208.07 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 266.73/208.07 |
% 266.73/208.07 | Equations (3159) can reduce 501 to:
% 266.73/208.07 | (444) ~ (e4 = e2)
% 266.73/208.07 |
% 266.73/208.07 | Simplifying 444 yields:
% 266.73/208.07 | (19) ~ (e4 = e2)
% 266.73/208.07 |
% 266.82/208.07 +-Applying beta-rule and splitting (21450), into two cases.
% 266.82/208.07 |-Branch one:
% 266.82/208.07 | (3200) ~ (op(e2, e4) = e4)
% 266.82/208.07 |
% 266.82/208.07 | Using (3199) and (3200) yields:
% 266.82/208.07 | (821) $false
% 266.82/208.07 |
% 266.82/208.07 |-The branch is then unsatisfiable
% 266.82/208.07 |-Branch two:
% 266.82/208.07 | (3199) op(e2, e4) = e4
% 266.82/208.07 | (22490) e4 = e2 | ~ (op(e2, e4) = e2)
% 266.82/208.07 |
% 266.82/208.07 +-Applying beta-rule and splitting (22490), into two cases.
% 266.82/208.07 |-Branch one:
% 266.82/208.07 | (22491) ~ (op(e2, e4) = e2)
% 266.82/208.07 |
% 266.82/208.07 | Using (22469) and (22491) yields:
% 266.82/208.07 | (821) $false
% 266.82/208.07 |
% 266.82/208.07 |-The branch is then unsatisfiable
% 266.82/208.07 |-Branch two:
% 266.82/208.07 | (22469) op(e2, e4) = e2
% 266.82/208.07 | (539) e4 = e2
% 266.82/208.07 |
% 266.82/208.07 | Equations (539) can reduce 19 to:
% 266.82/208.07 | (366) $false
% 266.82/208.07 |
% 266.82/208.07 |-The branch is then unsatisfiable
% 266.82/208.07 |-Branch two:
% 266.82/208.07 | (646) ~ (all_0_25_25 = e2)
% 266.82/208.07 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.82/208.07 |
% 266.82/208.07 +-Applying beta-rule and splitting (3162), into two cases.
% 266.82/208.07 |-Branch one:
% 266.82/208.07 | (950) all_0_25_25 = e1
% 266.82/208.07 |
% 266.82/208.07 | Equations (950) can reduce 946 to:
% 266.82/208.07 | (366) $false
% 266.82/208.07 |
% 266.82/208.07 |-The branch is then unsatisfiable
% 266.82/208.07 |-Branch two:
% 266.82/208.07 | (946) ~ (all_0_25_25 = e1)
% 266.82/208.07 | (1921) all_0_25_25 = e0
% 266.82/208.07 |
% 266.82/208.07 | Equations (1921) can reduce 1925 to:
% 266.82/208.07 | (366) $false
% 266.82/208.07 |
% 266.82/208.07 |-The branch is then unsatisfiable
% 266.82/208.07 |-Branch two:
% 266.82/208.07 | (514) ~ (all_0_35_35 = e4)
% 266.82/208.07 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.82/208.07 |
% 266.82/208.07 +-Applying beta-rule and splitting (1164), into two cases.
% 266.82/208.07 |-Branch one:
% 266.82/208.07 | (2611) all_0_36_36 = e4
% 266.82/208.07 |
% 266.82/208.07 | Equations (2611) can reduce 586 to:
% 266.82/208.07 | (366) $false
% 266.82/208.07 |
% 266.82/208.07 |-The branch is then unsatisfiable
% 266.82/208.07 |-Branch two:
% 266.82/208.07 | (586) ~ (all_0_36_36 = e4)
% 266.82/208.07 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 266.82/208.07 |
% 266.82/208.07 +-Applying beta-rule and splitting (2633), into two cases.
% 266.82/208.07 |-Branch one:
% 266.82/208.07 | (1232) all_0_37_37 = e4
% 266.82/208.07 |
% 266.82/208.07 | Equations (1232) can reduce 2658 to:
% 266.82/208.07 | (366) $false
% 266.82/208.07 |
% 266.82/208.07 |-The branch is then unsatisfiable
% 266.82/208.07 |-Branch two:
% 266.82/208.07 | (2658) ~ (all_0_37_37 = e4)
% 266.82/208.07 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 266.82/208.07 |
% 266.82/208.07 +-Applying beta-rule and splitting (2659), into two cases.
% 266.82/208.07 |-Branch one:
% 266.82/208.07 | (1165) all_0_38_38 = e4
% 266.82/208.07 |
% 266.82/208.07 | Equations (1165) can reduce 198 to:
% 266.82/208.07 | (890) ~ (all_0_28_28 = e4)
% 266.82/208.07 |
% 266.82/208.07 +-Applying beta-rule and splitting (338), into two cases.
% 266.82/208.07 |-Branch one:
% 266.82/208.07 | (892) all_0_28_28 = e4
% 266.82/208.07 |
% 266.82/208.07 | Equations (892) can reduce 890 to:
% 266.82/208.07 | (366) $false
% 266.82/208.07 |
% 266.82/208.07 |-The branch is then unsatisfiable
% 266.82/208.07 |-Branch two:
% 266.82/208.07 | (890) ~ (all_0_28_28 = e4)
% 266.82/208.08 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.82/208.08 |
% 266.82/208.08 +-Applying beta-rule and splitting (895), into two cases.
% 266.82/208.08 |-Branch one:
% 266.82/208.08 | (896) all_0_28_28 = e3
% 266.82/208.08 |
% 266.82/208.08 +-Applying beta-rule and splitting (18818), into two cases.
% 266.82/208.08 |-Branch one:
% 266.82/208.08 | (20757) ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6
% 266.82/208.08 |
% 266.82/208.08 | Applying alpha-rule on (20757) yields:
% 266.82/208.08 | (20758) ~ (all_0_6_6 = e0)
% 266.82/208.08 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 266.82/208.08 |
% 266.82/208.08 | From (896) and (19549) follows:
% 266.82/208.08 | (20888) op(e2, e3) = all_0_6_6
% 266.82/208.08 |
% 266.82/208.08 | Instantiating formula (97) with e2, e3, all_0_6_6, e0 and discharging atoms op(e2, e3) = all_0_6_6, op(e2, e3) = e0, yields:
% 266.82/208.08 | (22524) all_0_6_6 = e0
% 266.82/208.08 |
% 266.82/208.08 | Equations (22524) can reduce 20758 to:
% 266.82/208.08 | (366) $false
% 266.82/208.08 |
% 266.82/208.08 |-The branch is then unsatisfiable
% 266.82/208.08 |-Branch two:
% 266.82/208.08 | (20912) ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.82/208.08 |
% 266.82/208.08 | Applying alpha-rule on (20912) yields:
% 266.82/208.08 | (20913) ~ (all_0_7_7 = e4)
% 266.82/208.08 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 266.82/208.08 |
% 266.82/208.08 | From (896)(896) and (19927) follows:
% 266.82/208.08 | (20915) op(e3, e3) = all_0_7_7
% 266.82/208.08 |
% 266.82/208.08 | Instantiating formula (97) with e3, e3, all_0_7_7, e4 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e4, yields:
% 266.82/208.08 | (20916) all_0_7_7 = e4
% 266.82/208.08 |
% 266.82/208.08 | Equations (20916) can reduce 20913 to:
% 266.82/208.08 | (366) $false
% 266.82/208.08 |
% 266.82/208.08 |-The branch is then unsatisfiable
% 266.82/208.08 |-Branch two:
% 266.82/208.08 | (1035) ~ (all_0_28_28 = e3)
% 266.82/208.08 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.82/208.09 |
% 266.82/208.09 +-Applying beta-rule and splitting (1036), into two cases.
% 266.82/208.09 |-Branch one:
% 266.82/208.09 | (1037) all_0_28_28 = e2
% 266.82/208.09 |
% 266.82/208.09 | Equations (1037) can reduce 649 to:
% 266.82/208.09 | (366) $false
% 266.82/208.09 |
% 266.82/208.09 |-The branch is then unsatisfiable
% 266.82/208.09 |-Branch two:
% 266.82/208.09 | (649) ~ (all_0_28_28 = e2)
% 266.82/208.09 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 266.82/208.09 |
% 266.82/208.09 +-Applying beta-rule and splitting (1040), into two cases.
% 266.82/208.09 |-Branch one:
% 266.82/208.09 | (1041) all_0_28_28 = e1
% 266.82/208.09 |
% 266.82/208.09 | Equations (1041) can reduce 421 to:
% 266.82/208.09 | (366) $false
% 266.82/208.09 |
% 266.82/208.09 |-The branch is then unsatisfiable
% 266.82/208.09 |-Branch two:
% 266.82/208.09 | (421) ~ (all_0_28_28 = e1)
% 266.82/208.09 | (1044) all_0_28_28 = e0
% 266.82/208.09 |
% 266.82/208.09 | Equations (1044) can reduce 886 to:
% 266.82/208.09 | (366) $false
% 266.82/208.09 |
% 266.82/208.09 |-The branch is then unsatisfiable
% 266.82/208.09 |-Branch two:
% 266.82/208.09 | (1143) ~ (all_0_38_38 = e4)
% 266.82/208.09 | (365) all_0_39_39 = e4
% 266.82/208.09 |
% 266.82/208.09 | Combining equations (380,365) yields a new equation:
% 266.82/208.09 | (490) e4 = e0
% 266.82/208.09 |
% 266.82/208.09 | Equations (490) can reduce 287 to:
% 266.82/208.09 | (366) $false
% 266.82/208.09 |
% 266.82/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (1058) ~ (all_0_26_26 = e0)
% 266.84/208.09 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (876), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (529) all_0_21_21 = e0
% 266.84/208.09 |
% 266.84/208.09 | Combining equations (449,529) yields a new equation:
% 266.84/208.09 | (842) e4 = e0
% 266.84/208.09 |
% 266.84/208.09 | Simplifying 842 yields:
% 266.84/208.09 | (490) e4 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (490) can reduce 287 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (398) ~ (all_0_21_21 = e0)
% 266.84/208.09 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (882), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (883) all_0_26_26 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (883) can reduce 1058 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (1058) ~ (all_0_26_26 = e0)
% 266.84/208.09 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (1059), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (1060) all_0_31_31 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (1060) can reduce 247 to:
% 266.84/208.09 | (2961) ~ (all_0_32_32 = e0)
% 266.84/208.09 |
% 266.84/208.09 | Simplifying 2961 yields:
% 266.84/208.09 | (1946) ~ (all_0_32_32 = e0)
% 266.84/208.09 |
% 266.84/208.09 | Equations (1060) can reduce 584 to:
% 266.84/208.09 | (389) ~ (e4 = e0)
% 266.84/208.09 |
% 266.84/208.09 | Simplifying 389 yields:
% 266.84/208.09 | (287) ~ (e4 = e0)
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (222), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (823) all_0_17_17 = e0
% 266.84/208.09 |
% 266.84/208.09 | Combining equations (823,865) yields a new equation:
% 266.84/208.09 | (490) e4 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (490) can reduce 287 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (2422) ~ (all_0_17_17 = e0)
% 266.84/208.09 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (2515), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (847) all_0_22_22 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (847) can reduce 1018 to:
% 266.84/208.09 | (395) ~ (e1 = e0)
% 266.84/208.09 |
% 266.84/208.09 | Simplifying 395 yields:
% 266.84/208.09 | (37) ~ (e1 = e0)
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (2527), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (546) all_0_27_27 = e0
% 266.84/208.09 |
% 266.84/208.09 | Combining equations (543,546) yields a new equation:
% 266.84/208.09 | (960) e1 = e0
% 266.84/208.09 |
% 266.84/208.09 | Simplifying 960 yields:
% 266.84/208.09 | (961) e1 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (961) can reduce 37 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (434) ~ (all_0_27_27 = e0)
% 266.84/208.09 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (2533), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (1044) all_0_28_28 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (1044) can reduce 886 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (886) ~ (all_0_28_28 = e0)
% 266.84/208.09 | (2537) all_0_29_29 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (2537) can reduce 383 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (826) ~ (all_0_22_22 = e0)
% 266.84/208.09 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (3101), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (546) all_0_27_27 = e0
% 266.84/208.09 |
% 266.84/208.09 | Combining equations (543,546) yields a new equation:
% 266.84/208.09 | (960) e1 = e0
% 266.84/208.09 |
% 266.84/208.09 | Simplifying 960 yields:
% 266.84/208.09 | (961) e1 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (961) can reduce 37 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (434) ~ (all_0_27_27 = e0)
% 266.84/208.09 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (261), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (1229) all_0_32_32 = e4
% 266.84/208.09 |
% 266.84/208.09 | Equations (1229) can reduce 727 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (727) ~ (all_0_32_32 = e4)
% 266.84/208.09 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (1506), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (772) all_0_32_32 = e3
% 266.84/208.09 |
% 266.84/208.09 | Equations (772) can reduce 1946 to:
% 266.84/208.09 | (88) ~ (e3 = e0)
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (3107), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (1626) all_0_32_32 = e0
% 266.84/208.09 |
% 266.84/208.09 | Combining equations (772,1626) yields a new equation:
% 266.84/208.09 | (979) e3 = e0
% 266.84/208.09 |
% 266.84/208.09 | Simplifying 979 yields:
% 266.84/208.09 | (980) e3 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (980) can reduce 88 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (1946) ~ (all_0_32_32 = e0)
% 266.84/208.09 | (3111) all_0_37_37 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (3111) can reduce 387 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (1089) ~ (all_0_32_32 = e3)
% 266.84/208.09 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (1618), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (1101) all_0_32_32 = e2
% 266.84/208.09 |
% 266.84/208.09 | Equations (1101) can reduce 508 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (508) ~ (all_0_32_32 = e2)
% 266.84/208.09 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 266.84/208.09 |
% 266.84/208.09 +-Applying beta-rule and splitting (1622), into two cases.
% 266.84/208.09 |-Branch one:
% 266.84/208.09 | (1587) all_0_32_32 = e1
% 266.84/208.09 |
% 266.84/208.09 | Equations (1587) can reduce 424 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (424) ~ (all_0_32_32 = e1)
% 266.84/208.09 | (1626) all_0_32_32 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (1626) can reduce 1946 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (1064) ~ (all_0_31_31 = e0)
% 266.84/208.09 | (1065) all_0_36_36 = e0
% 266.84/208.09 |
% 266.84/208.09 | Equations (1065) can reduce 386 to:
% 266.84/208.09 | (366) $false
% 266.84/208.09 |
% 266.84/208.09 |-The branch is then unsatisfiable
% 266.84/208.09 |-Branch two:
% 266.84/208.09 | (20947) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.84/208.09 |
% 266.84/208.09 | Applying alpha-rule on (20947) yields:
% 266.84/208.09 | (18221) all_0_8_8 = all_0_28_28
% 266.84/208.09 | (20949) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.84/208.09 |
% 266.84/208.09 | Instantiating formula (97) with e0, e4, e4, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 266.84/208.09 | (19107) all_0_35_35 = e4 | ~ (op(e0, e4) = e4)
% 266.84/208.09 |
% 266.84/208.09 | Instantiating formula (97) with e4, e4, e2, e3 and discharging atoms op(e4, e4) = e3, yields:
% 266.84/208.09 | (1305) e3 = e2 | ~ (op(e4, e4) = e2)
% 266.84/208.09 |
% 266.84/208.09 | Instantiating formula (97) with e4, e0, e2, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 266.84/208.09 | (21452) all_0_19_19 = e2 | ~ (op(e4, e0) = e2)
% 266.84/208.09 |
% 266.84/208.09 | Instantiating formula (97) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, yields:
% 266.84/208.10 | (19152) e4 = e2 | ~ (op(e4, e2) = e2)
% 266.84/208.10 |
% 266.84/208.10 | Instantiating formula (97) with e0, e1, e1, all_0_38_38 and discharging atoms op(e0, e1) = all_0_38_38, yields:
% 266.84/208.10 | (21454) all_0_38_38 = e1 | ~ (op(e0, e1) = e1)
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (36), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (887) all_0_18_18 = e4
% 266.84/208.10 |
% 266.84/208.10 | Combining equations (1153,887) yields a new equation:
% 266.84/208.10 | (490) e4 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (490) can reduce 287 to:
% 266.84/208.10 | (366) $false
% 266.84/208.10 |
% 266.84/208.10 |-The branch is then unsatisfiable
% 266.84/208.10 |-Branch two:
% 266.84/208.10 | (1046) ~ (all_0_18_18 = e4)
% 266.84/208.10 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.84/208.10 |
% 266.84/208.10 | Equations (1153) can reduce 1046 to:
% 266.84/208.10 | (389) ~ (e4 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 389 yields:
% 266.84/208.10 | (287) ~ (e4 = e0)
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (241), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (1921) all_0_25_25 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (1921) can reduce 95 to:
% 266.84/208.10 | (839) ~ (all_0_20_20 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (1921) can reduce 128 to:
% 266.84/208.10 | (2897) ~ (all_0_26_26 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 2897 yields:
% 266.84/208.10 | (1058) ~ (all_0_26_26 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (1921) can reduce 62 to:
% 266.84/208.10 | (3455) ~ (all_0_29_29 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 3455 yields:
% 266.84/208.10 | (383) ~ (all_0_29_29 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (1921) can reduce 98 to:
% 266.84/208.10 | (1895) ~ (all_0_35_35 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 1895 yields:
% 266.84/208.10 | (385) ~ (all_0_35_35 = e0)
% 266.84/208.10 |
% 266.84/208.10 | From (1921) and (5082) follows:
% 266.84/208.10 | (19463) op(e0, e4) = e4
% 266.84/208.10 |
% 266.84/208.10 | From (1921) and (1273) follows:
% 266.84/208.10 | (678) op(e4, e0) = e2
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (135), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (835) all_0_20_20 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (835) can reduce 839 to:
% 266.84/208.10 | (366) $false
% 266.84/208.10 |
% 266.84/208.10 |-The branch is then unsatisfiable
% 266.84/208.10 |-Branch two:
% 266.84/208.10 | (839) ~ (all_0_20_20 = e0)
% 266.84/208.10 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (876), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (529) all_0_21_21 = e0
% 266.84/208.10 |
% 266.84/208.10 | Combining equations (449,529) yields a new equation:
% 266.84/208.10 | (842) e4 = e0
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 842 yields:
% 266.84/208.10 | (490) e4 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (490) can reduce 287 to:
% 266.84/208.10 | (366) $false
% 266.84/208.10 |
% 266.84/208.10 |-The branch is then unsatisfiable
% 266.84/208.10 |-Branch two:
% 266.84/208.10 | (398) ~ (all_0_21_21 = e0)
% 266.84/208.10 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (449) can reduce 398 to:
% 266.84/208.10 | (287) ~ (e4 = e0)
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (840), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (529) all_0_21_21 = e0
% 266.84/208.10 |
% 266.84/208.10 | Combining equations (449,529) yields a new equation:
% 266.84/208.10 | (842) e4 = e0
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 842 yields:
% 266.84/208.10 | (490) e4 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (490) can reduce 287 to:
% 266.84/208.10 | (366) $false
% 266.84/208.10 |
% 266.84/208.10 |-The branch is then unsatisfiable
% 266.84/208.10 |-Branch two:
% 266.84/208.10 | (398) ~ (all_0_21_21 = e0)
% 266.84/208.10 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (882), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (883) all_0_26_26 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (883) can reduce 1058 to:
% 266.84/208.10 | (366) $false
% 266.84/208.10 |
% 266.84/208.10 |-The branch is then unsatisfiable
% 266.84/208.10 |-Branch two:
% 266.84/208.10 | (1058) ~ (all_0_26_26 = e0)
% 266.84/208.10 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (1059), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (1060) all_0_31_31 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (1060) can reduce 10 to:
% 266.84/208.10 | (824) ~ (all_0_16_16 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (1060) can reduce 188 to:
% 266.84/208.10 | (2963) ~ (all_0_34_34 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 2963 yields:
% 266.84/208.10 | (384) ~ (all_0_34_34 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (1060) can reduce 7 to:
% 266.84/208.10 | (3457) ~ (all_0_36_36 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 3457 yields:
% 266.84/208.10 | (386) ~ (all_0_36_36 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (1060) can reduce 1099 to:
% 266.84/208.10 | (393) ~ (e2 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 393 yields:
% 266.84/208.10 | (347) ~ (e2 = e0)
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (846), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (847) all_0_22_22 = e0
% 266.84/208.10 |
% 266.84/208.10 | Equations (847) can reduce 346 to:
% 266.84/208.10 | (7248) ~ (all_0_23_23 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 7248 yields:
% 266.84/208.10 | (1068) ~ (all_0_23_23 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (847) can reduce 268 to:
% 266.84/208.10 | (9686) ~ (all_0_24_24 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 9686 yields:
% 266.84/208.10 | (382) ~ (all_0_24_24 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (847) can reduce 63 to:
% 266.84/208.10 | (2961) ~ (all_0_32_32 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 2961 yields:
% 266.84/208.10 | (1946) ~ (all_0_32_32 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Equations (847) can reduce 1018 to:
% 266.84/208.10 | (395) ~ (e1 = e0)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 395 yields:
% 266.84/208.10 | (37) ~ (e1 = e0)
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (261), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (1229) all_0_32_32 = e4
% 266.84/208.10 |
% 266.84/208.10 | Equations (1229) can reduce 727 to:
% 266.84/208.10 | (366) $false
% 266.84/208.10 |
% 266.84/208.10 |-The branch is then unsatisfiable
% 266.84/208.10 |-Branch two:
% 266.84/208.10 | (727) ~ (all_0_32_32 = e4)
% 266.84/208.10 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (1506), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (772) all_0_32_32 = e3
% 266.84/208.10 |
% 266.84/208.10 | Combining equations (772,20681) yields a new equation:
% 266.84/208.10 | (8806) all_0_5_5 = e3
% 266.84/208.10 |
% 266.84/208.10 | Equations (772) can reduce 186 to:
% 266.84/208.10 | (568) ~ (all_0_30_30 = e3)
% 266.84/208.10 |
% 266.84/208.10 | Equations (772) can reduce 199 to:
% 266.84/208.10 | (2981) ~ (all_0_34_34 = e3)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 2981 yields:
% 266.84/208.10 | (1031) ~ (all_0_34_34 = e3)
% 266.84/208.10 |
% 266.84/208.10 | Equations (772) can reduce 336 to:
% 266.84/208.10 | (776) ~ (all_0_37_37 = e3)
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 776 yields:
% 266.84/208.10 | (777) ~ (all_0_37_37 = e3)
% 266.84/208.10 |
% 266.84/208.10 | Equations (772) can reduce 508 to:
% 266.84/208.10 | (56) ~ (e3 = e2)
% 266.84/208.10 |
% 266.84/208.10 | Equations (772) can reduce 1946 to:
% 266.84/208.10 | (88) ~ (e3 = e0)
% 266.84/208.10 |
% 266.84/208.10 +-Applying beta-rule and splitting (14957), into two cases.
% 266.84/208.10 |-Branch one:
% 266.84/208.10 | (21915) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)
% 266.84/208.10 |
% 266.84/208.10 | Applying alpha-rule on (21915) yields:
% 266.84/208.10 | (20681) all_0_5_5 = all_0_32_32
% 266.84/208.10 | (1089) ~ (all_0_32_32 = e3)
% 266.84/208.10 |
% 266.84/208.10 | Combining equations (20681,8806) yields a new equation:
% 266.84/208.10 | (21918) all_0_32_32 = e3
% 266.84/208.10 |
% 266.84/208.10 | Simplifying 21918 yields:
% 266.84/208.10 | (772) all_0_32_32 = e3
% 266.84/208.10 |
% 266.84/208.10 | Equations (772) can reduce 1089 to:
% 266.84/208.10 | (366) $false
% 266.84/208.10 |
% 266.84/208.10 |-The branch is then unsatisfiable
% 266.84/208.10 |-Branch two:
% 266.84/208.11 | (21921) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 266.84/208.11 |
% 266.84/208.11 | Applying alpha-rule on (21921) yields:
% 266.84/208.11 | (20681) all_0_5_5 = all_0_32_32
% 266.84/208.11 | (21923) ( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 266.84/208.11 |
% 266.84/208.11 | Combining equations (20681,8806) yields a new equation:
% 266.84/208.11 | (21918) all_0_32_32 = e3
% 266.84/208.11 |
% 266.84/208.11 | Simplifying 21918 yields:
% 266.84/208.11 | (772) all_0_32_32 = e3
% 266.84/208.11 |
% 266.84/208.11 +-Applying beta-rule and splitting (203), into two cases.
% 266.84/208.11 |-Branch one:
% 266.84/208.11 | (1980) all_0_17_17 = e2
% 266.84/208.11 |
% 266.84/208.11 | Combining equations (865,1980) yields a new equation:
% 266.84/208.11 | (1111) e4 = e2
% 266.84/208.11 |
% 266.84/208.11 | Simplifying 1111 yields:
% 266.84/208.11 | (539) e4 = e2
% 266.84/208.11 |
% 266.84/208.11 | Equations (539) can reduce 19 to:
% 266.84/208.11 | (366) $false
% 266.84/208.11 |
% 266.84/208.11 |-The branch is then unsatisfiable
% 266.84/208.11 |-Branch two:
% 266.84/208.11 | (459) ~ (all_0_17_17 = e2)
% 266.84/208.11 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 266.84/208.11 |
% 266.84/208.11 | Equations (865) can reduce 459 to:
% 266.84/208.11 | (19) ~ (e4 = e2)
% 266.84/208.11 |
% 266.84/208.11 +-Applying beta-rule and splitting (629), into two cases.
% 266.84/208.11 |-Branch one:
% 266.84/208.11 | (3370) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2)
% 266.84/208.11 |
% 266.84/208.11 | Applying alpha-rule on (3370) yields:
% 266.84/208.11 | (3371) all_0_14_14 = all_0_20_20
% 266.84/208.11 | (1114) ~ (all_0_20_20 = e2)
% 266.84/208.11 |
% 266.84/208.11 +-Applying beta-rule and splitting (162), into two cases.
% 266.84/208.11 |-Branch one:
% 266.84/208.11 | (472) all_0_15_15 = e2
% 266.84/208.11 |
% 266.84/208.11 | Combining equations (468,472) yields a new equation:
% 266.84/208.11 | (3874) e3 = e2
% 266.84/208.11 |
% 266.84/208.11 | Simplifying 3874 yields:
% 266.84/208.11 | (764) e3 = e2
% 266.84/208.11 |
% 266.84/208.11 | Equations (764) can reduce 56 to:
% 266.84/208.11 | (366) $false
% 266.84/208.11 |
% 266.84/208.11 |-The branch is then unsatisfiable
% 266.84/208.11 |-Branch two:
% 266.84/208.11 | (447) ~ (all_0_15_15 = e2)
% 266.84/208.11 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.84/208.11 |
% 266.84/208.11 +-Applying beta-rule and splitting (2921), into two cases.
% 266.84/208.11 |-Branch one:
% 266.84/208.11 | (736) all_0_20_20 = e2
% 266.84/208.11 |
% 266.84/208.11 | Equations (736) can reduce 1114 to:
% 266.84/208.11 | (366) $false
% 266.84/208.11 |
% 266.84/208.11 |-The branch is then unsatisfiable
% 266.84/208.11 |-Branch two:
% 266.84/208.11 | (1114) ~ (all_0_20_20 = e2)
% 266.84/208.11 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.84/208.11 |
% 266.84/208.11 +-Applying beta-rule and splitting (19107), into two cases.
% 266.84/208.11 |-Branch one:
% 266.84/208.11 | (19478) ~ (op(e0, e4) = e4)
% 266.84/208.11 |
% 266.84/208.11 | Using (19463) and (19478) yields:
% 266.84/208.11 | (821) $false
% 266.84/208.11 |
% 266.84/208.11 |-The branch is then unsatisfiable
% 266.84/208.11 |-Branch two:
% 266.84/208.11 | (19463) op(e0, e4) = e4
% 266.84/208.11 | (1161) all_0_35_35 = e4
% 266.84/208.11 |
% 266.84/208.11 +-Applying beta-rule and splitting (10030), into two cases.
% 266.84/208.11 |-Branch one:
% 266.84/208.11 | (3159) all_0_25_25 = e2
% 266.84/208.11 |
% 266.84/208.11 | Combining equations (1921,3159) yields a new equation:
% 266.84/208.11 | (551) e2 = e0
% 266.84/208.11 |
% 266.84/208.11 | Equations (551) can reduce 347 to:
% 266.84/208.11 | (366) $false
% 266.84/208.11 |
% 266.84/208.11 |-The branch is then unsatisfiable
% 266.84/208.11 |-Branch two:
% 266.84/208.11 | (646) ~ (all_0_25_25 = e2)
% 266.84/208.11 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 266.84/208.11 |
% 266.84/208.11 +-Applying beta-rule and splitting (16274), into two cases.
% 266.84/208.11 |-Branch one:
% 266.84/208.11 | (747) all_0_30_30 = e2
% 266.84/208.11 |
% 266.84/208.11 | Equations (747) can reduce 740 to:
% 266.84/208.11 | (366) $false
% 266.84/208.11 |
% 266.84/208.11 |-The branch is then unsatisfiable
% 266.84/208.11 |-Branch two:
% 266.84/208.11 | (740) ~ (all_0_30_30 = e2)
% 266.84/208.11 | (797) all_0_35_35 = e2
% 266.84/208.11 |
% 266.84/208.11 | Combining equations (1161,797) yields a new equation:
% 266.84/208.11 | (1111) e4 = e2
% 266.84/208.11 |
% 266.84/208.11 | Simplifying 1111 yields:
% 266.84/208.11 | (539) e4 = e2
% 266.84/208.11 |
% 266.84/208.11 | Equations (539) can reduce 19 to:
% 266.84/208.11 | (366) $false
% 266.84/208.11 |
% 266.84/208.11 |-The branch is then unsatisfiable
% 266.84/208.11 |-Branch two:
% 266.84/208.11 | (21622) all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13))
% 266.84/208.11 |
% 266.84/208.12 | Applying alpha-rule on (21622) yields:
% 266.84/208.12 | (3371) all_0_14_14 = all_0_20_20
% 266.84/208.12 | (21624) ( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (271), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (1232) all_0_37_37 = e4
% 266.84/208.12 |
% 266.84/208.12 | Equations (1232) can reduce 2658 to:
% 266.84/208.12 | (366) $false
% 266.84/208.12 |
% 266.84/208.12 |-The branch is then unsatisfiable
% 266.84/208.12 |-Branch two:
% 266.84/208.12 | (2658) ~ (all_0_37_37 = e4)
% 266.84/208.12 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (19107), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (19478) ~ (op(e0, e4) = e4)
% 266.84/208.12 |
% 266.84/208.12 | Using (19463) and (19478) yields:
% 266.84/208.12 | (821) $false
% 266.84/208.12 |
% 266.84/208.12 |-The branch is then unsatisfiable
% 266.84/208.12 |-Branch two:
% 266.84/208.12 | (19463) op(e0, e4) = e4
% 266.84/208.12 | (1161) all_0_35_35 = e4
% 266.84/208.12 |
% 266.84/208.12 | Equations (1161) can reduce 96 to:
% 266.84/208.12 | (509) ~ (all_0_30_30 = e4)
% 266.84/208.12 |
% 266.84/208.12 | Equations (1161) can reduce 273 to:
% 266.84/208.12 | (585) ~ (all_0_36_36 = e4)
% 266.84/208.12 |
% 266.84/208.12 | Simplifying 585 yields:
% 266.84/208.12 | (586) ~ (all_0_36_36 = e4)
% 266.84/208.12 |
% 266.84/208.12 | Equations (1161) can reduce 121 to:
% 266.84/208.12 | (3299) ~ (all_0_37_37 = e4)
% 266.84/208.12 |
% 266.84/208.12 | Simplifying 3299 yields:
% 266.84/208.12 | (2658) ~ (all_0_37_37 = e4)
% 266.84/208.12 |
% 266.84/208.12 | Equations (1161) can reduce 173 to:
% 266.84/208.12 | (1142) ~ (all_0_38_38 = e4)
% 266.84/208.12 |
% 266.84/208.12 | Simplifying 1142 yields:
% 266.84/208.12 | (1143) ~ (all_0_38_38 = e4)
% 266.84/208.12 |
% 266.84/208.12 | Equations (1161) can reduce 570 to:
% 266.84/208.12 | (277) ~ (e4 = e3)
% 266.84/208.12 |
% 266.84/208.12 | Equations (1161) can reduce 385 to:
% 266.84/208.12 | (287) ~ (e4 = e0)
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (15439), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (917) all_0_22_22 = e2
% 266.84/208.12 |
% 266.84/208.12 | Combining equations (847,917) yields a new equation:
% 266.84/208.12 | (551) e2 = e0
% 266.84/208.12 |
% 266.84/208.12 | Equations (551) can reduce 347 to:
% 266.84/208.12 | (366) $false
% 266.84/208.12 |
% 266.84/208.12 |-The branch is then unsatisfiable
% 266.84/208.12 |-Branch two:
% 266.84/208.12 | (493) ~ (all_0_22_22 = e2)
% 266.84/208.12 | (16070) all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 266.84/208.12 |
% 266.84/208.12 | Equations (847) can reduce 493 to:
% 266.84/208.12 | (393) ~ (e2 = e0)
% 266.84/208.12 |
% 266.84/208.12 | Simplifying 393 yields:
% 266.84/208.12 | (347) ~ (e2 = e0)
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (162), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (472) all_0_15_15 = e2
% 266.84/208.12 |
% 266.84/208.12 | Combining equations (468,472) yields a new equation:
% 266.84/208.12 | (3874) e3 = e2
% 266.84/208.12 |
% 266.84/208.12 | Simplifying 3874 yields:
% 266.84/208.12 | (764) e3 = e2
% 266.84/208.12 |
% 266.84/208.12 | Equations (764) can reduce 56 to:
% 266.84/208.12 | (366) $false
% 266.84/208.12 |
% 266.84/208.12 |-The branch is then unsatisfiable
% 266.84/208.12 |-Branch two:
% 266.84/208.12 | (447) ~ (all_0_15_15 = e2)
% 266.84/208.12 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (2921), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (736) all_0_20_20 = e2
% 266.84/208.12 |
% 266.84/208.12 | Equations (736) can reduce 564 to:
% 266.84/208.12 | (658) ~ (e3 = e2)
% 266.84/208.12 |
% 266.84/208.12 | Simplifying 658 yields:
% 266.84/208.12 | (56) ~ (e3 = e2)
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (3872), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (1073) all_0_37_37 = e3
% 266.84/208.12 |
% 266.84/208.12 | Equations (1073) can reduce 777 to:
% 266.84/208.12 | (366) $false
% 266.84/208.12 |
% 266.84/208.12 |-The branch is then unsatisfiable
% 266.84/208.12 |-Branch two:
% 266.84/208.12 | (777) ~ (all_0_37_37 = e3)
% 266.84/208.12 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (327), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (768) all_0_30_30 = e4
% 266.84/208.12 |
% 266.84/208.12 | Equations (768) can reduce 509 to:
% 266.84/208.12 | (366) $false
% 266.84/208.12 |
% 266.84/208.12 |-The branch is then unsatisfiable
% 266.84/208.12 |-Branch two:
% 266.84/208.12 | (509) ~ (all_0_30_30 = e4)
% 266.84/208.12 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (21624), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (21627) ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12
% 266.84/208.12 |
% 266.84/208.12 | Applying alpha-rule on (21627) yields:
% 266.84/208.12 | (21628) ~ (all_0_12_12 = e0)
% 266.84/208.12 | (21629) op(e3, all_0_20_20) = all_0_12_12
% 266.84/208.12 |
% 266.84/208.12 | From (736) and (21629) follows:
% 266.84/208.12 | (21630) op(e3, e2) = all_0_12_12
% 266.84/208.12 |
% 266.84/208.12 +-Applying beta-rule and splitting (3886), into two cases.
% 266.84/208.12 |-Branch one:
% 266.84/208.12 | (805) all_0_37_37 = e2
% 266.84/208.12 |
% 266.84/208.12 | Equations (805) can reduce 183 to:
% 266.84/208.12 | (756) ~ (all_0_36_36 = e2)
% 266.84/208.12 |
% 266.84/208.12 | Equations (805) can reduce 2658 to:
% 266.84/208.12 | (444) ~ (e4 = e2)
% 266.84/208.12 |
% 266.84/208.12 | Simplifying 444 yields:
% 266.84/208.12 | (19) ~ (e4 = e2)
% 266.84/208.12 |
% 266.84/208.12 | From (805) and (348) follows:
% 266.84/208.12 | (22793) op(all_0_29_29, e2) = e0
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (1437), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (1446) all_0_31_31 = e4
% 266.84/208.13 |
% 266.84/208.13 | Combining equations (1060,1446) yields a new equation:
% 266.84/208.13 | (490) e4 = e0
% 266.84/208.13 |
% 266.84/208.13 | Equations (490) can reduce 287 to:
% 266.84/208.13 | (366) $false
% 266.84/208.13 |
% 266.84/208.13 |-The branch is then unsatisfiable
% 266.84/208.13 |-Branch two:
% 266.84/208.13 | (584) ~ (all_0_31_31 = e4)
% 266.84/208.13 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (1449), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (1229) all_0_32_32 = e4
% 266.84/208.13 |
% 266.84/208.13 | Combining equations (772,1229) yields a new equation:
% 266.84/208.13 | (691) e4 = e3
% 266.84/208.13 |
% 266.84/208.13 | Equations (691) can reduce 277 to:
% 266.84/208.13 | (366) $false
% 266.84/208.13 |
% 266.84/208.13 |-The branch is then unsatisfiable
% 266.84/208.13 |-Branch two:
% 266.84/208.13 | (727) ~ (all_0_32_32 = e4)
% 266.84/208.13 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (1476), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (406) all_0_33_33 = e4
% 266.84/208.13 |
% 266.84/208.13 | Combining equations (406,414) yields a new equation:
% 266.84/208.13 | (1111) e4 = e2
% 266.84/208.13 |
% 266.84/208.13 | Simplifying 1111 yields:
% 266.84/208.13 | (539) e4 = e2
% 266.84/208.13 |
% 266.84/208.13 | Equations (539) can reduce 19 to:
% 266.84/208.13 | (366) $false
% 266.84/208.13 |
% 266.84/208.13 |-The branch is then unsatisfiable
% 266.84/208.13 |-Branch two:
% 266.84/208.13 | (405) ~ (all_0_33_33 = e4)
% 266.84/208.13 | (723) all_0_34_34 = e4
% 266.84/208.13 |
% 266.84/208.13 | Equations (723) can reduce 4 to:
% 266.84/208.13 | (580) ~ (all_0_24_24 = e4)
% 266.84/208.13 |
% 266.84/208.13 | Equations (723) can reduce 41 to:
% 266.84/208.13 | (724) ~ (all_0_29_29 = e4)
% 266.84/208.13 |
% 266.84/208.13 | Equations (723) can reduce 1031 to:
% 266.84/208.13 | (277) ~ (e4 = e3)
% 266.84/208.13 |
% 266.84/208.13 | Equations (723) can reduce 384 to:
% 266.84/208.13 | (287) ~ (e4 = e0)
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (159), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (787) all_0_30_30 = e1
% 266.84/208.13 |
% 266.84/208.13 | Equations (787) can reduce 568 to:
% 266.84/208.13 | (429) ~ (e3 = e1)
% 266.84/208.13 |
% 266.84/208.13 | Simplifying 429 yields:
% 266.84/208.13 | (318) ~ (e3 = e1)
% 266.84/208.13 |
% 266.84/208.13 | From (787) and (13340) follows:
% 266.84/208.13 | (21557) op(e0, e1) = e1
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (285), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (1158) all_0_25_25 = e4
% 266.84/208.13 |
% 266.84/208.13 | Combining equations (1921,1158) yields a new equation:
% 266.84/208.13 | (490) e4 = e0
% 266.84/208.13 |
% 266.84/208.13 | Equations (490) can reduce 287 to:
% 266.84/208.13 | (366) $false
% 266.84/208.13 |
% 266.84/208.13 |-The branch is then unsatisfiable
% 266.84/208.13 |-Branch two:
% 266.84/208.13 | (501) ~ (all_0_25_25 = e4)
% 266.84/208.13 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (1217), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (1237) all_0_26_26 = e4
% 266.84/208.13 |
% 266.84/208.13 | Equations (1237) can reduce 582 to:
% 266.84/208.13 | (366) $false
% 266.84/208.13 |
% 266.84/208.13 |-The branch is then unsatisfiable
% 266.84/208.13 |-Branch two:
% 266.84/208.13 | (582) ~ (all_0_26_26 = e4)
% 266.84/208.13 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (21454), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (21631) ~ (op(e0, e1) = e1)
% 266.84/208.13 |
% 266.84/208.13 | Using (21557) and (21631) yields:
% 266.84/208.13 | (821) $false
% 266.84/208.13 |
% 266.84/208.13 |-The branch is then unsatisfiable
% 266.84/208.13 |-Branch two:
% 266.84/208.13 | (21557) op(e0, e1) = e1
% 266.84/208.13 | (1211) all_0_38_38 = e1
% 266.84/208.13 |
% 266.84/208.13 | Equations (1211) can reduce 93 to:
% 266.84/208.13 | (1593) ~ (all_0_36_36 = e1)
% 266.84/208.13 |
% 266.84/208.13 | Equations (1211) can reduce 1143 to:
% 266.84/208.13 | (477) ~ (e4 = e1)
% 266.84/208.13 |
% 266.84/208.13 | Simplifying 477 yields:
% 266.84/208.13 | (65) ~ (e4 = e1)
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (1240), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (435) all_0_27_27 = e4
% 266.84/208.13 |
% 266.84/208.13 | Combining equations (543,435) yields a new equation:
% 266.84/208.13 | (480) e4 = e1
% 266.84/208.13 |
% 266.84/208.13 | Equations (480) can reduce 65 to:
% 266.84/208.13 | (366) $false
% 266.84/208.13 |
% 266.84/208.13 |-The branch is then unsatisfiable
% 266.84/208.13 |-Branch two:
% 266.84/208.13 | (404) ~ (all_0_27_27 = e4)
% 266.84/208.13 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (137), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (1515) all_0_23_23 = e4
% 266.84/208.13 |
% 266.84/208.13 | Equations (1515) can reduce 578 to:
% 266.84/208.13 | (366) $false
% 266.84/208.13 |
% 266.84/208.13 |-The branch is then unsatisfiable
% 266.84/208.13 |-Branch two:
% 266.84/208.13 | (578) ~ (all_0_23_23 = e4)
% 266.84/208.13 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.84/208.13 |
% 266.84/208.13 +-Applying beta-rule and splitting (3943), into two cases.
% 266.84/208.13 |-Branch one:
% 266.84/208.13 | (978) all_0_23_23 = e3
% 266.84/208.13 |
% 266.84/208.13 | Equations (978) can reduce 118 to:
% 266.84/208.13 | (3506) ~ (all_0_24_24 = e3)
% 266.84/208.13 |
% 266.84/208.13 | Simplifying 3506 yields:
% 266.84/208.13 | (963) ~ (all_0_24_24 = e3)
% 266.84/208.13 |
% 266.84/208.13 | Equations (978) can reduce 86 to:
% 266.89/208.13 | (7575) ~ (all_0_28_28 = e3)
% 266.89/208.13 |
% 266.89/208.13 | Simplifying 7575 yields:
% 266.89/208.13 | (1035) ~ (all_0_28_28 = e3)
% 266.89/208.13 |
% 266.89/208.13 | Equations (978) can reduce 1068 to:
% 266.89/208.13 | (88) ~ (e3 = e0)
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (1245), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (892) all_0_28_28 = e4
% 266.89/208.13 |
% 266.89/208.13 | Equations (892) can reduce 1035 to:
% 266.89/208.13 | (277) ~ (e4 = e3)
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (187), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (2611) all_0_36_36 = e4
% 266.89/208.13 |
% 266.89/208.13 | Equations (2611) can reduce 586 to:
% 266.89/208.13 | (366) $false
% 266.89/208.13 |
% 266.89/208.13 |-The branch is then unsatisfiable
% 266.89/208.13 |-Branch two:
% 266.89/208.13 | (586) ~ (all_0_36_36 = e4)
% 266.89/208.13 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (230), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (927) all_0_19_19 = e3
% 266.89/208.13 |
% 266.89/208.13 | Equations (927) can reduce 562 to:
% 266.89/208.13 | (366) $false
% 266.89/208.13 |
% 266.89/208.13 |-The branch is then unsatisfiable
% 266.89/208.13 |-Branch two:
% 266.89/208.13 | (562) ~ (all_0_19_19 = e3)
% 266.89/208.13 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (228), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (921) all_0_16_16 = e1
% 266.89/208.13 |
% 266.89/208.13 | Equations (921) can reduce 458 to:
% 266.89/208.13 | (429) ~ (e3 = e1)
% 266.89/208.13 |
% 266.89/208.13 | Simplifying 429 yields:
% 266.89/208.13 | (318) ~ (e3 = e1)
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (164), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (814) all_0_35_35 = e3
% 266.89/208.13 |
% 266.89/208.13 | Combining equations (1161,814) yields a new equation:
% 266.89/208.13 | (690) e4 = e3
% 266.89/208.13 |
% 266.89/208.13 | Simplifying 690 yields:
% 266.89/208.13 | (691) e4 = e3
% 266.89/208.13 |
% 266.89/208.13 | Equations (691) can reduce 277 to:
% 266.89/208.13 | (366) $false
% 266.89/208.13 |
% 266.89/208.13 |-The branch is then unsatisfiable
% 266.89/208.13 |-Branch two:
% 266.89/208.13 | (570) ~ (all_0_35_35 = e3)
% 266.89/208.13 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 266.89/208.13 |
% 266.89/208.13 | Equations (1161) can reduce 570 to:
% 266.89/208.13 | (277) ~ (e4 = e3)
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (931), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (939) all_0_24_24 = e3
% 266.89/208.13 |
% 266.89/208.13 | Equations (939) can reduce 963 to:
% 266.89/208.13 | (366) $false
% 266.89/208.13 |
% 266.89/208.13 |-The branch is then unsatisfiable
% 266.89/208.13 |-Branch two:
% 266.89/208.13 | (963) ~ (all_0_24_24 = e3)
% 266.89/208.13 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (964), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (1023) all_0_29_29 = e3
% 266.89/208.13 |
% 266.89/208.13 | From (1023) and (22793) follows:
% 266.89/208.13 | (8906) op(e3, e2) = e0
% 266.89/208.13 |
% 266.89/208.13 | Instantiating formula (97) with e3, e2, e0, all_0_12_12 and discharging atoms op(e3, e2) = all_0_12_12, op(e3, e2) = e0, yields:
% 266.89/208.13 | (21643) all_0_12_12 = e0
% 266.89/208.13 |
% 266.89/208.13 | Equations (21643) can reduce 21628 to:
% 266.89/208.13 | (366) $false
% 266.89/208.13 |
% 266.89/208.13 |-The branch is then unsatisfiable
% 266.89/208.13 |-Branch two:
% 266.89/208.13 | (898) ~ (all_0_29_29 = e3)
% 266.89/208.13 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (168), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (2438) all_0_25_25 = e3
% 266.89/208.13 |
% 266.89/208.13 | Combining equations (1921,2438) yields a new equation:
% 266.89/208.13 | (980) e3 = e0
% 266.89/208.13 |
% 266.89/208.13 | Equations (980) can reduce 88 to:
% 266.89/208.13 | (366) $false
% 266.89/208.13 |
% 266.89/208.13 |-The branch is then unsatisfiable
% 266.89/208.13 |-Branch two:
% 266.89/208.13 | (566) ~ (all_0_25_25 = e3)
% 266.89/208.13 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 266.89/208.13 |
% 266.89/208.13 | Equations (1921) can reduce 566 to:
% 266.89/208.13 | (391) ~ (e3 = e0)
% 266.89/208.13 |
% 266.89/208.13 | Simplifying 391 yields:
% 266.89/208.13 | (88) ~ (e3 = e0)
% 266.89/208.13 |
% 266.89/208.13 +-Applying beta-rule and splitting (94), into two cases.
% 266.89/208.13 |-Branch one:
% 266.89/208.13 | (1287) all_0_16_16 = e3
% 266.89/208.13 |
% 266.89/208.13 | Combining equations (1287,921) yields a new equation:
% 266.89/208.13 | (933) e3 = e1
% 266.89/208.14 |
% 266.89/208.14 | Simplifying 933 yields:
% 266.89/208.14 | (706) e3 = e1
% 266.89/208.14 |
% 266.89/208.14 | Equations (706) can reduce 318 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (458) ~ (all_0_16_16 = e3)
% 266.89/208.14 | (2460) all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (2460), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (453) all_0_21_21 = e3
% 266.89/208.14 |
% 266.89/208.14 | Combining equations (453,449) yields a new equation:
% 266.89/208.14 | (691) e4 = e3
% 266.89/208.14 |
% 266.89/208.14 | Equations (691) can reduce 277 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (494) ~ (all_0_21_21 = e3)
% 266.89/208.14 | (2466) all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 266.89/208.14 |
% 266.89/208.14 | Equations (449) can reduce 494 to:
% 266.89/208.14 | (277) ~ (e4 = e3)
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (1026), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (1027) all_0_34_34 = e3
% 266.89/208.14 |
% 266.89/208.14 | Combining equations (723,1027) yields a new equation:
% 266.89/208.14 | (690) e4 = e3
% 266.89/208.14 |
% 266.89/208.14 | Simplifying 690 yields:
% 266.89/208.14 | (691) e4 = e3
% 266.89/208.14 |
% 266.89/208.14 | Equations (691) can reduce 277 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (1031) ~ (all_0_34_34 = e3)
% 266.89/208.14 | (369) all_0_39_39 = e3
% 266.89/208.14 |
% 266.89/208.14 | Combining equations (380,369) yields a new equation:
% 266.89/208.14 | (980) e3 = e0
% 266.89/208.14 |
% 266.89/208.14 | Equations (980) can reduce 88 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (985) ~ (all_0_16_16 = e1)
% 266.89/208.14 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (2614), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (818) all_0_36_36 = e3
% 266.89/208.14 |
% 266.89/208.14 | Equations (818) can reduce 64 to:
% 266.89/208.14 | (458) ~ (all_0_16_16 = e3)
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (192), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (663) all_0_19_19 = e2
% 266.89/208.14 |
% 266.89/208.14 | Equations (663) can reduce 236 to:
% 266.89/208.14 | (664) ~ (all_0_16_16 = e2)
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (704), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (1287) all_0_16_16 = e3
% 266.89/208.14 |
% 266.89/208.14 | Equations (1287) can reduce 458 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (458) ~ (all_0_16_16 = e3)
% 266.89/208.14 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (1290), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (697) all_0_16_16 = e2
% 266.89/208.14 |
% 266.89/208.14 | Equations (697) can reduce 664 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (664) ~ (all_0_16_16 = e2)
% 266.89/208.14 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (1377), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (921) all_0_16_16 = e1
% 266.89/208.14 |
% 266.89/208.14 | Equations (921) can reduce 985 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (985) ~ (all_0_16_16 = e1)
% 266.89/208.14 | (873) all_0_16_16 = e0
% 266.89/208.14 |
% 266.89/208.14 | Equations (873) can reduce 824 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (2785) ~ (all_0_19_19 = e2)
% 266.89/208.14 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (21452), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (5138) ~ (op(e4, e0) = e2)
% 266.89/208.14 |
% 266.89/208.14 | Using (678) and (5138) yields:
% 266.89/208.14 | (821) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (678) op(e4, e0) = e2
% 266.89/208.14 | (663) all_0_19_19 = e2
% 266.89/208.14 |
% 266.89/208.14 | Equations (663) can reduce 2785 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (516) ~ (all_0_36_36 = e3)
% 266.89/208.14 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (3567), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (801) all_0_36_36 = e2
% 266.89/208.14 |
% 266.89/208.14 | Equations (801) can reduce 756 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (756) ~ (all_0_36_36 = e2)
% 266.89/208.14 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (3571), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (1015) all_0_36_36 = e1
% 266.89/208.14 |
% 266.89/208.14 | Equations (1015) can reduce 1593 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (1593) ~ (all_0_36_36 = e1)
% 266.89/208.14 | (1065) all_0_36_36 = e0
% 266.89/208.14 |
% 266.89/208.14 | Equations (1065) can reduce 386 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (890) ~ (all_0_28_28 = e4)
% 266.89/208.14 | (1250) all_0_29_29 = e4
% 266.89/208.14 |
% 266.89/208.14 | Equations (1250) can reduce 724 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (982) ~ (all_0_23_23 = e3)
% 266.89/208.14 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (1245), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (892) all_0_28_28 = e4
% 266.89/208.14 |
% 266.89/208.14 | Combining equations (892,18221) yields a new equation:
% 266.89/208.14 | (18227) all_0_8_8 = e4
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (269), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (1134) all_0_18_18 = e3
% 266.89/208.14 |
% 266.89/208.14 | Combining equations (1153,1134) yields a new equation:
% 266.89/208.14 | (980) e3 = e0
% 266.89/208.14 |
% 266.89/208.14 | Equations (980) can reduce 88 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (560) ~ (all_0_18_18 = e3)
% 266.89/208.14 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (164), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (814) all_0_35_35 = e3
% 266.89/208.14 |
% 266.89/208.14 | Combining equations (814,1161) yields a new equation:
% 266.89/208.14 | (691) e4 = e3
% 266.89/208.14 |
% 266.89/208.14 | Equations (691) can reduce 277 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (570) ~ (all_0_35_35 = e3)
% 266.89/208.14 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 266.89/208.14 |
% 266.89/208.14 | Equations (1161) can reduce 570 to:
% 266.89/208.14 | (277) ~ (e4 = e3)
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (1137), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (978) all_0_23_23 = e3
% 266.89/208.14 |
% 266.89/208.14 | Equations (978) can reduce 982 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.14 | (982) ~ (all_0_23_23 = e3)
% 266.89/208.14 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 266.89/208.14 |
% 266.89/208.14 +-Applying beta-rule and splitting (15017), into two cases.
% 266.89/208.14 |-Branch one:
% 266.89/208.14 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 266.89/208.14 |
% 266.89/208.14 | Applying alpha-rule on (18220) yields:
% 266.89/208.14 | (18221) all_0_8_8 = all_0_28_28
% 266.89/208.14 | (890) ~ (all_0_28_28 = e4)
% 266.89/208.14 |
% 266.89/208.14 | Combining equations (18221,18227) yields a new equation:
% 266.89/208.14 | (18238) all_0_28_28 = e4
% 266.89/208.14 |
% 266.89/208.14 | Simplifying 18238 yields:
% 266.89/208.14 | (892) all_0_28_28 = e4
% 266.89/208.14 |
% 266.89/208.14 | Equations (892) can reduce 890 to:
% 266.89/208.14 | (366) $false
% 266.89/208.14 |
% 266.89/208.14 |-The branch is then unsatisfiable
% 266.89/208.14 |-Branch two:
% 266.89/208.15 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 266.89/208.15 |
% 266.89/208.15 | Applying alpha-rule on (18241) yields:
% 266.89/208.15 | (18221) all_0_8_8 = all_0_28_28
% 266.89/208.15 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 266.89/208.15 |
% 266.89/208.15 | Combining equations (18221,18227) yields a new equation:
% 266.89/208.15 | (18238) all_0_28_28 = e4
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 18238 yields:
% 266.89/208.15 | (892) all_0_28_28 = e4
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (21452), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (5138) ~ (op(e4, e0) = e2)
% 266.89/208.15 |
% 266.89/208.15 | Using (678) and (5138) yields:
% 266.89/208.15 | (821) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (678) op(e4, e0) = e2
% 266.89/208.15 | (663) all_0_19_19 = e2
% 266.89/208.15 |
% 266.89/208.15 | Equations (663) can reduce 562 to:
% 266.89/208.15 | (658) ~ (e3 = e2)
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 658 yields:
% 266.89/208.15 | (56) ~ (e3 = e2)
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (3084), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (896) all_0_28_28 = e3
% 266.89/208.15 |
% 266.89/208.15 | Combining equations (892,896) yields a new equation:
% 266.89/208.15 | (690) e4 = e3
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 690 yields:
% 266.89/208.15 | (691) e4 = e3
% 266.89/208.15 |
% 266.89/208.15 | Equations (691) can reduce 277 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (1035) ~ (all_0_28_28 = e3)
% 266.89/208.15 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (3089), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (410) all_0_33_33 = e3
% 266.89/208.15 |
% 266.89/208.15 | Combining equations (410,414) yields a new equation:
% 266.89/208.15 | (3874) e3 = e2
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 3874 yields:
% 266.89/208.15 | (764) e3 = e2
% 266.89/208.15 |
% 266.89/208.15 | Equations (764) can reduce 56 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (403) ~ (all_0_33_33 = e3)
% 266.89/208.15 | (1077) all_0_38_38 = e3
% 266.89/208.15 |
% 266.89/208.15 | Combining equations (1211,1077) yields a new equation:
% 266.89/208.15 | (706) e3 = e1
% 266.89/208.15 |
% 266.89/208.15 | Equations (706) can reduce 318 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (890) ~ (all_0_28_28 = e4)
% 266.89/208.15 | (1250) all_0_29_29 = e4
% 266.89/208.15 |
% 266.89/208.15 | Equations (1250) can reduce 724 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (422) ~ (all_0_30_30 = e1)
% 266.89/208.15 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (5570), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (1010) all_0_31_31 = e1
% 266.89/208.15 |
% 266.89/208.15 | Combining equations (1060,1010) yields a new equation:
% 266.89/208.15 | (961) e1 = e0
% 266.89/208.15 |
% 266.89/208.15 | Equations (961) can reduce 37 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (423) ~ (all_0_31_31 = e1)
% 266.89/208.15 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (357), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (1250) all_0_29_29 = e4
% 266.89/208.15 |
% 266.89/208.15 | Equations (1250) can reduce 724 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (724) ~ (all_0_29_29 = e4)
% 266.89/208.15 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (192), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (663) all_0_19_19 = e2
% 266.89/208.15 |
% 266.89/208.15 | Equations (663) can reduce 87 to:
% 266.89/208.15 | (667) ~ (all_0_24_24 = e2)
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 667 yields:
% 266.89/208.15 | (668) ~ (all_0_24_24 = e2)
% 266.89/208.15 |
% 266.89/208.15 | Equations (663) can reduce 229 to:
% 266.89/208.15 | (650) ~ (all_0_29_29 = e2)
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 650 yields:
% 266.89/208.15 | (651) ~ (all_0_29_29 = e2)
% 266.89/208.15 |
% 266.89/208.15 | Equations (663) can reduce 562 to:
% 266.89/208.15 | (658) ~ (e3 = e2)
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 658 yields:
% 266.89/208.15 | (56) ~ (e3 = e2)
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (125), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (903) all_0_20_20 = e3
% 266.89/208.15 |
% 266.89/208.15 | Combining equations (903,736) yields a new equation:
% 266.89/208.15 | (3874) e3 = e2
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 3874 yields:
% 266.89/208.15 | (764) e3 = e2
% 266.89/208.15 |
% 266.89/208.15 | Equations (764) can reduce 56 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (564) ~ (all_0_20_20 = e3)
% 266.89/208.15 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 266.89/208.15 |
% 266.89/208.15 | Equations (736) can reduce 564 to:
% 266.89/208.15 | (658) ~ (e3 = e2)
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 658 yields:
% 266.89/208.15 | (56) ~ (e3 = e2)
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (230), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (927) all_0_19_19 = e3
% 266.89/208.15 |
% 266.89/208.15 | Combining equations (927,663) yields a new equation:
% 266.89/208.15 | (3874) e3 = e2
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 3874 yields:
% 266.89/208.15 | (764) e3 = e2
% 266.89/208.15 |
% 266.89/208.15 | Equations (764) can reduce 56 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (562) ~ (all_0_19_19 = e3)
% 266.89/208.15 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (931), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (939) all_0_24_24 = e3
% 266.89/208.15 |
% 266.89/208.15 | Equations (939) can reduce 85 to:
% 266.89/208.15 | (897) ~ (all_0_29_29 = e3)
% 266.89/208.15 |
% 266.89/208.15 | Simplifying 897 yields:
% 266.89/208.15 | (898) ~ (all_0_29_29 = e3)
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (2812), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (1023) all_0_29_29 = e3
% 266.89/208.15 |
% 266.89/208.15 | Equations (1023) can reduce 898 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (898) ~ (all_0_29_29 = e3)
% 266.89/208.15 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (5409), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (4103) all_0_29_29 = e2
% 266.89/208.15 |
% 266.89/208.15 | Equations (4103) can reduce 651 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (651) ~ (all_0_29_29 = e2)
% 266.89/208.15 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (5413), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (945) all_0_29_29 = e1
% 266.89/208.15 |
% 266.89/208.15 | Equations (945) can reduce 952 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (952) ~ (all_0_29_29 = e1)
% 266.89/208.15 | (2537) all_0_29_29 = e0
% 266.89/208.15 |
% 266.89/208.15 | Equations (2537) can reduce 383 to:
% 266.89/208.15 | (366) $false
% 266.89/208.15 |
% 266.89/208.15 |-The branch is then unsatisfiable
% 266.89/208.15 |-Branch two:
% 266.89/208.15 | (963) ~ (all_0_24_24 = e3)
% 266.89/208.15 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 266.89/208.15 |
% 266.89/208.15 +-Applying beta-rule and splitting (154), into two cases.
% 266.89/208.15 |-Branch one:
% 266.89/208.15 | (685) all_0_24_24 = e4
% 266.89/208.16 |
% 266.89/208.16 | Equations (685) can reduce 580 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (580) ~ (all_0_24_24 = e4)
% 266.89/208.16 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 266.89/208.16 |
% 266.89/208.16 +-Applying beta-rule and splitting (688), into two cases.
% 266.89/208.16 |-Branch one:
% 266.89/208.16 | (939) all_0_24_24 = e3
% 266.89/208.16 |
% 266.89/208.16 | Equations (939) can reduce 963 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (963) ~ (all_0_24_24 = e3)
% 266.89/208.16 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 266.89/208.16 |
% 266.89/208.16 +-Applying beta-rule and splitting (968), into two cases.
% 266.89/208.16 |-Branch one:
% 266.89/208.16 | (1393) all_0_24_24 = e2
% 266.89/208.16 |
% 266.89/208.16 | Equations (1393) can reduce 668 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (668) ~ (all_0_24_24 = e2)
% 266.89/208.16 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 266.89/208.16 |
% 266.89/208.16 +-Applying beta-rule and splitting (2760), into two cases.
% 266.89/208.16 |-Branch one:
% 266.89/208.16 | (940) all_0_24_24 = e1
% 266.89/208.16 |
% 266.89/208.16 | Equations (940) can reduce 580 to:
% 266.89/208.16 | (477) ~ (e4 = e1)
% 266.89/208.16 |
% 266.89/208.16 | Simplifying 477 yields:
% 266.89/208.16 | (65) ~ (e4 = e1)
% 266.89/208.16 |
% 266.89/208.16 | Equations (940) can reduce 963 to:
% 266.89/208.16 | (429) ~ (e3 = e1)
% 266.89/208.16 |
% 266.89/208.16 | Simplifying 429 yields:
% 266.89/208.16 | (318) ~ (e3 = e1)
% 266.89/208.16 |
% 266.89/208.16 | Equations (940) can reduce 668 to:
% 266.89/208.16 | (1002) ~ (e2 = e1)
% 266.89/208.16 |
% 266.89/208.16 | Simplifying 1002 yields:
% 266.89/208.16 | (329) ~ (e2 = e1)
% 266.89/208.16 |
% 266.89/208.16 +-Applying beta-rule and splitting (5940), into two cases.
% 266.89/208.16 |-Branch one:
% 266.89/208.16 | (1587) all_0_32_32 = e1
% 266.89/208.16 |
% 266.89/208.16 | Combining equations (772,1587) yields a new equation:
% 266.89/208.16 | (933) e3 = e1
% 266.89/208.16 |
% 266.89/208.16 | Simplifying 933 yields:
% 266.89/208.16 | (706) e3 = e1
% 266.89/208.16 |
% 266.89/208.16 | Equations (706) can reduce 318 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (424) ~ (all_0_32_32 = e1)
% 266.89/208.16 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 266.89/208.16 |
% 266.89/208.16 +-Applying beta-rule and splitting (5953), into two cases.
% 266.89/208.16 |-Branch one:
% 266.89/208.16 | (418) all_0_33_33 = e1
% 266.89/208.16 |
% 266.89/208.16 | Combining equations (414,418) yields a new equation:
% 266.89/208.16 | (717) e2 = e1
% 266.89/208.16 |
% 266.89/208.16 | Simplifying 717 yields:
% 266.89/208.16 | (718) e2 = e1
% 266.89/208.16 |
% 266.89/208.16 | Equations (718) can reduce 329 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (507) ~ (all_0_33_33 = e1)
% 266.89/208.16 | (954) all_0_34_34 = e1
% 266.89/208.16 |
% 266.89/208.16 | Combining equations (723,954) yields a new equation:
% 266.89/208.16 | (955) e4 = e1
% 266.89/208.16 |
% 266.89/208.16 | Simplifying 955 yields:
% 266.89/208.16 | (480) e4 = e1
% 266.89/208.16 |
% 266.89/208.16 | Equations (480) can reduce 65 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (943) ~ (all_0_24_24 = e1)
% 266.89/208.16 | (1069) all_0_24_24 = e0
% 266.89/208.16 |
% 266.89/208.16 | Equations (1069) can reduce 382 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (2785) ~ (all_0_19_19 = e2)
% 266.89/208.16 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 266.89/208.16 |
% 266.89/208.16 +-Applying beta-rule and splitting (21452), into two cases.
% 266.89/208.16 |-Branch one:
% 266.89/208.16 | (5138) ~ (op(e4, e0) = e2)
% 266.89/208.16 |
% 266.89/208.16 | Using (678) and (5138) yields:
% 266.89/208.16 | (821) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (678) op(e4, e0) = e2
% 266.89/208.16 | (663) all_0_19_19 = e2
% 266.89/208.16 |
% 266.89/208.16 | Equations (663) can reduce 2785 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (515) ~ (all_0_37_37 = e2)
% 266.89/208.16 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 266.89/208.16 |
% 266.89/208.16 +-Applying beta-rule and splitting (16070), into two cases.
% 266.89/208.16 |-Branch one:
% 266.89/208.16 | (443) all_0_27_27 = e2
% 266.89/208.16 |
% 266.89/208.16 | Combining equations (543,443) yields a new equation:
% 266.89/208.16 | (718) e2 = e1
% 266.89/208.16 |
% 266.89/208.16 | Equations (718) can reduce 329 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (500) ~ (all_0_27_27 = e2)
% 266.89/208.16 | (16095) all_0_32_32 = e2 | all_0_37_37 = e2
% 266.89/208.16 |
% 266.89/208.16 +-Applying beta-rule and splitting (16095), into two cases.
% 266.89/208.16 |-Branch one:
% 266.89/208.16 | (1101) all_0_32_32 = e2
% 266.89/208.16 |
% 266.89/208.16 | Combining equations (772,1101) yields a new equation:
% 266.89/208.16 | (3874) e3 = e2
% 266.89/208.16 |
% 266.89/208.16 | Simplifying 3874 yields:
% 266.89/208.16 | (764) e3 = e2
% 266.89/208.16 |
% 266.89/208.16 | Equations (764) can reduce 56 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (508) ~ (all_0_32_32 = e2)
% 266.89/208.16 | (805) all_0_37_37 = e2
% 266.89/208.16 |
% 266.89/208.16 | Equations (805) can reduce 515 to:
% 266.89/208.16 | (366) $false
% 266.89/208.16 |
% 266.89/208.16 |-The branch is then unsatisfiable
% 266.89/208.16 |-Branch two:
% 266.89/208.16 | (21653) ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13
% 266.89/208.16 |
% 266.89/208.16 | Applying alpha-rule on (21653) yields:
% 266.89/208.16 | (21654) ~ (all_0_13_13 = e1)
% 266.89/208.16 | (21655) op(all_0_20_20, all_0_20_20) = all_0_13_13
% 266.89/208.16 |
% 266.89/208.16 | From (736)(736) and (21655) follows:
% 266.89/208.16 | (21656) op(e2, e2) = all_0_13_13
% 266.89/208.16 |
% 266.89/208.16 | Instantiating formula (97) with e2, e2, all_0_13_13, e1 and discharging atoms op(e2, e2) = all_0_13_13, op(e2, e2) = e1, yields:
% 266.89/208.16 | (21657) all_0_13_13 = e1
% 266.89/208.16 |
% 266.89/208.17 | Equations (21657) can reduce 21654 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (1114) ~ (all_0_20_20 = e2)
% 266.89/208.17 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 266.89/208.17 |
% 266.89/208.17 +-Applying beta-rule and splitting (10030), into two cases.
% 266.89/208.17 |-Branch one:
% 266.89/208.17 | (3159) all_0_25_25 = e2
% 266.89/208.17 |
% 266.89/208.17 | Combining equations (1921,3159) yields a new equation:
% 266.89/208.17 | (551) e2 = e0
% 266.89/208.17 |
% 266.89/208.17 | Equations (551) can reduce 347 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (646) ~ (all_0_25_25 = e2)
% 266.89/208.17 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 266.89/208.17 |
% 266.89/208.17 +-Applying beta-rule and splitting (16274), into two cases.
% 266.89/208.17 |-Branch one:
% 266.89/208.17 | (747) all_0_30_30 = e2
% 266.89/208.17 |
% 266.89/208.17 | Equations (747) can reduce 740 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (740) ~ (all_0_30_30 = e2)
% 266.89/208.17 | (797) all_0_35_35 = e2
% 266.89/208.17 |
% 266.89/208.17 | Combining equations (1161,797) yields a new equation:
% 266.89/208.17 | (1111) e4 = e2
% 266.89/208.17 |
% 266.89/208.17 | Simplifying 1111 yields:
% 266.89/208.17 | (539) e4 = e2
% 266.89/208.17 |
% 266.89/208.17 | Equations (539) can reduce 19 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (1089) ~ (all_0_32_32 = e3)
% 266.89/208.17 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 266.89/208.17 |
% 266.89/208.17 +-Applying beta-rule and splitting (1618), into two cases.
% 266.89/208.17 |-Branch one:
% 266.89/208.17 | (1101) all_0_32_32 = e2
% 266.89/208.17 |
% 266.89/208.17 | Equations (1101) can reduce 508 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (508) ~ (all_0_32_32 = e2)
% 266.89/208.17 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 266.89/208.17 |
% 266.89/208.17 +-Applying beta-rule and splitting (1622), into two cases.
% 266.89/208.17 |-Branch one:
% 266.89/208.17 | (1587) all_0_32_32 = e1
% 266.89/208.17 |
% 266.89/208.17 | Equations (1587) can reduce 424 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (424) ~ (all_0_32_32 = e1)
% 266.89/208.17 | (1626) all_0_32_32 = e0
% 266.89/208.17 |
% 266.89/208.17 | Equations (1626) can reduce 1946 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (826) ~ (all_0_22_22 = e0)
% 266.89/208.17 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 266.89/208.17 |
% 266.89/208.17 +-Applying beta-rule and splitting (850), into two cases.
% 266.89/208.17 |-Branch one:
% 266.89/208.17 | (851) all_0_23_23 = e0
% 266.89/208.17 |
% 266.89/208.17 | Equations (851) can reduce 1068 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (1068) ~ (all_0_23_23 = e0)
% 266.89/208.17 | (1069) all_0_24_24 = e0
% 266.89/208.17 |
% 266.89/208.17 | Equations (1069) can reduce 382 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (1064) ~ (all_0_31_31 = e0)
% 266.89/208.17 | (1065) all_0_36_36 = e0
% 266.89/208.17 |
% 266.89/208.17 | Equations (1065) can reduce 386 to:
% 266.89/208.17 | (366) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.17 | (1925) ~ (all_0_25_25 = e0)
% 266.89/208.17 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.89/208.17 |
% 266.89/208.17 +-Applying beta-rule and splitting (1926), into two cases.
% 266.89/208.17 |-Branch one:
% 266.89/208.17 | (883) all_0_26_26 = e0
% 266.89/208.17 |
% 266.89/208.17 | Equations (883) can reduce 128 to:
% 266.89/208.17 | (1925) ~ (all_0_25_25 = e0)
% 266.89/208.17 |
% 266.89/208.17 +-Applying beta-rule and splitting (23), into two cases.
% 266.89/208.17 |-Branch one:
% 266.89/208.17 | (3159) all_0_25_25 = e2
% 266.89/208.17 |
% 266.89/208.17 | From (3159) and (1273) follows:
% 266.89/208.17 | (18457) op(e4, e2) = e2
% 266.89/208.17 |
% 266.89/208.17 +-Applying beta-rule and splitting (19152), into two cases.
% 266.89/208.17 |-Branch one:
% 266.89/208.17 | (19153) ~ (op(e4, e2) = e2)
% 266.89/208.17 |
% 266.89/208.17 | Using (18457) and (19153) yields:
% 266.89/208.17 | (821) $false
% 266.89/208.17 |
% 266.89/208.17 |-The branch is then unsatisfiable
% 266.89/208.17 |-Branch two:
% 266.89/208.18 | (18457) op(e4, e2) = e2
% 266.89/208.18 | (539) e4 = e2
% 266.89/208.18 |
% 266.89/208.18 | Equations (539) can reduce 19 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (646) ~ (all_0_25_25 = e2)
% 266.89/208.18 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (13669), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (2380) all_0_26_26 = e2
% 266.89/208.18 |
% 266.89/208.18 | Combining equations (883,2380) yields a new equation:
% 266.89/208.18 | (551) e2 = e0
% 266.89/208.18 |
% 266.89/208.18 | Equations (551) can reduce 347 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (647) ~ (all_0_26_26 = e2)
% 266.89/208.18 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (245), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (1158) all_0_25_25 = e4
% 266.89/208.18 |
% 266.89/208.18 | From (1158) and (1273) follows:
% 266.89/208.18 | (1335) op(e4, e4) = e2
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (1305), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (1336) ~ (op(e4, e4) = e2)
% 266.89/208.18 |
% 266.89/208.18 | Using (1335) and (1336) yields:
% 266.89/208.18 | (821) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (1335) op(e4, e4) = e2
% 266.89/208.18 | (764) e3 = e2
% 266.89/208.18 |
% 266.89/208.18 | Equations (764) can reduce 56 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (501) ~ (all_0_25_25 = e4)
% 266.89/208.18 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (13681), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (443) all_0_27_27 = e2
% 266.89/208.18 |
% 266.89/208.18 | Combining equations (443,543) yields a new equation:
% 266.89/208.18 | (717) e2 = e1
% 266.89/208.18 |
% 266.89/208.18 | Simplifying 717 yields:
% 266.89/208.18 | (718) e2 = e1
% 266.89/208.18 |
% 266.89/208.18 | Equations (718) can reduce 329 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (500) ~ (all_0_27_27 = e2)
% 266.89/208.18 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (3136), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (2438) all_0_25_25 = e3
% 266.89/208.18 |
% 266.89/208.18 | Equations (2438) can reduce 566 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (566) ~ (all_0_25_25 = e3)
% 266.89/208.18 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (13687), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (1037) all_0_28_28 = e2
% 266.89/208.18 |
% 266.89/208.18 | Equations (1037) can reduce 649 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (649) ~ (all_0_28_28 = e2)
% 266.89/208.18 | (4103) all_0_29_29 = e2
% 266.89/208.18 |
% 266.89/208.18 | Equations (4103) can reduce 62 to:
% 266.89/208.18 | (646) ~ (all_0_25_25 = e2)
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (3158), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (3159) all_0_25_25 = e2
% 266.89/208.18 |
% 266.89/208.18 | Equations (3159) can reduce 646 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (646) ~ (all_0_25_25 = e2)
% 266.89/208.18 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (3162), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (950) all_0_25_25 = e1
% 266.89/208.18 |
% 266.89/208.18 | Equations (950) can reduce 946 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (946) ~ (all_0_25_25 = e1)
% 266.89/208.18 | (1921) all_0_25_25 = e0
% 266.89/208.18 |
% 266.89/208.18 | Equations (1921) can reduce 1925 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (1058) ~ (all_0_26_26 = e0)
% 266.89/208.18 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (2527), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (546) all_0_27_27 = e0
% 266.89/208.18 |
% 266.89/208.18 | Combining equations (546,543) yields a new equation:
% 266.89/208.18 | (961) e1 = e0
% 266.89/208.18 |
% 266.89/208.18 | Equations (961) can reduce 37 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (434) ~ (all_0_27_27 = e0)
% 266.89/208.18 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (2533), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (1044) all_0_28_28 = e0
% 266.89/208.18 |
% 266.89/208.18 | Equations (1044) can reduce 886 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (886) ~ (all_0_28_28 = e0)
% 266.89/208.18 | (2537) all_0_29_29 = e0
% 266.89/208.18 |
% 266.89/208.18 | Equations (2537) can reduce 383 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (1156) ~ (all_0_18_18 = e0)
% 266.89/208.18 | (2703) all_0_19_19 = e0
% 266.89/208.18 |
% 266.89/208.18 | Equations (2703) can reduce 381 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (869) ~ (all_0_17_17 = e4)
% 266.89/208.18 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (59), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (865) all_0_17_17 = e4
% 266.89/208.18 |
% 266.89/208.18 | Equations (865) can reduce 869 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (869) ~ (all_0_17_17 = e4)
% 266.89/208.18 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (166), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (464) all_0_15_15 = e4
% 266.89/208.18 |
% 266.89/208.18 | Combining equations (464,468) yields a new equation:
% 266.89/208.18 | (690) e4 = e3
% 266.89/208.18 |
% 266.89/208.18 | Simplifying 690 yields:
% 266.89/208.18 | (691) e4 = e3
% 266.89/208.18 |
% 266.89/208.18 | Equations (691) can reduce 277 to:
% 266.89/208.18 | (366) $false
% 266.89/208.18 |
% 266.89/208.18 |-The branch is then unsatisfiable
% 266.89/208.18 |-Branch two:
% 266.89/208.18 | (460) ~ (all_0_15_15 = e4)
% 266.89/208.18 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.89/208.18 |
% 266.89/208.18 +-Applying beta-rule and splitting (26), into two cases.
% 266.89/208.18 |-Branch one:
% 266.89/208.18 | (887) all_0_18_18 = e4
% 266.89/208.18 |
% 266.89/208.18 | Equations (887) can reduce 74 to:
% 266.89/208.18 | (869) ~ (all_0_17_17 = e4)
% 266.89/208.18 |
% 266.89/208.18 | Equations (887) can reduce 300 to:
% 266.89/208.18 | (889) ~ (all_0_28_28 = e4)
% 266.89/208.18 |
% 266.89/208.18 | Simplifying 889 yields:
% 266.89/208.18 | (890) ~ (all_0_28_28 = e4)
% 266.89/208.18 |
% 266.89/208.18 | From (887) and (238) follows:
% 266.89/208.19 | (12210) op(e4, all_0_30_30) = e1
% 266.89/208.19 |
% 266.89/208.19 | From (887) and (290) follows:
% 266.89/208.19 | (1426) op(all_0_30_30, e4) = e4
% 266.89/208.19 |
% 266.89/208.19 | From (887) and (61) follows:
% 266.89/208.19 | (1807) op(e4, e1) = e4
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (2584), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (873) all_0_16_16 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (873) can reduce 824 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (824) ~ (all_0_16_16 = e0)
% 266.89/208.19 | (2692) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (2692), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (823) all_0_17_17 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (823) can reduce 184 to:
% 266.89/208.19 | (825) ~ (all_0_22_22 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 825 yields:
% 266.89/208.19 | (826) ~ (all_0_22_22 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (823) can reduce 286 to:
% 266.89/208.19 | (2961) ~ (all_0_32_32 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 2961 yields:
% 266.89/208.19 | (1946) ~ (all_0_32_32 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (823) can reduce 132 to:
% 266.89/208.19 | (3380) ~ (all_0_37_37 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 3380 yields:
% 266.89/208.19 | (387) ~ (all_0_37_37 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (823) can reduce 869 to:
% 266.89/208.19 | (389) ~ (e4 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 389 yields:
% 266.89/208.19 | (287) ~ (e4 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (823) can reduce 1501 to:
% 266.89/208.19 | (395) ~ (e1 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 395 yields:
% 266.89/208.19 | (37) ~ (e1 = e0)
% 266.89/208.19 |
% 266.89/208.19 | From (823) and (57) follows:
% 266.89/208.19 | (14411) op(e0, all_0_25_25) = e2
% 266.89/208.19 |
% 266.89/208.19 | From (823) and (49) follows:
% 266.89/208.19 | (14412) op(all_0_25_25, e0) = e4
% 266.89/208.19 |
% 266.89/208.19 | Instantiating formula (97) with e2, e0, e4, all_0_29_29 and discharging atoms op(e2, e0) = all_0_29_29, yields:
% 266.89/208.19 | (5590) all_0_29_29 = e4 | ~ (op(e2, e0) = e4)
% 266.89/208.19 |
% 266.89/208.19 | Instantiating formula (97) with e0, e4, e4, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 266.89/208.19 | (19107) all_0_35_35 = e4 | ~ (op(e0, e4) = e4)
% 266.89/208.19 |
% 266.89/208.19 | Instantiating formula (97) with e4, e4, e1, e3 and discharging atoms op(e4, e4) = e3, yields:
% 266.89/208.19 | (23252) e3 = e1 | ~ (op(e4, e4) = e1)
% 266.89/208.19 |
% 266.89/208.19 | Instantiating formula (97) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, yields:
% 266.89/208.19 | (23253) e4 = e1 | ~ (op(e4, e1) = e1)
% 266.89/208.19 |
% 266.89/208.19 | Instantiating formula (97) with e0, e2, e2, all_0_37_37 and discharging atoms op(e0, e2) = all_0_37_37, yields:
% 266.89/208.19 | (23254) all_0_37_37 = e2 | ~ (op(e0, e2) = e2)
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (203), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (1980) all_0_17_17 = e2
% 266.89/208.19 |
% 266.89/208.19 | Combining equations (823,1980) yields a new equation:
% 266.89/208.19 | (551) e2 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (551) can reduce 347 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (459) ~ (all_0_17_17 = e2)
% 266.89/208.19 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 266.89/208.19 |
% 266.89/208.19 | Equations (823) can reduce 459 to:
% 266.89/208.19 | (393) ~ (e2 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 393 yields:
% 266.89/208.19 | (347) ~ (e2 = e0)
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (153), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (831) all_0_22_22 = e4
% 266.89/208.19 |
% 266.89/208.19 | Equations (831) can reduce 576 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (576) ~ (all_0_22_22 = e4)
% 266.89/208.19 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (323), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (476) all_0_15_15 = e1
% 266.89/208.19 |
% 266.89/208.19 | Combining equations (476,468) yields a new equation:
% 266.89/208.19 | (706) e3 = e1
% 266.89/208.19 |
% 266.89/208.19 | Equations (706) can reduce 318 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (482) ~ (all_0_15_15 = e1)
% 266.89/208.19 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 266.89/208.19 |
% 266.89/208.19 | Equations (468) can reduce 482 to:
% 266.89/208.19 | (318) ~ (e3 = e1)
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (127), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (790) all_0_30_30 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (790) can reduce 116 to:
% 266.89/208.19 | (839) ~ (all_0_20_20 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (790) can reduce 58 to:
% 266.89/208.19 | (1925) ~ (all_0_25_25 = e0)
% 266.89/208.19 |
% 266.89/208.19 | From (790) and (1426) follows:
% 266.89/208.19 | (19463) op(e0, e4) = e4
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (135), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (835) all_0_20_20 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (835) can reduce 839 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (839) ~ (all_0_20_20 = e0)
% 266.89/208.19 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (840), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (529) all_0_21_21 = e0
% 266.89/208.19 |
% 266.89/208.19 | Combining equations (449,529) yields a new equation:
% 266.89/208.19 | (842) e4 = e0
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 842 yields:
% 266.89/208.19 | (490) e4 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (490) can reduce 287 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (398) ~ (all_0_21_21 = e0)
% 266.89/208.19 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (846), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (847) all_0_22_22 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (847) can reduce 826 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (826) ~ (all_0_22_22 = e0)
% 266.89/208.19 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (850), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (851) all_0_23_23 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (851) can reduce 346 to:
% 266.89/208.19 | (826) ~ (all_0_22_22 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (851) can reduce 86 to:
% 266.89/208.19 | (885) ~ (all_0_28_28 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 885 yields:
% 266.89/208.19 | (886) ~ (all_0_28_28 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (851) can reduce 39 to:
% 266.89/208.19 | (1285) ~ (all_0_38_38 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 1285 yields:
% 266.89/208.19 | (388) ~ (all_0_38_38 = e0)
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (259), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (1278) all_0_18_18 = e1
% 266.89/208.19 |
% 266.89/208.19 | Combining equations (887,1278) yields a new equation:
% 266.89/208.19 | (955) e4 = e1
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 955 yields:
% 266.89/208.19 | (480) e4 = e1
% 266.89/208.19 |
% 266.89/208.19 | Equations (480) can reduce 65 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (419) ~ (all_0_18_18 = e1)
% 266.89/208.19 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (8300), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (3952) all_0_23_23 = e1
% 266.89/208.19 |
% 266.89/208.19 | Combining equations (851,3952) yields a new equation:
% 266.89/208.19 | (961) e1 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (961) can reduce 37 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (420) ~ (all_0_23_23 = e1)
% 266.89/208.19 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 266.89/208.19 |
% 266.89/208.19 | Equations (851) can reduce 420 to:
% 266.89/208.19 | (395) ~ (e1 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 395 yields:
% 266.89/208.19 | (37) ~ (e1 = e0)
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (241), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (1921) all_0_25_25 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (1921) can reduce 1925 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (1925) ~ (all_0_25_25 = e0)
% 266.89/208.19 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (338), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (892) all_0_28_28 = e4
% 266.89/208.19 |
% 266.89/208.19 | Equations (892) can reduce 890 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (890) ~ (all_0_28_28 = e4)
% 266.89/208.19 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (17548), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (1041) all_0_28_28 = e1
% 266.89/208.19 |
% 266.89/208.19 | Equations (1041) can reduce 421 to:
% 266.89/208.19 | (366) $false
% 266.89/208.19 |
% 266.89/208.19 |-The branch is then unsatisfiable
% 266.89/208.19 |-Branch two:
% 266.89/208.19 | (421) ~ (all_0_28_28 = e1)
% 266.89/208.19 | (17553) all_0_33_33 = e1 | all_0_38_38 = e1
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (1926), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (883) all_0_26_26 = e0
% 266.89/208.19 |
% 266.89/208.19 | Equations (883) can reduce 128 to:
% 266.89/208.19 | (1925) ~ (all_0_25_25 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (883) can reduce 46 to:
% 266.89/208.19 | (885) ~ (all_0_28_28 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 885 yields:
% 266.89/208.19 | (886) ~ (all_0_28_28 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (883) can reduce 38 to:
% 266.89/208.19 | (3455) ~ (all_0_29_29 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 3455 yields:
% 266.89/208.19 | (383) ~ (all_0_29_29 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Equations (883) can reduce 170 to:
% 266.89/208.19 | (3457) ~ (all_0_36_36 = e0)
% 266.89/208.19 |
% 266.89/208.19 | Simplifying 3457 yields:
% 266.89/208.19 | (386) ~ (all_0_36_36 = e0)
% 266.89/208.19 |
% 266.89/208.19 +-Applying beta-rule and splitting (895), into two cases.
% 266.89/208.19 |-Branch one:
% 266.89/208.19 | (896) all_0_28_28 = e3
% 266.89/208.19 |
% 266.89/208.19 | Equations (896) can reduce 193 to:
% 266.89/208.19 | (566) ~ (all_0_25_25 = e3)
% 266.89/208.19 |
% 266.89/208.20 | Equations (896) can reduce 198 to:
% 266.89/208.20 | (2070) ~ (all_0_38_38 = e3)
% 266.89/208.20 |
% 266.89/208.20 | Simplifying 2070 yields:
% 266.89/208.20 | (1080) ~ (all_0_38_38 = e3)
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (17553), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (418) all_0_33_33 = e1
% 266.89/208.20 |
% 266.89/208.20 | Combining equations (414,418) yields a new equation:
% 266.89/208.20 | (717) e2 = e1
% 266.89/208.20 |
% 266.89/208.20 | Simplifying 717 yields:
% 266.89/208.20 | (718) e2 = e1
% 266.89/208.20 |
% 266.89/208.20 | Equations (718) can reduce 329 to:
% 266.89/208.20 | (366) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (507) ~ (all_0_33_33 = e1)
% 266.89/208.20 | (1211) all_0_38_38 = e1
% 266.89/208.20 |
% 266.89/208.20 | Equations (1211) can reduce 173 to:
% 266.89/208.20 | (1177) ~ (all_0_35_35 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Equations (1211) can reduce 93 to:
% 266.89/208.20 | (1593) ~ (all_0_36_36 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Equations (1211) can reduce 1080 to:
% 266.89/208.20 | (429) ~ (e3 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Simplifying 429 yields:
% 266.89/208.20 | (318) ~ (e3 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Equations (1211) can reduce 388 to:
% 266.89/208.20 | (37) ~ (e1 = e0)
% 266.89/208.20 |
% 266.89/208.20 | From (1211) and (181) follows:
% 266.89/208.20 | (23344) op(all_0_34_34, e1) = e0
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (29), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (476) all_0_15_15 = e1
% 266.89/208.20 |
% 266.89/208.20 | Combining equations (476,468) yields a new equation:
% 266.89/208.20 | (706) e3 = e1
% 266.89/208.20 |
% 266.89/208.20 | Equations (706) can reduce 318 to:
% 266.89/208.20 | (366) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (482) ~ (all_0_15_15 = e1)
% 266.89/208.20 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (937), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (1175) all_0_20_20 = e1
% 266.89/208.20 |
% 266.89/208.20 | Equations (1175) can reduce 211 to:
% 266.89/208.20 | (3383) ~ (all_0_22_22 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Simplifying 3383 yields:
% 266.89/208.20 | (1018) ~ (all_0_22_22 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Equations (1175) can reduce 95 to:
% 266.89/208.20 | (4378) ~ (all_0_25_25 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Simplifying 4378 yields:
% 266.89/208.20 | (946) ~ (all_0_25_25 = e1)
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (601), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (3920) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Applying alpha-rule on (3920) yields:
% 266.89/208.20 | (3371) all_0_14_14 = all_0_20_20
% 266.89/208.20 | (1409) ~ (all_0_20_20 = e1)
% 266.89/208.20 |
% 266.89/208.20 | Equations (1175) can reduce 1409 to:
% 266.89/208.20 | (366) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (23359) all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13))
% 266.89/208.20 |
% 266.89/208.20 | Applying alpha-rule on (23359) yields:
% 266.89/208.20 | (3371) all_0_14_14 = all_0_20_20
% 266.89/208.20 | (23361) ( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_20_20, all_0_20_20) = all_0_13_13)
% 266.89/208.20 |
% 266.89/208.20 | Combining equations (1175,3371) yields a new equation:
% 266.89/208.20 | (3681) all_0_14_14 = e1
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (19107), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (19478) ~ (op(e0, e4) = e4)
% 266.89/208.20 |
% 266.89/208.20 | Using (19463) and (19478) yields:
% 266.89/208.20 | (821) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (19463) op(e0, e4) = e4
% 266.89/208.20 | (1161) all_0_35_35 = e4
% 266.89/208.20 |
% 266.89/208.20 | Equations (1161) can reduce 98 to:
% 266.89/208.20 | (501) ~ (all_0_25_25 = e4)
% 266.89/208.20 |
% 266.89/208.20 | Equations (1161) can reduce 273 to:
% 266.89/208.20 | (585) ~ (all_0_36_36 = e4)
% 266.89/208.20 |
% 266.89/208.20 | Simplifying 585 yields:
% 266.89/208.20 | (586) ~ (all_0_36_36 = e4)
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (285), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (1158) all_0_25_25 = e4
% 266.89/208.20 |
% 266.89/208.20 | Equations (1158) can reduce 501 to:
% 266.89/208.20 | (366) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (501) ~ (all_0_25_25 = e4)
% 266.89/208.20 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (245), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (1158) all_0_25_25 = e4
% 266.89/208.20 |
% 266.89/208.20 | Equations (1158) can reduce 501 to:
% 266.89/208.20 | (366) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (501) ~ (all_0_25_25 = e4)
% 266.89/208.20 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (3136), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (2438) all_0_25_25 = e3
% 266.89/208.20 |
% 266.89/208.20 | Equations (2438) can reduce 566 to:
% 266.89/208.20 | (366) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (566) ~ (all_0_25_25 = e3)
% 266.89/208.20 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (3158), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (3159) all_0_25_25 = e2
% 266.89/208.20 |
% 266.89/208.20 | Equations (3159) can reduce 62 to:
% 266.89/208.20 | (650) ~ (all_0_29_29 = e2)
% 266.89/208.20 |
% 266.89/208.20 | Simplifying 650 yields:
% 266.89/208.20 | (651) ~ (all_0_29_29 = e2)
% 266.89/208.20 |
% 266.89/208.20 | From (3159) and (14412) follows:
% 266.89/208.20 | (5715) op(e2, e0) = e4
% 266.89/208.20 |
% 266.89/208.20 | From (3159) and (14411) follows:
% 266.89/208.20 | (23386) op(e0, e2) = e2
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (5590), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (5720) ~ (op(e2, e0) = e4)
% 266.89/208.20 |
% 266.89/208.20 | Using (5715) and (5720) yields:
% 266.89/208.20 | (821) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (5715) op(e2, e0) = e4
% 266.89/208.20 | (1250) all_0_29_29 = e4
% 266.89/208.20 |
% 266.89/208.20 | Equations (1250) can reduce 41 to:
% 266.89/208.20 | (2206) ~ (all_0_34_34 = e4)
% 266.89/208.20 |
% 266.89/208.20 | Simplifying 2206 yields:
% 266.89/208.20 | (1395) ~ (all_0_34_34 = e4)
% 266.89/208.20 |
% 266.89/208.20 | Equations (1250) can reduce 651 to:
% 266.89/208.20 | (19) ~ (e4 = e2)
% 266.89/208.20 |
% 266.89/208.20 | Equations (1250) can reduce 383 to:
% 266.89/208.20 | (287) ~ (e4 = e0)
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (327), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (768) all_0_30_30 = e4
% 266.89/208.20 |
% 266.89/208.20 | Combining equations (790,768) yields a new equation:
% 266.89/208.20 | (490) e4 = e0
% 266.89/208.20 |
% 266.89/208.20 | Equations (490) can reduce 287 to:
% 266.89/208.20 | (366) $false
% 266.89/208.20 |
% 266.89/208.20 |-The branch is then unsatisfiable
% 266.89/208.20 |-Branch two:
% 266.89/208.20 | (509) ~ (all_0_30_30 = e4)
% 266.89/208.20 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.89/208.20 |
% 266.89/208.20 +-Applying beta-rule and splitting (1437), into two cases.
% 266.89/208.20 |-Branch one:
% 266.89/208.20 | (1446) all_0_31_31 = e4
% 266.89/208.20 |
% 266.89/208.21 | Equations (1446) can reduce 584 to:
% 266.89/208.21 | (366) $false
% 266.89/208.21 |
% 266.89/208.21 |-The branch is then unsatisfiable
% 266.89/208.21 |-Branch two:
% 266.89/208.21 | (584) ~ (all_0_31_31 = e4)
% 266.89/208.21 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.89/208.21 |
% 266.89/208.21 +-Applying beta-rule and splitting (1449), into two cases.
% 266.89/208.21 |-Branch one:
% 266.89/208.21 | (1229) all_0_32_32 = e4
% 266.89/208.21 |
% 266.89/208.21 | Equations (1229) can reduce 63 to:
% 266.89/208.21 | (576) ~ (all_0_22_22 = e4)
% 266.89/208.21 |
% 266.89/208.21 | Equations (1229) can reduce 336 to:
% 266.89/208.21 | (3299) ~ (all_0_37_37 = e4)
% 266.89/208.21 |
% 266.89/208.21 | Simplifying 3299 yields:
% 266.89/208.21 | (2658) ~ (all_0_37_37 = e4)
% 266.89/208.21 |
% 266.89/208.21 +-Applying beta-rule and splitting (23254), into two cases.
% 266.89/208.21 |-Branch one:
% 266.89/208.21 | (23408) ~ (op(e0, e2) = e2)
% 266.89/208.21 |
% 266.96/208.21 | Using (23386) and (23408) yields:
% 266.96/208.21 | (821) $false
% 266.96/208.21 |
% 266.96/208.21 |-The branch is then unsatisfiable
% 266.96/208.21 |-Branch two:
% 266.96/208.21 | (23386) op(e0, e2) = e2
% 266.96/208.21 | (805) all_0_37_37 = e2
% 266.96/208.21 |
% 266.96/208.21 | Equations (805) can reduce 202 to:
% 266.96/208.21 | (493) ~ (all_0_22_22 = e2)
% 266.96/208.21 |
% 266.96/208.21 | Equations (805) can reduce 183 to:
% 266.96/208.21 | (756) ~ (all_0_36_36 = e2)
% 266.96/208.21 |
% 266.96/208.21 | Equations (805) can reduce 2658 to:
% 266.96/208.21 | (444) ~ (e4 = e2)
% 266.96/208.21 |
% 266.96/208.21 | Simplifying 444 yields:
% 266.96/208.21 | (19) ~ (e4 = e2)
% 266.96/208.21 |
% 266.96/208.21 | Equations (805) can reduce 387 to:
% 266.96/208.21 | (347) ~ (e2 = e0)
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (834), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (857) all_0_22_22 = e3
% 266.96/208.21 |
% 266.96/208.21 | Equations (857) can reduce 268 to:
% 266.96/208.21 | (3506) ~ (all_0_24_24 = e3)
% 266.96/208.21 |
% 266.96/208.21 | Simplifying 3506 yields:
% 266.96/208.21 | (963) ~ (all_0_24_24 = e3)
% 266.96/208.21 |
% 266.96/208.21 | Equations (857) can reduce 576 to:
% 266.96/208.21 | (695) ~ (e4 = e3)
% 266.96/208.21 |
% 266.96/208.21 | Simplifying 695 yields:
% 266.96/208.21 | (277) ~ (e4 = e3)
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (609), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (3920) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)
% 266.96/208.21 |
% 266.96/208.21 | Applying alpha-rule on (3920) yields:
% 266.96/208.21 | (3371) all_0_14_14 = all_0_20_20
% 266.96/208.21 | (1409) ~ (all_0_20_20 = e1)
% 266.96/208.21 |
% 266.96/208.21 | Combining equations (3371,3681) yields a new equation:
% 266.96/208.21 | (3923) all_0_20_20 = e1
% 266.96/208.21 |
% 266.96/208.21 | Simplifying 3923 yields:
% 266.96/208.21 | (1175) all_0_20_20 = e1
% 266.96/208.21 |
% 266.96/208.21 | Equations (1175) can reduce 1409 to:
% 266.96/208.21 | (366) $false
% 266.96/208.21 |
% 266.96/208.21 |-The branch is then unsatisfiable
% 266.96/208.21 |-Branch two:
% 266.96/208.21 | (3926) all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13))
% 266.96/208.21 |
% 266.96/208.21 | Applying alpha-rule on (3926) yields:
% 266.96/208.21 | (3371) all_0_14_14 = all_0_20_20
% 266.96/208.21 | (3928) ( ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13)
% 266.96/208.21 |
% 266.96/208.21 | Combining equations (3371,3681) yields a new equation:
% 266.96/208.21 | (3923) all_0_20_20 = e1
% 266.96/208.21 |
% 266.96/208.21 | Simplifying 3923 yields:
% 266.96/208.21 | (1175) all_0_20_20 = e1
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (164), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (814) all_0_35_35 = e3
% 266.96/208.21 |
% 266.96/208.21 | Combining equations (814,1161) yields a new equation:
% 266.96/208.21 | (691) e4 = e3
% 266.96/208.21 |
% 266.96/208.21 | Equations (691) can reduce 277 to:
% 266.96/208.21 | (366) $false
% 266.96/208.21 |
% 266.96/208.21 |-The branch is then unsatisfiable
% 266.96/208.21 |-Branch two:
% 266.96/208.21 | (570) ~ (all_0_35_35 = e3)
% 266.96/208.21 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 266.96/208.21 |
% 266.96/208.21 | Equations (1161) can reduce 570 to:
% 266.96/208.21 | (277) ~ (e4 = e3)
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (230), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (927) all_0_19_19 = e3
% 266.96/208.21 |
% 266.96/208.21 | Equations (927) can reduce 562 to:
% 266.96/208.21 | (366) $false
% 266.96/208.21 |
% 266.96/208.21 |-The branch is then unsatisfiable
% 266.96/208.21 |-Branch two:
% 266.96/208.21 | (562) ~ (all_0_19_19 = e3)
% 266.96/208.21 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (340), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (697) all_0_16_16 = e2
% 266.96/208.21 |
% 266.96/208.21 | Equations (697) can reduce 64 to:
% 266.96/208.21 | (755) ~ (all_0_36_36 = e2)
% 266.96/208.21 |
% 266.96/208.21 | Simplifying 755 yields:
% 266.96/208.21 | (756) ~ (all_0_36_36 = e2)
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (187), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (2611) all_0_36_36 = e4
% 266.96/208.21 |
% 266.96/208.21 | Equations (2611) can reduce 586 to:
% 266.96/208.21 | (366) $false
% 266.96/208.21 |
% 266.96/208.21 |-The branch is then unsatisfiable
% 266.96/208.21 |-Branch two:
% 266.96/208.21 | (586) ~ (all_0_36_36 = e4)
% 266.96/208.21 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (931), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (939) all_0_24_24 = e3
% 266.96/208.21 |
% 266.96/208.21 | Equations (939) can reduce 963 to:
% 266.96/208.21 | (366) $false
% 266.96/208.21 |
% 266.96/208.21 |-The branch is then unsatisfiable
% 266.96/208.21 |-Branch two:
% 266.96/208.21 | (963) ~ (all_0_24_24 = e3)
% 266.96/208.21 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (964), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (1023) all_0_29_29 = e3
% 266.96/208.21 |
% 266.96/208.21 | Combining equations (1250,1023) yields a new equation:
% 266.96/208.21 | (690) e4 = e3
% 266.96/208.21 |
% 266.96/208.21 | Simplifying 690 yields:
% 266.96/208.21 | (691) e4 = e3
% 266.96/208.21 |
% 266.96/208.21 | Equations (691) can reduce 277 to:
% 266.96/208.21 | (366) $false
% 266.96/208.21 |
% 266.96/208.21 |-The branch is then unsatisfiable
% 266.96/208.21 |-Branch two:
% 266.96/208.21 | (898) ~ (all_0_29_29 = e3)
% 266.96/208.21 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (2614), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (818) all_0_36_36 = e3
% 266.96/208.21 |
% 266.96/208.21 | Equations (818) can reduce 386 to:
% 266.96/208.21 | (88) ~ (e3 = e0)
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (155), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (759) all_0_30_30 = e3
% 266.96/208.21 |
% 266.96/208.21 | Combining equations (790,759) yields a new equation:
% 266.96/208.21 | (980) e3 = e0
% 266.96/208.21 |
% 266.96/208.21 | Equations (980) can reduce 88 to:
% 266.96/208.21 | (366) $false
% 266.96/208.21 |
% 266.96/208.21 |-The branch is then unsatisfiable
% 266.96/208.21 |-Branch two:
% 266.96/208.21 | (568) ~ (all_0_30_30 = e3)
% 266.96/208.21 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 266.96/208.21 |
% 266.96/208.21 | Equations (790) can reduce 568 to:
% 266.96/208.21 | (391) ~ (e3 = e0)
% 266.96/208.21 |
% 266.96/208.21 | Simplifying 391 yields:
% 266.96/208.21 | (88) ~ (e3 = e0)
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (1026), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (1027) all_0_34_34 = e3
% 266.96/208.21 |
% 266.96/208.21 | From (1027) and (23344) follows:
% 266.96/208.21 | (12927) op(e3, e1) = e0
% 266.96/208.21 |
% 266.96/208.21 +-Applying beta-rule and splitting (3928), into two cases.
% 266.96/208.21 |-Branch one:
% 266.96/208.21 | (21627) ~ (all_0_12_12 = e0) & op(e3, all_0_20_20) = all_0_12_12
% 266.96/208.21 |
% 266.96/208.21 | Applying alpha-rule on (21627) yields:
% 266.96/208.21 | (21628) ~ (all_0_12_12 = e0)
% 266.96/208.21 | (21629) op(e3, all_0_20_20) = all_0_12_12
% 266.96/208.21 |
% 266.96/208.21 | From (1175) and (21629) follows:
% 266.96/208.22 | (23474) op(e3, e1) = all_0_12_12
% 266.96/208.22 |
% 266.96/208.22 | Instantiating formula (97) with e3, e1, e0, all_0_12_12 and discharging atoms op(e3, e1) = all_0_12_12, op(e3, e1) = e0, yields:
% 266.96/208.22 | (21643) all_0_12_12 = e0
% 266.96/208.22 |
% 266.96/208.22 | Equations (21643) can reduce 21628 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (23477) ~ (all_0_13_13 = e2) & op(all_0_20_20, all_0_20_20) = all_0_13_13
% 266.96/208.22 |
% 266.96/208.22 | Applying alpha-rule on (23477) yields:
% 266.96/208.22 | (23478) ~ (all_0_13_13 = e2)
% 266.96/208.22 | (21655) op(all_0_20_20, all_0_20_20) = all_0_13_13
% 266.96/208.22 |
% 266.96/208.22 | From (1175)(1175) and (21655) follows:
% 266.96/208.22 | (23480) op(e1, e1) = all_0_13_13
% 266.96/208.22 |
% 266.96/208.22 | Instantiating formula (97) with e1, e1, all_0_13_13, e2 and discharging atoms op(e1, e1) = all_0_13_13, op(e1, e1) = e2, yields:
% 266.96/208.22 | (23481) all_0_13_13 = e2
% 266.96/208.22 |
% 266.96/208.22 | Equations (23481) can reduce 23478 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (1031) ~ (all_0_34_34 = e3)
% 266.96/208.22 | (369) all_0_39_39 = e3
% 266.96/208.22 |
% 266.96/208.22 | Combining equations (380,369) yields a new equation:
% 266.96/208.22 | (980) e3 = e0
% 266.96/208.22 |
% 266.96/208.22 | Equations (980) can reduce 88 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (516) ~ (all_0_36_36 = e3)
% 266.96/208.22 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 266.96/208.22 |
% 266.96/208.22 +-Applying beta-rule and splitting (3567), into two cases.
% 266.96/208.22 |-Branch one:
% 266.96/208.22 | (801) all_0_36_36 = e2
% 266.96/208.22 |
% 266.96/208.22 | Equations (801) can reduce 756 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (756) ~ (all_0_36_36 = e2)
% 266.96/208.22 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 266.96/208.22 |
% 266.96/208.22 +-Applying beta-rule and splitting (3571), into two cases.
% 266.96/208.22 |-Branch one:
% 266.96/208.22 | (1015) all_0_36_36 = e1
% 266.96/208.22 |
% 266.96/208.22 | Equations (1015) can reduce 1593 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (1593) ~ (all_0_36_36 = e1)
% 266.96/208.22 | (1065) all_0_36_36 = e0
% 266.96/208.22 |
% 266.96/208.22 | Equations (1065) can reduce 386 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (664) ~ (all_0_16_16 = e2)
% 266.96/208.22 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.96/208.22 |
% 266.96/208.22 +-Applying beta-rule and splitting (700), into two cases.
% 266.96/208.22 |-Branch one:
% 266.96/208.22 | (522) all_0_21_21 = e2
% 266.96/208.22 |
% 266.96/208.22 | Combining equations (522,449) yields a new equation:
% 266.96/208.22 | (539) e4 = e2
% 266.96/208.22 |
% 266.96/208.22 | Equations (539) can reduce 19 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (361) ~ (all_0_21_21 = e2)
% 266.96/208.22 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 266.96/208.22 |
% 266.96/208.22 +-Applying beta-rule and splitting (2289), into two cases.
% 266.96/208.22 |-Branch one:
% 266.96/208.22 | (2380) all_0_26_26 = e2
% 266.96/208.22 |
% 266.96/208.22 | Combining equations (883,2380) yields a new equation:
% 266.96/208.22 | (551) e2 = e0
% 266.96/208.22 |
% 266.96/208.22 | Equations (551) can reduce 347 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (647) ~ (all_0_26_26 = e2)
% 266.96/208.22 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 266.96/208.22 |
% 266.96/208.22 +-Applying beta-rule and splitting (2383), into two cases.
% 266.96/208.22 |-Branch one:
% 266.96/208.22 | (751) all_0_31_31 = e2
% 266.96/208.22 |
% 266.96/208.22 | Equations (751) can reduce 1099 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.22 |-Branch two:
% 266.96/208.22 | (1099) ~ (all_0_31_31 = e2)
% 266.96/208.22 | (801) all_0_36_36 = e2
% 266.96/208.22 |
% 266.96/208.22 | Equations (801) can reduce 756 to:
% 266.96/208.22 | (366) $false
% 266.96/208.22 |
% 266.96/208.22 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (774) ~ (all_0_22_22 = e3)
% 266.96/208.23 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (860), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (917) all_0_22_22 = e2
% 266.96/208.23 |
% 266.96/208.23 | Equations (917) can reduce 493 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (493) ~ (all_0_22_22 = e2)
% 266.96/208.23 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (920), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (999) all_0_22_22 = e1
% 266.96/208.23 |
% 266.96/208.23 | Equations (999) can reduce 1018 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (1018) ~ (all_0_22_22 = e1)
% 266.96/208.23 | (847) all_0_22_22 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (847) can reduce 826 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (727) ~ (all_0_32_32 = e4)
% 266.96/208.23 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (1476), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (406) all_0_33_33 = e4
% 266.96/208.23 |
% 266.96/208.23 | Combining equations (414,406) yields a new equation:
% 266.96/208.23 | (539) e4 = e2
% 266.96/208.23 |
% 266.96/208.23 | Equations (539) can reduce 19 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (405) ~ (all_0_33_33 = e4)
% 266.96/208.23 | (723) all_0_34_34 = e4
% 266.96/208.23 |
% 266.96/208.23 | Equations (723) can reduce 1395 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (646) ~ (all_0_25_25 = e2)
% 266.96/208.23 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (3162), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (950) all_0_25_25 = e1
% 266.96/208.23 |
% 266.96/208.23 | Equations (950) can reduce 946 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (946) ~ (all_0_25_25 = e1)
% 266.96/208.23 | (1921) all_0_25_25 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (1921) can reduce 1925 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (1409) ~ (all_0_20_20 = e1)
% 266.96/208.23 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (1656), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (950) all_0_25_25 = e1
% 266.96/208.23 |
% 266.96/208.23 | Equations (950) can reduce 946 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (946) ~ (all_0_25_25 = e1)
% 266.96/208.23 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (1676), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (787) all_0_30_30 = e1
% 266.96/208.23 |
% 266.96/208.23 | Combining equations (790,787) yields a new equation:
% 266.96/208.23 | (961) e1 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (961) can reduce 37 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (422) ~ (all_0_30_30 = e1)
% 266.96/208.23 | (1196) all_0_35_35 = e1
% 266.96/208.23 |
% 266.96/208.23 | Equations (1196) can reduce 1177 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (1035) ~ (all_0_28_28 = e3)
% 266.96/208.23 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (1036), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (1037) all_0_28_28 = e2
% 266.96/208.23 |
% 266.96/208.23 | Equations (1037) can reduce 649 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (649) ~ (all_0_28_28 = e2)
% 266.96/208.23 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (1040), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (1041) all_0_28_28 = e1
% 266.96/208.23 |
% 266.96/208.23 | Equations (1041) can reduce 421 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (421) ~ (all_0_28_28 = e1)
% 266.96/208.23 | (1044) all_0_28_28 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (1044) can reduce 886 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (1058) ~ (all_0_26_26 = e0)
% 266.96/208.23 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (2527), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (546) all_0_27_27 = e0
% 266.96/208.23 |
% 266.96/208.23 | Combining equations (543,546) yields a new equation:
% 266.96/208.23 | (960) e1 = e0
% 266.96/208.23 |
% 266.96/208.23 | Simplifying 960 yields:
% 266.96/208.23 | (961) e1 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (961) can reduce 37 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (434) ~ (all_0_27_27 = e0)
% 266.96/208.23 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (2533), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (1044) all_0_28_28 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (1044) can reduce 886 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (886) ~ (all_0_28_28 = e0)
% 266.96/208.23 | (2537) all_0_29_29 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (2537) can reduce 383 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (1068) ~ (all_0_23_23 = e0)
% 266.96/208.23 | (1069) all_0_24_24 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (1069) can reduce 382 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (1878) ~ (all_0_30_30 = e0)
% 266.96/208.23 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (1879), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (1060) all_0_31_31 = e0
% 266.96/208.23 |
% 266.96/208.23 | Equations (1060) can reduce 217 to:
% 266.96/208.23 | (1878) ~ (all_0_30_30 = e0)
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (159), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (787) all_0_30_30 = e1
% 266.96/208.23 |
% 266.96/208.23 | From (787) and (12210) follows:
% 266.96/208.23 | (16329) op(e4, e1) = e1
% 266.96/208.23 |
% 266.96/208.23 +-Applying beta-rule and splitting (23253), into two cases.
% 266.96/208.23 |-Branch one:
% 266.96/208.23 | (16330) ~ (op(e4, e1) = e1)
% 266.96/208.23 |
% 266.96/208.23 | Using (16329) and (16330) yields:
% 266.96/208.23 | (821) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.23 |-Branch two:
% 266.96/208.23 | (16329) op(e4, e1) = e1
% 266.96/208.23 | (480) e4 = e1
% 266.96/208.23 |
% 266.96/208.23 | Equations (480) can reduce 65 to:
% 266.96/208.23 | (366) $false
% 266.96/208.23 |
% 266.96/208.23 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (422) ~ (all_0_30_30 = e1)
% 266.96/208.24 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (239), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (768) all_0_30_30 = e4
% 266.96/208.24 |
% 266.96/208.24 | From (768) and (12210) follows:
% 266.96/208.24 | (5450) op(e4, e4) = e1
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (23252), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (16309) ~ (op(e4, e4) = e1)
% 266.96/208.24 |
% 266.96/208.24 | Using (5450) and (16309) yields:
% 266.96/208.24 | (821) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (5450) op(e4, e4) = e1
% 266.96/208.24 | (706) e3 = e1
% 266.96/208.24 |
% 266.96/208.24 | Equations (706) can reduce 318 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (509) ~ (all_0_30_30 = e4)
% 266.96/208.24 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (771), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (759) all_0_30_30 = e3
% 266.96/208.24 |
% 266.96/208.24 | Equations (759) can reduce 568 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (568) ~ (all_0_30_30 = e3)
% 266.96/208.24 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (782), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (747) all_0_30_30 = e2
% 266.96/208.24 |
% 266.96/208.24 | Equations (747) can reduce 740 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (740) ~ (all_0_30_30 = e2)
% 266.96/208.24 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (786), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (787) all_0_30_30 = e1
% 266.96/208.24 |
% 266.96/208.24 | Equations (787) can reduce 422 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (422) ~ (all_0_30_30 = e1)
% 266.96/208.24 | (790) all_0_30_30 = e0
% 266.96/208.24 |
% 266.96/208.24 | Equations (790) can reduce 1878 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (1064) ~ (all_0_31_31 = e0)
% 266.96/208.24 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (1883), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (1626) all_0_32_32 = e0
% 266.96/208.24 |
% 266.96/208.24 | Equations (1626) can reduce 1946 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (1946) ~ (all_0_32_32 = e0)
% 266.96/208.24 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (1947), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (1254) all_0_33_33 = e0
% 266.96/208.24 |
% 266.96/208.24 | Combining equations (414,1254) yields a new equation:
% 266.96/208.24 | (836) e2 = e0
% 266.96/208.24 |
% 266.96/208.24 | Simplifying 836 yields:
% 266.96/208.24 | (551) e2 = e0
% 266.96/208.24 |
% 266.96/208.24 | Equations (551) can reduce 347 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (399) ~ (all_0_33_33 = e0)
% 266.96/208.24 | (1717) all_0_34_34 = e0
% 266.96/208.24 |
% 266.96/208.24 | Equations (1717) can reduce 384 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (2422) ~ (all_0_17_17 = e0)
% 266.96/208.24 | (2697) all_0_18_18 = e0 | all_0_19_19 = e0
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (2697), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (1153) all_0_18_18 = e0
% 266.96/208.24 |
% 266.96/208.24 | Combining equations (887,1153) yields a new equation:
% 266.96/208.24 | (842) e4 = e0
% 266.96/208.24 |
% 266.96/208.24 | Simplifying 842 yields:
% 266.96/208.24 | (490) e4 = e0
% 266.96/208.24 |
% 266.96/208.24 | Equations (490) can reduce 287 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (1156) ~ (all_0_18_18 = e0)
% 266.96/208.24 | (2703) all_0_19_19 = e0
% 266.96/208.24 |
% 266.96/208.24 | Equations (2703) can reduce 381 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (1046) ~ (all_0_18_18 = e4)
% 266.96/208.24 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (694), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (701) all_0_16_16 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (701) can reduce 573 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (573) ~ (all_0_16_16 = e4)
% 266.96/208.24 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (864), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (865) all_0_17_17 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (865) can reduce 869 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (869) ~ (all_0_17_17 = e4)
% 266.96/208.24 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (870), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (887) all_0_18_18 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (887) can reduce 1046 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (1046) ~ (all_0_18_18 = e4)
% 266.96/208.24 | (711) all_0_19_19 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (711) can reduce 333 to:
% 266.96/208.24 | (869) ~ (all_0_17_17 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Equations (711) can reduce 337 to:
% 266.96/208.24 | (1046) ~ (all_0_18_18 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Equations (711) can reduce 87 to:
% 266.96/208.24 | (579) ~ (all_0_24_24 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Simplifying 579 yields:
% 266.96/208.24 | (580) ~ (all_0_24_24 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Equations (711) can reduce 229 to:
% 266.96/208.24 | (2797) ~ (all_0_29_29 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Simplifying 2797 yields:
% 266.96/208.24 | (724) ~ (all_0_29_29 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Equations (711) can reduce 280 to:
% 266.96/208.24 | (2206) ~ (all_0_34_34 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Simplifying 2206 yields:
% 266.96/208.24 | (1395) ~ (all_0_34_34 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Equations (711) can reduce 562 to:
% 266.96/208.24 | (277) ~ (e4 = e3)
% 266.96/208.24 |
% 266.96/208.24 | Equations (711) can reduce 381 to:
% 266.96/208.24 | (287) ~ (e4 = e0)
% 266.96/208.24 |
% 266.96/208.24 | From (711) and (67) follows:
% 266.96/208.24 | (2088) op(e4, e0) = e4
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (357), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (1250) all_0_29_29 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (1250) can reduce 724 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (724) ~ (all_0_29_29 = e4)
% 266.96/208.24 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (36), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (887) all_0_18_18 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (887) can reduce 1046 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (1046) ~ (all_0_18_18 = e4)
% 266.96/208.24 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (32), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (716) all_0_19_19 = e1
% 266.96/208.24 |
% 266.96/208.24 | Combining equations (711,716) yields a new equation:
% 266.96/208.24 | (955) e4 = e1
% 266.96/208.24 |
% 266.96/208.24 | Simplifying 955 yields:
% 266.96/208.24 | (480) e4 = e1
% 266.96/208.24 |
% 266.96/208.24 | Equations (480) can reduce 65 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (720) ~ (all_0_19_19 = e1)
% 266.96/208.24 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 266.96/208.24 |
% 266.96/208.24 | Equations (711) can reduce 720 to:
% 266.96/208.24 | (65) ~ (e4 = e1)
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (285), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (1158) all_0_25_25 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (1158) can reduce 193 to:
% 266.96/208.24 | (889) ~ (all_0_28_28 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Simplifying 889 yields:
% 266.96/208.24 | (890) ~ (all_0_28_28 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Equations (1158) can reduce 58 to:
% 266.96/208.24 | (3310) ~ (all_0_30_30 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Simplifying 3310 yields:
% 266.96/208.24 | (509) ~ (all_0_30_30 = e4)
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (327), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (768) all_0_30_30 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (768) can reduce 509 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (509) ~ (all_0_30_30 = e4)
% 266.96/208.24 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (1051), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (1515) all_0_23_23 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (1515) can reduce 578 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (578) ~ (all_0_23_23 = e4)
% 266.96/208.24 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (1518), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (892) all_0_28_28 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (892) can reduce 890 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (890) ~ (all_0_28_28 = e4)
% 266.96/208.24 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (1522), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (406) all_0_33_33 = e4
% 266.96/208.24 |
% 266.96/208.24 | Combining equations (414,406) yields a new equation:
% 266.96/208.24 | (539) e4 = e2
% 266.96/208.24 |
% 266.96/208.24 | Equations (539) can reduce 19 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (405) ~ (all_0_33_33 = e4)
% 266.96/208.24 | (1165) all_0_38_38 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (1165) can reduce 1084 to:
% 266.96/208.24 | (19) ~ (e4 = e2)
% 266.96/208.24 |
% 266.96/208.24 | Equations (1165) can reduce 388 to:
% 266.96/208.24 | (287) ~ (e4 = e0)
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (1437), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (1446) all_0_31_31 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (1446) can reduce 584 to:
% 266.96/208.24 | (366) $false
% 266.96/208.24 |
% 266.96/208.24 |-The branch is then unsatisfiable
% 266.96/208.24 |-Branch two:
% 266.96/208.24 | (584) ~ (all_0_31_31 = e4)
% 266.96/208.24 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (1449), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (1229) all_0_32_32 = e4
% 266.96/208.24 |
% 266.96/208.24 | Equations (1229) can reduce 247 to:
% 266.96/208.24 | (584) ~ (all_0_31_31 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Equations (1229) can reduce 508 to:
% 266.96/208.24 | (19) ~ (e4 = e2)
% 266.96/208.24 |
% 266.96/208.24 | From (1229) and (200) follows:
% 266.96/208.24 | (3303) op(e4, all_0_28_28) = e2
% 266.96/208.24 |
% 266.96/208.24 +-Applying beta-rule and splitting (14988), into two cases.
% 266.96/208.24 |-Branch one:
% 266.96/208.24 | (20680) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 266.96/208.24 |
% 266.96/208.24 | Applying alpha-rule on (20680) yields:
% 266.96/208.25 | (20681) all_0_5_5 = all_0_32_32
% 266.96/208.25 | (727) ~ (all_0_32_32 = e4)
% 266.96/208.25 |
% 266.96/208.25 | Equations (1229) can reduce 727 to:
% 266.96/208.25 | (366) $false
% 266.96/208.25 |
% 266.96/208.25 |-The branch is then unsatisfiable
% 266.96/208.25 |-Branch two:
% 266.96/208.25 | (21420) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 266.96/208.25 |
% 266.96/208.25 | Applying alpha-rule on (21420) yields:
% 266.96/208.25 | (20681) all_0_5_5 = all_0_32_32
% 266.96/208.25 | (21422) ( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 266.96/208.25 |
% 266.96/208.25 | Combining equations (1229,20681) yields a new equation:
% 266.96/208.25 | (23716) all_0_5_5 = e4
% 266.96/208.25 |
% 266.96/208.25 +-Applying beta-rule and splitting (15030), into two cases.
% 266.96/208.25 |-Branch one:
% 266.96/208.25 | (20680) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 266.96/208.25 |
% 266.96/208.25 | Applying alpha-rule on (20680) yields:
% 266.96/208.25 | (20681) all_0_5_5 = all_0_32_32
% 266.96/208.25 | (727) ~ (all_0_32_32 = e4)
% 266.96/208.25 |
% 266.96/208.25 | Combining equations (20681,23716) yields a new equation:
% 266.96/208.25 | (23720) all_0_32_32 = e4
% 266.96/208.25 |
% 266.96/208.25 | Simplifying 23720 yields:
% 266.96/208.25 | (1229) all_0_32_32 = e4
% 266.96/208.25 |
% 266.96/208.25 | Equations (1229) can reduce 727 to:
% 266.96/208.25 | (366) $false
% 266.96/208.25 |
% 266.96/208.25 |-The branch is then unsatisfiable
% 266.96/208.25 |-Branch two:
% 266.96/208.25 | (23723) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 266.96/208.25 |
% 266.96/208.25 | Applying alpha-rule on (23723) yields:
% 266.96/208.25 | (20681) all_0_5_5 = all_0_32_32
% 266.96/208.25 | (23725) ( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 266.96/208.25 |
% 266.96/208.25 | Combining equations (20681,23716) yields a new equation:
% 266.96/208.26 | (23720) all_0_32_32 = e4
% 266.96/208.26 |
% 266.96/208.26 | Simplifying 23720 yields:
% 266.96/208.26 | (1229) all_0_32_32 = e4
% 266.96/208.26 |
% 266.96/208.26 +-Applying beta-rule and splitting (23725), into two cases.
% 266.96/208.26 |-Branch one:
% 266.96/208.26 | (23728) ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3
% 266.96/208.26 |
% 266.96/208.26 | Applying alpha-rule on (23728) yields:
% 266.96/208.26 | (23729) ~ (all_0_3_3 = e0)
% 266.96/208.26 | (23730) op(e1, all_0_32_32) = all_0_3_3
% 266.96/208.26 |
% 266.96/208.26 | From (1229) and (23730) follows:
% 266.96/208.26 | (23731) op(e1, e4) = all_0_3_3
% 266.96/208.26 |
% 266.96/208.26 | Instantiating formula (97) with e4, e0, e2, e4 and discharging atoms op(e4, e0) = e4, yields:
% 266.96/208.26 | (23732) e4 = e2 | ~ (op(e4, e0) = e2)
% 266.96/208.26 |
% 266.96/208.26 | Instantiating formula (97) with e1, e4, all_0_3_3, all_0_30_30 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_30_30, yields:
% 266.96/208.26 | (23733) all_0_3_3 = all_0_30_30
% 266.96/208.26 |
% 266.96/208.26 | Equations (23733) can reduce 23729 to:
% 266.96/208.26 | (1878) ~ (all_0_30_30 = e0)
% 266.96/208.26 |
% 266.96/208.26 +-Applying beta-rule and splitting (127), into two cases.
% 266.96/208.26 |-Branch one:
% 266.96/208.26 | (790) all_0_30_30 = e0
% 266.96/208.26 |
% 266.96/208.26 | Equations (790) can reduce 1878 to:
% 266.96/208.26 | (366) $false
% 266.96/208.26 |
% 266.96/208.26 |-The branch is then unsatisfiable
% 266.96/208.26 |-Branch two:
% 266.96/208.26 | (1878) ~ (all_0_30_30 = e0)
% 266.96/208.26 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 266.96/208.26 |
% 266.96/208.26 +-Applying beta-rule and splitting (1879), into two cases.
% 266.96/208.26 |-Branch one:
% 266.96/208.26 | (1060) all_0_31_31 = e0
% 266.96/208.26 |
% 266.96/208.26 | Equations (1060) can reduce 145 to:
% 266.96/208.26 | (1058) ~ (all_0_26_26 = e0)
% 266.96/208.26 |
% 266.96/208.26 | Equations (1060) can reduce 584 to:
% 266.96/208.26 | (389) ~ (e4 = e0)
% 266.96/208.26 |
% 266.96/208.26 | Simplifying 389 yields:
% 266.96/208.26 | (287) ~ (e4 = e0)
% 266.96/208.26 |
% 266.96/208.26 +-Applying beta-rule and splitting (241), into two cases.
% 266.96/208.26 |-Branch one:
% 266.96/208.26 | (1921) all_0_25_25 = e0
% 266.96/208.26 |
% 266.96/208.26 | Combining equations (1158,1921) yields a new equation:
% 266.96/208.26 | (842) e4 = e0
% 266.96/208.26 |
% 266.96/208.26 | Simplifying 842 yields:
% 266.96/208.26 | (490) e4 = e0
% 266.96/208.26 |
% 266.96/208.26 | Equations (490) can reduce 287 to:
% 266.96/208.26 | (366) $false
% 266.96/208.26 |
% 266.96/208.26 |-The branch is then unsatisfiable
% 266.96/208.26 |-Branch two:
% 266.96/208.26 | (1925) ~ (all_0_25_25 = e0)
% 266.96/208.26 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 266.96/208.26 |
% 266.96/208.26 +-Applying beta-rule and splitting (1926), into two cases.
% 266.96/208.26 |-Branch one:
% 266.96/208.26 | (883) all_0_26_26 = e0
% 266.96/208.26 |
% 266.96/208.26 | Equations (883) can reduce 1058 to:
% 266.96/208.26 | (366) $false
% 266.96/208.26 |
% 266.96/208.26 |-The branch is then unsatisfiable
% 266.96/208.26 |-Branch two:
% 266.96/208.26 | (1058) ~ (all_0_26_26 = e0)
% 267.01/208.26 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.01/208.26 |
% 267.01/208.26 +-Applying beta-rule and splitting (2527), into two cases.
% 267.01/208.26 |-Branch one:
% 267.01/208.26 | (546) all_0_27_27 = e0
% 267.01/208.26 |
% 267.01/208.26 | Combining equations (546,543) yields a new equation:
% 267.01/208.26 | (961) e1 = e0
% 267.01/208.26 |
% 267.01/208.26 | Equations (961) can reduce 37 to:
% 267.01/208.26 | (366) $false
% 267.01/208.26 |
% 267.01/208.26 |-The branch is then unsatisfiable
% 267.01/208.26 |-Branch two:
% 267.01/208.26 | (434) ~ (all_0_27_27 = e0)
% 267.01/208.26 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 267.01/208.26 |
% 267.01/208.26 +-Applying beta-rule and splitting (2533), into two cases.
% 267.01/208.26 |-Branch one:
% 267.01/208.26 | (1044) all_0_28_28 = e0
% 267.01/208.26 |
% 267.01/208.26 | From (1044) and (3303) follows:
% 267.01/208.26 | (678) op(e4, e0) = e2
% 267.01/208.26 |
% 267.01/208.26 +-Applying beta-rule and splitting (23732), into two cases.
% 267.01/208.26 |-Branch one:
% 267.01/208.26 | (5138) ~ (op(e4, e0) = e2)
% 267.01/208.26 |
% 267.01/208.26 | Using (678) and (5138) yields:
% 267.01/208.26 | (821) $false
% 267.01/208.26 |
% 267.01/208.26 |-The branch is then unsatisfiable
% 267.01/208.26 |-Branch two:
% 267.01/208.26 | (678) op(e4, e0) = e2
% 267.01/208.26 | (539) e4 = e2
% 267.01/208.26 |
% 267.01/208.26 | Equations (539) can reduce 19 to:
% 267.01/208.26 | (366) $false
% 267.01/208.26 |
% 267.01/208.26 |-The branch is then unsatisfiable
% 267.01/208.26 |-Branch two:
% 267.01/208.26 | (886) ~ (all_0_28_28 = e0)
% 267.01/208.26 | (2537) all_0_29_29 = e0
% 267.01/208.26 |
% 267.01/208.26 | Equations (2537) can reduce 383 to:
% 267.01/208.26 | (366) $false
% 267.01/208.26 |
% 267.01/208.26 |-The branch is then unsatisfiable
% 267.01/208.26 |-Branch two:
% 267.01/208.26 | (1064) ~ (all_0_31_31 = e0)
% 267.01/208.26 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 267.01/208.26 |
% 267.01/208.26 +-Applying beta-rule and splitting (1883), into two cases.
% 267.01/208.26 |-Branch one:
% 267.01/208.26 | (1626) all_0_32_32 = e0
% 267.01/208.26 |
% 267.01/208.26 | Combining equations (1229,1626) yields a new equation:
% 267.01/208.26 | (842) e4 = e0
% 267.01/208.26 |
% 267.01/208.26 | Simplifying 842 yields:
% 267.01/208.27 | (490) e4 = e0
% 267.01/208.27 |
% 267.01/208.27 | Equations (490) can reduce 287 to:
% 267.01/208.27 | (366) $false
% 267.01/208.27 |
% 267.01/208.27 |-The branch is then unsatisfiable
% 267.01/208.27 |-Branch two:
% 267.01/208.27 | (1946) ~ (all_0_32_32 = e0)
% 267.01/208.27 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 267.01/208.27 |
% 267.01/208.27 +-Applying beta-rule and splitting (1947), into two cases.
% 267.01/208.27 |-Branch one:
% 267.01/208.27 | (1254) all_0_33_33 = e0
% 267.01/208.27 |
% 267.01/208.27 | Combining equations (414,1254) yields a new equation:
% 267.01/208.27 | (836) e2 = e0
% 267.01/208.27 |
% 267.01/208.27 | Simplifying 836 yields:
% 267.01/208.27 | (551) e2 = e0
% 267.01/208.27 |
% 267.01/208.27 | Equations (551) can reduce 347 to:
% 267.01/208.27 | (366) $false
% 267.01/208.27 |
% 267.01/208.27 |-The branch is then unsatisfiable
% 267.01/208.27 |-Branch two:
% 267.01/208.27 | (399) ~ (all_0_33_33 = e0)
% 267.01/208.27 | (1717) all_0_34_34 = e0
% 267.01/208.27 |
% 267.01/208.27 | Equations (1717) can reduce 384 to:
% 267.01/208.27 | (366) $false
% 267.01/208.27 |
% 267.01/208.27 |-The branch is then unsatisfiable
% 267.01/208.27 |-Branch two:
% 267.01/208.27 | (23783) ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.01/208.27 |
% 267.01/208.27 | Applying alpha-rule on (23783) yields:
% 267.01/208.27 | (23784) ~ (all_0_4_4 = e3)
% 267.01/208.27 | (23785) op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.01/208.27 |
% 267.01/208.27 | From (1229)(1229) and (23785) follows:
% 267.01/208.27 | (23786) op(e4, e4) = all_0_4_4
% 267.01/208.27 |
% 267.01/208.27 | Instantiating formula (97) with e4, e4, all_0_4_4, e3 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e3, yields:
% 267.01/208.27 | (23787) all_0_4_4 = e3
% 267.01/208.27 |
% 267.01/208.27 | Equations (23787) can reduce 23784 to:
% 267.01/208.27 | (366) $false
% 267.01/208.27 |
% 267.01/208.27 |-The branch is then unsatisfiable
% 267.01/208.27 |-Branch two:
% 267.01/208.27 | (727) ~ (all_0_32_32 = e4)
% 267.01/208.27 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 267.01/208.27 |
% 267.01/208.27 +-Applying beta-rule and splitting (1476), into two cases.
% 267.01/208.27 |-Branch one:
% 267.01/208.27 | (406) all_0_33_33 = e4
% 267.01/208.27 |
% 267.01/208.27 | Combining equations (406,414) yields a new equation:
% 267.01/208.27 | (1111) e4 = e2
% 267.01/208.27 |
% 267.01/208.27 | Simplifying 1111 yields:
% 267.01/208.27 | (539) e4 = e2
% 267.01/208.27 |
% 267.01/208.27 | Equations (539) can reduce 19 to:
% 267.01/208.27 | (366) $false
% 267.01/208.27 |
% 267.01/208.27 |-The branch is then unsatisfiable
% 267.01/208.27 |-Branch two:
% 267.01/208.27 | (405) ~ (all_0_33_33 = e4)
% 267.01/208.27 | (723) all_0_34_34 = e4
% 267.01/208.27 |
% 267.01/208.27 | Equations (723) can reduce 1395 to:
% 267.01/208.27 | (366) $false
% 267.01/208.27 |
% 267.01/208.27 |-The branch is then unsatisfiable
% 267.01/208.27 |-Branch two:
% 267.01/208.27 | (501) ~ (all_0_25_25 = e4)
% 267.01/208.27 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.01/208.27 |
% 267.01/208.27 +-Applying beta-rule and splitting (1217), into two cases.
% 267.01/208.27 |-Branch one:
% 267.01/208.27 | (1237) all_0_26_26 = e4
% 267.01/208.27 |
% 267.01/208.27 | Equations (1237) can reduce 582 to:
% 267.01/208.27 | (366) $false
% 267.01/208.27 |
% 267.01/208.27 |-The branch is then unsatisfiable
% 267.01/208.27 |-Branch two:
% 267.01/208.27 | (582) ~ (all_0_26_26 = e4)
% 267.01/208.27 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.01/208.27 |
% 267.01/208.27 +-Applying beta-rule and splitting (1240), into two cases.
% 267.01/208.27 |-Branch one:
% 267.01/208.27 | (435) all_0_27_27 = e4
% 267.01/208.27 |
% 267.01/208.27 | Combining equations (435,543) yields a new equation:
% 267.01/208.27 | (955) e4 = e1
% 267.01/208.27 |
% 267.01/208.27 | Simplifying 955 yields:
% 267.01/208.27 | (480) e4 = e1
% 267.01/208.27 |
% 267.01/208.27 | Equations (480) can reduce 65 to:
% 267.01/208.27 | (366) $false
% 267.01/208.27 |
% 267.01/208.27 |-The branch is then unsatisfiable
% 267.01/208.27 |-Branch two:
% 267.01/208.27 | (404) ~ (all_0_27_27 = e4)
% 267.01/208.27 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 267.01/208.27 |
% 267.01/208.27 +-Applying beta-rule and splitting (1245), into two cases.
% 267.01/208.27 |-Branch one:
% 267.01/208.27 | (892) all_0_28_28 = e4
% 267.01/208.27 |
% 267.01/208.27 | Equations (892) can reduce 193 to:
% 267.01/208.27 | (501) ~ (all_0_25_25 = e4)
% 267.01/208.27 |
% 267.01/208.27 | Equations (892) can reduce 649 to:
% 267.01/208.27 | (19) ~ (e4 = e2)
% 267.01/208.27 |
% 267.01/208.27 | From (892) and (264) follows:
% 267.01/208.27 | (4742) op(e2, e1) = e4
% 267.01/208.27 |
% 267.01/208.28 +-Applying beta-rule and splitting (15001), into two cases.
% 267.01/208.28 |-Branch one:
% 267.01/208.28 | (20704) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)
% 267.01/208.28 |
% 267.01/208.28 | Applying alpha-rule on (20704) yields:
% 267.01/208.28 | (18221) all_0_8_8 = all_0_28_28
% 267.01/208.28 | (886) ~ (all_0_28_28 = e0)
% 267.01/208.28 |
% 267.01/208.28 | Combining equations (892,18221) yields a new equation:
% 267.01/208.28 | (18227) all_0_8_8 = e4
% 267.01/208.28 |
% 267.01/208.28 | Equations (892) can reduce 886 to:
% 267.01/208.28 | (287) ~ (e4 = e0)
% 267.01/208.28 |
% 267.01/208.28 +-Applying beta-rule and splitting (15017), into two cases.
% 267.01/208.28 |-Branch one:
% 267.01/208.28 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 267.01/208.28 |
% 267.01/208.28 | Applying alpha-rule on (18220) yields:
% 267.01/208.28 | (18221) all_0_8_8 = all_0_28_28
% 267.01/208.28 | (890) ~ (all_0_28_28 = e4)
% 267.01/208.28 |
% 267.01/208.28 | Combining equations (18221,18227) yields a new equation:
% 267.01/208.28 | (18238) all_0_28_28 = e4
% 267.01/208.28 |
% 267.01/208.28 | Simplifying 18238 yields:
% 267.01/208.28 | (892) all_0_28_28 = e4
% 267.01/208.28 |
% 267.01/208.28 | Equations (892) can reduce 890 to:
% 267.01/208.28 | (366) $false
% 267.01/208.28 |
% 267.01/208.28 |-The branch is then unsatisfiable
% 267.01/208.28 |-Branch two:
% 267.01/208.28 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 267.01/208.28 |
% 267.01/208.28 | Applying alpha-rule on (18241) yields:
% 267.01/208.28 | (18221) all_0_8_8 = all_0_28_28
% 267.01/208.28 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 267.01/208.28 |
% 267.01/208.28 | Combining equations (18221,18227) yields a new equation:
% 267.01/208.28 | (18238) all_0_28_28 = e4
% 267.01/208.28 |
% 267.01/208.28 | Simplifying 18238 yields:
% 267.01/208.28 | (892) all_0_28_28 = e4
% 267.01/208.28 |
% 267.01/208.28 +-Applying beta-rule and splitting (18243), into two cases.
% 267.01/208.28 |-Branch one:
% 267.01/208.28 | (20757) ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6
% 267.01/208.28 |
% 267.01/208.28 | Applying alpha-rule on (20757) yields:
% 267.01/208.29 | (20758) ~ (all_0_6_6 = e0)
% 267.01/208.29 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 267.01/208.29 |
% 267.01/208.29 | From (892) and (19549) follows:
% 267.01/208.29 | (20760) op(e2, e4) = all_0_6_6
% 267.01/208.29 |
% 267.01/208.29 | Instantiating formula (97) with e2, e4, all_0_6_6, all_0_25_25 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = all_0_25_25, yields:
% 267.01/208.29 | (20761) all_0_6_6 = all_0_25_25
% 267.01/208.29 |
% 267.01/208.29 | Equations (20761) can reduce 20758 to:
% 267.01/208.29 | (1925) ~ (all_0_25_25 = e0)
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (241), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (1921) all_0_25_25 = e0
% 267.01/208.29 |
% 267.01/208.29 | Equations (1921) can reduce 1925 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (1925) ~ (all_0_25_25 = e0)
% 267.01/208.29 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (1926), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (883) all_0_26_26 = e0
% 267.01/208.29 |
% 267.01/208.29 | Equations (883) can reduce 128 to:
% 267.01/208.29 | (1925) ~ (all_0_25_25 = e0)
% 267.01/208.29 |
% 267.01/208.29 | Equations (883) can reduce 145 to:
% 267.01/208.29 | (1856) ~ (all_0_31_31 = e0)
% 267.01/208.29 |
% 267.01/208.29 | Simplifying 1856 yields:
% 267.01/208.29 | (1064) ~ (all_0_31_31 = e0)
% 267.01/208.29 |
% 267.01/208.29 | From (883) and (195) follows:
% 267.01/208.29 | (5161) op(e2, e3) = e0
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (168), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (2438) all_0_25_25 = e3
% 267.01/208.29 |
% 267.01/208.29 | Equations (2438) can reduce 566 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (566) ~ (all_0_25_25 = e3)
% 267.01/208.29 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (245), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (1158) all_0_25_25 = e4
% 267.01/208.29 |
% 267.01/208.29 | Equations (1158) can reduce 501 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (501) ~ (all_0_25_25 = e4)
% 267.01/208.29 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (2442), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (2443) all_0_26_26 = e3
% 267.01/208.29 |
% 267.01/208.29 | Combining equations (883,2443) yields a new equation:
% 267.01/208.29 | (980) e3 = e0
% 267.01/208.29 |
% 267.01/208.29 | Equations (980) can reduce 88 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (504) ~ (all_0_26_26 = e3)
% 267.01/208.29 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (2448), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (439) all_0_27_27 = e3
% 267.01/208.29 |
% 267.01/208.29 | Combining equations (543,439) yields a new equation:
% 267.01/208.29 | (706) e3 = e1
% 267.01/208.29 |
% 267.01/208.29 | Equations (706) can reduce 318 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (400) ~ (all_0_27_27 = e3)
% 267.01/208.29 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (2453), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (896) all_0_28_28 = e3
% 267.01/208.29 |
% 267.01/208.29 | Combining equations (896,892) yields a new equation:
% 267.01/208.29 | (691) e4 = e3
% 267.01/208.29 |
% 267.01/208.29 | Equations (691) can reduce 277 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (1035) ~ (all_0_28_28 = e3)
% 267.01/208.29 | (1023) all_0_29_29 = e3
% 267.01/208.29 |
% 267.01/208.29 | Equations (1023) can reduce 62 to:
% 267.01/208.29 | (566) ~ (all_0_25_25 = e3)
% 267.01/208.29 |
% 267.01/208.29 | Equations (1023) can reduce 41 to:
% 267.01/208.29 | (2981) ~ (all_0_34_34 = e3)
% 267.01/208.29 |
% 267.01/208.29 | Simplifying 2981 yields:
% 267.01/208.29 | (1031) ~ (all_0_34_34 = e3)
% 267.01/208.29 |
% 267.01/208.29 | From (1023) and (310) follows:
% 267.01/208.29 | (23871) op(all_0_37_37, e3) = e2
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (83), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (723) all_0_34_34 = e4
% 267.01/208.29 |
% 267.01/208.29 | Equations (723) can reduce 1395 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (1395) ~ (all_0_34_34 = e4)
% 267.01/208.29 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (1396), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (1027) all_0_34_34 = e3
% 267.01/208.29 |
% 267.01/208.29 | Equations (1027) can reduce 1031 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (1031) ~ (all_0_34_34 = e3)
% 267.01/208.29 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (23), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (3159) all_0_25_25 = e2
% 267.01/208.29 |
% 267.01/208.29 | Equations (3159) can reduce 98 to:
% 267.01/208.29 | (741) ~ (all_0_35_35 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Simplifying 741 yields:
% 267.01/208.29 | (742) ~ (all_0_35_35 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Equations (3159) can reduce 501 to:
% 267.01/208.29 | (444) ~ (e4 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Simplifying 444 yields:
% 267.01/208.29 | (19) ~ (e4 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Equations (3159) can reduce 566 to:
% 267.01/208.29 | (658) ~ (e3 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Simplifying 658 yields:
% 267.01/208.29 | (56) ~ (e3 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Equations (3159) can reduce 1925 to:
% 267.01/208.29 | (347) ~ (e2 = e0)
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (192), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (663) all_0_19_19 = e2
% 267.01/208.29 |
% 267.01/208.29 | Combining equations (663,711) yields a new equation:
% 267.01/208.29 | (539) e4 = e2
% 267.01/208.29 |
% 267.01/208.29 | Equations (539) can reduce 19 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (2785) ~ (all_0_19_19 = e2)
% 267.01/208.29 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (1709), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (1110) all_0_34_34 = e2
% 267.01/208.29 |
% 267.01/208.29 | Equations (1110) can reduce 672 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (672) ~ (all_0_34_34 = e2)
% 267.01/208.29 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (2786), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (1393) all_0_24_24 = e2
% 267.01/208.29 |
% 267.01/208.29 | Equations (1393) can reduce 580 to:
% 267.01/208.29 | (444) ~ (e4 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Simplifying 444 yields:
% 267.01/208.29 | (19) ~ (e4 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Equations (1393) can reduce 382 to:
% 267.01/208.29 | (347) ~ (e2 = e0)
% 267.01/208.29 |
% 267.01/208.29 | From (1393) and (158) follows:
% 267.01/208.29 | (5066) op(e2, all_0_36_36) = e0
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (1713), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (954) all_0_34_34 = e1
% 267.01/208.29 |
% 267.01/208.29 | Equations (954) can reduce 188 to:
% 267.01/208.29 | (423) ~ (all_0_31_31 = e1)
% 267.01/208.29 |
% 267.01/208.29 | Equations (954) can reduce 384 to:
% 267.01/208.29 | (37) ~ (e1 = e0)
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (115), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (1446) all_0_31_31 = e4
% 267.01/208.29 |
% 267.01/208.29 | Equations (1446) can reduce 584 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (584) ~ (all_0_31_31 = e4)
% 267.01/208.29 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (1631), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (763) all_0_31_31 = e3
% 267.01/208.29 |
% 267.01/208.29 | Equations (763) can reduce 1099 to:
% 267.01/208.29 | (56) ~ (e3 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Instantiating formula (97) with e2, e2, e0, e1 and discharging atoms op(e2, e2) = e1, yields:
% 267.01/208.29 | (23911) e1 = e0 | ~ (op(e2, e2) = e0)
% 267.01/208.29 |
% 267.01/208.29 | Instantiating formula (97) with e2, e3, e0, e2 and discharging atoms op(e2, e3) = e0, yields:
% 267.01/208.29 | (23912) e2 = e0 | ~ (op(e2, e3) = e2)
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (340), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (697) all_0_16_16 = e2
% 267.01/208.29 |
% 267.01/208.29 | Equations (697) can reduce 169 to:
% 267.01/208.29 | (7439) ~ (all_0_17_17 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Simplifying 7439 yields:
% 267.01/208.29 | (459) ~ (all_0_17_17 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Equations (697) can reduce 64 to:
% 267.01/208.29 | (755) ~ (all_0_36_36 = e2)
% 267.01/208.29 |
% 267.01/208.29 | Simplifying 755 yields:
% 267.01/208.29 | (756) ~ (all_0_36_36 = e2)
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (214), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (797) all_0_35_35 = e2
% 267.01/208.29 |
% 267.01/208.29 | Equations (797) can reduce 742 to:
% 267.01/208.29 | (366) $false
% 267.01/208.29 |
% 267.01/208.29 |-The branch is then unsatisfiable
% 267.01/208.29 |-Branch two:
% 267.01/208.29 | (742) ~ (all_0_35_35 = e2)
% 267.01/208.29 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.01/208.29 |
% 267.01/208.29 +-Applying beta-rule and splitting (203), into two cases.
% 267.01/208.29 |-Branch one:
% 267.01/208.29 | (1980) all_0_17_17 = e2
% 267.01/208.29 |
% 267.01/208.30 | Equations (1980) can reduce 459 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (459) ~ (all_0_17_17 = e2)
% 267.01/208.30 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (1961), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (1970) all_0_17_17 = e3
% 267.01/208.30 |
% 267.01/208.30 | Equations (1970) can reduce 558 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (558) ~ (all_0_17_17 = e3)
% 267.01/208.30 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (1979), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (1980) all_0_17_17 = e2
% 267.01/208.30 |
% 267.01/208.30 | Equations (1980) can reduce 459 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (459) ~ (all_0_17_17 = e2)
% 267.01/208.30 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (1983), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (1498) all_0_17_17 = e1
% 267.01/208.30 |
% 267.01/208.30 | Equations (1498) can reduce 1501 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (1501) ~ (all_0_17_17 = e1)
% 267.01/208.30 | (823) all_0_17_17 = e0
% 267.01/208.30 |
% 267.01/208.30 | Equations (823) can reduce 132 to:
% 267.01/208.30 | (3380) ~ (all_0_37_37 = e0)
% 267.01/208.30 |
% 267.01/208.30 | Simplifying 3380 yields:
% 267.01/208.30 | (387) ~ (all_0_37_37 = e0)
% 267.01/208.30 |
% 267.01/208.30 | Equations (823) can reduce 459 to:
% 267.01/208.30 | (393) ~ (e2 = e0)
% 267.01/208.30 |
% 267.01/208.30 | Simplifying 393 yields:
% 267.01/208.30 | (347) ~ (e2 = e0)
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (800), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (801) all_0_36_36 = e2
% 267.01/208.30 |
% 267.01/208.30 | Equations (801) can reduce 756 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (756) ~ (all_0_36_36 = e2)
% 267.01/208.30 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (804), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (805) all_0_37_37 = e2
% 267.01/208.30 |
% 267.01/208.30 | Equations (805) can reduce 387 to:
% 267.01/208.30 | (347) ~ (e2 = e0)
% 267.01/208.30 |
% 267.01/208.30 | From (805) and (23871) follows:
% 267.01/208.30 | (23948) op(e2, e3) = e2
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (23912), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (23949) ~ (op(e2, e3) = e2)
% 267.01/208.30 |
% 267.01/208.30 | Using (23948) and (23949) yields:
% 267.01/208.30 | (821) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (23948) op(e2, e3) = e2
% 267.01/208.30 | (551) e2 = e0
% 267.01/208.30 |
% 267.01/208.30 | Equations (551) can reduce 347 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (515) ~ (all_0_37_37 = e2)
% 267.01/208.30 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (808), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (809) all_0_38_38 = e2
% 267.01/208.30 |
% 267.01/208.30 | Equations (809) can reduce 1084 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (1084) ~ (all_0_38_38 = e2)
% 267.01/208.30 | (373) all_0_39_39 = e2
% 267.01/208.30 |
% 267.01/208.30 | Combining equations (380,373) yields a new equation:
% 267.01/208.30 | (551) e2 = e0
% 267.01/208.30 |
% 267.01/208.30 | Equations (551) can reduce 347 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (664) ~ (all_0_16_16 = e2)
% 267.01/208.30 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (700), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (522) all_0_21_21 = e2
% 267.01/208.30 |
% 267.01/208.30 | Combining equations (449,522) yields a new equation:
% 267.01/208.30 | (1111) e4 = e2
% 267.01/208.30 |
% 267.01/208.30 | Simplifying 1111 yields:
% 267.01/208.30 | (539) e4 = e2
% 267.01/208.30 |
% 267.01/208.30 | Equations (539) can reduce 19 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (361) ~ (all_0_21_21 = e2)
% 267.01/208.30 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (2289), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (2380) all_0_26_26 = e2
% 267.01/208.30 |
% 267.01/208.30 | Combining equations (883,2380) yields a new equation:
% 267.01/208.30 | (551) e2 = e0
% 267.01/208.30 |
% 267.01/208.30 | Equations (551) can reduce 347 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (647) ~ (all_0_26_26 = e2)
% 267.01/208.30 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (2383), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (751) all_0_31_31 = e2
% 267.01/208.30 |
% 267.01/208.30 | Combining equations (763,751) yields a new equation:
% 267.01/208.30 | (3874) e3 = e2
% 267.01/208.30 |
% 267.01/208.30 | Simplifying 3874 yields:
% 267.01/208.30 | (764) e3 = e2
% 267.01/208.30 |
% 267.01/208.30 | Equations (764) can reduce 56 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (1099) ~ (all_0_31_31 = e2)
% 267.01/208.30 | (801) all_0_36_36 = e2
% 267.01/208.30 |
% 267.01/208.30 | From (801) and (5066) follows:
% 267.01/208.30 | (1188) op(e2, e2) = e0
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (23911), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (1189) ~ (op(e2, e2) = e0)
% 267.01/208.30 |
% 267.01/208.30 | Using (1188) and (1189) yields:
% 267.01/208.30 | (821) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (1188) op(e2, e2) = e0
% 267.01/208.30 | (961) e1 = e0
% 267.01/208.30 |
% 267.01/208.30 | Equations (961) can reduce 37 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (510) ~ (all_0_31_31 = e3)
% 267.01/208.30 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (1635), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (751) all_0_31_31 = e2
% 267.01/208.30 |
% 267.01/208.30 | Equations (751) can reduce 1099 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (1099) ~ (all_0_31_31 = e2)
% 267.01/208.30 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (1639), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (1010) all_0_31_31 = e1
% 267.01/208.30 |
% 267.01/208.30 | Equations (1010) can reduce 423 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (423) ~ (all_0_31_31 = e1)
% 267.01/208.30 | (1060) all_0_31_31 = e0
% 267.01/208.30 |
% 267.01/208.30 | Equations (1060) can reduce 1064 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (426) ~ (all_0_34_34 = e1)
% 267.01/208.30 | (1717) all_0_34_34 = e0
% 267.01/208.30 |
% 267.01/208.30 | Equations (1717) can reduce 384 to:
% 267.01/208.30 | (366) $false
% 267.01/208.30 |
% 267.01/208.30 |-The branch is then unsatisfiable
% 267.01/208.30 |-Branch two:
% 267.01/208.30 | (668) ~ (all_0_24_24 = e2)
% 267.01/208.30 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (1713), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (954) all_0_34_34 = e1
% 267.01/208.30 |
% 267.01/208.30 | Equations (954) can reduce 672 to:
% 267.01/208.30 | (1002) ~ (e2 = e1)
% 267.01/208.30 |
% 267.01/208.30 | Simplifying 1002 yields:
% 267.01/208.30 | (329) ~ (e2 = e1)
% 267.01/208.30 |
% 267.01/208.30 +-Applying beta-rule and splitting (4102), into two cases.
% 267.01/208.30 |-Branch one:
% 267.01/208.30 | (4103) all_0_29_29 = e2
% 267.01/208.30 |
% 267.01/208.31 | Combining equations (1023,4103) yields a new equation:
% 267.01/208.31 | (3874) e3 = e2
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 3874 yields:
% 267.01/208.31 | (764) e3 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (764) can reduce 56 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (651) ~ (all_0_29_29 = e2)
% 267.01/208.31 | (4106) all_0_34_34 = e2 | all_0_39_39 = e2
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (4106), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (1110) all_0_34_34 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (954,1110) yields a new equation:
% 267.01/208.31 | (718) e2 = e1
% 267.01/208.31 |
% 267.01/208.31 | Equations (718) can reduce 329 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (672) ~ (all_0_34_34 = e2)
% 267.01/208.31 | (373) all_0_39_39 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (373,380) yields a new equation:
% 267.01/208.31 | (836) e2 = e0
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 836 yields:
% 267.01/208.31 | (551) e2 = e0
% 267.01/208.31 |
% 267.01/208.31 | Equations (551) can reduce 347 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (426) ~ (all_0_34_34 = e1)
% 267.01/208.31 | (1717) all_0_34_34 = e0
% 267.01/208.31 |
% 267.01/208.31 | Equations (1717) can reduce 384 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (646) ~ (all_0_25_25 = e2)
% 267.01/208.31 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (192), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (663) all_0_19_19 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (663,711) yields a new equation:
% 267.01/208.31 | (539) e4 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (539) can reduce 19 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (2785) ~ (all_0_19_19 = e2)
% 267.01/208.31 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (711) can reduce 2785 to:
% 267.01/208.31 | (19) ~ (e4 = e2)
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (1709), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (1110) all_0_34_34 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (1110) can reduce 672 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (672) ~ (all_0_34_34 = e2)
% 267.01/208.31 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (1713), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (954) all_0_34_34 = e1
% 267.01/208.31 |
% 267.01/208.31 | Equations (954) can reduce 4 to:
% 267.01/208.31 | (943) ~ (all_0_24_24 = e1)
% 267.01/208.31 |
% 267.01/208.31 | Equations (954) can reduce 188 to:
% 267.01/208.31 | (423) ~ (all_0_31_31 = e1)
% 267.01/208.31 |
% 267.01/208.31 | Equations (954) can reduce 672 to:
% 267.01/208.31 | (1002) ~ (e2 = e1)
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 1002 yields:
% 267.01/208.31 | (329) ~ (e2 = e1)
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (2786), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (1393) all_0_24_24 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (1393) can reduce 580 to:
% 267.01/208.31 | (444) ~ (e4 = e2)
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 444 yields:
% 267.01/208.31 | (19) ~ (e4 = e2)
% 267.01/208.31 |
% 267.01/208.31 | Equations (1393) can reduce 943 to:
% 267.01/208.31 | (329) ~ (e2 = e1)
% 267.01/208.31 |
% 267.01/208.31 | Equations (1393) can reduce 382 to:
% 267.01/208.31 | (347) ~ (e2 = e0)
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (13669), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (2380) all_0_26_26 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (883,2380) yields a new equation:
% 267.01/208.31 | (551) e2 = e0
% 267.01/208.31 |
% 267.01/208.31 | Equations (551) can reduce 347 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (647) ~ (all_0_26_26 = e2)
% 267.01/208.31 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (115), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (1446) all_0_31_31 = e4
% 267.01/208.31 |
% 267.01/208.31 | Equations (1446) can reduce 584 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (584) ~ (all_0_31_31 = e4)
% 267.01/208.31 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (13681), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (443) all_0_27_27 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (543,443) yields a new equation:
% 267.01/208.31 | (718) e2 = e1
% 267.01/208.31 |
% 267.01/208.31 | Equations (718) can reduce 329 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (500) ~ (all_0_27_27 = e2)
% 267.01/208.31 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (1631), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (763) all_0_31_31 = e3
% 267.01/208.31 |
% 267.01/208.31 | Equations (763) can reduce 1099 to:
% 267.01/208.31 | (56) ~ (e3 = e2)
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (162), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (472) all_0_15_15 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (468,472) yields a new equation:
% 267.01/208.31 | (3874) e3 = e2
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 3874 yields:
% 267.01/208.31 | (764) e3 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (764) can reduce 56 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (447) ~ (all_0_15_15 = e2)
% 267.01/208.31 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (468) can reduce 447 to:
% 267.01/208.31 | (56) ~ (e3 = e2)
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (13687), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (1037) all_0_28_28 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (892,1037) yields a new equation:
% 267.01/208.31 | (1111) e4 = e2
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 1111 yields:
% 267.01/208.31 | (539) e4 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (539) can reduce 19 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (649) ~ (all_0_28_28 = e2)
% 267.01/208.31 | (4103) all_0_29_29 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (1023,4103) yields a new equation:
% 267.01/208.31 | (3874) e3 = e2
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 3874 yields:
% 267.01/208.31 | (764) e3 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (764) can reduce 56 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (510) ~ (all_0_31_31 = e3)
% 267.01/208.31 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (1635), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (751) all_0_31_31 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (751) can reduce 1099 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (1099) ~ (all_0_31_31 = e2)
% 267.01/208.31 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (1639), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (1010) all_0_31_31 = e1
% 267.01/208.31 |
% 267.01/208.31 | Equations (1010) can reduce 423 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (423) ~ (all_0_31_31 = e1)
% 267.01/208.31 | (1060) all_0_31_31 = e0
% 267.01/208.31 |
% 267.01/208.31 | Equations (1060) can reduce 1064 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (668) ~ (all_0_24_24 = e2)
% 267.01/208.31 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (13669), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (2380) all_0_26_26 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (883,2380) yields a new equation:
% 267.01/208.31 | (551) e2 = e0
% 267.01/208.31 |
% 267.01/208.31 | Equations (551) can reduce 347 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (647) ~ (all_0_26_26 = e2)
% 267.01/208.31 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (13681), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (443) all_0_27_27 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (543,443) yields a new equation:
% 267.01/208.31 | (718) e2 = e1
% 267.01/208.31 |
% 267.01/208.31 | Equations (718) can reduce 329 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (500) ~ (all_0_27_27 = e2)
% 267.01/208.31 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (4102), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (4103) all_0_29_29 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (1023,4103) yields a new equation:
% 267.01/208.31 | (3874) e3 = e2
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 3874 yields:
% 267.01/208.31 | (764) e3 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (764) can reduce 56 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (651) ~ (all_0_29_29 = e2)
% 267.01/208.31 | (4106) all_0_34_34 = e2 | all_0_39_39 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (1023) can reduce 651 to:
% 267.01/208.31 | (56) ~ (e3 = e2)
% 267.01/208.31 |
% 267.01/208.31 +-Applying beta-rule and splitting (13687), into two cases.
% 267.01/208.31 |-Branch one:
% 267.01/208.31 | (1037) all_0_28_28 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (892,1037) yields a new equation:
% 267.01/208.31 | (1111) e4 = e2
% 267.01/208.31 |
% 267.01/208.31 | Simplifying 1111 yields:
% 267.01/208.31 | (539) e4 = e2
% 267.01/208.31 |
% 267.01/208.31 | Equations (539) can reduce 19 to:
% 267.01/208.31 | (366) $false
% 267.01/208.31 |
% 267.01/208.31 |-The branch is then unsatisfiable
% 267.01/208.31 |-Branch two:
% 267.01/208.31 | (649) ~ (all_0_28_28 = e2)
% 267.01/208.31 | (4103) all_0_29_29 = e2
% 267.01/208.31 |
% 267.01/208.31 | Combining equations (1023,4103) yields a new equation:
% 267.01/208.32 | (3874) e3 = e2
% 267.01/208.32 |
% 267.01/208.32 | Simplifying 3874 yields:
% 267.01/208.32 | (764) e3 = e2
% 267.01/208.32 |
% 267.01/208.32 | Equations (764) can reduce 56 to:
% 267.01/208.32 | (366) $false
% 267.01/208.32 |
% 267.01/208.32 |-The branch is then unsatisfiable
% 267.01/208.32 |-Branch two:
% 267.01/208.32 | (426) ~ (all_0_34_34 = e1)
% 267.01/208.32 | (1717) all_0_34_34 = e0
% 267.01/208.32 |
% 267.01/208.32 | Equations (1717) can reduce 384 to:
% 267.01/208.32 | (366) $false
% 267.01/208.32 |
% 267.01/208.32 |-The branch is then unsatisfiable
% 267.01/208.32 |-Branch two:
% 267.01/208.32 | (1058) ~ (all_0_26_26 = e0)
% 267.01/208.32 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.01/208.32 |
% 267.01/208.32 +-Applying beta-rule and splitting (2527), into two cases.
% 267.01/208.32 |-Branch one:
% 267.01/208.32 | (546) all_0_27_27 = e0
% 267.01/208.32 |
% 267.01/208.32 | Combining equations (543,546) yields a new equation:
% 267.01/208.32 | (960) e1 = e0
% 267.01/208.32 |
% 267.01/208.32 | Simplifying 960 yields:
% 267.01/208.32 | (961) e1 = e0
% 267.01/208.32 |
% 267.01/208.32 | Equations (961) can reduce 37 to:
% 267.01/208.32 | (366) $false
% 267.01/208.32 |
% 267.01/208.32 |-The branch is then unsatisfiable
% 267.01/208.32 |-Branch two:
% 267.01/208.32 | (434) ~ (all_0_27_27 = e0)
% 267.01/208.32 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 267.01/208.32 |
% 267.01/208.32 +-Applying beta-rule and splitting (2533), into two cases.
% 267.01/208.32 |-Branch one:
% 267.01/208.32 | (1044) all_0_28_28 = e0
% 267.01/208.32 |
% 267.01/208.32 | Combining equations (1044,892) yields a new equation:
% 267.01/208.32 | (490) e4 = e0
% 267.01/208.32 |
% 267.01/208.32 | Equations (490) can reduce 287 to:
% 267.01/208.32 | (366) $false
% 267.01/208.32 |
% 267.01/208.32 |-The branch is then unsatisfiable
% 267.01/208.32 |-Branch two:
% 267.01/208.32 | (886) ~ (all_0_28_28 = e0)
% 267.01/208.32 | (2537) all_0_29_29 = e0
% 267.01/208.32 |
% 267.01/208.32 | Equations (2537) can reduce 383 to:
% 267.01/208.32 | (366) $false
% 267.01/208.32 |
% 267.01/208.32 |-The branch is then unsatisfiable
% 267.01/208.32 |-Branch two:
% 267.01/208.32 | (20828) ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.01/208.32 |
% 267.01/208.32 | Applying alpha-rule on (20828) yields:
% 267.01/208.32 | (20829) ~ (all_0_7_7 = e3)
% 267.01/208.32 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.01/208.32 |
% 267.01/208.32 | From (892)(892) and (19927) follows:
% 267.01/208.32 | (20831) op(e4, e4) = all_0_7_7
% 267.01/208.32 |
% 267.01/208.32 | Instantiating formula (97) with e4, e4, all_0_7_7, e3 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e3, yields:
% 267.01/208.32 | (20832) all_0_7_7 = e3
% 267.01/208.32 |
% 267.01/208.32 | Equations (20832) can reduce 20829 to:
% 267.01/208.32 | (366) $false
% 267.01/208.32 |
% 267.01/208.32 |-The branch is then unsatisfiable
% 267.01/208.32 |-Branch two:
% 267.01/208.32 | (24139) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 267.01/208.32 |
% 267.01/208.32 | Applying alpha-rule on (24139) yields:
% 267.01/208.33 | (18221) all_0_8_8 = all_0_28_28
% 267.01/208.33 | (24141) ( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 267.01/208.33 |
% 267.01/208.33 | Combining equations (892,18221) yields a new equation:
% 267.01/208.33 | (18227) all_0_8_8 = e4
% 267.01/208.33 |
% 267.01/208.33 +-Applying beta-rule and splitting (15017), into two cases.
% 267.01/208.33 |-Branch one:
% 267.01/208.33 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 267.01/208.33 |
% 267.01/208.33 | Applying alpha-rule on (18220) yields:
% 267.01/208.33 | (18221) all_0_8_8 = all_0_28_28
% 267.01/208.33 | (890) ~ (all_0_28_28 = e4)
% 267.01/208.33 |
% 267.01/208.33 | Combining equations (18221,18227) yields a new equation:
% 267.01/208.33 | (18238) all_0_28_28 = e4
% 267.01/208.33 |
% 267.01/208.33 | Simplifying 18238 yields:
% 267.01/208.33 | (892) all_0_28_28 = e4
% 267.01/208.33 |
% 267.01/208.33 | Equations (892) can reduce 890 to:
% 267.01/208.33 | (366) $false
% 267.01/208.33 |
% 267.01/208.33 |-The branch is then unsatisfiable
% 267.01/208.33 |-Branch two:
% 267.01/208.33 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 267.01/208.33 |
% 267.01/208.33 | Applying alpha-rule on (18241) yields:
% 267.01/208.33 | (18221) all_0_8_8 = all_0_28_28
% 267.01/208.33 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 267.01/208.33 |
% 267.01/208.33 | Combining equations (18221,18227) yields a new equation:
% 267.01/208.33 | (18238) all_0_28_28 = e4
% 267.01/208.33 |
% 267.01/208.33 | Simplifying 18238 yields:
% 267.01/208.33 | (892) all_0_28_28 = e4
% 267.01/208.33 |
% 267.01/208.33 +-Applying beta-rule and splitting (18243), into two cases.
% 267.01/208.33 |-Branch one:
% 267.01/208.33 | (20757) ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6
% 267.01/208.33 |
% 267.01/208.33 | Applying alpha-rule on (20757) yields:
% 267.01/208.33 | (20758) ~ (all_0_6_6 = e0)
% 267.01/208.33 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 267.01/208.33 |
% 267.01/208.34 +-Applying beta-rule and splitting (24141), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (24157) ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6
% 267.01/208.34 |
% 267.01/208.34 | Applying alpha-rule on (24157) yields:
% 267.01/208.34 | (24158) ~ (all_0_6_6 = e4)
% 267.01/208.34 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 267.01/208.34 |
% 267.01/208.34 | From (892) and (19549) follows:
% 267.01/208.34 | (20760) op(e2, e4) = all_0_6_6
% 267.01/208.34 |
% 267.01/208.34 | Instantiating formula (97) with e2, e4, all_0_6_6, all_0_25_25 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = all_0_25_25, yields:
% 267.01/208.34 | (20761) all_0_6_6 = all_0_25_25
% 267.01/208.34 |
% 267.01/208.34 | Equations (20761) can reduce 24158 to:
% 267.01/208.34 | (501) ~ (all_0_25_25 = e4)
% 267.01/208.34 |
% 267.01/208.34 | Equations (20761) can reduce 20758 to:
% 267.01/208.34 | (1925) ~ (all_0_25_25 = e0)
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (245), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (1158) all_0_25_25 = e4
% 267.01/208.34 |
% 267.01/208.34 | Equations (1158) can reduce 501 to:
% 267.01/208.34 | (366) $false
% 267.01/208.34 |
% 267.01/208.34 |-The branch is then unsatisfiable
% 267.01/208.34 |-Branch two:
% 267.01/208.34 | (501) ~ (all_0_25_25 = e4)
% 267.01/208.34 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (241), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (1921) all_0_25_25 = e0
% 267.01/208.34 |
% 267.01/208.34 | Equations (1921) can reduce 1925 to:
% 267.01/208.34 | (366) $false
% 267.01/208.34 |
% 267.01/208.34 |-The branch is then unsatisfiable
% 267.01/208.34 |-Branch two:
% 267.01/208.34 | (1925) ~ (all_0_25_25 = e0)
% 267.01/208.34 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (1926), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (883) all_0_26_26 = e0
% 267.01/208.34 |
% 267.01/208.34 | Equations (883) can reduce 139 to:
% 267.01/208.34 | (824) ~ (all_0_16_16 = e0)
% 267.01/208.34 |
% 267.01/208.34 | Equations (883) can reduce 128 to:
% 267.01/208.34 | (1925) ~ (all_0_25_25 = e0)
% 267.01/208.34 |
% 267.01/208.34 | Equations (883) can reduce 145 to:
% 267.01/208.34 | (1856) ~ (all_0_31_31 = e0)
% 267.01/208.34 |
% 267.01/208.34 | Simplifying 1856 yields:
% 267.01/208.34 | (1064) ~ (all_0_31_31 = e0)
% 267.01/208.34 |
% 267.01/208.34 | Equations (883) can reduce 170 to:
% 267.01/208.34 | (3457) ~ (all_0_36_36 = e0)
% 267.01/208.34 |
% 267.01/208.34 | Simplifying 3457 yields:
% 267.01/208.34 | (386) ~ (all_0_36_36 = e0)
% 267.01/208.34 |
% 267.01/208.34 | Equations (883) can reduce 1008 to:
% 267.01/208.34 | (395) ~ (e1 = e0)
% 267.01/208.34 |
% 267.01/208.34 | Simplifying 395 yields:
% 267.01/208.34 | (37) ~ (e1 = e0)
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (168), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (2438) all_0_25_25 = e3
% 267.01/208.34 |
% 267.01/208.34 | Equations (2438) can reduce 566 to:
% 267.01/208.34 | (366) $false
% 267.01/208.34 |
% 267.01/208.34 |-The branch is then unsatisfiable
% 267.01/208.34 |-Branch two:
% 267.01/208.34 | (566) ~ (all_0_25_25 = e3)
% 267.01/208.34 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (2442), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (2443) all_0_26_26 = e3
% 267.01/208.34 |
% 267.01/208.34 | Combining equations (883,2443) yields a new equation:
% 267.01/208.34 | (980) e3 = e0
% 267.01/208.34 |
% 267.01/208.34 | Equations (980) can reduce 88 to:
% 267.01/208.34 | (366) $false
% 267.01/208.34 |
% 267.01/208.34 |-The branch is then unsatisfiable
% 267.01/208.34 |-Branch two:
% 267.01/208.34 | (504) ~ (all_0_26_26 = e3)
% 267.01/208.34 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (2448), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (439) all_0_27_27 = e3
% 267.01/208.34 |
% 267.01/208.34 | Combining equations (543,439) yields a new equation:
% 267.01/208.34 | (706) e3 = e1
% 267.01/208.34 |
% 267.01/208.34 | Equations (706) can reduce 318 to:
% 267.01/208.34 | (366) $false
% 267.01/208.34 |
% 267.01/208.34 |-The branch is then unsatisfiable
% 267.01/208.34 |-Branch two:
% 267.01/208.34 | (400) ~ (all_0_27_27 = e3)
% 267.01/208.34 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (2453), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (896) all_0_28_28 = e3
% 267.01/208.34 |
% 267.01/208.34 | Combining equations (896,892) yields a new equation:
% 267.01/208.34 | (691) e4 = e3
% 267.01/208.34 |
% 267.01/208.34 | Equations (691) can reduce 277 to:
% 267.01/208.34 | (366) $false
% 267.01/208.34 |
% 267.01/208.34 |-The branch is then unsatisfiable
% 267.01/208.34 |-Branch two:
% 267.01/208.34 | (1035) ~ (all_0_28_28 = e3)
% 267.01/208.34 | (1023) all_0_29_29 = e3
% 267.01/208.34 |
% 267.01/208.34 | Equations (1023) can reduce 62 to:
% 267.01/208.34 | (566) ~ (all_0_25_25 = e3)
% 267.01/208.34 |
% 267.01/208.34 | Equations (1023) can reduce 952 to:
% 267.01/208.34 | (318) ~ (e3 = e1)
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (23), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (3159) all_0_25_25 = e2
% 267.01/208.34 |
% 267.01/208.34 | Equations (3159) can reduce 501 to:
% 267.01/208.34 | (444) ~ (e4 = e2)
% 267.01/208.34 |
% 267.01/208.34 | Simplifying 444 yields:
% 267.01/208.34 | (19) ~ (e4 = e2)
% 267.01/208.34 |
% 267.01/208.34 | Equations (3159) can reduce 566 to:
% 267.01/208.34 | (658) ~ (e3 = e2)
% 267.01/208.34 |
% 267.01/208.34 | Simplifying 658 yields:
% 267.01/208.34 | (56) ~ (e3 = e2)
% 267.01/208.34 |
% 267.01/208.34 | Equations (3159) can reduce 946 to:
% 267.01/208.34 | (329) ~ (e2 = e1)
% 267.01/208.34 |
% 267.01/208.34 | Equations (3159) can reduce 1925 to:
% 267.01/208.34 | (347) ~ (e2 = e0)
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (192), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (663) all_0_19_19 = e2
% 267.01/208.34 |
% 267.01/208.34 | Combining equations (663,711) yields a new equation:
% 267.01/208.34 | (539) e4 = e2
% 267.01/208.34 |
% 267.01/208.34 | Equations (539) can reduce 19 to:
% 267.01/208.34 | (366) $false
% 267.01/208.34 |
% 267.01/208.34 |-The branch is then unsatisfiable
% 267.01/208.34 |-Branch two:
% 267.01/208.34 | (2785) ~ (all_0_19_19 = e2)
% 267.01/208.34 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (2786), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (1393) all_0_24_24 = e2
% 267.01/208.34 |
% 267.01/208.34 | From (1393) and (158) follows:
% 267.01/208.34 | (5066) op(e2, all_0_36_36) = e0
% 267.01/208.34 |
% 267.01/208.34 | From (1393) and (5) follows:
% 267.01/208.34 | (24216) op(all_0_36_36, e2) = e3
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (721), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (940) all_0_24_24 = e1
% 267.01/208.34 |
% 267.01/208.34 | Combining equations (1393,940) yields a new equation:
% 267.01/208.34 | (717) e2 = e1
% 267.01/208.34 |
% 267.01/208.34 | Simplifying 717 yields:
% 267.01/208.34 | (718) e2 = e1
% 267.01/208.34 |
% 267.01/208.34 | Equations (718) can reduce 329 to:
% 267.01/208.34 | (366) $false
% 267.01/208.34 |
% 267.01/208.34 |-The branch is then unsatisfiable
% 267.01/208.34 |-Branch two:
% 267.01/208.34 | (943) ~ (all_0_24_24 = e1)
% 267.01/208.34 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 267.01/208.34 |
% 267.01/208.34 +-Applying beta-rule and splitting (944), into two cases.
% 267.01/208.34 |-Branch one:
% 267.01/208.34 | (945) all_0_29_29 = e1
% 267.01/208.34 |
% 267.01/208.34 | Combining equations (945,1023) yields a new equation:
% 267.01/208.34 | (706) e3 = e1
% 267.01/208.34 |
% 267.01/208.34 | Equations (706) can reduce 318 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (952) ~ (all_0_29_29 = e1)
% 267.01/208.35 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (953), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (954) all_0_34_34 = e1
% 267.01/208.35 |
% 267.01/208.35 | Equations (954) can reduce 188 to:
% 267.01/208.35 | (423) ~ (all_0_31_31 = e1)
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (115), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (1446) all_0_31_31 = e4
% 267.01/208.35 |
% 267.01/208.35 | Equations (1446) can reduce 584 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (584) ~ (all_0_31_31 = e4)
% 267.01/208.35 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (1631), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (763) all_0_31_31 = e3
% 267.01/208.35 |
% 267.01/208.35 | Equations (763) can reduce 10 to:
% 267.01/208.35 | (458) ~ (all_0_16_16 = e3)
% 267.01/208.35 |
% 267.01/208.35 | Equations (763) can reduce 7 to:
% 267.01/208.35 | (4164) ~ (all_0_36_36 = e3)
% 267.01/208.35 |
% 267.01/208.35 | Simplifying 4164 yields:
% 267.01/208.35 | (516) ~ (all_0_36_36 = e3)
% 267.01/208.35 |
% 267.01/208.35 | Instantiating formula (97) with e2, e2, e3, e1 and discharging atoms op(e2, e2) = e1, yields:
% 267.01/208.35 | (15487) e3 = e1 | ~ (op(e2, e2) = e3)
% 267.01/208.35 |
% 267.01/208.35 | Instantiating formula (97) with e2, e1, e0, e4 and discharging atoms op(e2, e1) = e4, yields:
% 267.01/208.35 | (24239) e4 = e0 | ~ (op(e2, e1) = e0)
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (187), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (2611) all_0_36_36 = e4
% 267.01/208.35 |
% 267.01/208.35 | Equations (2611) can reduce 586 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (586) ~ (all_0_36_36 = e4)
% 267.01/208.35 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (340), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (697) all_0_16_16 = e2
% 267.01/208.35 |
% 267.01/208.35 | Equations (697) can reduce 169 to:
% 267.01/208.35 | (7439) ~ (all_0_17_17 = e2)
% 267.01/208.35 |
% 267.01/208.35 | Simplifying 7439 yields:
% 267.01/208.35 | (459) ~ (all_0_17_17 = e2)
% 267.01/208.35 |
% 267.01/208.35 | Equations (697) can reduce 64 to:
% 267.01/208.35 | (755) ~ (all_0_36_36 = e2)
% 267.01/208.35 |
% 267.01/208.35 | Simplifying 755 yields:
% 267.01/208.35 | (756) ~ (all_0_36_36 = e2)
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (1961), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (1970) all_0_17_17 = e3
% 267.01/208.35 |
% 267.01/208.35 | Equations (1970) can reduce 558 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (558) ~ (all_0_17_17 = e3)
% 267.01/208.35 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (203), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (1980) all_0_17_17 = e2
% 267.01/208.35 |
% 267.01/208.35 | Equations (1980) can reduce 459 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (459) ~ (all_0_17_17 = e2)
% 267.01/208.35 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (1979), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (1980) all_0_17_17 = e2
% 267.01/208.35 |
% 267.01/208.35 | Equations (1980) can reduce 459 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (459) ~ (all_0_17_17 = e2)
% 267.01/208.35 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (2614), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (818) all_0_36_36 = e3
% 267.01/208.35 |
% 267.01/208.35 | Equations (818) can reduce 516 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (516) ~ (all_0_36_36 = e3)
% 267.01/208.35 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (3567), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (801) all_0_36_36 = e2
% 267.01/208.35 |
% 267.01/208.35 | Equations (801) can reduce 756 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (756) ~ (all_0_36_36 = e2)
% 267.01/208.35 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (1983), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (1498) all_0_17_17 = e1
% 267.01/208.35 |
% 267.01/208.35 | Equations (1498) can reduce 1501 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (1501) ~ (all_0_17_17 = e1)
% 267.01/208.35 | (823) all_0_17_17 = e0
% 267.01/208.35 |
% 267.01/208.35 | Equations (823) can reduce 869 to:
% 267.01/208.35 | (389) ~ (e4 = e0)
% 267.01/208.35 |
% 267.01/208.35 | Simplifying 389 yields:
% 267.01/208.35 | (287) ~ (e4 = e0)
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (3571), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (1015) all_0_36_36 = e1
% 267.01/208.35 |
% 267.01/208.35 | From (1015) and (5066) follows:
% 267.01/208.35 | (2624) op(e2, e1) = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (24239), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (2634) ~ (op(e2, e1) = e0)
% 267.01/208.35 |
% 267.01/208.35 | Using (2624) and (2634) yields:
% 267.01/208.35 | (821) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (2624) op(e2, e1) = e0
% 267.01/208.35 | (490) e4 = e0
% 267.01/208.35 |
% 267.01/208.35 | Equations (490) can reduce 287 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (1593) ~ (all_0_36_36 = e1)
% 267.01/208.35 | (1065) all_0_36_36 = e0
% 267.01/208.35 |
% 267.01/208.35 | Equations (1065) can reduce 386 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (664) ~ (all_0_16_16 = e2)
% 267.01/208.35 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (704), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (1287) all_0_16_16 = e3
% 267.01/208.35 |
% 267.01/208.35 | Equations (1287) can reduce 458 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (458) ~ (all_0_16_16 = e3)
% 267.01/208.35 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (1290), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (697) all_0_16_16 = e2
% 267.01/208.35 |
% 267.01/208.35 | Equations (697) can reduce 664 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (664) ~ (all_0_16_16 = e2)
% 267.01/208.35 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (1377), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (921) all_0_16_16 = e1
% 267.01/208.35 |
% 267.01/208.35 | Equations (921) can reduce 64 to:
% 267.01/208.35 | (2547) ~ (all_0_36_36 = e1)
% 267.01/208.35 |
% 267.01/208.35 | Simplifying 2547 yields:
% 267.01/208.35 | (1593) ~ (all_0_36_36 = e1)
% 267.01/208.35 |
% 267.01/208.35 | Equations (921) can reduce 458 to:
% 267.01/208.35 | (429) ~ (e3 = e1)
% 267.01/208.35 |
% 267.01/208.35 | Simplifying 429 yields:
% 267.01/208.35 | (318) ~ (e3 = e1)
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (2614), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (818) all_0_36_36 = e3
% 267.01/208.35 |
% 267.01/208.35 | Equations (818) can reduce 516 to:
% 267.01/208.35 | (366) $false
% 267.01/208.35 |
% 267.01/208.35 |-The branch is then unsatisfiable
% 267.01/208.35 |-Branch two:
% 267.01/208.35 | (516) ~ (all_0_36_36 = e3)
% 267.01/208.35 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.01/208.35 |
% 267.01/208.35 +-Applying beta-rule and splitting (3567), into two cases.
% 267.01/208.35 |-Branch one:
% 267.01/208.35 | (801) all_0_36_36 = e2
% 267.01/208.35 |
% 267.01/208.35 | From (801) and (24216) follows:
% 267.11/208.35 | (8318) op(e2, e2) = e3
% 267.11/208.35 |
% 267.11/208.35 +-Applying beta-rule and splitting (15487), into two cases.
% 267.11/208.35 |-Branch one:
% 267.11/208.35 | (8319) ~ (op(e2, e2) = e3)
% 267.11/208.35 |
% 267.11/208.35 | Using (8318) and (8319) yields:
% 267.11/208.35 | (821) $false
% 267.11/208.35 |
% 267.11/208.35 |-The branch is then unsatisfiable
% 267.11/208.35 |-Branch two:
% 267.11/208.35 | (8318) op(e2, e2) = e3
% 267.11/208.35 | (706) e3 = e1
% 267.11/208.35 |
% 267.11/208.35 | Equations (706) can reduce 318 to:
% 267.11/208.35 | (366) $false
% 267.11/208.35 |
% 267.11/208.35 |-The branch is then unsatisfiable
% 267.11/208.35 |-Branch two:
% 267.11/208.35 | (756) ~ (all_0_36_36 = e2)
% 267.11/208.35 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 267.11/208.35 |
% 267.11/208.35 +-Applying beta-rule and splitting (3571), into two cases.
% 267.11/208.35 |-Branch one:
% 267.11/208.35 | (1015) all_0_36_36 = e1
% 267.11/208.35 |
% 267.11/208.35 | Equations (1015) can reduce 1593 to:
% 267.11/208.35 | (366) $false
% 267.11/208.35 |
% 267.11/208.35 |-The branch is then unsatisfiable
% 267.11/208.35 |-Branch two:
% 267.11/208.35 | (1593) ~ (all_0_36_36 = e1)
% 267.11/208.35 | (1065) all_0_36_36 = e0
% 267.11/208.35 |
% 267.11/208.35 | Equations (1065) can reduce 386 to:
% 267.11/208.35 | (366) $false
% 267.11/208.35 |
% 267.11/208.35 |-The branch is then unsatisfiable
% 267.11/208.35 |-Branch two:
% 267.11/208.35 | (985) ~ (all_0_16_16 = e1)
% 267.11/208.35 | (873) all_0_16_16 = e0
% 267.11/208.35 |
% 267.11/208.35 | Equations (873) can reduce 824 to:
% 267.11/208.35 | (366) $false
% 267.11/208.35 |
% 267.11/208.35 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (510) ~ (all_0_31_31 = e3)
% 267.11/208.36 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (1635), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (751) all_0_31_31 = e2
% 267.11/208.36 |
% 267.11/208.36 | Equations (751) can reduce 1099 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (1099) ~ (all_0_31_31 = e2)
% 267.11/208.36 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (1639), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (1010) all_0_31_31 = e1
% 267.11/208.36 |
% 267.11/208.36 | Equations (1010) can reduce 423 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (423) ~ (all_0_31_31 = e1)
% 267.11/208.36 | (1060) all_0_31_31 = e0
% 267.11/208.36 |
% 267.11/208.36 | Equations (1060) can reduce 1064 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (426) ~ (all_0_34_34 = e1)
% 267.11/208.36 | (377) all_0_39_39 = e1
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (377,380) yields a new equation:
% 267.11/208.36 | (960) e1 = e0
% 267.11/208.36 |
% 267.11/208.36 | Simplifying 960 yields:
% 267.11/208.36 | (961) e1 = e0
% 267.11/208.36 |
% 267.11/208.36 | Equations (961) can reduce 37 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (668) ~ (all_0_24_24 = e2)
% 267.11/208.36 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (4102), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (4103) all_0_29_29 = e2
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (1023,4103) yields a new equation:
% 267.11/208.36 | (3874) e3 = e2
% 267.11/208.36 |
% 267.11/208.36 | Simplifying 3874 yields:
% 267.11/208.36 | (764) e3 = e2
% 267.11/208.36 |
% 267.11/208.36 | Equations (764) can reduce 56 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (651) ~ (all_0_29_29 = e2)
% 267.11/208.36 | (4106) all_0_34_34 = e2 | all_0_39_39 = e2
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (4106), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (1110) all_0_34_34 = e2
% 267.11/208.36 |
% 267.11/208.36 | Equations (1110) can reduce 672 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (672) ~ (all_0_34_34 = e2)
% 267.11/208.36 | (373) all_0_39_39 = e2
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (380,373) yields a new equation:
% 267.11/208.36 | (551) e2 = e0
% 267.11/208.36 |
% 267.11/208.36 | Equations (551) can reduce 347 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (646) ~ (all_0_25_25 = e2)
% 267.11/208.36 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (13669), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (2380) all_0_26_26 = e2
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (883,2380) yields a new equation:
% 267.11/208.36 | (551) e2 = e0
% 267.11/208.36 |
% 267.11/208.36 | Equations (551) can reduce 347 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (647) ~ (all_0_26_26 = e2)
% 267.11/208.36 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (13681), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (443) all_0_27_27 = e2
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (543,443) yields a new equation:
% 267.11/208.36 | (718) e2 = e1
% 267.11/208.36 |
% 267.11/208.36 | Equations (718) can reduce 329 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (500) ~ (all_0_27_27 = e2)
% 267.11/208.36 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (13687), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (1037) all_0_28_28 = e2
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (892,1037) yields a new equation:
% 267.11/208.36 | (1111) e4 = e2
% 267.11/208.36 |
% 267.11/208.36 | Simplifying 1111 yields:
% 267.11/208.36 | (539) e4 = e2
% 267.11/208.36 |
% 267.11/208.36 | Equations (539) can reduce 19 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (649) ~ (all_0_28_28 = e2)
% 267.11/208.36 | (4103) all_0_29_29 = e2
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (4103,1023) yields a new equation:
% 267.11/208.36 | (764) e3 = e2
% 267.11/208.36 |
% 267.11/208.36 | Equations (764) can reduce 56 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (1058) ~ (all_0_26_26 = e0)
% 267.11/208.36 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (2527), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (546) all_0_27_27 = e0
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (543,546) yields a new equation:
% 267.11/208.36 | (960) e1 = e0
% 267.11/208.36 |
% 267.11/208.36 | Simplifying 960 yields:
% 267.11/208.36 | (961) e1 = e0
% 267.11/208.36 |
% 267.11/208.36 | Equations (961) can reduce 37 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (434) ~ (all_0_27_27 = e0)
% 267.11/208.36 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 267.11/208.36 |
% 267.11/208.36 +-Applying beta-rule and splitting (2533), into two cases.
% 267.11/208.36 |-Branch one:
% 267.11/208.36 | (1044) all_0_28_28 = e0
% 267.11/208.36 |
% 267.11/208.36 | Combining equations (1044,892) yields a new equation:
% 267.11/208.36 | (490) e4 = e0
% 267.11/208.36 |
% 267.11/208.36 | Equations (490) can reduce 287 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (886) ~ (all_0_28_28 = e0)
% 267.11/208.36 | (2537) all_0_29_29 = e0
% 267.11/208.36 |
% 267.11/208.36 | Equations (2537) can reduce 383 to:
% 267.11/208.36 | (366) $false
% 267.11/208.36 |
% 267.11/208.36 |-The branch is then unsatisfiable
% 267.11/208.36 |-Branch two:
% 267.11/208.36 | (20828) ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.11/208.36 |
% 267.11/208.36 | Applying alpha-rule on (20828) yields:
% 267.11/208.36 | (20829) ~ (all_0_7_7 = e3)
% 267.11/208.36 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.11/208.36 |
% 267.11/208.36 | From (892)(892) and (19927) follows:
% 267.11/208.37 | (20831) op(e4, e4) = all_0_7_7
% 267.11/208.37 |
% 267.11/208.37 | Instantiating formula (97) with e4, e4, all_0_7_7, e3 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e3, yields:
% 267.11/208.37 | (20832) all_0_7_7 = e3
% 267.11/208.37 |
% 267.11/208.37 | Equations (20832) can reduce 20829 to:
% 267.11/208.37 | (366) $false
% 267.11/208.37 |
% 267.11/208.37 |-The branch is then unsatisfiable
% 267.11/208.37 |-Branch two:
% 267.11/208.37 | (20828) ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.11/208.37 |
% 267.11/208.37 | Applying alpha-rule on (20828) yields:
% 267.11/208.37 | (20829) ~ (all_0_7_7 = e3)
% 267.11/208.37 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.11/208.37 |
% 267.11/208.37 | From (892)(892) and (19927) follows:
% 267.11/208.37 | (20831) op(e4, e4) = all_0_7_7
% 267.11/208.37 |
% 267.11/208.37 | Instantiating formula (97) with e4, e4, all_0_7_7, e3 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e3, yields:
% 267.11/208.37 | (20832) all_0_7_7 = e3
% 267.11/208.37 |
% 267.11/208.37 | Equations (20832) can reduce 20829 to:
% 267.11/208.37 | (366) $false
% 267.11/208.37 |
% 267.11/208.37 |-The branch is then unsatisfiable
% 267.11/208.37 |-Branch two:
% 267.11/208.37 | (890) ~ (all_0_28_28 = e4)
% 267.11/208.37 | (1250) all_0_29_29 = e4
% 267.11/208.37 |
% 267.11/208.37 | Equations (1250) can reduce 724 to:
% 267.11/208.37 | (366) $false
% 267.11/208.37 |
% 267.11/208.37 |-The branch is then unsatisfiable
% 267.11/208.38 |-Branch two:
% 267.11/208.38 | (472) all_0_15_15 = e2
% 267.11/208.38 | (10323) (all_0_11_11 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_11_11 = all_0_17_17 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_17_17) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_17_17, all_0_17_17) = all_0_10_10)))
% 267.11/208.38 |
% 267.11/208.38 | From (472)(472) and (53) follows:
% 267.11/208.38 | (538) op(e2, e2) = e4
% 267.11/208.38 |
% 267.11/208.38 | Instantiating formula (97) with e2, e2, e4, e1 and discharging atoms op(e2, e2) = e4, op(e2, e2) = e1, yields:
% 267.11/208.38 | (480) e4 = e1
% 267.11/208.38 |
% 267.11/208.38 | Equations (480) can reduce 65 to:
% 267.11/208.38 | (366) $false
% 267.11/208.38 |
% 267.11/208.38 |-The branch is then unsatisfiable
% 267.11/208.38 |-Branch two:
% 267.11/208.38 | (476) all_0_15_15 = e1
% 267.11/208.38 | (5533) (all_0_11_11 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_11_11 = all_0_18_18 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_18_18) = all_0_9_9) | ( ~ (all_0_10_10 = e0) & op(all_0_18_18, all_0_18_18) = all_0_10_10)))
% 267.11/208.38 |
% 267.11/208.38 | From (476)(476) and (53) follows:
% 267.11/208.38 | (479) op(e1, e1) = e4
% 267.11/208.38 |
% 267.11/208.38 | Instantiating formula (97) with e1, e1, e4, e2 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e2, yields:
% 267.11/208.38 | (539) e4 = e2
% 267.11/208.38 |
% 267.11/208.38 | Equations (539) can reduce 19 to:
% 267.11/208.38 | (366) $false
% 267.11/208.38 |
% 267.11/208.38 |-The branch is then unsatisfiable
% 267.11/208.38 |-Branch two:
% 267.11/208.38 | (439) all_0_27_27 = e3
% 267.11/208.38 | (24411) (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))
% 267.11/208.38 |
% 267.11/208.38 | From (439)(439) and (99) follows:
% 267.11/208.38 | (6120) op(e3, e3) = e2
% 267.11/208.38 |
% 267.11/208.38 | Instantiating formula (97) with e3, e3, e2, all_0_21_21 and discharging atoms op(e3, e3) = all_0_21_21, op(e3, e3) = e2, yields:
% 267.11/208.38 | (522) all_0_21_21 = e2
% 267.11/208.38 |
% 267.11/208.38 | Equations (522) can reduce 361 to:
% 267.11/208.38 | (366) $false
% 267.11/208.38 |
% 267.11/208.38 |-The branch is then unsatisfiable
% 267.11/208.38 |-Branch two:
% 267.11/208.38 | (1254) all_0_33_33 = e0
% 267.11/208.38 | (24416) (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))
% 267.11/208.38 |
% 267.11/208.38 | From (1254)(1254) and (148) follows:
% 267.11/208.38 | (18691) op(e0, e0) = e1
% 267.11/208.38 |
% 267.11/208.38 | Instantiating formula (97) with e0, e0, e1, e0 and discharging atoms op(e0, e0) = e1, op(e0, e0) = e0, yields:
% 267.11/208.38 | (961) e1 = e0
% 267.11/208.38 |
% 267.11/208.38 | Equations (961) can reduce 37 to:
% 267.11/208.38 | (366) $false
% 267.11/208.38 |
% 267.11/208.38 |-The branch is then unsatisfiable
% 267.11/208.38 |-Branch two:
% 267.11/208.38 | (529) all_0_21_21 = e0
% 267.11/208.38 | (24421) (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))
% 267.11/208.38 |
% 267.11/208.38 | From (529)(529) and (138) follows:
% 267.11/208.38 | (10466) op(e0, e0) = e3
% 267.11/208.38 |
% 267.11/208.38 | Instantiating formula (97) with e0, e0, e3, e0 and discharging atoms op(e0, e0) = e3, op(e0, e0) = e0, yields:
% 267.11/208.38 | (980) e3 = e0
% 267.11/208.38 |
% 267.11/208.38 | Equations (980) can reduce 88 to:
% 267.11/208.38 | (366) $false
% 267.11/208.38 |
% 267.11/208.38 |-The branch is then unsatisfiable
% 267.11/208.38 |-Branch two:
% 267.11/208.38 | (365) all_0_39_39 = e4
% 267.11/208.38 | (24426) (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 278 to:
% 267.11/208.38 | (714) ~ (all_0_19_19 = e4)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 335 to:
% 267.11/208.38 | (580) ~ (all_0_24_24 = e4)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 109 to:
% 267.11/208.38 | (724) ~ (all_0_29_29 = e4)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 123 to:
% 267.11/208.38 | (1395) ~ (all_0_34_34 = e4)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 191 to:
% 267.11/208.38 | (514) ~ (all_0_35_35 = e4)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 117 to:
% 267.11/208.38 | (586) ~ (all_0_36_36 = e4)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 260 to:
% 267.11/208.38 | (2658) ~ (all_0_37_37 = e4)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 18 to:
% 267.11/208.38 | (1143) ~ (all_0_38_38 = e4)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 362 to:
% 267.11/208.38 | (277) ~ (e4 = e3)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 360 to:
% 267.11/208.38 | (19) ~ (e4 = e2)
% 267.11/208.38 |
% 267.11/208.38 | Equations (365) can reduce 359 to:
% 267.11/208.38 | (65) ~ (e4 = e1)
% 267.11/208.38 |
% 267.11/208.38 | From (365)(365) and (60) follows:
% 267.11/208.39 | (11357) op(e4, e4) = e0
% 267.11/208.39 |
% 267.11/208.39 | Instantiating formula (97) with e4, e4, e0, all_0_15_15 and discharging atoms op(e4, e4) = all_0_15_15, op(e4, e4) = e0, yields:
% 267.11/208.39 | (483) all_0_15_15 = e0
% 267.11/208.39 |
% 267.11/208.39 | Equations (483) can reduce 351 to:
% 267.11/208.39 | (24440) ~ (all_0_16_16 = e0)
% 267.11/208.39 |
% 267.11/208.39 | Simplifying 24440 yields:
% 267.11/208.39 | (824) ~ (all_0_16_16 = e0)
% 267.11/208.39 |
% 267.14/208.39 | Equations (483) can reduce 66 to:
% 267.14/208.39 | (5572) ~ (all_0_17_17 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 5572 yields:
% 267.14/208.39 | (2422) ~ (all_0_17_17 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Equations (483) can reduce 344 to:
% 267.14/208.39 | (3378) ~ (all_0_18_18 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 3378 yields:
% 267.14/208.39 | (1156) ~ (all_0_18_18 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Equations (483) can reduce 190 to:
% 267.14/208.39 | (5576) ~ (all_0_19_19 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 5576 yields:
% 267.14/208.39 | (381) ~ (all_0_19_19 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Equations (483) can reduce 146 to:
% 267.14/208.39 | (24448) ~ (all_0_20_20 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 24448 yields:
% 267.14/208.39 | (839) ~ (all_0_20_20 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Equations (483) can reduce 52 to:
% 267.14/208.39 | (3147) ~ (all_0_25_25 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 3147 yields:
% 267.14/208.39 | (1925) ~ (all_0_25_25 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Equations (483) can reduce 84 to:
% 267.14/208.39 | (5613) ~ (all_0_30_30 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 5613 yields:
% 267.14/208.39 | (1878) ~ (all_0_30_30 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Equations (483) can reduce 157 to:
% 267.14/208.39 | (1895) ~ (all_0_35_35 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 1895 yields:
% 267.14/208.39 | (385) ~ (all_0_35_35 = e0)
% 267.14/208.39 |
% 267.14/208.39 | From (483)(483) and (53) follows:
% 267.14/208.39 | (489) op(e0, e0) = e4
% 267.14/208.39 |
% 267.14/208.39 | From (483) and (218) follows:
% 267.14/208.39 | (11357) op(e4, e4) = e0
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (161), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (398) ~ (all_0_21_21 = e0)
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (331), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (364) ~ (all_0_39_39 = e4)
% 267.14/208.39 |
% 267.14/208.39 | Equations (365) can reduce 364 to:
% 267.14/208.39 | (366) $false
% 267.14/208.39 |
% 267.14/208.39 |-The branch is then unsatisfiable
% 267.14/208.39 |-Branch two:
% 267.14/208.39 | (365) all_0_39_39 = e4
% 267.14/208.39 | (24462) (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (70), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (364) ~ (all_0_39_39 = e4)
% 267.14/208.39 |
% 267.14/208.39 | Equations (365) can reduce 364 to:
% 267.14/208.39 | (366) $false
% 267.14/208.39 |
% 267.14/208.39 |-The branch is then unsatisfiable
% 267.14/208.39 |-Branch two:
% 267.14/208.39 | (365) all_0_39_39 = e4
% 267.14/208.39 | (24466) (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (178), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (404) ~ (all_0_27_27 = e4)
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (257), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (364) ~ (all_0_39_39 = e4)
% 267.14/208.39 |
% 267.14/208.39 | Equations (365) can reduce 364 to:
% 267.14/208.39 | (366) $false
% 267.14/208.39 |
% 267.14/208.39 |-The branch is then unsatisfiable
% 267.14/208.39 |-Branch two:
% 267.14/208.39 | (365) all_0_39_39 = e4
% 267.14/208.39 | (24471) (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e2) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (120), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (463) ~ (all_0_15_15 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Equations (483) can reduce 463 to:
% 267.14/208.39 | (366) $false
% 267.14/208.39 |
% 267.14/208.39 |-The branch is then unsatisfiable
% 267.14/208.39 |-Branch two:
% 267.14/208.39 | (483) all_0_15_15 = e0
% 267.14/208.39 | (24475) (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (143), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (448) ~ (all_0_21_21 = e4)
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (35), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (449) all_0_21_21 = e4
% 267.14/208.39 |
% 267.14/208.39 | Equations (449) can reduce 448 to:
% 267.14/208.39 | (366) $false
% 267.14/208.39 |
% 267.14/208.39 |-The branch is then unsatisfiable
% 267.14/208.39 |-Branch two:
% 267.14/208.39 | (448) ~ (all_0_21_21 = e4)
% 267.14/208.39 | (452) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (452), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (453) all_0_21_21 = e3
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 307 to:
% 267.14/208.39 | (458) ~ (all_0_16_16 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 71 to:
% 267.14/208.39 | (564) ~ (all_0_20_20 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 339 to:
% 267.14/208.39 | (5493) ~ (all_0_22_22 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 5493 yields:
% 267.14/208.39 | (774) ~ (all_0_22_22 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 194 to:
% 267.14/208.39 | (3066) ~ (all_0_23_23 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 3066 yields:
% 267.14/208.39 | (982) ~ (all_0_23_23 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 180 to:
% 267.14/208.39 | (3506) ~ (all_0_24_24 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 3506 yields:
% 267.14/208.39 | (963) ~ (all_0_24_24 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 265 to:
% 267.14/208.39 | (5499) ~ (all_0_26_26 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 5499 yields:
% 267.14/208.39 | (504) ~ (all_0_26_26 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 255 to:
% 267.14/208.39 | (5501) ~ (all_0_31_31 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 5501 yields:
% 267.14/208.39 | (510) ~ (all_0_31_31 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 150 to:
% 267.14/208.39 | (4164) ~ (all_0_36_36 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 4164 yields:
% 267.14/208.39 | (516) ~ (all_0_36_36 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 448 to:
% 267.14/208.39 | (695) ~ (e4 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Simplifying 695 yields:
% 267.14/208.39 | (277) ~ (e4 = e3)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 361 to:
% 267.14/208.39 | (56) ~ (e3 = e2)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 363 to:
% 267.14/208.39 | (318) ~ (e3 = e1)
% 267.14/208.39 |
% 267.14/208.39 | Equations (453) can reduce 398 to:
% 267.14/208.39 | (88) ~ (e3 = e0)
% 267.14/208.39 |
% 267.14/208.39 | From (453) and (314) follows:
% 267.14/208.39 | (5509) op(e3, e3) = e3
% 267.14/208.39 |
% 267.14/208.39 +-Applying beta-rule and splitting (305), into two cases.
% 267.14/208.39 |-Branch one:
% 267.14/208.39 | (463) ~ (all_0_15_15 = e0)
% 267.14/208.39 |
% 267.14/208.39 | Equations (483) can reduce 463 to:
% 267.14/208.39 | (366) $false
% 267.14/208.39 |
% 267.14/208.39 |-The branch is then unsatisfiable
% 267.14/208.39 |-Branch two:
% 267.14/208.39 | (483) all_0_15_15 = e0
% 267.14/208.40 | (24505) (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (33), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (405) ~ (all_0_33_33 = e4)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (112), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (463) ~ (all_0_15_15 = e0)
% 267.14/208.40 |
% 267.14/208.40 | Equations (483) can reduce 463 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (483) all_0_15_15 = e0
% 267.14/208.40 | (486) (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (92), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (434) ~ (all_0_27_27 = e0)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (113), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (463) ~ (all_0_15_15 = e0)
% 267.14/208.40 |
% 267.14/208.40 | Equations (483) can reduce 463 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (483) all_0_15_15 = e0
% 267.14/208.40 | (24515) (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e1) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e3) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (105), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (399) ~ (all_0_33_33 = e0)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (119), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (463) ~ (all_0_15_15 = e0)
% 267.14/208.40 |
% 267.14/208.40 | Equations (483) can reduce 463 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (483) all_0_15_15 = e0
% 267.14/208.40 | (24520) (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e3) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e2) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (330), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (364) ~ (all_0_39_39 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (365) can reduce 364 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (365) all_0_39_39 = e4
% 267.14/208.40 | (24524) (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e3) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e1) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (306), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (463) ~ (all_0_15_15 = e0)
% 267.14/208.40 |
% 267.14/208.40 | Equations (483) can reduce 463 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (483) all_0_15_15 = e0
% 267.14/208.40 | (17965) (all_0_11_11 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_11_11 = all_0_19_19 & (( ~ (all_0_9_9 = e2) & op(e4, all_0_19_19) = all_0_9_9) | ( ~ (all_0_10_10 = e1) & op(all_0_19_19, all_0_19_19) = all_0_10_10)))
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (258), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (364) ~ (all_0_39_39 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (365) can reduce 364 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (365) all_0_39_39 = e4
% 267.14/208.40 | (24532) (all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_35_35, all_0_35_35) = all_0_1_1)))
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (343), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (401) ~ (all_0_33_33 = e2)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (152), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (402) ~ (all_0_27_27 = e1)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (355), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (400) ~ (all_0_27_27 = e3)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (6), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (435) all_0_27_27 = e4
% 267.14/208.40 |
% 267.14/208.40 | Equations (435) can reduce 404 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (404) ~ (all_0_27_27 = e4)
% 267.14/208.40 | (438) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (438), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (439) all_0_27_27 = e3
% 267.14/208.40 |
% 267.14/208.40 | Equations (439) can reduce 400 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (400) ~ (all_0_27_27 = e3)
% 267.14/208.40 | (442) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (442), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (443) all_0_27_27 = e2
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 3 to:
% 267.14/208.40 | (459) ~ (all_0_17_17 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 341 to:
% 267.14/208.40 | (493) ~ (all_0_22_22 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 289 to:
% 267.14/208.40 | (646) ~ (all_0_25_25 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 100 to:
% 267.14/208.40 | (647) ~ (all_0_26_26 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 106 to:
% 267.14/208.40 | (648) ~ (all_0_28_28 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 648 yields:
% 267.14/208.40 | (649) ~ (all_0_28_28 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 248 to:
% 267.14/208.40 | (650) ~ (all_0_29_29 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 650 yields:
% 267.14/208.40 | (651) ~ (all_0_29_29 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 149 to:
% 267.14/208.40 | (652) ~ (all_0_32_32 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 652 yields:
% 267.14/208.40 | (508) ~ (all_0_32_32 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 220 to:
% 267.14/208.40 | (654) ~ (all_0_37_37 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 654 yields:
% 267.14/208.40 | (515) ~ (all_0_37_37 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 404 to:
% 267.14/208.40 | (444) ~ (e4 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 444 yields:
% 267.14/208.40 | (19) ~ (e4 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 400 to:
% 267.14/208.40 | (658) ~ (e3 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 658 yields:
% 267.14/208.40 | (56) ~ (e3 = e2)
% 267.14/208.40 |
% 267.14/208.40 | Equations (443) can reduce 434 to:
% 267.14/208.40 | (347) ~ (e2 = e0)
% 267.14/208.40 |
% 267.14/208.40 | From (443) and (313) follows:
% 267.14/208.40 | (446) op(e2, e2) = e2
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (243), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (403) ~ (all_0_33_33 = e3)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (295), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (406) all_0_33_33 = e4
% 267.14/208.40 |
% 267.14/208.40 | Equations (406) can reduce 405 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (405) ~ (all_0_33_33 = e4)
% 267.14/208.40 | (409) all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (409), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (410) all_0_33_33 = e3
% 267.14/208.40 |
% 267.14/208.40 | Equations (410) can reduce 403 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (403) ~ (all_0_33_33 = e3)
% 267.14/208.40 | (413) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (413), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (414) all_0_33_33 = e2
% 267.14/208.40 |
% 267.14/208.40 | Equations (414) can reduce 401 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (401) ~ (all_0_33_33 = e2)
% 267.14/208.40 | (417) all_0_33_33 = e1 | all_0_33_33 = e0
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (417), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (418) all_0_33_33 = e1
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 208 to:
% 267.14/208.40 | (419) ~ (all_0_18_18 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 189 to:
% 267.14/208.40 | (420) ~ (all_0_23_23 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 237 to:
% 267.14/208.40 | (421) ~ (all_0_28_28 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 283 to:
% 267.14/208.40 | (422) ~ (all_0_30_30 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 246 to:
% 267.14/208.40 | (423) ~ (all_0_31_31 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 201 to:
% 267.14/208.40 | (424) ~ (all_0_32_32 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 328 to:
% 267.14/208.40 | (425) ~ (all_0_34_34 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 425 yields:
% 267.14/208.40 | (426) ~ (all_0_34_34 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 324 to:
% 267.14/208.40 | (427) ~ (all_0_38_38 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 427 yields:
% 267.14/208.40 | (428) ~ (all_0_38_38 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 405 to:
% 267.14/208.40 | (477) ~ (e4 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 477 yields:
% 267.14/208.40 | (65) ~ (e4 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 403 to:
% 267.14/208.40 | (429) ~ (e3 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 429 yields:
% 267.14/208.40 | (318) ~ (e3 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 401 to:
% 267.14/208.40 | (1002) ~ (e2 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 1002 yields:
% 267.14/208.40 | (329) ~ (e2 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (418) can reduce 399 to:
% 267.14/208.40 | (37) ~ (e1 = e0)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (26), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (887) all_0_18_18 = e4
% 267.14/208.40 |
% 267.14/208.40 | Equations (887) can reduce 9 to:
% 267.14/208.40 | (573) ~ (all_0_16_16 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (887) can reduce 74 to:
% 267.14/208.40 | (869) ~ (all_0_17_17 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (887) can reduce 337 to:
% 267.14/208.40 | (6514) ~ (all_0_19_19 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 6514 yields:
% 267.14/208.40 | (714) ~ (all_0_19_19 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (887) can reduce 110 to:
% 267.14/208.40 | (577) ~ (all_0_23_23 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 577 yields:
% 267.14/208.40 | (578) ~ (all_0_23_23 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (887) can reduce 300 to:
% 267.14/208.40 | (889) ~ (all_0_28_28 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 889 yields:
% 267.14/208.40 | (890) ~ (all_0_28_28 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (887) can reduce 142 to:
% 267.14/208.40 | (1142) ~ (all_0_38_38 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 1142 yields:
% 267.14/208.40 | (1143) ~ (all_0_38_38 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (887) can reduce 419 to:
% 267.14/208.40 | (65) ~ (e4 = e1)
% 267.14/208.40 |
% 267.14/208.40 | Equations (887) can reduce 1156 to:
% 267.14/208.40 | (287) ~ (e4 = e0)
% 267.14/208.40 |
% 267.14/208.40 | From (887) and (238) follows:
% 267.14/208.40 | (12210) op(e4, all_0_30_30) = e1
% 267.14/208.40 |
% 267.14/208.40 | From (887) and (290) follows:
% 267.14/208.40 | (1426) op(all_0_30_30, e4) = e4
% 267.14/208.40 |
% 267.14/208.40 | Instantiating formula (97) with e4, e4, e4, e0 and discharging atoms op(e4, e4) = e0, yields:
% 267.14/208.40 | (24609) e4 = e0 | ~ (op(e4, e4) = e4)
% 267.14/208.40 |
% 267.14/208.40 | Instantiating formula (97) with e2, e4, e4, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 267.14/208.40 | (2805) all_0_25_25 = e4 | ~ (op(e2, e4) = e4)
% 267.14/208.40 |
% 267.14/208.40 | Instantiating formula (97) with e4, e3, e1, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 267.14/208.40 | (2235) all_0_16_16 = e1 | ~ (op(e4, e3) = e1)
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (163), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (701) all_0_16_16 = e4
% 267.14/208.40 |
% 267.14/208.40 | Equations (701) can reduce 573 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (573) ~ (all_0_16_16 = e4)
% 267.14/208.40 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (256), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (1453) all_0_20_20 = e4
% 267.14/208.40 |
% 267.14/208.40 | Equations (1453) can reduce 211 to:
% 267.14/208.40 | (575) ~ (all_0_22_22 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 575 yields:
% 267.14/208.40 | (576) ~ (all_0_22_22 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (1453) can reduce 95 to:
% 267.14/208.40 | (10614) ~ (all_0_25_25 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 10614 yields:
% 267.14/208.40 | (501) ~ (all_0_25_25 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (1453) can reduce 249 to:
% 267.14/208.40 | (1159) ~ (all_0_35_35 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Simplifying 1159 yields:
% 267.14/208.40 | (514) ~ (all_0_35_35 = e4)
% 267.14/208.40 |
% 267.14/208.40 | Equations (1453) can reduce 564 to:
% 267.14/208.40 | (277) ~ (e4 = e3)
% 267.14/208.40 |
% 267.14/208.40 | From (1453) and (40) follows:
% 267.14/208.40 | (24624) op(e4, all_0_16_16) = e4
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (59), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (865) all_0_17_17 = e4
% 267.14/208.40 |
% 267.14/208.40 | Equations (865) can reduce 869 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (869) ~ (all_0_17_17 = e4)
% 267.14/208.40 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (1148), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (831) all_0_22_22 = e4
% 267.14/208.40 |
% 267.14/208.40 | Equations (831) can reduce 576 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.40 |-Branch two:
% 267.14/208.40 | (576) ~ (all_0_22_22 = e4)
% 267.14/208.40 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 267.14/208.40 |
% 267.14/208.40 +-Applying beta-rule and splitting (285), into two cases.
% 267.14/208.40 |-Branch one:
% 267.14/208.40 | (1158) all_0_25_25 = e4
% 267.14/208.40 |
% 267.14/208.40 | Equations (1158) can reduce 501 to:
% 267.14/208.40 | (366) $false
% 267.14/208.40 |
% 267.14/208.40 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (501) ~ (all_0_25_25 = e4)
% 267.14/208.41 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (1152), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (435) all_0_27_27 = e4
% 267.14/208.41 |
% 267.14/208.41 | Combining equations (435,443) yields a new equation:
% 267.14/208.41 | (1111) e4 = e2
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 1111 yields:
% 267.14/208.41 | (539) e4 = e2
% 267.14/208.41 |
% 267.14/208.41 | Equations (539) can reduce 19 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (404) ~ (all_0_27_27 = e4)
% 267.14/208.41 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (1217), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (1237) all_0_26_26 = e4
% 267.14/208.41 |
% 267.14/208.41 | Equations (1237) can reduce 139 to:
% 267.14/208.41 | (573) ~ (all_0_16_16 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Equations (1237) can reduce 128 to:
% 267.14/208.41 | (501) ~ (all_0_25_25 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Equations (1237) can reduce 38 to:
% 267.14/208.41 | (2797) ~ (all_0_29_29 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 2797 yields:
% 267.14/208.41 | (724) ~ (all_0_29_29 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Equations (1237) can reduce 170 to:
% 267.14/208.41 | (585) ~ (all_0_36_36 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 585 yields:
% 267.14/208.41 | (586) ~ (all_0_36_36 = e4)
% 267.14/208.41 |
% 267.14/208.41 | From (1237) and (147) follows:
% 267.14/208.41 | (7983) op(e4, all_0_22_22) = e3
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (1222), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (1229) all_0_32_32 = e4
% 267.14/208.41 |
% 267.14/208.41 | Equations (1229) can reduce 286 to:
% 267.14/208.41 | (869) ~ (all_0_17_17 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Equations (1229) can reduce 186 to:
% 267.14/208.41 | (509) ~ (all_0_30_30 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Equations (1229) can reduce 247 to:
% 267.14/208.41 | (584) ~ (all_0_31_31 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Equations (1229) can reduce 199 to:
% 267.14/208.41 | (2206) ~ (all_0_34_34 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 2206 yields:
% 267.14/208.41 | (1395) ~ (all_0_34_34 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Equations (1229) can reduce 336 to:
% 267.14/208.41 | (3299) ~ (all_0_37_37 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 3299 yields:
% 267.14/208.41 | (2658) ~ (all_0_37_37 = e4)
% 267.14/208.41 |
% 267.14/208.41 | Equations (1229) can reduce 508 to:
% 267.14/208.41 | (19) ~ (e4 = e2)
% 267.14/208.41 |
% 267.14/208.41 | From (1229) and (315) follows:
% 267.14/208.41 | (3302) op(all_0_28_28, e4) = e1
% 267.14/208.41 |
% 267.14/208.41 | Instantiating formula (97) with e0, e4, e1, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 267.14/208.41 | (3304) all_0_35_35 = e1 | ~ (op(e0, e4) = e1)
% 267.14/208.41 |
% 267.14/208.41 | Instantiating formula (97) with all_0_28_28, e4, e1, e2 and discharging atoms op(all_0_28_28, e4) = e1, yields:
% 267.14/208.41 | (24662) e2 = e1 | ~ (op(all_0_28_28, e4) = e2)
% 267.14/208.41 |
% 267.14/208.41 | Instantiating formula (97) with e4, all_0_22_22, e3, e4 and discharging atoms op(e4, all_0_22_22) = e3, yields:
% 267.14/208.41 | (24663) e4 = e3 | ~ (op(e4, all_0_22_22) = e4)
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (127), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (790) all_0_30_30 = e0
% 267.14/208.41 |
% 267.14/208.41 | Equations (790) can reduce 1878 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (1878) ~ (all_0_30_30 = e0)
% 267.14/208.41 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (279), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (873) all_0_16_16 = e0
% 267.14/208.41 |
% 267.14/208.41 | Equations (873) can reduce 824 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (824) ~ (all_0_16_16 = e0)
% 267.14/208.41 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (245), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (1158) all_0_25_25 = e4
% 267.14/208.41 |
% 267.14/208.41 | Equations (1158) can reduce 501 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (501) ~ (all_0_25_25 = e4)
% 267.14/208.41 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (155), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (759) all_0_30_30 = e3
% 267.14/208.41 |
% 267.14/208.41 | Equations (759) can reduce 58 to:
% 267.14/208.41 | (566) ~ (all_0_25_25 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Equations (759) can reduce 217 to:
% 267.14/208.41 | (5501) ~ (all_0_31_31 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 5501 yields:
% 267.14/208.41 | (510) ~ (all_0_31_31 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Equations (759) can reduce 15 to:
% 267.14/208.41 | (2981) ~ (all_0_34_34 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 2981 yields:
% 267.14/208.41 | (1031) ~ (all_0_34_34 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Equations (759) can reduce 96 to:
% 267.14/208.41 | (569) ~ (all_0_35_35 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 569 yields:
% 267.14/208.41 | (570) ~ (all_0_35_35 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Equations (759) can reduce 509 to:
% 267.14/208.41 | (695) ~ (e4 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 695 yields:
% 267.14/208.41 | (277) ~ (e4 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Equations (759) can reduce 1878 to:
% 267.14/208.41 | (88) ~ (e3 = e0)
% 267.14/208.41 |
% 267.14/208.41 | From (759) and (12210) follows:
% 267.14/208.41 | (2493) op(e4, e3) = e1
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (2235), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (2498) ~ (op(e4, e3) = e1)
% 267.14/208.41 |
% 267.14/208.41 | Using (2493) and (2498) yields:
% 267.14/208.41 | (821) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (2493) op(e4, e3) = e1
% 267.14/208.41 | (921) all_0_16_16 = e1
% 267.14/208.41 |
% 267.14/208.41 | Equations (921) can reduce 169 to:
% 267.14/208.41 | (2502) ~ (all_0_17_17 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 2502 yields:
% 267.14/208.41 | (1501) ~ (all_0_17_17 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Equations (921) can reduce 10 to:
% 267.14/208.41 | (1613) ~ (all_0_31_31 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 1613 yields:
% 267.14/208.41 | (423) ~ (all_0_31_31 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Equations (921) can reduce 64 to:
% 267.14/208.41 | (2547) ~ (all_0_36_36 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 2547 yields:
% 267.14/208.41 | (1593) ~ (all_0_36_36 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Equations (921) can reduce 573 to:
% 267.14/208.41 | (477) ~ (e4 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 477 yields:
% 267.14/208.41 | (65) ~ (e4 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Equations (921) can reduce 458 to:
% 267.14/208.41 | (429) ~ (e3 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 429 yields:
% 267.14/208.41 | (318) ~ (e3 = e1)
% 267.14/208.41 |
% 267.14/208.41 | Equations (921) can reduce 824 to:
% 267.14/208.41 | (37) ~ (e1 = e0)
% 267.14/208.41 |
% 267.14/208.41 | From (921) and (24624) follows:
% 267.14/208.41 | (1807) op(e4, e1) = e4
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (162), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (472) all_0_15_15 = e2
% 267.14/208.41 |
% 267.14/208.41 | Combining equations (472,483) yields a new equation:
% 267.14/208.41 | (836) e2 = e0
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 836 yields:
% 267.14/208.41 | (551) e2 = e0
% 267.14/208.41 |
% 267.14/208.41 | Equations (551) can reduce 347 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (447) ~ (all_0_15_15 = e2)
% 267.14/208.41 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.14/208.41 |
% 267.14/208.41 | Equations (483) can reduce 447 to:
% 267.14/208.41 | (393) ~ (e2 = e0)
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 393 yields:
% 267.14/208.41 | (347) ~ (e2 = e0)
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (24466), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (24712) all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 267.14/208.41 |
% 267.14/208.41 | Applying alpha-rule on (24712) yields:
% 267.14/208.41 | (24713) all_0_2_2 = all_0_35_35
% 267.14/208.41 | (570) ~ (all_0_35_35 = e3)
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (114), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (472) all_0_15_15 = e2
% 267.14/208.41 |
% 267.14/208.41 | Combining equations (472,483) yields a new equation:
% 267.14/208.41 | (836) e2 = e0
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 836 yields:
% 267.14/208.41 | (551) e2 = e0
% 267.14/208.41 |
% 267.14/208.41 | Equations (551) can reduce 347 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (447) ~ (all_0_15_15 = e2)
% 267.14/208.41 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (240), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (865) all_0_17_17 = e4
% 267.14/208.41 |
% 267.14/208.41 | Equations (865) can reduce 869 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (869) ~ (all_0_17_17 = e4)
% 267.14/208.41 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (2791), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (697) all_0_16_16 = e2
% 267.14/208.41 |
% 267.14/208.41 | Combining equations (697,921) yields a new equation:
% 267.14/208.41 | (717) e2 = e1
% 267.14/208.41 |
% 267.14/208.41 | Simplifying 717 yields:
% 267.14/208.41 | (718) e2 = e1
% 267.14/208.41 |
% 267.14/208.41 | Equations (718) can reduce 329 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (664) ~ (all_0_16_16 = e2)
% 267.14/208.41 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.14/208.41 |
% 267.14/208.41 +-Applying beta-rule and splitting (2933), into two cases.
% 267.14/208.41 |-Branch one:
% 267.14/208.41 | (1980) all_0_17_17 = e2
% 267.14/208.41 |
% 267.14/208.41 | Equations (1980) can reduce 459 to:
% 267.14/208.41 | (366) $false
% 267.14/208.41 |
% 267.14/208.41 |-The branch is then unsatisfiable
% 267.14/208.41 |-Branch two:
% 267.14/208.41 | (459) ~ (all_0_17_17 = e2)
% 267.14/208.41 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 267.14/208.41 |
% 267.14/208.42 +-Applying beta-rule and splitting (2937), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1274) all_0_18_18 = e2
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (1274,887) yields a new equation:
% 267.14/208.42 | (539) e4 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (539) can reduce 19 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (666) ~ (all_0_18_18 = e2)
% 267.14/208.42 | (663) all_0_19_19 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (663) can reduce 87 to:
% 267.14/208.42 | (667) ~ (all_0_24_24 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 667 yields:
% 267.14/208.42 | (668) ~ (all_0_24_24 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Equations (663) can reduce 229 to:
% 267.14/208.42 | (650) ~ (all_0_29_29 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 650 yields:
% 267.14/208.42 | (651) ~ (all_0_29_29 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Equations (663) can reduce 714 to:
% 267.14/208.42 | (444) ~ (e4 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 444 yields:
% 267.14/208.42 | (19) ~ (e4 = e2)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (51), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (736) all_0_20_20 = e2
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (1453,736) yields a new equation:
% 267.14/208.42 | (1111) e4 = e2
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 1111 yields:
% 267.14/208.42 | (539) e4 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (539) can reduce 19 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (1114) ~ (all_0_20_20 = e2)
% 267.14/208.42 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (1453) can reduce 1114 to:
% 267.14/208.42 | (19) ~ (e4 = e2)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (72), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (468) all_0_15_15 = e3
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (468,483) yields a new equation:
% 267.14/208.42 | (979) e3 = e0
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 979 yields:
% 267.14/208.42 | (980) e3 = e0
% 267.14/208.42 |
% 267.14/208.42 | Equations (980) can reduce 88 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (433) ~ (all_0_15_15 = e3)
% 267.14/208.42 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (2921), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (736) all_0_20_20 = e2
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (1453,736) yields a new equation:
% 267.14/208.42 | (1111) e4 = e2
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 1111 yields:
% 267.14/208.42 | (539) e4 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (539) can reduce 19 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (1114) ~ (all_0_20_20 = e2)
% 267.14/208.42 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (10030), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (3159) all_0_25_25 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (3159) can reduce 646 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (646) ~ (all_0_25_25 = e2)
% 267.14/208.42 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (16274), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (747) all_0_30_30 = e2
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (759,747) yields a new equation:
% 267.14/208.42 | (3874) e3 = e2
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 3874 yields:
% 267.14/208.42 | (764) e3 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (764) can reduce 56 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (740) ~ (all_0_30_30 = e2)
% 267.14/208.42 | (797) all_0_35_35 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (797) can reduce 273 to:
% 267.14/208.42 | (755) ~ (all_0_36_36 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 755 yields:
% 267.14/208.42 | (756) ~ (all_0_36_36 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Equations (797) can reduce 570 to:
% 267.14/208.42 | (658) ~ (e3 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 658 yields:
% 267.14/208.42 | (56) ~ (e3 = e2)
% 267.14/208.42 |
% 267.14/208.42 | From (797) and (216) follows:
% 267.14/208.42 | (8911) op(e0, e4) = e2
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1115), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (522) all_0_21_21 = e2
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (453,522) yields a new equation:
% 267.14/208.42 | (3874) e3 = e2
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 3874 yields:
% 267.14/208.42 | (764) e3 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (764) can reduce 56 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (361) ~ (all_0_21_21 = e2)
% 267.14/208.42 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (7544), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1287) all_0_16_16 = e3
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (1287,921) yields a new equation:
% 267.14/208.42 | (933) e3 = e1
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 933 yields:
% 267.14/208.42 | (706) e3 = e1
% 267.14/208.42 |
% 267.14/208.42 | Equations (706) can reduce 318 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (458) ~ (all_0_16_16 = e3)
% 267.14/208.42 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1961), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1970) all_0_17_17 = e3
% 267.14/208.42 |
% 267.14/208.42 | Equations (1970) can reduce 869 to:
% 267.14/208.42 | (695) ~ (e4 = e3)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 695 yields:
% 267.14/208.42 | (277) ~ (e4 = e3)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (187), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (2611) all_0_36_36 = e4
% 267.14/208.42 |
% 267.14/208.42 | Equations (2611) can reduce 586 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (586) ~ (all_0_36_36 = e4)
% 267.14/208.42 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (29), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (476) all_0_15_15 = e1
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (483,476) yields a new equation:
% 267.14/208.42 | (961) e1 = e0
% 267.14/208.42 |
% 267.14/208.42 | Equations (961) can reduce 37 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (482) ~ (all_0_15_15 = e1)
% 267.14/208.42 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1121), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (917) all_0_22_22 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (917) can reduce 493 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (493) ~ (all_0_22_22 = e2)
% 267.14/208.42 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1125), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1126) all_0_23_23 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (1126) can reduce 39 to:
% 267.14/208.42 | (1130) ~ (all_0_38_38 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 1130 yields:
% 267.14/208.42 | (1084) ~ (all_0_38_38 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1126) can reduce 982 to:
% 267.14/208.42 | (658) ~ (e3 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 658 yields:
% 267.14/208.42 | (56) ~ (e3 = e2)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1126) can reduce 420 to:
% 267.14/208.42 | (329) ~ (e2 = e1)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (2614), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (818) all_0_36_36 = e3
% 267.14/208.42 |
% 267.14/208.42 | Equations (818) can reduce 516 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (516) ~ (all_0_36_36 = e3)
% 267.14/208.42 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (230), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (927) all_0_19_19 = e3
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (663,927) yields a new equation:
% 267.14/208.42 | (764) e3 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (764) can reduce 56 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (562) ~ (all_0_19_19 = e3)
% 267.14/208.42 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (3567), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (801) all_0_36_36 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (801) can reduce 756 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (756) ~ (all_0_36_36 = e2)
% 267.14/208.42 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (931), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (939) all_0_24_24 = e3
% 267.14/208.42 |
% 267.14/208.42 | Equations (939) can reduce 963 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (963) ~ (all_0_24_24 = e3)
% 267.14/208.42 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (3571), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1015) all_0_36_36 = e1
% 267.14/208.42 |
% 267.14/208.42 | Equations (1015) can reduce 1593 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (1593) ~ (all_0_36_36 = e1)
% 267.14/208.42 | (1065) all_0_36_36 = e0
% 267.14/208.42 |
% 267.14/208.42 | Equations (1065) can reduce 7 to:
% 267.14/208.42 | (1064) ~ (all_0_31_31 = e0)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1065) can reduce 93 to:
% 267.14/208.42 | (1285) ~ (all_0_38_38 = e0)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 1285 yields:
% 267.14/208.42 | (388) ~ (all_0_38_38 = e0)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1065) can reduce 586 to:
% 267.14/208.42 | (389) ~ (e4 = e0)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 389 yields:
% 267.14/208.42 | (287) ~ (e4 = e0)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1065) can reduce 756 to:
% 267.14/208.42 | (393) ~ (e2 = e0)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 393 yields:
% 267.14/208.42 | (347) ~ (e2 = e0)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1065) can reduce 1593 to:
% 267.14/208.42 | (395) ~ (e1 = e0)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 395 yields:
% 267.14/208.42 | (37) ~ (e1 = e0)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (358), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1165) all_0_38_38 = e4
% 267.14/208.42 |
% 267.14/208.42 | Equations (1165) can reduce 1143 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (1143) ~ (all_0_38_38 = e4)
% 267.14/208.42 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (937), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1175) all_0_20_20 = e1
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (1175,1453) yields a new equation:
% 267.14/208.42 | (480) e4 = e1
% 267.14/208.42 |
% 267.14/208.42 | Equations (480) can reduce 65 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (1409) ~ (all_0_20_20 = e1)
% 267.14/208.42 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.14/208.42 |
% 267.14/208.42 | Equations (1453) can reduce 1409 to:
% 267.14/208.42 | (65) ~ (e4 = e1)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1879), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1060) all_0_31_31 = e0
% 267.14/208.42 |
% 267.14/208.42 | Equations (1060) can reduce 1064 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (1064) ~ (all_0_31_31 = e0)
% 267.14/208.42 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (964), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1023) all_0_29_29 = e3
% 267.14/208.42 |
% 267.14/208.42 | Equations (1023) can reduce 62 to:
% 267.14/208.42 | (566) ~ (all_0_25_25 = e3)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1023) can reduce 73 to:
% 267.14/208.42 | (1035) ~ (all_0_28_28 = e3)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1023) can reduce 724 to:
% 267.14/208.42 | (695) ~ (e4 = e3)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 695 yields:
% 267.14/208.42 | (277) ~ (e4 = e3)
% 267.14/208.42 |
% 267.14/208.42 | Equations (1023) can reduce 651 to:
% 267.14/208.42 | (56) ~ (e3 = e2)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (32), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (716) all_0_19_19 = e1
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (663,716) yields a new equation:
% 267.14/208.42 | (717) e2 = e1
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 717 yields:
% 267.14/208.42 | (718) e2 = e1
% 267.14/208.42 |
% 267.14/208.42 | Equations (718) can reduce 329 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (720) ~ (all_0_19_19 = e1)
% 267.14/208.42 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 267.14/208.42 |
% 267.14/208.42 | Equations (663) can reduce 720 to:
% 267.14/208.42 | (329) ~ (e2 = e1)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1656), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (950) all_0_25_25 = e1
% 267.14/208.42 |
% 267.14/208.42 | Equations (950) can reduce 566 to:
% 267.14/208.42 | (429) ~ (e3 = e1)
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 429 yields:
% 267.14/208.42 | (318) ~ (e3 = e1)
% 267.14/208.42 |
% 267.14/208.42 | Equations (950) can reduce 1925 to:
% 267.14/208.42 | (37) ~ (e1 = e0)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (269), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1134) all_0_18_18 = e3
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (887,1134) yields a new equation:
% 267.14/208.42 | (690) e4 = e3
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 690 yields:
% 267.14/208.42 | (691) e4 = e3
% 267.14/208.42 |
% 267.14/208.42 | Equations (691) can reduce 277 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (560) ~ (all_0_18_18 = e3)
% 267.14/208.42 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (241), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1921) all_0_25_25 = e0
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (950,1921) yields a new equation:
% 267.14/208.42 | (960) e1 = e0
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 960 yields:
% 267.14/208.42 | (961) e1 = e0
% 267.14/208.42 |
% 267.14/208.42 | Equations (961) can reduce 37 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (1925) ~ (all_0_25_25 = e0)
% 267.14/208.42 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.14/208.42 |
% 267.14/208.42 | Equations (950) can reduce 1925 to:
% 267.14/208.42 | (37) ~ (e1 = e0)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1137), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (978) all_0_23_23 = e3
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (1126,978) yields a new equation:
% 267.14/208.42 | (764) e3 = e2
% 267.14/208.42 |
% 267.14/208.42 | Equations (764) can reduce 56 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (982) ~ (all_0_23_23 = e3)
% 267.14/208.42 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1168), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1077) all_0_38_38 = e3
% 267.14/208.42 |
% 267.14/208.42 | Equations (1077) can reduce 388 to:
% 267.14/208.42 | (88) ~ (e3 = e0)
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (185), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1153) all_0_18_18 = e0
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (887,1153) yields a new equation:
% 267.14/208.42 | (842) e4 = e0
% 267.14/208.42 |
% 267.14/208.42 | Simplifying 842 yields:
% 267.14/208.42 | (490) e4 = e0
% 267.14/208.42 |
% 267.14/208.42 | Equations (490) can reduce 287 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (1156) ~ (all_0_18_18 = e0)
% 267.14/208.42 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (115), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (1446) all_0_31_31 = e4
% 267.14/208.42 |
% 267.14/208.42 | Equations (1446) can reduce 584 to:
% 267.14/208.42 | (366) $false
% 267.14/208.42 |
% 267.14/208.42 |-The branch is then unsatisfiable
% 267.14/208.42 |-Branch two:
% 267.14/208.42 | (584) ~ (all_0_31_31 = e4)
% 267.14/208.42 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.14/208.42 |
% 267.14/208.42 +-Applying beta-rule and splitting (1157), into two cases.
% 267.14/208.42 |-Branch one:
% 267.14/208.42 | (851) all_0_23_23 = e0
% 267.14/208.42 |
% 267.14/208.42 | Combining equations (851,1126) yields a new equation:
% 267.14/208.42 | (551) e2 = e0
% 267.14/208.42 |
% 267.14/208.43 | Equations (551) can reduce 347 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (1068) ~ (all_0_23_23 = e0)
% 267.14/208.43 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.14/208.43 |
% 267.14/208.43 +-Applying beta-rule and splitting (1228), into two cases.
% 267.14/208.43 |-Branch one:
% 267.14/208.43 | (1044) all_0_28_28 = e0
% 267.14/208.43 |
% 267.14/208.43 +-Applying beta-rule and splitting (1631), into two cases.
% 267.14/208.43 |-Branch one:
% 267.14/208.43 | (763) all_0_31_31 = e3
% 267.14/208.43 |
% 267.14/208.43 | Equations (763) can reduce 510 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (510) ~ (all_0_31_31 = e3)
% 267.14/208.43 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.14/208.43 |
% 267.14/208.43 +-Applying beta-rule and splitting (1635), into two cases.
% 267.14/208.43 |-Branch one:
% 267.14/208.43 | (751) all_0_31_31 = e2
% 267.14/208.43 |
% 267.14/208.43 | Equations (751) can reduce 423 to:
% 267.14/208.43 | (329) ~ (e2 = e1)
% 267.14/208.43 |
% 267.14/208.43 +-Applying beta-rule and splitting (24662), into two cases.
% 267.14/208.43 |-Branch one:
% 267.14/208.43 | (24917) ~ (op(all_0_28_28, e4) = e2)
% 267.14/208.43 |
% 267.14/208.43 | From (1044) and (24917) follows:
% 267.14/208.43 | (8912) ~ (op(e0, e4) = e2)
% 267.14/208.43 |
% 267.14/208.43 | Using (8911) and (8912) yields:
% 267.14/208.43 | (821) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (24920) op(all_0_28_28, e4) = e2
% 267.14/208.43 | (718) e2 = e1
% 267.14/208.43 |
% 267.14/208.43 | Equations (718) can reduce 329 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (1099) ~ (all_0_31_31 = e2)
% 267.14/208.43 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 267.14/208.43 |
% 267.14/208.43 +-Applying beta-rule and splitting (1639), into two cases.
% 267.14/208.43 |-Branch one:
% 267.14/208.43 | (1010) all_0_31_31 = e1
% 267.14/208.43 |
% 267.14/208.43 | Equations (1010) can reduce 423 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (423) ~ (all_0_31_31 = e1)
% 267.14/208.43 | (1060) all_0_31_31 = e0
% 267.14/208.43 |
% 267.14/208.43 | Equations (1060) can reduce 1064 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (886) ~ (all_0_28_28 = e0)
% 267.14/208.43 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 267.14/208.43 |
% 267.14/208.43 +-Applying beta-rule and splitting (1253), into two cases.
% 267.14/208.43 |-Branch one:
% 267.14/208.43 | (1254) all_0_33_33 = e0
% 267.14/208.43 |
% 267.14/208.43 | Combining equations (418,1254) yields a new equation:
% 267.14/208.43 | (960) e1 = e0
% 267.14/208.43 |
% 267.14/208.43 | Simplifying 960 yields:
% 267.14/208.43 | (961) e1 = e0
% 267.14/208.43 |
% 267.14/208.43 | Equations (961) can reduce 37 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (399) ~ (all_0_33_33 = e0)
% 267.14/208.43 | (1214) all_0_38_38 = e0
% 267.14/208.43 |
% 267.14/208.43 | Combining equations (1214,1077) yields a new equation:
% 267.14/208.43 | (980) e3 = e0
% 267.14/208.43 |
% 267.14/208.43 | Equations (980) can reduce 88 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (1080) ~ (all_0_38_38 = e3)
% 267.14/208.43 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.14/208.43 |
% 267.14/208.43 +-Applying beta-rule and splitting (3084), into two cases.
% 267.14/208.43 |-Branch one:
% 267.14/208.43 | (896) all_0_28_28 = e3
% 267.14/208.43 |
% 267.14/208.43 | Equations (896) can reduce 1035 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (1035) ~ (all_0_28_28 = e3)
% 267.14/208.43 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 267.14/208.43 |
% 267.14/208.43 +-Applying beta-rule and splitting (3089), into two cases.
% 267.14/208.43 |-Branch one:
% 267.14/208.43 | (410) all_0_33_33 = e3
% 267.14/208.43 |
% 267.14/208.43 | Combining equations (418,410) yields a new equation:
% 267.14/208.43 | (706) e3 = e1
% 267.14/208.43 |
% 267.14/208.43 | Equations (706) can reduce 318 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.14/208.43 |-Branch two:
% 267.14/208.43 | (403) ~ (all_0_33_33 = e3)
% 267.14/208.43 | (1077) all_0_38_38 = e3
% 267.14/208.43 |
% 267.14/208.43 | Equations (1077) can reduce 1080 to:
% 267.14/208.43 | (366) $false
% 267.14/208.43 |
% 267.14/208.43 |-The branch is then unsatisfiable
% 267.19/208.43 |-Branch two:
% 267.19/208.43 | (946) ~ (all_0_25_25 = e1)
% 267.19/208.43 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 267.19/208.43 |
% 267.19/208.43 +-Applying beta-rule and splitting (1168), into two cases.
% 267.19/208.43 |-Branch one:
% 267.19/208.43 | (1077) all_0_38_38 = e3
% 267.19/208.43 |
% 267.19/208.43 | Equations (1077) can reduce 388 to:
% 267.19/208.43 | (88) ~ (e3 = e0)
% 267.19/208.43 |
% 267.19/208.43 +-Applying beta-rule and splitting (185), into two cases.
% 267.19/208.43 |-Branch one:
% 267.19/208.43 | (1153) all_0_18_18 = e0
% 267.19/208.43 |
% 267.19/208.43 | Combining equations (887,1153) yields a new equation:
% 267.19/208.43 | (842) e4 = e0
% 267.19/208.43 |
% 267.19/208.43 | Simplifying 842 yields:
% 267.19/208.43 | (490) e4 = e0
% 267.19/208.43 |
% 267.19/208.43 | Equations (490) can reduce 287 to:
% 267.19/208.43 | (366) $false
% 267.19/208.43 |
% 267.19/208.43 |-The branch is then unsatisfiable
% 267.19/208.43 |-Branch two:
% 267.19/208.43 | (1156) ~ (all_0_18_18 = e0)
% 267.19/208.43 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.19/208.43 |
% 267.19/208.43 +-Applying beta-rule and splitting (126), into two cases.
% 267.19/208.43 |-Branch one:
% 267.19/208.43 | (950) all_0_25_25 = e1
% 267.19/208.43 |
% 267.19/208.43 | Equations (950) can reduce 946 to:
% 267.19/208.43 | (366) $false
% 267.19/208.43 |
% 267.19/208.43 |-The branch is then unsatisfiable
% 267.19/208.43 |-Branch two:
% 267.19/208.43 | (946) ~ (all_0_25_25 = e1)
% 267.19/208.43 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 267.19/208.43 |
% 267.19/208.43 +-Applying beta-rule and splitting (2009), into two cases.
% 267.19/208.43 |-Branch one:
% 267.19/208.43 | (1005) all_0_26_26 = e1
% 267.19/208.43 |
% 267.19/208.43 | Combining equations (1237,1005) yields a new equation:
% 267.19/208.43 | (955) e4 = e1
% 267.19/208.43 |
% 267.19/208.43 | Simplifying 955 yields:
% 267.19/208.43 | (480) e4 = e1
% 267.19/208.43 |
% 267.19/208.43 | Equations (480) can reduce 65 to:
% 267.19/208.43 | (366) $false
% 267.19/208.43 |
% 267.19/208.43 |-The branch is then unsatisfiable
% 267.19/208.43 |-Branch two:
% 267.19/208.43 | (1008) ~ (all_0_26_26 = e1)
% 267.19/208.43 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 267.19/208.43 |
% 267.19/208.43 +-Applying beta-rule and splitting (1157), into two cases.
% 267.19/208.43 |-Branch one:
% 267.19/208.43 | (851) all_0_23_23 = e0
% 267.19/208.43 |
% 267.19/208.43 | Combining equations (1126,851) yields a new equation:
% 267.19/208.43 | (836) e2 = e0
% 267.19/208.43 |
% 267.19/208.43 | Simplifying 836 yields:
% 267.19/208.43 | (551) e2 = e0
% 267.19/208.43 |
% 267.19/208.43 | Equations (551) can reduce 347 to:
% 267.19/208.43 | (366) $false
% 267.19/208.43 |
% 267.19/208.43 |-The branch is then unsatisfiable
% 267.19/208.43 |-Branch two:
% 267.19/208.43 | (1068) ~ (all_0_23_23 = e0)
% 267.19/208.43 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.19/208.43 |
% 267.19/208.43 +-Applying beta-rule and splitting (2035), into two cases.
% 267.19/208.43 |-Branch one:
% 267.19/208.43 | (543) all_0_27_27 = e1
% 267.19/208.43 |
% 267.19/208.43 | Combining equations (443,543) yields a new equation:
% 267.19/208.43 | (717) e2 = e1
% 267.19/208.43 |
% 267.19/208.43 | Simplifying 717 yields:
% 267.19/208.43 | (718) e2 = e1
% 267.19/208.43 |
% 267.19/208.43 | Equations (718) can reduce 329 to:
% 267.19/208.43 | (366) $false
% 267.19/208.43 |
% 267.19/208.43 |-The branch is then unsatisfiable
% 267.19/208.43 |-Branch two:
% 267.19/208.43 | (402) ~ (all_0_27_27 = e1)
% 267.19/208.43 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 267.19/208.43 |
% 267.19/208.43 | Equations (443) can reduce 402 to:
% 267.19/208.43 | (329) ~ (e2 = e1)
% 267.19/208.43 |
% 267.19/208.43 +-Applying beta-rule and splitting (1228), into two cases.
% 267.19/208.43 |-Branch one:
% 267.19/208.43 | (1044) all_0_28_28 = e0
% 267.19/208.43 |
% 267.19/208.43 +-Applying beta-rule and splitting (24662), into two cases.
% 267.19/208.43 |-Branch one:
% 267.19/208.43 | (24917) ~ (op(all_0_28_28, e4) = e2)
% 267.19/208.43 |
% 267.19/208.43 | From (1044) and (24917) follows:
% 267.19/208.43 | (8912) ~ (op(e0, e4) = e2)
% 267.19/208.43 |
% 267.19/208.43 | Using (8911) and (8912) yields:
% 267.19/208.43 | (821) $false
% 267.19/208.43 |
% 267.19/208.43 |-The branch is then unsatisfiable
% 267.19/208.43 |-Branch two:
% 267.19/208.43 | (24920) op(all_0_28_28, e4) = e2
% 267.19/208.43 | (718) e2 = e1
% 267.19/208.44 |
% 267.19/208.44 | Equations (718) can reduce 329 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (886) ~ (all_0_28_28 = e0)
% 267.19/208.44 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (1253), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (1254) all_0_33_33 = e0
% 267.19/208.44 |
% 267.19/208.44 | Combining equations (418,1254) yields a new equation:
% 267.19/208.44 | (960) e1 = e0
% 267.19/208.44 |
% 267.19/208.44 | Simplifying 960 yields:
% 267.19/208.44 | (961) e1 = e0
% 267.19/208.44 |
% 267.19/208.44 | Equations (961) can reduce 37 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (399) ~ (all_0_33_33 = e0)
% 267.19/208.44 | (1214) all_0_38_38 = e0
% 267.19/208.44 |
% 267.19/208.44 | Combining equations (1077,1214) yields a new equation:
% 267.19/208.44 | (979) e3 = e0
% 267.19/208.44 |
% 267.19/208.44 | Simplifying 979 yields:
% 267.19/208.44 | (980) e3 = e0
% 267.19/208.44 |
% 267.19/208.44 | Equations (980) can reduce 88 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (1080) ~ (all_0_38_38 = e3)
% 267.19/208.44 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (1206), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (809) all_0_38_38 = e2
% 267.19/208.44 |
% 267.19/208.44 | Equations (809) can reduce 1084 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (1084) ~ (all_0_38_38 = e2)
% 267.19/208.44 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (1210), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (1211) all_0_38_38 = e1
% 267.19/208.44 |
% 267.19/208.44 | Equations (1211) can reduce 428 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (428) ~ (all_0_38_38 = e1)
% 267.19/208.44 | (1214) all_0_38_38 = e0
% 267.19/208.44 |
% 267.19/208.44 | Equations (1214) can reduce 388 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (898) ~ (all_0_29_29 = e3)
% 267.19/208.44 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (1026), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (1027) all_0_34_34 = e3
% 267.19/208.44 |
% 267.19/208.44 | Equations (1027) can reduce 1031 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (1031) ~ (all_0_34_34 = e3)
% 267.19/208.44 | (369) all_0_39_39 = e3
% 267.19/208.44 |
% 267.19/208.44 | Combining equations (369,365) yields a new equation:
% 267.19/208.44 | (691) e4 = e3
% 267.19/208.44 |
% 267.19/208.44 | Equations (691) can reduce 277 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (810) ~ (all_0_23_23 = e2)
% 267.19/208.44 | (1393) all_0_24_24 = e2
% 267.19/208.44 |
% 267.19/208.44 | Equations (1393) can reduce 668 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (558) ~ (all_0_17_17 = e3)
% 267.19/208.44 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (1121), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (917) all_0_22_22 = e2
% 267.19/208.44 |
% 267.19/208.44 | Equations (917) can reduce 493 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (493) ~ (all_0_22_22 = e2)
% 267.19/208.44 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (7699), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (1970) all_0_17_17 = e3
% 267.19/208.44 |
% 267.19/208.44 | Equations (1970) can reduce 558 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (558) ~ (all_0_17_17 = e3)
% 267.19/208.44 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (1125), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (1126) all_0_23_23 = e2
% 267.19/208.44 |
% 267.19/208.44 | Equations (1126) can reduce 982 to:
% 267.19/208.44 | (658) ~ (e3 = e2)
% 267.19/208.44 |
% 267.19/208.44 | Simplifying 658 yields:
% 267.19/208.44 | (56) ~ (e3 = e2)
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (7722), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (1134) all_0_18_18 = e3
% 267.19/208.44 |
% 267.19/208.44 | Combining equations (887,1134) yields a new equation:
% 267.19/208.44 | (690) e4 = e3
% 267.19/208.44 |
% 267.19/208.44 | Simplifying 690 yields:
% 267.19/208.44 | (691) e4 = e3
% 267.19/208.44 |
% 267.19/208.44 | Equations (691) can reduce 277 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (560) ~ (all_0_18_18 = e3)
% 267.19/208.44 | (927) all_0_19_19 = e3
% 267.19/208.44 |
% 267.19/208.44 | Combining equations (663,927) yields a new equation:
% 267.19/208.44 | (764) e3 = e2
% 267.19/208.44 |
% 267.19/208.44 | Equations (764) can reduce 56 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (810) ~ (all_0_23_23 = e2)
% 267.19/208.44 | (1393) all_0_24_24 = e2
% 267.19/208.44 |
% 267.19/208.44 | Equations (1393) can reduce 668 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (25049) all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_35_35, all_0_35_35) = all_0_1_1))
% 267.19/208.44 |
% 267.19/208.44 | Applying alpha-rule on (25049) yields:
% 267.19/208.44 | (24713) all_0_2_2 = all_0_35_35
% 267.19/208.44 | (25051) ( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e2) & op(all_0_35_35, all_0_35_35) = all_0_1_1)
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (114), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (472) all_0_15_15 = e2
% 267.19/208.44 |
% 267.19/208.44 | Combining equations (472,483) yields a new equation:
% 267.19/208.44 | (836) e2 = e0
% 267.19/208.44 |
% 267.19/208.44 | Simplifying 836 yields:
% 267.19/208.44 | (551) e2 = e0
% 267.19/208.44 |
% 267.19/208.44 | Equations (551) can reduce 347 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (447) ~ (all_0_15_15 = e2)
% 267.19/208.44 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (2791), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (697) all_0_16_16 = e2
% 267.19/208.44 |
% 267.19/208.44 | Combining equations (697,921) yields a new equation:
% 267.19/208.44 | (717) e2 = e1
% 267.19/208.44 |
% 267.19/208.44 | Simplifying 717 yields:
% 267.19/208.44 | (718) e2 = e1
% 267.19/208.44 |
% 267.19/208.44 | Equations (718) can reduce 329 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (664) ~ (all_0_16_16 = e2)
% 267.19/208.44 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.19/208.44 |
% 267.19/208.44 | Equations (921) can reduce 664 to:
% 267.19/208.44 | (1002) ~ (e2 = e1)
% 267.19/208.44 |
% 267.19/208.44 | Simplifying 1002 yields:
% 267.19/208.44 | (329) ~ (e2 = e1)
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (2933), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (1980) all_0_17_17 = e2
% 267.19/208.44 |
% 267.19/208.44 | Equations (1980) can reduce 459 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (459) ~ (all_0_17_17 = e2)
% 267.19/208.44 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 267.19/208.44 |
% 267.19/208.44 +-Applying beta-rule and splitting (240), into two cases.
% 267.19/208.44 |-Branch one:
% 267.19/208.44 | (865) all_0_17_17 = e4
% 267.19/208.44 |
% 267.19/208.44 | Equations (865) can reduce 869 to:
% 267.19/208.44 | (366) $false
% 267.19/208.44 |
% 267.19/208.44 |-The branch is then unsatisfiable
% 267.19/208.44 |-Branch two:
% 267.19/208.44 | (869) ~ (all_0_17_17 = e4)
% 267.19/208.44 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.19/208.44 |
% 267.19/208.45 +-Applying beta-rule and splitting (2921), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (736) all_0_20_20 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (736,1453) yields a new equation:
% 267.19/208.45 | (539) e4 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (539) can reduce 19 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (1114) ~ (all_0_20_20 = e2)
% 267.19/208.45 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (10030), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (3159) all_0_25_25 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (3159) can reduce 646 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (646) ~ (all_0_25_25 = e2)
% 267.19/208.45 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (16274), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (747) all_0_30_30 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (759,747) yields a new equation:
% 267.19/208.45 | (3874) e3 = e2
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 3874 yields:
% 267.19/208.45 | (764) e3 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (764) can reduce 56 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (740) ~ (all_0_30_30 = e2)
% 267.19/208.45 | (797) all_0_35_35 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (797,24713) yields a new equation:
% 267.19/208.45 | (25089) all_0_2_2 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (797) can reduce 98 to:
% 267.19/208.45 | (646) ~ (all_0_25_25 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Equations (797) can reduce 273 to:
% 267.19/208.45 | (755) ~ (all_0_36_36 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 755 yields:
% 267.19/208.45 | (756) ~ (all_0_36_36 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Equations (797) can reduce 121 to:
% 267.19/208.45 | (654) ~ (all_0_37_37 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 654 yields:
% 267.19/208.45 | (515) ~ (all_0_37_37 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Equations (797) can reduce 514 to:
% 267.19/208.45 | (444) ~ (e4 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 444 yields:
% 267.19/208.45 | (19) ~ (e4 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Equations (797) can reduce 570 to:
% 267.19/208.45 | (658) ~ (e3 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 658 yields:
% 267.19/208.45 | (56) ~ (e3 = e2)
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (340), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (697) all_0_16_16 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (697,921) yields a new equation:
% 267.19/208.45 | (717) e2 = e1
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 717 yields:
% 267.19/208.45 | (718) e2 = e1
% 267.19/208.45 |
% 267.19/208.45 | Equations (718) can reduce 329 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (664) ~ (all_0_16_16 = e2)
% 267.19/208.45 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (700), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (522) all_0_21_21 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (453,522) yields a new equation:
% 267.19/208.45 | (3874) e3 = e2
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 3874 yields:
% 267.19/208.45 | (764) e3 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (764) can reduce 56 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (361) ~ (all_0_21_21 = e2)
% 267.19/208.45 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (453) can reduce 361 to:
% 267.19/208.45 | (56) ~ (e3 = e2)
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (29), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (476) all_0_15_15 = e1
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (476,483) yields a new equation:
% 267.19/208.45 | (960) e1 = e0
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 960 yields:
% 267.19/208.45 | (961) e1 = e0
% 267.19/208.45 |
% 267.19/208.45 | Equations (961) can reduce 37 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (482) ~ (all_0_15_15 = e1)
% 267.19/208.45 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (937), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (1175) all_0_20_20 = e1
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (1175,1453) yields a new equation:
% 267.19/208.45 | (480) e4 = e1
% 267.19/208.45 |
% 267.19/208.45 | Equations (480) can reduce 65 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (1409) ~ (all_0_20_20 = e1)
% 267.19/208.45 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (2937), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (1274) all_0_18_18 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (1274,887) yields a new equation:
% 267.19/208.45 | (539) e4 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (539) can reduce 19 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (666) ~ (all_0_18_18 = e2)
% 267.19/208.45 | (663) all_0_19_19 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (663) can reduce 87 to:
% 267.19/208.45 | (667) ~ (all_0_24_24 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 667 yields:
% 267.19/208.45 | (668) ~ (all_0_24_24 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Equations (663) can reduce 280 to:
% 267.19/208.45 | (671) ~ (all_0_34_34 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 671 yields:
% 267.19/208.45 | (672) ~ (all_0_34_34 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Equations (663) can reduce 714 to:
% 267.19/208.45 | (444) ~ (e4 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 444 yields:
% 267.19/208.45 | (19) ~ (e4 = e2)
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (309), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (1274) all_0_18_18 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (887,1274) yields a new equation:
% 267.19/208.45 | (1111) e4 = e2
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 1111 yields:
% 267.19/208.45 | (539) e4 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (539) can reduce 19 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (666) ~ (all_0_18_18 = e2)
% 267.19/208.45 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (887) can reduce 666 to:
% 267.19/208.45 | (19) ~ (e4 = e2)
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (51), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (736) all_0_20_20 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (1453,736) yields a new equation:
% 267.19/208.45 | (1111) e4 = e2
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 1111 yields:
% 267.19/208.45 | (539) e4 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (539) can reduce 19 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (1114) ~ (all_0_20_20 = e2)
% 267.19/208.45 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (1453) can reduce 1114 to:
% 267.19/208.45 | (19) ~ (e4 = e2)
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (72), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (468) all_0_15_15 = e3
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (483,468) yields a new equation:
% 267.19/208.45 | (980) e3 = e0
% 267.19/208.45 |
% 267.19/208.45 | Equations (980) can reduce 88 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (433) ~ (all_0_15_15 = e3)
% 267.19/208.45 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (1115), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (522) all_0_21_21 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (453,522) yields a new equation:
% 267.19/208.45 | (3874) e3 = e2
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 3874 yields:
% 267.19/208.45 | (764) e3 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (764) can reduce 56 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (361) ~ (all_0_21_21 = e2)
% 267.19/208.45 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (7544), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (1287) all_0_16_16 = e3
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (1287,921) yields a new equation:
% 267.19/208.45 | (933) e3 = e1
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 933 yields:
% 267.19/208.45 | (706) e3 = e1
% 267.19/208.45 |
% 267.19/208.45 | Equations (706) can reduce 318 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (458) ~ (all_0_16_16 = e3)
% 267.19/208.45 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (1121), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (917) all_0_22_22 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (917) can reduce 493 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (493) ~ (all_0_22_22 = e2)
% 267.19/208.45 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (1961), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (1970) all_0_17_17 = e3
% 267.19/208.45 |
% 267.19/208.45 | Equations (1970) can reduce 132 to:
% 267.19/208.45 | (776) ~ (all_0_37_37 = e3)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 776 yields:
% 267.19/208.45 | (777) ~ (all_0_37_37 = e3)
% 267.19/208.45 |
% 267.19/208.45 | Equations (1970) can reduce 869 to:
% 267.19/208.45 | (695) ~ (e4 = e3)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 695 yields:
% 267.19/208.45 | (277) ~ (e4 = e3)
% 267.19/208.45 |
% 267.19/208.45 | Equations (1970) can reduce 1501 to:
% 267.19/208.45 | (318) ~ (e3 = e1)
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (2289), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (2380) all_0_26_26 = e2
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (1237,2380) yields a new equation:
% 267.19/208.45 | (1111) e4 = e2
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 1111 yields:
% 267.19/208.45 | (539) e4 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (539) can reduce 19 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (647) ~ (all_0_26_26 = e2)
% 267.19/208.45 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (1125), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (1126) all_0_23_23 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (1126) can reduce 982 to:
% 267.19/208.45 | (658) ~ (e3 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 658 yields:
% 267.19/208.45 | (56) ~ (e3 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Equations (1126) can reduce 420 to:
% 267.19/208.45 | (329) ~ (e2 = e1)
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (187), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (2611) all_0_36_36 = e4
% 267.19/208.45 |
% 267.19/208.45 | Equations (2611) can reduce 586 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (586) ~ (all_0_36_36 = e4)
% 267.19/208.45 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (164), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (814) all_0_35_35 = e3
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (797,814) yields a new equation:
% 267.19/208.45 | (764) e3 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (764) can reduce 56 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (570) ~ (all_0_35_35 = e3)
% 267.19/208.45 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 267.19/208.45 |
% 267.19/208.45 | Equations (797) can reduce 570 to:
% 267.19/208.45 | (658) ~ (e3 = e2)
% 267.19/208.45 |
% 267.19/208.45 | Simplifying 658 yields:
% 267.19/208.45 | (56) ~ (e3 = e2)
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (230), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (927) all_0_19_19 = e3
% 267.19/208.45 |
% 267.19/208.45 | Combining equations (663,927) yields a new equation:
% 267.19/208.45 | (764) e3 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (764) can reduce 56 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (562) ~ (all_0_19_19 = e3)
% 267.19/208.45 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (83), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (723) all_0_34_34 = e4
% 267.19/208.45 |
% 267.19/208.45 | Equations (723) can reduce 1395 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (1395) ~ (all_0_34_34 = e4)
% 267.19/208.45 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (3136), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (2438) all_0_25_25 = e3
% 267.19/208.45 |
% 267.19/208.45 | Equations (2438) can reduce 566 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (566) ~ (all_0_25_25 = e3)
% 267.19/208.45 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (3158), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (3159) all_0_25_25 = e2
% 267.19/208.45 |
% 267.19/208.45 | Equations (3159) can reduce 646 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (646) ~ (all_0_25_25 = e2)
% 267.19/208.45 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (2614), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (818) all_0_36_36 = e3
% 267.19/208.45 |
% 267.19/208.45 | Equations (818) can reduce 516 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.45 | (516) ~ (all_0_36_36 = e3)
% 267.19/208.45 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.19/208.45 |
% 267.19/208.45 +-Applying beta-rule and splitting (1396), into two cases.
% 267.19/208.45 |-Branch one:
% 267.19/208.45 | (1027) all_0_34_34 = e3
% 267.19/208.45 |
% 267.19/208.45 | Equations (1027) can reduce 1031 to:
% 267.19/208.45 | (366) $false
% 267.19/208.45 |
% 267.19/208.45 |-The branch is then unsatisfiable
% 267.19/208.45 |-Branch two:
% 267.19/208.46 | (1031) ~ (all_0_34_34 = e3)
% 267.19/208.46 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (16), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (1196) all_0_35_35 = e1
% 267.19/208.46 |
% 267.19/208.46 | Combining equations (797,1196) yields a new equation:
% 267.19/208.46 | (717) e2 = e1
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 717 yields:
% 267.19/208.46 | (718) e2 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (718) can reduce 329 to:
% 267.19/208.46 | (366) $false
% 267.19/208.46 |
% 267.19/208.46 |-The branch is then unsatisfiable
% 267.19/208.46 |-Branch two:
% 267.19/208.46 | (1177) ~ (all_0_35_35 = e1)
% 267.19/208.46 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (797) can reduce 1177 to:
% 267.19/208.46 | (329) ~ (e2 = e1)
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (931), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (939) all_0_24_24 = e3
% 267.19/208.46 |
% 267.19/208.46 | Equations (939) can reduce 963 to:
% 267.19/208.46 | (366) $false
% 267.19/208.46 |
% 267.19/208.46 |-The branch is then unsatisfiable
% 267.19/208.46 |-Branch two:
% 267.19/208.46 | (963) ~ (all_0_24_24 = e3)
% 267.19/208.46 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (1656), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (950) all_0_25_25 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (950) can reduce 501 to:
% 267.19/208.46 | (477) ~ (e4 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 477 yields:
% 267.19/208.46 | (65) ~ (e4 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Equations (950) can reduce 566 to:
% 267.19/208.46 | (429) ~ (e3 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 429 yields:
% 267.19/208.46 | (318) ~ (e3 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Equations (950) can reduce 646 to:
% 267.19/208.46 | (1002) ~ (e2 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 1002 yields:
% 267.19/208.46 | (329) ~ (e2 = e1)
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (1199), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (1015) all_0_36_36 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (1015) can reduce 1593 to:
% 267.19/208.46 | (366) $false
% 267.19/208.46 |
% 267.19/208.46 |-The branch is then unsatisfiable
% 267.19/208.46 |-Branch two:
% 267.19/208.46 | (1593) ~ (all_0_36_36 = e1)
% 267.19/208.46 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (2672), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (1590) all_0_37_37 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (1590) can reduce 202 to:
% 267.19/208.46 | (1018) ~ (all_0_22_22 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Equations (1590) can reduce 183 to:
% 267.19/208.46 | (1593) ~ (all_0_36_36 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Equations (1590) can reduce 2658 to:
% 267.19/208.46 | (477) ~ (e4 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 477 yields:
% 267.19/208.46 | (65) ~ (e4 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Equations (1590) can reduce 777 to:
% 267.19/208.46 | (429) ~ (e3 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 429 yields:
% 267.19/208.46 | (318) ~ (e3 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Equations (1590) can reduce 515 to:
% 267.19/208.46 | (1002) ~ (e2 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 1002 yields:
% 267.19/208.46 | (329) ~ (e2 = e1)
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (308), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (1175) all_0_20_20 = e1
% 267.19/208.46 |
% 267.19/208.46 | Combining equations (1175,1453) yields a new equation:
% 267.19/208.46 | (480) e4 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (480) can reduce 65 to:
% 267.19/208.46 | (366) $false
% 267.19/208.46 |
% 267.19/208.46 |-The branch is then unsatisfiable
% 267.19/208.46 |-Branch two:
% 267.19/208.46 | (1409) ~ (all_0_20_20 = e1)
% 267.19/208.46 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (4682), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (526) all_0_21_21 = e1
% 267.19/208.46 |
% 267.19/208.46 | Combining equations (526,453) yields a new equation:
% 267.19/208.46 | (706) e3 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (706) can reduce 318 to:
% 267.19/208.46 | (366) $false
% 267.19/208.46 |
% 267.19/208.46 |-The branch is then unsatisfiable
% 267.19/208.46 |-Branch two:
% 267.19/208.46 | (363) ~ (all_0_21_21 = e1)
% 267.19/208.46 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (4688), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (999) all_0_22_22 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (999) can reduce 1018 to:
% 267.19/208.46 | (366) $false
% 267.19/208.46 |
% 267.19/208.46 |-The branch is then unsatisfiable
% 267.19/208.46 |-Branch two:
% 267.19/208.46 | (1018) ~ (all_0_22_22 = e1)
% 267.19/208.46 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (5033), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (3952) all_0_23_23 = e1
% 267.19/208.46 |
% 267.19/208.46 | Combining equations (1126,3952) yields a new equation:
% 267.19/208.46 | (717) e2 = e1
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 717 yields:
% 267.19/208.46 | (718) e2 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (718) can reduce 329 to:
% 267.19/208.46 | (366) $false
% 267.19/208.46 |
% 267.19/208.46 |-The branch is then unsatisfiable
% 267.19/208.46 |-Branch two:
% 267.19/208.46 | (420) ~ (all_0_23_23 = e1)
% 267.19/208.46 | (940) all_0_24_24 = e1
% 267.19/208.46 |
% 267.19/208.46 | Equations (940) can reduce 4 to:
% 267.19/208.46 | (425) ~ (all_0_34_34 = e1)
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 425 yields:
% 267.19/208.46 | (426) ~ (all_0_34_34 = e1)
% 267.19/208.46 |
% 267.19/208.46 +-Applying beta-rule and splitting (24532), into two cases.
% 267.19/208.46 |-Branch one:
% 267.19/208.46 | (25274) all_0_2_2 = all_0_35_35 & ~ (all_0_35_35 = e2)
% 267.19/208.46 |
% 267.19/208.46 | Applying alpha-rule on (25274) yields:
% 267.19/208.46 | (24713) all_0_2_2 = all_0_35_35
% 267.19/208.46 | (742) ~ (all_0_35_35 = e2)
% 267.19/208.46 |
% 267.19/208.46 | Combining equations (24713,25089) yields a new equation:
% 267.19/208.46 | (25277) all_0_35_35 = e2
% 267.19/208.46 |
% 267.19/208.46 | Simplifying 25277 yields:
% 267.19/208.46 | (797) all_0_35_35 = e2
% 267.19/208.46 |
% 267.19/208.46 | Equations (797) can reduce 742 to:
% 267.19/208.46 | (366) $false
% 267.19/208.46 |
% 267.19/208.46 |-The branch is then unsatisfiable
% 267.19/208.46 |-Branch two:
% 267.19/208.46 | (25280) all_0_2_2 = all_0_35_35 & (( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_35_35, all_0_35_35) = all_0_1_1))
% 267.19/208.46 |
% 267.19/208.46 | Applying alpha-rule on (25280) yields:
% 267.19/208.46 | (24713) all_0_2_2 = all_0_35_35
% 267.19/208.46 | (25282) ( ~ (all_0_0_0 = e1) & op(e0, all_0_35_35) = all_0_0_0) | ( ~ (all_0_1_1 = e3) & op(all_0_35_35, all_0_35_35) = all_0_1_1)
% 267.19/208.46 |
% 267.19/208.47 | Combining equations (24713,25089) yields a new equation:
% 267.19/208.47 | (25277) all_0_35_35 = e2
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 25277 yields:
% 267.19/208.47 | (797) all_0_35_35 = e2
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1709), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1110) all_0_34_34 = e2
% 267.19/208.47 |
% 267.19/208.47 | Equations (1110) can reduce 672 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (672) ~ (all_0_34_34 = e2)
% 267.19/208.47 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1713), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (954) all_0_34_34 = e1
% 267.19/208.47 |
% 267.19/208.47 | Equations (954) can reduce 426 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (426) ~ (all_0_34_34 = e1)
% 267.19/208.47 | (1717) all_0_34_34 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (1717) can reduce 41 to:
% 267.19/208.47 | (383) ~ (all_0_29_29 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Equations (1717) can reduce 188 to:
% 267.19/208.47 | (1064) ~ (all_0_31_31 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Equations (1717) can reduce 1395 to:
% 267.19/208.47 | (389) ~ (e4 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 389 yields:
% 267.19/208.47 | (287) ~ (e4 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Equations (1717) can reduce 1031 to:
% 267.19/208.47 | (391) ~ (e3 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 391 yields:
% 267.19/208.47 | (88) ~ (e3 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Equations (1717) can reduce 426 to:
% 267.19/208.47 | (395) ~ (e1 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 395 yields:
% 267.19/208.47 | (37) ~ (e1 = e0)
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (357), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1250) all_0_29_29 = e4
% 267.19/208.47 |
% 267.19/208.47 | Equations (1250) can reduce 724 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (724) ~ (all_0_29_29 = e4)
% 267.19/208.47 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (2812), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1023) all_0_29_29 = e3
% 267.19/208.47 |
% 267.19/208.47 | Equations (1023) can reduce 383 to:
% 267.19/208.47 | (88) ~ (e3 = e0)
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (241), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1921) all_0_25_25 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (950,1921) yields a new equation:
% 267.19/208.47 | (960) e1 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 960 yields:
% 267.19/208.47 | (961) e1 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (961) can reduce 37 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1925) ~ (all_0_25_25 = e0)
% 267.19/208.47 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1926), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (883) all_0_26_26 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (1237,883) yields a new equation:
% 267.19/208.47 | (842) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 842 yields:
% 267.19/208.47 | (490) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (490) can reduce 287 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1058) ~ (all_0_26_26 = e0)
% 267.19/208.47 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (1237) can reduce 1058 to:
% 267.19/208.47 | (287) ~ (e4 = e0)
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (2383), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (751) all_0_31_31 = e2
% 267.19/208.47 |
% 267.19/208.47 | Equations (751) can reduce 7 to:
% 267.19/208.47 | (755) ~ (all_0_36_36 = e2)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 755 yields:
% 267.19/208.47 | (756) ~ (all_0_36_36 = e2)
% 267.19/208.47 |
% 267.19/208.47 | Equations (751) can reduce 423 to:
% 267.19/208.47 | (329) ~ (e2 = e1)
% 267.19/208.47 |
% 267.19/208.47 | Equations (751) can reduce 1064 to:
% 267.19/208.47 | (347) ~ (e2 = e0)
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (876), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (529) all_0_21_21 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (529,453) yields a new equation:
% 267.19/208.47 | (980) e3 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (980) can reduce 88 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (398) ~ (all_0_21_21 = e0)
% 267.19/208.47 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (882), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (883) all_0_26_26 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (1237,883) yields a new equation:
% 267.19/208.47 | (842) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 842 yields:
% 267.19/208.47 | (490) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (490) can reduce 287 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1058) ~ (all_0_26_26 = e0)
% 267.19/208.47 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1059), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1060) all_0_31_31 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (751,1060) yields a new equation:
% 267.19/208.47 | (836) e2 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 836 yields:
% 267.19/208.47 | (551) e2 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (551) can reduce 347 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1064) ~ (all_0_31_31 = e0)
% 267.19/208.47 | (1065) all_0_36_36 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (1065) can reduce 93 to:
% 267.19/208.47 | (1285) ~ (all_0_38_38 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 1285 yields:
% 267.19/208.47 | (388) ~ (all_0_38_38 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Equations (1065) can reduce 586 to:
% 267.19/208.47 | (389) ~ (e4 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 389 yields:
% 267.19/208.47 | (287) ~ (e4 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Equations (1065) can reduce 756 to:
% 267.19/208.47 | (393) ~ (e2 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 393 yields:
% 267.19/208.47 | (347) ~ (e2 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Equations (1065) can reduce 1593 to:
% 267.19/208.47 | (395) ~ (e1 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 395 yields:
% 267.19/208.47 | (37) ~ (e1 = e0)
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (185), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1153) all_0_18_18 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (1153,887) yields a new equation:
% 267.19/208.47 | (490) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (490) can reduce 287 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1156) ~ (all_0_18_18 = e0)
% 267.19/208.47 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1157), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (851) all_0_23_23 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (851,1126) yields a new equation:
% 267.19/208.47 | (551) e2 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (551) can reduce 347 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1068) ~ (all_0_23_23 = e0)
% 267.19/208.47 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1228), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1044) all_0_28_28 = e0
% 267.19/208.47 |
% 267.19/208.47 | From (1044) and (3302) follows:
% 267.19/208.47 | (3980) op(e0, e4) = e1
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (3304), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (3981) ~ (op(e0, e4) = e1)
% 267.19/208.47 |
% 267.19/208.47 | Using (3980) and (3981) yields:
% 267.19/208.47 | (821) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (3980) op(e0, e4) = e1
% 267.19/208.47 | (1196) all_0_35_35 = e1
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (797,1196) yields a new equation:
% 267.19/208.47 | (717) e2 = e1
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 717 yields:
% 267.19/208.47 | (718) e2 = e1
% 267.19/208.47 |
% 267.19/208.47 | Equations (718) can reduce 329 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (886) ~ (all_0_28_28 = e0)
% 267.19/208.47 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1253), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1254) all_0_33_33 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (418,1254) yields a new equation:
% 267.19/208.47 | (960) e1 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 960 yields:
% 267.19/208.47 | (961) e1 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (961) can reduce 37 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (399) ~ (all_0_33_33 = e0)
% 267.19/208.47 | (1214) all_0_38_38 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (1214) can reduce 388 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1099) ~ (all_0_31_31 = e2)
% 267.19/208.47 | (801) all_0_36_36 = e2
% 267.19/208.47 |
% 267.19/208.47 | Equations (801) can reduce 756 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (898) ~ (all_0_29_29 = e3)
% 267.19/208.47 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (241), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1921) all_0_25_25 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (950,1921) yields a new equation:
% 267.19/208.47 | (960) e1 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 960 yields:
% 267.19/208.47 | (961) e1 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (961) can reduce 37 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1925) ~ (all_0_25_25 = e0)
% 267.19/208.47 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1926), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (883) all_0_26_26 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (1237,883) yields a new equation:
% 267.19/208.47 | (842) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 842 yields:
% 267.19/208.47 | (490) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (490) can reduce 287 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1058) ~ (all_0_26_26 = e0)
% 267.19/208.47 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (1237) can reduce 1058 to:
% 267.19/208.47 | (287) ~ (e4 = e0)
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (2383), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (751) all_0_31_31 = e2
% 267.19/208.47 |
% 267.19/208.47 | Equations (751) can reduce 1064 to:
% 267.19/208.47 | (347) ~ (e2 = e0)
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (876), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (529) all_0_21_21 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (529,453) yields a new equation:
% 267.19/208.47 | (980) e3 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (980) can reduce 88 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (398) ~ (all_0_21_21 = e0)
% 267.19/208.47 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (882), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (883) all_0_26_26 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (1237,883) yields a new equation:
% 267.19/208.47 | (842) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 842 yields:
% 267.19/208.47 | (490) e4 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (490) can reduce 287 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1058) ~ (all_0_26_26 = e0)
% 267.19/208.47 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1059), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1060) all_0_31_31 = e0
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (751,1060) yields a new equation:
% 267.19/208.47 | (836) e2 = e0
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 836 yields:
% 267.19/208.47 | (551) e2 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (551) can reduce 347 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1064) ~ (all_0_31_31 = e0)
% 267.19/208.47 | (1065) all_0_36_36 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (1065) can reduce 516 to:
% 267.19/208.47 | (391) ~ (e3 = e0)
% 267.19/208.47 |
% 267.19/208.47 | Simplifying 391 yields:
% 267.19/208.47 | (88) ~ (e3 = e0)
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (964), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1023) all_0_29_29 = e3
% 267.19/208.47 |
% 267.19/208.47 | Equations (1023) can reduce 898 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (898) ~ (all_0_29_29 = e3)
% 267.19/208.47 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 267.19/208.47 |
% 267.19/208.47 +-Applying beta-rule and splitting (1026), into two cases.
% 267.19/208.47 |-Branch one:
% 267.19/208.47 | (1027) all_0_34_34 = e3
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (1717,1027) yields a new equation:
% 267.19/208.47 | (980) e3 = e0
% 267.19/208.47 |
% 267.19/208.47 | Equations (980) can reduce 88 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.47 |-Branch two:
% 267.19/208.47 | (1031) ~ (all_0_34_34 = e3)
% 267.19/208.47 | (369) all_0_39_39 = e3
% 267.19/208.47 |
% 267.19/208.47 | Combining equations (369,365) yields a new equation:
% 267.19/208.47 | (691) e4 = e3
% 267.19/208.47 |
% 267.19/208.47 | Equations (691) can reduce 277 to:
% 267.19/208.47 | (366) $false
% 267.19/208.47 |
% 267.19/208.47 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (1099) ~ (all_0_31_31 = e2)
% 267.19/208.48 | (801) all_0_36_36 = e2
% 267.19/208.48 |
% 267.19/208.48 | Equations (801) can reduce 756 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (2562) ~ (all_0_37_37 = e1)
% 267.19/208.48 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (17), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (1498) all_0_17_17 = e1
% 267.19/208.48 |
% 267.19/208.48 | Combining equations (1970,1498) yields a new equation:
% 267.19/208.48 | (933) e3 = e1
% 267.19/208.48 |
% 267.19/208.48 | Simplifying 933 yields:
% 267.19/208.48 | (706) e3 = e1
% 267.19/208.48 |
% 267.19/208.48 | Equations (706) can reduce 318 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (1501) ~ (all_0_17_17 = e1)
% 267.19/208.48 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (1502), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (999) all_0_22_22 = e1
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (24663), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (25440) ~ (op(e4, all_0_22_22) = e4)
% 267.19/208.48 |
% 267.19/208.48 | From (999) and (25440) follows:
% 267.19/208.48 | (4863) ~ (op(e4, e1) = e4)
% 267.19/208.48 |
% 267.19/208.48 | Using (1807) and (4863) yields:
% 267.19/208.48 | (821) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (25443) op(e4, all_0_22_22) = e4
% 267.19/208.48 | (691) e4 = e3
% 267.19/208.48 |
% 267.19/208.48 | Equations (691) can reduce 277 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (1018) ~ (all_0_22_22 = e1)
% 267.19/208.48 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (308), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (1175) all_0_20_20 = e1
% 267.19/208.48 |
% 267.19/208.48 | Combining equations (1175,1453) yields a new equation:
% 267.19/208.48 | (480) e4 = e1
% 267.19/208.48 |
% 267.19/208.48 | Equations (480) can reduce 65 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (1409) ~ (all_0_20_20 = e1)
% 267.19/208.48 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.19/208.48 |
% 267.19/208.48 | Equations (1453) can reduce 1409 to:
% 267.19/208.48 | (65) ~ (e4 = e1)
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (1566), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (543) all_0_27_27 = e1
% 267.19/208.48 |
% 267.19/208.48 | Combining equations (443,543) yields a new equation:
% 267.19/208.48 | (717) e2 = e1
% 267.19/208.48 |
% 267.19/208.48 | Simplifying 717 yields:
% 267.19/208.48 | (718) e2 = e1
% 267.19/208.48 |
% 267.19/208.48 | Equations (718) can reduce 329 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (402) ~ (all_0_27_27 = e1)
% 267.19/208.48 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (1586), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (1587) all_0_32_32 = e1
% 267.19/208.48 |
% 267.19/208.48 | Combining equations (1587,1229) yields a new equation:
% 267.19/208.48 | (480) e4 = e1
% 267.19/208.48 |
% 267.19/208.48 | Equations (480) can reduce 65 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (424) ~ (all_0_32_32 = e1)
% 267.19/208.48 | (1590) all_0_37_37 = e1
% 267.19/208.48 |
% 267.19/208.48 | Equations (1590) can reduce 2562 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (946) ~ (all_0_25_25 = e1)
% 267.19/208.48 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (1676), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (787) all_0_30_30 = e1
% 267.19/208.48 |
% 267.19/208.48 | Combining equations (759,787) yields a new equation:
% 267.19/208.48 | (933) e3 = e1
% 267.19/208.48 |
% 267.19/208.48 | Simplifying 933 yields:
% 267.19/208.48 | (706) e3 = e1
% 267.19/208.48 |
% 267.19/208.48 | Equations (706) can reduce 318 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (422) ~ (all_0_30_30 = e1)
% 267.19/208.48 | (1196) all_0_35_35 = e1
% 267.19/208.48 |
% 267.19/208.48 | Combining equations (797,1196) yields a new equation:
% 267.19/208.48 | (717) e2 = e1
% 267.19/208.48 |
% 267.19/208.48 | Simplifying 717 yields:
% 267.19/208.48 | (718) e2 = e1
% 267.19/208.48 |
% 267.19/208.48 | Equations (718) can reduce 329 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (810) ~ (all_0_23_23 = e2)
% 267.19/208.48 | (1393) all_0_24_24 = e2
% 267.19/208.48 |
% 267.19/208.48 | Equations (1393) can reduce 668 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (558) ~ (all_0_17_17 = e3)
% 267.19/208.48 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (232), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (1970) all_0_17_17 = e3
% 267.19/208.48 |
% 267.19/208.48 | Equations (1970) can reduce 558 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (558) ~ (all_0_17_17 = e3)
% 267.19/208.48 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (7699), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (1970) all_0_17_17 = e3
% 267.19/208.48 |
% 267.19/208.48 | Equations (1970) can reduce 558 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (558) ~ (all_0_17_17 = e3)
% 267.19/208.48 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (1125), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (1126) all_0_23_23 = e2
% 267.19/208.48 |
% 267.19/208.48 | Equations (1126) can reduce 982 to:
% 267.19/208.48 | (658) ~ (e3 = e2)
% 267.19/208.48 |
% 267.19/208.48 | Simplifying 658 yields:
% 267.19/208.48 | (56) ~ (e3 = e2)
% 267.19/208.48 |
% 267.19/208.48 +-Applying beta-rule and splitting (230), into two cases.
% 267.19/208.48 |-Branch one:
% 267.19/208.48 | (927) all_0_19_19 = e3
% 267.19/208.48 |
% 267.19/208.48 | Combining equations (663,927) yields a new equation:
% 267.19/208.48 | (764) e3 = e2
% 267.19/208.48 |
% 267.19/208.48 | Equations (764) can reduce 56 to:
% 267.19/208.48 | (366) $false
% 267.19/208.48 |
% 267.19/208.48 |-The branch is then unsatisfiable
% 267.19/208.48 |-Branch two:
% 267.19/208.48 | (562) ~ (all_0_19_19 = e3)
% 267.19/208.48 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 267.19/208.48 |
% 267.19/208.49 | Equations (663) can reduce 562 to:
% 267.19/208.49 | (658) ~ (e3 = e2)
% 267.19/208.49 |
% 267.19/208.49 | Simplifying 658 yields:
% 267.19/208.49 | (56) ~ (e3 = e2)
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (7722), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (1134) all_0_18_18 = e3
% 267.19/208.49 |
% 267.19/208.49 | Combining equations (887,1134) yields a new equation:
% 267.19/208.49 | (690) e4 = e3
% 267.19/208.49 |
% 267.19/208.49 | Simplifying 690 yields:
% 267.19/208.49 | (691) e4 = e3
% 267.19/208.49 |
% 267.19/208.49 | Equations (691) can reduce 277 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (560) ~ (all_0_18_18 = e3)
% 267.19/208.49 | (927) all_0_19_19 = e3
% 267.19/208.49 |
% 267.19/208.49 | Combining equations (663,927) yields a new equation:
% 267.19/208.49 | (764) e3 = e2
% 267.19/208.49 |
% 267.19/208.49 | Equations (764) can reduce 56 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (810) ~ (all_0_23_23 = e2)
% 267.19/208.49 | (1393) all_0_24_24 = e2
% 267.19/208.49 |
% 267.19/208.49 | Equations (1393) can reduce 668 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (568) ~ (all_0_30_30 = e3)
% 267.19/208.49 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (239), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (768) all_0_30_30 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (768) can reduce 509 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (509) ~ (all_0_30_30 = e4)
% 267.19/208.49 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (771), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (759) all_0_30_30 = e3
% 267.19/208.49 |
% 267.19/208.49 | Equations (759) can reduce 568 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (568) ~ (all_0_30_30 = e3)
% 267.19/208.49 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (782), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (747) all_0_30_30 = e2
% 267.19/208.49 |
% 267.19/208.49 | From (747) and (1426) follows:
% 267.19/208.49 | (3199) op(e2, e4) = e4
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (2805), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (3200) ~ (op(e2, e4) = e4)
% 267.19/208.49 |
% 267.19/208.49 | Using (3199) and (3200) yields:
% 267.19/208.49 | (821) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (3199) op(e2, e4) = e4
% 267.19/208.49 | (1158) all_0_25_25 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (1158) can reduce 501 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (740) ~ (all_0_30_30 = e2)
% 267.19/208.49 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (786), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (787) all_0_30_30 = e1
% 267.19/208.49 |
% 267.19/208.49 | Equations (787) can reduce 422 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (422) ~ (all_0_30_30 = e1)
% 267.19/208.49 | (790) all_0_30_30 = e0
% 267.19/208.49 |
% 267.19/208.49 | Equations (790) can reduce 1878 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (727) ~ (all_0_32_32 = e4)
% 267.19/208.49 | (1232) all_0_37_37 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (1232) can reduce 2658 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (582) ~ (all_0_26_26 = e4)
% 267.19/208.49 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (6243), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (449) all_0_21_21 = e4
% 267.19/208.49 |
% 267.19/208.49 | Combining equations (453,449) yields a new equation:
% 267.19/208.49 | (691) e4 = e3
% 267.19/208.49 |
% 267.19/208.49 | Equations (691) can reduce 277 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (448) ~ (all_0_21_21 = e4)
% 267.19/208.49 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (1222), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (1229) all_0_32_32 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (1229) can reduce 247 to:
% 267.19/208.49 | (584) ~ (all_0_31_31 = e4)
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (6248), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (1237) all_0_26_26 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (1237) can reduce 582 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (582) ~ (all_0_26_26 = e4)
% 267.19/208.49 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (6263), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (1446) all_0_31_31 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (1446) can reduce 584 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (584) ~ (all_0_31_31 = e4)
% 267.19/208.49 | (2611) all_0_36_36 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (2611) can reduce 586 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (727) ~ (all_0_32_32 = e4)
% 267.19/208.49 | (1232) all_0_37_37 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (1232) can reduce 2658 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (496) ~ (all_0_20_20 = e4)
% 267.19/208.49 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (7219), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (449) all_0_21_21 = e4
% 267.19/208.49 |
% 267.19/208.49 | Combining equations (453,449) yields a new equation:
% 267.19/208.49 | (691) e4 = e3
% 267.19/208.49 |
% 267.19/208.49 | Equations (691) can reduce 277 to:
% 267.19/208.49 | (366) $false
% 267.19/208.49 |
% 267.19/208.49 |-The branch is then unsatisfiable
% 267.19/208.49 |-Branch two:
% 267.19/208.49 | (448) ~ (all_0_21_21 = e4)
% 267.19/208.49 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 267.19/208.49 |
% 267.19/208.49 +-Applying beta-rule and splitting (7224), into two cases.
% 267.19/208.49 |-Branch one:
% 267.19/208.49 | (831) all_0_22_22 = e4
% 267.19/208.49 |
% 267.19/208.49 | Equations (831) can reduce 184 to:
% 267.19/208.49 | (869) ~ (all_0_17_17 = e4)
% 267.19/208.49 |
% 267.19/208.49 | Equations (831) can reduce 211 to:
% 267.19/208.49 | (496) ~ (all_0_20_20 = e4)
% 267.19/208.49 |
% 267.19/208.49 | Equations (831) can reduce 63 to:
% 267.19/208.49 | (1495) ~ (all_0_32_32 = e4)
% 267.19/208.49 |
% 267.19/208.49 | Simplifying 1495 yields:
% 267.19/208.49 | (727) ~ (all_0_32_32 = e4)
% 267.19/208.49 |
% 267.19/208.49 | Equations (831) can reduce 774 to:
% 267.19/208.49 | (277) ~ (e4 = e3)
% 267.19/208.49 |
% 267.19/208.49 | Equations (831) can reduce 493 to:
% 267.19/208.49 | (19) ~ (e4 = e2)
% 267.19/208.49 |
% 267.19/208.49 | From (831) and (234) follows:
% 267.19/208.49 | (7529) op(e4, all_0_26_26) = e2
% 267.19/208.49 |
% 267.19/208.49 | From (831) and (147) follows:
% 267.19/208.49 | (25574) op(all_0_26_26, e4) = e3
% 267.19/208.49 |
% 267.19/208.49 | Instantiating formula (97) with e1, e4, e3, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 267.19/208.49 | (8032) all_0_30_30 = e3 | ~ (op(e1, e4) = e3)
% 267.19/208.49 |
% 267.19/208.49 | Instantiating formula (97) with e4, e4, e2, e0 and discharging atoms op(e4, e4) = e0, yields:
% 267.19/208.50 | (25576) e2 = e0 | ~ (op(e4, e4) = e2)
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (308), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1175) all_0_20_20 = e1
% 267.19/208.50 |
% 267.19/208.50 | Equations (1175) can reduce 95 to:
% 267.19/208.50 | (4378) ~ (all_0_25_25 = e1)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 4378 yields:
% 267.19/208.50 | (946) ~ (all_0_25_25 = e1)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1175) can reduce 249 to:
% 267.19/208.50 | (1176) ~ (all_0_35_35 = e1)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 1176 yields:
% 267.19/208.50 | (1177) ~ (all_0_35_35 = e1)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1175) can reduce 496 to:
% 267.19/208.50 | (477) ~ (e4 = e1)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 477 yields:
% 267.19/208.50 | (65) ~ (e4 = e1)
% 267.19/208.50 |
% 267.19/208.50 | From (1175) and (40) follows:
% 267.19/208.50 | (25584) op(e1, all_0_16_16) = e4
% 267.19/208.50 |
% 267.19/208.50 | Instantiating formula (97) with e1, e2, e4, all_0_32_32 and discharging atoms op(e1, e2) = all_0_32_32, yields:
% 267.19/208.50 | (683) all_0_32_32 = e4 | ~ (op(e1, e2) = e4)
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (51), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (736) all_0_20_20 = e2
% 267.19/208.50 |
% 267.19/208.50 | Combining equations (736,1175) yields a new equation:
% 267.19/208.50 | (717) e2 = e1
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 717 yields:
% 267.19/208.50 | (718) e2 = e1
% 267.19/208.50 |
% 267.19/208.50 | Equations (718) can reduce 329 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (1114) ~ (all_0_20_20 = e2)
% 267.19/208.50 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.19/208.50 |
% 267.19/208.50 | Equations (1175) can reduce 1114 to:
% 267.19/208.50 | (1002) ~ (e2 = e1)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 1002 yields:
% 267.19/208.50 | (329) ~ (e2 = e1)
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (16), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1196) all_0_35_35 = e1
% 267.19/208.50 |
% 267.19/208.50 | Equations (1196) can reduce 1177 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (1177) ~ (all_0_35_35 = e1)
% 267.19/208.50 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (285), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1158) all_0_25_25 = e4
% 267.19/208.50 |
% 267.19/208.50 | Equations (1158) can reduce 58 to:
% 267.19/208.50 | (3310) ~ (all_0_30_30 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 3310 yields:
% 267.19/208.50 | (509) ~ (all_0_30_30 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1158) can reduce 98 to:
% 267.19/208.50 | (1159) ~ (all_0_35_35 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 1159 yields:
% 267.19/208.50 | (514) ~ (all_0_35_35 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1158) can reduce 646 to:
% 267.19/208.50 | (19) ~ (e4 = e2)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1158) can reduce 946 to:
% 267.19/208.50 | (65) ~ (e4 = e1)
% 267.19/208.50 |
% 267.19/208.50 | From (1158) and (49) follows:
% 267.19/208.50 | (1820) op(e4, all_0_17_17) = e4
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (327), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (768) all_0_30_30 = e4
% 267.19/208.50 |
% 267.19/208.50 | Equations (768) can reduce 509 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (509) ~ (all_0_30_30 = e4)
% 267.19/208.50 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (1437), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1446) all_0_31_31 = e4
% 267.19/208.50 |
% 267.19/208.50 | Equations (1446) can reduce 10 to:
% 267.19/208.50 | (573) ~ (all_0_16_16 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1446) can reduce 145 to:
% 267.19/208.50 | (582) ~ (all_0_26_26 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1446) can reduce 247 to:
% 267.19/208.50 | (1495) ~ (all_0_32_32 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 1495 yields:
% 267.19/208.50 | (727) ~ (all_0_32_32 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1446) can reduce 7 to:
% 267.19/208.50 | (585) ~ (all_0_36_36 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 585 yields:
% 267.19/208.50 | (586) ~ (all_0_36_36 = e4)
% 267.19/208.50 |
% 267.19/208.50 | Equations (1446) can reduce 510 to:
% 267.19/208.50 | (277) ~ (e4 = e3)
% 267.19/208.50 |
% 267.19/208.50 | Instantiating formula (97) with e4, e3, e4, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 267.19/208.50 | (25618) all_0_16_16 = e4 | ~ (op(e4, e3) = e4)
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (168), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (2438) all_0_25_25 = e3
% 267.19/208.50 |
% 267.19/208.50 | Combining equations (1158,2438) yields a new equation:
% 267.19/208.50 | (690) e4 = e3
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 690 yields:
% 267.19/208.50 | (691) e4 = e3
% 267.19/208.50 |
% 267.19/208.50 | Equations (691) can reduce 277 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (566) ~ (all_0_25_25 = e3)
% 267.19/208.50 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.19/208.50 |
% 267.19/208.50 | Equations (1158) can reduce 566 to:
% 267.19/208.50 | (277) ~ (e4 = e3)
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (269), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1134) all_0_18_18 = e3
% 267.19/208.50 |
% 267.19/208.50 | Combining equations (1134,887) yields a new equation:
% 267.19/208.50 | (691) e4 = e3
% 267.19/208.50 |
% 267.19/208.50 | Equations (691) can reduce 277 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (560) ~ (all_0_18_18 = e3)
% 267.19/208.50 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.19/208.50 |
% 267.19/208.50 | Equations (887) can reduce 560 to:
% 267.19/208.50 | (277) ~ (e4 = e3)
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (279), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (873) all_0_16_16 = e0
% 267.19/208.50 |
% 267.19/208.50 | Equations (873) can reduce 824 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (824) ~ (all_0_16_16 = e0)
% 267.19/208.50 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (240), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (865) all_0_17_17 = e4
% 267.19/208.50 |
% 267.19/208.50 | Equations (865) can reduce 869 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (869) ~ (all_0_17_17 = e4)
% 267.19/208.50 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (1961), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1970) all_0_17_17 = e3
% 267.19/208.50 |
% 267.19/208.50 | From (1970) and (1820) follows:
% 267.19/208.50 | (9409) op(e4, e3) = e4
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (25618), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (9410) ~ (op(e4, e3) = e4)
% 267.19/208.50 |
% 267.19/208.50 | Using (9409) and (9410) yields:
% 267.19/208.50 | (821) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (9409) op(e4, e3) = e4
% 267.19/208.50 | (701) all_0_16_16 = e4
% 267.19/208.50 |
% 267.19/208.50 | Equations (701) can reduce 573 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (558) ~ (all_0_17_17 = e3)
% 267.19/208.50 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (72), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (468) all_0_15_15 = e3
% 267.19/208.50 |
% 267.19/208.50 | Combining equations (468,483) yields a new equation:
% 267.19/208.50 | (979) e3 = e0
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 979 yields:
% 267.19/208.50 | (980) e3 = e0
% 267.19/208.50 |
% 267.19/208.50 | Equations (980) can reduce 88 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (433) ~ (all_0_15_15 = e3)
% 267.19/208.50 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (7544), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1287) all_0_16_16 = e3
% 267.19/208.50 |
% 267.19/208.50 | Equations (1287) can reduce 458 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (458) ~ (all_0_16_16 = e3)
% 267.19/208.50 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (7699), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1970) all_0_17_17 = e3
% 267.19/208.50 |
% 267.19/208.50 | Equations (1970) can reduce 558 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (558) ~ (all_0_17_17 = e3)
% 267.19/208.50 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (7722), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1134) all_0_18_18 = e3
% 267.19/208.50 |
% 267.19/208.50 | Combining equations (1134,887) yields a new equation:
% 267.19/208.50 | (691) e4 = e3
% 267.19/208.50 |
% 267.19/208.50 | Equations (691) can reduce 277 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (560) ~ (all_0_18_18 = e3)
% 267.19/208.50 | (927) all_0_19_19 = e3
% 267.19/208.50 |
% 267.19/208.50 | Equations (927) can reduce 333 to:
% 267.19/208.50 | (558) ~ (all_0_17_17 = e3)
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (114), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (472) all_0_15_15 = e2
% 267.19/208.50 |
% 267.19/208.50 | Combining equations (472,483) yields a new equation:
% 267.19/208.50 | (836) e2 = e0
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 836 yields:
% 267.19/208.50 | (551) e2 = e0
% 267.19/208.50 |
% 267.19/208.50 | Equations (551) can reduce 347 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (447) ~ (all_0_15_15 = e2)
% 267.19/208.50 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.19/208.50 |
% 267.19/208.50 | Equations (483) can reduce 447 to:
% 267.19/208.50 | (393) ~ (e2 = e0)
% 267.19/208.50 |
% 267.19/208.50 | Simplifying 393 yields:
% 267.19/208.50 | (347) ~ (e2 = e0)
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (2791), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (697) all_0_16_16 = e2
% 267.19/208.50 |
% 267.19/208.50 | From (697) and (25584) follows:
% 267.19/208.50 | (1552) op(e1, e2) = e4
% 267.19/208.50 |
% 267.19/208.50 +-Applying beta-rule and splitting (683), into two cases.
% 267.19/208.50 |-Branch one:
% 267.19/208.50 | (1553) ~ (op(e1, e2) = e4)
% 267.19/208.50 |
% 267.19/208.50 | Using (1552) and (1553) yields:
% 267.19/208.50 | (821) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (1552) op(e1, e2) = e4
% 267.19/208.50 | (1229) all_0_32_32 = e4
% 267.19/208.50 |
% 267.19/208.50 | Equations (1229) can reduce 727 to:
% 267.19/208.50 | (366) $false
% 267.19/208.50 |
% 267.19/208.50 |-The branch is then unsatisfiable
% 267.19/208.50 |-Branch two:
% 267.19/208.50 | (664) ~ (all_0_16_16 = e2)
% 267.19/208.51 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.19/208.51 |
% 267.19/208.51 +-Applying beta-rule and splitting (340), into two cases.
% 267.19/208.51 |-Branch one:
% 267.19/208.51 | (697) all_0_16_16 = e2
% 267.19/208.51 |
% 267.19/208.51 | Equations (697) can reduce 664 to:
% 267.19/208.51 | (366) $false
% 267.19/208.51 |
% 267.19/208.51 |-The branch is then unsatisfiable
% 267.19/208.51 |-Branch two:
% 267.19/208.51 | (664) ~ (all_0_16_16 = e2)
% 267.19/208.51 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.19/208.51 |
% 267.19/208.51 +-Applying beta-rule and splitting (700), into two cases.
% 267.19/208.51 |-Branch one:
% 267.19/208.51 | (522) all_0_21_21 = e2
% 267.19/208.51 |
% 267.19/208.51 | Combining equations (453,522) yields a new equation:
% 267.19/208.51 | (3874) e3 = e2
% 267.19/208.51 |
% 267.19/208.51 | Simplifying 3874 yields:
% 267.19/208.51 | (764) e3 = e2
% 267.19/208.51 |
% 267.19/208.51 | Equations (764) can reduce 56 to:
% 267.19/208.51 | (366) $false
% 267.19/208.51 |
% 267.19/208.51 |-The branch is then unsatisfiable
% 267.19/208.51 |-Branch two:
% 267.19/208.51 | (361) ~ (all_0_21_21 = e2)
% 267.19/208.51 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.19/208.51 |
% 267.19/208.51 +-Applying beta-rule and splitting (2289), into two cases.
% 267.19/208.51 |-Branch one:
% 267.19/208.51 | (2380) all_0_26_26 = e2
% 267.19/208.51 |
% 267.19/208.51 | Equations (2380) can reduce 647 to:
% 267.19/208.51 | (366) $false
% 267.19/208.51 |
% 267.19/208.51 |-The branch is then unsatisfiable
% 267.19/208.51 |-Branch two:
% 267.19/208.51 | (647) ~ (all_0_26_26 = e2)
% 267.19/208.51 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 267.19/208.51 |
% 267.19/208.51 +-Applying beta-rule and splitting (2383), into two cases.
% 267.19/208.51 |-Branch one:
% 267.19/208.51 | (751) all_0_31_31 = e2
% 267.19/208.51 |
% 267.19/208.51 | Combining equations (1446,751) yields a new equation:
% 267.19/208.51 | (1111) e4 = e2
% 267.19/208.51 |
% 267.19/208.51 | Simplifying 1111 yields:
% 267.19/208.51 | (539) e4 = e2
% 267.19/208.51 |
% 267.19/208.51 | Equations (539) can reduce 19 to:
% 267.19/208.51 | (366) $false
% 267.19/208.51 |
% 267.19/208.51 |-The branch is then unsatisfiable
% 267.19/208.51 |-Branch two:
% 267.19/208.51 | (1099) ~ (all_0_31_31 = e2)
% 267.19/208.51 | (801) all_0_36_36 = e2
% 267.19/208.51 |
% 267.19/208.51 | Equations (801) can reduce 170 to:
% 267.19/208.51 | (647) ~ (all_0_26_26 = e2)
% 267.19/208.51 |
% 267.19/208.51 | Equations (801) can reduce 273 to:
% 267.19/208.51 | (742) ~ (all_0_35_35 = e2)
% 267.19/208.51 |
% 267.19/208.51 | Equations (801) can reduce 93 to:
% 267.19/208.51 | (1130) ~ (all_0_38_38 = e2)
% 267.19/208.51 |
% 267.19/208.51 | Simplifying 1130 yields:
% 267.19/208.51 | (1084) ~ (all_0_38_38 = e2)
% 267.19/208.51 |
% 267.19/208.51 | Equations (801) can reduce 586 to:
% 267.19/208.51 | (444) ~ (e4 = e2)
% 267.19/208.51 |
% 267.19/208.51 | Simplifying 444 yields:
% 267.19/208.51 | (19) ~ (e4 = e2)
% 267.19/208.51 |
% 267.19/208.51 +-Applying beta-rule and splitting (309), into two cases.
% 267.19/208.51 |-Branch one:
% 267.19/208.51 | (1274) all_0_18_18 = e2
% 267.19/208.51 |
% 267.19/208.51 | Combining equations (1274,887) yields a new equation:
% 267.19/208.51 | (539) e4 = e2
% 267.19/208.51 |
% 267.19/208.51 | Equations (539) can reduce 19 to:
% 267.19/208.51 | (366) $false
% 267.19/208.51 |
% 267.19/208.51 |-The branch is then unsatisfiable
% 267.19/208.51 |-Branch two:
% 267.19/208.51 | (666) ~ (all_0_18_18 = e2)
% 267.19/208.51 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.19/208.51 |
% 267.19/208.51 | Equations (887) can reduce 666 to:
% 267.19/208.51 | (19) ~ (e4 = e2)
% 267.19/208.51 |
% 267.19/208.51 +-Applying beta-rule and splitting (122), into two cases.
% 267.19/208.51 |-Branch one:
% 267.19/208.51 | (1161) all_0_35_35 = e4
% 267.19/208.51 |
% 267.19/208.51 | Equations (1161) can reduce 514 to:
% 267.19/208.51 | (366) $false
% 267.19/208.51 |
% 267.19/208.51 |-The branch is then unsatisfiable
% 267.19/208.51 |-Branch two:
% 267.19/208.51 | (514) ~ (all_0_35_35 = e4)
% 267.26/208.51 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (162), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (472) all_0_15_15 = e2
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (472,483) yields a new equation:
% 267.26/208.51 | (836) e2 = e0
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 836 yields:
% 267.26/208.51 | (551) e2 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (551) can reduce 347 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (447) ~ (all_0_15_15 = e2)
% 267.26/208.51 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (1181), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (814) all_0_35_35 = e3
% 267.26/208.51 |
% 267.26/208.51 | Equations (814) can reduce 96 to:
% 267.26/208.51 | (568) ~ (all_0_30_30 = e3)
% 267.26/208.51 |
% 267.26/208.51 | Equations (814) can reduce 121 to:
% 267.26/208.51 | (776) ~ (all_0_37_37 = e3)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 776 yields:
% 267.26/208.51 | (777) ~ (all_0_37_37 = e3)
% 267.26/208.51 |
% 267.26/208.51 | Equations (814) can reduce 173 to:
% 267.26/208.51 | (2070) ~ (all_0_38_38 = e3)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 2070 yields:
% 267.26/208.51 | (1080) ~ (all_0_38_38 = e3)
% 267.26/208.51 |
% 267.26/208.51 | Equations (814) can reduce 514 to:
% 267.26/208.51 | (695) ~ (e4 = e3)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 695 yields:
% 267.26/208.51 | (277) ~ (e4 = e3)
% 267.26/208.51 |
% 267.26/208.51 | Equations (814) can reduce 742 to:
% 267.26/208.51 | (56) ~ (e3 = e2)
% 267.26/208.51 |
% 267.26/208.51 | Equations (814) can reduce 385 to:
% 267.26/208.51 | (88) ~ (e3 = e0)
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (2921), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (736) all_0_20_20 = e2
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (1175,736) yields a new equation:
% 267.26/208.51 | (718) e2 = e1
% 267.26/208.51 |
% 267.26/208.51 | Equations (718) can reduce 329 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (1114) ~ (all_0_20_20 = e2)
% 267.26/208.51 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (10030), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (3159) all_0_25_25 = e2
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (1158,3159) yields a new equation:
% 267.26/208.51 | (1111) e4 = e2
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 1111 yields:
% 267.26/208.51 | (539) e4 = e2
% 267.26/208.51 |
% 267.26/208.51 | Equations (539) can reduce 19 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (646) ~ (all_0_25_25 = e2)
% 267.26/208.51 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (16274), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (747) all_0_30_30 = e2
% 267.26/208.51 |
% 267.26/208.51 | Equations (747) can reduce 568 to:
% 267.26/208.51 | (658) ~ (e3 = e2)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 658 yields:
% 267.26/208.51 | (56) ~ (e3 = e2)
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (876), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (529) all_0_21_21 = e0
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (453,529) yields a new equation:
% 267.26/208.51 | (979) e3 = e0
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 979 yields:
% 267.26/208.51 | (980) e3 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (980) can reduce 88 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (398) ~ (all_0_21_21 = e0)
% 267.26/208.51 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (155), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (759) all_0_30_30 = e3
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (759,747) yields a new equation:
% 267.26/208.51 | (3874) e3 = e2
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 3874 yields:
% 267.26/208.51 | (764) e3 = e2
% 267.26/208.51 |
% 267.26/208.51 | Equations (764) can reduce 56 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (568) ~ (all_0_30_30 = e3)
% 267.26/208.51 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.26/208.51 |
% 267.26/208.51 | Equations (747) can reduce 568 to:
% 267.26/208.51 | (658) ~ (e3 = e2)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 658 yields:
% 267.26/208.51 | (56) ~ (e3 = e2)
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (232), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (1970) all_0_17_17 = e3
% 267.26/208.51 |
% 267.26/208.51 | Equations (1970) can reduce 558 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (558) ~ (all_0_17_17 = e3)
% 267.26/208.51 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (1973), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (857) all_0_22_22 = e3
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (831,857) yields a new equation:
% 267.26/208.51 | (690) e4 = e3
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 690 yields:
% 267.26/208.51 | (691) e4 = e3
% 267.26/208.51 |
% 267.26/208.51 | Equations (691) can reduce 277 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (774) ~ (all_0_22_22 = e3)
% 267.26/208.51 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (3115), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (439) all_0_27_27 = e3
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (443,439) yields a new equation:
% 267.26/208.51 | (764) e3 = e2
% 267.26/208.51 |
% 267.26/208.51 | Equations (764) can reduce 56 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (400) ~ (all_0_27_27 = e3)
% 267.26/208.51 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (3120), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (772) all_0_32_32 = e3
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (358), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (1165) all_0_38_38 = e4
% 267.26/208.51 |
% 267.26/208.51 | Equations (1165) can reduce 1143 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (1143) ~ (all_0_38_38 = e4)
% 267.26/208.51 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (1168), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (1077) all_0_38_38 = e3
% 267.26/208.51 |
% 267.26/208.51 | Equations (1077) can reduce 1080 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (1080) ~ (all_0_38_38 = e3)
% 267.26/208.51 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (1206), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (809) all_0_38_38 = e2
% 267.26/208.51 |
% 267.26/208.51 | Equations (809) can reduce 1084 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (1084) ~ (all_0_38_38 = e2)
% 267.26/208.51 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (222), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (823) all_0_17_17 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (823) can reduce 2422 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (2422) ~ (all_0_17_17 = e0)
% 267.26/208.51 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (182), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (1237) all_0_26_26 = e4
% 267.26/208.51 |
% 267.26/208.51 | Equations (1237) can reduce 582 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (582) ~ (all_0_26_26 = e4)
% 267.26/208.51 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (1210), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (1211) all_0_38_38 = e1
% 267.26/208.51 |
% 267.26/208.51 | Equations (1211) can reduce 428 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (428) ~ (all_0_38_38 = e1)
% 267.26/208.51 | (1214) all_0_38_38 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (1214) can reduce 354 to:
% 267.26/208.51 | (387) ~ (all_0_37_37 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Equations (1214) can reduce 1143 to:
% 267.26/208.51 | (389) ~ (e4 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 389 yields:
% 267.26/208.51 | (287) ~ (e4 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Equations (1214) can reduce 1084 to:
% 267.26/208.51 | (393) ~ (e2 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 393 yields:
% 267.26/208.51 | (347) ~ (e2 = e0)
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (241), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (1921) all_0_25_25 = e0
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (1921,1158) yields a new equation:
% 267.26/208.51 | (490) e4 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (490) can reduce 287 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (1925) ~ (all_0_25_25 = e0)
% 267.26/208.51 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (1158) can reduce 1925 to:
% 267.26/208.51 | (287) ~ (e4 = e0)
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (882), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (883) all_0_26_26 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (883) can reduce 582 to:
% 267.26/208.51 | (389) ~ (e4 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 389 yields:
% 267.26/208.51 | (287) ~ (e4 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Equations (883) can reduce 504 to:
% 267.26/208.51 | (391) ~ (e3 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 391 yields:
% 267.26/208.51 | (88) ~ (e3 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Equations (883) can reduce 647 to:
% 267.26/208.51 | (393) ~ (e2 = e0)
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 393 yields:
% 267.26/208.51 | (347) ~ (e2 = e0)
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (2515), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (847) all_0_22_22 = e0
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (847,831) yields a new equation:
% 267.26/208.51 | (490) e4 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (490) can reduce 287 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (826) ~ (all_0_22_22 = e0)
% 267.26/208.51 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (3101), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (546) all_0_27_27 = e0
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (443,546) yields a new equation:
% 267.26/208.51 | (836) e2 = e0
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 836 yields:
% 267.26/208.51 | (551) e2 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (551) can reduce 347 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (434) ~ (all_0_27_27 = e0)
% 267.26/208.51 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (3107), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (1626) all_0_32_32 = e0
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (1626,772) yields a new equation:
% 267.26/208.51 | (980) e3 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (980) can reduce 88 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (1946) ~ (all_0_32_32 = e0)
% 267.26/208.51 | (3111) all_0_37_37 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (3111) can reduce 387 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (1058) ~ (all_0_26_26 = e0)
% 267.26/208.51 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 267.26/208.51 |
% 267.26/208.51 +-Applying beta-rule and splitting (1059), into two cases.
% 267.26/208.51 |-Branch one:
% 267.26/208.51 | (1060) all_0_31_31 = e0
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (1446,1060) yields a new equation:
% 267.26/208.51 | (842) e4 = e0
% 267.26/208.51 |
% 267.26/208.51 | Simplifying 842 yields:
% 267.26/208.51 | (490) e4 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (490) can reduce 287 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.51 |-Branch two:
% 267.26/208.51 | (1064) ~ (all_0_31_31 = e0)
% 267.26/208.51 | (1065) all_0_36_36 = e0
% 267.26/208.51 |
% 267.26/208.51 | Combining equations (1065,801) yields a new equation:
% 267.26/208.51 | (551) e2 = e0
% 267.26/208.51 |
% 267.26/208.51 | Equations (551) can reduce 347 to:
% 267.26/208.51 | (366) $false
% 267.26/208.51 |
% 267.26/208.51 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (1089) ~ (all_0_32_32 = e3)
% 267.26/208.52 | (1073) all_0_37_37 = e3
% 267.26/208.52 |
% 267.26/208.52 | Equations (1073) can reduce 777 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (740) ~ (all_0_30_30 = e2)
% 267.26/208.52 | (797) all_0_35_35 = e2
% 267.26/208.52 |
% 267.26/208.52 | Combining equations (797,814) yields a new equation:
% 267.26/208.52 | (764) e3 = e2
% 267.26/208.52 |
% 267.26/208.52 | Equations (764) can reduce 56 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (570) ~ (all_0_35_35 = e3)
% 267.26/208.52 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1185), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (797) all_0_35_35 = e2
% 267.26/208.52 |
% 267.26/208.52 | Equations (797) can reduce 742 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (742) ~ (all_0_35_35 = e2)
% 267.26/208.52 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1195), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (1196) all_0_35_35 = e1
% 267.26/208.52 |
% 267.26/208.52 | Equations (1196) can reduce 1177 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (1177) ~ (all_0_35_35 = e1)
% 267.26/208.52 | (1203) all_0_35_35 = e0
% 267.26/208.52 |
% 267.26/208.52 | Equations (1203) can reduce 385 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (584) ~ (all_0_31_31 = e4)
% 267.26/208.52 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1449), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (1229) all_0_32_32 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (1229) can reduce 727 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (727) ~ (all_0_32_32 = e4)
% 267.26/208.52 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1476), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (406) all_0_33_33 = e4
% 267.26/208.52 |
% 267.26/208.52 | Combining equations (418,406) yields a new equation:
% 267.26/208.52 | (480) e4 = e1
% 267.26/208.52 |
% 267.26/208.52 | Equations (480) can reduce 65 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (405) ~ (all_0_33_33 = e4)
% 267.26/208.52 | (723) all_0_34_34 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (723) can reduce 1395 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (501) ~ (all_0_25_25 = e4)
% 267.26/208.52 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1217), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (1237) all_0_26_26 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (1237) can reduce 128 to:
% 267.26/208.52 | (501) ~ (all_0_25_25 = e4)
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (8), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (464) all_0_15_15 = e4
% 267.26/208.52 |
% 267.26/208.52 | Combining equations (464,483) yields a new equation:
% 267.26/208.52 | (842) e4 = e0
% 267.26/208.52 |
% 267.26/208.52 | Simplifying 842 yields:
% 267.26/208.52 | (490) e4 = e0
% 267.26/208.52 |
% 267.26/208.52 | Equations (490) can reduce 287 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (460) ~ (all_0_15_15 = e4)
% 267.26/208.52 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (327), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (768) all_0_30_30 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (768) can reduce 1878 to:
% 267.26/208.52 | (287) ~ (e4 = e0)
% 267.26/208.52 |
% 267.26/208.52 | From (768) and (1426) follows:
% 267.26/208.52 | (1430) op(e4, e4) = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (24609), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (1431) ~ (op(e4, e4) = e4)
% 267.26/208.52 |
% 267.26/208.52 | Using (1430) and (1431) yields:
% 267.26/208.52 | (821) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (1430) op(e4, e4) = e4
% 267.26/208.52 | (490) e4 = e0
% 267.26/208.52 |
% 267.26/208.52 | Equations (490) can reduce 287 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (509) ~ (all_0_30_30 = e4)
% 267.26/208.52 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (914), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (1453) all_0_20_20 = e4
% 267.26/208.52 |
% 267.26/208.52 | Combining equations (1453,1175) yields a new equation:
% 267.26/208.52 | (955) e4 = e1
% 267.26/208.52 |
% 267.26/208.52 | Simplifying 955 yields:
% 267.26/208.52 | (480) e4 = e1
% 267.26/208.52 |
% 267.26/208.52 | Equations (480) can reduce 65 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (496) ~ (all_0_20_20 = e4)
% 267.26/208.52 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1456), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (1158) all_0_25_25 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (1158) can reduce 501 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (501) ~ (all_0_25_25 = e4)
% 267.26/208.52 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1460), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (768) all_0_30_30 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (768) can reduce 509 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (509) ~ (all_0_30_30 = e4)
% 267.26/208.52 | (1161) all_0_35_35 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (1161) can reduce 514 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (582) ~ (all_0_26_26 = e4)
% 267.26/208.52 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1240), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (435) all_0_27_27 = e4
% 267.26/208.52 |
% 267.26/208.52 | Combining equations (435,443) yields a new equation:
% 267.26/208.52 | (1111) e4 = e2
% 267.26/208.52 |
% 267.26/208.52 | Simplifying 1111 yields:
% 267.26/208.52 | (539) e4 = e2
% 267.26/208.52 |
% 267.26/208.52 | Equations (539) can reduce 19 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (404) ~ (all_0_27_27 = e4)
% 267.26/208.52 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (1245), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (892) all_0_28_28 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (892) can reduce 890 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (890) ~ (all_0_28_28 = e4)
% 267.26/208.52 | (1250) all_0_29_29 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (1250) can reduce 724 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (1409) ~ (all_0_20_20 = e1)
% 267.26/208.52 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (4682), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (526) all_0_21_21 = e1
% 267.26/208.52 |
% 267.26/208.52 | Combining equations (453,526) yields a new equation:
% 267.26/208.52 | (933) e3 = e1
% 267.26/208.52 |
% 267.26/208.52 | Simplifying 933 yields:
% 267.26/208.52 | (706) e3 = e1
% 267.26/208.52 |
% 267.26/208.52 | Equations (706) can reduce 318 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (363) ~ (all_0_21_21 = e1)
% 267.26/208.52 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (4688), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (999) all_0_22_22 = e1
% 267.26/208.52 |
% 267.26/208.52 | Combining equations (831,999) yields a new equation:
% 267.26/208.52 | (955) e4 = e1
% 267.26/208.52 |
% 267.26/208.52 | Simplifying 955 yields:
% 267.26/208.52 | (480) e4 = e1
% 267.26/208.52 |
% 267.26/208.52 | Equations (480) can reduce 65 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (1018) ~ (all_0_22_22 = e1)
% 267.26/208.52 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (231), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (1453) all_0_20_20 = e4
% 267.26/208.52 |
% 267.26/208.52 | Equations (1453) can reduce 496 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (496) ~ (all_0_20_20 = e4)
% 267.26/208.52 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (5033), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (3952) all_0_23_23 = e1
% 267.26/208.52 |
% 267.26/208.52 | Equations (3952) can reduce 420 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (420) ~ (all_0_23_23 = e1)
% 267.26/208.52 | (940) all_0_24_24 = e1
% 267.26/208.52 |
% 267.26/208.52 | Equations (940) can reduce 167 to:
% 267.26/208.52 | (1409) ~ (all_0_20_20 = e1)
% 267.26/208.52 |
% 267.26/208.52 | Equations (940) can reduce 85 to:
% 267.26/208.52 | (3164) ~ (all_0_29_29 = e1)
% 267.26/208.52 |
% 267.26/208.52 | Simplifying 3164 yields:
% 267.26/208.52 | (952) ~ (all_0_29_29 = e1)
% 267.26/208.52 |
% 267.26/208.52 | Equations (940) can reduce 963 to:
% 267.26/208.52 | (429) ~ (e3 = e1)
% 267.26/208.52 |
% 267.26/208.52 | Simplifying 429 yields:
% 267.26/208.52 | (318) ~ (e3 = e1)
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (2301), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (903) all_0_20_20 = e3
% 267.26/208.52 |
% 267.26/208.52 | Equations (903) can reduce 564 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (564) ~ (all_0_20_20 = e3)
% 267.26/208.52 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (135), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (835) all_0_20_20 = e0
% 267.26/208.52 |
% 267.26/208.52 | Equations (835) can reduce 839 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (839) ~ (all_0_20_20 = e0)
% 267.26/208.52 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (840), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (529) all_0_21_21 = e0
% 267.26/208.52 |
% 267.26/208.52 | Combining equations (529,453) yields a new equation:
% 267.26/208.52 | (980) e3 = e0
% 267.26/208.52 |
% 267.26/208.52 | Equations (980) can reduce 88 to:
% 267.26/208.52 | (366) $false
% 267.26/208.52 |
% 267.26/208.52 |-The branch is then unsatisfiable
% 267.26/208.52 |-Branch two:
% 267.26/208.52 | (398) ~ (all_0_21_21 = e0)
% 267.26/208.52 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 267.26/208.52 |
% 267.26/208.52 +-Applying beta-rule and splitting (2305), into two cases.
% 267.26/208.52 |-Branch one:
% 267.26/208.52 | (736) all_0_20_20 = e2
% 267.26/208.52 |
% 267.26/208.52 | Equations (736) can reduce 272 to:
% 267.26/208.52 | (7279) ~ (all_0_23_23 = e2)
% 267.26/208.52 |
% 267.26/208.52 | Simplifying 7279 yields:
% 267.26/208.52 | (810) ~ (all_0_23_23 = e2)
% 267.26/208.52 |
% 267.26/208.53 | Equations (736) can reduce 496 to:
% 267.26/208.53 | (444) ~ (e4 = e2)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 444 yields:
% 267.26/208.53 | (19) ~ (e4 = e2)
% 267.26/208.53 |
% 267.26/208.53 | Equations (736) can reduce 564 to:
% 267.26/208.53 | (658) ~ (e3 = e2)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 658 yields:
% 267.26/208.53 | (56) ~ (e3 = e2)
% 267.26/208.53 |
% 267.26/208.53 | Equations (736) can reduce 1409 to:
% 267.26/208.53 | (329) ~ (e2 = e1)
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (309), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1274) all_0_18_18 = e2
% 267.26/208.53 |
% 267.26/208.53 | Combining equations (1274,887) yields a new equation:
% 267.26/208.53 | (539) e4 = e2
% 267.26/208.53 |
% 267.26/208.53 | Equations (539) can reduce 19 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (666) ~ (all_0_18_18 = e2)
% 267.26/208.53 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (846), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (847) all_0_22_22 = e0
% 267.26/208.53 |
% 267.26/208.53 | Combining equations (831,847) yields a new equation:
% 267.26/208.53 | (842) e4 = e0
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 842 yields:
% 267.26/208.53 | (490) e4 = e0
% 267.26/208.53 |
% 267.26/208.53 | Equations (490) can reduce 287 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (826) ~ (all_0_22_22 = e0)
% 267.26/208.53 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (1756), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1126) all_0_23_23 = e2
% 267.26/208.53 |
% 267.26/208.53 | Equations (1126) can reduce 810 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (810) ~ (all_0_23_23 = e2)
% 267.26/208.53 | (5316) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (850), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (851) all_0_23_23 = e0
% 267.26/208.53 |
% 267.26/208.53 | Equations (851) can reduce 39 to:
% 267.26/208.53 | (1285) ~ (all_0_38_38 = e0)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 1285 yields:
% 267.26/208.53 | (388) ~ (all_0_38_38 = e0)
% 267.26/208.53 |
% 267.26/208.53 | Equations (851) can reduce 982 to:
% 267.26/208.53 | (391) ~ (e3 = e0)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 391 yields:
% 267.26/208.53 | (88) ~ (e3 = e0)
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (338), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (892) all_0_28_28 = e4
% 267.26/208.53 |
% 267.26/208.53 | Equations (892) can reduce 890 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (890) ~ (all_0_28_28 = e4)
% 267.26/208.53 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (895), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (896) all_0_28_28 = e3
% 267.26/208.53 |
% 267.26/208.53 | Equations (896) can reduce 46 to:
% 267.26/208.53 | (504) ~ (all_0_26_26 = e3)
% 267.26/208.53 |
% 267.26/208.53 | Equations (896) can reduce 73 to:
% 267.26/208.53 | (897) ~ (all_0_29_29 = e3)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 897 yields:
% 267.26/208.53 | (898) ~ (all_0_29_29 = e3)
% 267.26/208.53 |
% 267.26/208.53 | Equations (896) can reduce 198 to:
% 267.26/208.53 | (2070) ~ (all_0_38_38 = e3)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 2070 yields:
% 267.26/208.53 | (1080) ~ (all_0_38_38 = e3)
% 267.26/208.53 |
% 267.26/208.53 | Equations (896) can reduce 890 to:
% 267.26/208.53 | (695) ~ (e4 = e3)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 695 yields:
% 267.26/208.53 | (277) ~ (e4 = e3)
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (357), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1250) all_0_29_29 = e4
% 267.26/208.53 |
% 267.26/208.53 | Equations (1250) can reduce 724 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (724) ~ (all_0_29_29 = e4)
% 267.26/208.53 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (358), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1165) all_0_38_38 = e4
% 267.26/208.53 |
% 267.26/208.53 | Equations (1165) can reduce 1143 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (1143) ~ (all_0_38_38 = e4)
% 267.26/208.53 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (1168), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1077) all_0_38_38 = e3
% 267.26/208.53 |
% 267.26/208.53 | Equations (1077) can reduce 1080 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (1080) ~ (all_0_38_38 = e3)
% 267.26/208.53 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (1206), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (809) all_0_38_38 = e2
% 267.26/208.53 |
% 267.26/208.53 | Equations (809) can reduce 1143 to:
% 267.26/208.53 | (444) ~ (e4 = e2)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 444 yields:
% 267.26/208.53 | (19) ~ (e4 = e2)
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (2812), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1023) all_0_29_29 = e3
% 267.26/208.53 |
% 267.26/208.53 | Equations (1023) can reduce 898 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (898) ~ (all_0_29_29 = e3)
% 267.26/208.53 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (5409), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (4103) all_0_29_29 = e2
% 267.26/208.53 |
% 267.26/208.53 | Equations (4103) can reduce 651 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (651) ~ (all_0_29_29 = e2)
% 267.26/208.53 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (5413), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (945) all_0_29_29 = e1
% 267.26/208.53 |
% 267.26/208.53 | Equations (945) can reduce 952 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (952) ~ (all_0_29_29 = e1)
% 267.26/208.53 | (2537) all_0_29_29 = e0
% 267.26/208.53 |
% 267.26/208.53 | Equations (2537) can reduce 38 to:
% 267.26/208.53 | (1058) ~ (all_0_26_26 = e0)
% 267.26/208.53 |
% 267.26/208.53 | Equations (2537) can reduce 724 to:
% 267.26/208.53 | (389) ~ (e4 = e0)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 389 yields:
% 267.26/208.53 | (287) ~ (e4 = e0)
% 267.26/208.53 |
% 267.26/208.53 | Equations (2537) can reduce 651 to:
% 267.26/208.53 | (393) ~ (e2 = e0)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 393 yields:
% 267.26/208.53 | (347) ~ (e2 = e0)
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (285), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1158) all_0_25_25 = e4
% 267.26/208.53 |
% 267.26/208.53 | Equations (1158) can reduce 128 to:
% 267.26/208.53 | (581) ~ (all_0_26_26 = e4)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 581 yields:
% 267.26/208.53 | (582) ~ (all_0_26_26 = e4)
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (182), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1237) all_0_26_26 = e4
% 267.26/208.53 |
% 267.26/208.53 | Equations (1237) can reduce 582 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (582) ~ (all_0_26_26 = e4)
% 267.26/208.53 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (5353), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (2443) all_0_26_26 = e3
% 267.26/208.53 |
% 267.26/208.53 | Equations (2443) can reduce 504 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (504) ~ (all_0_26_26 = e3)
% 267.26/208.53 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (5357), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (2380) all_0_26_26 = e2
% 267.26/208.53 |
% 267.26/208.53 | Equations (2380) can reduce 647 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (647) ~ (all_0_26_26 = e2)
% 267.26/208.53 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (5361), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1005) all_0_26_26 = e1
% 267.26/208.53 |
% 267.26/208.53 | Equations (1005) can reduce 139 to:
% 267.26/208.53 | (985) ~ (all_0_16_16 = e1)
% 267.26/208.53 |
% 267.26/208.53 | From (1005) and (25574) follows:
% 267.26/208.53 | (8116) op(e1, e4) = e3
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (8032), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (8463) ~ (op(e1, e4) = e3)
% 267.26/208.53 |
% 267.26/208.53 | Using (8116) and (8463) yields:
% 267.26/208.53 | (821) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (8116) op(e1, e4) = e3
% 267.26/208.53 | (759) all_0_30_30 = e3
% 267.26/208.53 |
% 267.26/208.53 | From (759) and (12210) follows:
% 267.26/208.53 | (2493) op(e4, e3) = e1
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (2235), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (2498) ~ (op(e4, e3) = e1)
% 267.26/208.53 |
% 267.26/208.53 | Using (2493) and (2498) yields:
% 267.26/208.53 | (821) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (2493) op(e4, e3) = e1
% 267.26/208.53 | (921) all_0_16_16 = e1
% 267.26/208.53 |
% 267.26/208.53 | Equations (921) can reduce 985 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (1008) ~ (all_0_26_26 = e1)
% 267.26/208.53 | (883) all_0_26_26 = e0
% 267.26/208.53 |
% 267.26/208.53 | Equations (883) can reduce 1058 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (501) ~ (all_0_25_25 = e4)
% 267.26/208.53 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (1217), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1237) all_0_26_26 = e4
% 267.26/208.53 |
% 267.26/208.53 | From (1237) and (7529) follows:
% 267.26/208.53 | (1335) op(e4, e4) = e2
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (25576), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (1336) ~ (op(e4, e4) = e2)
% 267.26/208.53 |
% 267.26/208.53 | Using (1335) and (1336) yields:
% 267.26/208.53 | (821) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (1335) op(e4, e4) = e2
% 267.26/208.53 | (551) e2 = e0
% 267.26/208.53 |
% 267.26/208.53 | Equations (551) can reduce 347 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (582) ~ (all_0_26_26 = e4)
% 267.26/208.53 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (1240), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (435) all_0_27_27 = e4
% 267.26/208.53 |
% 267.26/208.53 | Combining equations (435,443) yields a new equation:
% 267.26/208.53 | (1111) e4 = e2
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 1111 yields:
% 267.26/208.53 | (539) e4 = e2
% 267.26/208.53 |
% 267.26/208.53 | Equations (539) can reduce 19 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (404) ~ (all_0_27_27 = e4)
% 267.26/208.53 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 267.26/208.53 |
% 267.26/208.53 +-Applying beta-rule and splitting (8), into two cases.
% 267.26/208.53 |-Branch one:
% 267.26/208.53 | (464) all_0_15_15 = e4
% 267.26/208.53 |
% 267.26/208.53 | Combining equations (464,483) yields a new equation:
% 267.26/208.53 | (842) e4 = e0
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 842 yields:
% 267.26/208.53 | (490) e4 = e0
% 267.26/208.53 |
% 267.26/208.53 | Equations (490) can reduce 287 to:
% 267.26/208.53 | (366) $false
% 267.26/208.53 |
% 267.26/208.53 |-The branch is then unsatisfiable
% 267.26/208.53 |-Branch two:
% 267.26/208.53 | (460) ~ (all_0_15_15 = e4)
% 267.26/208.53 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.26/208.53 |
% 267.26/208.53 | Equations (483) can reduce 460 to:
% 267.26/208.53 | (389) ~ (e4 = e0)
% 267.26/208.53 |
% 267.26/208.53 | Simplifying 389 yields:
% 267.26/208.53 | (287) ~ (e4 = e0)
% 267.26/208.53 |
% 267.26/208.54 +-Applying beta-rule and splitting (6243), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (449) all_0_21_21 = e4
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (449,453) yields a new equation:
% 267.26/208.54 | (690) e4 = e3
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 690 yields:
% 267.26/208.54 | (691) e4 = e3
% 267.26/208.54 |
% 267.26/208.54 | Equations (691) can reduce 277 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (448) ~ (all_0_21_21 = e4)
% 267.26/208.54 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (453) can reduce 448 to:
% 267.26/208.54 | (695) ~ (e4 = e3)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 695 yields:
% 267.26/208.54 | (277) ~ (e4 = e3)
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (1245), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (892) all_0_28_28 = e4
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (896,892) yields a new equation:
% 267.26/208.54 | (691) e4 = e3
% 267.26/208.54 |
% 267.26/208.54 | Equations (691) can reduce 277 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (890) ~ (all_0_28_28 = e4)
% 267.26/208.54 | (1250) all_0_29_29 = e4
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (2537,1250) yields a new equation:
% 267.26/208.54 | (490) e4 = e0
% 267.26/208.54 |
% 267.26/208.54 | Equations (490) can reduce 287 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (1084) ~ (all_0_38_38 = e2)
% 267.26/208.54 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (1210), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (1211) all_0_38_38 = e1
% 267.26/208.54 |
% 267.26/208.54 | Equations (1211) can reduce 428 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (428) ~ (all_0_38_38 = e1)
% 267.26/208.54 | (1214) all_0_38_38 = e0
% 267.26/208.54 |
% 267.26/208.54 | Equations (1214) can reduce 388 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (1035) ~ (all_0_28_28 = e3)
% 267.26/208.54 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (269), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (1134) all_0_18_18 = e3
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (1134,887) yields a new equation:
% 267.26/208.54 | (691) e4 = e3
% 267.26/208.54 |
% 267.26/208.54 | Equations (691) can reduce 277 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (560) ~ (all_0_18_18 = e3)
% 267.26/208.54 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (1137), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (978) all_0_23_23 = e3
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (851,978) yields a new equation:
% 267.26/208.54 | (980) e3 = e0
% 267.26/208.54 |
% 267.26/208.54 | Equations (980) can reduce 88 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (982) ~ (all_0_23_23 = e3)
% 267.26/208.54 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (5316), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (1037) all_0_28_28 = e2
% 267.26/208.54 |
% 267.26/208.54 | Equations (1037) can reduce 649 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (649) ~ (all_0_28_28 = e2)
% 267.26/208.54 | (5320) all_0_33_33 = e2 | all_0_38_38 = e2
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (5320), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (414) all_0_33_33 = e2
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (414,418) yields a new equation:
% 267.26/208.54 | (717) e2 = e1
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 717 yields:
% 267.26/208.54 | (718) e2 = e1
% 267.26/208.54 |
% 267.26/208.54 | Equations (718) can reduce 329 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (401) ~ (all_0_33_33 = e2)
% 267.26/208.54 | (809) all_0_38_38 = e2
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (3084), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (896) all_0_28_28 = e3
% 267.26/208.54 |
% 267.26/208.54 | Equations (896) can reduce 1035 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (1035) ~ (all_0_28_28 = e3)
% 267.26/208.54 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (3089), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (410) all_0_33_33 = e3
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (418,410) yields a new equation:
% 267.26/208.54 | (706) e3 = e1
% 267.26/208.54 |
% 267.26/208.54 | Equations (706) can reduce 318 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (403) ~ (all_0_33_33 = e3)
% 267.26/208.54 | (1077) all_0_38_38 = e3
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (809,1077) yields a new equation:
% 267.26/208.54 | (764) e3 = e2
% 267.26/208.54 |
% 267.26/208.54 | Equations (764) can reduce 56 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (1068) ~ (all_0_23_23 = e0)
% 267.26/208.54 | (1069) all_0_24_24 = e0
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (940,1069) yields a new equation:
% 267.26/208.54 | (960) e1 = e0
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 960 yields:
% 267.26/208.54 | (961) e1 = e0
% 267.26/208.54 |
% 267.26/208.54 | Equations (961) can reduce 37 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (1114) ~ (all_0_20_20 = e2)
% 267.26/208.54 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (2309), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (1175) all_0_20_20 = e1
% 267.26/208.54 |
% 267.26/208.54 | Equations (1175) can reduce 1409 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (1409) ~ (all_0_20_20 = e1)
% 267.26/208.54 | (835) all_0_20_20 = e0
% 267.26/208.54 |
% 267.26/208.54 | Equations (835) can reduce 839 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (576) ~ (all_0_22_22 = e4)
% 267.26/208.54 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (7426), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (1515) all_0_23_23 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (1515) can reduce 578 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (578) ~ (all_0_23_23 = e4)
% 267.26/208.54 | (685) all_0_24_24 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (685) can reduce 580 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (1046) ~ (all_0_18_18 = e4)
% 267.26/208.54 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (36), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (887) all_0_18_18 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (887) can reduce 1046 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (1046) ~ (all_0_18_18 = e4)
% 267.26/208.54 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (166), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (464) all_0_15_15 = e4
% 267.26/208.54 |
% 267.26/208.54 | Combining equations (464,483) yields a new equation:
% 267.26/208.54 | (842) e4 = e0
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 842 yields:
% 267.26/208.54 | (490) e4 = e0
% 267.26/208.54 |
% 267.26/208.54 | Equations (490) can reduce 287 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (460) ~ (all_0_15_15 = e4)
% 267.26/208.54 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (483) can reduce 460 to:
% 267.26/208.54 | (389) ~ (e4 = e0)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 389 yields:
% 267.26/208.54 | (287) ~ (e4 = e0)
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (153), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (831) all_0_22_22 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (831) can reduce 211 to:
% 267.26/208.54 | (496) ~ (all_0_20_20 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (831) can reduce 346 to:
% 267.26/208.54 | (577) ~ (all_0_23_23 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 577 yields:
% 267.26/208.54 | (578) ~ (all_0_23_23 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (831) can reduce 268 to:
% 267.26/208.54 | (579) ~ (all_0_24_24 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 579 yields:
% 267.26/208.54 | (580) ~ (all_0_24_24 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (831) can reduce 63 to:
% 267.26/208.54 | (1495) ~ (all_0_32_32 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 1495 yields:
% 267.26/208.54 | (727) ~ (all_0_32_32 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (831) can reduce 774 to:
% 267.26/208.54 | (277) ~ (e4 = e3)
% 267.26/208.54 |
% 267.26/208.54 | From (831) and (147) follows:
% 267.26/208.54 | (25574) op(all_0_26_26, e4) = e3
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (1051), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (1515) all_0_23_23 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (1515) can reduce 578 to:
% 267.26/208.54 | (366) $false
% 267.26/208.54 |
% 267.26/208.54 |-The branch is then unsatisfiable
% 267.26/208.54 |-Branch two:
% 267.26/208.54 | (578) ~ (all_0_23_23 = e4)
% 267.26/208.54 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (694), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (701) all_0_16_16 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (701) can reduce 169 to:
% 267.26/208.54 | (11516) ~ (all_0_17_17 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 11516 yields:
% 267.26/208.54 | (869) ~ (all_0_17_17 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (701) can reduce 10 to:
% 267.26/208.54 | (583) ~ (all_0_31_31 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 583 yields:
% 267.26/208.54 | (584) ~ (all_0_31_31 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (701) can reduce 64 to:
% 267.26/208.54 | (585) ~ (all_0_36_36 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 585 yields:
% 267.26/208.54 | (586) ~ (all_0_36_36 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (701) can reduce 458 to:
% 267.26/208.54 | (277) ~ (e4 = e3)
% 267.26/208.54 |
% 267.26/208.54 | From (701) and (40) follows:
% 267.26/208.54 | (6525) op(all_0_20_20, e4) = e4
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (1518), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (892) all_0_28_28 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (892) can reduce 86 to:
% 267.26/208.54 | (578) ~ (all_0_23_23 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (892) can reduce 46 to:
% 267.26/208.54 | (582) ~ (all_0_26_26 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (892) can reduce 649 to:
% 267.26/208.54 | (19) ~ (e4 = e2)
% 267.26/208.54 |
% 267.26/208.54 | Equations (892) can reduce 421 to:
% 267.26/208.54 | (65) ~ (e4 = e1)
% 267.26/208.54 |
% 267.26/208.54 +-Applying beta-rule and splitting (327), into two cases.
% 267.26/208.54 |-Branch one:
% 267.26/208.54 | (768) all_0_30_30 = e4
% 267.26/208.54 |
% 267.26/208.54 | Equations (768) can reduce 116 to:
% 267.26/208.54 | (496) ~ (all_0_20_20 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (768) can reduce 58 to:
% 267.26/208.54 | (501) ~ (all_0_25_25 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (768) can reduce 15 to:
% 267.26/208.54 | (2206) ~ (all_0_34_34 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 2206 yields:
% 267.26/208.54 | (1395) ~ (all_0_34_34 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Equations (768) can reduce 96 to:
% 267.26/208.54 | (1159) ~ (all_0_35_35 = e4)
% 267.26/208.54 |
% 267.26/208.54 | Simplifying 1159 yields:
% 267.26/208.54 | (514) ~ (all_0_35_35 = e4)
% 267.26/208.54 |
% 267.26/208.55 | Equations (768) can reduce 1878 to:
% 267.26/208.55 | (287) ~ (e4 = e0)
% 267.26/208.55 |
% 267.26/208.55 | From (768) and (238) follows:
% 267.26/208.55 | (26221) op(all_0_18_18, e4) = e1
% 267.26/208.55 |
% 267.26/208.55 | Instantiating formula (97) with e3, e4, e1, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 267.26/208.55 | (732) all_0_20_20 = e1 | ~ (op(e3, e4) = e1)
% 267.26/208.55 |
% 267.26/208.55 | Instantiating formula (97) with e2, e4, e1, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 267.26/208.55 | (733) all_0_25_25 = e1 | ~ (op(e2, e4) = e1)
% 267.26/208.55 |
% 267.26/208.55 | Instantiating formula (97) with all_0_20_20, e4, e4, e1 and discharging atoms op(all_0_20_20, e4) = e4, yields:
% 267.26/208.55 | (26224) e4 = e1 | ~ (op(all_0_20_20, e4) = e1)
% 267.26/208.55 |
% 267.26/208.55 | Instantiating formula (97) with e0, e4, e3, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 267.26/208.55 | (5591) all_0_35_35 = e3 | ~ (op(e0, e4) = e3)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (162), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (472) all_0_15_15 = e2
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (472,483) yields a new equation:
% 267.26/208.55 | (836) e2 = e0
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 836 yields:
% 267.26/208.55 | (551) e2 = e0
% 267.26/208.55 |
% 267.26/208.55 | Equations (551) can reduce 347 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (447) ~ (all_0_15_15 = e2)
% 267.26/208.55 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.26/208.55 |
% 267.26/208.55 | Equations (483) can reduce 447 to:
% 267.26/208.55 | (393) ~ (e2 = e0)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 393 yields:
% 267.26/208.55 | (347) ~ (e2 = e0)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (155), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (759) all_0_30_30 = e3
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (759,768) yields a new equation:
% 267.26/208.55 | (691) e4 = e3
% 267.26/208.55 |
% 267.26/208.55 | Equations (691) can reduce 277 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (568) ~ (all_0_30_30 = e3)
% 267.26/208.55 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.26/208.55 |
% 267.26/208.55 | Equations (768) can reduce 568 to:
% 267.26/208.55 | (277) ~ (e4 = e3)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (222), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (823) all_0_17_17 = e0
% 267.26/208.55 |
% 267.26/208.55 | Equations (823) can reduce 2422 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (2422) ~ (all_0_17_17 = e0)
% 267.26/208.55 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (241), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1921) all_0_25_25 = e0
% 267.26/208.55 |
% 267.26/208.55 | Equations (1921) can reduce 1925 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (1925) ~ (all_0_25_25 = e0)
% 267.26/208.55 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (111), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (468) all_0_15_15 = e3
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (468,483) yields a new equation:
% 267.26/208.55 | (979) e3 = e0
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 979 yields:
% 267.26/208.55 | (980) e3 = e0
% 267.26/208.55 |
% 267.26/208.55 | Equations (980) can reduce 88 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (433) ~ (all_0_15_15 = e3)
% 267.26/208.55 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 267.26/208.55 |
% 267.26/208.55 | Equations (483) can reduce 433 to:
% 267.26/208.55 | (391) ~ (e3 = e0)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 391 yields:
% 267.26/208.55 | (88) ~ (e3 = e0)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (269), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1134) all_0_18_18 = e3
% 267.26/208.55 |
% 267.26/208.55 | Equations (1134) can reduce 74 to:
% 267.26/208.55 | (558) ~ (all_0_17_17 = e3)
% 267.26/208.55 |
% 267.26/208.55 | Equations (1134) can reduce 110 to:
% 267.26/208.55 | (3066) ~ (all_0_23_23 = e3)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 3066 yields:
% 267.26/208.55 | (982) ~ (all_0_23_23 = e3)
% 267.26/208.55 |
% 267.26/208.55 | From (1134) and (26221) follows:
% 267.26/208.55 | (1171) op(e3, e4) = e1
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (114), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (472) all_0_15_15 = e2
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (472,483) yields a new equation:
% 267.26/208.55 | (836) e2 = e0
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 836 yields:
% 267.26/208.55 | (551) e2 = e0
% 267.26/208.55 |
% 267.26/208.55 | Equations (551) can reduce 347 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (447) ~ (all_0_15_15 = e2)
% 267.26/208.55 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (240), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (865) all_0_17_17 = e4
% 267.26/208.55 |
% 267.26/208.55 | Equations (865) can reduce 869 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (869) ~ (all_0_17_17 = e4)
% 267.26/208.55 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (732), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1172) ~ (op(e3, e4) = e1)
% 267.26/208.55 |
% 267.26/208.55 | Using (1171) and (1172) yields:
% 267.26/208.55 | (821) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (1171) op(e3, e4) = e1
% 267.26/208.55 | (1175) all_0_20_20 = e1
% 267.26/208.55 |
% 267.26/208.55 | Equations (1175) can reduce 167 to:
% 267.26/208.55 | (1964) ~ (all_0_24_24 = e1)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 1964 yields:
% 267.26/208.55 | (943) ~ (all_0_24_24 = e1)
% 267.26/208.55 |
% 267.26/208.55 | Equations (1175) can reduce 95 to:
% 267.26/208.55 | (4378) ~ (all_0_25_25 = e1)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 4378 yields:
% 267.26/208.55 | (946) ~ (all_0_25_25 = e1)
% 267.26/208.55 |
% 267.26/208.55 | Equations (1175) can reduce 839 to:
% 267.26/208.55 | (37) ~ (e1 = e0)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (1961), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1970) all_0_17_17 = e3
% 267.26/208.55 |
% 267.26/208.55 | Equations (1970) can reduce 558 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (558) ~ (all_0_17_17 = e3)
% 267.26/208.55 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (245), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1158) all_0_25_25 = e4
% 267.26/208.55 |
% 267.26/208.55 | Equations (1158) can reduce 501 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (501) ~ (all_0_25_25 = e4)
% 267.26/208.55 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (3136), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (2438) all_0_25_25 = e3
% 267.26/208.55 |
% 267.26/208.55 | Equations (2438) can reduce 128 to:
% 267.26/208.55 | (5499) ~ (all_0_26_26 = e3)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 5499 yields:
% 267.26/208.55 | (504) ~ (all_0_26_26 = e3)
% 267.26/208.55 |
% 267.26/208.55 | Equations (2438) can reduce 98 to:
% 267.26/208.55 | (569) ~ (all_0_35_35 = e3)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 569 yields:
% 267.26/208.55 | (570) ~ (all_0_35_35 = e3)
% 267.26/208.55 |
% 267.26/208.55 | Equations (2438) can reduce 646 to:
% 267.26/208.55 | (56) ~ (e3 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Equations (2438) can reduce 1925 to:
% 267.26/208.55 | (88) ~ (e3 = e0)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (2921), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (736) all_0_20_20 = e2
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (736,1175) yields a new equation:
% 267.26/208.55 | (717) e2 = e1
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 717 yields:
% 267.26/208.55 | (718) e2 = e1
% 267.26/208.55 |
% 267.26/208.55 | Equations (718) can reduce 329 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (1114) ~ (all_0_20_20 = e2)
% 267.26/208.55 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (10030), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (3159) all_0_25_25 = e2
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (3159,2438) yields a new equation:
% 267.26/208.55 | (764) e3 = e2
% 267.26/208.55 |
% 267.26/208.55 | Equations (764) can reduce 56 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (646) ~ (all_0_25_25 = e2)
% 267.26/208.55 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (16274), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (747) all_0_30_30 = e2
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (768,747) yields a new equation:
% 267.26/208.55 | (1111) e4 = e2
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 1111 yields:
% 267.26/208.55 | (539) e4 = e2
% 267.26/208.55 |
% 267.26/208.55 | Equations (539) can reduce 19 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (740) ~ (all_0_30_30 = e2)
% 267.26/208.55 | (797) all_0_35_35 = e2
% 267.26/208.55 |
% 267.26/208.55 | Equations (797) can reduce 273 to:
% 267.26/208.55 | (755) ~ (all_0_36_36 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 755 yields:
% 267.26/208.55 | (756) ~ (all_0_36_36 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Equations (797) can reduce 173 to:
% 267.26/208.55 | (1130) ~ (all_0_38_38 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 1130 yields:
% 267.26/208.55 | (1084) ~ (all_0_38_38 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Equations (797) can reduce 514 to:
% 267.26/208.55 | (444) ~ (e4 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 444 yields:
% 267.26/208.55 | (19) ~ (e4 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Equations (797) can reduce 570 to:
% 267.26/208.55 | (658) ~ (e3 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 658 yields:
% 267.26/208.55 | (56) ~ (e3 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Equations (797) can reduce 385 to:
% 267.26/208.55 | (347) ~ (e2 = e0)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (309), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1274) all_0_18_18 = e2
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (1134,1274) yields a new equation:
% 267.26/208.55 | (3874) e3 = e2
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 3874 yields:
% 267.26/208.55 | (764) e3 = e2
% 267.26/208.55 |
% 267.26/208.55 | Equations (764) can reduce 56 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (666) ~ (all_0_18_18 = e2)
% 267.26/208.55 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (1756), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1126) all_0_23_23 = e2
% 267.26/208.55 |
% 267.26/208.55 | Equations (1126) can reduce 578 to:
% 267.26/208.55 | (444) ~ (e4 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 444 yields:
% 267.26/208.55 | (19) ~ (e4 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Equations (1126) can reduce 982 to:
% 267.26/208.55 | (658) ~ (e3 = e2)
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 658 yields:
% 267.26/208.55 | (56) ~ (e3 = e2)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (185), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1153) all_0_18_18 = e0
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (1134,1153) yields a new equation:
% 267.26/208.55 | (979) e3 = e0
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 979 yields:
% 267.26/208.55 | (980) e3 = e0
% 267.26/208.55 |
% 267.26/208.55 | Equations (980) can reduce 88 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (1156) ~ (all_0_18_18 = e0)
% 267.26/208.55 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (1157), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (851) all_0_23_23 = e0
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (1126,851) yields a new equation:
% 267.26/208.55 | (836) e2 = e0
% 267.26/208.55 |
% 267.26/208.55 | Simplifying 836 yields:
% 267.26/208.55 | (551) e2 = e0
% 267.26/208.55 |
% 267.26/208.55 | Equations (551) can reduce 347 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (1068) ~ (all_0_23_23 = e0)
% 267.26/208.55 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (340), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (697) all_0_16_16 = e2
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (697,701) yields a new equation:
% 267.26/208.55 | (539) e4 = e2
% 267.26/208.55 |
% 267.26/208.55 | Equations (539) can reduce 19 to:
% 267.26/208.55 | (366) $false
% 267.26/208.55 |
% 267.26/208.55 |-The branch is then unsatisfiable
% 267.26/208.55 |-Branch two:
% 267.26/208.55 | (664) ~ (all_0_16_16 = e2)
% 267.26/208.55 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.26/208.55 |
% 267.26/208.55 | Equations (701) can reduce 664 to:
% 267.26/208.55 | (19) ~ (e4 = e2)
% 267.26/208.55 |
% 267.26/208.55 +-Applying beta-rule and splitting (1228), into two cases.
% 267.26/208.55 |-Branch one:
% 267.26/208.55 | (1044) all_0_28_28 = e0
% 267.26/208.55 |
% 267.26/208.55 | Combining equations (892,1044) yields a new equation:
% 267.26/208.56 | (842) e4 = e0
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 842 yields:
% 267.26/208.56 | (490) e4 = e0
% 267.26/208.56 |
% 267.26/208.56 | Equations (490) can reduce 287 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (886) ~ (all_0_28_28 = e0)
% 267.26/208.56 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (1253), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1254) all_0_33_33 = e0
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (418,1254) yields a new equation:
% 267.26/208.56 | (960) e1 = e0
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 960 yields:
% 267.26/208.56 | (961) e1 = e0
% 267.26/208.56 |
% 267.26/208.56 | Equations (961) can reduce 37 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (399) ~ (all_0_33_33 = e0)
% 267.26/208.56 | (1214) all_0_38_38 = e0
% 267.26/208.56 |
% 267.26/208.56 | Equations (1214) can reduce 93 to:
% 267.26/208.56 | (386) ~ (all_0_36_36 = e0)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (1979), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1980) all_0_17_17 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (1980) can reduce 459 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (459) ~ (all_0_17_17 = e2)
% 267.26/208.56 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (1983), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1498) all_0_17_17 = e1
% 267.26/208.56 |
% 267.26/208.56 | Equations (1498) can reduce 459 to:
% 267.26/208.56 | (1002) ~ (e2 = e1)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 1002 yields:
% 267.26/208.56 | (329) ~ (e2 = e1)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (2791), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (697) all_0_16_16 = e2
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (697,701) yields a new equation:
% 267.26/208.56 | (539) e4 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (539) can reduce 19 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (664) ~ (all_0_16_16 = e2)
% 267.26/208.56 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (2933), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1980) all_0_17_17 = e2
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (1498,1980) yields a new equation:
% 267.26/208.56 | (718) e2 = e1
% 267.26/208.56 |
% 267.26/208.56 | Equations (718) can reduce 329 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (459) ~ (all_0_17_17 = e2)
% 267.26/208.56 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (154), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (685) all_0_24_24 = e4
% 267.26/208.56 |
% 267.26/208.56 | Equations (685) can reduce 580 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (580) ~ (all_0_24_24 = e4)
% 267.26/208.56 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (700), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (522) all_0_21_21 = e2
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (522,453) yields a new equation:
% 267.26/208.56 | (764) e3 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (764) can reduce 56 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (361) ~ (all_0_21_21 = e2)
% 267.26/208.56 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (453) can reduce 361 to:
% 267.26/208.56 | (56) ~ (e3 = e2)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (2937), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1274) all_0_18_18 = e2
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (1134,1274) yields a new equation:
% 267.26/208.56 | (3874) e3 = e2
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 3874 yields:
% 267.26/208.56 | (764) e3 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (764) can reduce 56 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (666) ~ (all_0_18_18 = e2)
% 267.26/208.56 | (663) all_0_19_19 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (663) can reduce 87 to:
% 267.26/208.56 | (667) ~ (all_0_24_24 = e2)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 667 yields:
% 267.26/208.56 | (668) ~ (all_0_24_24 = e2)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (2289), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (2380) all_0_26_26 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (2380) can reduce 647 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (647) ~ (all_0_26_26 = e2)
% 267.26/208.56 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (2383), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (751) all_0_31_31 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (751) can reduce 145 to:
% 267.26/208.56 | (647) ~ (all_0_26_26 = e2)
% 267.26/208.56 |
% 267.26/208.56 | Equations (751) can reduce 188 to:
% 267.26/208.56 | (671) ~ (all_0_34_34 = e2)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 671 yields:
% 267.26/208.56 | (672) ~ (all_0_34_34 = e2)
% 267.26/208.56 |
% 267.26/208.56 | Equations (751) can reduce 7 to:
% 267.26/208.56 | (755) ~ (all_0_36_36 = e2)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 755 yields:
% 267.26/208.56 | (756) ~ (all_0_36_36 = e2)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (688), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (939) all_0_24_24 = e3
% 267.26/208.56 |
% 267.26/208.56 | Equations (939) can reduce 963 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (963) ~ (all_0_24_24 = e3)
% 267.26/208.56 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (968), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1393) all_0_24_24 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (1393) can reduce 668 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (668) ~ (all_0_24_24 = e2)
% 267.26/208.56 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (2760), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (940) all_0_24_24 = e1
% 267.26/208.56 |
% 267.26/208.56 | Equations (940) can reduce 943 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (943) ~ (all_0_24_24 = e1)
% 267.26/208.56 | (1069) all_0_24_24 = e0
% 267.26/208.56 |
% 267.26/208.56 | Equations (1069) can reduce 4 to:
% 267.26/208.56 | (2963) ~ (all_0_34_34 = e0)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 2963 yields:
% 267.26/208.56 | (384) ~ (all_0_34_34 = e0)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (83), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (723) all_0_34_34 = e4
% 267.26/208.56 |
% 267.26/208.56 | Equations (723) can reduce 1395 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (1395) ~ (all_0_34_34 = e4)
% 267.26/208.56 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (1396), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1027) all_0_34_34 = e3
% 267.26/208.56 |
% 267.26/208.56 | Equations (1027) can reduce 1395 to:
% 267.26/208.56 | (695) ~ (e4 = e3)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 695 yields:
% 267.26/208.56 | (277) ~ (e4 = e3)
% 267.26/208.56 |
% 267.26/208.56 | Equations (1027) can reduce 672 to:
% 267.26/208.56 | (56) ~ (e3 = e2)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (187), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (2611) all_0_36_36 = e4
% 267.26/208.56 |
% 267.26/208.56 | Equations (2611) can reduce 586 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (586) ~ (all_0_36_36 = e4)
% 267.26/208.56 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (2614), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (818) all_0_36_36 = e3
% 267.26/208.56 |
% 267.26/208.56 | Equations (818) can reduce 516 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (516) ~ (all_0_36_36 = e3)
% 267.26/208.56 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (3567), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (801) all_0_36_36 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (801) can reduce 756 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (756) ~ (all_0_36_36 = e2)
% 267.26/208.56 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (3571), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1015) all_0_36_36 = e1
% 267.26/208.56 |
% 267.26/208.56 | Equations (1015) can reduce 170 to:
% 267.26/208.56 | (1008) ~ (all_0_26_26 = e1)
% 267.26/208.56 |
% 267.26/208.56 | Equations (1015) can reduce 516 to:
% 267.26/208.56 | (429) ~ (e3 = e1)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 429 yields:
% 267.26/208.56 | (318) ~ (e3 = e1)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (182), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1237) all_0_26_26 = e4
% 267.26/208.56 |
% 267.26/208.56 | Equations (1237) can reduce 582 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (582) ~ (all_0_26_26 = e4)
% 267.26/208.56 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (164), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (814) all_0_35_35 = e3
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (814,797) yields a new equation:
% 267.26/208.56 | (3874) e3 = e2
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 3874 yields:
% 267.26/208.56 | (764) e3 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (764) can reduce 56 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (570) ~ (all_0_35_35 = e3)
% 267.26/208.56 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 267.26/208.56 |
% 267.26/208.56 | Equations (797) can reduce 570 to:
% 267.26/208.56 | (658) ~ (e3 = e2)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 658 yields:
% 267.26/208.56 | (56) ~ (e3 = e2)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (232), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1970) all_0_17_17 = e3
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (1970,1498) yields a new equation:
% 267.26/208.56 | (933) e3 = e1
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 933 yields:
% 267.26/208.56 | (706) e3 = e1
% 267.26/208.56 |
% 267.26/208.56 | Equations (706) can reduce 318 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (558) ~ (all_0_17_17 = e3)
% 267.26/208.56 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (1973), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (857) all_0_22_22 = e3
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (857,831) yields a new equation:
% 267.26/208.56 | (691) e4 = e3
% 267.26/208.56 |
% 267.26/208.56 | Equations (691) can reduce 277 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (774) ~ (all_0_22_22 = e3)
% 267.26/208.56 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (3115), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (439) all_0_27_27 = e3
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (443,439) yields a new equation:
% 267.26/208.56 | (764) e3 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (764) can reduce 56 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (400) ~ (all_0_27_27 = e3)
% 267.26/208.56 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 267.26/208.56 |
% 267.26/208.56 | Equations (443) can reduce 400 to:
% 267.26/208.56 | (658) ~ (e3 = e2)
% 267.26/208.56 |
% 267.26/208.56 | Simplifying 658 yields:
% 267.26/208.56 | (56) ~ (e3 = e2)
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (5353), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (2443) all_0_26_26 = e3
% 267.26/208.56 |
% 267.26/208.56 | Equations (2443) can reduce 504 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (504) ~ (all_0_26_26 = e3)
% 267.26/208.56 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (1926), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (883) all_0_26_26 = e0
% 267.26/208.56 |
% 267.26/208.56 | From (883) and (25574) follows:
% 267.26/208.56 | (5803) op(e0, e4) = e3
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (5591), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (5811) ~ (op(e0, e4) = e3)
% 267.26/208.56 |
% 267.26/208.56 | Using (5803) and (5811) yields:
% 267.26/208.56 | (821) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (5803) op(e0, e4) = e3
% 267.26/208.56 | (814) all_0_35_35 = e3
% 267.26/208.56 |
% 267.26/208.56 | Combining equations (797,814) yields a new equation:
% 267.26/208.56 | (764) e3 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (764) can reduce 56 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (1058) ~ (all_0_26_26 = e0)
% 267.26/208.56 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (5357), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (2380) all_0_26_26 = e2
% 267.26/208.56 |
% 267.26/208.56 | Equations (2380) can reduce 647 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (647) ~ (all_0_26_26 = e2)
% 267.26/208.56 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 267.26/208.56 |
% 267.26/208.56 +-Applying beta-rule and splitting (5361), into two cases.
% 267.26/208.56 |-Branch one:
% 267.26/208.56 | (1005) all_0_26_26 = e1
% 267.26/208.56 |
% 267.26/208.56 | Equations (1005) can reduce 1008 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.56 |-Branch two:
% 267.26/208.56 | (1008) ~ (all_0_26_26 = e1)
% 267.26/208.56 | (883) all_0_26_26 = e0
% 267.26/208.56 |
% 267.26/208.56 | Equations (883) can reduce 1058 to:
% 267.26/208.56 | (366) $false
% 267.26/208.56 |
% 267.26/208.56 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (1593) ~ (all_0_36_36 = e1)
% 267.26/208.57 | (1065) all_0_36_36 = e0
% 267.26/208.57 |
% 267.26/208.57 | Equations (1065) can reduce 386 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (1031) ~ (all_0_34_34 = e3)
% 267.26/208.57 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (1709), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (1110) all_0_34_34 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (1110) can reduce 672 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (672) ~ (all_0_34_34 = e2)
% 267.26/208.57 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (1713), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (954) all_0_34_34 = e1
% 267.26/208.57 |
% 267.26/208.57 | Equations (954) can reduce 426 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (426) ~ (all_0_34_34 = e1)
% 267.26/208.57 | (1717) all_0_34_34 = e0
% 267.26/208.57 |
% 267.26/208.57 | Equations (1717) can reduce 384 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (1099) ~ (all_0_31_31 = e2)
% 267.26/208.57 | (801) all_0_36_36 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (801) can reduce 756 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (1501) ~ (all_0_17_17 = e1)
% 267.26/208.57 | (823) all_0_17_17 = e0
% 267.26/208.57 |
% 267.26/208.57 | Equations (823) can reduce 2422 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (810) ~ (all_0_23_23 = e2)
% 267.26/208.57 | (5316) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (340), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (697) all_0_16_16 = e2
% 267.26/208.57 |
% 267.26/208.57 | Combining equations (697,701) yields a new equation:
% 267.26/208.57 | (539) e4 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (539) can reduce 19 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (664) ~ (all_0_16_16 = e2)
% 267.26/208.57 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (701) can reduce 664 to:
% 267.26/208.57 | (19) ~ (e4 = e2)
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (5316), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (1037) all_0_28_28 = e2
% 267.26/208.57 |
% 267.26/208.57 | Combining equations (892,1037) yields a new equation:
% 267.26/208.57 | (1111) e4 = e2
% 267.26/208.57 |
% 267.26/208.57 | Simplifying 1111 yields:
% 267.26/208.57 | (539) e4 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (539) can reduce 19 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (649) ~ (all_0_28_28 = e2)
% 267.26/208.57 | (5320) all_0_33_33 = e2 | all_0_38_38 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (892) can reduce 649 to:
% 267.26/208.57 | (19) ~ (e4 = e2)
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (2791), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (697) all_0_16_16 = e2
% 267.26/208.57 |
% 267.26/208.57 | Combining equations (697,701) yields a new equation:
% 267.26/208.57 | (539) e4 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (539) can reduce 19 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (664) ~ (all_0_16_16 = e2)
% 267.26/208.57 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (1979), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (1980) all_0_17_17 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (1980) can reduce 459 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (459) ~ (all_0_17_17 = e2)
% 267.26/208.57 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (1983), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (1498) all_0_17_17 = e1
% 267.26/208.57 |
% 267.26/208.57 | Equations (1498) can reduce 459 to:
% 267.26/208.57 | (1002) ~ (e2 = e1)
% 267.26/208.57 |
% 267.26/208.57 | Simplifying 1002 yields:
% 267.26/208.57 | (329) ~ (e2 = e1)
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (2933), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (1980) all_0_17_17 = e2
% 267.26/208.57 |
% 267.26/208.57 | Combining equations (1498,1980) yields a new equation:
% 267.26/208.57 | (718) e2 = e1
% 267.26/208.57 |
% 267.26/208.57 | Equations (718) can reduce 329 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (459) ~ (all_0_17_17 = e2)
% 267.26/208.57 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (1498) can reduce 459 to:
% 267.26/208.57 | (1002) ~ (e2 = e1)
% 267.26/208.57 |
% 267.26/208.57 | Simplifying 1002 yields:
% 267.26/208.57 | (329) ~ (e2 = e1)
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (5320), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (414) all_0_33_33 = e2
% 267.26/208.57 |
% 267.26/208.57 | Combining equations (414,418) yields a new equation:
% 267.26/208.57 | (717) e2 = e1
% 267.26/208.57 |
% 267.26/208.57 | Simplifying 717 yields:
% 267.26/208.57 | (718) e2 = e1
% 267.26/208.57 |
% 267.26/208.57 | Equations (718) can reduce 329 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (401) ~ (all_0_33_33 = e2)
% 267.26/208.57 | (809) all_0_38_38 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (809) can reduce 1084 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (1501) ~ (all_0_17_17 = e1)
% 267.26/208.57 | (823) all_0_17_17 = e0
% 267.26/208.57 |
% 267.26/208.57 | Equations (823) can reduce 2422 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (566) ~ (all_0_25_25 = e3)
% 267.26/208.57 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (3158), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (3159) all_0_25_25 = e2
% 267.26/208.57 |
% 267.26/208.57 | Equations (3159) can reduce 646 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (646) ~ (all_0_25_25 = e2)
% 267.26/208.57 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (3162), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (950) all_0_25_25 = e1
% 267.26/208.57 |
% 267.26/208.57 | Equations (950) can reduce 946 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (946) ~ (all_0_25_25 = e1)
% 267.26/208.57 | (1921) all_0_25_25 = e0
% 267.26/208.57 |
% 267.26/208.57 | Equations (1921) can reduce 1925 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (560) ~ (all_0_18_18 = e3)
% 267.26/208.57 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (1137), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (978) all_0_23_23 = e3
% 267.26/208.57 |
% 267.26/208.57 | Equations (978) can reduce 982 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (982) ~ (all_0_23_23 = e3)
% 267.26/208.57 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (3084), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (896) all_0_28_28 = e3
% 267.26/208.57 |
% 267.26/208.57 | Combining equations (892,896) yields a new equation:
% 267.26/208.57 | (690) e4 = e3
% 267.26/208.57 |
% 267.26/208.57 | Simplifying 690 yields:
% 267.26/208.57 | (691) e4 = e3
% 267.26/208.57 |
% 267.26/208.57 | Equations (691) can reduce 277 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (1035) ~ (all_0_28_28 = e3)
% 267.26/208.57 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (3089), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (410) all_0_33_33 = e3
% 267.26/208.57 |
% 267.26/208.57 | Combining equations (418,410) yields a new equation:
% 267.26/208.57 | (706) e3 = e1
% 267.26/208.57 |
% 267.26/208.57 | Equations (706) can reduce 318 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (403) ~ (all_0_33_33 = e3)
% 267.26/208.57 | (1077) all_0_38_38 = e3
% 267.26/208.57 |
% 267.26/208.57 | Equations (1077) can reduce 142 to:
% 267.26/208.57 | (560) ~ (all_0_18_18 = e3)
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (185), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (1153) all_0_18_18 = e0
% 267.26/208.57 |
% 267.26/208.57 | Equations (1153) can reduce 1156 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (1156) ~ (all_0_18_18 = e0)
% 267.26/208.57 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (7536), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (903) all_0_20_20 = e3
% 267.26/208.57 |
% 267.26/208.57 | Equations (903) can reduce 564 to:
% 267.26/208.57 | (366) $false
% 267.26/208.57 |
% 267.26/208.57 |-The branch is then unsatisfiable
% 267.26/208.57 |-Branch two:
% 267.26/208.57 | (564) ~ (all_0_20_20 = e3)
% 267.26/208.57 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 267.26/208.57 |
% 267.26/208.57 +-Applying beta-rule and splitting (1047), into two cases.
% 267.26/208.57 |-Branch one:
% 267.26/208.57 | (1134) all_0_18_18 = e3
% 267.26/208.57 |
% 267.26/208.58 | Equations (1134) can reduce 560 to:
% 267.26/208.58 | (366) $false
% 267.26/208.58 |
% 267.26/208.58 |-The branch is then unsatisfiable
% 267.26/208.58 |-Branch two:
% 267.26/208.58 | (560) ~ (all_0_18_18 = e3)
% 267.26/208.58 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (1157), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (851) all_0_23_23 = e0
% 267.26/208.58 |
% 267.26/208.58 | Equations (851) can reduce 110 to:
% 267.26/208.58 | (1156) ~ (all_0_18_18 = e0)
% 267.26/208.58 |
% 267.26/208.58 | Equations (851) can reduce 272 to:
% 267.26/208.58 | (839) ~ (all_0_20_20 = e0)
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (1270), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (1274) all_0_18_18 = e2
% 267.26/208.58 |
% 267.26/208.58 | From (1274) and (26221) follows:
% 267.26/208.58 | (812) op(e2, e4) = e1
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (733), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (947) ~ (op(e2, e4) = e1)
% 267.26/208.58 |
% 267.26/208.58 | Using (812) and (947) yields:
% 267.26/208.58 | (821) $false
% 267.26/208.58 |
% 267.26/208.58 |-The branch is then unsatisfiable
% 267.26/208.58 |-Branch two:
% 267.26/208.58 | (812) op(e2, e4) = e1
% 267.26/208.58 | (950) all_0_25_25 = e1
% 267.26/208.58 |
% 267.26/208.58 | Equations (950) can reduce 95 to:
% 267.26/208.58 | (1409) ~ (all_0_20_20 = e1)
% 267.26/208.58 |
% 267.26/208.58 | Equations (950) can reduce 501 to:
% 267.26/208.58 | (477) ~ (e4 = e1)
% 267.26/208.58 |
% 267.26/208.58 | Simplifying 477 yields:
% 267.26/208.58 | (65) ~ (e4 = e1)
% 267.26/208.58 |
% 267.26/208.58 | From (950) and (233) follows:
% 267.26/208.58 | (812) op(e2, e4) = e1
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (228), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (921) all_0_16_16 = e1
% 267.26/208.58 |
% 267.26/208.58 | Combining equations (921,701) yields a new equation:
% 267.26/208.58 | (480) e4 = e1
% 267.26/208.58 |
% 267.26/208.58 | Equations (480) can reduce 65 to:
% 267.26/208.58 | (366) $false
% 267.26/208.58 |
% 267.26/208.58 |-The branch is then unsatisfiable
% 267.26/208.58 |-Branch two:
% 267.26/208.58 | (985) ~ (all_0_16_16 = e1)
% 267.26/208.58 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 267.26/208.58 |
% 267.26/208.58 | Equations (701) can reduce 985 to:
% 267.26/208.58 | (65) ~ (e4 = e1)
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (308), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (1175) all_0_20_20 = e1
% 267.26/208.58 |
% 267.26/208.58 | Equations (1175) can reduce 1409 to:
% 267.26/208.58 | (366) $false
% 267.26/208.58 |
% 267.26/208.58 |-The branch is then unsatisfiable
% 267.26/208.58 |-Branch two:
% 267.26/208.58 | (1409) ~ (all_0_20_20 = e1)
% 267.26/208.58 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (231), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (1453) all_0_20_20 = e4
% 267.26/208.58 |
% 267.26/208.58 | Equations (1453) can reduce 496 to:
% 267.26/208.58 | (366) $false
% 267.26/208.58 |
% 267.26/208.58 |-The branch is then unsatisfiable
% 267.26/208.58 |-Branch two:
% 267.26/208.58 | (496) ~ (all_0_20_20 = e4)
% 267.26/208.58 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (2301), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (903) all_0_20_20 = e3
% 267.26/208.58 |
% 267.26/208.58 | Equations (903) can reduce 564 to:
% 267.26/208.58 | (366) $false
% 267.26/208.58 |
% 267.26/208.58 |-The branch is then unsatisfiable
% 267.26/208.58 |-Branch two:
% 267.26/208.58 | (564) ~ (all_0_20_20 = e3)
% 267.26/208.58 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (2305), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (736) all_0_20_20 = e2
% 267.26/208.58 |
% 267.26/208.58 +-Applying beta-rule and splitting (26224), into two cases.
% 267.26/208.58 |-Branch one:
% 267.26/208.58 | (26636) ~ (op(all_0_20_20, e4) = e1)
% 267.26/208.58 |
% 267.26/208.58 | From (736) and (26636) follows:
% 267.33/208.58 | (947) ~ (op(e2, e4) = e1)
% 267.33/208.58 |
% 267.33/208.58 | Using (812) and (947) yields:
% 267.33/208.58 | (821) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (26639) op(all_0_20_20, e4) = e1
% 267.33/208.58 | (480) e4 = e1
% 267.33/208.58 |
% 267.33/208.58 | Equations (480) can reduce 65 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (1114) ~ (all_0_20_20 = e2)
% 267.33/208.58 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (2309), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (1175) all_0_20_20 = e1
% 267.33/208.58 |
% 267.33/208.58 | Equations (1175) can reduce 1409 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (1409) ~ (all_0_20_20 = e1)
% 267.33/208.58 | (835) all_0_20_20 = e0
% 267.33/208.58 |
% 267.33/208.58 | Equations (835) can reduce 839 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (666) ~ (all_0_18_18 = e2)
% 267.33/208.58 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (1277), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (1278) all_0_18_18 = e1
% 267.33/208.58 |
% 267.33/208.58 | Equations (1278) can reduce 419 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (419) ~ (all_0_18_18 = e1)
% 267.33/208.58 | (1153) all_0_18_18 = e0
% 267.33/208.58 |
% 267.33/208.58 | Equations (1153) can reduce 1156 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (1068) ~ (all_0_23_23 = e0)
% 267.33/208.58 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (1228), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (1044) all_0_28_28 = e0
% 267.33/208.58 |
% 267.33/208.58 | Combining equations (892,1044) yields a new equation:
% 267.33/208.58 | (842) e4 = e0
% 267.33/208.58 |
% 267.33/208.58 | Simplifying 842 yields:
% 267.33/208.58 | (490) e4 = e0
% 267.33/208.58 |
% 267.33/208.58 | Equations (490) can reduce 287 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (886) ~ (all_0_28_28 = e0)
% 267.33/208.58 | (1253) all_0_33_33 = e0 | all_0_38_38 = e0
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (1253), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (1254) all_0_33_33 = e0
% 267.33/208.58 |
% 267.33/208.58 | Combining equations (1254,418) yields a new equation:
% 267.33/208.58 | (961) e1 = e0
% 267.33/208.58 |
% 267.33/208.58 | Equations (961) can reduce 37 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (399) ~ (all_0_33_33 = e0)
% 267.33/208.58 | (1214) all_0_38_38 = e0
% 267.33/208.58 |
% 267.33/208.58 | Combining equations (1214,1077) yields a new equation:
% 267.33/208.58 | (980) e3 = e0
% 267.33/208.58 |
% 267.33/208.58 | Equations (980) can reduce 88 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (509) ~ (all_0_30_30 = e4)
% 267.33/208.58 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (1437), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (1446) all_0_31_31 = e4
% 267.33/208.58 |
% 267.33/208.58 | Equations (1446) can reduce 584 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.58 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (1449), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (1229) all_0_32_32 = e4
% 267.33/208.58 |
% 267.33/208.58 | Equations (1229) can reduce 727 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (727) ~ (all_0_32_32 = e4)
% 267.33/208.58 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (1476), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (406) all_0_33_33 = e4
% 267.33/208.58 |
% 267.33/208.58 | Combining equations (418,406) yields a new equation:
% 267.33/208.58 | (480) e4 = e1
% 267.33/208.58 |
% 267.33/208.58 | Equations (480) can reduce 65 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (405) ~ (all_0_33_33 = e4)
% 267.33/208.58 | (723) all_0_34_34 = e4
% 267.33/208.58 |
% 267.33/208.58 | Equations (723) can reduce 1395 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (890) ~ (all_0_28_28 = e4)
% 267.33/208.58 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (1522), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (406) all_0_33_33 = e4
% 267.33/208.58 |
% 267.33/208.58 | Combining equations (418,406) yields a new equation:
% 267.33/208.58 | (480) e4 = e1
% 267.33/208.58 |
% 267.33/208.58 | Equations (480) can reduce 65 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (405) ~ (all_0_33_33 = e4)
% 267.33/208.58 | (1165) all_0_38_38 = e4
% 267.33/208.58 |
% 267.33/208.58 | Equations (1165) can reduce 1143 to:
% 267.33/208.58 | (366) $false
% 267.33/208.58 |
% 267.33/208.58 |-The branch is then unsatisfiable
% 267.33/208.58 |-Branch two:
% 267.33/208.58 | (573) ~ (all_0_16_16 = e4)
% 267.33/208.58 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 267.33/208.58 |
% 267.33/208.58 +-Applying beta-rule and splitting (1518), into two cases.
% 267.33/208.58 |-Branch one:
% 267.33/208.58 | (892) all_0_28_28 = e4
% 267.33/208.58 |
% 267.33/208.58 | Equations (892) can reduce 193 to:
% 267.33/208.58 | (501) ~ (all_0_25_25 = e4)
% 267.33/208.58 |
% 267.33/208.58 | Equations (892) can reduce 46 to:
% 267.33/208.58 | (582) ~ (all_0_26_26 = e4)
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (8), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (464) all_0_15_15 = e4
% 267.33/208.59 |
% 267.33/208.59 | Combining equations (464,483) yields a new equation:
% 267.33/208.59 | (842) e4 = e0
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 842 yields:
% 267.33/208.59 | (490) e4 = e0
% 267.33/208.59 |
% 267.33/208.59 | Equations (490) can reduce 287 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (460) ~ (all_0_15_15 = e4)
% 267.33/208.59 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (914), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (1453) all_0_20_20 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1453) can reduce 496 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (496) ~ (all_0_20_20 = e4)
% 267.33/208.59 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (1456), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (1158) all_0_25_25 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1158) can reduce 501 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (501) ~ (all_0_25_25 = e4)
% 267.33/208.59 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (163), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (701) all_0_16_16 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (701) can reduce 573 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (573) ~ (all_0_16_16 = e4)
% 267.33/208.59 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (6243), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (449) all_0_21_21 = e4
% 267.33/208.59 |
% 267.33/208.59 | Combining equations (449,453) yields a new equation:
% 267.33/208.59 | (690) e4 = e3
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 690 yields:
% 267.33/208.59 | (691) e4 = e3
% 267.33/208.59 |
% 267.33/208.59 | Equations (691) can reduce 277 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (448) ~ (all_0_21_21 = e4)
% 267.33/208.59 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (1460), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (768) all_0_30_30 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (768) can reduce 217 to:
% 267.33/208.59 | (583) ~ (all_0_31_31 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 583 yields:
% 267.33/208.59 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (6248), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (1237) all_0_26_26 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1237) can reduce 582 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (582) ~ (all_0_26_26 = e4)
% 267.33/208.59 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (6263), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (1446) all_0_31_31 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1446) can reduce 584 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.59 | (2611) all_0_36_36 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (2611) can reduce 586 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (509) ~ (all_0_30_30 = e4)
% 267.33/208.59 | (1161) all_0_35_35 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1161) can reduce 514 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (890) ~ (all_0_28_28 = e4)
% 267.33/208.59 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (1522), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (406) all_0_33_33 = e4
% 267.33/208.59 |
% 267.33/208.59 | Combining equations (418,406) yields a new equation:
% 267.33/208.59 | (480) e4 = e1
% 267.33/208.59 |
% 267.33/208.59 | Equations (480) can reduce 65 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (405) ~ (all_0_33_33 = e4)
% 267.33/208.59 | (1165) all_0_38_38 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1165) can reduce 1143 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (576) ~ (all_0_22_22 = e4)
% 267.33/208.59 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (256), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (1453) all_0_20_20 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1453) can reduce 272 to:
% 267.33/208.59 | (577) ~ (all_0_23_23 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 577 yields:
% 267.33/208.59 | (578) ~ (all_0_23_23 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (1453) can reduce 167 to:
% 267.33/208.59 | (579) ~ (all_0_24_24 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 579 yields:
% 267.33/208.59 | (580) ~ (all_0_24_24 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (1453) can reduce 116 to:
% 267.33/208.59 | (3310) ~ (all_0_30_30 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 3310 yields:
% 267.33/208.59 | (509) ~ (all_0_30_30 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (1453) can reduce 249 to:
% 267.33/208.59 | (1159) ~ (all_0_35_35 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 1159 yields:
% 267.33/208.59 | (514) ~ (all_0_35_35 = e4)
% 267.33/208.59 |
% 267.33/208.59 | From (1453) and (124) follows:
% 267.33/208.59 | (26758) op(all_0_16_16, e4) = e3
% 267.33/208.59 |
% 267.33/208.59 | From (1453) and (40) follows:
% 267.33/208.59 | (24624) op(e4, all_0_16_16) = e4
% 267.33/208.59 |
% 267.33/208.59 | From (1453) and (274) follows:
% 267.33/208.59 | (12591) op(e3, e4) = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (1051), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (1515) all_0_23_23 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1515) can reduce 578 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (578) ~ (all_0_23_23 = e4)
% 267.33/208.59 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (1518), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (892) all_0_28_28 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (892) can reduce 300 to:
% 267.33/208.59 | (1046) ~ (all_0_18_18 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (892) can reduce 86 to:
% 267.33/208.59 | (578) ~ (all_0_23_23 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (892) can reduce 421 to:
% 267.33/208.59 | (65) ~ (e4 = e1)
% 267.33/208.59 |
% 267.33/208.59 | From (892) and (315) follows:
% 267.33/208.59 | (2843) op(e4, all_0_32_32) = e1
% 267.33/208.59 |
% 267.33/208.59 | From (892) and (200) follows:
% 267.33/208.59 | (2844) op(all_0_32_32, e4) = e2
% 267.33/208.59 |
% 267.33/208.59 | Instantiating formula (97) with e4, e4, e3, e0 and discharging atoms op(e4, e4) = e0, yields:
% 267.33/208.59 | (26771) e3 = e0 | ~ (op(e4, e4) = e3)
% 267.33/208.59 |
% 267.33/208.59 | Instantiating formula (97) with e2, e4, e3, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 267.33/208.59 | (7465) all_0_25_25 = e3 | ~ (op(e2, e4) = e3)
% 267.33/208.59 |
% 267.33/208.59 | Instantiating formula (97) with e0, e4, e2, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 267.33/208.59 | (8732) all_0_35_35 = e2 | ~ (op(e0, e4) = e2)
% 267.33/208.59 |
% 267.33/208.59 | Instantiating formula (97) with e4, e1, e4, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 267.33/208.59 | (4340) all_0_18_18 = e4 | ~ (op(e4, e1) = e4)
% 267.33/208.59 |
% 267.33/208.59 | Instantiating formula (97) with e4, e0, e1, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 267.33/208.59 | (12253) all_0_19_19 = e1 | ~ (op(e4, e0) = e1)
% 267.33/208.59 |
% 267.33/208.59 | Instantiating formula (97) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, yields:
% 267.33/208.59 | (26776) e4 = e2 | ~ (op(e3, e4) = e2)
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (185), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (1153) all_0_18_18 = e0
% 267.33/208.59 |
% 267.33/208.59 | Equations (1153) can reduce 1156 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (1156) ~ (all_0_18_18 = e0)
% 267.33/208.59 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (59), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (865) all_0_17_17 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (865) can reduce 74 to:
% 267.33/208.59 | (1493) ~ (all_0_18_18 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 1493 yields:
% 267.33/208.59 | (1046) ~ (all_0_18_18 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (865) can reduce 333 to:
% 267.33/208.59 | (6514) ~ (all_0_19_19 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 6514 yields:
% 267.33/208.59 | (714) ~ (all_0_19_19 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (865) can reduce 286 to:
% 267.33/208.59 | (1495) ~ (all_0_32_32 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 1495 yields:
% 267.33/208.59 | (727) ~ (all_0_32_32 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (865) can reduce 459 to:
% 267.33/208.59 | (19) ~ (e4 = e2)
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (327), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (768) all_0_30_30 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (768) can reduce 509 to:
% 267.33/208.59 | (366) $false
% 267.33/208.59 |
% 267.33/208.59 |-The branch is then unsatisfiable
% 267.33/208.59 |-Branch two:
% 267.33/208.59 | (509) ~ (all_0_30_30 = e4)
% 267.33/208.59 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.59 |
% 267.33/208.59 +-Applying beta-rule and splitting (1437), into two cases.
% 267.33/208.59 |-Branch one:
% 267.33/208.59 | (1446) all_0_31_31 = e4
% 267.33/208.59 |
% 267.33/208.59 | Equations (1446) can reduce 10 to:
% 267.33/208.59 | (573) ~ (all_0_16_16 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (1446) can reduce 247 to:
% 267.33/208.59 | (1495) ~ (all_0_32_32 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Simplifying 1495 yields:
% 267.33/208.59 | (727) ~ (all_0_32_32 = e4)
% 267.33/208.59 |
% 267.33/208.59 | Equations (1446) can reduce 510 to:
% 267.33/208.59 | (277) ~ (e4 = e3)
% 267.33/208.59 |
% 267.33/208.59 | Equations (1446) can reduce 423 to:
% 267.33/208.59 | (65) ~ (e4 = e1)
% 267.33/208.59 |
% 267.33/208.59 | From (1446) and (301) follows:
% 267.33/208.60 | (10551) op(e4, all_0_23_23) = e3
% 267.33/208.60 |
% 267.33/208.60 | Instantiating formula (97) with e4, e0, e3, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 267.33/208.60 | (6529) all_0_19_19 = e3 | ~ (op(e4, e0) = e3)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (29), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (476) all_0_15_15 = e1
% 267.33/208.60 |
% 267.33/208.60 | Combining equations (476,483) yields a new equation:
% 267.33/208.60 | (960) e1 = e0
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 960 yields:
% 267.33/208.60 | (961) e1 = e0
% 267.33/208.60 |
% 267.33/208.60 | Equations (961) can reduce 37 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (482) ~ (all_0_15_15 = e1)
% 267.33/208.60 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (269), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (1134) all_0_18_18 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (1134) can reduce 9 to:
% 267.33/208.60 | (458) ~ (all_0_16_16 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Equations (1134) can reduce 337 to:
% 267.33/208.60 | (561) ~ (all_0_19_19 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 561 yields:
% 267.33/208.60 | (562) ~ (all_0_19_19 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Equations (1134) can reduce 142 to:
% 267.33/208.60 | (2070) ~ (all_0_38_38 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 2070 yields:
% 267.33/208.60 | (1080) ~ (all_0_38_38 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Equations (1134) can reduce 1046 to:
% 267.33/208.60 | (695) ~ (e4 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 695 yields:
% 267.33/208.60 | (277) ~ (e4 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Equations (1134) can reduce 419 to:
% 267.33/208.60 | (318) ~ (e3 = e1)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (230), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (927) all_0_19_19 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (927) can reduce 562 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (562) ~ (all_0_19_19 = e3)
% 267.33/208.60 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (114), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (472) all_0_15_15 = e2
% 267.33/208.60 |
% 267.33/208.60 | Combining equations (472,483) yields a new equation:
% 267.33/208.60 | (836) e2 = e0
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 836 yields:
% 267.33/208.60 | (551) e2 = e0
% 267.33/208.60 |
% 267.33/208.60 | Equations (551) can reduce 347 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (447) ~ (all_0_15_15 = e2)
% 267.33/208.60 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.33/208.60 |
% 267.33/208.60 | Equations (483) can reduce 447 to:
% 267.33/208.60 | (393) ~ (e2 = e0)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 393 yields:
% 267.33/208.60 | (347) ~ (e2 = e0)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (164), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (814) all_0_35_35 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (814) can reduce 98 to:
% 267.33/208.60 | (566) ~ (all_0_25_25 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Equations (814) can reduce 121 to:
% 267.33/208.60 | (776) ~ (all_0_37_37 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 776 yields:
% 267.33/208.60 | (777) ~ (all_0_37_37 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Equations (814) can reduce 514 to:
% 267.33/208.60 | (695) ~ (e4 = e3)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 695 yields:
% 267.33/208.60 | (277) ~ (e4 = e3)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (232), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (1970) all_0_17_17 = e3
% 267.33/208.60 |
% 267.33/208.60 | Combining equations (1970,865) yields a new equation:
% 267.33/208.60 | (691) e4 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (691) can reduce 277 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (558) ~ (all_0_17_17 = e3)
% 267.33/208.60 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (168), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (2438) all_0_25_25 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (2438) can reduce 566 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (566) ~ (all_0_25_25 = e3)
% 267.33/208.60 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (162), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (472) all_0_15_15 = e2
% 267.33/208.60 |
% 267.33/208.60 | Combining equations (472,483) yields a new equation:
% 267.33/208.60 | (836) e2 = e0
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 836 yields:
% 267.33/208.60 | (551) e2 = e0
% 267.33/208.60 |
% 267.33/208.60 | Equations (551) can reduce 347 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (447) ~ (all_0_15_15 = e2)
% 267.33/208.60 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (2921), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (736) all_0_20_20 = e2
% 267.33/208.60 |
% 267.33/208.60 | Combining equations (736,1453) yields a new equation:
% 267.33/208.60 | (539) e4 = e2
% 267.33/208.60 |
% 267.33/208.60 | Equations (539) can reduce 19 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (1114) ~ (all_0_20_20 = e2)
% 267.33/208.60 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.33/208.60 |
% 267.33/208.60 | Equations (1453) can reduce 1114 to:
% 267.33/208.60 | (19) ~ (e4 = e2)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (2442), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (2443) all_0_26_26 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (2443) can reduce 504 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (504) ~ (all_0_26_26 = e3)
% 267.33/208.60 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (2448), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (439) all_0_27_27 = e3
% 267.33/208.60 |
% 267.33/208.60 | Combining equations (443,439) yields a new equation:
% 267.33/208.60 | (764) e3 = e2
% 267.33/208.60 |
% 267.33/208.60 | Equations (764) can reduce 56 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (400) ~ (all_0_27_27 = e3)
% 267.33/208.60 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (443) can reduce 400 to:
% 267.33/208.60 | (658) ~ (e3 = e2)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 658 yields:
% 267.33/208.60 | (56) ~ (e3 = e2)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (1973), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (857) all_0_22_22 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (857) can reduce 774 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (774) ~ (all_0_22_22 = e3)
% 267.33/208.60 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (3115), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (439) all_0_27_27 = e3
% 267.33/208.60 |
% 267.33/208.60 | Combining equations (443,439) yields a new equation:
% 267.33/208.60 | (764) e3 = e2
% 267.33/208.60 |
% 267.33/208.60 | Equations (764) can reduce 56 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (400) ~ (all_0_27_27 = e3)
% 267.33/208.60 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (3120), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (772) all_0_32_32 = e3
% 267.33/208.60 |
% 267.33/208.60 | From (772) and (2844) follows:
% 267.33/208.60 | (2984) op(e3, e4) = e2
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (26776), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (2993) ~ (op(e3, e4) = e2)
% 267.33/208.60 |
% 267.33/208.60 | Using (2984) and (2993) yields:
% 267.33/208.60 | (821) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (2984) op(e3, e4) = e2
% 267.33/208.60 | (539) e4 = e2
% 267.33/208.60 |
% 267.33/208.60 | Equations (539) can reduce 19 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (1089) ~ (all_0_32_32 = e3)
% 267.33/208.60 | (1073) all_0_37_37 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (1073) can reduce 777 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (570) ~ (all_0_35_35 = e3)
% 267.33/208.60 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (817), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (818) all_0_36_36 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (818) can reduce 516 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (516) ~ (all_0_36_36 = e3)
% 267.33/208.60 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (1072), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (1073) all_0_37_37 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (1073) can reduce 336 to:
% 267.33/208.60 | (1089) ~ (all_0_32_32 = e3)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (17), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (1498) all_0_17_17 = e1
% 267.33/208.60 |
% 267.33/208.60 | Combining equations (1498,865) yields a new equation:
% 267.33/208.60 | (480) e4 = e1
% 267.33/208.60 |
% 267.33/208.60 | Equations (480) can reduce 65 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (1501) ~ (all_0_17_17 = e1)
% 267.33/208.60 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (261), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (1229) all_0_32_32 = e4
% 267.33/208.60 |
% 267.33/208.60 | Equations (1229) can reduce 727 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (727) ~ (all_0_32_32 = e4)
% 267.33/208.60 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (1502), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (999) all_0_22_22 = e1
% 267.33/208.60 |
% 267.33/208.60 | Equations (999) can reduce 63 to:
% 267.33/208.60 | (4691) ~ (all_0_32_32 = e1)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 4691 yields:
% 267.33/208.60 | (424) ~ (all_0_32_32 = e1)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (1506), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (772) all_0_32_32 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (772) can reduce 1089 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (1089) ~ (all_0_32_32 = e3)
% 267.33/208.60 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (1618), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (1101) all_0_32_32 = e2
% 267.33/208.60 |
% 267.33/208.60 | Equations (1101) can reduce 508 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (508) ~ (all_0_32_32 = e2)
% 267.33/208.60 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (1622), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (1587) all_0_32_32 = e1
% 267.33/208.60 |
% 267.33/208.60 | Equations (1587) can reduce 424 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (424) ~ (all_0_32_32 = e1)
% 267.33/208.60 | (1626) all_0_32_32 = e0
% 267.33/208.60 |
% 267.33/208.60 | From (1626) and (2844) follows:
% 267.33/208.60 | (8911) op(e0, e4) = e2
% 267.33/208.60 |
% 267.33/208.60 | From (1626) and (2843) follows:
% 267.33/208.60 | (4339) op(e4, e0) = e1
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (12253), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (12790) ~ (op(e4, e0) = e1)
% 267.33/208.60 |
% 267.33/208.60 | Using (4339) and (12790) yields:
% 267.33/208.60 | (821) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (4339) op(e4, e0) = e1
% 267.33/208.60 | (716) all_0_19_19 = e1
% 267.33/208.60 |
% 267.33/208.60 | Equations (716) can reduce 236 to:
% 267.33/208.60 | (985) ~ (all_0_16_16 = e1)
% 267.33/208.60 |
% 267.33/208.60 | Equations (716) can reduce 714 to:
% 267.33/208.60 | (477) ~ (e4 = e1)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 477 yields:
% 267.33/208.60 | (65) ~ (e4 = e1)
% 267.33/208.60 |
% 267.33/208.60 | Equations (716) can reduce 562 to:
% 267.33/208.60 | (429) ~ (e3 = e1)
% 267.33/208.60 |
% 267.33/208.60 | Simplifying 429 yields:
% 267.33/208.60 | (318) ~ (e3 = e1)
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (270), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (701) all_0_16_16 = e4
% 267.33/208.60 |
% 267.33/208.60 | Equations (701) can reduce 573 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (573) ~ (all_0_16_16 = e4)
% 267.33/208.60 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (704), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (1287) all_0_16_16 = e3
% 267.33/208.60 |
% 267.33/208.60 | Equations (1287) can reduce 458 to:
% 267.33/208.60 | (366) $false
% 267.33/208.60 |
% 267.33/208.60 |-The branch is then unsatisfiable
% 267.33/208.60 |-Branch two:
% 267.33/208.60 | (458) ~ (all_0_16_16 = e3)
% 267.33/208.60 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 267.33/208.60 |
% 267.33/208.60 +-Applying beta-rule and splitting (1290), into two cases.
% 267.33/208.60 |-Branch one:
% 267.33/208.60 | (697) all_0_16_16 = e2
% 267.33/208.60 |
% 267.33/208.60 | Equations (697) can reduce 985 to:
% 267.33/208.60 | (329) ~ (e2 = e1)
% 267.33/208.60 |
% 267.33/208.60 | From (697) and (26758) follows:
% 267.33/208.61 | (7783) op(e2, e4) = e3
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (7465), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (7790) ~ (op(e2, e4) = e3)
% 267.33/208.61 |
% 267.33/208.61 | Using (7783) and (7790) yields:
% 267.33/208.61 | (821) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (7783) op(e2, e4) = e3
% 267.33/208.61 | (2438) all_0_25_25 = e3
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (937), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (1175) all_0_20_20 = e1
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (1175,1453) yields a new equation:
% 267.33/208.61 | (480) e4 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (480) can reduce 65 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (1409) ~ (all_0_20_20 = e1)
% 267.33/208.61 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1656), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (950) all_0_25_25 = e1
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (2438,950) yields a new equation:
% 267.33/208.61 | (933) e3 = e1
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 933 yields:
% 267.33/208.61 | (706) e3 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (706) can reduce 318 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (946) ~ (all_0_25_25 = e1)
% 267.33/208.61 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1676), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (787) all_0_30_30 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (787) can reduce 422 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (422) ~ (all_0_30_30 = e1)
% 267.33/208.61 | (1196) all_0_35_35 = e1
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (214), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (797) all_0_35_35 = e2
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (797,1196) yields a new equation:
% 267.33/208.61 | (717) e2 = e1
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 717 yields:
% 267.33/208.61 | (718) e2 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (718) can reduce 329 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (742) ~ (all_0_35_35 = e2)
% 267.33/208.61 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.33/208.61 |
% 267.33/208.61 | Equations (1196) can reduce 742 to:
% 267.33/208.61 | (1002) ~ (e2 = e1)
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 1002 yields:
% 267.33/208.61 | (329) ~ (e2 = e1)
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (8732), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (8912) ~ (op(e0, e4) = e2)
% 267.33/208.61 |
% 267.33/208.61 | Using (8911) and (8912) yields:
% 267.33/208.61 | (821) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (8911) op(e0, e4) = e2
% 267.33/208.61 | (797) all_0_35_35 = e2
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (797,1196) yields a new equation:
% 267.33/208.61 | (717) e2 = e1
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 717 yields:
% 267.33/208.61 | (718) e2 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (718) can reduce 329 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (664) ~ (all_0_16_16 = e2)
% 267.33/208.61 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1377), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (921) all_0_16_16 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (921) can reduce 985 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (985) ~ (all_0_16_16 = e1)
% 267.33/208.61 | (873) all_0_16_16 = e0
% 267.33/208.61 |
% 267.33/208.61 | Equations (873) can reduce 824 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (1018) ~ (all_0_22_22 = e1)
% 267.33/208.61 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1566), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (543) all_0_27_27 = e1
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (443,543) yields a new equation:
% 267.33/208.61 | (717) e2 = e1
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 717 yields:
% 267.33/208.61 | (718) e2 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (718) can reduce 329 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (402) ~ (all_0_27_27 = e1)
% 267.33/208.61 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1586), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (1587) all_0_32_32 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (1587) can reduce 424 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (424) ~ (all_0_32_32 = e1)
% 267.33/208.61 | (1590) all_0_37_37 = e1
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (1073,1590) yields a new equation:
% 267.33/208.61 | (933) e3 = e1
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 933 yields:
% 267.33/208.61 | (706) e3 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (706) can reduce 318 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (777) ~ (all_0_37_37 = e3)
% 267.33/208.61 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1076), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (1077) all_0_38_38 = e3
% 267.33/208.61 |
% 267.33/208.61 | Equations (1077) can reduce 1080 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (1080) ~ (all_0_38_38 = e3)
% 267.33/208.61 | (369) all_0_39_39 = e3
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (365,369) yields a new equation:
% 267.33/208.61 | (690) e4 = e3
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 690 yields:
% 267.33/208.61 | (691) e4 = e3
% 267.33/208.61 |
% 267.33/208.61 | Equations (691) can reduce 277 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (560) ~ (all_0_18_18 = e3)
% 267.33/208.61 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1047), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (1134) all_0_18_18 = e3
% 267.33/208.61 |
% 267.33/208.61 | Equations (1134) can reduce 560 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (560) ~ (all_0_18_18 = e3)
% 267.33/208.61 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1137), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (978) all_0_23_23 = e3
% 267.33/208.61 |
% 267.33/208.61 | Equations (978) can reduce 982 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (982) ~ (all_0_23_23 = e3)
% 267.33/208.61 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1270), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (1274) all_0_18_18 = e2
% 267.33/208.61 |
% 267.33/208.61 | Equations (1274) can reduce 110 to:
% 267.33/208.61 | (7279) ~ (all_0_23_23 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 7279 yields:
% 267.33/208.61 | (810) ~ (all_0_23_23 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Equations (1274) can reduce 142 to:
% 267.33/208.61 | (1130) ~ (all_0_38_38 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 1130 yields:
% 267.33/208.61 | (1084) ~ (all_0_38_38 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Equations (1274) can reduce 1046 to:
% 267.33/208.61 | (444) ~ (e4 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 444 yields:
% 267.33/208.61 | (19) ~ (e4 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Equations (1274) can reduce 419 to:
% 267.33/208.61 | (329) ~ (e2 = e1)
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (51), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (736) all_0_20_20 = e2
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (736,1453) yields a new equation:
% 267.33/208.61 | (539) e4 = e2
% 267.33/208.61 |
% 267.33/208.61 | Equations (539) can reduce 19 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (1114) ~ (all_0_20_20 = e2)
% 267.33/208.61 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (3084), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (896) all_0_28_28 = e3
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (892,896) yields a new equation:
% 267.33/208.61 | (690) e4 = e3
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 690 yields:
% 267.33/208.61 | (691) e4 = e3
% 267.33/208.61 |
% 267.33/208.61 | Equations (691) can reduce 277 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (1035) ~ (all_0_28_28 = e3)
% 267.33/208.61 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (137), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (1515) all_0_23_23 = e4
% 267.33/208.61 |
% 267.33/208.61 | Equations (1515) can reduce 578 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (578) ~ (all_0_23_23 = e4)
% 267.33/208.61 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (3089), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (410) all_0_33_33 = e3
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (410,418) yields a new equation:
% 267.33/208.61 | (933) e3 = e1
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 933 yields:
% 267.33/208.61 | (706) e3 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (706) can reduce 318 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (403) ~ (all_0_33_33 = e3)
% 267.33/208.61 | (1077) all_0_38_38 = e3
% 267.33/208.61 |
% 267.33/208.61 | Equations (1077) can reduce 39 to:
% 267.33/208.61 | (982) ~ (all_0_23_23 = e3)
% 267.33/208.61 |
% 267.33/208.61 | Equations (1077) can reduce 1084 to:
% 267.33/208.61 | (56) ~ (e3 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Equations (1077) can reduce 428 to:
% 267.33/208.61 | (318) ~ (e3 = e1)
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1115), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (522) all_0_21_21 = e2
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (453,522) yields a new equation:
% 267.33/208.61 | (3874) e3 = e2
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 3874 yields:
% 267.33/208.61 | (764) e3 = e2
% 267.33/208.61 |
% 267.33/208.61 | Equations (764) can reduce 56 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (361) ~ (all_0_21_21 = e2)
% 267.33/208.61 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1121), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (917) all_0_22_22 = e2
% 267.33/208.61 |
% 267.33/208.61 | Equations (917) can reduce 493 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (493) ~ (all_0_22_22 = e2)
% 267.33/208.61 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1125), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (1126) all_0_23_23 = e2
% 267.33/208.61 |
% 267.33/208.61 | Equations (1126) can reduce 810 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (810) ~ (all_0_23_23 = e2)
% 267.33/208.61 | (1393) all_0_24_24 = e2
% 267.33/208.61 |
% 267.33/208.61 | Equations (1393) can reduce 118 to:
% 267.33/208.61 | (810) ~ (all_0_23_23 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Equations (1393) can reduce 580 to:
% 267.33/208.61 | (444) ~ (e4 = e2)
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 444 yields:
% 267.33/208.61 | (19) ~ (e4 = e2)
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (1157), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (851) all_0_23_23 = e0
% 267.33/208.61 |
% 267.33/208.61 | Equations (851) can reduce 420 to:
% 267.33/208.61 | (395) ~ (e1 = e0)
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 395 yields:
% 267.33/208.61 | (37) ~ (e1 = e0)
% 267.33/208.61 |
% 267.33/208.61 | From (851) and (10551) follows:
% 267.33/208.61 | (7131) op(e4, e0) = e3
% 267.33/208.61 |
% 267.33/208.61 +-Applying beta-rule and splitting (308), into two cases.
% 267.33/208.61 |-Branch one:
% 267.33/208.61 | (1175) all_0_20_20 = e1
% 267.33/208.61 |
% 267.33/208.61 | Combining equations (1453,1175) yields a new equation:
% 267.33/208.61 | (955) e4 = e1
% 267.33/208.61 |
% 267.33/208.61 | Simplifying 955 yields:
% 267.33/208.61 | (480) e4 = e1
% 267.33/208.61 |
% 267.33/208.61 | Equations (480) can reduce 65 to:
% 267.33/208.61 | (366) $false
% 267.33/208.61 |
% 267.33/208.61 |-The branch is then unsatisfiable
% 267.33/208.61 |-Branch two:
% 267.33/208.61 | (1409) ~ (all_0_20_20 = e1)
% 267.33/208.61 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.33/208.61 |
% 267.33/208.62 | Equations (1453) can reduce 1409 to:
% 267.33/208.62 | (65) ~ (e4 = e1)
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (6529), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (7132) ~ (op(e4, e0) = e3)
% 267.33/208.62 |
% 267.33/208.62 | Using (7131) and (7132) yields:
% 267.33/208.62 | (821) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (7131) op(e4, e0) = e3
% 267.33/208.62 | (927) all_0_19_19 = e3
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (323), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (476) all_0_15_15 = e1
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (483,476) yields a new equation:
% 267.33/208.62 | (961) e1 = e0
% 267.33/208.62 |
% 267.33/208.62 | Equations (961) can reduce 37 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (482) ~ (all_0_15_15 = e1)
% 267.33/208.62 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (709), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (921) all_0_16_16 = e1
% 267.33/208.62 |
% 267.33/208.62 | From (921) and (24624) follows:
% 267.33/208.62 | (1807) op(e4, e1) = e4
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (4340), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (4863) ~ (op(e4, e1) = e4)
% 267.33/208.62 |
% 267.33/208.62 | Using (1807) and (4863) yields:
% 267.33/208.62 | (821) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (1807) op(e4, e1) = e4
% 267.33/208.62 | (887) all_0_18_18 = e4
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (1274,887) yields a new equation:
% 267.33/208.62 | (539) e4 = e2
% 267.33/208.62 |
% 267.33/208.62 | Equations (539) can reduce 19 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (985) ~ (all_0_16_16 = e1)
% 267.33/208.62 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (32), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (716) all_0_19_19 = e1
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (927,716) yields a new equation:
% 267.33/208.62 | (933) e3 = e1
% 267.33/208.62 |
% 267.33/208.62 | Simplifying 933 yields:
% 267.33/208.62 | (706) e3 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (706) can reduce 318 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (720) ~ (all_0_19_19 = e1)
% 267.33/208.62 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (927) can reduce 720 to:
% 267.33/208.62 | (318) ~ (e3 = e1)
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (1373), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (1498) all_0_17_17 = e1
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (1498,865) yields a new equation:
% 267.33/208.62 | (480) e4 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (480) can reduce 65 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (1501) ~ (all_0_17_17 = e1)
% 267.33/208.62 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (1681), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (1278) all_0_18_18 = e1
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (1274,1278) yields a new equation:
% 267.33/208.62 | (717) e2 = e1
% 267.33/208.62 |
% 267.33/208.62 | Simplifying 717 yields:
% 267.33/208.62 | (718) e2 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (718) can reduce 329 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (419) ~ (all_0_18_18 = e1)
% 267.33/208.62 | (716) all_0_19_19 = e1
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (927,716) yields a new equation:
% 267.33/208.62 | (933) e3 = e1
% 267.33/208.62 |
% 267.33/208.62 | Simplifying 933 yields:
% 267.33/208.62 | (706) e3 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (706) can reduce 318 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (1068) ~ (all_0_23_23 = e0)
% 267.33/208.62 | (1228) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (308), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (1175) all_0_20_20 = e1
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (1175,1453) yields a new equation:
% 267.33/208.62 | (480) e4 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (480) can reduce 65 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (1409) ~ (all_0_20_20 = e1)
% 267.33/208.62 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (4682), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (526) all_0_21_21 = e1
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (453,526) yields a new equation:
% 267.33/208.62 | (933) e3 = e1
% 267.33/208.62 |
% 267.33/208.62 | Simplifying 933 yields:
% 267.33/208.62 | (706) e3 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (706) can reduce 318 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (363) ~ (all_0_21_21 = e1)
% 267.33/208.62 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (3943), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (978) all_0_23_23 = e3
% 267.33/208.62 |
% 267.33/208.62 | Equations (978) can reduce 982 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (982) ~ (all_0_23_23 = e3)
% 267.33/208.62 | (3947) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (4688), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (999) all_0_22_22 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (999) can reduce 346 to:
% 267.33/208.62 | (3684) ~ (all_0_23_23 = e1)
% 267.33/208.62 |
% 267.33/208.62 | Simplifying 3684 yields:
% 267.33/208.62 | (420) ~ (all_0_23_23 = e1)
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (3947), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (1126) all_0_23_23 = e2
% 267.33/208.62 |
% 267.33/208.62 | Equations (1126) can reduce 810 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (810) ~ (all_0_23_23 = e2)
% 267.33/208.62 | (3951) all_0_23_23 = e1 | all_0_23_23 = e0
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (3951), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (3952) all_0_23_23 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (3952) can reduce 420 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (420) ~ (all_0_23_23 = e1)
% 267.33/208.62 | (851) all_0_23_23 = e0
% 267.33/208.62 |
% 267.33/208.62 | Equations (851) can reduce 1068 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (1018) ~ (all_0_22_22 = e1)
% 267.33/208.62 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (5033), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (3952) all_0_23_23 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (3952) can reduce 420 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (420) ~ (all_0_23_23 = e1)
% 267.33/208.62 | (940) all_0_24_24 = e1
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (1393,940) yields a new equation:
% 267.33/208.62 | (717) e2 = e1
% 267.33/208.62 |
% 267.33/208.62 | Simplifying 717 yields:
% 267.33/208.62 | (718) e2 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (718) can reduce 329 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (666) ~ (all_0_18_18 = e2)
% 267.33/208.62 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (1277), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (1278) all_0_18_18 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (1278) can reduce 419 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (419) ~ (all_0_18_18 = e1)
% 267.33/208.62 | (1153) all_0_18_18 = e0
% 267.33/208.62 |
% 267.33/208.62 | Equations (1153) can reduce 1156 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.62 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (1449), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (1229) all_0_32_32 = e4
% 267.33/208.62 |
% 267.33/208.62 | Equations (1229) can reduce 727 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (727) ~ (all_0_32_32 = e4)
% 267.33/208.62 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (1476), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (406) all_0_33_33 = e4
% 267.33/208.62 |
% 267.33/208.62 | Combining equations (418,406) yields a new equation:
% 267.33/208.62 | (480) e4 = e1
% 267.33/208.62 |
% 267.33/208.62 | Equations (480) can reduce 65 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (405) ~ (all_0_33_33 = e4)
% 267.33/208.62 | (723) all_0_34_34 = e4
% 267.33/208.62 |
% 267.33/208.62 | Equations (723) can reduce 1395 to:
% 267.33/208.62 | (366) $false
% 267.33/208.62 |
% 267.33/208.62 |-The branch is then unsatisfiable
% 267.33/208.62 |-Branch two:
% 267.33/208.62 | (869) ~ (all_0_17_17 = e4)
% 267.33/208.62 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (694), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (701) all_0_16_16 = e4
% 267.33/208.62 |
% 267.33/208.62 | From (701) and (26758) follows:
% 267.33/208.62 | (533) op(e4, e4) = e3
% 267.33/208.62 |
% 267.33/208.62 +-Applying beta-rule and splitting (26771), into two cases.
% 267.33/208.62 |-Branch one:
% 267.33/208.62 | (7213) ~ (op(e4, e4) = e3)
% 267.33/208.62 |
% 267.33/208.62 | Using (533) and (7213) yields:
% 267.33/208.63 | (821) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (533) op(e4, e4) = e3
% 267.33/208.63 | (980) e3 = e0
% 267.33/208.63 |
% 267.33/208.63 | Equations (980) can reduce 88 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (573) ~ (all_0_16_16 = e4)
% 267.33/208.63 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (864), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (865) all_0_17_17 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (865) can reduce 869 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (869) ~ (all_0_17_17 = e4)
% 267.33/208.63 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (870), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (887) all_0_18_18 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (887) can reduce 1046 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (1046) ~ (all_0_18_18 = e4)
% 267.33/208.63 | (711) all_0_19_19 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (711) can reduce 714 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (890) ~ (all_0_28_28 = e4)
% 267.33/208.63 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (1522), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (406) all_0_33_33 = e4
% 267.33/208.63 |
% 267.33/208.63 | Combining equations (418,406) yields a new equation:
% 267.33/208.63 | (480) e4 = e1
% 267.33/208.63 |
% 267.33/208.63 | Equations (480) can reduce 65 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (405) ~ (all_0_33_33 = e4)
% 267.33/208.63 | (1165) all_0_38_38 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (1165) can reduce 1143 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (496) ~ (all_0_20_20 = e4)
% 267.33/208.63 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (7219), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (449) all_0_21_21 = e4
% 267.33/208.63 |
% 267.33/208.63 | Combining equations (449,453) yields a new equation:
% 267.33/208.63 | (690) e4 = e3
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 690 yields:
% 267.33/208.63 | (691) e4 = e3
% 267.33/208.63 |
% 267.33/208.63 | Equations (691) can reduce 277 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (448) ~ (all_0_21_21 = e4)
% 267.33/208.63 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (7224), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (831) all_0_22_22 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (831) can reduce 576 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (576) ~ (all_0_22_22 = e4)
% 267.33/208.63 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (7426), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (1515) all_0_23_23 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (1515) can reduce 110 to:
% 267.33/208.63 | (1046) ~ (all_0_18_18 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1515) can reduce 272 to:
% 267.33/208.63 | (496) ~ (all_0_20_20 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1515) can reduce 86 to:
% 267.33/208.63 | (889) ~ (all_0_28_28 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 889 yields:
% 267.33/208.63 | (890) ~ (all_0_28_28 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1515) can reduce 39 to:
% 267.33/208.63 | (1142) ~ (all_0_38_38 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 1142 yields:
% 267.33/208.63 | (1143) ~ (all_0_38_38 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1515) can reduce 982 to:
% 267.33/208.63 | (277) ~ (e4 = e3)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1515) can reduce 420 to:
% 267.33/208.63 | (65) ~ (e4 = e1)
% 267.33/208.63 |
% 267.33/208.63 | From (1515) and (25) follows:
% 267.33/208.63 | (10423) op(e4, all_0_31_31) = e1
% 267.33/208.63 |
% 267.33/208.63 | From (1515) and (301) follows:
% 267.33/208.63 | (11561) op(all_0_31_31, e4) = e3
% 267.33/208.63 |
% 267.33/208.63 | Instantiating formula (97) with e4, e4, e3, e0 and discharging atoms op(e4, e4) = e0, yields:
% 267.33/208.63 | (26771) e3 = e0 | ~ (op(e4, e4) = e3)
% 267.33/208.63 |
% 267.33/208.63 | Instantiating formula (97) with e0, e4, e3, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 267.33/208.63 | (5591) all_0_35_35 = e3 | ~ (op(e0, e4) = e3)
% 267.33/208.63 |
% 267.33/208.63 | Instantiating formula (97) with e4, e4, e1, e0 and discharging atoms op(e4, e4) = e0, yields:
% 267.33/208.63 | (27224) e1 = e0 | ~ (op(e4, e4) = e1)
% 267.33/208.63 |
% 267.33/208.63 | Instantiating formula (97) with e4, e0, e1, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 267.33/208.63 | (12253) all_0_19_19 = e1 | ~ (op(e4, e0) = e1)
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (285), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (1158) all_0_25_25 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (1158) can reduce 128 to:
% 267.33/208.63 | (581) ~ (all_0_26_26 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 581 yields:
% 267.33/208.63 | (582) ~ (all_0_26_26 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1158) can reduce 193 to:
% 267.33/208.63 | (889) ~ (all_0_28_28 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 889 yields:
% 267.33/208.63 | (890) ~ (all_0_28_28 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1158) can reduce 62 to:
% 267.33/208.63 | (2797) ~ (all_0_29_29 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 2797 yields:
% 267.33/208.63 | (724) ~ (all_0_29_29 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1158) can reduce 58 to:
% 267.33/208.63 | (3310) ~ (all_0_30_30 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 3310 yields:
% 267.33/208.63 | (509) ~ (all_0_30_30 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1158) can reduce 98 to:
% 267.33/208.63 | (1159) ~ (all_0_35_35 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 1159 yields:
% 267.33/208.63 | (514) ~ (all_0_35_35 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1158) can reduce 646 to:
% 267.33/208.63 | (19) ~ (e4 = e2)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1158) can reduce 1925 to:
% 267.33/208.63 | (287) ~ (e4 = e0)
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (29), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (476) all_0_15_15 = e1
% 267.33/208.63 |
% 267.33/208.63 | Combining equations (476,483) yields a new equation:
% 267.33/208.63 | (960) e1 = e0
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 960 yields:
% 267.33/208.63 | (961) e1 = e0
% 267.33/208.63 |
% 267.33/208.63 | Equations (961) can reduce 37 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (482) ~ (all_0_15_15 = e1)
% 267.33/208.63 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.33/208.63 |
% 267.33/208.63 | Equations (483) can reduce 482 to:
% 267.33/208.63 | (395) ~ (e1 = e0)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 395 yields:
% 267.33/208.63 | (37) ~ (e1 = e0)
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (126), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (950) all_0_25_25 = e1
% 267.33/208.63 |
% 267.33/208.63 | Combining equations (1158,950) yields a new equation:
% 267.33/208.63 | (955) e4 = e1
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 955 yields:
% 267.33/208.63 | (480) e4 = e1
% 267.33/208.63 |
% 267.33/208.63 | Equations (480) can reduce 65 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (946) ~ (all_0_25_25 = e1)
% 267.33/208.63 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 267.33/208.63 |
% 267.33/208.63 | Equations (1158) can reduce 946 to:
% 267.33/208.63 | (65) ~ (e4 = e1)
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (239), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (768) all_0_30_30 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (768) can reduce 509 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (509) ~ (all_0_30_30 = e4)
% 267.33/208.63 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (309), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (1274) all_0_18_18 = e2
% 267.33/208.63 |
% 267.33/208.63 | Equations (1274) can reduce 142 to:
% 267.33/208.63 | (1130) ~ (all_0_38_38 = e2)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 1130 yields:
% 267.33/208.63 | (1084) ~ (all_0_38_38 = e2)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1274) can reduce 419 to:
% 267.33/208.63 | (329) ~ (e2 = e1)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1274) can reduce 1156 to:
% 267.33/208.63 | (347) ~ (e2 = e0)
% 267.33/208.63 |
% 267.33/208.63 | From (1274) and (290) follows:
% 267.33/208.63 | (27263) op(all_0_30_30, e2) = e4
% 267.33/208.63 |
% 267.33/208.63 | From (1274) and (61) follows:
% 267.33/208.63 | (1997) op(e4, e1) = e2
% 267.33/208.63 |
% 267.33/208.63 | Instantiating formula (97) with e2, e2, e4, e2 and discharging atoms op(e2, e2) = e2, yields:
% 267.33/208.63 | (1745) e4 = e2 | ~ (op(e2, e2) = e4)
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (182), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (1237) all_0_26_26 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (1237) can reduce 582 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (582) ~ (all_0_26_26 = e4)
% 267.33/208.63 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (269), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (1134) all_0_18_18 = e3
% 267.33/208.63 |
% 267.33/208.63 | Combining equations (1274,1134) yields a new equation:
% 267.33/208.63 | (764) e3 = e2
% 267.33/208.63 |
% 267.33/208.63 | Equations (764) can reduce 56 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (560) ~ (all_0_18_18 = e3)
% 267.33/208.63 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.33/208.63 |
% 267.33/208.63 | Equations (1274) can reduce 560 to:
% 267.33/208.63 | (658) ~ (e3 = e2)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 658 yields:
% 267.33/208.63 | (56) ~ (e3 = e2)
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (163), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (701) all_0_16_16 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (701) can reduce 10 to:
% 267.33/208.63 | (583) ~ (all_0_31_31 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Simplifying 583 yields:
% 267.33/208.63 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (701) can reduce 824 to:
% 267.33/208.63 | (287) ~ (e4 = e0)
% 267.33/208.63 |
% 267.33/208.63 | From (701) and (124) follows:
% 267.33/208.63 | (6524) op(e4, all_0_20_20) = e3
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (327), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (768) all_0_30_30 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (768) can reduce 509 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (509) ~ (all_0_30_30 = e4)
% 267.33/208.63 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (1437), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (1446) all_0_31_31 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (1446) can reduce 584 to:
% 267.33/208.63 | (366) $false
% 267.33/208.63 |
% 267.33/208.63 |-The branch is then unsatisfiable
% 267.33/208.63 |-Branch two:
% 267.33/208.63 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.63 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.63 |
% 267.33/208.63 +-Applying beta-rule and splitting (1449), into two cases.
% 267.33/208.63 |-Branch one:
% 267.33/208.63 | (1229) all_0_32_32 = e4
% 267.33/208.63 |
% 267.33/208.63 | Equations (1229) can reduce 186 to:
% 267.33/208.63 | (509) ~ (all_0_30_30 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1229) can reduce 247 to:
% 267.33/208.63 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1229) can reduce 508 to:
% 267.33/208.63 | (19) ~ (e4 = e2)
% 267.33/208.63 |
% 267.33/208.63 | Equations (1229) can reduce 424 to:
% 267.33/208.63 | (65) ~ (e4 = e1)
% 267.33/208.63 |
% 267.33/208.63 | Instantiating formula (97) with e4, e1, e3, e2 and discharging atoms op(e4, e1) = e2, yields:
% 267.33/208.64 | (27295) e3 = e2 | ~ (op(e4, e1) = e3)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (72), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (468) all_0_15_15 = e3
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (468,483) yields a new equation:
% 267.33/208.64 | (979) e3 = e0
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 979 yields:
% 267.33/208.64 | (980) e3 = e0
% 267.33/208.64 |
% 267.33/208.64 | Equations (980) can reduce 88 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (433) ~ (all_0_15_15 = e3)
% 267.33/208.64 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.33/208.64 |
% 267.33/208.64 | Equations (483) can reduce 433 to:
% 267.33/208.64 | (391) ~ (e3 = e0)
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 391 yields:
% 267.33/208.64 | (88) ~ (e3 = e0)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (111), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (468) all_0_15_15 = e3
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (468,483) yields a new equation:
% 267.33/208.64 | (979) e3 = e0
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 979 yields:
% 267.33/208.64 | (980) e3 = e0
% 267.33/208.64 |
% 267.33/208.64 | Equations (980) can reduce 88 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (433) ~ (all_0_15_15 = e3)
% 267.33/208.64 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 267.33/208.64 |
% 267.33/208.64 | Equations (483) can reduce 433 to:
% 267.33/208.64 | (391) ~ (e3 = e0)
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 391 yields:
% 267.33/208.64 | (88) ~ (e3 = e0)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (228), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (921) all_0_16_16 = e1
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (921,701) yields a new equation:
% 267.33/208.64 | (480) e4 = e1
% 267.33/208.64 |
% 267.33/208.64 | Equations (480) can reduce 65 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (985) ~ (all_0_16_16 = e1)
% 267.33/208.64 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 267.33/208.64 |
% 267.33/208.64 | Equations (701) can reduce 985 to:
% 267.33/208.64 | (65) ~ (e4 = e1)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (214), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (797) all_0_35_35 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (797) can reduce 249 to:
% 267.33/208.64 | (1114) ~ (all_0_20_20 = e2)
% 267.33/208.64 |
% 267.33/208.64 | Equations (797) can reduce 514 to:
% 267.33/208.64 | (444) ~ (e4 = e2)
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 444 yields:
% 267.33/208.64 | (19) ~ (e4 = e2)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (340), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (697) all_0_16_16 = e2
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (697,701) yields a new equation:
% 267.33/208.64 | (539) e4 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (539) can reduce 19 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (664) ~ (all_0_16_16 = e2)
% 267.33/208.64 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (701) can reduce 664 to:
% 267.33/208.64 | (19) ~ (e4 = e2)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (51), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (736) all_0_20_20 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (736) can reduce 1114 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (1114) ~ (all_0_20_20 = e2)
% 267.33/208.64 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (700), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (522) all_0_21_21 = e2
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (522,453) yields a new equation:
% 267.33/208.64 | (764) e3 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (764) can reduce 56 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (361) ~ (all_0_21_21 = e2)
% 267.33/208.64 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (453) can reduce 361 to:
% 267.33/208.64 | (56) ~ (e3 = e2)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (1115), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (522) all_0_21_21 = e2
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (522,453) yields a new equation:
% 267.33/208.64 | (764) e3 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (764) can reduce 56 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (361) ~ (all_0_21_21 = e2)
% 267.33/208.64 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (1121), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (917) all_0_22_22 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (917) can reduce 493 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (493) ~ (all_0_22_22 = e2)
% 267.33/208.64 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (1125), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (1126) all_0_23_23 = e2
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (1515,1126) yields a new equation:
% 267.33/208.64 | (1111) e4 = e2
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 1111 yields:
% 267.33/208.64 | (539) e4 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (539) can reduce 19 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (810) ~ (all_0_23_23 = e2)
% 267.33/208.64 | (1393) all_0_24_24 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (1393) can reduce 963 to:
% 267.33/208.64 | (658) ~ (e3 = e2)
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 658 yields:
% 267.33/208.64 | (56) ~ (e3 = e2)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (937), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (1175) all_0_20_20 = e1
% 267.33/208.64 |
% 267.33/208.64 | From (1175) and (6524) follows:
% 267.33/208.64 | (7889) op(e4, e1) = e3
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (27295), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (7894) ~ (op(e4, e1) = e3)
% 267.33/208.64 |
% 267.33/208.64 | Using (7889) and (7894) yields:
% 267.33/208.64 | (821) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (7889) op(e4, e1) = e3
% 267.33/208.64 | (764) e3 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (764) can reduce 56 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (1409) ~ (all_0_20_20 = e1)
% 267.33/208.64 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (1656), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (950) all_0_25_25 = e1
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (950,1158) yields a new equation:
% 267.33/208.64 | (480) e4 = e1
% 267.33/208.64 |
% 267.33/208.64 | Equations (480) can reduce 65 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (946) ~ (all_0_25_25 = e1)
% 267.33/208.64 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (1676), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (787) all_0_30_30 = e1
% 267.33/208.64 |
% 267.33/208.64 | Equations (787) can reduce 422 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (422) ~ (all_0_30_30 = e1)
% 267.33/208.64 | (1196) all_0_35_35 = e1
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (797,1196) yields a new equation:
% 267.33/208.64 | (717) e2 = e1
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 717 yields:
% 267.33/208.64 | (718) e2 = e1
% 267.33/208.64 |
% 267.33/208.64 | Equations (718) can reduce 329 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (742) ~ (all_0_35_35 = e2)
% 267.33/208.64 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (800), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (801) all_0_36_36 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (801) can reduce 7 to:
% 267.33/208.64 | (1099) ~ (all_0_31_31 = e2)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (115), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (1446) all_0_31_31 = e4
% 267.33/208.64 |
% 267.33/208.64 | Equations (1446) can reduce 584 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.64 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (986), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (526) all_0_21_21 = e1
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (526,453) yields a new equation:
% 267.33/208.64 | (706) e3 = e1
% 267.33/208.64 |
% 267.33/208.64 | Equations (706) can reduce 318 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (363) ~ (all_0_21_21 = e1)
% 267.33/208.64 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (1631), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (763) all_0_31_31 = e3
% 267.33/208.64 |
% 267.33/208.64 | Equations (763) can reduce 510 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (510) ~ (all_0_31_31 = e3)
% 267.33/208.64 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (998), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (1005) all_0_26_26 = e1
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (279), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (873) all_0_16_16 = e0
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (873,701) yields a new equation:
% 267.33/208.64 | (490) e4 = e0
% 267.33/208.64 |
% 267.33/208.64 | Equations (490) can reduce 287 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (824) ~ (all_0_16_16 = e0)
% 267.33/208.64 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (876), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (529) all_0_21_21 = e0
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (529,453) yields a new equation:
% 267.33/208.64 | (980) e3 = e0
% 267.33/208.64 |
% 267.33/208.64 | Equations (980) can reduce 88 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (398) ~ (all_0_21_21 = e0)
% 267.33/208.64 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (882), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (883) all_0_26_26 = e0
% 267.33/208.64 |
% 267.33/208.64 | Combining equations (883,1005) yields a new equation:
% 267.33/208.64 | (961) e1 = e0
% 267.33/208.64 |
% 267.33/208.64 | Equations (961) can reduce 37 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (1058) ~ (all_0_26_26 = e0)
% 267.33/208.64 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (1059), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (1060) all_0_31_31 = e0
% 267.33/208.64 |
% 267.33/208.64 | Equations (1060) can reduce 217 to:
% 267.33/208.64 | (1878) ~ (all_0_30_30 = e0)
% 267.33/208.64 |
% 267.33/208.64 | From (1060) and (11561) follows:
% 267.33/208.64 | (5803) op(e0, e4) = e3
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (5591), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (5811) ~ (op(e0, e4) = e3)
% 267.33/208.64 |
% 267.33/208.64 | Using (5803) and (5811) yields:
% 267.33/208.64 | (821) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (5803) op(e0, e4) = e3
% 267.33/208.64 | (814) all_0_35_35 = e3
% 267.33/208.64 |
% 267.33/208.64 | Equations (814) can reduce 96 to:
% 267.33/208.64 | (568) ~ (all_0_30_30 = e3)
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (155), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (759) all_0_30_30 = e3
% 267.33/208.64 |
% 267.33/208.64 | Equations (759) can reduce 568 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (568) ~ (all_0_30_30 = e3)
% 267.33/208.64 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (771), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (759) all_0_30_30 = e3
% 267.33/208.64 |
% 267.33/208.64 | Equations (759) can reduce 568 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (568) ~ (all_0_30_30 = e3)
% 267.33/208.64 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (782), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (747) all_0_30_30 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (747) can reduce 509 to:
% 267.33/208.64 | (444) ~ (e4 = e2)
% 267.33/208.64 |
% 267.33/208.64 | Simplifying 444 yields:
% 267.33/208.64 | (19) ~ (e4 = e2)
% 267.33/208.64 |
% 267.33/208.64 | From (747) and (27263) follows:
% 267.33/208.64 | (538) op(e2, e2) = e4
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (1745), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (2364) ~ (op(e2, e2) = e4)
% 267.33/208.64 |
% 267.33/208.64 | Using (538) and (2364) yields:
% 267.33/208.64 | (821) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (538) op(e2, e2) = e4
% 267.33/208.64 | (539) e4 = e2
% 267.33/208.64 |
% 267.33/208.64 | Equations (539) can reduce 19 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (740) ~ (all_0_30_30 = e2)
% 267.33/208.64 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 267.33/208.64 |
% 267.33/208.64 +-Applying beta-rule and splitting (786), into two cases.
% 267.33/208.64 |-Branch one:
% 267.33/208.64 | (787) all_0_30_30 = e1
% 267.33/208.64 |
% 267.33/208.64 | Equations (787) can reduce 422 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.64 |-Branch two:
% 267.33/208.64 | (422) ~ (all_0_30_30 = e1)
% 267.33/208.64 | (790) all_0_30_30 = e0
% 267.33/208.64 |
% 267.33/208.64 | Equations (790) can reduce 1878 to:
% 267.33/208.64 | (366) $false
% 267.33/208.64 |
% 267.33/208.64 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (1064) ~ (all_0_31_31 = e0)
% 267.33/208.65 | (1065) all_0_36_36 = e0
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (801,1065) yields a new equation:
% 267.33/208.65 | (836) e2 = e0
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 836 yields:
% 267.33/208.65 | (551) e2 = e0
% 267.33/208.65 |
% 267.33/208.65 | Equations (551) can reduce 347 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (1008) ~ (all_0_26_26 = e1)
% 267.33/208.65 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (1635), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (751) all_0_31_31 = e2
% 267.33/208.65 |
% 267.33/208.65 | Equations (751) can reduce 1099 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (1099) ~ (all_0_31_31 = e2)
% 267.33/208.65 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (1639), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (1010) all_0_31_31 = e1
% 267.33/208.65 |
% 267.33/208.65 | Equations (1010) can reduce 423 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (423) ~ (all_0_31_31 = e1)
% 267.33/208.65 | (1060) all_0_31_31 = e0
% 267.33/208.65 |
% 267.33/208.65 | Equations (1060) can reduce 423 to:
% 267.33/208.65 | (395) ~ (e1 = e0)
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 395 yields:
% 267.33/208.65 | (37) ~ (e1 = e0)
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (1009), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (1010) all_0_31_31 = e1
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (1060,1010) yields a new equation:
% 267.33/208.65 | (961) e1 = e0
% 267.33/208.65 |
% 267.33/208.65 | Equations (961) can reduce 37 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (423) ~ (all_0_31_31 = e1)
% 267.33/208.65 | (1015) all_0_36_36 = e1
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (801,1015) yields a new equation:
% 267.33/208.65 | (717) e2 = e1
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 717 yields:
% 267.33/208.65 | (718) e2 = e1
% 267.33/208.65 |
% 267.33/208.65 | Equations (718) can reduce 329 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (756) ~ (all_0_36_36 = e2)
% 267.33/208.65 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (804), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (805) all_0_37_37 = e2
% 267.33/208.65 |
% 267.33/208.65 | Equations (805) can reduce 515 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (515) ~ (all_0_37_37 = e2)
% 267.33/208.65 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (808), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (809) all_0_38_38 = e2
% 267.33/208.65 |
% 267.33/208.65 | Equations (809) can reduce 1084 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (1084) ~ (all_0_38_38 = e2)
% 267.33/208.65 | (373) all_0_39_39 = e2
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (365,373) yields a new equation:
% 267.33/208.65 | (1111) e4 = e2
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 1111 yields:
% 267.33/208.65 | (539) e4 = e2
% 267.33/208.65 |
% 267.33/208.65 | Equations (539) can reduce 19 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (727) ~ (all_0_32_32 = e4)
% 267.33/208.65 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (1476), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (406) all_0_33_33 = e4
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (418,406) yields a new equation:
% 267.33/208.65 | (480) e4 = e1
% 267.33/208.65 |
% 267.33/208.65 | Equations (480) can reduce 65 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (405) ~ (all_0_33_33 = e4)
% 267.33/208.65 | (723) all_0_34_34 = e4
% 267.33/208.65 |
% 267.33/208.65 | Equations (723) can reduce 1395 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (573) ~ (all_0_16_16 = e4)
% 267.33/208.65 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (6243), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (449) all_0_21_21 = e4
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (449,453) yields a new equation:
% 267.33/208.65 | (690) e4 = e3
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 690 yields:
% 267.33/208.65 | (691) e4 = e3
% 267.33/208.65 |
% 267.33/208.65 | Equations (691) can reduce 277 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (448) ~ (all_0_21_21 = e4)
% 267.33/208.65 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (6248), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (1237) all_0_26_26 = e4
% 267.33/208.65 |
% 267.33/208.65 | Equations (1237) can reduce 582 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (582) ~ (all_0_26_26 = e4)
% 267.33/208.65 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (6263), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (1446) all_0_31_31 = e4
% 267.33/208.65 |
% 267.33/208.65 | From (1446) and (10423) follows:
% 267.33/208.65 | (5450) op(e4, e4) = e1
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (27224), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (16309) ~ (op(e4, e4) = e1)
% 267.33/208.65 |
% 267.33/208.65 | Using (5450) and (16309) yields:
% 267.33/208.65 | (821) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (5450) op(e4, e4) = e1
% 267.33/208.65 | (961) e1 = e0
% 267.33/208.65 |
% 267.33/208.65 | Equations (961) can reduce 37 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.65 | (2611) all_0_36_36 = e4
% 267.33/208.65 |
% 267.33/208.65 | Equations (2611) can reduce 586 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (666) ~ (all_0_18_18 = e2)
% 267.33/208.65 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (1047), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (1134) all_0_18_18 = e3
% 267.33/208.65 |
% 267.33/208.65 | Equations (1134) can reduce 300 to:
% 267.33/208.65 | (7575) ~ (all_0_28_28 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 7575 yields:
% 267.33/208.65 | (1035) ~ (all_0_28_28 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Equations (1134) can reduce 142 to:
% 267.33/208.65 | (2070) ~ (all_0_38_38 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 2070 yields:
% 267.33/208.65 | (1080) ~ (all_0_38_38 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Equations (1134) can reduce 1046 to:
% 267.33/208.65 | (695) ~ (e4 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 695 yields:
% 267.33/208.65 | (277) ~ (e4 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Equations (1134) can reduce 666 to:
% 267.33/208.65 | (56) ~ (e3 = e2)
% 267.33/208.65 |
% 267.33/208.65 | Equations (1134) can reduce 419 to:
% 267.33/208.65 | (318) ~ (e3 = e1)
% 267.33/208.65 |
% 267.33/208.65 | Equations (1134) can reduce 1156 to:
% 267.33/208.65 | (88) ~ (e3 = e0)
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (168), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (2438) all_0_25_25 = e3
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (1158,2438) yields a new equation:
% 267.33/208.65 | (690) e4 = e3
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 690 yields:
% 267.33/208.65 | (691) e4 = e3
% 267.33/208.65 |
% 267.33/208.65 | Equations (691) can reduce 277 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (566) ~ (all_0_25_25 = e3)
% 267.33/208.65 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (2442), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (2443) all_0_26_26 = e3
% 267.33/208.65 |
% 267.33/208.65 | Equations (2443) can reduce 504 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (504) ~ (all_0_26_26 = e3)
% 267.33/208.65 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (338), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (892) all_0_28_28 = e4
% 267.33/208.65 |
% 267.33/208.65 | Equations (892) can reduce 890 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (890) ~ (all_0_28_28 = e4)
% 267.33/208.65 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (2448), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (439) all_0_27_27 = e3
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (443,439) yields a new equation:
% 267.33/208.65 | (764) e3 = e2
% 267.33/208.65 |
% 267.33/208.65 | Equations (764) can reduce 56 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (400) ~ (all_0_27_27 = e3)
% 267.33/208.65 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (895), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (896) all_0_28_28 = e3
% 267.33/208.65 |
% 267.33/208.65 | Equations (896) can reduce 1035 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (1035) ~ (all_0_28_28 = e3)
% 267.33/208.65 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (1756), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (1126) all_0_23_23 = e2
% 267.33/208.65 |
% 267.33/208.65 | Combining equations (1515,1126) yields a new equation:
% 267.33/208.65 | (1111) e4 = e2
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 1111 yields:
% 267.33/208.65 | (539) e4 = e2
% 267.33/208.65 |
% 267.33/208.65 | Equations (539) can reduce 19 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (810) ~ (all_0_23_23 = e2)
% 267.33/208.65 | (5316) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.33/208.65 |
% 267.33/208.65 +-Applying beta-rule and splitting (2453), into two cases.
% 267.33/208.65 |-Branch one:
% 267.33/208.65 | (896) all_0_28_28 = e3
% 267.33/208.65 |
% 267.33/208.65 | Equations (896) can reduce 1035 to:
% 267.33/208.65 | (366) $false
% 267.33/208.65 |
% 267.33/208.65 |-The branch is then unsatisfiable
% 267.33/208.65 |-Branch two:
% 267.33/208.65 | (1035) ~ (all_0_28_28 = e3)
% 267.33/208.65 | (1023) all_0_29_29 = e3
% 267.33/208.65 |
% 267.33/208.65 | Equations (1023) can reduce 38 to:
% 267.33/208.65 | (504) ~ (all_0_26_26 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Equations (1023) can reduce 41 to:
% 267.33/208.65 | (2981) ~ (all_0_34_34 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 2981 yields:
% 267.33/208.65 | (1031) ~ (all_0_34_34 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Equations (1023) can reduce 724 to:
% 267.33/208.65 | (695) ~ (e4 = e3)
% 267.33/208.65 |
% 267.33/208.65 | Simplifying 695 yields:
% 267.33/208.65 | (277) ~ (e4 = e3)
% 267.33/208.65 |
% 267.33/208.65 | From (1023) and (2) follows:
% 267.33/208.66 | (8444) op(e2, e0) = e3
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (2009), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1005) all_0_26_26 = e1
% 267.33/208.66 |
% 267.33/208.66 | Equations (1005) can reduce 170 to:
% 267.33/208.66 | (2547) ~ (all_0_36_36 = e1)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 2547 yields:
% 267.33/208.66 | (1593) ~ (all_0_36_36 = e1)
% 267.33/208.66 |
% 267.33/208.66 | Equations (1005) can reduce 582 to:
% 267.33/208.66 | (477) ~ (e4 = e1)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 477 yields:
% 267.33/208.66 | (65) ~ (e4 = e1)
% 267.33/208.66 |
% 267.33/208.66 | Equations (1005) can reduce 504 to:
% 267.33/208.66 | (429) ~ (e3 = e1)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 429 yields:
% 267.33/208.66 | (318) ~ (e3 = e1)
% 267.33/208.66 |
% 267.33/208.66 | Equations (1005) can reduce 647 to:
% 267.33/208.66 | (1002) ~ (e2 = e1)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 1002 yields:
% 267.33/208.66 | (329) ~ (e2 = e1)
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (241), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1921) all_0_25_25 = e0
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (1158,1921) yields a new equation:
% 267.33/208.66 | (842) e4 = e0
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 842 yields:
% 267.33/208.66 | (490) e4 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (490) can reduce 287 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (1925) ~ (all_0_25_25 = e0)
% 267.33/208.66 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (1926), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (883) all_0_26_26 = e0
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (1005,883) yields a new equation:
% 267.33/208.66 | (960) e1 = e0
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 960 yields:
% 267.33/208.66 | (961) e1 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (961) can reduce 37 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (1058) ~ (all_0_26_26 = e0)
% 267.33/208.66 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (2527), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (546) all_0_27_27 = e0
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (443,546) yields a new equation:
% 267.33/208.66 | (836) e2 = e0
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 836 yields:
% 267.33/208.66 | (551) e2 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (551) can reduce 347 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (434) ~ (all_0_27_27 = e0)
% 267.33/208.66 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (2533), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1044) all_0_28_28 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (1044) can reduce 649 to:
% 267.33/208.66 | (393) ~ (e2 = e0)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 393 yields:
% 267.33/208.66 | (347) ~ (e2 = e0)
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (5316), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1037) all_0_28_28 = e2
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (1044,1037) yields a new equation:
% 267.33/208.66 | (551) e2 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (551) can reduce 347 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (649) ~ (all_0_28_28 = e2)
% 267.33/208.66 | (5320) all_0_33_33 = e2 | all_0_38_38 = e2
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (358), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1165) all_0_38_38 = e4
% 267.33/208.66 |
% 267.33/208.66 | Equations (1165) can reduce 1143 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (1143) ~ (all_0_38_38 = e4)
% 267.33/208.66 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (5320), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (414) all_0_33_33 = e2
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (414,418) yields a new equation:
% 267.33/208.66 | (717) e2 = e1
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 717 yields:
% 267.33/208.66 | (718) e2 = e1
% 267.33/208.66 |
% 267.33/208.66 | Equations (718) can reduce 329 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (401) ~ (all_0_33_33 = e2)
% 267.33/208.66 | (809) all_0_38_38 = e2
% 267.33/208.66 |
% 267.33/208.66 | Equations (809) can reduce 93 to:
% 267.33/208.66 | (756) ~ (all_0_36_36 = e2)
% 267.33/208.66 |
% 267.33/208.66 | Equations (809) can reduce 1143 to:
% 267.33/208.66 | (444) ~ (e4 = e2)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 444 yields:
% 267.33/208.66 | (19) ~ (e4 = e2)
% 267.33/208.66 |
% 267.33/208.66 | Equations (809) can reduce 1080 to:
% 267.33/208.66 | (658) ~ (e3 = e2)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 658 yields:
% 267.33/208.66 | (56) ~ (e3 = e2)
% 267.33/208.66 |
% 267.33/208.66 | Equations (809) can reduce 428 to:
% 267.33/208.66 | (329) ~ (e2 = e1)
% 267.33/208.66 |
% 267.33/208.66 | From (809) and (312) follows:
% 267.33/208.66 | (27611) op(e2, all_0_34_34) = e1
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (187), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (2611) all_0_36_36 = e4
% 267.33/208.66 |
% 267.33/208.66 | Equations (2611) can reduce 586 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (586) ~ (all_0_36_36 = e4)
% 267.33/208.66 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (2614), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (818) all_0_36_36 = e3
% 267.33/208.66 |
% 267.33/208.66 | Equations (818) can reduce 516 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (516) ~ (all_0_36_36 = e3)
% 267.33/208.66 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (3567), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (801) all_0_36_36 = e2
% 267.33/208.66 |
% 267.33/208.66 | Equations (801) can reduce 756 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (756) ~ (all_0_36_36 = e2)
% 267.33/208.66 | (3571) all_0_36_36 = e1 | all_0_36_36 = e0
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (3571), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1015) all_0_36_36 = e1
% 267.33/208.66 |
% 267.33/208.66 | Equations (1015) can reduce 1593 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (1593) ~ (all_0_36_36 = e1)
% 267.33/208.66 | (1065) all_0_36_36 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (1065) can reduce 586 to:
% 267.33/208.66 | (389) ~ (e4 = e0)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 389 yields:
% 267.33/208.66 | (287) ~ (e4 = e0)
% 267.33/208.66 |
% 267.33/208.66 | Equations (1065) can reduce 516 to:
% 267.33/208.66 | (391) ~ (e3 = e0)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 391 yields:
% 267.33/208.66 | (88) ~ (e3 = e0)
% 267.33/208.66 |
% 267.33/208.66 | Equations (1065) can reduce 756 to:
% 267.33/208.66 | (393) ~ (e2 = e0)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 393 yields:
% 267.33/208.66 | (347) ~ (e2 = e0)
% 267.33/208.66 |
% 267.33/208.66 | Instantiating formula (97) with e2, e0, e3, e1 and discharging atoms op(e2, e0) = e3, yields:
% 267.33/208.66 | (27634) e3 = e1 | ~ (op(e2, e0) = e1)
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (340), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (697) all_0_16_16 = e2
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (163), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (701) all_0_16_16 = e4
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (701,697) yields a new equation:
% 267.33/208.66 | (1111) e4 = e2
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 1111 yields:
% 267.33/208.66 | (539) e4 = e2
% 267.33/208.66 |
% 267.33/208.66 | Equations (539) can reduce 19 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (573) ~ (all_0_16_16 = e4)
% 267.33/208.66 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (6243), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (449) all_0_21_21 = e4
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (453,449) yields a new equation:
% 267.33/208.66 | (691) e4 = e3
% 267.33/208.66 |
% 267.33/208.66 | Equations (691) can reduce 277 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (448) ~ (all_0_21_21 = e4)
% 267.33/208.66 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (6248), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1237) all_0_26_26 = e4
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (1005,1237) yields a new equation:
% 267.33/208.66 | (480) e4 = e1
% 267.33/208.66 |
% 267.33/208.66 | Equations (480) can reduce 65 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (582) ~ (all_0_26_26 = e4)
% 267.33/208.66 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (115), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1446) all_0_31_31 = e4
% 267.33/208.66 |
% 267.33/208.66 | From (1446) and (11561) follows:
% 267.33/208.66 | (533) op(e4, e4) = e3
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (26771), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (7213) ~ (op(e4, e4) = e3)
% 267.33/208.66 |
% 267.33/208.66 | Using (533) and (7213) yields:
% 267.33/208.66 | (821) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (533) op(e4, e4) = e3
% 267.33/208.66 | (980) e3 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (980) can reduce 88 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.66 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (6263), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (1446) all_0_31_31 = e4
% 267.33/208.66 |
% 267.33/208.66 | Equations (1446) can reduce 584 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (584) ~ (all_0_31_31 = e4)
% 267.33/208.66 | (2611) all_0_36_36 = e4
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (2611,1065) yields a new equation:
% 267.33/208.66 | (842) e4 = e0
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 842 yields:
% 267.33/208.66 | (490) e4 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (490) can reduce 287 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (664) ~ (all_0_16_16 = e2)
% 267.33/208.66 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (114), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (472) all_0_15_15 = e2
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (472,483) yields a new equation:
% 267.33/208.66 | (836) e2 = e0
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 836 yields:
% 267.33/208.66 | (551) e2 = e0
% 267.33/208.66 |
% 267.33/208.66 | Equations (551) can reduce 347 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (447) ~ (all_0_15_15 = e2)
% 267.33/208.66 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.33/208.66 |
% 267.33/208.66 | Equations (483) can reduce 447 to:
% 267.33/208.66 | (393) ~ (e2 = e0)
% 267.33/208.66 |
% 267.33/208.66 | Simplifying 393 yields:
% 267.33/208.66 | (347) ~ (e2 = e0)
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (700), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (522) all_0_21_21 = e2
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (522,453) yields a new equation:
% 267.33/208.66 | (764) e3 = e2
% 267.33/208.66 |
% 267.33/208.66 | Equations (764) can reduce 56 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (361) ~ (all_0_21_21 = e2)
% 267.33/208.66 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.33/208.66 |
% 267.33/208.66 +-Applying beta-rule and splitting (2289), into two cases.
% 267.33/208.66 |-Branch one:
% 267.33/208.66 | (2380) all_0_26_26 = e2
% 267.33/208.66 |
% 267.33/208.66 | Combining equations (1005,2380) yields a new equation:
% 267.33/208.66 | (718) e2 = e1
% 267.33/208.66 |
% 267.33/208.66 | Equations (718) can reduce 329 to:
% 267.33/208.66 | (366) $false
% 267.33/208.66 |
% 267.33/208.66 |-The branch is then unsatisfiable
% 267.33/208.66 |-Branch two:
% 267.33/208.66 | (647) ~ (all_0_26_26 = e2)
% 267.33/208.67 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 267.33/208.67 |
% 267.33/208.67 +-Applying beta-rule and splitting (2383), into two cases.
% 267.33/208.67 |-Branch one:
% 267.33/208.67 | (751) all_0_31_31 = e2
% 267.33/208.67 |
% 267.33/208.67 | Equations (751) can reduce 188 to:
% 267.33/208.67 | (671) ~ (all_0_34_34 = e2)
% 267.33/208.67 |
% 267.33/208.67 | Simplifying 671 yields:
% 267.33/208.67 | (672) ~ (all_0_34_34 = e2)
% 267.33/208.67 |
% 267.33/208.67 +-Applying beta-rule and splitting (83), into two cases.
% 267.33/208.67 |-Branch one:
% 267.33/208.67 | (723) all_0_34_34 = e4
% 267.33/208.67 |
% 267.33/208.67 | Equations (723) can reduce 1395 to:
% 267.33/208.67 | (366) $false
% 267.33/208.67 |
% 267.33/208.67 |-The branch is then unsatisfiable
% 267.33/208.67 |-Branch two:
% 267.33/208.67 | (1395) ~ (all_0_34_34 = e4)
% 267.33/208.67 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 267.33/208.67 |
% 267.33/208.67 +-Applying beta-rule and splitting (1396), into two cases.
% 267.33/208.67 |-Branch one:
% 267.33/208.67 | (1027) all_0_34_34 = e3
% 267.33/208.67 |
% 267.33/208.67 | Equations (1027) can reduce 1031 to:
% 267.33/208.67 | (366) $false
% 267.33/208.67 |
% 267.33/208.67 |-The branch is then unsatisfiable
% 267.33/208.67 |-Branch two:
% 267.33/208.67 | (1031) ~ (all_0_34_34 = e3)
% 267.33/208.67 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 267.33/208.67 |
% 267.33/208.67 +-Applying beta-rule and splitting (1709), into two cases.
% 267.33/208.67 |-Branch one:
% 267.33/208.67 | (1110) all_0_34_34 = e2
% 267.33/208.67 |
% 267.33/208.67 | Equations (1110) can reduce 672 to:
% 267.33/208.67 | (366) $false
% 267.33/208.67 |
% 267.33/208.67 |-The branch is then unsatisfiable
% 267.33/208.67 |-Branch two:
% 267.33/208.67 | (672) ~ (all_0_34_34 = e2)
% 267.33/208.67 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 267.33/208.67 |
% 267.33/208.67 +-Applying beta-rule and splitting (1713), into two cases.
% 267.33/208.67 |-Branch one:
% 267.33/208.67 | (954) all_0_34_34 = e1
% 267.33/208.67 |
% 267.33/208.67 | Equations (954) can reduce 426 to:
% 267.33/208.67 | (366) $false
% 267.33/208.67 |
% 267.33/208.67 |-The branch is then unsatisfiable
% 267.33/208.67 |-Branch two:
% 267.33/208.67 | (426) ~ (all_0_34_34 = e1)
% 267.33/208.67 | (1717) all_0_34_34 = e0
% 267.33/208.67 |
% 267.33/208.67 | From (1717) and (27611) follows:
% 267.33/208.67 | (27707) op(e2, e0) = e1
% 267.33/208.67 |
% 267.33/208.67 +-Applying beta-rule and splitting (27634), into two cases.
% 267.33/208.67 |-Branch one:
% 267.33/208.67 | (27708) ~ (op(e2, e0) = e1)
% 267.33/208.67 |
% 267.43/208.67 | Using (27707) and (27708) yields:
% 267.43/208.67 | (821) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (27707) op(e2, e0) = e1
% 267.43/208.67 | (706) e3 = e1
% 267.43/208.67 |
% 267.43/208.67 | Equations (706) can reduce 318 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (1099) ~ (all_0_31_31 = e2)
% 267.43/208.67 | (801) all_0_36_36 = e2
% 267.43/208.67 |
% 267.43/208.67 | Combining equations (1065,801) yields a new equation:
% 267.43/208.67 | (551) e2 = e0
% 267.43/208.67 |
% 267.43/208.67 | Equations (551) can reduce 347 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (886) ~ (all_0_28_28 = e0)
% 267.43/208.67 | (2537) all_0_29_29 = e0
% 267.43/208.67 |
% 267.43/208.67 | Combining equations (2537,1023) yields a new equation:
% 267.43/208.67 | (980) e3 = e0
% 267.43/208.67 |
% 267.43/208.67 | Equations (980) can reduce 88 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (1008) ~ (all_0_26_26 = e1)
% 267.43/208.67 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 267.43/208.67 |
% 267.43/208.67 +-Applying beta-rule and splitting (1036), into two cases.
% 267.43/208.67 |-Branch one:
% 267.43/208.67 | (1037) all_0_28_28 = e2
% 267.43/208.67 |
% 267.43/208.67 | Equations (1037) can reduce 649 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (649) ~ (all_0_28_28 = e2)
% 267.43/208.67 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 267.43/208.67 |
% 267.43/208.67 +-Applying beta-rule and splitting (2035), into two cases.
% 267.43/208.67 |-Branch one:
% 267.43/208.67 | (543) all_0_27_27 = e1
% 267.43/208.67 |
% 267.43/208.67 | Combining equations (443,543) yields a new equation:
% 267.43/208.67 | (717) e2 = e1
% 267.43/208.67 |
% 267.43/208.67 | Simplifying 717 yields:
% 267.43/208.67 | (718) e2 = e1
% 267.43/208.67 |
% 267.43/208.67 | Equations (718) can reduce 329 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (402) ~ (all_0_27_27 = e1)
% 267.43/208.67 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 267.43/208.67 |
% 267.43/208.67 +-Applying beta-rule and splitting (1040), into two cases.
% 267.43/208.67 |-Branch one:
% 267.43/208.67 | (1041) all_0_28_28 = e1
% 267.43/208.67 |
% 267.43/208.67 | Equations (1041) can reduce 421 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (421) ~ (all_0_28_28 = e1)
% 267.43/208.67 | (1044) all_0_28_28 = e0
% 267.43/208.67 |
% 267.43/208.67 | Equations (1044) can reduce 421 to:
% 267.43/208.67 | (395) ~ (e1 = e0)
% 267.43/208.67 |
% 267.43/208.67 | Simplifying 395 yields:
% 267.43/208.67 | (37) ~ (e1 = e0)
% 267.43/208.67 |
% 267.43/208.67 +-Applying beta-rule and splitting (2041), into two cases.
% 267.43/208.67 |-Branch one:
% 267.43/208.67 | (1041) all_0_28_28 = e1
% 267.43/208.67 |
% 267.43/208.67 | Combining equations (1044,1041) yields a new equation:
% 267.43/208.67 | (961) e1 = e0
% 267.43/208.67 |
% 267.43/208.67 | Equations (961) can reduce 37 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (421) ~ (all_0_28_28 = e1)
% 267.43/208.67 | (945) all_0_29_29 = e1
% 267.43/208.67 |
% 267.43/208.67 | Combining equations (1023,945) yields a new equation:
% 267.43/208.67 | (933) e3 = e1
% 267.43/208.67 |
% 267.43/208.67 | Simplifying 933 yields:
% 267.43/208.67 | (706) e3 = e1
% 267.43/208.67 |
% 267.43/208.67 | Equations (706) can reduce 318 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (560) ~ (all_0_18_18 = e3)
% 267.43/208.67 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 267.43/208.67 |
% 267.43/208.67 +-Applying beta-rule and splitting (1270), into two cases.
% 267.43/208.67 |-Branch one:
% 267.43/208.67 | (1274) all_0_18_18 = e2
% 267.43/208.67 |
% 267.43/208.67 | Equations (1274) can reduce 666 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (666) ~ (all_0_18_18 = e2)
% 267.43/208.67 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 267.43/208.67 |
% 267.43/208.67 +-Applying beta-rule and splitting (1277), into two cases.
% 267.43/208.67 |-Branch one:
% 267.43/208.67 | (1278) all_0_18_18 = e1
% 267.43/208.67 |
% 267.43/208.67 | Equations (1278) can reduce 419 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.67 |-Branch two:
% 267.43/208.67 | (419) ~ (all_0_18_18 = e1)
% 267.43/208.67 | (1153) all_0_18_18 = e0
% 267.43/208.67 |
% 267.43/208.67 | Equations (1153) can reduce 1156 to:
% 267.43/208.67 | (366) $false
% 267.43/208.67 |
% 267.43/208.67 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (501) ~ (all_0_25_25 = e4)
% 267.43/208.68 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (8), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (464) all_0_15_15 = e4
% 267.43/208.68 |
% 267.43/208.68 | Combining equations (464,483) yields a new equation:
% 267.43/208.68 | (842) e4 = e0
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 842 yields:
% 267.43/208.68 | (490) e4 = e0
% 267.43/208.68 |
% 267.43/208.68 | Equations (490) can reduce 287 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (460) ~ (all_0_15_15 = e4)
% 267.43/208.68 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (1217), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (1237) all_0_26_26 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (1237) can reduce 139 to:
% 267.43/208.68 | (573) ~ (all_0_16_16 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1237) can reduce 128 to:
% 267.43/208.68 | (501) ~ (all_0_25_25 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1237) can reduce 46 to:
% 267.43/208.68 | (889) ~ (all_0_28_28 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 889 yields:
% 267.43/208.68 | (890) ~ (all_0_28_28 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1237) can reduce 38 to:
% 267.43/208.68 | (2797) ~ (all_0_29_29 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 2797 yields:
% 267.43/208.68 | (724) ~ (all_0_29_29 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1237) can reduce 170 to:
% 267.43/208.68 | (585) ~ (all_0_36_36 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 585 yields:
% 267.43/208.68 | (586) ~ (all_0_36_36 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1237) can reduce 504 to:
% 267.43/208.68 | (277) ~ (e4 = e3)
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (914), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (1453) all_0_20_20 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (1453) can reduce 496 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (496) ~ (all_0_20_20 = e4)
% 267.43/208.68 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (694), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (701) all_0_16_16 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (701) can reduce 573 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (573) ~ (all_0_16_16 = e4)
% 267.43/208.68 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (1456), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (1158) all_0_25_25 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (1158) can reduce 501 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (501) ~ (all_0_25_25 = e4)
% 267.43/208.68 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (1460), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (768) all_0_30_30 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (768) can reduce 116 to:
% 267.43/208.68 | (496) ~ (all_0_20_20 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (768) can reduce 58 to:
% 267.43/208.68 | (501) ~ (all_0_25_25 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (768) can reduce 217 to:
% 267.43/208.68 | (583) ~ (all_0_31_31 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 583 yields:
% 267.43/208.68 | (584) ~ (all_0_31_31 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (768) can reduce 96 to:
% 267.43/208.68 | (1159) ~ (all_0_35_35 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 1159 yields:
% 267.43/208.68 | (514) ~ (all_0_35_35 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (768) can reduce 422 to:
% 267.43/208.68 | (65) ~ (e4 = e1)
% 267.43/208.68 |
% 267.43/208.68 | From (768) and (290) follows:
% 267.43/208.68 | (2823) op(e4, all_0_18_18) = e4
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (864), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (865) all_0_17_17 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (865) can reduce 169 to:
% 267.43/208.68 | (573) ~ (all_0_16_16 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (865) can reduce 74 to:
% 267.43/208.68 | (1493) ~ (all_0_18_18 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 1493 yields:
% 267.43/208.68 | (1046) ~ (all_0_18_18 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (865) can reduce 333 to:
% 267.43/208.68 | (6514) ~ (all_0_19_19 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 6514 yields:
% 267.43/208.68 | (714) ~ (all_0_19_19 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (865) can reduce 286 to:
% 267.43/208.68 | (1495) ~ (all_0_32_32 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 1495 yields:
% 267.43/208.68 | (727) ~ (all_0_32_32 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Equations (865) can reduce 132 to:
% 267.43/208.68 | (3299) ~ (all_0_37_37 = e4)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 3299 yields:
% 267.43/208.68 | (2658) ~ (all_0_37_37 = e4)
% 267.43/208.68 |
% 267.43/208.68 | From (865) and (57) follows:
% 267.43/208.68 | (1273) op(e4, all_0_25_25) = e2
% 267.43/208.68 |
% 267.43/208.68 | From (865) and (49) follows:
% 267.43/208.68 | (5082) op(all_0_25_25, e4) = e4
% 267.43/208.68 |
% 267.43/208.68 | Instantiating formula (97) with all_0_25_25, e4, e4, e2 and discharging atoms op(all_0_25_25, e4) = e4, yields:
% 267.43/208.68 | (27809) e4 = e2 | ~ (op(all_0_25_25, e4) = e2)
% 267.43/208.68 |
% 267.43/208.68 | Instantiating formula (97) with e4, all_0_31_31, e4, e1 and discharging atoms op(e4, all_0_31_31) = e1, yields:
% 267.43/208.68 | (10424) e4 = e1 | ~ (op(e4, all_0_31_31) = e4)
% 267.43/208.68 |
% 267.43/208.68 | Instantiating formula (97) with e4, e3, e2, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 267.43/208.68 | (15489) all_0_16_16 = e2 | ~ (op(e4, e3) = e2)
% 267.43/208.68 |
% 267.43/208.68 | Instantiating formula (97) with e4, e1, e2, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 267.43/208.68 | (2245) all_0_18_18 = e2 | ~ (op(e4, e1) = e2)
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (155), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (759) all_0_30_30 = e3
% 267.43/208.68 |
% 267.43/208.68 | Combining equations (759,768) yields a new equation:
% 267.43/208.68 | (691) e4 = e3
% 267.43/208.68 |
% 267.43/208.68 | Equations (691) can reduce 277 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (568) ~ (all_0_30_30 = e3)
% 267.43/208.68 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.43/208.68 |
% 267.43/208.68 | Equations (768) can reduce 568 to:
% 267.43/208.68 | (277) ~ (e4 = e3)
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (126), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (950) all_0_25_25 = e1
% 267.43/208.68 |
% 267.43/208.68 | Equations (950) can reduce 95 to:
% 267.43/208.68 | (1409) ~ (all_0_20_20 = e1)
% 267.43/208.68 |
% 267.43/208.68 | Equations (950) can reduce 62 to:
% 267.43/208.68 | (3164) ~ (all_0_29_29 = e1)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 3164 yields:
% 267.43/208.68 | (952) ~ (all_0_29_29 = e1)
% 267.43/208.68 |
% 267.43/208.68 | Equations (950) can reduce 501 to:
% 267.43/208.68 | (477) ~ (e4 = e1)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 477 yields:
% 267.43/208.68 | (65) ~ (e4 = e1)
% 267.43/208.68 |
% 267.43/208.68 | From (950) and (1273) follows:
% 267.43/208.68 | (1997) op(e4, e1) = e2
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (231), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (1453) all_0_20_20 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (1453) can reduce 496 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (496) ~ (all_0_20_20 = e4)
% 267.43/208.68 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (111), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (468) all_0_15_15 = e3
% 267.43/208.68 |
% 267.43/208.68 | Combining equations (468,483) yields a new equation:
% 267.43/208.68 | (979) e3 = e0
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 979 yields:
% 267.43/208.68 | (980) e3 = e0
% 267.43/208.68 |
% 267.43/208.68 | Equations (980) can reduce 88 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (433) ~ (all_0_15_15 = e3)
% 267.43/208.68 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (2301), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (903) all_0_20_20 = e3
% 267.43/208.68 |
% 267.43/208.68 | Equations (903) can reduce 564 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (564) ~ (all_0_20_20 = e3)
% 267.43/208.68 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (2245), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (1998) ~ (op(e4, e1) = e2)
% 267.43/208.68 |
% 267.43/208.68 | Using (1997) and (1998) yields:
% 267.43/208.68 | (821) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (1997) op(e4, e1) = e2
% 267.43/208.68 | (1274) all_0_18_18 = e2
% 267.43/208.68 |
% 267.43/208.68 | Equations (1274) can reduce 9 to:
% 267.43/208.68 | (664) ~ (all_0_16_16 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1274) can reduce 142 to:
% 267.43/208.68 | (1130) ~ (all_0_38_38 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 1130 yields:
% 267.43/208.68 | (1084) ~ (all_0_38_38 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1274) can reduce 1046 to:
% 267.43/208.68 | (444) ~ (e4 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 444 yields:
% 267.43/208.68 | (19) ~ (e4 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1274) can reduce 419 to:
% 267.43/208.68 | (329) ~ (e2 = e1)
% 267.43/208.68 |
% 267.43/208.68 | Equations (1274) can reduce 1156 to:
% 267.43/208.68 | (347) ~ (e2 = e0)
% 267.43/208.68 |
% 267.43/208.68 | From (1274) and (2823) follows:
% 267.43/208.68 | (1462) op(e4, e2) = e4
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (7536), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (903) all_0_20_20 = e3
% 267.43/208.68 |
% 267.43/208.68 | Equations (903) can reduce 564 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (564) ~ (all_0_20_20 = e3)
% 267.43/208.68 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (8890), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (2438) all_0_25_25 = e3
% 267.43/208.68 |
% 267.43/208.68 | Combining equations (950,2438) yields a new equation:
% 267.43/208.68 | (706) e3 = e1
% 267.43/208.68 |
% 267.43/208.68 | Equations (706) can reduce 318 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (566) ~ (all_0_25_25 = e3)
% 267.43/208.68 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (8920), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (759) all_0_30_30 = e3
% 267.43/208.68 |
% 267.43/208.68 | Combining equations (768,759) yields a new equation:
% 267.43/208.68 | (690) e4 = e3
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 690 yields:
% 267.43/208.68 | (691) e4 = e3
% 267.43/208.68 |
% 267.43/208.68 | Equations (691) can reduce 277 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (568) ~ (all_0_30_30 = e3)
% 267.43/208.68 | (814) all_0_35_35 = e3
% 267.43/208.68 |
% 267.43/208.68 | Equations (814) can reduce 249 to:
% 267.43/208.68 | (564) ~ (all_0_20_20 = e3)
% 267.43/208.68 |
% 267.43/208.68 | Equations (814) can reduce 121 to:
% 267.43/208.68 | (776) ~ (all_0_37_37 = e3)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 776 yields:
% 267.43/208.68 | (777) ~ (all_0_37_37 = e3)
% 267.43/208.68 |
% 267.43/208.68 | Equations (814) can reduce 173 to:
% 267.43/208.68 | (2070) ~ (all_0_38_38 = e3)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 2070 yields:
% 267.43/208.68 | (1080) ~ (all_0_38_38 = e3)
% 267.43/208.68 |
% 267.43/208.68 | Equations (814) can reduce 514 to:
% 267.43/208.68 | (695) ~ (e4 = e3)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 695 yields:
% 267.43/208.68 | (277) ~ (e4 = e3)
% 267.43/208.68 |
% 267.43/208.68 | Equations (814) can reduce 385 to:
% 267.43/208.68 | (88) ~ (e3 = e0)
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (270), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (701) all_0_16_16 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (701) can reduce 573 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (573) ~ (all_0_16_16 = e4)
% 267.43/208.68 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (2305), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (736) all_0_20_20 = e2
% 267.43/208.68 |
% 267.43/208.68 | Equations (736) can reduce 167 to:
% 267.43/208.68 | (667) ~ (all_0_24_24 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 667 yields:
% 267.43/208.68 | (668) ~ (all_0_24_24 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Equations (736) can reduce 496 to:
% 267.43/208.68 | (444) ~ (e4 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 444 yields:
% 267.43/208.68 | (19) ~ (e4 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Equations (736) can reduce 564 to:
% 267.43/208.68 | (658) ~ (e3 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Simplifying 658 yields:
% 267.43/208.68 | (56) ~ (e3 = e2)
% 267.43/208.68 |
% 267.43/208.68 | Equations (736) can reduce 1409 to:
% 267.43/208.68 | (329) ~ (e2 = e1)
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (72), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (468) all_0_15_15 = e3
% 267.43/208.68 |
% 267.43/208.68 | Combining equations (483,468) yields a new equation:
% 267.43/208.68 | (980) e3 = e0
% 267.43/208.68 |
% 267.43/208.68 | Equations (980) can reduce 88 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (433) ~ (all_0_15_15 = e3)
% 267.43/208.68 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (358), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (1165) all_0_38_38 = e4
% 267.43/208.68 |
% 267.43/208.68 | Equations (1165) can reduce 1143 to:
% 267.43/208.68 | (366) $false
% 267.43/208.68 |
% 267.43/208.68 |-The branch is then unsatisfiable
% 267.43/208.68 |-Branch two:
% 267.43/208.68 | (1143) ~ (all_0_38_38 = e4)
% 267.43/208.68 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.43/208.68 |
% 267.43/208.68 +-Applying beta-rule and splitting (214), into two cases.
% 267.43/208.68 |-Branch one:
% 267.43/208.68 | (797) all_0_35_35 = e2
% 267.43/208.68 |
% 267.43/208.69 | Combining equations (814,797) yields a new equation:
% 267.43/208.69 | (3874) e3 = e2
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 3874 yields:
% 267.43/208.69 | (764) e3 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (764) can reduce 56 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (742) ~ (all_0_35_35 = e2)
% 267.43/208.69 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (814) can reduce 742 to:
% 267.43/208.69 | (56) ~ (e3 = e2)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (704), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1287) all_0_16_16 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (1287) can reduce 458 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (458) ~ (all_0_16_16 = e3)
% 267.43/208.69 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1290), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (697) all_0_16_16 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (697) can reduce 664 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (664) ~ (all_0_16_16 = e2)
% 267.43/208.69 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1168), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1077) all_0_38_38 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (1077) can reduce 1080 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (1080) ~ (all_0_38_38 = e3)
% 267.43/208.69 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (800), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (801) all_0_36_36 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (801) can reduce 7 to:
% 267.43/208.69 | (1099) ~ (all_0_31_31 = e2)
% 267.43/208.69 |
% 267.43/208.69 | Equations (801) can reduce 586 to:
% 267.43/208.69 | (444) ~ (e4 = e2)
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 444 yields:
% 267.43/208.69 | (19) ~ (e4 = e2)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (215), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (747) all_0_30_30 = e2
% 267.43/208.69 |
% 267.43/208.69 | Combining equations (768,747) yields a new equation:
% 267.43/208.69 | (1111) e4 = e2
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 1111 yields:
% 267.43/208.69 | (539) e4 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (539) can reduce 19 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (740) ~ (all_0_30_30 = e2)
% 267.43/208.69 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1377), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (921) all_0_16_16 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (921) can reduce 236 to:
% 267.43/208.69 | (5458) ~ (all_0_19_19 = e1)
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 5458 yields:
% 267.43/208.69 | (720) ~ (all_0_19_19 = e1)
% 267.43/208.69 |
% 267.43/208.69 | Equations (921) can reduce 10 to:
% 267.43/208.69 | (1613) ~ (all_0_31_31 = e1)
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 1613 yields:
% 267.43/208.69 | (423) ~ (all_0_31_31 = e1)
% 267.43/208.69 |
% 267.43/208.69 | Equations (921) can reduce 573 to:
% 267.43/208.69 | (477) ~ (e4 = e1)
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 477 yields:
% 267.43/208.69 | (65) ~ (e4 = e1)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (115), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1446) all_0_31_31 = e4
% 267.43/208.69 |
% 267.43/208.69 | Equations (1446) can reduce 584 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (584) ~ (all_0_31_31 = e4)
% 267.43/208.69 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (32), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (716) all_0_19_19 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (716) can reduce 720 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (720) ~ (all_0_19_19 = e1)
% 267.43/208.69 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (721), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (940) all_0_24_24 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (940) can reduce 87 to:
% 267.43/208.69 | (720) ~ (all_0_19_19 = e1)
% 267.43/208.69 |
% 267.43/208.69 | Equations (940) can reduce 668 to:
% 267.43/208.69 | (1002) ~ (e2 = e1)
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 1002 yields:
% 267.43/208.69 | (329) ~ (e2 = e1)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (750), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (751) all_0_31_31 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (751) can reduce 1099 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (1099) ~ (all_0_31_31 = e2)
% 267.43/208.69 | (1100) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1100), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1101) all_0_32_32 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (1101) can reduce 508 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (508) ~ (all_0_32_32 = e2)
% 267.43/208.69 | (1104) all_0_33_33 = e2 | all_0_34_34 = e2
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1104), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (414) all_0_33_33 = e2
% 267.43/208.69 |
% 267.43/208.69 | Combining equations (418,414) yields a new equation:
% 267.43/208.69 | (718) e2 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (718) can reduce 329 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (401) ~ (all_0_33_33 = e2)
% 267.43/208.69 | (1110) all_0_34_34 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (1110) can reduce 188 to:
% 267.43/208.69 | (1099) ~ (all_0_31_31 = e2)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (762), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (763) all_0_31_31 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (763) can reduce 510 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (510) ~ (all_0_31_31 = e3)
% 267.43/208.69 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1631), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (763) all_0_31_31 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (763) can reduce 510 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (510) ~ (all_0_31_31 = e3)
% 267.43/208.69 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1635), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (751) all_0_31_31 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (751) can reduce 1099 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (1099) ~ (all_0_31_31 = e2)
% 267.43/208.69 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1639), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1010) all_0_31_31 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (1010) can reduce 423 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (423) ~ (all_0_31_31 = e1)
% 267.43/208.69 | (1060) all_0_31_31 = e0
% 267.43/208.69 |
% 267.43/208.69 | From (1060) and (10423) follows:
% 267.43/208.69 | (4339) op(e4, e0) = e1
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (12253), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (12790) ~ (op(e4, e0) = e1)
% 267.43/208.69 |
% 267.43/208.69 | Using (4339) and (12790) yields:
% 267.43/208.69 | (821) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (4339) op(e4, e0) = e1
% 267.43/208.69 | (716) all_0_19_19 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (716) can reduce 720 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (943) ~ (all_0_24_24 = e1)
% 267.43/208.69 | (944) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (944), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (945) all_0_29_29 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (945) can reduce 952 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (952) ~ (all_0_29_29 = e1)
% 267.43/208.69 | (953) all_0_34_34 = e1 | all_0_39_39 = e1
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (953), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (954) all_0_34_34 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (954) can reduce 426 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (426) ~ (all_0_34_34 = e1)
% 267.43/208.69 | (377) all_0_39_39 = e1
% 267.43/208.69 |
% 267.43/208.69 | Combining equations (377,365) yields a new equation:
% 267.43/208.69 | (480) e4 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (480) can reduce 65 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (985) ~ (all_0_16_16 = e1)
% 267.43/208.69 | (873) all_0_16_16 = e0
% 267.43/208.69 |
% 267.43/208.69 | Equations (873) can reduce 824 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (756) ~ (all_0_36_36 = e2)
% 267.43/208.69 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1206), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (809) all_0_38_38 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (809) can reduce 1084 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (1084) ~ (all_0_38_38 = e2)
% 267.43/208.69 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1210), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1211) all_0_38_38 = e1
% 267.43/208.69 |
% 267.43/208.69 | Equations (1211) can reduce 428 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (428) ~ (all_0_38_38 = e1)
% 267.43/208.69 | (1214) all_0_38_38 = e0
% 267.43/208.69 |
% 267.43/208.69 | Equations (1214) can reduce 428 to:
% 267.43/208.69 | (395) ~ (e1 = e0)
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 395 yields:
% 267.43/208.69 | (37) ~ (e1 = e0)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (271), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1232) all_0_37_37 = e4
% 267.43/208.69 |
% 267.43/208.69 | Equations (1232) can reduce 2658 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (2658) ~ (all_0_37_37 = e4)
% 267.43/208.69 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (241), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1921) all_0_25_25 = e0
% 267.43/208.69 |
% 267.43/208.69 | Combining equations (950,1921) yields a new equation:
% 267.43/208.69 | (960) e1 = e0
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 960 yields:
% 267.43/208.69 | (961) e1 = e0
% 267.43/208.69 |
% 267.43/208.69 | Equations (961) can reduce 37 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (1925) ~ (all_0_25_25 = e0)
% 267.43/208.69 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.43/208.69 |
% 267.43/208.69 | Equations (950) can reduce 1925 to:
% 267.43/208.69 | (37) ~ (e1 = e0)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (340), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (697) all_0_16_16 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (697) can reduce 664 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (664) ~ (all_0_16_16 = e2)
% 267.43/208.69 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (269), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1134) all_0_18_18 = e3
% 267.43/208.69 |
% 267.43/208.69 | Combining equations (1274,1134) yields a new equation:
% 267.43/208.69 | (764) e3 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (764) can reduce 56 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (560) ~ (all_0_18_18 = e3)
% 267.43/208.69 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (1274) can reduce 560 to:
% 267.43/208.69 | (658) ~ (e3 = e2)
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 658 yields:
% 267.43/208.69 | (56) ~ (e3 = e2)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (232), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1970) all_0_17_17 = e3
% 267.43/208.69 |
% 267.43/208.69 | Combining equations (1970,865) yields a new equation:
% 267.43/208.69 | (691) e4 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (691) can reduce 277 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (558) ~ (all_0_17_17 = e3)
% 267.43/208.69 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (1973), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (857) all_0_22_22 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (857) can reduce 774 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (774) ~ (all_0_22_22 = e3)
% 267.43/208.69 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (3872), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1073) all_0_37_37 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (1073) can reduce 777 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (777) ~ (all_0_37_37 = e3)
% 267.43/208.69 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (3115), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (439) all_0_27_27 = e3
% 267.43/208.69 |
% 267.43/208.69 | Combining equations (439,443) yields a new equation:
% 267.43/208.69 | (3874) e3 = e2
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 3874 yields:
% 267.43/208.69 | (764) e3 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (764) can reduce 56 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (400) ~ (all_0_27_27 = e3)
% 267.43/208.69 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (3120), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (772) all_0_32_32 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (772) can reduce 727 to:
% 267.43/208.69 | (695) ~ (e4 = e3)
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 695 yields:
% 267.43/208.69 | (277) ~ (e4 = e3)
% 267.43/208.69 |
% 267.43/208.69 | Equations (772) can reduce 508 to:
% 267.43/208.69 | (56) ~ (e3 = e2)
% 267.43/208.69 |
% 267.43/208.69 | Equations (772) can reduce 424 to:
% 267.43/208.69 | (318) ~ (e3 = e1)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (700), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (522) all_0_21_21 = e2
% 267.43/208.69 |
% 267.43/208.69 | Combining equations (453,522) yields a new equation:
% 267.43/208.69 | (3874) e3 = e2
% 267.43/208.69 |
% 267.43/208.69 | Simplifying 3874 yields:
% 267.43/208.69 | (764) e3 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (764) can reduce 56 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (361) ~ (all_0_21_21 = e2)
% 267.43/208.69 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.43/208.69 |
% 267.43/208.69 | Equations (453) can reduce 361 to:
% 267.43/208.69 | (56) ~ (e3 = e2)
% 267.43/208.69 |
% 267.43/208.69 +-Applying beta-rule and splitting (7544), into two cases.
% 267.43/208.69 |-Branch one:
% 267.43/208.69 | (1287) all_0_16_16 = e3
% 267.43/208.69 |
% 267.43/208.69 | Equations (1287) can reduce 458 to:
% 267.43/208.69 | (366) $false
% 267.43/208.69 |
% 267.43/208.69 |-The branch is then unsatisfiable
% 267.43/208.69 |-Branch two:
% 267.43/208.69 | (458) ~ (all_0_16_16 = e3)
% 267.43/208.70 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (7699), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (1970) all_0_17_17 = e3
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (1970,865) yields a new equation:
% 267.43/208.70 | (691) e4 = e3
% 267.43/208.70 |
% 267.43/208.70 | Equations (691) can reduce 277 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (558) ~ (all_0_17_17 = e3)
% 267.43/208.70 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (7722), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (1134) all_0_18_18 = e3
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (1274,1134) yields a new equation:
% 267.43/208.70 | (764) e3 = e2
% 267.43/208.70 |
% 267.43/208.70 | Equations (764) can reduce 56 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (560) ~ (all_0_18_18 = e3)
% 267.43/208.70 | (927) all_0_19_19 = e3
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (323), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (476) all_0_15_15 = e1
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (483,476) yields a new equation:
% 267.43/208.70 | (961) e1 = e0
% 267.43/208.70 |
% 267.43/208.70 | Equations (961) can reduce 37 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (482) ~ (all_0_15_15 = e1)
% 267.43/208.70 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (709), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (921) all_0_16_16 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (921) can reduce 573 to:
% 267.43/208.70 | (477) ~ (e4 = e1)
% 267.43/208.70 |
% 267.43/208.70 | Simplifying 477 yields:
% 267.43/208.70 | (65) ~ (e4 = e1)
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (2289), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (2380) all_0_26_26 = e2
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (1237,2380) yields a new equation:
% 267.43/208.70 | (1111) e4 = e2
% 267.43/208.70 |
% 267.43/208.70 | Simplifying 1111 yields:
% 267.43/208.70 | (539) e4 = e2
% 267.43/208.70 |
% 267.43/208.70 | Equations (539) can reduce 19 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (647) ~ (all_0_26_26 = e2)
% 267.43/208.70 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (2383), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (751) all_0_31_31 = e2
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (10424), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (10508) ~ (op(e4, all_0_31_31) = e4)
% 267.43/208.70 |
% 267.43/208.70 | From (751) and (10508) follows:
% 267.43/208.70 | (1463) ~ (op(e4, e2) = e4)
% 267.43/208.70 |
% 267.43/208.70 | Using (1462) and (1463) yields:
% 267.43/208.70 | (821) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (10511) op(e4, all_0_31_31) = e4
% 267.43/208.70 | (480) e4 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (480) can reduce 65 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (1099) ~ (all_0_31_31 = e2)
% 267.43/208.70 | (801) all_0_36_36 = e2
% 267.43/208.70 |
% 267.43/208.70 | Equations (801) can reduce 756 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (985) ~ (all_0_16_16 = e1)
% 267.43/208.70 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (168), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (2438) all_0_25_25 = e3
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (950,2438) yields a new equation:
% 267.43/208.70 | (706) e3 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (706) can reduce 318 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (566) ~ (all_0_25_25 = e3)
% 267.43/208.70 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.43/208.70 |
% 267.43/208.70 | Equations (950) can reduce 566 to:
% 267.43/208.70 | (429) ~ (e3 = e1)
% 267.43/208.70 |
% 267.43/208.70 | Simplifying 429 yields:
% 267.43/208.70 | (318) ~ (e3 = e1)
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (32), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (716) all_0_19_19 = e1
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (927,716) yields a new equation:
% 267.43/208.70 | (933) e3 = e1
% 267.43/208.70 |
% 267.43/208.70 | Simplifying 933 yields:
% 267.43/208.70 | (706) e3 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (706) can reduce 318 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (720) ~ (all_0_19_19 = e1)
% 267.43/208.70 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (927) can reduce 720 to:
% 267.43/208.70 | (318) ~ (e3 = e1)
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (308), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (1175) all_0_20_20 = e1
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (736,1175) yields a new equation:
% 267.43/208.70 | (717) e2 = e1
% 267.43/208.70 |
% 267.43/208.70 | Simplifying 717 yields:
% 267.43/208.70 | (718) e2 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (718) can reduce 329 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (1409) ~ (all_0_20_20 = e1)
% 267.43/208.70 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (736) can reduce 1409 to:
% 267.43/208.70 | (329) ~ (e2 = e1)
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (4682), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (526) all_0_21_21 = e1
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (526,453) yields a new equation:
% 267.43/208.70 | (706) e3 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (706) can reduce 318 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (363) ~ (all_0_21_21 = e1)
% 267.43/208.70 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (453) can reduce 363 to:
% 267.43/208.70 | (318) ~ (e3 = e1)
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (17), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (1498) all_0_17_17 = e1
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (1498,865) yields a new equation:
% 267.43/208.70 | (480) e4 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (480) can reduce 65 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (1501) ~ (all_0_17_17 = e1)
% 267.43/208.70 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (865) can reduce 1501 to:
% 267.43/208.70 | (65) ~ (e4 = e1)
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (1373), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (1498) all_0_17_17 = e1
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (1498,865) yields a new equation:
% 267.43/208.70 | (480) e4 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (480) can reduce 65 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (1501) ~ (all_0_17_17 = e1)
% 267.43/208.70 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (1681), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (1278) all_0_18_18 = e1
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (1274,1278) yields a new equation:
% 267.43/208.70 | (717) e2 = e1
% 267.43/208.70 |
% 267.43/208.70 | Simplifying 717 yields:
% 267.43/208.70 | (718) e2 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (718) can reduce 329 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (419) ~ (all_0_18_18 = e1)
% 267.43/208.70 | (716) all_0_19_19 = e1
% 267.43/208.70 |
% 267.43/208.70 | Combining equations (927,716) yields a new equation:
% 267.43/208.70 | (933) e3 = e1
% 267.43/208.70 |
% 267.43/208.70 | Simplifying 933 yields:
% 267.43/208.70 | (706) e3 = e1
% 267.43/208.70 |
% 267.43/208.70 | Equations (706) can reduce 318 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (1089) ~ (all_0_32_32 = e3)
% 267.43/208.70 | (1073) all_0_37_37 = e3
% 267.43/208.70 |
% 267.43/208.70 | Equations (1073) can reduce 777 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.43/208.70 | (1114) ~ (all_0_20_20 = e2)
% 267.43/208.70 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 267.43/208.70 |
% 267.43/208.70 +-Applying beta-rule and splitting (51), into two cases.
% 267.43/208.70 |-Branch one:
% 267.43/208.70 | (736) all_0_20_20 = e2
% 267.43/208.70 |
% 267.43/208.70 | Equations (736) can reduce 1114 to:
% 267.43/208.70 | (366) $false
% 267.43/208.70 |
% 267.43/208.70 |-The branch is then unsatisfiable
% 267.43/208.70 |-Branch two:
% 267.46/208.70 | (1114) ~ (all_0_20_20 = e2)
% 267.46/208.70 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.46/208.70 |
% 267.46/208.70 +-Applying beta-rule and splitting (162), into two cases.
% 267.46/208.70 |-Branch one:
% 267.46/208.70 | (472) all_0_15_15 = e2
% 267.46/208.70 |
% 267.46/208.70 | Combining equations (472,483) yields a new equation:
% 267.46/208.70 | (836) e2 = e0
% 267.46/208.70 |
% 267.46/208.70 | Simplifying 836 yields:
% 267.46/208.70 | (551) e2 = e0
% 267.46/208.70 |
% 267.46/208.70 | Equations (551) can reduce 347 to:
% 267.46/208.70 | (366) $false
% 267.46/208.70 |
% 267.46/208.70 |-The branch is then unsatisfiable
% 267.46/208.70 |-Branch two:
% 267.46/208.70 | (447) ~ (all_0_15_15 = e2)
% 267.46/208.70 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.46/208.70 |
% 267.46/208.70 +-Applying beta-rule and splitting (2921), into two cases.
% 267.46/208.70 |-Branch one:
% 267.46/208.70 | (736) all_0_20_20 = e2
% 267.46/208.70 |
% 267.46/208.70 | Equations (736) can reduce 1114 to:
% 267.46/208.70 | (366) $false
% 267.46/208.70 |
% 267.46/208.70 |-The branch is then unsatisfiable
% 267.46/208.70 |-Branch two:
% 267.46/208.70 | (1114) ~ (all_0_20_20 = e2)
% 267.46/208.70 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.46/208.70 |
% 267.46/208.70 +-Applying beta-rule and splitting (1115), into two cases.
% 267.46/208.70 |-Branch one:
% 267.46/208.70 | (522) all_0_21_21 = e2
% 267.46/208.70 |
% 267.46/208.70 | Combining equations (522,453) yields a new equation:
% 267.46/208.70 | (764) e3 = e2
% 267.46/208.70 |
% 267.46/208.70 | Equations (764) can reduce 56 to:
% 267.46/208.70 | (366) $false
% 267.46/208.70 |
% 267.46/208.70 |-The branch is then unsatisfiable
% 267.46/208.70 |-Branch two:
% 267.46/208.70 | (361) ~ (all_0_21_21 = e2)
% 267.46/208.70 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.46/208.70 |
% 267.46/208.70 | Equations (453) can reduce 361 to:
% 267.46/208.70 | (56) ~ (e3 = e2)
% 267.46/208.70 |
% 267.46/208.70 +-Applying beta-rule and splitting (10030), into two cases.
% 267.46/208.70 |-Branch one:
% 267.46/208.70 | (3159) all_0_25_25 = e2
% 267.46/208.70 |
% 267.46/208.70 | Combining equations (950,3159) yields a new equation:
% 267.46/208.70 | (718) e2 = e1
% 267.46/208.70 |
% 267.46/208.70 | Equations (718) can reduce 329 to:
% 267.46/208.70 | (366) $false
% 267.46/208.70 |
% 267.46/208.70 |-The branch is then unsatisfiable
% 267.46/208.70 |-Branch two:
% 267.46/208.70 | (646) ~ (all_0_25_25 = e2)
% 267.46/208.70 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 267.46/208.70 |
% 267.46/208.70 +-Applying beta-rule and splitting (16274), into two cases.
% 267.46/208.70 |-Branch one:
% 267.46/208.70 | (747) all_0_30_30 = e2
% 267.46/208.70 |
% 267.46/208.70 | Combining equations (768,747) yields a new equation:
% 267.46/208.70 | (1111) e4 = e2
% 267.46/208.70 |
% 267.46/208.70 | Simplifying 1111 yields:
% 267.46/208.70 | (539) e4 = e2
% 267.46/208.70 |
% 267.46/208.71 | Equations (539) can reduce 19 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (740) ~ (all_0_30_30 = e2)
% 267.46/208.71 | (797) all_0_35_35 = e2
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (814,797) yields a new equation:
% 267.46/208.71 | (3874) e3 = e2
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 3874 yields:
% 267.46/208.71 | (764) e3 = e2
% 267.46/208.71 |
% 267.46/208.71 | Equations (764) can reduce 56 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (946) ~ (all_0_25_25 = e1)
% 267.46/208.71 | (2009) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (245), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1158) all_0_25_25 = e4
% 267.46/208.71 |
% 267.46/208.71 | Equations (1158) can reduce 501 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (501) ~ (all_0_25_25 = e4)
% 267.46/208.71 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (2009), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1005) all_0_26_26 = e1
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (1237,1005) yields a new equation:
% 267.46/208.71 | (955) e4 = e1
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 955 yields:
% 267.46/208.71 | (480) e4 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (480) can reduce 65 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (1008) ~ (all_0_26_26 = e1)
% 267.46/208.71 | (2035) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (3136), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (2438) all_0_25_25 = e3
% 267.46/208.71 |
% 267.46/208.71 | Equations (2438) can reduce 95 to:
% 267.46/208.71 | (564) ~ (all_0_20_20 = e3)
% 267.46/208.71 |
% 267.46/208.71 | Equations (2438) can reduce 193 to:
% 267.46/208.71 | (7575) ~ (all_0_28_28 = e3)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 7575 yields:
% 267.46/208.71 | (1035) ~ (all_0_28_28 = e3)
% 267.46/208.71 |
% 267.46/208.71 | From (2438) and (1273) follows:
% 267.46/208.71 | (3029) op(e4, e3) = e2
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (15489), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (2992) ~ (op(e4, e3) = e2)
% 267.46/208.71 |
% 267.46/208.71 | Using (3029) and (2992) yields:
% 267.46/208.71 | (821) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (3029) op(e4, e3) = e2
% 267.46/208.71 | (697) all_0_16_16 = e2
% 267.46/208.71 |
% 267.46/208.71 | Equations (697) can reduce 9 to:
% 267.46/208.71 | (7441) ~ (all_0_18_18 = e2)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 7441 yields:
% 267.46/208.71 | (666) ~ (all_0_18_18 = e2)
% 267.46/208.71 |
% 267.46/208.71 | Equations (697) can reduce 236 to:
% 267.46/208.71 | (7443) ~ (all_0_19_19 = e2)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 7443 yields:
% 267.46/208.71 | (2785) ~ (all_0_19_19 = e2)
% 267.46/208.71 |
% 267.46/208.71 | Equations (697) can reduce 64 to:
% 267.46/208.71 | (755) ~ (all_0_36_36 = e2)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 755 yields:
% 267.46/208.71 | (756) ~ (all_0_36_36 = e2)
% 267.46/208.71 |
% 267.46/208.71 | Equations (697) can reduce 573 to:
% 267.46/208.71 | (444) ~ (e4 = e2)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 444 yields:
% 267.46/208.71 | (19) ~ (e4 = e2)
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (215), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (747) all_0_30_30 = e2
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (747,768) yields a new equation:
% 267.46/208.71 | (539) e4 = e2
% 267.46/208.71 |
% 267.46/208.71 | Equations (539) can reduce 19 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (740) ~ (all_0_30_30 = e2)
% 267.46/208.71 | (750) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 267.46/208.71 |
% 267.46/208.71 | Equations (768) can reduce 740 to:
% 267.46/208.71 | (19) ~ (e4 = e2)
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (2035), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (543) all_0_27_27 = e1
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (443,543) yields a new equation:
% 267.46/208.71 | (717) e2 = e1
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 717 yields:
% 267.46/208.71 | (718) e2 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (718) can reduce 329 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (402) ~ (all_0_27_27 = e1)
% 267.46/208.71 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (443) can reduce 402 to:
% 267.46/208.71 | (329) ~ (e2 = e1)
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (338), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (892) all_0_28_28 = e4
% 267.46/208.71 |
% 267.46/208.71 | Equations (892) can reduce 890 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (890) ~ (all_0_28_28 = e4)
% 267.46/208.71 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (228), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (921) all_0_16_16 = e1
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (921,697) yields a new equation:
% 267.46/208.71 | (718) e2 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (718) can reduce 329 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (985) ~ (all_0_16_16 = e1)
% 267.46/208.71 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (2041), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1041) all_0_28_28 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (1041) can reduce 421 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (421) ~ (all_0_28_28 = e1)
% 267.46/208.71 | (945) all_0_29_29 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (945) can reduce 229 to:
% 267.46/208.71 | (720) ~ (all_0_19_19 = e1)
% 267.46/208.71 |
% 267.46/208.71 | Equations (945) can reduce 73 to:
% 267.46/208.71 | (421) ~ (all_0_28_28 = e1)
% 267.46/208.71 |
% 267.46/208.71 | Equations (945) can reduce 724 to:
% 267.46/208.71 | (477) ~ (e4 = e1)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 477 yields:
% 267.46/208.71 | (65) ~ (e4 = e1)
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (225), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (711) all_0_19_19 = e4
% 267.46/208.71 |
% 267.46/208.71 | Equations (711) can reduce 714 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (714) ~ (all_0_19_19 = e4)
% 267.46/208.71 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (4311), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (927) all_0_19_19 = e3
% 267.46/208.71 |
% 267.46/208.71 | Equations (927) can reduce 720 to:
% 267.46/208.71 | (318) ~ (e3 = e1)
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (309), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1274) all_0_18_18 = e2
% 267.46/208.71 |
% 267.46/208.71 | Equations (1274) can reduce 666 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (666) ~ (all_0_18_18 = e2)
% 267.46/208.71 | (1756) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (895), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (896) all_0_28_28 = e3
% 267.46/208.71 |
% 267.46/208.71 | Equations (896) can reduce 1035 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (1035) ~ (all_0_28_28 = e3)
% 267.46/208.71 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (1036), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1037) all_0_28_28 = e2
% 267.46/208.71 |
% 267.46/208.71 | Equations (1037) can reduce 649 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (649) ~ (all_0_28_28 = e2)
% 267.46/208.71 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (1040), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1041) all_0_28_28 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (1041) can reduce 421 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (421) ~ (all_0_28_28 = e1)
% 267.46/208.71 | (1044) all_0_28_28 = e0
% 267.46/208.71 |
% 267.46/208.71 | Equations (1044) can reduce 649 to:
% 267.46/208.71 | (393) ~ (e2 = e0)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 393 yields:
% 267.46/208.71 | (347) ~ (e2 = e0)
% 267.46/208.71 |
% 267.46/208.71 | Equations (1044) can reduce 421 to:
% 267.46/208.71 | (395) ~ (e1 = e0)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 395 yields:
% 267.46/208.71 | (37) ~ (e1 = e0)
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (986), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (526) all_0_21_21 = e1
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (453,526) yields a new equation:
% 267.46/208.71 | (933) e3 = e1
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 933 yields:
% 267.46/208.71 | (706) e3 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (706) can reduce 318 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (363) ~ (all_0_21_21 = e1)
% 267.46/208.71 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (998), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1005) all_0_26_26 = e1
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (1237,1005) yields a new equation:
% 267.46/208.71 | (955) e4 = e1
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 955 yields:
% 267.46/208.71 | (480) e4 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (480) can reduce 65 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (1008) ~ (all_0_26_26 = e1)
% 267.46/208.71 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (323), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (476) all_0_15_15 = e1
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (483,476) yields a new equation:
% 267.46/208.71 | (961) e1 = e0
% 267.46/208.71 |
% 267.46/208.71 | Equations (961) can reduce 37 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (482) ~ (all_0_15_15 = e1)
% 267.46/208.71 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (483) can reduce 482 to:
% 267.46/208.71 | (395) ~ (e1 = e0)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 395 yields:
% 267.46/208.71 | (37) ~ (e1 = e0)
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (1756), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1126) all_0_23_23 = e2
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (1515,1126) yields a new equation:
% 267.46/208.71 | (1111) e4 = e2
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 1111 yields:
% 267.46/208.71 | (539) e4 = e2
% 267.46/208.71 |
% 267.46/208.71 | Equations (539) can reduce 19 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (810) ~ (all_0_23_23 = e2)
% 267.46/208.71 | (5316) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (5316), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1037) all_0_28_28 = e2
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (1044,1037) yields a new equation:
% 267.46/208.71 | (551) e2 = e0
% 267.46/208.71 |
% 267.46/208.71 | Equations (551) can reduce 347 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (649) ~ (all_0_28_28 = e2)
% 267.46/208.71 | (5320) all_0_33_33 = e2 | all_0_38_38 = e2
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (1009), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1010) all_0_31_31 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (1010) can reduce 423 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (423) ~ (all_0_31_31 = e1)
% 267.46/208.71 | (1015) all_0_36_36 = e1
% 267.46/208.71 |
% 267.46/208.71 | Equations (1015) can reduce 183 to:
% 267.46/208.71 | (2561) ~ (all_0_37_37 = e1)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 2561 yields:
% 267.46/208.71 | (2562) ~ (all_0_37_37 = e1)
% 267.46/208.71 |
% 267.46/208.71 | Equations (1015) can reduce 93 to:
% 267.46/208.71 | (427) ~ (all_0_38_38 = e1)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 427 yields:
% 267.46/208.71 | (428) ~ (all_0_38_38 = e1)
% 267.46/208.71 |
% 267.46/208.71 | Equations (1015) can reduce 756 to:
% 267.46/208.71 | (1002) ~ (e2 = e1)
% 267.46/208.71 |
% 267.46/208.71 | Simplifying 1002 yields:
% 267.46/208.71 | (329) ~ (e2 = e1)
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (29), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (476) all_0_15_15 = e1
% 267.46/208.71 |
% 267.46/208.71 | Combining equations (483,476) yields a new equation:
% 267.46/208.71 | (961) e1 = e0
% 267.46/208.71 |
% 267.46/208.71 | Equations (961) can reduce 37 to:
% 267.46/208.71 | (366) $false
% 267.46/208.71 |
% 267.46/208.71 |-The branch is then unsatisfiable
% 267.46/208.71 |-Branch two:
% 267.46/208.71 | (482) ~ (all_0_15_15 = e1)
% 267.46/208.71 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.46/208.71 |
% 267.46/208.71 +-Applying beta-rule and splitting (937), into two cases.
% 267.46/208.71 |-Branch one:
% 267.46/208.71 | (1175) all_0_20_20 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (1175) can reduce 211 to:
% 267.46/208.72 | (3383) ~ (all_0_22_22 = e1)
% 267.46/208.72 |
% 267.46/208.72 | Simplifying 3383 yields:
% 267.46/208.72 | (1018) ~ (all_0_22_22 = e1)
% 267.46/208.72 |
% 267.46/208.72 | Equations (1175) can reduce 496 to:
% 267.46/208.72 | (477) ~ (e4 = e1)
% 267.46/208.72 |
% 267.46/208.72 | Simplifying 477 yields:
% 267.46/208.72 | (65) ~ (e4 = e1)
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (17), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (1498) all_0_17_17 = e1
% 267.46/208.72 |
% 267.46/208.72 | Combining equations (865,1498) yields a new equation:
% 267.46/208.72 | (955) e4 = e1
% 267.46/208.72 |
% 267.46/208.72 | Simplifying 955 yields:
% 267.46/208.72 | (480) e4 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (480) can reduce 65 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (1501) ~ (all_0_17_17 = e1)
% 267.46/208.72 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (5320), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (414) all_0_33_33 = e2
% 267.46/208.72 |
% 267.46/208.72 | Combining equations (418,414) yields a new equation:
% 267.46/208.72 | (718) e2 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (718) can reduce 329 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (401) ~ (all_0_33_33 = e2)
% 267.46/208.72 | (809) all_0_38_38 = e2
% 267.46/208.72 |
% 267.46/208.72 | Equations (809) can reduce 428 to:
% 267.46/208.72 | (329) ~ (e2 = e1)
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (51), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (736) all_0_20_20 = e2
% 267.46/208.72 |
% 267.46/208.72 | Combining equations (1175,736) yields a new equation:
% 267.46/208.72 | (718) e2 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (718) can reduce 329 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (1114) ~ (all_0_20_20 = e2)
% 267.46/208.72 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.46/208.72 |
% 267.46/208.72 | Equations (1175) can reduce 1114 to:
% 267.46/208.72 | (1002) ~ (e2 = e1)
% 267.46/208.72 |
% 267.46/208.72 | Simplifying 1002 yields:
% 267.46/208.72 | (329) ~ (e2 = e1)
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (709), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (921) all_0_16_16 = e1
% 267.46/208.72 |
% 267.46/208.72 | Combining equations (921,697) yields a new equation:
% 267.46/208.72 | (718) e2 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (718) can reduce 329 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (985) ~ (all_0_16_16 = e1)
% 267.46/208.72 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (697) can reduce 985 to:
% 267.46/208.72 | (329) ~ (e2 = e1)
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (1502), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (999) all_0_22_22 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (999) can reduce 1018 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (1018) ~ (all_0_22_22 = e1)
% 267.46/208.72 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (1566), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (543) all_0_27_27 = e1
% 267.46/208.72 |
% 267.46/208.72 | Combining equations (443,543) yields a new equation:
% 267.46/208.72 | (717) e2 = e1
% 267.46/208.72 |
% 267.46/208.72 | Simplifying 717 yields:
% 267.46/208.72 | (718) e2 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (718) can reduce 329 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (402) ~ (all_0_27_27 = e1)
% 267.46/208.72 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (1586), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (1587) all_0_32_32 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (1587) can reduce 424 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (424) ~ (all_0_32_32 = e1)
% 267.46/208.72 | (1590) all_0_37_37 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (1590) can reduce 2562 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (1409) ~ (all_0_20_20 = e1)
% 267.46/208.72 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (308), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (1175) all_0_20_20 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (1175) can reduce 1409 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (1409) ~ (all_0_20_20 = e1)
% 267.46/208.72 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (231), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (1453) all_0_20_20 = e4
% 267.46/208.72 |
% 267.46/208.72 | Equations (1453) can reduce 496 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (496) ~ (all_0_20_20 = e4)
% 267.46/208.72 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (2301), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (903) all_0_20_20 = e3
% 267.46/208.72 |
% 267.46/208.72 | Equations (903) can reduce 564 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (564) ~ (all_0_20_20 = e3)
% 267.46/208.72 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (2305), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (736) all_0_20_20 = e2
% 267.46/208.72 |
% 267.46/208.72 | Equations (736) can reduce 496 to:
% 267.46/208.72 | (444) ~ (e4 = e2)
% 267.46/208.72 |
% 267.46/208.72 | Simplifying 444 yields:
% 267.46/208.72 | (19) ~ (e4 = e2)
% 267.46/208.72 |
% 267.46/208.72 | From (736) and (274) follows:
% 267.46/208.72 | (2984) op(e3, e4) = e2
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (27809), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (28379) ~ (op(all_0_25_25, e4) = e2)
% 267.46/208.72 |
% 267.46/208.72 | From (2438) and (28379) follows:
% 267.46/208.72 | (2993) ~ (op(e3, e4) = e2)
% 267.46/208.72 |
% 267.46/208.72 | Using (2984) and (2993) yields:
% 267.46/208.72 | (821) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (28382) op(all_0_25_25, e4) = e2
% 267.46/208.72 | (539) e4 = e2
% 267.46/208.72 |
% 267.46/208.72 | Equations (539) can reduce 19 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (1114) ~ (all_0_20_20 = e2)
% 267.46/208.72 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (2309), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (1175) all_0_20_20 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (1175) can reduce 1409 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (1409) ~ (all_0_20_20 = e1)
% 267.46/208.72 | (835) all_0_20_20 = e0
% 267.46/208.72 |
% 267.46/208.72 | Equations (835) can reduce 839 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (562) ~ (all_0_19_19 = e3)
% 267.46/208.72 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (4315), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (663) all_0_19_19 = e2
% 267.46/208.72 |
% 267.46/208.72 | Equations (663) can reduce 2785 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (2785) ~ (all_0_19_19 = e2)
% 267.46/208.72 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (345), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (2703) all_0_19_19 = e0
% 267.46/208.72 |
% 267.46/208.72 | Equations (2703) can reduce 381 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (381) ~ (all_0_19_19 = e0)
% 267.46/208.72 | (28401) all_0_24_24 = e0 | all_0_29_29 = e0 | all_0_34_34 = e0 | all_0_39_39 = e0
% 267.46/208.72 |
% 267.46/208.72 +-Applying beta-rule and splitting (4319), into two cases.
% 267.46/208.72 |-Branch one:
% 267.46/208.72 | (716) all_0_19_19 = e1
% 267.46/208.72 |
% 267.46/208.72 | Equations (716) can reduce 720 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.72 |-Branch two:
% 267.46/208.72 | (720) ~ (all_0_19_19 = e1)
% 267.46/208.72 | (2703) all_0_19_19 = e0
% 267.46/208.72 |
% 267.46/208.72 | Equations (2703) can reduce 381 to:
% 267.46/208.72 | (366) $false
% 267.46/208.72 |
% 267.46/208.72 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (566) ~ (all_0_25_25 = e3)
% 267.46/208.73 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.46/208.73 |
% 267.46/208.73 +-Applying beta-rule and splitting (2035), into two cases.
% 267.46/208.73 |-Branch one:
% 267.46/208.73 | (543) all_0_27_27 = e1
% 267.46/208.73 |
% 267.46/208.73 | Combining equations (443,543) yields a new equation:
% 267.46/208.73 | (717) e2 = e1
% 267.46/208.73 |
% 267.46/208.73 | Simplifying 717 yields:
% 267.46/208.73 | (718) e2 = e1
% 267.46/208.73 |
% 267.46/208.73 | Equations (718) can reduce 329 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (402) ~ (all_0_27_27 = e1)
% 267.46/208.73 | (2041) all_0_28_28 = e1 | all_0_29_29 = e1
% 267.46/208.73 |
% 267.46/208.73 +-Applying beta-rule and splitting (2041), into two cases.
% 267.46/208.73 |-Branch one:
% 267.46/208.73 | (1041) all_0_28_28 = e1
% 267.46/208.73 |
% 267.46/208.73 | Equations (1041) can reduce 421 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (421) ~ (all_0_28_28 = e1)
% 267.46/208.73 | (945) all_0_29_29 = e1
% 267.46/208.73 |
% 267.46/208.73 | Equations (945) can reduce 62 to:
% 267.46/208.73 | (946) ~ (all_0_25_25 = e1)
% 267.46/208.73 |
% 267.46/208.73 +-Applying beta-rule and splitting (3158), into two cases.
% 267.46/208.73 |-Branch one:
% 267.46/208.73 | (3159) all_0_25_25 = e2
% 267.46/208.73 |
% 267.46/208.73 | Equations (3159) can reduce 646 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (646) ~ (all_0_25_25 = e2)
% 267.46/208.73 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 267.46/208.73 |
% 267.46/208.73 +-Applying beta-rule and splitting (241), into two cases.
% 267.46/208.73 |-Branch one:
% 267.46/208.73 | (1921) all_0_25_25 = e0
% 267.46/208.73 |
% 267.46/208.73 | Equations (1921) can reduce 1925 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (1925) ~ (all_0_25_25 = e0)
% 267.46/208.73 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.46/208.73 |
% 267.46/208.73 +-Applying beta-rule and splitting (3162), into two cases.
% 267.46/208.73 |-Branch one:
% 267.46/208.73 | (950) all_0_25_25 = e1
% 267.46/208.73 |
% 267.46/208.73 | Equations (950) can reduce 946 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (946) ~ (all_0_25_25 = e1)
% 267.46/208.73 | (1921) all_0_25_25 = e0
% 267.46/208.73 |
% 267.46/208.73 | Equations (1921) can reduce 1925 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (869) ~ (all_0_17_17 = e4)
% 267.46/208.73 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 267.46/208.73 |
% 267.46/208.73 +-Applying beta-rule and splitting (870), into two cases.
% 267.46/208.73 |-Branch one:
% 267.46/208.73 | (887) all_0_18_18 = e4
% 267.46/208.73 |
% 267.46/208.73 | Equations (887) can reduce 1046 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (1046) ~ (all_0_18_18 = e4)
% 267.46/208.73 | (711) all_0_19_19 = e4
% 267.46/208.73 |
% 267.46/208.73 | Equations (711) can reduce 714 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (509) ~ (all_0_30_30 = e4)
% 267.46/208.73 | (1161) all_0_35_35 = e4
% 267.46/208.73 |
% 267.46/208.73 | Equations (1161) can reduce 514 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (582) ~ (all_0_26_26 = e4)
% 267.46/208.73 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.46/208.73 |
% 267.46/208.73 +-Applying beta-rule and splitting (1240), into two cases.
% 267.46/208.73 |-Branch one:
% 267.46/208.73 | (435) all_0_27_27 = e4
% 267.46/208.73 |
% 267.46/208.73 | Combining equations (443,435) yields a new equation:
% 267.46/208.73 | (539) e4 = e2
% 267.46/208.73 |
% 267.46/208.73 | Equations (539) can reduce 19 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (404) ~ (all_0_27_27 = e4)
% 267.46/208.73 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 267.46/208.73 |
% 267.46/208.73 +-Applying beta-rule and splitting (1245), into two cases.
% 267.46/208.73 |-Branch one:
% 267.46/208.73 | (892) all_0_28_28 = e4
% 267.46/208.73 |
% 267.46/208.73 | Equations (892) can reduce 890 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (890) ~ (all_0_28_28 = e4)
% 267.46/208.73 | (1250) all_0_29_29 = e4
% 267.46/208.73 |
% 267.46/208.73 | Equations (1250) can reduce 724 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (578) ~ (all_0_23_23 = e4)
% 267.46/208.73 | (685) all_0_24_24 = e4
% 267.46/208.73 |
% 267.46/208.73 | Equations (685) can reduce 580 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (507) ~ (all_0_33_33 = e1)
% 267.46/208.73 | (1254) all_0_33_33 = e0
% 267.46/208.73 |
% 267.46/208.73 | Equations (1254) can reduce 399 to:
% 267.46/208.73 | (366) $false
% 267.46/208.73 |
% 267.46/208.73 |-The branch is then unsatisfiable
% 267.46/208.73 |-Branch two:
% 267.46/208.73 | (410) all_0_33_33 = e3
% 267.48/208.73 | (28462) (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 267.48/208.73 |
% 267.48/208.73 | From (410)(410) and (148) follows:
% 267.48/208.73 | (14948) op(e3, e3) = e1
% 267.48/208.73 |
% 267.48/208.73 | Instantiating formula (97) with e3, e3, e1, e3 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields:
% 267.48/208.73 | (706) e3 = e1
% 267.48/208.73 |
% 267.48/208.73 | Equations (706) can reduce 318 to:
% 267.48/208.73 | (366) $false
% 267.48/208.73 |
% 267.48/208.73 |-The branch is then unsatisfiable
% 267.48/208.73 |-Branch two:
% 267.48/208.73 | (500) ~ (all_0_27_27 = e2)
% 267.48/208.73 | (542) all_0_27_27 = e1 | all_0_27_27 = e0
% 267.48/208.73 |
% 267.48/208.73 +-Applying beta-rule and splitting (542), into two cases.
% 267.48/208.73 |-Branch one:
% 267.48/208.73 | (543) all_0_27_27 = e1
% 267.48/208.73 |
% 267.48/208.73 | Equations (543) can reduce 402 to:
% 267.48/208.73 | (366) $false
% 267.48/208.73 |
% 267.48/208.73 |-The branch is then unsatisfiable
% 267.48/208.73 |-Branch two:
% 267.48/208.73 | (402) ~ (all_0_27_27 = e1)
% 267.48/208.73 | (546) all_0_27_27 = e0
% 267.48/208.73 |
% 267.48/208.73 | Equations (546) can reduce 434 to:
% 267.48/208.73 | (366) $false
% 267.48/208.73 |
% 267.48/208.73 |-The branch is then unsatisfiable
% 267.48/208.73 |-Branch two:
% 267.48/208.73 | (439) all_0_27_27 = e3
% 267.48/208.73 | (28474) (all_0_8_8 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_26_26 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_26_26) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_26_26, all_0_26_26) = all_0_7_7)))
% 267.48/208.73 |
% 267.48/208.73 | From (439)(439) and (99) follows:
% 267.48/208.73 | (6120) op(e3, e3) = e2
% 267.48/208.73 |
% 267.48/208.73 | Instantiating formula (97) with e3, e3, e2, e3 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e2, yields:
% 267.48/208.73 | (764) e3 = e2
% 267.48/208.73 |
% 267.48/208.73 | Equations (764) can reduce 56 to:
% 267.48/208.73 | (366) $false
% 267.48/208.73 |
% 267.48/208.73 |-The branch is then unsatisfiable
% 267.48/208.73 |-Branch two:
% 267.48/208.73 | (543) all_0_27_27 = e1
% 267.48/208.73 | (15025) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 267.48/208.73 |
% 267.48/208.73 | From (543)(543) and (99) follows:
% 267.48/208.73 | (4765) op(e1, e1) = e2
% 267.48/208.73 |
% 267.48/208.73 | Instantiating formula (97) with e1, e1, e2, all_0_33_33 and discharging atoms op(e1, e1) = all_0_33_33, op(e1, e1) = e2, yields:
% 267.48/208.73 | (414) all_0_33_33 = e2
% 267.48/208.73 |
% 267.48/208.73 | Equations (414) can reduce 401 to:
% 267.48/208.73 | (366) $false
% 267.48/208.73 |
% 267.48/208.73 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (414) all_0_33_33 = e2
% 267.48/208.74 | (14988) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 208 to:
% 267.48/208.74 | (666) ~ (all_0_18_18 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 189 to:
% 267.48/208.74 | (810) ~ (all_0_23_23 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 237 to:
% 267.48/208.74 | (649) ~ (all_0_28_28 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 283 to:
% 267.48/208.74 | (740) ~ (all_0_30_30 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 246 to:
% 267.48/208.74 | (1099) ~ (all_0_31_31 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 201 to:
% 267.48/208.74 | (508) ~ (all_0_32_32 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 328 to:
% 267.48/208.74 | (671) ~ (all_0_34_34 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 671 yields:
% 267.48/208.74 | (672) ~ (all_0_34_34 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 324 to:
% 267.48/208.74 | (1130) ~ (all_0_38_38 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 1130 yields:
% 267.48/208.74 | (1084) ~ (all_0_38_38 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 405 to:
% 267.48/208.74 | (444) ~ (e4 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 444 yields:
% 267.48/208.74 | (19) ~ (e4 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 399 to:
% 267.48/208.74 | (347) ~ (e2 = e0)
% 267.48/208.74 |
% 267.48/208.74 | From (414)(414) and (148) follows:
% 267.48/208.74 | (14969) op(e2, e2) = e1
% 267.48/208.74 |
% 267.48/208.74 | Instantiating formula (97) with e2, e2, e1, all_0_27_27 and discharging atoms op(e2, e2) = all_0_27_27, op(e2, e2) = e1, yields:
% 267.48/208.74 | (543) all_0_27_27 = e1
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 3 to:
% 267.48/208.74 | (1501) ~ (all_0_17_17 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 341 to:
% 267.48/208.74 | (1018) ~ (all_0_22_22 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 289 to:
% 267.48/208.74 | (946) ~ (all_0_25_25 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 100 to:
% 267.48/208.74 | (1008) ~ (all_0_26_26 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 106 to:
% 267.48/208.74 | (4011) ~ (all_0_28_28 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 4011 yields:
% 267.48/208.74 | (421) ~ (all_0_28_28 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 248 to:
% 267.48/208.74 | (3164) ~ (all_0_29_29 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 3164 yields:
% 267.48/208.74 | (952) ~ (all_0_29_29 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 149 to:
% 267.48/208.74 | (4691) ~ (all_0_32_32 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 4691 yields:
% 267.48/208.74 | (424) ~ (all_0_32_32 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 220 to:
% 267.48/208.74 | (2561) ~ (all_0_37_37 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 2561 yields:
% 267.48/208.74 | (2562) ~ (all_0_37_37 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 404 to:
% 267.48/208.74 | (477) ~ (e4 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 477 yields:
% 267.48/208.74 | (65) ~ (e4 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 434 to:
% 267.48/208.74 | (37) ~ (e1 = e0)
% 267.48/208.74 |
% 267.48/208.74 | From (543)(543) and (99) follows:
% 267.48/208.74 | (4765) op(e1, e1) = e2
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (350), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (402) ~ (all_0_27_27 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 402 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (543) all_0_27_27 = e1
% 267.48/208.74 | (15017) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (89), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (401) ~ (all_0_33_33 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 401 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (414) all_0_33_33 = e2
% 267.48/208.74 | (15005) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (349), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (402) ~ (all_0_27_27 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 402 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (543) all_0_27_27 = e1
% 267.48/208.74 | (15001) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (45), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (401) ~ (all_0_33_33 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 401 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (414) all_0_33_33 = e2
% 267.48/208.74 | (15030) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (223), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (402) ~ (all_0_27_27 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 402 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (543) all_0_27_27 = e1
% 267.48/208.74 | (14993) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (152), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (402) ~ (all_0_27_27 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 402 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (543) all_0_27_27 = e1
% 267.48/208.74 | (15025) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (151), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (402) ~ (all_0_27_27 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 402 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (543) all_0_27_27 = e1
% 267.48/208.74 | (14952) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (90), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (401) ~ (all_0_33_33 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 401 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (414) all_0_33_33 = e2
% 267.48/208.74 | (14957) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (342), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (401) ~ (all_0_33_33 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 401 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (414) all_0_33_33 = e2
% 267.48/208.74 | (15013) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (44), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (401) ~ (all_0_33_33 = e2)
% 267.48/208.74 |
% 267.48/208.74 | Equations (414) can reduce 401 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (414) all_0_33_33 = e2
% 267.48/208.74 | (14997) (all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (224), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (402) ~ (all_0_27_27 = e1)
% 267.48/208.74 |
% 267.48/208.74 | Equations (543) can reduce 402 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (543) all_0_27_27 = e1
% 267.48/208.74 | (15009) (all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)))
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (163), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (701) all_0_16_16 = e4
% 267.48/208.74 |
% 267.48/208.74 | Equations (701) can reduce 236 to:
% 267.48/208.74 | (6514) ~ (all_0_19_19 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 6514 yields:
% 267.48/208.74 | (714) ~ (all_0_19_19 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Equations (701) can reduce 139 to:
% 267.48/208.74 | (581) ~ (all_0_26_26 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 581 yields:
% 267.48/208.74 | (582) ~ (all_0_26_26 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Equations (701) can reduce 10 to:
% 267.48/208.74 | (583) ~ (all_0_31_31 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 583 yields:
% 267.48/208.74 | (584) ~ (all_0_31_31 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Equations (701) can reduce 64 to:
% 267.48/208.74 | (585) ~ (all_0_36_36 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 585 yields:
% 267.48/208.74 | (586) ~ (all_0_36_36 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Equations (701) can reduce 458 to:
% 267.48/208.74 | (277) ~ (e4 = e3)
% 267.48/208.74 |
% 267.48/208.74 | From (701) and (20) follows:
% 267.48/208.74 | (9409) op(e4, e3) = e4
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (327), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (768) all_0_30_30 = e4
% 267.48/208.74 |
% 267.48/208.74 | Equations (768) can reduce 116 to:
% 267.48/208.74 | (496) ~ (all_0_20_20 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Equations (768) can reduce 58 to:
% 267.48/208.74 | (501) ~ (all_0_25_25 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Equations (768) can reduce 217 to:
% 267.48/208.74 | (583) ~ (all_0_31_31 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Simplifying 583 yields:
% 267.48/208.74 | (584) ~ (all_0_31_31 = e4)
% 267.48/208.74 |
% 267.48/208.74 | Equations (768) can reduce 1878 to:
% 267.48/208.74 | (287) ~ (e4 = e0)
% 267.48/208.74 |
% 267.48/208.74 | From (768) and (238) follows:
% 267.48/208.74 | (26221) op(all_0_18_18, e4) = e1
% 267.48/208.74 |
% 267.48/208.74 | From (768) and (290) follows:
% 267.48/208.74 | (2823) op(e4, all_0_18_18) = e4
% 267.48/208.74 |
% 267.48/208.74 +-Applying beta-rule and splitting (285), into two cases.
% 267.48/208.74 |-Branch one:
% 267.48/208.74 | (1158) all_0_25_25 = e4
% 267.48/208.74 |
% 267.48/208.74 | Equations (1158) can reduce 501 to:
% 267.48/208.74 | (366) $false
% 267.48/208.74 |
% 267.48/208.74 |-The branch is then unsatisfiable
% 267.48/208.74 |-Branch two:
% 267.48/208.74 | (501) ~ (all_0_25_25 = e4)
% 267.48/208.74 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.48/208.74 |
% 267.48/208.75 +-Applying beta-rule and splitting (1217), into two cases.
% 267.48/208.75 |-Branch one:
% 267.48/208.75 | (1237) all_0_26_26 = e4
% 267.48/208.75 |
% 267.48/208.75 | Equations (1237) can reduce 582 to:
% 267.48/208.75 | (366) $false
% 267.48/208.75 |
% 267.48/208.75 |-The branch is then unsatisfiable
% 267.48/208.75 |-Branch two:
% 267.48/208.75 | (582) ~ (all_0_26_26 = e4)
% 267.48/208.75 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.48/208.75 |
% 267.48/208.75 +-Applying beta-rule and splitting (1240), into two cases.
% 267.48/208.75 |-Branch one:
% 267.48/208.75 | (435) all_0_27_27 = e4
% 267.48/208.75 |
% 267.48/208.75 | Combining equations (543,435) yields a new equation:
% 267.48/208.75 | (480) e4 = e1
% 267.48/208.75 |
% 267.48/208.75 | Equations (480) can reduce 65 to:
% 267.48/208.75 | (366) $false
% 267.48/208.75 |
% 267.48/208.75 |-The branch is then unsatisfiable
% 267.48/208.75 |-Branch two:
% 267.48/208.75 | (404) ~ (all_0_27_27 = e4)
% 267.48/208.75 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 267.48/208.75 |
% 267.48/208.75 +-Applying beta-rule and splitting (1245), into two cases.
% 267.48/208.75 |-Branch one:
% 267.48/208.75 | (892) all_0_28_28 = e4
% 267.48/208.75 |
% 267.48/208.75 | Equations (892) can reduce 300 to:
% 267.48/208.75 | (1046) ~ (all_0_18_18 = e4)
% 267.48/208.75 |
% 267.48/208.75 | Equations (892) can reduce 86 to:
% 267.48/208.75 | (578) ~ (all_0_23_23 = e4)
% 267.48/208.75 |
% 267.48/208.75 | Equations (892) can reduce 193 to:
% 267.48/208.75 | (501) ~ (all_0_25_25 = e4)
% 267.48/208.75 |
% 267.48/208.75 | Equations (892) can reduce 73 to:
% 267.48/208.75 | (2797) ~ (all_0_29_29 = e4)
% 267.48/208.75 |
% 267.48/208.75 | Simplifying 2797 yields:
% 267.48/208.75 | (724) ~ (all_0_29_29 = e4)
% 267.48/208.75 |
% 267.48/208.75 | From (892) and (315) follows:
% 267.48/208.75 | (2843) op(e4, all_0_32_32) = e1
% 267.48/208.75 |
% 267.48/208.75 +-Applying beta-rule and splitting (256), into two cases.
% 267.48/208.75 |-Branch one:
% 267.48/208.75 | (1453) all_0_20_20 = e4
% 267.48/208.75 |
% 267.48/208.75 | Equations (1453) can reduce 496 to:
% 267.48/208.75 | (366) $false
% 267.48/208.75 |
% 267.48/208.75 |-The branch is then unsatisfiable
% 267.48/208.75 |-Branch two:
% 267.48/208.75 | (496) ~ (all_0_20_20 = e4)
% 267.48/208.75 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 267.48/208.75 |
% 267.48/208.75 +-Applying beta-rule and splitting (7219), into two cases.
% 267.48/208.75 |-Branch one:
% 267.48/208.75 | (449) all_0_21_21 = e4
% 267.48/208.75 |
% 267.48/208.75 | Combining equations (449,453) yields a new equation:
% 267.48/208.75 | (690) e4 = e3
% 267.48/208.75 |
% 267.48/208.75 | Simplifying 690 yields:
% 267.48/208.75 | (691) e4 = e3
% 267.48/208.75 |
% 267.48/208.75 | Equations (691) can reduce 277 to:
% 267.48/208.75 | (366) $false
% 267.48/208.75 |
% 267.48/208.75 |-The branch is then unsatisfiable
% 267.48/208.75 |-Branch two:
% 267.48/208.75 | (448) ~ (all_0_21_21 = e4)
% 267.48/208.75 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 267.48/208.75 |
% 267.48/208.75 +-Applying beta-rule and splitting (7224), into two cases.
% 267.48/208.75 |-Branch one:
% 267.48/208.75 | (831) all_0_22_22 = e4
% 267.48/208.75 |
% 267.48/208.75 | Equations (831) can reduce 774 to:
% 267.48/208.75 | (277) ~ (e4 = e3)
% 267.48/208.75 |
% 267.48/208.75 +-Applying beta-rule and splitting (15017), into two cases.
% 267.48/208.75 |-Branch one:
% 267.48/208.75 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 267.48/208.75 |
% 267.48/208.75 | Applying alpha-rule on (18220) yields:
% 267.48/208.75 | (18221) all_0_8_8 = all_0_28_28
% 267.48/208.75 | (890) ~ (all_0_28_28 = e4)
% 267.48/208.75 |
% 267.48/208.75 | Equations (892) can reduce 890 to:
% 267.48/208.75 | (366) $false
% 267.48/208.75 |
% 267.48/208.75 |-The branch is then unsatisfiable
% 267.48/208.75 |-Branch two:
% 267.48/208.75 | (18241) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 267.48/208.75 |
% 267.48/208.75 | Applying alpha-rule on (18241) yields:
% 267.48/208.75 | (18221) all_0_8_8 = all_0_28_28
% 267.48/208.75 | (18243) ( ~ (all_0_6_6 = e0) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 267.48/208.75 |
% 267.48/208.75 | Combining equations (892,18221) yields a new equation:
% 267.48/208.75 | (18227) all_0_8_8 = e4
% 267.48/208.75 |
% 267.48/208.75 +-Applying beta-rule and splitting (15025), into two cases.
% 267.48/208.75 |-Branch one:
% 267.48/208.75 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 267.48/208.75 |
% 267.48/208.75 | Applying alpha-rule on (18220) yields:
% 267.48/208.75 | (18221) all_0_8_8 = all_0_28_28
% 267.48/208.75 | (890) ~ (all_0_28_28 = e4)
% 267.48/208.75 |
% 267.48/208.75 | Combining equations (18221,18227) yields a new equation:
% 267.48/208.75 | (18238) all_0_28_28 = e4
% 267.48/208.75 |
% 267.48/208.75 | Simplifying 18238 yields:
% 267.48/208.75 | (892) all_0_28_28 = e4
% 267.48/208.75 |
% 267.48/208.75 | Equations (892) can reduce 890 to:
% 267.48/208.75 | (366) $false
% 267.48/208.75 |
% 267.48/208.75 |-The branch is then unsatisfiable
% 267.48/208.75 |-Branch two:
% 267.48/208.75 | (18224) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 267.48/208.75 |
% 267.48/208.75 | Applying alpha-rule on (18224) yields:
% 267.48/208.75 | (18221) all_0_8_8 = all_0_28_28
% 267.48/208.76 | (18226) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 267.48/208.76 |
% 267.48/208.76 | Combining equations (18221,18227) yields a new equation:
% 267.48/208.76 | (18238) all_0_28_28 = e4
% 267.48/208.76 |
% 267.48/208.76 | Simplifying 18238 yields:
% 267.48/208.76 | (892) all_0_28_28 = e4
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (18226), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (19547) ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6
% 267.48/208.76 |
% 267.48/208.76 | Applying alpha-rule on (19547) yields:
% 267.48/208.76 | (19548) ~ (all_0_6_6 = e3)
% 267.48/208.76 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 267.48/208.76 |
% 267.48/208.76 | From (892) and (19549) follows:
% 267.48/208.76 | (20760) op(e2, e4) = all_0_6_6
% 267.48/208.76 |
% 267.48/208.76 | Instantiating formula (97) with e3, e4, e1, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 267.48/208.76 | (732) all_0_20_20 = e1 | ~ (op(e3, e4) = e1)
% 267.48/208.76 |
% 267.48/208.76 | Instantiating formula (97) with e4, e1, e4, e1 yields:
% 267.48/208.76 | (28635) e4 = e1 | ~ (op(e4, e1) = e4) | ~ (op(e4, e1) = e1)
% 267.48/208.76 |
% 267.48/208.76 | Instantiating formula (97) with e4, e3, e1, e4 and discharging atoms op(e4, e3) = e4, yields:
% 267.48/208.76 | (28636) e4 = e1 | ~ (op(e4, e3) = e1)
% 267.48/208.76 |
% 267.48/208.76 | Instantiating formula (97) with e2, e4, all_0_6_6, all_0_25_25 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = all_0_25_25, yields:
% 267.48/208.76 | (20761) all_0_6_6 = all_0_25_25
% 267.48/208.76 |
% 267.48/208.76 | Equations (20761) can reduce 19548 to:
% 267.48/208.76 | (566) ~ (all_0_25_25 = e3)
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (168), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (2438) all_0_25_25 = e3
% 267.48/208.76 |
% 267.48/208.76 | Equations (2438) can reduce 566 to:
% 267.48/208.76 | (366) $false
% 267.48/208.76 |
% 267.48/208.76 |-The branch is then unsatisfiable
% 267.48/208.76 |-Branch two:
% 267.48/208.76 | (566) ~ (all_0_25_25 = e3)
% 267.48/208.76 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (2442), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (2443) all_0_26_26 = e3
% 267.48/208.76 |
% 267.48/208.76 | Equations (2443) can reduce 504 to:
% 267.48/208.76 | (366) $false
% 267.48/208.76 |
% 267.48/208.76 |-The branch is then unsatisfiable
% 267.48/208.76 |-Branch two:
% 267.48/208.76 | (504) ~ (all_0_26_26 = e3)
% 267.48/208.76 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (2448), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (439) all_0_27_27 = e3
% 267.48/208.76 |
% 267.48/208.76 | Combining equations (543,439) yields a new equation:
% 267.48/208.76 | (706) e3 = e1
% 267.48/208.76 |
% 267.48/208.76 | Equations (706) can reduce 318 to:
% 267.48/208.76 | (366) $false
% 267.48/208.76 |
% 267.48/208.76 |-The branch is then unsatisfiable
% 267.48/208.76 |-Branch two:
% 267.48/208.76 | (400) ~ (all_0_27_27 = e3)
% 267.48/208.76 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (245), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (1158) all_0_25_25 = e4
% 267.48/208.76 |
% 267.48/208.76 | Equations (1158) can reduce 501 to:
% 267.48/208.76 | (366) $false
% 267.48/208.76 |
% 267.48/208.76 |-The branch is then unsatisfiable
% 267.48/208.76 |-Branch two:
% 267.48/208.76 | (501) ~ (all_0_25_25 = e4)
% 267.48/208.76 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (111), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (468) all_0_15_15 = e3
% 267.48/208.76 |
% 267.48/208.76 | Combining equations (468,483) yields a new equation:
% 267.48/208.76 | (979) e3 = e0
% 267.48/208.76 |
% 267.48/208.76 | Simplifying 979 yields:
% 267.48/208.76 | (980) e3 = e0
% 267.48/208.76 |
% 267.48/208.76 | Equations (980) can reduce 88 to:
% 267.48/208.76 | (366) $false
% 267.48/208.76 |
% 267.48/208.76 |-The branch is then unsatisfiable
% 267.48/208.76 |-Branch two:
% 267.48/208.76 | (433) ~ (all_0_15_15 = e3)
% 267.48/208.76 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (3136), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (2438) all_0_25_25 = e3
% 267.48/208.76 |
% 267.48/208.76 | Equations (2438) can reduce 566 to:
% 267.48/208.76 | (366) $false
% 267.48/208.76 |
% 267.48/208.76 |-The branch is then unsatisfiable
% 267.48/208.76 |-Branch two:
% 267.48/208.76 | (566) ~ (all_0_25_25 = e3)
% 267.48/208.76 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (3158), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (3159) all_0_25_25 = e2
% 267.48/208.76 |
% 267.48/208.76 | Equations (3159) can reduce 566 to:
% 267.48/208.76 | (658) ~ (e3 = e2)
% 267.48/208.76 |
% 267.48/208.76 | Simplifying 658 yields:
% 267.48/208.76 | (56) ~ (e3 = e2)
% 267.48/208.76 |
% 267.48/208.76 | Equations (3159) can reduce 1925 to:
% 267.48/208.76 | (347) ~ (e2 = e0)
% 267.48/208.76 |
% 267.48/208.76 +-Applying beta-rule and splitting (7536), into two cases.
% 267.48/208.76 |-Branch one:
% 267.48/208.76 | (903) all_0_20_20 = e3
% 267.48/208.76 |
% 267.48/208.76 | Equations (903) can reduce 564 to:
% 267.48/208.76 | (366) $false
% 267.48/208.76 |
% 267.48/208.76 |-The branch is then unsatisfiable
% 267.48/208.76 |-Branch two:
% 267.48/208.76 | (564) ~ (all_0_20_20 = e3)
% 267.48/208.76 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 267.48/208.76 |
% 267.48/208.77 +-Applying beta-rule and splitting (8890), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (2438) all_0_25_25 = e3
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (3159,2438) yields a new equation:
% 267.48/208.77 | (764) e3 = e2
% 267.48/208.77 |
% 267.48/208.77 | Equations (764) can reduce 56 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (566) ~ (all_0_25_25 = e3)
% 267.48/208.77 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (8920), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (759) all_0_30_30 = e3
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (768,759) yields a new equation:
% 267.48/208.77 | (690) e4 = e3
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 690 yields:
% 267.48/208.77 | (691) e4 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (691) can reduce 277 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (568) ~ (all_0_30_30 = e3)
% 267.48/208.77 | (814) all_0_35_35 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (814) can reduce 121 to:
% 267.48/208.77 | (776) ~ (all_0_37_37 = e3)
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 776 yields:
% 267.48/208.77 | (777) ~ (all_0_37_37 = e3)
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (269), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1134) all_0_18_18 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (1134) can reduce 74 to:
% 267.48/208.77 | (558) ~ (all_0_17_17 = e3)
% 267.48/208.77 |
% 267.48/208.77 | Equations (1134) can reduce 1046 to:
% 267.48/208.77 | (695) ~ (e4 = e3)
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 695 yields:
% 267.48/208.77 | (277) ~ (e4 = e3)
% 267.48/208.77 |
% 267.48/208.77 | Equations (1134) can reduce 1156 to:
% 267.48/208.77 | (88) ~ (e3 = e0)
% 267.48/208.77 |
% 267.48/208.77 | From (1134) and (26221) follows:
% 267.48/208.77 | (1171) op(e3, e4) = e1
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (732), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1172) ~ (op(e3, e4) = e1)
% 267.48/208.77 |
% 267.48/208.77 | Using (1171) and (1172) yields:
% 267.48/208.77 | (821) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (1171) op(e3, e4) = e1
% 267.48/208.77 | (1175) all_0_20_20 = e1
% 267.48/208.77 |
% 267.48/208.77 | Equations (1175) can reduce 839 to:
% 267.48/208.77 | (37) ~ (e1 = e0)
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (2453), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (896) all_0_28_28 = e3
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (892,896) yields a new equation:
% 267.48/208.77 | (690) e4 = e3
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 690 yields:
% 267.48/208.77 | (691) e4 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (691) can reduce 277 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (1035) ~ (all_0_28_28 = e3)
% 267.48/208.77 | (1023) all_0_29_29 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (1023) can reduce 724 to:
% 267.48/208.77 | (695) ~ (e4 = e3)
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 695 yields:
% 267.48/208.77 | (277) ~ (e4 = e3)
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (232), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1970) all_0_17_17 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (1970) can reduce 558 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (558) ~ (all_0_17_17 = e3)
% 267.48/208.77 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (241), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1921) all_0_25_25 = e0
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (3159,1921) yields a new equation:
% 267.48/208.77 | (836) e2 = e0
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 836 yields:
% 267.48/208.77 | (551) e2 = e0
% 267.48/208.77 |
% 267.48/208.77 | Equations (551) can reduce 347 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (1925) ~ (all_0_25_25 = e0)
% 267.48/208.77 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (1926), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (883) all_0_26_26 = e0
% 267.48/208.77 |
% 267.48/208.77 | Equations (883) can reduce 145 to:
% 267.48/208.77 | (1856) ~ (all_0_31_31 = e0)
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 1856 yields:
% 267.48/208.77 | (1064) ~ (all_0_31_31 = e0)
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (115), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1446) all_0_31_31 = e4
% 267.48/208.77 |
% 267.48/208.77 | Equations (1446) can reduce 584 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (584) ~ (all_0_31_31 = e4)
% 267.48/208.77 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (1631), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (763) all_0_31_31 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (763) can reduce 510 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (510) ~ (all_0_31_31 = e3)
% 267.48/208.77 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (1973), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (857) all_0_22_22 = e3
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (831,857) yields a new equation:
% 267.48/208.77 | (690) e4 = e3
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 690 yields:
% 267.48/208.77 | (691) e4 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (691) can reduce 277 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (774) ~ (all_0_22_22 = e3)
% 267.48/208.77 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (831) can reduce 774 to:
% 267.48/208.77 | (277) ~ (e4 = e3)
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (155), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (759) all_0_30_30 = e3
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (759,768) yields a new equation:
% 267.48/208.77 | (691) e4 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (691) can reduce 277 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (568) ~ (all_0_30_30 = e3)
% 267.48/208.77 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (1635), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (751) all_0_31_31 = e2
% 267.48/208.77 |
% 267.48/208.77 | Equations (751) can reduce 1099 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (1099) ~ (all_0_31_31 = e2)
% 267.48/208.77 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (762), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (763) all_0_31_31 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (763) can reduce 510 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (510) ~ (all_0_31_31 = e3)
% 267.48/208.77 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (1639), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1010) all_0_31_31 = e1
% 267.48/208.77 |
% 267.48/208.77 | Equations (1010) can reduce 584 to:
% 267.48/208.77 | (477) ~ (e4 = e1)
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 477 yields:
% 267.48/208.77 | (65) ~ (e4 = e1)
% 267.48/208.77 |
% 267.48/208.77 | Equations (1010) can reduce 510 to:
% 267.48/208.77 | (429) ~ (e3 = e1)
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 429 yields:
% 267.48/208.77 | (318) ~ (e3 = e1)
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (3115), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (439) all_0_27_27 = e3
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (543,439) yields a new equation:
% 267.48/208.77 | (706) e3 = e1
% 267.48/208.77 |
% 267.48/208.77 | Equations (706) can reduce 318 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (400) ~ (all_0_27_27 = e3)
% 267.48/208.77 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (3120), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (772) all_0_32_32 = e3
% 267.48/208.77 |
% 267.48/208.77 | From (772) and (2843) follows:
% 267.48/208.77 | (2493) op(e4, e3) = e1
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (28636), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (2498) ~ (op(e4, e3) = e1)
% 267.48/208.77 |
% 267.48/208.77 | Using (2493) and (2498) yields:
% 267.48/208.77 | (821) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (2493) op(e4, e3) = e1
% 267.48/208.77 | (480) e4 = e1
% 267.48/208.77 |
% 267.48/208.77 | Equations (480) can reduce 65 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (1089) ~ (all_0_32_32 = e3)
% 267.48/208.77 | (1073) all_0_37_37 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (1073) can reduce 777 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (423) ~ (all_0_31_31 = e1)
% 267.48/208.77 | (1060) all_0_31_31 = e0
% 267.48/208.77 |
% 267.48/208.77 | Equations (1060) can reduce 1064 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (1058) ~ (all_0_26_26 = e0)
% 267.48/208.77 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (2527), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (546) all_0_27_27 = e0
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (543,546) yields a new equation:
% 267.48/208.77 | (960) e1 = e0
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 960 yields:
% 267.48/208.77 | (961) e1 = e0
% 267.48/208.77 |
% 267.48/208.77 | Equations (961) can reduce 37 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (434) ~ (all_0_27_27 = e0)
% 267.48/208.77 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (2533), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1044) all_0_28_28 = e0
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (892,1044) yields a new equation:
% 267.48/208.77 | (842) e4 = e0
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 842 yields:
% 267.48/208.77 | (490) e4 = e0
% 267.48/208.77 |
% 267.48/208.77 | Equations (490) can reduce 287 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (886) ~ (all_0_28_28 = e0)
% 267.48/208.77 | (2537) all_0_29_29 = e0
% 267.48/208.77 |
% 267.48/208.77 | Combining equations (1023,2537) yields a new equation:
% 267.48/208.77 | (979) e3 = e0
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 979 yields:
% 267.48/208.77 | (980) e3 = e0
% 267.48/208.77 |
% 267.48/208.77 | Equations (980) can reduce 88 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (560) ~ (all_0_18_18 = e3)
% 267.48/208.77 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (26), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (887) all_0_18_18 = e4
% 267.48/208.77 |
% 267.48/208.77 | Equations (887) can reduce 1046 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (1046) ~ (all_0_18_18 = e4)
% 267.48/208.77 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (1047), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1134) all_0_18_18 = e3
% 267.48/208.77 |
% 267.48/208.77 | Equations (1134) can reduce 560 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (560) ~ (all_0_18_18 = e3)
% 267.48/208.77 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (1270), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1274) all_0_18_18 = e2
% 267.48/208.77 |
% 267.48/208.77 | Equations (1274) can reduce 666 to:
% 267.48/208.77 | (366) $false
% 267.48/208.77 |
% 267.48/208.77 |-The branch is then unsatisfiable
% 267.48/208.77 |-Branch two:
% 267.48/208.77 | (666) ~ (all_0_18_18 = e2)
% 267.48/208.77 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 267.48/208.77 |
% 267.48/208.77 +-Applying beta-rule and splitting (1277), into two cases.
% 267.48/208.77 |-Branch one:
% 267.48/208.77 | (1278) all_0_18_18 = e1
% 267.48/208.77 |
% 267.48/208.77 | Equations (1278) can reduce 1046 to:
% 267.48/208.77 | (477) ~ (e4 = e1)
% 267.48/208.77 |
% 267.48/208.77 | Simplifying 477 yields:
% 267.48/208.77 | (65) ~ (e4 = e1)
% 267.48/208.77 |
% 267.48/208.77 | From (1278) and (2823) follows:
% 267.48/208.77 | (1807) op(e4, e1) = e4
% 267.48/208.77 |
% 267.48/208.77 | From (1278) and (61) follows:
% 267.48/208.77 | (16329) op(e4, e1) = e1
% 267.48/208.77 |
% 267.48/208.78 +-Applying beta-rule and splitting (28635), into two cases.
% 267.48/208.78 |-Branch one:
% 267.48/208.78 | (4863) ~ (op(e4, e1) = e4)
% 267.48/208.78 |
% 267.48/208.78 | Using (1807) and (4863) yields:
% 267.48/208.78 | (821) $false
% 267.48/208.78 |
% 267.48/208.78 |-The branch is then unsatisfiable
% 267.48/208.78 |-Branch two:
% 267.48/208.78 | (1807) op(e4, e1) = e4
% 267.48/208.78 | (23253) e4 = e1 | ~ (op(e4, e1) = e1)
% 267.48/208.78 |
% 267.48/208.78 +-Applying beta-rule and splitting (23253), into two cases.
% 267.48/208.78 |-Branch one:
% 267.48/208.78 | (16330) ~ (op(e4, e1) = e1)
% 267.48/208.78 |
% 267.48/208.78 | Using (16329) and (16330) yields:
% 267.48/208.78 | (821) $false
% 267.48/208.78 |
% 267.48/208.78 |-The branch is then unsatisfiable
% 267.48/208.78 |-Branch two:
% 267.48/208.78 | (16329) op(e4, e1) = e1
% 267.48/208.78 | (480) e4 = e1
% 267.48/208.78 |
% 267.48/208.78 | Equations (480) can reduce 65 to:
% 267.48/208.78 | (366) $false
% 267.48/208.78 |
% 267.48/208.78 |-The branch is then unsatisfiable
% 267.48/208.78 |-Branch two:
% 267.48/208.78 | (419) ~ (all_0_18_18 = e1)
% 267.48/208.78 | (1153) all_0_18_18 = e0
% 267.48/208.78 |
% 267.48/208.78 | Equations (1153) can reduce 1156 to:
% 267.48/208.78 | (366) $false
% 267.48/208.78 |
% 267.48/208.78 |-The branch is then unsatisfiable
% 267.48/208.78 |-Branch two:
% 267.48/208.78 | (646) ~ (all_0_25_25 = e2)
% 267.48/208.78 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 267.48/208.78 |
% 267.48/208.78 +-Applying beta-rule and splitting (3162), into two cases.
% 267.48/208.78 |-Branch one:
% 267.48/208.78 | (950) all_0_25_25 = e1
% 267.48/208.78 |
% 267.48/208.78 | Equations (950) can reduce 946 to:
% 267.48/208.78 | (366) $false
% 267.48/208.78 |
% 267.48/208.78 |-The branch is then unsatisfiable
% 267.48/208.78 |-Branch two:
% 267.48/208.78 | (946) ~ (all_0_25_25 = e1)
% 267.48/208.78 | (1921) all_0_25_25 = e0
% 267.48/208.78 |
% 267.48/208.78 | Equations (1921) can reduce 1925 to:
% 267.48/208.78 | (366) $false
% 267.48/208.78 |
% 267.48/208.78 |-The branch is then unsatisfiable
% 267.48/208.78 |-Branch two:
% 267.48/208.78 | (19925) ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.48/208.78 |
% 267.48/208.78 | Applying alpha-rule on (19925) yields:
% 267.48/208.78 | (19926) ~ (all_0_7_7 = e0)
% 267.48/208.78 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.48/208.78 |
% 267.48/208.78 | From (892)(892) and (19927) follows:
% 267.48/208.78 | (20831) op(e4, e4) = all_0_7_7
% 267.48/208.78 |
% 267.48/208.78 | Instantiating formula (97) with e4, e4, all_0_7_7, e0 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e0, yields:
% 267.48/208.78 | (19929) all_0_7_7 = e0
% 267.48/208.78 |
% 267.48/208.78 | Equations (19929) can reduce 19926 to:
% 267.48/208.78 | (366) $false
% 267.48/208.78 |
% 267.48/208.78 |-The branch is then unsatisfiable
% 267.48/208.79 |-Branch two:
% 267.48/208.79 | (576) ~ (all_0_22_22 = e4)
% 267.48/208.79 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 267.48/208.79 |
% 267.48/208.79 +-Applying beta-rule and splitting (7426), into two cases.
% 267.48/208.79 |-Branch one:
% 267.48/208.79 | (1515) all_0_23_23 = e4
% 267.48/208.79 |
% 267.48/208.79 | Equations (1515) can reduce 578 to:
% 267.48/208.79 | (366) $false
% 267.48/208.79 |
% 267.48/208.79 |-The branch is then unsatisfiable
% 267.48/208.79 |-Branch two:
% 267.48/208.79 | (578) ~ (all_0_23_23 = e4)
% 267.48/208.79 | (685) all_0_24_24 = e4
% 267.48/208.79 |
% 267.48/208.79 | Equations (685) can reduce 580 to:
% 267.48/208.79 | (366) $false
% 267.48/208.79 |
% 267.48/208.79 |-The branch is then unsatisfiable
% 267.48/208.79 |-Branch two:
% 267.48/208.79 | (890) ~ (all_0_28_28 = e4)
% 267.48/208.79 | (1250) all_0_29_29 = e4
% 267.48/208.79 |
% 267.48/208.79 | Equations (1250) can reduce 724 to:
% 267.48/208.79 | (366) $false
% 267.48/208.79 |
% 267.48/208.79 |-The branch is then unsatisfiable
% 267.48/208.79 |-Branch two:
% 267.48/208.79 | (509) ~ (all_0_30_30 = e4)
% 267.48/208.79 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.48/208.79 |
% 267.48/208.79 +-Applying beta-rule and splitting (1437), into two cases.
% 267.48/208.79 |-Branch one:
% 267.48/208.79 | (1446) all_0_31_31 = e4
% 267.48/208.79 |
% 267.48/208.79 | Equations (1446) can reduce 584 to:
% 267.48/208.79 | (366) $false
% 267.48/208.79 |
% 267.48/208.79 |-The branch is then unsatisfiable
% 267.48/208.79 |-Branch two:
% 267.48/208.79 | (584) ~ (all_0_31_31 = e4)
% 267.48/208.79 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.48/208.79 |
% 267.48/208.79 +-Applying beta-rule and splitting (1449), into two cases.
% 267.48/208.79 |-Branch one:
% 267.48/208.79 | (1229) all_0_32_32 = e4
% 267.48/208.79 |
% 267.48/208.79 | Equations (1229) can reduce 186 to:
% 267.48/208.79 | (509) ~ (all_0_30_30 = e4)
% 267.48/208.79 |
% 267.48/208.79 | Equations (1229) can reduce 247 to:
% 267.48/208.79 | (584) ~ (all_0_31_31 = e4)
% 267.48/208.79 |
% 267.48/208.79 | Equations (1229) can reduce 199 to:
% 267.48/208.79 | (2206) ~ (all_0_34_34 = e4)
% 267.48/208.79 |
% 267.48/208.79 | Simplifying 2206 yields:
% 267.48/208.79 | (1395) ~ (all_0_34_34 = e4)
% 267.48/208.79 |
% 267.48/208.79 +-Applying beta-rule and splitting (14988), into two cases.
% 267.48/208.79 |-Branch one:
% 267.48/208.79 | (20680) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 267.48/208.79 |
% 267.48/208.79 | Applying alpha-rule on (20680) yields:
% 267.48/208.79 | (20681) all_0_5_5 = all_0_32_32
% 267.48/208.79 | (727) ~ (all_0_32_32 = e4)
% 267.48/208.79 |
% 267.48/208.79 | Equations (1229) can reduce 727 to:
% 267.48/208.79 | (366) $false
% 267.48/208.79 |
% 267.48/208.79 |-The branch is then unsatisfiable
% 267.48/208.79 |-Branch two:
% 267.48/208.79 | (21420) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 267.48/208.79 |
% 267.48/208.79 | Applying alpha-rule on (21420) yields:
% 267.48/208.79 | (20681) all_0_5_5 = all_0_32_32
% 267.48/208.79 | (21422) ( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 267.48/208.79 |
% 267.48/208.79 +-Applying beta-rule and splitting (21422), into two cases.
% 267.48/208.79 |-Branch one:
% 267.48/208.79 | (28859) ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3
% 267.48/208.79 |
% 267.48/208.79 | Applying alpha-rule on (28859) yields:
% 267.48/208.79 | (28860) ~ (all_0_3_3 = e3)
% 267.48/208.80 | (23730) op(e1, all_0_32_32) = all_0_3_3
% 267.48/208.80 |
% 267.48/208.80 | From (1229) and (23730) follows:
% 267.48/208.80 | (23731) op(e1, e4) = all_0_3_3
% 267.48/208.80 |
% 267.48/208.80 | Instantiating formula (97) with e1, e4, all_0_3_3, all_0_30_30 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_30_30, yields:
% 267.48/208.80 | (23733) all_0_3_3 = all_0_30_30
% 267.48/208.80 |
% 267.48/208.80 | Equations (23733) can reduce 28860 to:
% 267.48/208.80 | (568) ~ (all_0_30_30 = e3)
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (239), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (768) all_0_30_30 = e4
% 267.48/208.80 |
% 267.48/208.80 | Equations (768) can reduce 509 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (509) ~ (all_0_30_30 = e4)
% 267.48/208.80 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (771), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (759) all_0_30_30 = e3
% 267.48/208.80 |
% 267.48/208.80 | Equations (759) can reduce 568 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (568) ~ (all_0_30_30 = e3)
% 267.48/208.80 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (782), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (747) all_0_30_30 = e2
% 267.48/208.80 |
% 267.48/208.80 | Equations (747) can reduce 740 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (740) ~ (all_0_30_30 = e2)
% 267.48/208.80 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (786), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (787) all_0_30_30 = e1
% 267.48/208.80 |
% 267.48/208.80 | Equations (787) can reduce 217 to:
% 267.48/208.80 | (1613) ~ (all_0_31_31 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 1613 yields:
% 267.48/208.80 | (423) ~ (all_0_31_31 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Equations (787) can reduce 15 to:
% 267.48/208.80 | (425) ~ (all_0_34_34 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 425 yields:
% 267.48/208.80 | (426) ~ (all_0_34_34 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Equations (787) can reduce 509 to:
% 267.48/208.80 | (477) ~ (e4 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 477 yields:
% 267.48/208.80 | (65) ~ (e4 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Equations (787) can reduce 568 to:
% 267.48/208.80 | (429) ~ (e3 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 429 yields:
% 267.48/208.80 | (318) ~ (e3 = e1)
% 267.48/208.80 |
% 267.48/208.80 | From (787) and (238) follows:
% 267.48/208.80 | (28886) op(all_0_18_18, e1) = e1
% 267.48/208.80 |
% 267.48/208.80 | From (787) and (290) follows:
% 267.48/208.80 | (28887) op(e1, all_0_18_18) = e4
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (155), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (759) all_0_30_30 = e3
% 267.48/208.80 |
% 267.48/208.80 | Combining equations (787,759) yields a new equation:
% 267.48/208.80 | (706) e3 = e1
% 267.48/208.80 |
% 267.48/208.80 | Equations (706) can reduce 318 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (568) ~ (all_0_30_30 = e3)
% 267.48/208.80 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (762), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (763) all_0_31_31 = e3
% 267.48/208.80 |
% 267.48/208.80 | Equations (763) can reduce 510 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (510) ~ (all_0_31_31 = e3)
% 267.48/208.80 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (228), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (921) all_0_16_16 = e1
% 267.48/208.80 |
% 267.48/208.80 | Combining equations (921,701) yields a new equation:
% 267.48/208.80 | (480) e4 = e1
% 267.48/208.80 |
% 267.48/208.80 | Equations (480) can reduce 65 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (985) ~ (all_0_16_16 = e1)
% 267.48/208.80 | (986) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (767), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (772) all_0_32_32 = e3
% 267.48/208.80 |
% 267.48/208.80 | Combining equations (772,1229) yields a new equation:
% 267.48/208.80 | (691) e4 = e3
% 267.48/208.80 |
% 267.48/208.80 | Equations (691) can reduce 277 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (1089) ~ (all_0_32_32 = e3)
% 267.48/208.80 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (115), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (1446) all_0_31_31 = e4
% 267.48/208.80 |
% 267.48/208.80 | Equations (1446) can reduce 584 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (584) ~ (all_0_31_31 = e4)
% 267.48/208.80 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (1090), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (410) all_0_33_33 = e3
% 267.48/208.80 |
% 267.48/208.80 | Combining equations (410,414) yields a new equation:
% 267.48/208.80 | (3874) e3 = e2
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 3874 yields:
% 267.48/208.80 | (764) e3 = e2
% 267.48/208.80 |
% 267.48/208.80 | Equations (764) can reduce 56 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (403) ~ (all_0_33_33 = e3)
% 267.48/208.80 | (1027) all_0_34_34 = e3
% 267.48/208.80 |
% 267.48/208.80 | Equations (1027) can reduce 280 to:
% 267.48/208.80 | (562) ~ (all_0_19_19 = e3)
% 267.48/208.80 |
% 267.48/208.80 | Equations (1027) can reduce 41 to:
% 267.48/208.80 | (898) ~ (all_0_29_29 = e3)
% 267.48/208.80 |
% 267.48/208.80 | Equations (1027) can reduce 188 to:
% 267.48/208.80 | (510) ~ (all_0_31_31 = e3)
% 267.48/208.80 |
% 267.48/208.80 | Equations (1027) can reduce 1395 to:
% 267.48/208.80 | (695) ~ (e4 = e3)
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 695 yields:
% 267.48/208.80 | (277) ~ (e4 = e3)
% 267.48/208.80 |
% 267.48/208.80 | Equations (1027) can reduce 426 to:
% 267.48/208.80 | (318) ~ (e3 = e1)
% 267.48/208.80 |
% 267.48/208.80 | From (1027) and (221) follows:
% 267.48/208.80 | (28923) op(e1, e0) = e3
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (986), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (526) all_0_21_21 = e1
% 267.48/208.80 |
% 267.48/208.80 | Combining equations (453,526) yields a new equation:
% 267.48/208.80 | (933) e3 = e1
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 933 yields:
% 267.48/208.80 | (706) e3 = e1
% 267.48/208.80 |
% 267.48/208.80 | Equations (706) can reduce 318 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (363) ~ (all_0_21_21 = e1)
% 267.48/208.80 | (998) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (998), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (1005) all_0_26_26 = e1
% 267.48/208.80 |
% 267.48/208.80 | Equations (1005) can reduce 1008 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (1008) ~ (all_0_26_26 = e1)
% 267.48/208.80 | (1009) all_0_31_31 = e1 | all_0_36_36 = e1
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (1631), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (763) all_0_31_31 = e3
% 267.48/208.80 |
% 267.48/208.80 | Equations (763) can reduce 510 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (510) ~ (all_0_31_31 = e3)
% 267.48/208.80 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (1635), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (751) all_0_31_31 = e2
% 267.48/208.80 |
% 267.48/208.80 | Equations (751) can reduce 1099 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (1099) ~ (all_0_31_31 = e2)
% 267.48/208.80 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (1639), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (1010) all_0_31_31 = e1
% 267.48/208.80 |
% 267.48/208.80 | Equations (1010) can reduce 423 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (423) ~ (all_0_31_31 = e1)
% 267.48/208.80 | (1060) all_0_31_31 = e0
% 267.48/208.80 |
% 267.48/208.80 | Equations (1060) can reduce 145 to:
% 267.48/208.80 | (1058) ~ (all_0_26_26 = e0)
% 267.48/208.80 |
% 267.48/208.80 | Equations (1060) can reduce 423 to:
% 267.48/208.80 | (395) ~ (e1 = e0)
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 395 yields:
% 267.48/208.80 | (37) ~ (e1 = e0)
% 267.48/208.80 |
% 267.48/208.80 | From (1060) and (25) follows:
% 267.48/208.80 | (8012) op(all_0_23_23, e0) = e1
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (1009), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (1010) all_0_31_31 = e1
% 267.48/208.80 |
% 267.48/208.80 | Combining equations (1060,1010) yields a new equation:
% 267.48/208.80 | (961) e1 = e0
% 267.48/208.80 |
% 267.48/208.80 | Equations (961) can reduce 37 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (423) ~ (all_0_31_31 = e1)
% 267.48/208.80 | (1015) all_0_36_36 = e1
% 267.48/208.80 |
% 267.48/208.80 | Equations (1015) can reduce 170 to:
% 267.48/208.80 | (1008) ~ (all_0_26_26 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Equations (1015) can reduce 586 to:
% 267.48/208.80 | (477) ~ (e4 = e1)
% 267.48/208.80 |
% 267.48/208.80 | Simplifying 477 yields:
% 267.48/208.80 | (65) ~ (e4 = e1)
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (182), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (1237) all_0_26_26 = e4
% 267.48/208.80 |
% 267.48/208.80 | Equations (1237) can reduce 582 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (582) ~ (all_0_26_26 = e4)
% 267.48/208.80 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 267.48/208.80 |
% 267.48/208.80 +-Applying beta-rule and splitting (5353), into two cases.
% 267.48/208.80 |-Branch one:
% 267.48/208.80 | (2443) all_0_26_26 = e3
% 267.48/208.80 |
% 267.48/208.80 | Equations (2443) can reduce 504 to:
% 267.48/208.80 | (366) $false
% 267.48/208.80 |
% 267.48/208.80 |-The branch is then unsatisfiable
% 267.48/208.80 |-Branch two:
% 267.48/208.80 | (504) ~ (all_0_26_26 = e3)
% 267.48/208.81 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (5357), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (2380) all_0_26_26 = e2
% 267.48/208.81 |
% 267.48/208.81 | Equations (2380) can reduce 38 to:
% 267.48/208.81 | (650) ~ (all_0_29_29 = e2)
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 650 yields:
% 267.48/208.81 | (651) ~ (all_0_29_29 = e2)
% 267.48/208.81 |
% 267.48/208.81 | Equations (2380) can reduce 582 to:
% 267.48/208.81 | (444) ~ (e4 = e2)
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 444 yields:
% 267.48/208.81 | (19) ~ (e4 = e2)
% 267.48/208.81 |
% 267.48/208.81 | Equations (2380) can reduce 504 to:
% 267.48/208.81 | (658) ~ (e3 = e2)
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 658 yields:
% 267.48/208.81 | (56) ~ (e3 = e2)
% 267.48/208.81 |
% 267.48/208.81 | Equations (2380) can reduce 1008 to:
% 267.48/208.81 | (329) ~ (e2 = e1)
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (357), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (1250) all_0_29_29 = e4
% 267.48/208.81 |
% 267.48/208.81 | Equations (1250) can reduce 724 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (724) ~ (all_0_29_29 = e4)
% 267.48/208.81 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (2812), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (1023) all_0_29_29 = e3
% 267.48/208.81 |
% 267.48/208.81 | Equations (1023) can reduce 898 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (898) ~ (all_0_29_29 = e3)
% 267.48/208.81 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (5409), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (4103) all_0_29_29 = e2
% 267.48/208.81 |
% 267.48/208.81 | Equations (4103) can reduce 651 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (651) ~ (all_0_29_29 = e2)
% 267.48/208.81 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (5413), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (945) all_0_29_29 = e1
% 267.48/208.81 |
% 267.48/208.81 | Equations (945) can reduce 952 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (952) ~ (all_0_29_29 = e1)
% 267.48/208.81 | (2537) all_0_29_29 = e0
% 267.48/208.81 |
% 267.48/208.81 | Equations (2537) can reduce 898 to:
% 267.48/208.81 | (391) ~ (e3 = e0)
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 391 yields:
% 267.48/208.81 | (88) ~ (e3 = e0)
% 267.48/208.81 |
% 267.48/208.81 | Equations (2537) can reduce 651 to:
% 267.48/208.81 | (393) ~ (e2 = e0)
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 393 yields:
% 267.48/208.81 | (347) ~ (e2 = e0)
% 267.48/208.81 |
% 267.48/208.81 | Equations (2537) can reduce 952 to:
% 267.48/208.81 | (395) ~ (e1 = e0)
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 395 yields:
% 267.48/208.81 | (37) ~ (e1 = e0)
% 267.48/208.81 |
% 267.48/208.81 | Instantiating formula (97) with e3, e1, e1, all_0_23_23 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 267.48/208.81 | (17605) all_0_23_23 = e1 | ~ (op(e3, e1) = e1)
% 267.48/208.81 |
% 267.48/208.81 | Instantiating formula (97) with e1, e1, e4, e2 and discharging atoms op(e1, e1) = e2, yields:
% 267.48/208.81 | (28997) e4 = e2 | ~ (op(e1, e1) = e4)
% 267.48/208.81 |
% 267.48/208.81 | Instantiating formula (97) with e1, e0, e3, e1 and discharging atoms op(e1, e0) = e3, yields:
% 267.48/208.81 | (28998) e3 = e1 | ~ (op(e1, e0) = e1)
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (192), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (663) all_0_19_19 = e2
% 267.48/208.81 |
% 267.48/208.81 | Equations (663) can reduce 714 to:
% 267.48/208.81 | (444) ~ (e4 = e2)
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 444 yields:
% 267.48/208.81 | (19) ~ (e4 = e2)
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (323), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (476) all_0_15_15 = e1
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (483,476) yields a new equation:
% 267.48/208.81 | (961) e1 = e0
% 267.48/208.81 |
% 267.48/208.81 | Equations (961) can reduce 37 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (482) ~ (all_0_15_15 = e1)
% 267.48/208.81 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (32), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (716) all_0_19_19 = e1
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (663,716) yields a new equation:
% 267.48/208.81 | (717) e2 = e1
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 717 yields:
% 267.48/208.81 | (718) e2 = e1
% 267.48/208.81 |
% 267.48/208.81 | Equations (718) can reduce 329 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (720) ~ (all_0_19_19 = e1)
% 267.48/208.81 | (721) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 267.48/208.81 |
% 267.48/208.81 | Equations (663) can reduce 720 to:
% 267.48/208.81 | (329) ~ (e2 = e1)
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (709), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (921) all_0_16_16 = e1
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (701,921) yields a new equation:
% 267.48/208.81 | (955) e4 = e1
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 955 yields:
% 267.48/208.81 | (480) e4 = e1
% 267.48/208.81 |
% 267.48/208.81 | Equations (480) can reduce 65 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (985) ~ (all_0_16_16 = e1)
% 267.48/208.81 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (1373), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (1498) all_0_17_17 = e1
% 267.48/208.81 |
% 267.48/208.81 | Equations (1498) can reduce 1501 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (1501) ~ (all_0_17_17 = e1)
% 267.48/208.81 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (1681), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (1278) all_0_18_18 = e1
% 267.48/208.81 |
% 267.48/208.81 | From (1278) and (28887) follows:
% 267.48/208.81 | (479) op(e1, e1) = e4
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (28997), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (14294) ~ (op(e1, e1) = e4)
% 267.48/208.81 |
% 267.48/208.81 | Using (479) and (14294) yields:
% 267.48/208.81 | (821) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (479) op(e1, e1) = e4
% 267.48/208.81 | (539) e4 = e2
% 267.48/208.81 |
% 267.48/208.81 | Equations (539) can reduce 19 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (419) ~ (all_0_18_18 = e1)
% 267.48/208.81 | (716) all_0_19_19 = e1
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (663,716) yields a new equation:
% 267.48/208.81 | (717) e2 = e1
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 717 yields:
% 267.48/208.81 | (718) e2 = e1
% 267.48/208.81 |
% 267.48/208.81 | Equations (718) can reduce 329 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (2785) ~ (all_0_19_19 = e2)
% 267.48/208.81 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (114), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (472) all_0_15_15 = e2
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (483,472) yields a new equation:
% 267.48/208.81 | (551) e2 = e0
% 267.48/208.81 |
% 267.48/208.81 | Equations (551) can reduce 347 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (447) ~ (all_0_15_15 = e2)
% 267.48/208.81 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (2791), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (697) all_0_16_16 = e2
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (701,697) yields a new equation:
% 267.48/208.81 | (1111) e4 = e2
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 1111 yields:
% 267.48/208.81 | (539) e4 = e2
% 267.48/208.81 |
% 267.48/208.81 | Equations (539) can reduce 19 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (664) ~ (all_0_16_16 = e2)
% 267.48/208.81 | (2933) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (2933), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (1980) all_0_17_17 = e2
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (111), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (468) all_0_15_15 = e3
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (483,468) yields a new equation:
% 267.48/208.81 | (980) e3 = e0
% 267.48/208.81 |
% 267.48/208.81 | Equations (980) can reduce 88 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (433) ~ (all_0_15_15 = e3)
% 267.48/208.81 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 267.48/208.81 |
% 267.48/208.81 | Equations (483) can reduce 433 to:
% 267.48/208.81 | (391) ~ (e3 = e0)
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 391 yields:
% 267.48/208.81 | (88) ~ (e3 = e0)
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (72), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (468) all_0_15_15 = e3
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (483,468) yields a new equation:
% 267.48/208.81 | (980) e3 = e0
% 267.48/208.81 |
% 267.48/208.81 | Equations (980) can reduce 88 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (433) ~ (all_0_15_15 = e3)
% 267.48/208.81 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.48/208.81 |
% 267.48/208.81 +-Applying beta-rule and splitting (7544), into two cases.
% 267.48/208.81 |-Branch one:
% 267.48/208.81 | (1287) all_0_16_16 = e3
% 267.48/208.81 |
% 267.48/208.81 | Combining equations (701,1287) yields a new equation:
% 267.48/208.81 | (690) e4 = e3
% 267.48/208.81 |
% 267.48/208.81 | Simplifying 690 yields:
% 267.48/208.81 | (691) e4 = e3
% 267.48/208.81 |
% 267.48/208.81 | Equations (691) can reduce 277 to:
% 267.48/208.81 | (366) $false
% 267.48/208.81 |
% 267.48/208.81 |-The branch is then unsatisfiable
% 267.48/208.81 |-Branch two:
% 267.48/208.81 | (458) ~ (all_0_16_16 = e3)
% 267.48/208.82 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 267.48/208.82 |
% 267.48/208.82 +-Applying beta-rule and splitting (7699), into two cases.
% 267.48/208.82 |-Branch one:
% 267.48/208.82 | (1970) all_0_17_17 = e3
% 267.48/208.82 |
% 267.48/208.82 | Combining equations (1980,1970) yields a new equation:
% 267.48/208.82 | (764) e3 = e2
% 267.48/208.82 |
% 267.48/208.82 | Equations (764) can reduce 56 to:
% 267.48/208.82 | (366) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.48/208.82 |-Branch two:
% 267.48/208.82 | (558) ~ (all_0_17_17 = e3)
% 267.48/208.82 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 267.48/208.82 |
% 267.48/208.82 +-Applying beta-rule and splitting (7722), into two cases.
% 267.48/208.82 |-Branch one:
% 267.48/208.82 | (1134) all_0_18_18 = e3
% 267.48/208.82 |
% 267.48/208.82 | Equations (1134) can reduce 110 to:
% 267.48/208.82 | (3066) ~ (all_0_23_23 = e3)
% 267.48/208.82 |
% 267.48/208.82 | Simplifying 3066 yields:
% 267.48/208.82 | (982) ~ (all_0_23_23 = e3)
% 267.48/208.82 |
% 267.48/208.82 | From (1134) and (28886) follows:
% 267.48/208.82 | (17687) op(e3, e1) = e1
% 267.48/208.82 |
% 267.48/208.82 +-Applying beta-rule and splitting (17605), into two cases.
% 267.48/208.82 |-Branch one:
% 267.48/208.82 | (17688) ~ (op(e3, e1) = e1)
% 267.48/208.82 |
% 267.48/208.82 | Using (17687) and (17688) yields:
% 267.48/208.82 | (821) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.48/208.82 |-Branch two:
% 267.48/208.82 | (17687) op(e3, e1) = e1
% 267.48/208.82 | (3952) all_0_23_23 = e1
% 267.48/208.82 |
% 267.48/208.82 | Equations (3952) can reduce 982 to:
% 267.48/208.82 | (429) ~ (e3 = e1)
% 267.48/208.82 |
% 267.48/208.82 | Simplifying 429 yields:
% 267.48/208.82 | (318) ~ (e3 = e1)
% 267.48/208.82 |
% 267.48/208.82 | From (3952) and (8012) follows:
% 267.48/208.82 | (8239) op(e1, e0) = e1
% 267.48/208.82 |
% 267.48/208.82 +-Applying beta-rule and splitting (28998), into two cases.
% 267.48/208.82 |-Branch one:
% 267.48/208.82 | (8270) ~ (op(e1, e0) = e1)
% 267.48/208.82 |
% 267.48/208.82 | Using (8239) and (8270) yields:
% 267.48/208.82 | (821) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.48/208.82 |-Branch two:
% 267.48/208.82 | (8239) op(e1, e0) = e1
% 267.48/208.82 | (706) e3 = e1
% 267.48/208.82 |
% 267.48/208.82 | Equations (706) can reduce 318 to:
% 267.48/208.82 | (366) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.48/208.82 |-Branch two:
% 267.48/208.82 | (560) ~ (all_0_18_18 = e3)
% 267.48/208.82 | (927) all_0_19_19 = e3
% 267.48/208.82 |
% 267.48/208.82 | Equations (927) can reduce 562 to:
% 267.48/208.82 | (366) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.48/208.82 |-Branch two:
% 267.48/208.82 | (459) ~ (all_0_17_17 = e2)
% 267.48/208.82 | (2937) all_0_18_18 = e2 | all_0_19_19 = e2
% 267.48/208.82 |
% 267.48/208.82 +-Applying beta-rule and splitting (2937), into two cases.
% 267.48/208.82 |-Branch one:
% 267.48/208.82 | (1274) all_0_18_18 = e2
% 267.48/208.82 |
% 267.48/208.82 | Equations (1274) can reduce 666 to:
% 267.48/208.82 | (366) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.48/208.82 |-Branch two:
% 267.48/208.82 | (666) ~ (all_0_18_18 = e2)
% 267.48/208.82 | (663) all_0_19_19 = e2
% 267.48/208.82 |
% 267.48/208.82 | Equations (663) can reduce 2785 to:
% 267.48/208.82 | (366) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.48/208.82 |-Branch two:
% 267.48/208.82 | (647) ~ (all_0_26_26 = e2)
% 267.48/208.82 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 267.48/208.82 |
% 267.48/208.82 +-Applying beta-rule and splitting (5361), into two cases.
% 267.48/208.82 |-Branch one:
% 267.48/208.82 | (1005) all_0_26_26 = e1
% 267.48/208.82 |
% 267.48/208.82 | Equations (1005) can reduce 1008 to:
% 267.48/208.82 | (366) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.48/208.82 |-Branch two:
% 267.48/208.82 | (1008) ~ (all_0_26_26 = e1)
% 267.48/208.82 | (883) all_0_26_26 = e0
% 267.48/208.82 |
% 267.48/208.82 | Equations (883) can reduce 1058 to:
% 267.48/208.82 | (366) $false
% 267.48/208.82 |
% 267.48/208.82 |-The branch is then unsatisfiable
% 267.60/208.83 |-Branch two:
% 267.60/208.83 | (422) ~ (all_0_30_30 = e1)
% 267.60/208.83 | (790) all_0_30_30 = e0
% 267.60/208.83 |
% 267.60/208.83 | Equations (790) can reduce 1878 to:
% 267.60/208.83 | (366) $false
% 267.60/208.83 |
% 267.60/208.83 |-The branch is then unsatisfiable
% 267.60/208.83 |-Branch two:
% 267.60/208.83 | (29109) ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.60/208.83 |
% 267.60/208.83 | Applying alpha-rule on (29109) yields:
% 267.60/208.83 | (29110) ~ (all_0_4_4 = e0)
% 267.60/208.83 | (23785) op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.60/208.83 |
% 267.60/208.83 | From (1229)(1229) and (23785) follows:
% 267.60/208.83 | (23786) op(e4, e4) = all_0_4_4
% 267.60/208.83 |
% 267.60/208.83 | Instantiating formula (97) with e4, e4, all_0_4_4, e0 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e0, yields:
% 267.60/208.83 | (29113) all_0_4_4 = e0
% 267.60/208.83 |
% 267.60/208.83 | Equations (29113) can reduce 29110 to:
% 267.60/208.83 | (366) $false
% 267.60/208.83 |
% 267.60/208.83 |-The branch is then unsatisfiable
% 267.60/208.83 |-Branch two:
% 267.60/208.83 | (727) ~ (all_0_32_32 = e4)
% 267.60/208.83 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 267.60/208.83 |
% 267.60/208.83 +-Applying beta-rule and splitting (1476), into two cases.
% 267.60/208.83 |-Branch one:
% 267.60/208.83 | (406) all_0_33_33 = e4
% 267.60/208.83 |
% 267.60/208.83 | Combining equations (414,406) yields a new equation:
% 267.60/208.83 | (539) e4 = e2
% 267.60/208.83 |
% 267.60/208.83 | Equations (539) can reduce 19 to:
% 267.60/208.83 | (366) $false
% 267.60/208.83 |
% 267.60/208.83 |-The branch is then unsatisfiable
% 267.60/208.83 |-Branch two:
% 267.60/208.83 | (405) ~ (all_0_33_33 = e4)
% 267.60/208.83 | (723) all_0_34_34 = e4
% 267.60/208.83 |
% 267.60/208.83 | Equations (723) can reduce 1395 to:
% 267.60/208.83 | (366) $false
% 267.60/208.83 |
% 267.60/208.83 |-The branch is then unsatisfiable
% 267.60/208.83 |-Branch two:
% 267.60/208.83 | (573) ~ (all_0_16_16 = e4)
% 267.60/208.83 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.60/208.83 |
% 267.60/208.83 +-Applying beta-rule and splitting (166), into two cases.
% 267.60/208.83 |-Branch one:
% 267.60/208.83 | (464) all_0_15_15 = e4
% 267.60/208.83 |
% 267.60/208.83 | Combining equations (464,483) yields a new equation:
% 267.60/208.83 | (842) e4 = e0
% 267.60/208.83 |
% 267.60/208.83 | Simplifying 842 yields:
% 267.60/208.83 | (490) e4 = e0
% 267.60/208.83 |
% 267.60/208.83 | Equations (490) can reduce 287 to:
% 267.60/208.83 | (366) $false
% 267.60/208.83 |
% 267.60/208.83 |-The branch is then unsatisfiable
% 267.60/208.83 |-Branch two:
% 267.60/208.83 | (460) ~ (all_0_15_15 = e4)
% 267.60/208.83 | (694) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (483) can reduce 460 to:
% 267.60/208.84 | (389) ~ (e4 = e0)
% 267.60/208.84 |
% 267.60/208.84 | Simplifying 389 yields:
% 267.60/208.84 | (287) ~ (e4 = e0)
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (270), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (701) all_0_16_16 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (701) can reduce 573 to:
% 267.60/208.84 | (366) $false
% 267.60/208.84 |
% 267.60/208.84 |-The branch is then unsatisfiable
% 267.60/208.84 |-Branch two:
% 267.60/208.84 | (573) ~ (all_0_16_16 = e4)
% 267.60/208.84 | (704) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (256), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (1453) all_0_20_20 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (1453) can reduce 211 to:
% 267.60/208.84 | (575) ~ (all_0_22_22 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Simplifying 575 yields:
% 267.60/208.84 | (576) ~ (all_0_22_22 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Equations (1453) can reduce 95 to:
% 267.60/208.84 | (10614) ~ (all_0_25_25 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Simplifying 10614 yields:
% 267.60/208.84 | (501) ~ (all_0_25_25 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Equations (1453) can reduce 116 to:
% 267.60/208.84 | (3310) ~ (all_0_30_30 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Simplifying 3310 yields:
% 267.60/208.84 | (509) ~ (all_0_30_30 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Equations (1453) can reduce 564 to:
% 267.60/208.84 | (277) ~ (e4 = e3)
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (162), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (472) all_0_15_15 = e2
% 267.60/208.84 |
% 267.60/208.84 | Combining equations (472,483) yields a new equation:
% 267.60/208.84 | (836) e2 = e0
% 267.60/208.84 |
% 267.60/208.84 | Simplifying 836 yields:
% 267.60/208.84 | (551) e2 = e0
% 267.60/208.84 |
% 267.60/208.84 | Equations (551) can reduce 347 to:
% 267.60/208.84 | (366) $false
% 267.60/208.84 |
% 267.60/208.84 |-The branch is then unsatisfiable
% 267.60/208.84 |-Branch two:
% 267.60/208.84 | (447) ~ (all_0_15_15 = e2)
% 267.60/208.84 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 267.60/208.84 |
% 267.60/208.84 | Equations (483) can reduce 447 to:
% 267.60/208.84 | (393) ~ (e2 = e0)
% 267.60/208.84 |
% 267.60/208.84 | Simplifying 393 yields:
% 267.60/208.84 | (347) ~ (e2 = e0)
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (51), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (736) all_0_20_20 = e2
% 267.60/208.84 |
% 267.60/208.84 | Combining equations (736,1453) yields a new equation:
% 267.60/208.84 | (539) e4 = e2
% 267.60/208.84 |
% 267.60/208.84 | Equations (539) can reduce 19 to:
% 267.60/208.84 | (366) $false
% 267.60/208.84 |
% 267.60/208.84 |-The branch is then unsatisfiable
% 267.60/208.84 |-Branch two:
% 267.60/208.84 | (1114) ~ (all_0_20_20 = e2)
% 267.60/208.84 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 267.60/208.84 |
% 267.60/208.84 | Equations (1453) can reduce 1114 to:
% 267.60/208.84 | (19) ~ (e4 = e2)
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (285), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (1158) all_0_25_25 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (1158) can reduce 501 to:
% 267.60/208.84 | (366) $false
% 267.60/208.84 |
% 267.60/208.84 |-The branch is then unsatisfiable
% 267.60/208.84 |-Branch two:
% 267.60/208.84 | (501) ~ (all_0_25_25 = e4)
% 267.60/208.84 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (36), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (887) all_0_18_18 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (887) can reduce 74 to:
% 267.60/208.84 | (869) ~ (all_0_17_17 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Equations (887) can reduce 1156 to:
% 267.60/208.84 | (287) ~ (e4 = e0)
% 267.60/208.84 |
% 267.60/208.84 | From (887) and (238) follows:
% 267.60/208.84 | (12210) op(e4, all_0_30_30) = e1
% 267.60/208.84 |
% 267.60/208.84 | From (887) and (61) follows:
% 267.60/208.84 | (1807) op(e4, e1) = e4
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (59), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (865) all_0_17_17 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (865) can reduce 869 to:
% 267.60/208.84 | (366) $false
% 267.60/208.84 |
% 267.60/208.84 |-The branch is then unsatisfiable
% 267.60/208.84 |-Branch two:
% 267.60/208.84 | (869) ~ (all_0_17_17 = e4)
% 267.60/208.84 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (1148), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (831) all_0_22_22 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (831) can reduce 576 to:
% 267.60/208.84 | (366) $false
% 267.60/208.84 |
% 267.60/208.84 |-The branch is then unsatisfiable
% 267.60/208.84 |-Branch two:
% 267.60/208.84 | (576) ~ (all_0_22_22 = e4)
% 267.60/208.84 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (1217), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (1237) all_0_26_26 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (1237) can reduce 1008 to:
% 267.60/208.84 | (65) ~ (e4 = e1)
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (1152), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (435) all_0_27_27 = e4
% 267.60/208.84 |
% 267.60/208.84 | Combining equations (543,435) yields a new equation:
% 267.60/208.84 | (480) e4 = e1
% 267.60/208.84 |
% 267.60/208.84 | Equations (480) can reduce 65 to:
% 267.60/208.84 | (366) $false
% 267.60/208.84 |
% 267.60/208.84 |-The branch is then unsatisfiable
% 267.60/208.84 |-Branch two:
% 267.60/208.84 | (404) ~ (all_0_27_27 = e4)
% 267.60/208.84 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (1222), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (1229) all_0_32_32 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (1229) can reduce 186 to:
% 267.60/208.84 | (509) ~ (all_0_30_30 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Equations (1229) can reduce 424 to:
% 267.60/208.84 | (65) ~ (e4 = e1)
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (15013), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (21915) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)
% 267.60/208.84 |
% 267.60/208.84 | Applying alpha-rule on (21915) yields:
% 267.60/208.84 | (20681) all_0_5_5 = all_0_32_32
% 267.60/208.84 | (1089) ~ (all_0_32_32 = e3)
% 267.60/208.84 |
% 267.60/208.84 | Combining equations (1229,20681) yields a new equation:
% 267.60/208.84 | (23716) all_0_5_5 = e4
% 267.60/208.84 |
% 267.60/208.84 | Equations (1229) can reduce 1089 to:
% 267.60/208.84 | (277) ~ (e4 = e3)
% 267.60/208.84 |
% 267.60/208.84 +-Applying beta-rule and splitting (14988), into two cases.
% 267.60/208.84 |-Branch one:
% 267.60/208.84 | (20680) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Applying alpha-rule on (20680) yields:
% 267.60/208.84 | (20681) all_0_5_5 = all_0_32_32
% 267.60/208.84 | (727) ~ (all_0_32_32 = e4)
% 267.60/208.84 |
% 267.60/208.84 | Combining equations (20681,23716) yields a new equation:
% 267.60/208.84 | (23720) all_0_32_32 = e4
% 267.60/208.84 |
% 267.60/208.85 | Simplifying 23720 yields:
% 267.60/208.85 | (1229) all_0_32_32 = e4
% 267.60/208.85 |
% 267.60/208.85 | Equations (1229) can reduce 727 to:
% 267.60/208.85 | (366) $false
% 267.60/208.85 |
% 267.60/208.85 |-The branch is then unsatisfiable
% 267.60/208.85 |-Branch two:
% 267.60/208.85 | (21420) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 267.60/208.85 |
% 267.60/208.85 | Applying alpha-rule on (21420) yields:
% 267.60/208.85 | (20681) all_0_5_5 = all_0_32_32
% 267.60/208.85 | (21422) ( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 267.60/208.85 |
% 267.60/208.85 | Combining equations (20681,23716) yields a new equation:
% 267.60/208.85 | (23720) all_0_32_32 = e4
% 267.60/208.85 |
% 267.60/208.85 | Simplifying 23720 yields:
% 267.60/208.85 | (1229) all_0_32_32 = e4
% 267.60/208.85 |
% 267.60/208.85 +-Applying beta-rule and splitting (21422), into two cases.
% 267.60/208.85 |-Branch one:
% 267.60/208.85 | (28859) ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3
% 267.60/208.85 |
% 267.60/208.85 | Applying alpha-rule on (28859) yields:
% 267.60/208.85 | (28860) ~ (all_0_3_3 = e3)
% 267.60/208.85 | (23730) op(e1, all_0_32_32) = all_0_3_3
% 267.60/208.85 |
% 267.60/208.85 | From (1229) and (23730) follows:
% 267.60/208.85 | (23731) op(e1, e4) = all_0_3_3
% 267.60/208.85 |
% 267.60/208.85 | Instantiating formula (97) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, yields:
% 267.60/208.85 | (23253) e4 = e1 | ~ (op(e4, e1) = e1)
% 267.60/208.85 |
% 267.60/208.85 | Instantiating formula (97) with e1, e4, all_0_3_3, all_0_30_30 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_30_30, yields:
% 267.60/208.85 | (23733) all_0_3_3 = all_0_30_30
% 267.60/208.85 |
% 267.60/208.86 | Equations (23733) can reduce 28860 to:
% 267.60/208.86 | (568) ~ (all_0_30_30 = e3)
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (155), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (759) all_0_30_30 = e3
% 267.60/208.86 |
% 267.60/208.86 | Equations (759) can reduce 568 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (568) ~ (all_0_30_30 = e3)
% 267.60/208.86 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (762), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (763) all_0_31_31 = e3
% 267.60/208.86 |
% 267.60/208.86 | Equations (763) can reduce 510 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (510) ~ (all_0_31_31 = e3)
% 267.60/208.86 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (239), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (768) all_0_30_30 = e4
% 267.60/208.86 |
% 267.60/208.86 | Equations (768) can reduce 509 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (509) ~ (all_0_30_30 = e4)
% 267.60/208.86 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (767), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (772) all_0_32_32 = e3
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (772,1229) yields a new equation:
% 267.60/208.86 | (691) e4 = e3
% 267.60/208.86 |
% 267.60/208.86 | Equations (691) can reduce 277 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (1089) ~ (all_0_32_32 = e3)
% 267.60/208.86 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (1090), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (410) all_0_33_33 = e3
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (410,414) yields a new equation:
% 267.60/208.86 | (3874) e3 = e2
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 3874 yields:
% 267.60/208.86 | (764) e3 = e2
% 267.60/208.86 |
% 267.60/208.86 | Equations (764) can reduce 56 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (403) ~ (all_0_33_33 = e3)
% 267.60/208.86 | (1027) all_0_34_34 = e3
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (127), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (790) all_0_30_30 = e0
% 267.60/208.86 |
% 267.60/208.86 | Equations (790) can reduce 1878 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (1878) ~ (all_0_30_30 = e0)
% 267.60/208.86 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (1879), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (1060) all_0_31_31 = e0
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (159), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (787) all_0_30_30 = e1
% 267.60/208.86 |
% 267.60/208.86 | Equations (787) can reduce 509 to:
% 267.60/208.86 | (477) ~ (e4 = e1)
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 477 yields:
% 267.60/208.86 | (65) ~ (e4 = e1)
% 267.60/208.86 |
% 267.60/208.86 | From (787) and (12210) follows:
% 267.60/208.86 | (16329) op(e4, e1) = e1
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (23253), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (16330) ~ (op(e4, e1) = e1)
% 267.60/208.86 |
% 267.60/208.86 | Using (16329) and (16330) yields:
% 267.60/208.86 | (821) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (16329) op(e4, e1) = e1
% 267.60/208.86 | (480) e4 = e1
% 267.60/208.86 |
% 267.60/208.86 | Equations (480) can reduce 65 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (422) ~ (all_0_30_30 = e1)
% 267.60/208.86 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (29), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (476) all_0_15_15 = e1
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (476,483) yields a new equation:
% 267.60/208.86 | (960) e1 = e0
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 960 yields:
% 267.60/208.86 | (961) e1 = e0
% 267.60/208.86 |
% 267.60/208.86 | Equations (961) can reduce 37 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (482) ~ (all_0_15_15 = e1)
% 267.60/208.86 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.60/208.86 |
% 267.60/208.86 | Equations (483) can reduce 482 to:
% 267.60/208.86 | (395) ~ (e1 = e0)
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 395 yields:
% 267.60/208.86 | (37) ~ (e1 = e0)
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (5570), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (1010) all_0_31_31 = e1
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (1060,1010) yields a new equation:
% 267.60/208.86 | (961) e1 = e0
% 267.60/208.86 |
% 267.60/208.86 | Equations (961) can reduce 37 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (423) ~ (all_0_31_31 = e1)
% 267.60/208.86 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (5940), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (1587) all_0_32_32 = e1
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (1229,1587) yields a new equation:
% 267.60/208.86 | (955) e4 = e1
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 955 yields:
% 267.60/208.86 | (480) e4 = e1
% 267.60/208.86 |
% 267.60/208.86 | Equations (480) can reduce 65 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (424) ~ (all_0_32_32 = e1)
% 267.60/208.86 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (5953), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (418) all_0_33_33 = e1
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (418,414) yields a new equation:
% 267.60/208.86 | (718) e2 = e1
% 267.60/208.86 |
% 267.60/208.86 | Equations (718) can reduce 329 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (507) ~ (all_0_33_33 = e1)
% 267.60/208.86 | (954) all_0_34_34 = e1
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (1027,954) yields a new equation:
% 267.60/208.86 | (933) e3 = e1
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 933 yields:
% 267.60/208.86 | (706) e3 = e1
% 267.60/208.86 |
% 267.60/208.86 | Equations (706) can reduce 318 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (1064) ~ (all_0_31_31 = e0)
% 267.60/208.86 | (1883) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (1883), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (1626) all_0_32_32 = e0
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (1229,1626) yields a new equation:
% 267.60/208.86 | (842) e4 = e0
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 842 yields:
% 267.60/208.86 | (490) e4 = e0
% 267.60/208.86 |
% 267.60/208.86 | Equations (490) can reduce 287 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (1946) ~ (all_0_32_32 = e0)
% 267.60/208.86 | (1947) all_0_33_33 = e0 | all_0_34_34 = e0
% 267.60/208.86 |
% 267.60/208.86 +-Applying beta-rule and splitting (1947), into two cases.
% 267.60/208.86 |-Branch one:
% 267.60/208.86 | (1254) all_0_33_33 = e0
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (414,1254) yields a new equation:
% 267.60/208.86 | (836) e2 = e0
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 836 yields:
% 267.60/208.86 | (551) e2 = e0
% 267.60/208.86 |
% 267.60/208.86 | Equations (551) can reduce 347 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (399) ~ (all_0_33_33 = e0)
% 267.60/208.86 | (1717) all_0_34_34 = e0
% 267.60/208.86 |
% 267.60/208.86 | Combining equations (1027,1717) yields a new equation:
% 267.60/208.86 | (979) e3 = e0
% 267.60/208.86 |
% 267.60/208.86 | Simplifying 979 yields:
% 267.60/208.86 | (980) e3 = e0
% 267.60/208.86 |
% 267.60/208.86 | Equations (980) can reduce 88 to:
% 267.60/208.86 | (366) $false
% 267.60/208.86 |
% 267.60/208.86 |-The branch is then unsatisfiable
% 267.60/208.86 |-Branch two:
% 267.60/208.86 | (29109) ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.60/208.86 |
% 267.60/208.87 | Applying alpha-rule on (29109) yields:
% 267.60/208.87 | (29110) ~ (all_0_4_4 = e0)
% 267.60/208.87 | (23785) op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.60/208.87 |
% 267.60/208.87 | From (1229)(1229) and (23785) follows:
% 267.60/208.87 | (23786) op(e4, e4) = all_0_4_4
% 267.60/208.87 |
% 267.60/208.87 | Instantiating formula (97) with e4, e4, all_0_4_4, e0 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e0, yields:
% 267.60/208.87 | (29113) all_0_4_4 = e0
% 267.60/208.87 |
% 267.60/208.87 | Equations (29113) can reduce 29110 to:
% 267.60/208.87 | (366) $false
% 267.60/208.87 |
% 267.60/208.87 |-The branch is then unsatisfiable
% 267.60/208.87 |-Branch two:
% 267.60/208.87 | (29298) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 267.60/208.87 |
% 267.60/208.87 | Applying alpha-rule on (29298) yields:
% 267.60/208.87 | (20681) all_0_5_5 = all_0_32_32
% 267.60/208.87 | (29300) ( ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 267.60/208.87 |
% 267.60/208.88 | Combining equations (1229,20681) yields a new equation:
% 267.60/208.88 | (23716) all_0_5_5 = e4
% 267.60/208.88 |
% 267.60/208.88 +-Applying beta-rule and splitting (29300), into two cases.
% 267.60/208.88 |-Branch one:
% 267.60/208.88 | (29302) ~ (all_0_3_3 = e4) & op(e1, all_0_32_32) = all_0_3_3
% 267.60/208.88 |
% 267.60/208.88 | Applying alpha-rule on (29302) yields:
% 267.60/208.88 | (29303) ~ (all_0_3_3 = e4)
% 267.60/208.88 | (23730) op(e1, all_0_32_32) = all_0_3_3
% 267.60/208.88 |
% 267.60/208.88 +-Applying beta-rule and splitting (14988), into two cases.
% 267.60/208.88 |-Branch one:
% 267.60/208.88 | (20680) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 267.60/208.88 |
% 267.60/208.88 | Applying alpha-rule on (20680) yields:
% 267.60/208.88 | (20681) all_0_5_5 = all_0_32_32
% 267.60/208.88 | (727) ~ (all_0_32_32 = e4)
% 267.60/208.88 |
% 267.60/208.88 | Combining equations (20681,23716) yields a new equation:
% 267.60/208.88 | (23720) all_0_32_32 = e4
% 267.60/208.88 |
% 267.60/208.88 | Simplifying 23720 yields:
% 267.60/208.88 | (1229) all_0_32_32 = e4
% 267.60/208.88 |
% 267.60/208.88 | Equations (1229) can reduce 727 to:
% 267.60/208.88 | (366) $false
% 267.60/208.88 |
% 267.60/208.88 |-The branch is then unsatisfiable
% 267.60/208.88 |-Branch two:
% 267.60/208.88 | (21420) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 267.60/208.88 |
% 267.60/208.88 | Applying alpha-rule on (21420) yields:
% 267.60/208.88 | (20681) all_0_5_5 = all_0_32_32
% 267.60/208.89 | (21422) ( ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 267.60/208.89 |
% 267.60/208.89 | Combining equations (20681,23716) yields a new equation:
% 267.60/208.89 | (23720) all_0_32_32 = e4
% 267.60/208.89 |
% 267.60/208.89 | Simplifying 23720 yields:
% 267.60/208.89 | (1229) all_0_32_32 = e4
% 267.60/208.89 |
% 267.60/208.89 +-Applying beta-rule and splitting (21422), into two cases.
% 267.60/208.89 |-Branch one:
% 267.60/208.89 | (28859) ~ (all_0_3_3 = e3) & op(e1, all_0_32_32) = all_0_3_3
% 267.60/208.89 |
% 267.60/208.89 | Applying alpha-rule on (28859) yields:
% 267.60/208.89 | (28860) ~ (all_0_3_3 = e3)
% 267.73/208.89 | (23730) op(e1, all_0_32_32) = all_0_3_3
% 267.73/208.89 |
% 267.73/208.89 | From (1229) and (23730) follows:
% 267.73/208.89 | (23731) op(e1, e4) = all_0_3_3
% 267.73/208.89 |
% 267.73/208.89 | Instantiating formula (97) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, yields:
% 267.73/208.89 | (23253) e4 = e1 | ~ (op(e4, e1) = e1)
% 267.73/208.89 |
% 267.73/208.89 | Instantiating formula (97) with e1, e4, all_0_3_3, all_0_30_30 and discharging atoms op(e1, e4) = all_0_3_3, op(e1, e4) = all_0_30_30, yields:
% 267.73/208.89 | (23733) all_0_3_3 = all_0_30_30
% 267.73/208.89 |
% 267.73/208.89 | Equations (23733) can reduce 29303 to:
% 267.73/208.89 | (509) ~ (all_0_30_30 = e4)
% 267.73/208.89 |
% 267.73/208.90 | Equations (23733) can reduce 28860 to:
% 267.73/208.90 | (568) ~ (all_0_30_30 = e3)
% 267.73/208.90 |
% 267.73/208.90 +-Applying beta-rule and splitting (155), into two cases.
% 267.73/208.90 |-Branch one:
% 267.73/208.90 | (759) all_0_30_30 = e3
% 267.73/208.90 |
% 267.73/208.90 | Equations (759) can reduce 568 to:
% 267.73/208.90 | (366) $false
% 267.73/208.90 |
% 267.73/208.90 |-The branch is then unsatisfiable
% 267.73/208.90 |-Branch two:
% 267.73/208.90 | (568) ~ (all_0_30_30 = e3)
% 267.73/208.90 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 267.73/208.90 |
% 267.73/208.90 +-Applying beta-rule and splitting (239), into two cases.
% 267.73/208.90 |-Branch one:
% 267.73/208.90 | (768) all_0_30_30 = e4
% 267.73/208.90 |
% 267.73/208.90 | Equations (768) can reduce 509 to:
% 267.73/208.90 | (366) $false
% 267.73/208.90 |
% 267.73/208.90 |-The branch is then unsatisfiable
% 267.73/208.90 |-Branch two:
% 267.73/208.90 | (509) ~ (all_0_30_30 = e4)
% 267.73/208.90 | (771) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.73/208.90 |
% 267.73/208.90 +-Applying beta-rule and splitting (771), into two cases.
% 267.73/208.90 |-Branch one:
% 267.73/208.90 | (759) all_0_30_30 = e3
% 267.73/208.90 |
% 267.73/208.90 | Equations (759) can reduce 568 to:
% 267.73/208.90 | (366) $false
% 267.73/208.90 |
% 267.73/208.90 |-The branch is then unsatisfiable
% 267.73/208.90 |-Branch two:
% 267.73/208.90 | (568) ~ (all_0_30_30 = e3)
% 267.73/208.90 | (782) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 267.73/208.90 |
% 267.73/208.90 +-Applying beta-rule and splitting (782), into two cases.
% 267.73/208.90 |-Branch one:
% 267.73/208.90 | (747) all_0_30_30 = e2
% 267.73/208.90 |
% 267.73/208.90 | Equations (747) can reduce 740 to:
% 267.73/208.90 | (366) $false
% 267.73/208.90 |
% 267.73/208.90 |-The branch is then unsatisfiable
% 267.73/208.90 |-Branch two:
% 267.73/208.90 | (740) ~ (all_0_30_30 = e2)
% 267.73/208.90 | (786) all_0_30_30 = e1 | all_0_30_30 = e0
% 267.73/208.90 |
% 267.73/208.90 +-Applying beta-rule and splitting (786), into two cases.
% 267.73/208.90 |-Branch one:
% 267.73/208.90 | (787) all_0_30_30 = e1
% 267.73/208.90 |
% 267.73/208.90 | Equations (787) can reduce 509 to:
% 267.73/208.90 | (477) ~ (e4 = e1)
% 267.73/208.90 |
% 267.73/208.90 | Simplifying 477 yields:
% 267.73/208.90 | (65) ~ (e4 = e1)
% 267.73/208.90 |
% 267.73/208.90 | From (787) and (12210) follows:
% 267.73/208.90 | (16329) op(e4, e1) = e1
% 267.73/208.90 |
% 267.73/208.90 +-Applying beta-rule and splitting (23253), into two cases.
% 267.73/208.90 |-Branch one:
% 267.73/208.90 | (16330) ~ (op(e4, e1) = e1)
% 267.73/208.90 |
% 267.73/208.90 | Using (16329) and (16330) yields:
% 267.73/208.90 | (821) $false
% 267.73/208.90 |
% 267.73/208.90 |-The branch is then unsatisfiable
% 267.73/208.90 |-Branch two:
% 267.73/208.90 | (16329) op(e4, e1) = e1
% 267.73/208.90 | (480) e4 = e1
% 267.73/208.90 |
% 267.73/208.90 | Equations (480) can reduce 65 to:
% 267.73/208.90 | (366) $false
% 267.73/208.90 |
% 267.73/208.90 |-The branch is then unsatisfiable
% 267.73/208.90 |-Branch two:
% 267.73/208.90 | (422) ~ (all_0_30_30 = e1)
% 267.73/208.90 | (790) all_0_30_30 = e0
% 267.73/208.90 |
% 267.73/208.90 | Equations (790) can reduce 1878 to:
% 267.73/208.90 | (366) $false
% 267.73/208.90 |
% 267.73/208.90 |-The branch is then unsatisfiable
% 267.73/208.90 |-Branch two:
% 267.73/208.90 | (29109) ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.73/208.90 |
% 267.73/208.90 | Applying alpha-rule on (29109) yields:
% 267.73/208.90 | (29110) ~ (all_0_4_4 = e0)
% 267.73/208.90 | (23785) op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.73/208.90 |
% 267.73/208.90 | From (1229)(1229) and (23785) follows:
% 267.73/208.90 | (23786) op(e4, e4) = all_0_4_4
% 267.73/208.90 |
% 267.73/208.90 | Instantiating formula (97) with e4, e4, all_0_4_4, e0 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e0, yields:
% 267.73/208.90 | (29113) all_0_4_4 = e0
% 267.73/208.90 |
% 267.73/208.91 | Equations (29113) can reduce 29110 to:
% 267.73/208.91 | (366) $false
% 267.73/208.91 |
% 267.73/208.91 |-The branch is then unsatisfiable
% 267.73/208.91 |-Branch two:
% 267.73/208.91 | (29109) ~ (all_0_4_4 = e0) & op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.73/208.91 |
% 267.73/208.91 | Applying alpha-rule on (29109) yields:
% 267.73/208.91 | (29110) ~ (all_0_4_4 = e0)
% 267.73/208.91 | (23785) op(all_0_32_32, all_0_32_32) = all_0_4_4
% 267.73/208.91 |
% 267.73/208.91 | From (1229)(1229) and (23785) follows:
% 267.73/208.91 | (23786) op(e4, e4) = all_0_4_4
% 267.73/208.91 |
% 267.73/208.91 | Instantiating formula (97) with e4, e4, all_0_4_4, e0 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e0, yields:
% 267.73/208.91 | (29113) all_0_4_4 = e0
% 267.73/208.91 |
% 267.73/208.91 | Equations (29113) can reduce 29110 to:
% 267.73/208.91 | (366) $false
% 267.73/208.91 |
% 267.73/208.91 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (727) ~ (all_0_32_32 = e4)
% 267.73/208.92 | (1232) all_0_37_37 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (1232) can reduce 2658 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (582) ~ (all_0_26_26 = e4)
% 267.73/208.92 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (6243), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (449) all_0_21_21 = e4
% 267.73/208.92 |
% 267.73/208.92 | Combining equations (453,449) yields a new equation:
% 267.73/208.92 | (691) e4 = e3
% 267.73/208.92 |
% 267.73/208.92 | Equations (691) can reduce 277 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (448) ~ (all_0_21_21 = e4)
% 267.73/208.92 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (6248), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (1237) all_0_26_26 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (1237) can reduce 582 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (582) ~ (all_0_26_26 = e4)
% 267.73/208.92 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (6263), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (1446) all_0_31_31 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (1446) can reduce 247 to:
% 267.73/208.92 | (1495) ~ (all_0_32_32 = e4)
% 267.73/208.92 |
% 267.73/208.92 | Simplifying 1495 yields:
% 267.73/208.92 | (727) ~ (all_0_32_32 = e4)
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (1152), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (435) all_0_27_27 = e4
% 267.73/208.92 |
% 267.73/208.92 | Combining equations (543,435) yields a new equation:
% 267.73/208.92 | (480) e4 = e1
% 267.73/208.92 |
% 267.73/208.92 | Equations (480) can reduce 65 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (404) ~ (all_0_27_27 = e4)
% 267.73/208.92 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (1222), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (1229) all_0_32_32 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (1229) can reduce 727 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (727) ~ (all_0_32_32 = e4)
% 267.73/208.92 | (1232) all_0_37_37 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (1232) can reduce 2658 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (584) ~ (all_0_31_31 = e4)
% 267.73/208.92 | (2611) all_0_36_36 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (2611) can reduce 586 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (1046) ~ (all_0_18_18 = e4)
% 267.73/208.92 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (694), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (701) all_0_16_16 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (701) can reduce 573 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (573) ~ (all_0_16_16 = e4)
% 267.73/208.92 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (864), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (865) all_0_17_17 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (865) can reduce 286 to:
% 267.73/208.92 | (1495) ~ (all_0_32_32 = e4)
% 267.73/208.92 |
% 267.73/208.92 | Simplifying 1495 yields:
% 267.73/208.92 | (727) ~ (all_0_32_32 = e4)
% 267.73/208.92 |
% 267.73/208.92 | Equations (865) can reduce 1501 to:
% 267.73/208.92 | (65) ~ (e4 = e1)
% 267.73/208.92 |
% 267.73/208.92 | From (865) and (49) follows:
% 267.73/208.92 | (5082) op(all_0_25_25, e4) = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (327), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (768) all_0_30_30 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (768) can reduce 509 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (509) ~ (all_0_30_30 = e4)
% 267.73/208.92 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (1437), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (1446) all_0_31_31 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (1446) can reduce 145 to:
% 267.73/208.92 | (582) ~ (all_0_26_26 = e4)
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (1217), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (1237) all_0_26_26 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (1237) can reduce 582 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (582) ~ (all_0_26_26 = e4)
% 267.73/208.92 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (1240), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (435) all_0_27_27 = e4
% 267.73/208.92 |
% 267.73/208.92 | Combining equations (543,435) yields a new equation:
% 267.73/208.92 | (480) e4 = e1
% 267.73/208.92 |
% 267.73/208.92 | Equations (480) can reduce 65 to:
% 267.73/208.92 | (366) $false
% 267.73/208.92 |
% 267.73/208.92 |-The branch is then unsatisfiable
% 267.73/208.92 |-Branch two:
% 267.73/208.92 | (404) ~ (all_0_27_27 = e4)
% 267.73/208.92 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (1245), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (892) all_0_28_28 = e4
% 267.73/208.92 |
% 267.73/208.92 | Equations (892) can reduce 193 to:
% 267.73/208.92 | (501) ~ (all_0_25_25 = e4)
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (15001), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (20704) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)
% 267.73/208.92 |
% 267.73/208.92 | Applying alpha-rule on (20704) yields:
% 267.73/208.92 | (18221) all_0_8_8 = all_0_28_28
% 267.73/208.92 | (886) ~ (all_0_28_28 = e0)
% 267.73/208.92 |
% 267.73/208.92 | Combining equations (892,18221) yields a new equation:
% 267.73/208.92 | (18227) all_0_8_8 = e4
% 267.73/208.92 |
% 267.73/208.92 +-Applying beta-rule and splitting (15025), into two cases.
% 267.73/208.92 |-Branch one:
% 267.73/208.92 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 267.73/208.92 |
% 267.73/208.92 | Applying alpha-rule on (18220) yields:
% 267.73/208.92 | (18221) all_0_8_8 = all_0_28_28
% 267.73/208.92 | (890) ~ (all_0_28_28 = e4)
% 267.73/208.93 |
% 267.73/208.93 | Combining equations (18221,18227) yields a new equation:
% 267.73/208.93 | (18238) all_0_28_28 = e4
% 267.73/208.93 |
% 267.73/208.93 | Simplifying 18238 yields:
% 267.73/208.93 | (892) all_0_28_28 = e4
% 267.73/208.93 |
% 267.73/208.93 | Equations (892) can reduce 890 to:
% 267.73/208.93 | (366) $false
% 267.73/208.93 |
% 267.73/208.93 |-The branch is then unsatisfiable
% 267.73/208.93 |-Branch two:
% 267.73/208.93 | (18224) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 267.73/208.93 |
% 267.73/208.93 | Applying alpha-rule on (18224) yields:
% 267.73/208.93 | (18221) all_0_8_8 = all_0_28_28
% 267.73/208.93 | (18226) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 267.73/208.93 |
% 267.73/208.93 | Combining equations (18221,18227) yields a new equation:
% 267.73/208.93 | (18238) all_0_28_28 = e4
% 267.73/208.93 |
% 267.73/208.93 | Simplifying 18238 yields:
% 267.73/208.93 | (892) all_0_28_28 = e4
% 267.73/208.93 |
% 267.73/208.93 +-Applying beta-rule and splitting (18226), into two cases.
% 267.73/208.93 |-Branch one:
% 267.73/208.93 | (19547) ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6
% 267.73/208.93 |
% 267.73/208.93 | Applying alpha-rule on (19547) yields:
% 267.73/208.93 | (19548) ~ (all_0_6_6 = e3)
% 267.73/208.93 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 267.73/208.93 |
% 267.73/208.93 | From (892) and (19549) follows:
% 267.73/208.93 | (20760) op(e2, e4) = all_0_6_6
% 267.73/208.93 |
% 267.73/208.93 | Instantiating formula (97) with e2, e4, all_0_6_6, all_0_25_25 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = all_0_25_25, yields:
% 267.73/208.93 | (20761) all_0_6_6 = all_0_25_25
% 267.73/208.93 |
% 267.73/208.93 | Instantiating formula (97) with e2, e4, all_0_6_6, e4 and discharging atoms op(e2, e4) = all_0_6_6, yields:
% 267.73/208.93 | (29442) all_0_6_6 = e4 | ~ (op(e2, e4) = e4)
% 267.73/208.93 |
% 267.73/208.94 | Equations (20761) can reduce 19548 to:
% 267.73/208.94 | (566) ~ (all_0_25_25 = e3)
% 267.73/208.94 |
% 267.73/208.94 +-Applying beta-rule and splitting (245), into two cases.
% 267.73/208.94 |-Branch one:
% 267.73/208.94 | (1158) all_0_25_25 = e4
% 267.73/208.94 |
% 267.73/208.94 | Equations (1158) can reduce 501 to:
% 267.73/208.94 | (366) $false
% 267.73/208.94 |
% 267.73/208.94 |-The branch is then unsatisfiable
% 267.73/208.94 |-Branch two:
% 267.73/208.94 | (501) ~ (all_0_25_25 = e4)
% 267.73/208.94 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.73/208.94 |
% 267.73/208.94 +-Applying beta-rule and splitting (3136), into two cases.
% 267.73/208.94 |-Branch one:
% 267.73/208.94 | (2438) all_0_25_25 = e3
% 267.73/208.94 |
% 267.73/208.94 | Equations (2438) can reduce 566 to:
% 267.73/208.94 | (366) $false
% 267.73/208.94 |
% 267.73/208.94 |-The branch is then unsatisfiable
% 267.73/208.94 |-Branch two:
% 267.73/208.94 | (566) ~ (all_0_25_25 = e3)
% 267.73/208.94 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.73/208.94 |
% 267.73/208.94 +-Applying beta-rule and splitting (3158), into two cases.
% 267.73/208.94 |-Branch one:
% 267.73/208.94 | (3159) all_0_25_25 = e2
% 267.73/208.94 |
% 267.73/208.94 | Combining equations (3159,20761) yields a new equation:
% 267.73/208.94 | (29453) all_0_6_6 = e2
% 267.73/208.94 |
% 267.73/208.94 | Equations (3159) can reduce 501 to:
% 267.73/208.94 | (444) ~ (e4 = e2)
% 267.73/208.94 |
% 267.73/208.94 | Simplifying 444 yields:
% 267.73/208.94 | (19) ~ (e4 = e2)
% 267.73/208.94 |
% 267.73/208.94 | From (3159) and (5082) follows:
% 267.73/208.94 | (3199) op(e2, e4) = e4
% 267.73/208.94 |
% 267.73/208.94 +-Applying beta-rule and splitting (29442), into two cases.
% 267.73/208.94 |-Branch one:
% 267.73/208.94 | (3200) ~ (op(e2, e4) = e4)
% 267.73/208.94 |
% 267.73/208.94 | Using (3199) and (3200) yields:
% 267.73/208.94 | (821) $false
% 267.73/208.94 |
% 267.73/208.94 |-The branch is then unsatisfiable
% 267.73/208.94 |-Branch two:
% 267.73/208.94 | (3199) op(e2, e4) = e4
% 267.73/208.94 | (19612) all_0_6_6 = e4
% 267.73/208.94 |
% 267.73/208.94 | Combining equations (29453,19612) yields a new equation:
% 267.73/208.94 | (539) e4 = e2
% 267.73/208.94 |
% 267.73/208.94 | Equations (539) can reduce 19 to:
% 267.73/208.94 | (366) $false
% 267.73/208.94 |
% 267.73/208.94 |-The branch is then unsatisfiable
% 267.73/208.94 |-Branch two:
% 267.73/208.94 | (646) ~ (all_0_25_25 = e2)
% 267.73/208.94 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 267.73/208.94 |
% 267.73/208.94 +-Applying beta-rule and splitting (3162), into two cases.
% 267.73/208.94 |-Branch one:
% 267.73/208.94 | (950) all_0_25_25 = e1
% 267.73/208.94 |
% 267.73/208.94 | Equations (950) can reduce 946 to:
% 267.73/208.94 | (366) $false
% 267.73/208.94 |
% 267.73/208.94 |-The branch is then unsatisfiable
% 267.73/208.94 |-Branch two:
% 267.73/208.94 | (946) ~ (all_0_25_25 = e1)
% 267.73/208.94 | (1921) all_0_25_25 = e0
% 267.73/208.94 |
% 267.73/208.94 | Equations (1921) can reduce 1925 to:
% 267.73/208.94 | (366) $false
% 267.73/208.94 |
% 267.73/208.94 |-The branch is then unsatisfiable
% 267.73/208.94 |-Branch two:
% 267.73/208.94 | (19925) ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.73/208.94 |
% 267.73/208.94 | Applying alpha-rule on (19925) yields:
% 267.73/208.94 | (19926) ~ (all_0_7_7 = e0)
% 267.73/208.94 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.73/208.94 |
% 267.73/208.94 | From (892)(892) and (19927) follows:
% 267.73/208.94 | (20831) op(e4, e4) = all_0_7_7
% 267.73/208.94 |
% 267.73/208.94 | Instantiating formula (97) with e4, e4, all_0_7_7, e0 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e0, yields:
% 267.73/208.95 | (19929) all_0_7_7 = e0
% 267.73/208.95 |
% 267.73/208.95 | Equations (19929) can reduce 19926 to:
% 267.73/208.95 | (366) $false
% 267.73/208.95 |
% 267.73/208.95 |-The branch is then unsatisfiable
% 267.73/208.95 |-Branch two:
% 267.73/208.95 | (24139) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 267.73/208.95 |
% 267.73/208.95 | Applying alpha-rule on (24139) yields:
% 267.73/208.95 | (18221) all_0_8_8 = all_0_28_28
% 267.73/208.95 | (24141) ( ~ (all_0_6_6 = e4) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e3) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 267.73/208.95 |
% 267.73/208.95 | Combining equations (892,18221) yields a new equation:
% 267.73/208.95 | (18227) all_0_8_8 = e4
% 267.73/208.95 |
% 267.73/208.95 +-Applying beta-rule and splitting (15025), into two cases.
% 267.73/208.95 |-Branch one:
% 267.73/208.95 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 267.73/208.95 |
% 267.73/208.95 | Applying alpha-rule on (18220) yields:
% 267.73/208.95 | (18221) all_0_8_8 = all_0_28_28
% 267.73/208.95 | (890) ~ (all_0_28_28 = e4)
% 267.73/208.95 |
% 267.73/208.95 | Combining equations (18221,18227) yields a new equation:
% 267.73/208.95 | (18238) all_0_28_28 = e4
% 267.73/208.95 |
% 267.73/208.95 | Simplifying 18238 yields:
% 267.73/208.95 | (892) all_0_28_28 = e4
% 267.73/208.95 |
% 267.73/208.95 | Equations (892) can reduce 890 to:
% 267.73/208.95 | (366) $false
% 267.73/208.95 |
% 267.73/208.95 |-The branch is then unsatisfiable
% 267.73/208.95 |-Branch two:
% 267.73/208.95 | (18224) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 267.73/208.95 |
% 267.73/208.96 | Applying alpha-rule on (18224) yields:
% 267.73/208.96 | (18221) all_0_8_8 = all_0_28_28
% 267.73/208.96 | (18226) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 267.73/208.96 |
% 267.73/208.96 | Combining equations (18221,18227) yields a new equation:
% 267.73/208.96 | (18238) all_0_28_28 = e4
% 267.73/208.96 |
% 267.73/208.96 | Simplifying 18238 yields:
% 267.73/208.96 | (892) all_0_28_28 = e4
% 267.73/208.96 |
% 267.73/208.96 +-Applying beta-rule and splitting (18226), into two cases.
% 267.73/208.96 |-Branch one:
% 267.73/208.96 | (19547) ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6
% 267.73/208.96 |
% 267.73/208.96 | Applying alpha-rule on (19547) yields:
% 267.73/208.96 | (19548) ~ (all_0_6_6 = e3)
% 267.73/208.96 | (19549) op(e2, all_0_28_28) = all_0_6_6
% 267.73/208.96 |
% 267.73/208.96 | From (892) and (19549) follows:
% 267.73/208.96 | (20760) op(e2, e4) = all_0_6_6
% 267.73/208.96 |
% 267.73/208.96 | Instantiating formula (97) with e2, e4, all_0_6_6, all_0_25_25 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = all_0_25_25, yields:
% 267.73/208.96 | (20761) all_0_6_6 = all_0_25_25
% 267.73/208.96 |
% 267.73/208.96 | Instantiating formula (97) with e2, e4, all_0_6_6, e4 and discharging atoms op(e2, e4) = all_0_6_6, yields:
% 267.73/208.96 | (29442) all_0_6_6 = e4 | ~ (op(e2, e4) = e4)
% 267.73/208.96 |
% 267.87/208.96 | Equations (20761) can reduce 19548 to:
% 267.87/208.96 | (566) ~ (all_0_25_25 = e3)
% 267.87/208.96 |
% 267.87/208.96 +-Applying beta-rule and splitting (245), into two cases.
% 267.87/208.96 |-Branch one:
% 267.87/208.96 | (1158) all_0_25_25 = e4
% 267.87/208.96 |
% 267.87/208.96 | Equations (1158) can reduce 501 to:
% 267.87/208.96 | (366) $false
% 267.87/208.96 |
% 267.87/208.96 |-The branch is then unsatisfiable
% 267.87/208.96 |-Branch two:
% 267.87/208.96 | (501) ~ (all_0_25_25 = e4)
% 267.87/208.96 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.87/208.96 |
% 267.87/208.96 +-Applying beta-rule and splitting (3136), into two cases.
% 267.87/208.96 |-Branch one:
% 267.87/208.96 | (2438) all_0_25_25 = e3
% 267.87/208.96 |
% 267.87/208.96 | Equations (2438) can reduce 566 to:
% 267.87/208.96 | (366) $false
% 267.87/208.96 |
% 267.87/208.96 |-The branch is then unsatisfiable
% 267.87/208.96 |-Branch two:
% 267.87/208.96 | (566) ~ (all_0_25_25 = e3)
% 267.87/208.96 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 267.87/208.96 |
% 267.87/208.96 +-Applying beta-rule and splitting (3158), into two cases.
% 267.87/208.96 |-Branch one:
% 267.87/208.96 | (3159) all_0_25_25 = e2
% 267.87/208.96 |
% 267.87/208.96 | Combining equations (3159,20761) yields a new equation:
% 267.87/208.97 | (29453) all_0_6_6 = e2
% 267.87/208.97 |
% 267.87/208.97 | Equations (3159) can reduce 501 to:
% 267.87/208.97 | (444) ~ (e4 = e2)
% 267.87/208.97 |
% 267.87/208.97 | Simplifying 444 yields:
% 267.87/208.97 | (19) ~ (e4 = e2)
% 267.87/208.97 |
% 267.87/208.97 | From (3159) and (5082) follows:
% 267.87/208.97 | (3199) op(e2, e4) = e4
% 267.87/208.97 |
% 267.87/208.97 +-Applying beta-rule and splitting (29442), into two cases.
% 267.87/208.97 |-Branch one:
% 267.87/208.97 | (3200) ~ (op(e2, e4) = e4)
% 267.87/208.97 |
% 267.87/208.97 | Using (3199) and (3200) yields:
% 267.87/208.97 | (821) $false
% 267.87/208.97 |
% 267.87/208.97 |-The branch is then unsatisfiable
% 267.87/208.97 |-Branch two:
% 267.87/208.97 | (3199) op(e2, e4) = e4
% 267.87/208.97 | (19612) all_0_6_6 = e4
% 267.87/208.97 |
% 267.87/208.97 | Combining equations (29453,19612) yields a new equation:
% 267.87/208.97 | (539) e4 = e2
% 267.87/208.97 |
% 267.87/208.97 | Equations (539) can reduce 19 to:
% 267.87/208.97 | (366) $false
% 267.87/208.97 |
% 267.87/208.97 |-The branch is then unsatisfiable
% 267.89/208.97 |-Branch two:
% 267.89/208.97 | (646) ~ (all_0_25_25 = e2)
% 267.89/208.97 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 267.89/208.97 |
% 267.89/208.97 +-Applying beta-rule and splitting (3162), into two cases.
% 267.89/208.97 |-Branch one:
% 267.89/208.97 | (950) all_0_25_25 = e1
% 267.89/208.97 |
% 267.89/208.97 | Equations (950) can reduce 946 to:
% 267.89/208.97 | (366) $false
% 267.89/208.97 |
% 267.89/208.97 |-The branch is then unsatisfiable
% 267.89/208.97 |-Branch two:
% 267.89/208.97 | (946) ~ (all_0_25_25 = e1)
% 267.89/208.97 | (1921) all_0_25_25 = e0
% 267.89/208.97 |
% 267.89/208.97 | Equations (1921) can reduce 1925 to:
% 267.89/208.97 | (366) $false
% 267.89/208.97 |
% 267.89/208.97 |-The branch is then unsatisfiable
% 267.89/208.97 |-Branch two:
% 267.89/208.97 | (19925) ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.89/208.97 |
% 267.89/208.97 | Applying alpha-rule on (19925) yields:
% 267.89/208.97 | (19926) ~ (all_0_7_7 = e0)
% 267.89/208.97 | (19927) op(all_0_28_28, all_0_28_28) = all_0_7_7
% 267.89/208.97 |
% 267.89/208.97 | From (892)(892) and (19927) follows:
% 267.89/208.97 | (20831) op(e4, e4) = all_0_7_7
% 267.89/208.97 |
% 267.89/208.97 | Instantiating formula (97) with e4, e4, all_0_7_7, e0 and discharging atoms op(e4, e4) = all_0_7_7, op(e4, e4) = e0, yields:
% 267.89/208.97 | (19929) all_0_7_7 = e0
% 267.89/208.97 |
% 267.89/208.97 | Equations (19929) can reduce 19926 to:
% 267.89/208.97 | (366) $false
% 267.89/208.97 |
% 267.89/208.97 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (890) ~ (all_0_28_28 = e4)
% 267.89/208.98 | (1250) all_0_29_29 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (1250) can reduce 724 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (584) ~ (all_0_31_31 = e4)
% 267.89/208.98 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (1449), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (1229) all_0_32_32 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (1229) can reduce 727 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (727) ~ (all_0_32_32 = e4)
% 267.89/208.98 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (1476), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (406) all_0_33_33 = e4
% 267.89/208.98 |
% 267.89/208.98 | Combining equations (414,406) yields a new equation:
% 267.89/208.98 | (539) e4 = e2
% 267.89/208.98 |
% 267.89/208.98 | Equations (539) can reduce 19 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (405) ~ (all_0_33_33 = e4)
% 267.89/208.98 | (723) all_0_34_34 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (723) can reduce 1395 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (869) ~ (all_0_17_17 = e4)
% 267.89/208.98 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (870), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (887) all_0_18_18 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (887) can reduce 1046 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (1046) ~ (all_0_18_18 = e4)
% 267.89/208.98 | (711) all_0_19_19 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (711) can reduce 714 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (496) ~ (all_0_20_20 = e4)
% 267.89/208.98 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (8), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (464) all_0_15_15 = e4
% 267.89/208.98 |
% 267.89/208.98 | Combining equations (464,483) yields a new equation:
% 267.89/208.98 | (842) e4 = e0
% 267.89/208.98 |
% 267.89/208.98 | Simplifying 842 yields:
% 267.89/208.98 | (490) e4 = e0
% 267.89/208.98 |
% 267.89/208.98 | Equations (490) can reduce 287 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (460) ~ (all_0_15_15 = e4)
% 267.89/208.98 | (914) all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (231), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (1453) all_0_20_20 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (1453) can reduce 496 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (496) ~ (all_0_20_20 = e4)
% 267.89/208.98 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (114), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (472) all_0_15_15 = e2
% 267.89/208.98 |
% 267.89/208.98 | Combining equations (472,483) yields a new equation:
% 267.89/208.98 | (836) e2 = e0
% 267.89/208.98 |
% 267.89/208.98 | Simplifying 836 yields:
% 267.89/208.98 | (551) e2 = e0
% 267.89/208.98 |
% 267.89/208.98 | Equations (551) can reduce 347 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (447) ~ (all_0_15_15 = e2)
% 267.89/208.98 | (2791) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 267.89/208.98 |
% 267.89/208.98 | Equations (483) can reduce 447 to:
% 267.89/208.98 | (393) ~ (e2 = e0)
% 267.89/208.98 |
% 267.89/208.98 | Simplifying 393 yields:
% 267.89/208.98 | (347) ~ (e2 = e0)
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (182), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (1237) all_0_26_26 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (1237) can reduce 139 to:
% 267.89/208.98 | (573) ~ (all_0_16_16 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Equations (1237) can reduce 128 to:
% 267.89/208.98 | (501) ~ (all_0_25_25 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Equations (1237) can reduce 46 to:
% 267.89/208.98 | (889) ~ (all_0_28_28 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Simplifying 889 yields:
% 267.89/208.98 | (890) ~ (all_0_28_28 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Equations (1237) can reduce 38 to:
% 267.89/208.98 | (2797) ~ (all_0_29_29 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Simplifying 2797 yields:
% 267.89/208.98 | (724) ~ (all_0_29_29 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Equations (1237) can reduce 504 to:
% 267.89/208.98 | (277) ~ (e4 = e3)
% 267.89/208.98 |
% 267.89/208.98 | Equations (1237) can reduce 1008 to:
% 267.89/208.98 | (65) ~ (e4 = e1)
% 267.89/208.98 |
% 267.89/208.98 | From (1237) and (234) follows:
% 267.89/208.98 | (5602) op(all_0_22_22, e4) = e2
% 267.89/208.98 |
% 267.89/208.98 | From (1237) and (147) follows:
% 267.89/208.98 | (7983) op(e4, all_0_22_22) = e3
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (15025), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (18220) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Applying alpha-rule on (18220) yields:
% 267.89/208.98 | (18221) all_0_8_8 = all_0_28_28
% 267.89/208.98 | (890) ~ (all_0_28_28 = e4)
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (914), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (1453) all_0_20_20 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (1453) can reduce 496 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (496) ~ (all_0_20_20 = e4)
% 267.89/208.98 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (1456), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (1158) all_0_25_25 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (1158) can reduce 501 to:
% 267.89/208.98 | (366) $false
% 267.89/208.98 |
% 267.89/208.98 |-The branch is then unsatisfiable
% 267.89/208.98 |-Branch two:
% 267.89/208.98 | (501) ~ (all_0_25_25 = e4)
% 267.89/208.98 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (1460), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.98 | (768) all_0_30_30 = e4
% 267.89/208.98 |
% 267.89/208.98 | Equations (768) can reduce 217 to:
% 267.89/208.98 | (583) ~ (all_0_31_31 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Simplifying 583 yields:
% 267.89/208.98 | (584) ~ (all_0_31_31 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Equations (768) can reduce 186 to:
% 267.89/208.98 | (1495) ~ (all_0_32_32 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Simplifying 1495 yields:
% 267.89/208.98 | (727) ~ (all_0_32_32 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Equations (768) can reduce 96 to:
% 267.89/208.98 | (1159) ~ (all_0_35_35 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Simplifying 1159 yields:
% 267.89/208.98 | (514) ~ (all_0_35_35 = e4)
% 267.89/208.98 |
% 267.89/208.98 | Equations (768) can reduce 740 to:
% 267.89/208.98 | (19) ~ (e4 = e2)
% 267.89/208.98 |
% 267.89/208.98 | Equations (768) can reduce 1878 to:
% 267.89/208.98 | (287) ~ (e4 = e0)
% 267.89/208.98 |
% 267.89/208.98 | From (768) and (238) follows:
% 267.89/208.98 | (26221) op(all_0_18_18, e4) = e1
% 267.89/208.98 |
% 267.89/208.98 | From (768) and (290) follows:
% 267.89/208.98 | (2823) op(e4, all_0_18_18) = e4
% 267.89/208.98 |
% 267.89/208.98 | From (768) and (68) follows:
% 267.89/208.98 | (4267) op(e1, e4) = e4
% 267.89/208.98 |
% 267.89/208.98 +-Applying beta-rule and splitting (15030), into two cases.
% 267.89/208.98 |-Branch one:
% 267.89/208.99 | (20680) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 267.89/208.99 |
% 267.89/208.99 | Applying alpha-rule on (20680) yields:
% 267.89/208.99 | (20681) all_0_5_5 = all_0_32_32
% 267.89/208.99 | (727) ~ (all_0_32_32 = e4)
% 267.89/208.99 |
% 267.89/208.99 | Instantiating formula (97) with e4, e4, e2, e0 and discharging atoms op(e4, e4) = e0, yields:
% 267.89/208.99 | (25576) e2 = e0 | ~ (op(e4, e4) = e2)
% 267.89/208.99 |
% 267.89/208.99 | Instantiating formula (97) with e0, e4, e2, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 267.89/208.99 | (8732) all_0_35_35 = e2 | ~ (op(e0, e4) = e2)
% 267.89/208.99 |
% 267.89/208.99 | Instantiating formula (97) with all_0_22_22, e4, e2, e1 and discharging atoms op(all_0_22_22, e4) = e2, yields:
% 267.89/208.99 | (29611) e2 = e1 | ~ (op(all_0_22_22, e4) = e1)
% 267.89/208.99 |
% 267.89/208.99 | Instantiating formula (97) with e4, all_0_22_22, e3, e4 and discharging atoms op(e4, all_0_22_22) = e3, yields:
% 267.89/208.99 | (24663) e4 = e3 | ~ (op(e4, all_0_22_22) = e4)
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (340), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (697) all_0_16_16 = e2
% 267.89/208.99 |
% 267.89/208.99 | Equations (697) can reduce 169 to:
% 267.89/208.99 | (7439) ~ (all_0_17_17 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 7439 yields:
% 267.89/208.99 | (459) ~ (all_0_17_17 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Equations (697) can reduce 64 to:
% 267.89/208.99 | (755) ~ (all_0_36_36 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 755 yields:
% 267.89/208.99 | (756) ~ (all_0_36_36 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Equations (697) can reduce 573 to:
% 267.89/208.99 | (444) ~ (e4 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 444 yields:
% 267.89/208.99 | (19) ~ (e4 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Equations (697) can reduce 458 to:
% 267.89/208.99 | (658) ~ (e3 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 658 yields:
% 267.89/208.99 | (56) ~ (e3 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Equations (697) can reduce 824 to:
% 267.89/208.99 | (347) ~ (e2 = e0)
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (261), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (1229) all_0_32_32 = e4
% 267.89/208.99 |
% 267.89/208.99 | Equations (1229) can reduce 727 to:
% 267.89/208.99 | (366) $false
% 267.89/208.99 |
% 267.89/208.99 |-The branch is then unsatisfiable
% 267.89/208.99 |-Branch two:
% 267.89/208.99 | (727) ~ (all_0_32_32 = e4)
% 267.89/208.99 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (159), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (787) all_0_30_30 = e1
% 267.89/208.99 |
% 267.89/208.99 | Combining equations (787,768) yields a new equation:
% 267.89/208.99 | (480) e4 = e1
% 267.89/208.99 |
% 267.89/208.99 | Equations (480) can reduce 65 to:
% 267.89/208.99 | (366) $false
% 267.89/208.99 |
% 267.89/208.99 |-The branch is then unsatisfiable
% 267.89/208.99 |-Branch two:
% 267.89/208.99 | (422) ~ (all_0_30_30 = e1)
% 267.89/208.99 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 267.89/208.99 |
% 267.89/208.99 | Equations (768) can reduce 422 to:
% 267.89/208.99 | (65) ~ (e4 = e1)
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (29), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (476) all_0_15_15 = e1
% 267.89/208.99 |
% 267.89/208.99 | Combining equations (476,483) yields a new equation:
% 267.89/208.99 | (960) e1 = e0
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 960 yields:
% 267.89/208.99 | (961) e1 = e0
% 267.89/208.99 |
% 267.89/208.99 | Equations (961) can reduce 37 to:
% 267.89/208.99 | (366) $false
% 267.89/208.99 |
% 267.89/208.99 |-The branch is then unsatisfiable
% 267.89/208.99 |-Branch two:
% 267.89/208.99 | (482) ~ (all_0_15_15 = e1)
% 267.89/208.99 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 267.89/208.99 |
% 267.89/208.99 | Equations (483) can reduce 482 to:
% 267.89/208.99 | (395) ~ (e1 = e0)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 395 yields:
% 267.89/208.99 | (37) ~ (e1 = e0)
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (59), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (865) all_0_17_17 = e4
% 267.89/208.99 |
% 267.89/208.99 | Equations (865) can reduce 74 to:
% 267.89/208.99 | (1493) ~ (all_0_18_18 = e4)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 1493 yields:
% 267.89/208.99 | (1046) ~ (all_0_18_18 = e4)
% 267.89/208.99 |
% 267.89/208.99 | Equations (865) can reduce 459 to:
% 267.89/208.99 | (19) ~ (e4 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Equations (865) can reduce 2422 to:
% 267.89/208.99 | (287) ~ (e4 = e0)
% 267.89/208.99 |
% 267.89/208.99 | From (865) and (219) follows:
% 267.89/208.99 | (1462) op(e4, e2) = e4
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (36), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (887) all_0_18_18 = e4
% 267.89/208.99 |
% 267.89/208.99 | Equations (887) can reduce 1046 to:
% 267.89/208.99 | (366) $false
% 267.89/208.99 |
% 267.89/208.99 |-The branch is then unsatisfiable
% 267.89/208.99 |-Branch two:
% 267.89/208.99 | (1046) ~ (all_0_18_18 = e4)
% 267.89/208.99 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (1051), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (1515) all_0_23_23 = e4
% 267.89/208.99 |
% 267.89/208.99 | Equations (1515) can reduce 346 to:
% 267.89/208.99 | (576) ~ (all_0_22_22 = e4)
% 267.89/208.99 |
% 267.89/208.99 | Equations (1515) can reduce 982 to:
% 267.89/208.99 | (277) ~ (e4 = e3)
% 267.89/208.99 |
% 267.89/208.99 | Equations (1515) can reduce 810 to:
% 267.89/208.99 | (19) ~ (e4 = e2)
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (214), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (797) all_0_35_35 = e2
% 267.89/208.99 |
% 267.89/208.99 | Equations (797) can reduce 98 to:
% 267.89/208.99 | (646) ~ (all_0_25_25 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Equations (797) can reduce 121 to:
% 267.89/208.99 | (654) ~ (all_0_37_37 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 654 yields:
% 267.89/208.99 | (515) ~ (all_0_37_37 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Equations (797) can reduce 514 to:
% 267.89/208.99 | (444) ~ (e4 = e2)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 444 yields:
% 267.89/208.99 | (19) ~ (e4 = e2)
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (23), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (3159) all_0_25_25 = e2
% 267.89/208.99 |
% 267.89/208.99 | Equations (3159) can reduce 646 to:
% 267.89/208.99 | (366) $false
% 267.89/208.99 |
% 267.89/208.99 |-The branch is then unsatisfiable
% 267.89/208.99 |-Branch two:
% 267.89/208.99 | (646) ~ (all_0_25_25 = e2)
% 267.89/208.99 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (13669), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (2380) all_0_26_26 = e2
% 267.89/208.99 |
% 267.89/208.99 | Combining equations (1237,2380) yields a new equation:
% 267.89/208.99 | (1111) e4 = e2
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 1111 yields:
% 267.89/208.99 | (539) e4 = e2
% 267.89/208.99 |
% 267.89/208.99 | Equations (539) can reduce 19 to:
% 267.89/208.99 | (366) $false
% 267.89/208.99 |
% 267.89/208.99 |-The branch is then unsatisfiable
% 267.89/208.99 |-Branch two:
% 267.89/208.99 | (647) ~ (all_0_26_26 = e2)
% 267.89/208.99 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 267.89/208.99 |
% 267.89/208.99 | Equations (1237) can reduce 647 to:
% 267.89/208.99 | (19) ~ (e4 = e2)
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (203), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (1980) all_0_17_17 = e2
% 267.89/208.99 |
% 267.89/208.99 | Combining equations (865,1980) yields a new equation:
% 267.89/208.99 | (1111) e4 = e2
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 1111 yields:
% 267.89/208.99 | (539) e4 = e2
% 267.89/208.99 |
% 267.89/208.99 | Equations (539) can reduce 19 to:
% 267.89/208.99 | (366) $false
% 267.89/208.99 |
% 267.89/208.99 |-The branch is then unsatisfiable
% 267.89/208.99 |-Branch two:
% 267.89/208.99 | (459) ~ (all_0_17_17 = e2)
% 267.89/208.99 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (13681), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (443) all_0_27_27 = e2
% 267.89/208.99 |
% 267.89/208.99 | Combining equations (543,443) yields a new equation:
% 267.89/208.99 | (718) e2 = e1
% 267.89/208.99 |
% 267.89/208.99 | Equations (718) can reduce 329 to:
% 267.89/208.99 | (366) $false
% 267.89/208.99 |
% 267.89/208.99 |-The branch is then unsatisfiable
% 267.89/208.99 |-Branch two:
% 267.89/208.99 | (500) ~ (all_0_27_27 = e2)
% 267.89/208.99 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 267.89/208.99 |
% 267.89/208.99 | Equations (543) can reduce 500 to:
% 267.89/208.99 | (1002) ~ (e2 = e1)
% 267.89/208.99 |
% 267.89/208.99 | Simplifying 1002 yields:
% 267.89/208.99 | (329) ~ (e2 = e1)
% 267.89/208.99 |
% 267.89/208.99 +-Applying beta-rule and splitting (15439), into two cases.
% 267.89/208.99 |-Branch one:
% 267.89/208.99 | (917) all_0_22_22 = e2
% 267.89/208.99 |
% 267.89/209.00 +-Applying beta-rule and splitting (24663), into two cases.
% 267.89/209.00 |-Branch one:
% 267.89/209.00 | (25440) ~ (op(e4, all_0_22_22) = e4)
% 267.89/209.00 |
% 267.89/209.00 | From (917) and (25440) follows:
% 267.89/209.00 | (1463) ~ (op(e4, e2) = e4)
% 267.89/209.00 |
% 267.89/209.00 | Using (1462) and (1463) yields:
% 267.89/209.00 | (821) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (25443) op(e4, all_0_22_22) = e4
% 267.89/209.00 | (691) e4 = e3
% 267.89/209.00 |
% 267.89/209.00 | Equations (691) can reduce 277 to:
% 267.89/209.00 | (366) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (493) ~ (all_0_22_22 = e2)
% 267.89/209.00 | (16070) all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 267.89/209.00 |
% 267.89/209.00 +-Applying beta-rule and splitting (16070), into two cases.
% 267.89/209.00 |-Branch one:
% 267.89/209.00 | (443) all_0_27_27 = e2
% 267.89/209.00 |
% 267.89/209.00 | Combining equations (543,443) yields a new equation:
% 267.89/209.00 | (718) e2 = e1
% 267.89/209.00 |
% 267.89/209.00 | Equations (718) can reduce 329 to:
% 267.89/209.00 | (366) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (500) ~ (all_0_27_27 = e2)
% 267.89/209.00 | (16095) all_0_32_32 = e2 | all_0_37_37 = e2
% 267.89/209.00 |
% 267.89/209.00 +-Applying beta-rule and splitting (16095), into two cases.
% 267.89/209.00 |-Branch one:
% 267.89/209.00 | (1101) all_0_32_32 = e2
% 267.89/209.00 |
% 267.89/209.00 | Equations (1101) can reduce 508 to:
% 267.89/209.00 | (366) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (508) ~ (all_0_32_32 = e2)
% 267.89/209.00 | (805) all_0_37_37 = e2
% 267.89/209.00 |
% 267.89/209.00 | Equations (805) can reduce 515 to:
% 267.89/209.00 | (366) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (742) ~ (all_0_35_35 = e2)
% 267.89/209.00 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.89/209.00 |
% 267.89/209.00 +-Applying beta-rule and splitting (800), into two cases.
% 267.89/209.00 |-Branch one:
% 267.89/209.00 | (801) all_0_36_36 = e2
% 267.89/209.00 |
% 267.89/209.00 | Equations (801) can reduce 756 to:
% 267.89/209.00 | (366) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (756) ~ (all_0_36_36 = e2)
% 267.89/209.00 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 267.89/209.00 |
% 267.89/209.00 +-Applying beta-rule and splitting (804), into two cases.
% 267.89/209.00 |-Branch one:
% 267.89/209.00 | (805) all_0_37_37 = e2
% 267.89/209.00 |
% 267.89/209.00 | Equations (805) can reduce 202 to:
% 267.89/209.00 | (493) ~ (all_0_22_22 = e2)
% 267.89/209.00 |
% 267.89/209.00 | Equations (805) can reduce 121 to:
% 267.89/209.00 | (742) ~ (all_0_35_35 = e2)
% 267.89/209.00 |
% 267.89/209.00 +-Applying beta-rule and splitting (232), into two cases.
% 267.89/209.00 |-Branch one:
% 267.89/209.00 | (1970) all_0_17_17 = e3
% 267.89/209.00 |
% 267.89/209.00 | Combining equations (865,1970) yields a new equation:
% 267.89/209.00 | (690) e4 = e3
% 267.89/209.00 |
% 267.89/209.00 | Simplifying 690 yields:
% 267.89/209.00 | (691) e4 = e3
% 267.89/209.00 |
% 267.89/209.00 | Equations (691) can reduce 277 to:
% 267.89/209.00 | (366) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (558) ~ (all_0_17_17 = e3)
% 267.89/209.00 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.89/209.00 |
% 267.89/209.00 +-Applying beta-rule and splitting (153), into two cases.
% 267.89/209.00 |-Branch one:
% 267.89/209.00 | (831) all_0_22_22 = e4
% 267.89/209.00 |
% 267.89/209.00 | Equations (831) can reduce 576 to:
% 267.89/209.00 | (366) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (576) ~ (all_0_22_22 = e4)
% 267.89/209.00 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 267.89/209.00 |
% 267.89/209.00 +-Applying beta-rule and splitting (1973), into two cases.
% 267.89/209.00 |-Branch one:
% 267.89/209.00 | (857) all_0_22_22 = e3
% 267.89/209.00 |
% 267.89/209.00 | Equations (857) can reduce 774 to:
% 267.89/209.00 | (366) $false
% 267.89/209.00 |
% 267.89/209.00 |-The branch is then unsatisfiable
% 267.89/209.00 |-Branch two:
% 267.89/209.00 | (774) ~ (all_0_22_22 = e3)
% 267.89/209.00 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 267.89/209.00 |
% 267.89/209.00 +-Applying beta-rule and splitting (3115), into two cases.
% 267.89/209.00 |-Branch one:
% 267.95/209.00 | (439) all_0_27_27 = e3
% 267.95/209.00 |
% 267.95/209.00 | Combining equations (543,439) yields a new equation:
% 267.95/209.00 | (706) e3 = e1
% 267.95/209.00 |
% 267.95/209.00 | Equations (706) can reduce 318 to:
% 267.95/209.00 | (366) $false
% 267.95/209.00 |
% 267.95/209.00 |-The branch is then unsatisfiable
% 267.95/209.00 |-Branch two:
% 267.95/209.00 | (400) ~ (all_0_27_27 = e3)
% 267.95/209.00 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 267.95/209.00 |
% 267.95/209.00 +-Applying beta-rule and splitting (3120), into two cases.
% 267.95/209.00 |-Branch one:
% 267.95/209.00 | (772) all_0_32_32 = e3
% 267.95/209.00 |
% 267.95/209.00 | Equations (772) can reduce 63 to:
% 267.95/209.00 | (774) ~ (all_0_22_22 = e3)
% 267.95/209.00 |
% 267.95/209.00 +-Applying beta-rule and splitting (834), into two cases.
% 267.95/209.00 |-Branch one:
% 267.95/209.00 | (857) all_0_22_22 = e3
% 267.95/209.00 |
% 267.95/209.00 | Equations (857) can reduce 774 to:
% 267.95/209.00 | (366) $false
% 267.95/209.00 |
% 267.95/209.00 |-The branch is then unsatisfiable
% 267.95/209.00 |-Branch two:
% 267.95/209.00 | (774) ~ (all_0_22_22 = e3)
% 267.95/209.00 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 267.95/209.00 |
% 267.95/209.00 +-Applying beta-rule and splitting (860), into two cases.
% 267.95/209.00 |-Branch one:
% 267.95/209.00 | (917) all_0_22_22 = e2
% 267.95/209.00 |
% 267.95/209.00 | Equations (917) can reduce 493 to:
% 267.95/209.00 | (366) $false
% 267.95/209.00 |
% 267.95/209.00 |-The branch is then unsatisfiable
% 267.95/209.00 |-Branch two:
% 267.95/209.00 | (493) ~ (all_0_22_22 = e2)
% 267.95/209.00 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 267.95/209.00 |
% 267.95/209.00 +-Applying beta-rule and splitting (222), into two cases.
% 267.95/209.00 |-Branch one:
% 267.95/209.00 | (823) all_0_17_17 = e0
% 267.95/209.00 |
% 267.95/209.00 | Combining equations (865,823) yields a new equation:
% 267.95/209.00 | (842) e4 = e0
% 267.95/209.00 |
% 267.95/209.00 | Simplifying 842 yields:
% 267.95/209.00 | (490) e4 = e0
% 267.95/209.00 |
% 267.95/209.00 | Equations (490) can reduce 287 to:
% 267.95/209.00 | (366) $false
% 267.95/209.00 |
% 267.95/209.00 |-The branch is then unsatisfiable
% 267.95/209.00 |-Branch two:
% 267.95/209.00 | (2422) ~ (all_0_17_17 = e0)
% 267.95/209.00 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 267.95/209.00 |
% 267.95/209.00 +-Applying beta-rule and splitting (2515), into two cases.
% 267.95/209.00 |-Branch one:
% 267.95/209.00 | (847) all_0_22_22 = e0
% 267.95/209.00 |
% 267.95/209.00 | From (847) and (5602) follows:
% 267.95/209.00 | (8911) op(e0, e4) = e2
% 267.95/209.00 |
% 267.95/209.00 +-Applying beta-rule and splitting (8732), into two cases.
% 267.95/209.00 |-Branch one:
% 267.95/209.00 | (8912) ~ (op(e0, e4) = e2)
% 267.95/209.00 |
% 267.95/209.00 | Using (8911) and (8912) yields:
% 267.95/209.00 | (821) $false
% 267.95/209.00 |
% 267.95/209.00 |-The branch is then unsatisfiable
% 267.95/209.00 |-Branch two:
% 267.95/209.01 | (8911) op(e0, e4) = e2
% 267.95/209.01 | (797) all_0_35_35 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (797) can reduce 742 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (826) ~ (all_0_22_22 = e0)
% 267.95/209.01 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (920), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (999) all_0_22_22 = e1
% 267.95/209.01 |
% 267.95/209.01 | Equations (999) can reduce 1018 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (1018) ~ (all_0_22_22 = e1)
% 267.95/209.01 | (847) all_0_22_22 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (847) can reduce 826 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (1089) ~ (all_0_32_32 = e3)
% 267.95/209.01 | (1073) all_0_37_37 = e3
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (805,1073) yields a new equation:
% 267.95/209.01 | (764) e3 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (764) can reduce 56 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (515) ~ (all_0_37_37 = e2)
% 267.95/209.01 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (203), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (1980) all_0_17_17 = e2
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (865,1980) yields a new equation:
% 267.95/209.01 | (1111) e4 = e2
% 267.95/209.01 |
% 267.95/209.01 | Simplifying 1111 yields:
% 267.95/209.01 | (539) e4 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (539) can reduce 19 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (459) ~ (all_0_17_17 = e2)
% 267.95/209.01 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (865) can reduce 459 to:
% 267.95/209.01 | (19) ~ (e4 = e2)
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (808), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (809) all_0_38_38 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (809) can reduce 1084 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (1084) ~ (all_0_38_38 = e2)
% 267.95/209.01 | (373) all_0_39_39 = e2
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (365,373) yields a new equation:
% 267.95/209.01 | (1111) e4 = e2
% 267.95/209.01 |
% 267.95/209.01 | Simplifying 1111 yields:
% 267.95/209.01 | (539) e4 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (539) can reduce 19 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (578) ~ (all_0_23_23 = e4)
% 267.95/209.01 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (1518), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (892) all_0_28_28 = e4
% 267.95/209.01 |
% 267.95/209.01 | Equations (892) can reduce 890 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (890) ~ (all_0_28_28 = e4)
% 267.95/209.01 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (1522), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (406) all_0_33_33 = e4
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (406,414) yields a new equation:
% 267.95/209.01 | (1111) e4 = e2
% 267.95/209.01 |
% 267.95/209.01 | Simplifying 1111 yields:
% 267.95/209.01 | (539) e4 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (539) can reduce 19 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (405) ~ (all_0_33_33 = e4)
% 267.95/209.01 | (1165) all_0_38_38 = e4
% 267.95/209.01 |
% 267.95/209.01 | Equations (1165) can reduce 1143 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (869) ~ (all_0_17_17 = e4)
% 267.95/209.01 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (1148), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (831) all_0_22_22 = e4
% 267.95/209.01 |
% 267.95/209.01 | From (831) and (5602) follows:
% 267.95/209.01 | (1335) op(e4, e4) = e2
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (203), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (1980) all_0_17_17 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (1980) can reduce 459 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (459) ~ (all_0_17_17 = e2)
% 267.95/209.01 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (15439), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (917) all_0_22_22 = e2
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (831,917) yields a new equation:
% 267.95/209.01 | (1111) e4 = e2
% 267.95/209.01 |
% 267.95/209.01 | Simplifying 1111 yields:
% 267.95/209.01 | (539) e4 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (539) can reduce 19 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (493) ~ (all_0_22_22 = e2)
% 267.95/209.01 | (16070) all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (16070), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (443) all_0_27_27 = e2
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (543,443) yields a new equation:
% 267.95/209.01 | (718) e2 = e1
% 267.95/209.01 |
% 267.95/209.01 | Equations (718) can reduce 329 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (500) ~ (all_0_27_27 = e2)
% 267.95/209.01 | (16095) all_0_32_32 = e2 | all_0_37_37 = e2
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (16095), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (1101) all_0_32_32 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (1101) can reduce 508 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (508) ~ (all_0_32_32 = e2)
% 267.95/209.01 | (805) all_0_37_37 = e2
% 267.95/209.01 |
% 267.95/209.01 | Equations (805) can reduce 336 to:
% 267.95/209.01 | (508) ~ (all_0_32_32 = e2)
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (222), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (823) all_0_17_17 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (823) can reduce 2422 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (2422) ~ (all_0_17_17 = e0)
% 267.95/209.01 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (2515), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (847) all_0_22_22 = e0
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (831,847) yields a new equation:
% 267.95/209.01 | (842) e4 = e0
% 267.95/209.01 |
% 267.95/209.01 | Simplifying 842 yields:
% 267.95/209.01 | (490) e4 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (490) can reduce 287 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (826) ~ (all_0_22_22 = e0)
% 267.95/209.01 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (3101), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (546) all_0_27_27 = e0
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (543,546) yields a new equation:
% 267.95/209.01 | (960) e1 = e0
% 267.95/209.01 |
% 267.95/209.01 | Simplifying 960 yields:
% 267.95/209.01 | (961) e1 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (961) can reduce 37 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (434) ~ (all_0_27_27 = e0)
% 267.95/209.01 | (3107) all_0_32_32 = e0 | all_0_37_37 = e0
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (3107), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (1626) all_0_32_32 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (1626) can reduce 508 to:
% 267.95/209.01 | (393) ~ (e2 = e0)
% 267.95/209.01 |
% 267.95/209.01 | Simplifying 393 yields:
% 267.95/209.01 | (347) ~ (e2 = e0)
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (279), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (873) all_0_16_16 = e0
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (873,697) yields a new equation:
% 267.95/209.01 | (551) e2 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (551) can reduce 347 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (824) ~ (all_0_16_16 = e0)
% 267.95/209.01 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (697) can reduce 824 to:
% 267.95/209.01 | (347) ~ (e2 = e0)
% 267.95/209.01 |
% 267.95/209.01 +-Applying beta-rule and splitting (25576), into two cases.
% 267.95/209.01 |-Branch one:
% 267.95/209.01 | (1336) ~ (op(e4, e4) = e2)
% 267.95/209.01 |
% 267.95/209.01 | Using (1335) and (1336) yields:
% 267.95/209.01 | (821) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (1335) op(e4, e4) = e2
% 267.95/209.01 | (551) e2 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (551) can reduce 347 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.01 |-Branch two:
% 267.95/209.01 | (1946) ~ (all_0_32_32 = e0)
% 267.95/209.01 | (3111) all_0_37_37 = e0
% 267.95/209.01 |
% 267.95/209.01 | Combining equations (805,3111) yields a new equation:
% 267.95/209.01 | (836) e2 = e0
% 267.95/209.01 |
% 267.95/209.01 | Simplifying 836 yields:
% 267.95/209.01 | (551) e2 = e0
% 267.95/209.01 |
% 267.95/209.01 | Equations (551) can reduce 347 to:
% 267.95/209.01 | (366) $false
% 267.95/209.01 |
% 267.95/209.01 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (576) ~ (all_0_22_22 = e4)
% 267.95/209.02 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (1152), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (435) all_0_27_27 = e4
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (543,435) yields a new equation:
% 267.95/209.02 | (480) e4 = e1
% 267.95/209.02 |
% 267.95/209.02 | Equations (480) can reduce 65 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (404) ~ (all_0_27_27 = e4)
% 267.95/209.02 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (1222), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1229) all_0_32_32 = e4
% 267.95/209.02 |
% 267.95/209.02 | Equations (1229) can reduce 727 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (727) ~ (all_0_32_32 = e4)
% 267.95/209.02 | (1232) all_0_37_37 = e4
% 267.95/209.02 |
% 267.95/209.02 | Equations (1232) can reduce 2658 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (664) ~ (all_0_16_16 = e2)
% 267.95/209.02 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (700), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (522) all_0_21_21 = e2
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (522,453) yields a new equation:
% 267.95/209.02 | (764) e3 = e2
% 267.95/209.02 |
% 267.95/209.02 | Equations (764) can reduce 56 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (361) ~ (all_0_21_21 = e2)
% 267.95/209.02 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (2289), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (2380) all_0_26_26 = e2
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (1237,2380) yields a new equation:
% 267.95/209.02 | (1111) e4 = e2
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 1111 yields:
% 267.95/209.02 | (539) e4 = e2
% 267.95/209.02 |
% 267.95/209.02 | Equations (539) can reduce 19 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (647) ~ (all_0_26_26 = e2)
% 267.95/209.02 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (704), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1287) all_0_16_16 = e3
% 267.95/209.02 |
% 267.95/209.02 | Equations (1287) can reduce 458 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (458) ~ (all_0_16_16 = e3)
% 267.95/209.02 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (1290), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (697) all_0_16_16 = e2
% 267.95/209.02 |
% 267.95/209.02 | Equations (697) can reduce 664 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (664) ~ (all_0_16_16 = e2)
% 267.95/209.02 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (2383), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (751) all_0_31_31 = e2
% 267.95/209.02 |
% 267.95/209.02 | Equations (751) can reduce 1099 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (1099) ~ (all_0_31_31 = e2)
% 267.95/209.02 | (801) all_0_36_36 = e2
% 267.95/209.02 |
% 267.95/209.02 | Equations (801) can reduce 64 to:
% 267.95/209.02 | (664) ~ (all_0_16_16 = e2)
% 267.95/209.02 |
% 267.95/209.02 | Equations (801) can reduce 183 to:
% 267.95/209.02 | (654) ~ (all_0_37_37 = e2)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 654 yields:
% 267.95/209.02 | (515) ~ (all_0_37_37 = e2)
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (1377), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (921) all_0_16_16 = e1
% 267.95/209.02 |
% 267.95/209.02 | Equations (921) can reduce 9 to:
% 267.95/209.02 | (2559) ~ (all_0_18_18 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 2559 yields:
% 267.95/209.02 | (419) ~ (all_0_18_18 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Equations (921) can reduce 10 to:
% 267.95/209.02 | (1613) ~ (all_0_31_31 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 1613 yields:
% 267.95/209.02 | (423) ~ (all_0_31_31 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Equations (921) can reduce 573 to:
% 267.95/209.02 | (477) ~ (e4 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 477 yields:
% 267.95/209.02 | (65) ~ (e4 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Equations (921) can reduce 664 to:
% 267.95/209.02 | (1002) ~ (e2 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 1002 yields:
% 267.95/209.02 | (329) ~ (e2 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Equations (921) can reduce 824 to:
% 267.95/209.02 | (37) ~ (e1 = e0)
% 267.95/209.02 |
% 267.95/209.02 | From (921) and (124) follows:
% 267.95/209.02 | (29904) op(e1, all_0_20_20) = e3
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (279), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (873) all_0_16_16 = e0
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (873,921) yields a new equation:
% 267.95/209.02 | (961) e1 = e0
% 267.95/209.02 |
% 267.95/209.02 | Equations (961) can reduce 37 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (824) ~ (all_0_16_16 = e0)
% 267.95/209.02 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (876), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (529) all_0_21_21 = e0
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (453,529) yields a new equation:
% 267.95/209.02 | (979) e3 = e0
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 979 yields:
% 267.95/209.02 | (980) e3 = e0
% 267.95/209.02 |
% 267.95/209.02 | Equations (980) can reduce 88 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (398) ~ (all_0_21_21 = e0)
% 267.95/209.02 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (882), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (883) all_0_26_26 = e0
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (1237,883) yields a new equation:
% 267.95/209.02 | (842) e4 = e0
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 842 yields:
% 267.95/209.02 | (490) e4 = e0
% 267.95/209.02 |
% 267.95/209.02 | Equations (490) can reduce 287 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (1058) ~ (all_0_26_26 = e0)
% 267.95/209.02 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (1059), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1060) all_0_31_31 = e0
% 267.95/209.02 |
% 267.95/209.02 | Equations (1060) can reduce 247 to:
% 267.95/209.02 | (2961) ~ (all_0_32_32 = e0)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 2961 yields:
% 267.95/209.02 | (1946) ~ (all_0_32_32 = e0)
% 267.95/209.02 |
% 267.95/209.02 | Equations (1060) can reduce 423 to:
% 267.95/209.02 | (395) ~ (e1 = e0)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 395 yields:
% 267.95/209.02 | (37) ~ (e1 = e0)
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (159), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (787) all_0_30_30 = e1
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (768,787) yields a new equation:
% 267.95/209.02 | (955) e4 = e1
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 955 yields:
% 267.95/209.02 | (480) e4 = e1
% 267.95/209.02 |
% 267.95/209.02 | Equations (480) can reduce 65 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (422) ~ (all_0_30_30 = e1)
% 267.95/209.02 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (5570), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1010) all_0_31_31 = e1
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (1060,1010) yields a new equation:
% 267.95/209.02 | (961) e1 = e0
% 267.95/209.02 |
% 267.95/209.02 | Equations (961) can reduce 37 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (423) ~ (all_0_31_31 = e1)
% 267.95/209.02 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (261), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1229) all_0_32_32 = e4
% 267.95/209.02 |
% 267.95/209.02 | Equations (1229) can reduce 727 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (727) ~ (all_0_32_32 = e4)
% 267.95/209.02 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (1506), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (772) all_0_32_32 = e3
% 267.95/209.02 |
% 267.95/209.02 | Equations (772) can reduce 63 to:
% 267.95/209.02 | (774) ~ (all_0_22_22 = e3)
% 267.95/209.02 |
% 267.95/209.02 | Equations (772) can reduce 199 to:
% 267.95/209.02 | (2981) ~ (all_0_34_34 = e3)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 2981 yields:
% 267.95/209.02 | (1031) ~ (all_0_34_34 = e3)
% 267.95/209.02 |
% 267.95/209.02 | Equations (772) can reduce 336 to:
% 267.95/209.02 | (776) ~ (all_0_37_37 = e3)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 776 yields:
% 267.95/209.02 | (777) ~ (all_0_37_37 = e3)
% 267.95/209.02 |
% 267.95/209.02 | Equations (772) can reduce 508 to:
% 267.95/209.02 | (56) ~ (e3 = e2)
% 267.95/209.02 |
% 267.95/209.02 | Equations (772) can reduce 424 to:
% 267.95/209.02 | (318) ~ (e3 = e1)
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (271), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1232) all_0_37_37 = e4
% 267.95/209.02 |
% 267.95/209.02 | Equations (1232) can reduce 2658 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (2658) ~ (all_0_37_37 = e4)
% 267.95/209.02 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (5940), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1587) all_0_32_32 = e1
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (772,1587) yields a new equation:
% 267.95/209.02 | (933) e3 = e1
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 933 yields:
% 267.95/209.02 | (706) e3 = e1
% 267.95/209.02 |
% 267.95/209.02 | Equations (706) can reduce 318 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (424) ~ (all_0_32_32 = e1)
% 267.95/209.02 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (5953), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (418) all_0_33_33 = e1
% 267.95/209.02 |
% 267.95/209.02 | Combining equations (418,414) yields a new equation:
% 267.95/209.02 | (718) e2 = e1
% 267.95/209.02 |
% 267.95/209.02 | Equations (718) can reduce 329 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (507) ~ (all_0_33_33 = e1)
% 267.95/209.02 | (954) all_0_34_34 = e1
% 267.95/209.02 |
% 267.95/209.02 | Equations (954) can reduce 1031 to:
% 267.95/209.02 | (429) ~ (e3 = e1)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 429 yields:
% 267.95/209.02 | (318) ~ (e3 = e1)
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (3872), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1073) all_0_37_37 = e3
% 267.95/209.02 |
% 267.95/209.02 | Equations (1073) can reduce 777 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (777) ~ (all_0_37_37 = e3)
% 267.95/209.02 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (3886), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (805) all_0_37_37 = e2
% 267.95/209.02 |
% 267.95/209.02 | Equations (805) can reduce 515 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (515) ~ (all_0_37_37 = e2)
% 267.95/209.02 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 267.95/209.02 |
% 267.95/209.02 +-Applying beta-rule and splitting (3890), into two cases.
% 267.95/209.02 |-Branch one:
% 267.95/209.02 | (1590) all_0_37_37 = e1
% 267.95/209.02 |
% 267.95/209.02 | Equations (1590) can reduce 2562 to:
% 267.95/209.02 | (366) $false
% 267.95/209.02 |
% 267.95/209.02 |-The branch is then unsatisfiable
% 267.95/209.02 |-Branch two:
% 267.95/209.02 | (2562) ~ (all_0_37_37 = e1)
% 267.95/209.02 | (3111) all_0_37_37 = e0
% 267.95/209.02 |
% 267.95/209.02 | Equations (3111) can reduce 202 to:
% 267.95/209.02 | (826) ~ (all_0_22_22 = e0)
% 267.95/209.02 |
% 267.95/209.02 | Equations (3111) can reduce 2562 to:
% 267.95/209.02 | (395) ~ (e1 = e0)
% 267.95/209.02 |
% 267.95/209.02 | Simplifying 395 yields:
% 267.95/209.02 | (37) ~ (e1 = e0)
% 267.95/209.02 |
% 267.95/209.02 | Instantiating formula (97) with e1, e1, e3, e2 and discharging atoms op(e1, e1) = e2, yields:
% 267.95/209.03 | (29982) e3 = e2 | ~ (op(e1, e1) = e3)
% 267.95/209.03 |
% 267.95/209.03 +-Applying beta-rule and splitting (308), into two cases.
% 267.95/209.03 |-Branch one:
% 267.95/209.03 | (1175) all_0_20_20 = e1
% 267.95/209.03 |
% 267.95/209.03 | From (1175) and (29904) follows:
% 267.95/209.03 | (29984) op(e1, e1) = e3
% 267.95/209.03 |
% 267.95/209.03 +-Applying beta-rule and splitting (29982), into two cases.
% 267.95/209.03 |-Branch one:
% 267.95/209.03 | (29985) ~ (op(e1, e1) = e3)
% 267.95/209.03 |
% 267.95/209.03 | Using (29984) and (29985) yields:
% 267.95/209.03 | (821) $false
% 267.95/209.03 |
% 267.95/209.03 |-The branch is then unsatisfiable
% 267.95/209.03 |-Branch two:
% 268.01/209.03 | (29984) op(e1, e1) = e3
% 268.01/209.03 | (764) e3 = e2
% 268.01/209.03 |
% 268.01/209.03 | Equations (764) can reduce 56 to:
% 268.01/209.03 | (366) $false
% 268.01/209.03 |
% 268.01/209.03 |-The branch is then unsatisfiable
% 268.01/209.03 |-Branch two:
% 268.01/209.03 | (1409) ~ (all_0_20_20 = e1)
% 268.01/209.03 | (4682) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (2301), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (903) all_0_20_20 = e3
% 268.01/209.03 |
% 268.01/209.03 | Equations (903) can reduce 564 to:
% 268.01/209.03 | (366) $false
% 268.01/209.03 |
% 268.01/209.03 |-The branch is then unsatisfiable
% 268.01/209.03 |-Branch two:
% 268.01/209.03 | (564) ~ (all_0_20_20 = e3)
% 268.01/209.03 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (29), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (476) all_0_15_15 = e1
% 268.01/209.03 |
% 268.01/209.03 | Combining equations (483,476) yields a new equation:
% 268.01/209.03 | (961) e1 = e0
% 268.01/209.03 |
% 268.01/209.03 | Equations (961) can reduce 37 to:
% 268.01/209.03 | (366) $false
% 268.01/209.03 |
% 268.01/209.03 |-The branch is then unsatisfiable
% 268.01/209.03 |-Branch two:
% 268.01/209.03 | (482) ~ (all_0_15_15 = e1)
% 268.01/209.03 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (937), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (1175) all_0_20_20 = e1
% 268.01/209.03 |
% 268.01/209.03 | Equations (1175) can reduce 1409 to:
% 268.01/209.03 | (366) $false
% 268.01/209.03 |
% 268.01/209.03 |-The branch is then unsatisfiable
% 268.01/209.03 |-Branch two:
% 268.01/209.03 | (1409) ~ (all_0_20_20 = e1)
% 268.01/209.03 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (2305), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (736) all_0_20_20 = e2
% 268.01/209.03 |
% 268.01/209.03 | Equations (736) can reduce 211 to:
% 268.01/209.03 | (737) ~ (all_0_22_22 = e2)
% 268.01/209.03 |
% 268.01/209.03 | Simplifying 737 yields:
% 268.01/209.03 | (493) ~ (all_0_22_22 = e2)
% 268.01/209.03 |
% 268.01/209.03 | Equations (736) can reduce 249 to:
% 268.01/209.03 | (741) ~ (all_0_35_35 = e2)
% 268.01/209.03 |
% 268.01/209.03 | Simplifying 741 yields:
% 268.01/209.03 | (742) ~ (all_0_35_35 = e2)
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (153), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (831) all_0_22_22 = e4
% 268.01/209.03 |
% 268.01/209.03 | Equations (831) can reduce 184 to:
% 268.01/209.03 | (869) ~ (all_0_17_17 = e4)
% 268.01/209.03 |
% 268.01/209.03 | Equations (831) can reduce 1018 to:
% 268.01/209.03 | (65) ~ (e4 = e1)
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (36), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (887) all_0_18_18 = e4
% 268.01/209.03 |
% 268.01/209.03 | Equations (887) can reduce 419 to:
% 268.01/209.03 | (65) ~ (e4 = e1)
% 268.01/209.03 |
% 268.01/209.03 | From (887) and (26221) follows:
% 268.01/209.03 | (5450) op(e4, e4) = e1
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (1656), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (950) all_0_25_25 = e1
% 268.01/209.03 |
% 268.01/209.03 | Equations (950) can reduce 946 to:
% 268.01/209.03 | (366) $false
% 268.01/209.03 |
% 268.01/209.03 |-The branch is then unsatisfiable
% 268.01/209.03 |-Branch two:
% 268.01/209.03 | (946) ~ (all_0_25_25 = e1)
% 268.01/209.03 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (4682), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (526) all_0_21_21 = e1
% 268.01/209.03 |
% 268.01/209.03 | Combining equations (526,453) yields a new equation:
% 268.01/209.03 | (706) e3 = e1
% 268.01/209.03 |
% 268.01/209.03 | Equations (706) can reduce 318 to:
% 268.01/209.03 | (366) $false
% 268.01/209.03 |
% 268.01/209.03 |-The branch is then unsatisfiable
% 268.01/209.03 |-Branch two:
% 268.01/209.03 | (363) ~ (all_0_21_21 = e1)
% 268.01/209.03 | (4688) all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (4688), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (999) all_0_22_22 = e1
% 268.01/209.03 |
% 268.01/209.03 | Combining equations (831,999) yields a new equation:
% 268.01/209.03 | (955) e4 = e1
% 268.01/209.03 |
% 268.01/209.03 | Simplifying 955 yields:
% 268.01/209.03 | (480) e4 = e1
% 268.01/209.03 |
% 268.01/209.03 | Equations (480) can reduce 65 to:
% 268.01/209.03 | (366) $false
% 268.01/209.03 |
% 268.01/209.03 |-The branch is then unsatisfiable
% 268.01/209.03 |-Branch two:
% 268.01/209.03 | (1018) ~ (all_0_22_22 = e1)
% 268.01/209.03 | (5033) all_0_23_23 = e1 | all_0_24_24 = e1
% 268.01/209.03 |
% 268.01/209.03 | Equations (831) can reduce 1018 to:
% 268.01/209.03 | (65) ~ (e4 = e1)
% 268.01/209.03 |
% 268.01/209.03 +-Applying beta-rule and splitting (1676), into two cases.
% 268.01/209.03 |-Branch one:
% 268.01/209.03 | (787) all_0_30_30 = e1
% 268.01/209.03 |
% 268.01/209.03 | Combining equations (768,787) yields a new equation:
% 268.01/209.03 | (955) e4 = e1
% 268.01/209.03 |
% 268.01/209.03 | Simplifying 955 yields:
% 268.01/209.03 | (480) e4 = e1
% 268.01/209.03 |
% 268.01/209.03 | Equations (480) can reduce 65 to:
% 268.01/209.03 | (366) $false
% 268.01/209.03 |
% 268.01/209.03 |-The branch is then unsatisfiable
% 268.01/209.03 |-Branch two:
% 268.01/209.03 | (422) ~ (all_0_30_30 = e1)
% 268.01/209.03 | (1196) all_0_35_35 = e1
% 268.01/209.03 |
% 268.01/209.03 | Equations (1196) can reduce 742 to:
% 268.01/209.03 | (1002) ~ (e2 = e1)
% 268.01/209.03 |
% 268.01/209.04 | Simplifying 1002 yields:
% 268.01/209.04 | (329) ~ (e2 = e1)
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (29611), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (30040) ~ (op(all_0_22_22, e4) = e1)
% 268.01/209.04 |
% 268.01/209.04 | From (831) and (30040) follows:
% 268.01/209.04 | (16309) ~ (op(e4, e4) = e1)
% 268.01/209.04 |
% 268.01/209.04 | Using (5450) and (16309) yields:
% 268.01/209.04 | (821) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (30043) op(all_0_22_22, e4) = e1
% 268.01/209.04 | (718) e2 = e1
% 268.01/209.04 |
% 268.01/209.04 | Equations (718) can reduce 329 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (1046) ~ (all_0_18_18 = e4)
% 268.01/209.04 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (694), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (701) all_0_16_16 = e4
% 268.01/209.04 |
% 268.01/209.04 | Combining equations (921,701) yields a new equation:
% 268.01/209.04 | (480) e4 = e1
% 268.01/209.04 |
% 268.01/209.04 | Equations (480) can reduce 65 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (573) ~ (all_0_16_16 = e4)
% 268.01/209.04 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (864), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (865) all_0_17_17 = e4
% 268.01/209.04 |
% 268.01/209.04 | Equations (865) can reduce 869 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (869) ~ (all_0_17_17 = e4)
% 268.01/209.04 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (870), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (887) all_0_18_18 = e4
% 268.01/209.04 |
% 268.01/209.04 | Equations (887) can reduce 1046 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (1046) ~ (all_0_18_18 = e4)
% 268.01/209.04 | (711) all_0_19_19 = e4
% 268.01/209.04 |
% 268.01/209.04 | Equations (711) can reduce 714 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (576) ~ (all_0_22_22 = e4)
% 268.01/209.04 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (834), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (857) all_0_22_22 = e3
% 268.01/209.04 |
% 268.01/209.04 | Equations (857) can reduce 774 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (774) ~ (all_0_22_22 = e3)
% 268.01/209.04 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (860), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (917) all_0_22_22 = e2
% 268.01/209.04 |
% 268.01/209.04 | Equations (917) can reduce 493 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (493) ~ (all_0_22_22 = e2)
% 268.01/209.04 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (920), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (999) all_0_22_22 = e1
% 268.01/209.04 |
% 268.01/209.04 | Equations (999) can reduce 1018 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (1018) ~ (all_0_22_22 = e1)
% 268.01/209.04 | (847) all_0_22_22 = e0
% 268.01/209.04 |
% 268.01/209.04 | Equations (847) can reduce 826 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (1114) ~ (all_0_20_20 = e2)
% 268.01/209.04 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (2309), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (1175) all_0_20_20 = e1
% 268.01/209.04 |
% 268.01/209.04 | Equations (1175) can reduce 1409 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (1409) ~ (all_0_20_20 = e1)
% 268.01/209.04 | (835) all_0_20_20 = e0
% 268.01/209.04 |
% 268.01/209.04 | Equations (835) can reduce 839 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (1089) ~ (all_0_32_32 = e3)
% 268.01/209.04 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (1618), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (1101) all_0_32_32 = e2
% 268.01/209.04 |
% 268.01/209.04 | Equations (1101) can reduce 508 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (508) ~ (all_0_32_32 = e2)
% 268.01/209.04 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (5940), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (1587) all_0_32_32 = e1
% 268.01/209.04 |
% 268.01/209.04 | Equations (1587) can reduce 424 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (424) ~ (all_0_32_32 = e1)
% 268.01/209.04 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 268.01/209.04 |
% 268.01/209.04 +-Applying beta-rule and splitting (1622), into two cases.
% 268.01/209.04 |-Branch one:
% 268.01/209.04 | (1587) all_0_32_32 = e1
% 268.01/209.04 |
% 268.01/209.04 | Equations (1587) can reduce 424 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (424) ~ (all_0_32_32 = e1)
% 268.01/209.04 | (1626) all_0_32_32 = e0
% 268.01/209.04 |
% 268.01/209.04 | Equations (1626) can reduce 1946 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (1064) ~ (all_0_31_31 = e0)
% 268.01/209.04 | (1065) all_0_36_36 = e0
% 268.01/209.04 |
% 268.01/209.04 | Combining equations (1065,801) yields a new equation:
% 268.01/209.04 | (551) e2 = e0
% 268.01/209.04 |
% 268.01/209.04 | Equations (551) can reduce 347 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.04 | (985) ~ (all_0_16_16 = e1)
% 268.01/209.04 | (873) all_0_16_16 = e0
% 268.01/209.04 |
% 268.01/209.04 | Equations (873) can reduce 824 to:
% 268.01/209.04 | (366) $false
% 268.01/209.04 |
% 268.01/209.04 |-The branch is then unsatisfiable
% 268.01/209.04 |-Branch two:
% 268.01/209.05 | (23723) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 268.01/209.05 |
% 268.01/209.05 | Applying alpha-rule on (23723) yields:
% 268.01/209.05 | (20681) all_0_5_5 = all_0_32_32
% 268.01/209.05 | (23725) ( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 268.01/209.05 |
% 268.01/209.05 | Instantiating formula (97) with e4, e4, e2, e0 and discharging atoms op(e4, e4) = e0, yields:
% 268.01/209.05 | (25576) e2 = e0 | ~ (op(e4, e4) = e2)
% 268.01/209.05 |
% 268.01/209.05 | Instantiating formula (97) with e4, e3, e4, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 268.01/209.05 | (25618) all_0_16_16 = e4 | ~ (op(e4, e3) = e4)
% 268.01/209.05 |
% 268.01/209.05 | Instantiating formula (97) with e1, e4, e4, e1 and discharging atoms op(e1, e4) = e4, yields:
% 268.01/209.05 | (18410) e4 = e1 | ~ (op(e1, e4) = e1)
% 268.01/209.05 |
% 268.01/209.05 +-Applying beta-rule and splitting (340), into two cases.
% 268.01/209.05 |-Branch one:
% 268.01/209.05 | (697) all_0_16_16 = e2
% 268.01/209.05 |
% 268.01/209.05 | Equations (697) can reduce 169 to:
% 268.01/209.05 | (7439) ~ (all_0_17_17 = e2)
% 268.01/209.05 |
% 268.01/209.05 | Simplifying 7439 yields:
% 268.01/209.05 | (459) ~ (all_0_17_17 = e2)
% 268.01/209.05 |
% 268.01/209.05 | Equations (697) can reduce 9 to:
% 268.01/209.05 | (7441) ~ (all_0_18_18 = e2)
% 268.01/209.05 |
% 268.01/209.05 | Simplifying 7441 yields:
% 268.01/209.05 | (666) ~ (all_0_18_18 = e2)
% 268.01/209.05 |
% 268.01/209.05 | Equations (697) can reduce 824 to:
% 268.01/209.05 | (347) ~ (e2 = e0)
% 268.01/209.05 |
% 268.01/209.05 +-Applying beta-rule and splitting (261), into two cases.
% 268.01/209.05 |-Branch one:
% 268.01/209.05 | (1229) all_0_32_32 = e4
% 268.01/209.05 |
% 268.01/209.05 | Equations (1229) can reduce 727 to:
% 268.01/209.05 | (366) $false
% 268.01/209.05 |
% 268.01/209.05 |-The branch is then unsatisfiable
% 268.01/209.05 |-Branch two:
% 268.01/209.05 | (727) ~ (all_0_32_32 = e4)
% 268.01/209.05 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 268.01/209.05 |
% 268.01/209.05 +-Applying beta-rule and splitting (159), into two cases.
% 268.01/209.05 |-Branch one:
% 268.01/209.05 | (787) all_0_30_30 = e1
% 268.01/209.05 |
% 268.01/209.05 | Combining equations (787,768) yields a new equation:
% 268.01/209.05 | (480) e4 = e1
% 268.01/209.05 |
% 268.01/209.05 | Equations (480) can reduce 65 to:
% 268.01/209.05 | (366) $false
% 268.01/209.05 |
% 268.01/209.05 |-The branch is then unsatisfiable
% 268.01/209.05 |-Branch two:
% 268.01/209.05 | (422) ~ (all_0_30_30 = e1)
% 268.01/209.05 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 268.01/209.05 |
% 268.01/209.05 | Equations (768) can reduce 422 to:
% 268.01/209.05 | (65) ~ (e4 = e1)
% 268.01/209.05 |
% 268.01/209.05 +-Applying beta-rule and splitting (59), into two cases.
% 268.01/209.05 |-Branch one:
% 268.01/209.05 | (865) all_0_17_17 = e4
% 268.01/209.05 |
% 268.01/209.05 | Equations (865) can reduce 74 to:
% 268.01/209.05 | (1493) ~ (all_0_18_18 = e4)
% 268.01/209.05 |
% 268.01/209.05 | Simplifying 1493 yields:
% 268.01/209.05 | (1046) ~ (all_0_18_18 = e4)
% 268.01/209.05 |
% 268.01/209.05 | Equations (865) can reduce 459 to:
% 268.01/209.05 | (19) ~ (e4 = e2)
% 268.01/209.05 |
% 268.01/209.05 +-Applying beta-rule and splitting (36), into two cases.
% 268.01/209.05 |-Branch one:
% 268.01/209.05 | (887) all_0_18_18 = e4
% 268.01/209.05 |
% 268.01/209.05 | Equations (887) can reduce 1046 to:
% 268.01/209.05 | (366) $false
% 268.01/209.05 |
% 268.01/209.05 |-The branch is then unsatisfiable
% 268.01/209.05 |-Branch two:
% 268.01/209.05 | (1046) ~ (all_0_18_18 = e4)
% 268.01/209.05 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.01/209.05 |
% 268.01/209.05 +-Applying beta-rule and splitting (1051), into two cases.
% 268.01/209.05 |-Branch one:
% 268.01/209.05 | (1515) all_0_23_23 = e4
% 268.01/209.05 |
% 268.01/209.05 | Equations (1515) can reduce 110 to:
% 268.01/209.05 | (1046) ~ (all_0_18_18 = e4)
% 268.01/209.05 |
% 268.01/209.05 | Equations (1515) can reduce 810 to:
% 268.01/209.05 | (19) ~ (e4 = e2)
% 268.01/209.05 |
% 268.01/209.05 +-Applying beta-rule and splitting (259), into two cases.
% 268.01/209.05 |-Branch one:
% 268.01/209.05 | (1278) all_0_18_18 = e1
% 268.01/209.05 |
% 268.01/209.05 | Equations (1278) can reduce 1046 to:
% 268.01/209.05 | (477) ~ (e4 = e1)
% 268.01/209.05 |
% 268.01/209.05 | Simplifying 477 yields:
% 268.01/209.05 | (65) ~ (e4 = e1)
% 268.01/209.05 |
% 268.01/209.05 | From (1278) and (26221) follows:
% 268.01/209.05 | (18405) op(e1, e4) = e1
% 268.01/209.05 |
% 268.01/209.05 +-Applying beta-rule and splitting (18410), into two cases.
% 268.01/209.05 |-Branch one:
% 268.01/209.05 | (18411) ~ (op(e1, e4) = e1)
% 268.01/209.05 |
% 268.01/209.05 | Using (18405) and (18411) yields:
% 268.01/209.05 | (821) $false
% 268.01/209.05 |
% 268.01/209.05 |-The branch is then unsatisfiable
% 268.01/209.05 |-Branch two:
% 268.01/209.05 | (18405) op(e1, e4) = e1
% 268.01/209.05 | (480) e4 = e1
% 268.01/209.05 |
% 268.01/209.05 | Equations (480) can reduce 65 to:
% 268.01/209.05 | (366) $false
% 268.01/209.05 |
% 268.01/209.05 |-The branch is then unsatisfiable
% 268.01/209.05 |-Branch two:
% 268.01/209.05 | (419) ~ (all_0_18_18 = e1)
% 268.01/209.05 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (26), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (887) all_0_18_18 = e4
% 268.01/209.06 |
% 268.01/209.06 | Equations (887) can reduce 1046 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (1046) ~ (all_0_18_18 = e4)
% 268.01/209.06 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1047), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1134) all_0_18_18 = e3
% 268.01/209.06 |
% 268.01/209.06 | From (1134) and (2823) follows:
% 268.01/209.06 | (9409) op(e4, e3) = e4
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (25618), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (9410) ~ (op(e4, e3) = e4)
% 268.01/209.06 |
% 268.01/209.06 | Using (9409) and (9410) yields:
% 268.01/209.06 | (821) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (9409) op(e4, e3) = e4
% 268.01/209.06 | (701) all_0_16_16 = e4
% 268.01/209.06 |
% 268.01/209.06 | Combining equations (697,701) yields a new equation:
% 268.01/209.06 | (539) e4 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (539) can reduce 19 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (560) ~ (all_0_18_18 = e3)
% 268.01/209.06 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1270), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1274) all_0_18_18 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (1274) can reduce 666 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (666) ~ (all_0_18_18 = e2)
% 268.01/209.06 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1277), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1278) all_0_18_18 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (1278) can reduce 419 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (419) ~ (all_0_18_18 = e1)
% 268.01/209.06 | (1153) all_0_18_18 = e0
% 268.01/209.06 |
% 268.01/209.06 | Equations (1153) can reduce 1156 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (578) ~ (all_0_23_23 = e4)
% 268.01/209.06 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1518), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (892) all_0_28_28 = e4
% 268.01/209.06 |
% 268.01/209.06 | Equations (892) can reduce 890 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (890) ~ (all_0_28_28 = e4)
% 268.01/209.06 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1522), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (406) all_0_33_33 = e4
% 268.01/209.06 |
% 268.01/209.06 | Combining equations (406,414) yields a new equation:
% 268.01/209.06 | (1111) e4 = e2
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 1111 yields:
% 268.01/209.06 | (539) e4 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (539) can reduce 19 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (405) ~ (all_0_33_33 = e4)
% 268.01/209.06 | (1165) all_0_38_38 = e4
% 268.01/209.06 |
% 268.01/209.06 | Equations (1165) can reduce 1143 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (869) ~ (all_0_17_17 = e4)
% 268.01/209.06 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1148), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (831) all_0_22_22 = e4
% 268.01/209.06 |
% 268.01/209.06 | From (831) and (5602) follows:
% 268.01/209.06 | (1335) op(e4, e4) = e2
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (25576), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1336) ~ (op(e4, e4) = e2)
% 268.01/209.06 |
% 268.01/209.06 | Using (1335) and (1336) yields:
% 268.01/209.06 | (821) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (1335) op(e4, e4) = e2
% 268.01/209.06 | (551) e2 = e0
% 268.01/209.06 |
% 268.01/209.06 | Equations (551) can reduce 347 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (576) ~ (all_0_22_22 = e4)
% 268.01/209.06 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1152), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (435) all_0_27_27 = e4
% 268.01/209.06 |
% 268.01/209.06 | Combining equations (543,435) yields a new equation:
% 268.01/209.06 | (480) e4 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (480) can reduce 65 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (404) ~ (all_0_27_27 = e4)
% 268.01/209.06 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1222), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1229) all_0_32_32 = e4
% 268.01/209.06 |
% 268.01/209.06 | Equations (1229) can reduce 727 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (727) ~ (all_0_32_32 = e4)
% 268.01/209.06 | (1232) all_0_37_37 = e4
% 268.01/209.06 |
% 268.01/209.06 | Equations (1232) can reduce 2658 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (664) ~ (all_0_16_16 = e2)
% 268.01/209.06 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (700), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (522) all_0_21_21 = e2
% 268.01/209.06 |
% 268.01/209.06 | Combining equations (522,453) yields a new equation:
% 268.01/209.06 | (764) e3 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (764) can reduce 56 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (361) ~ (all_0_21_21 = e2)
% 268.01/209.06 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (2289), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (2380) all_0_26_26 = e2
% 268.01/209.06 |
% 268.01/209.06 | Combining equations (1237,2380) yields a new equation:
% 268.01/209.06 | (1111) e4 = e2
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 1111 yields:
% 268.01/209.06 | (539) e4 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (539) can reduce 19 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (647) ~ (all_0_26_26 = e2)
% 268.01/209.06 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (704), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1287) all_0_16_16 = e3
% 268.01/209.06 |
% 268.01/209.06 | Equations (1287) can reduce 458 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (458) ~ (all_0_16_16 = e3)
% 268.01/209.06 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1290), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (697) all_0_16_16 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (697) can reduce 664 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (664) ~ (all_0_16_16 = e2)
% 268.01/209.06 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (2383), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (751) all_0_31_31 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (751) can reduce 1099 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (1099) ~ (all_0_31_31 = e2)
% 268.01/209.06 | (801) all_0_36_36 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (801) can reduce 64 to:
% 268.01/209.06 | (664) ~ (all_0_16_16 = e2)
% 268.01/209.06 |
% 268.01/209.06 | Equations (801) can reduce 7 to:
% 268.01/209.06 | (1099) ~ (all_0_31_31 = e2)
% 268.01/209.06 |
% 268.01/209.06 | Equations (801) can reduce 516 to:
% 268.01/209.06 | (658) ~ (e3 = e2)
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 658 yields:
% 268.01/209.06 | (56) ~ (e3 = e2)
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1377), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (921) all_0_16_16 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (921) can reduce 10 to:
% 268.01/209.06 | (1613) ~ (all_0_31_31 = e1)
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 1613 yields:
% 268.01/209.06 | (423) ~ (all_0_31_31 = e1)
% 268.01/209.06 |
% 268.01/209.06 | Equations (921) can reduce 573 to:
% 268.01/209.06 | (477) ~ (e4 = e1)
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 477 yields:
% 268.01/209.06 | (65) ~ (e4 = e1)
% 268.01/209.06 |
% 268.01/209.06 | Equations (921) can reduce 458 to:
% 268.01/209.06 | (429) ~ (e3 = e1)
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 429 yields:
% 268.01/209.06 | (318) ~ (e3 = e1)
% 268.01/209.06 |
% 268.01/209.06 | Equations (921) can reduce 664 to:
% 268.01/209.06 | (1002) ~ (e2 = e1)
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 1002 yields:
% 268.01/209.06 | (329) ~ (e2 = e1)
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (159), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (787) all_0_30_30 = e1
% 268.01/209.06 |
% 268.01/209.06 | Combining equations (768,787) yields a new equation:
% 268.01/209.06 | (955) e4 = e1
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 955 yields:
% 268.01/209.06 | (480) e4 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (480) can reduce 65 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (422) ~ (all_0_30_30 = e1)
% 268.01/209.06 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (5570), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1010) all_0_31_31 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (1010) can reduce 423 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (423) ~ (all_0_31_31 = e1)
% 268.01/209.06 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (5940), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1587) all_0_32_32 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (1587) can reduce 424 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (424) ~ (all_0_32_32 = e1)
% 268.01/209.06 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (115), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1446) all_0_31_31 = e4
% 268.01/209.06 |
% 268.01/209.06 | Equations (1446) can reduce 584 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (584) ~ (all_0_31_31 = e4)
% 268.01/209.06 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1631), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (763) all_0_31_31 = e3
% 268.01/209.06 |
% 268.01/209.06 | Equations (763) can reduce 510 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (510) ~ (all_0_31_31 = e3)
% 268.01/209.06 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (5953), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (418) all_0_33_33 = e1
% 268.01/209.06 |
% 268.01/209.06 | Combining equations (414,418) yields a new equation:
% 268.01/209.06 | (717) e2 = e1
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 717 yields:
% 268.01/209.06 | (718) e2 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (718) can reduce 329 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (507) ~ (all_0_33_33 = e1)
% 268.01/209.06 | (954) all_0_34_34 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (954) can reduce 188 to:
% 268.01/209.06 | (423) ~ (all_0_31_31 = e1)
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1635), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (751) all_0_31_31 = e2
% 268.01/209.06 |
% 268.01/209.06 | Equations (751) can reduce 1099 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (1099) ~ (all_0_31_31 = e2)
% 268.01/209.06 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 268.01/209.06 |
% 268.01/209.06 +-Applying beta-rule and splitting (1639), into two cases.
% 268.01/209.06 |-Branch one:
% 268.01/209.06 | (1010) all_0_31_31 = e1
% 268.01/209.06 |
% 268.01/209.06 | Equations (1010) can reduce 423 to:
% 268.01/209.06 | (366) $false
% 268.01/209.06 |
% 268.01/209.06 |-The branch is then unsatisfiable
% 268.01/209.06 |-Branch two:
% 268.01/209.06 | (423) ~ (all_0_31_31 = e1)
% 268.01/209.06 | (1060) all_0_31_31 = e0
% 268.01/209.06 |
% 268.01/209.06 | Equations (1060) can reduce 510 to:
% 268.01/209.06 | (391) ~ (e3 = e0)
% 268.01/209.06 |
% 268.01/209.06 | Simplifying 391 yields:
% 268.01/209.06 | (88) ~ (e3 = e0)
% 268.01/209.06 |
% 268.01/209.06 | From (1060) and (131) follows:
% 268.01/209.07 | (13958) op(e1, e3) = e0
% 268.01/209.07 |
% 268.01/209.07 +-Applying beta-rule and splitting (261), into two cases.
% 268.01/209.07 |-Branch one:
% 268.01/209.07 | (1229) all_0_32_32 = e4
% 268.01/209.07 |
% 268.01/209.07 | Equations (1229) can reduce 727 to:
% 268.01/209.07 | (366) $false
% 268.01/209.07 |
% 268.01/209.07 |-The branch is then unsatisfiable
% 268.01/209.07 |-Branch two:
% 268.01/209.07 | (727) ~ (all_0_32_32 = e4)
% 268.01/209.07 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 268.01/209.07 |
% 268.01/209.07 +-Applying beta-rule and splitting (155), into two cases.
% 268.01/209.07 |-Branch one:
% 268.01/209.07 | (759) all_0_30_30 = e3
% 268.01/209.07 |
% 268.01/209.07 | Combining equations (768,759) yields a new equation:
% 268.01/209.07 | (690) e4 = e3
% 268.01/209.07 |
% 268.01/209.07 | Simplifying 690 yields:
% 268.01/209.07 | (691) e4 = e3
% 268.01/209.07 |
% 268.01/209.07 | Equations (691) can reduce 277 to:
% 268.01/209.07 | (366) $false
% 268.01/209.07 |
% 268.01/209.07 |-The branch is then unsatisfiable
% 268.01/209.07 |-Branch two:
% 268.01/209.07 | (568) ~ (all_0_30_30 = e3)
% 268.01/209.07 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 268.01/209.07 |
% 268.01/209.07 +-Applying beta-rule and splitting (1506), into two cases.
% 268.01/209.07 |-Branch one:
% 268.01/209.07 | (772) all_0_32_32 = e3
% 268.01/209.07 |
% 268.01/209.07 +-Applying beta-rule and splitting (23725), into two cases.
% 268.01/209.07 |-Branch one:
% 268.01/209.07 | (23728) ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3
% 268.01/209.07 |
% 268.01/209.07 | Applying alpha-rule on (23728) yields:
% 268.01/209.07 | (23729) ~ (all_0_3_3 = e0)
% 268.01/209.07 | (23730) op(e1, all_0_32_32) = all_0_3_3
% 268.01/209.07 |
% 268.01/209.07 | From (772) and (23730) follows:
% 268.01/209.07 | (30299) op(e1, e3) = all_0_3_3
% 268.01/209.07 |
% 268.01/209.07 | Instantiating formula (97) with e1, e3, all_0_3_3, e0 and discharging atoms op(e1, e3) = all_0_3_3, op(e1, e3) = e0, yields:
% 268.01/209.07 | (30300) all_0_3_3 = e0
% 268.01/209.07 |
% 268.01/209.07 | Equations (30300) can reduce 23729 to:
% 268.01/209.07 | (366) $false
% 268.01/209.07 |
% 268.01/209.07 |-The branch is then unsatisfiable
% 268.01/209.07 |-Branch two:
% 268.01/209.07 | (23783) ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4
% 268.01/209.07 |
% 268.01/209.07 | Applying alpha-rule on (23783) yields:
% 268.01/209.07 | (23784) ~ (all_0_4_4 = e3)
% 268.01/209.07 | (23785) op(all_0_32_32, all_0_32_32) = all_0_4_4
% 268.01/209.07 |
% 268.01/209.07 | From (772)(772) and (23785) follows:
% 268.01/209.08 | (30305) op(e3, e3) = all_0_4_4
% 268.01/209.08 |
% 268.01/209.08 | Instantiating formula (97) with e3, e3, all_0_4_4, e3 and discharging atoms op(e3, e3) = all_0_4_4, op(e3, e3) = e3, yields:
% 268.01/209.08 | (23787) all_0_4_4 = e3
% 268.01/209.08 |
% 268.01/209.08 | Equations (23787) can reduce 23784 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (1089) ~ (all_0_32_32 = e3)
% 268.01/209.08 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 268.01/209.08 |
% 268.01/209.08 +-Applying beta-rule and splitting (762), into two cases.
% 268.01/209.08 |-Branch one:
% 268.01/209.08 | (763) all_0_31_31 = e3
% 268.01/209.08 |
% 268.01/209.08 | Combining equations (1060,763) yields a new equation:
% 268.01/209.08 | (980) e3 = e0
% 268.01/209.08 |
% 268.01/209.08 | Equations (980) can reduce 88 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (510) ~ (all_0_31_31 = e3)
% 268.01/209.08 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 268.01/209.08 |
% 268.01/209.08 +-Applying beta-rule and splitting (767), into two cases.
% 268.01/209.08 |-Branch one:
% 268.01/209.08 | (772) all_0_32_32 = e3
% 268.01/209.08 |
% 268.01/209.08 | Equations (772) can reduce 1089 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (1089) ~ (all_0_32_32 = e3)
% 268.01/209.08 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 268.01/209.08 |
% 268.01/209.08 +-Applying beta-rule and splitting (1090), into two cases.
% 268.01/209.08 |-Branch one:
% 268.01/209.08 | (410) all_0_33_33 = e3
% 268.01/209.08 |
% 268.01/209.08 | Combining equations (414,410) yields a new equation:
% 268.01/209.08 | (764) e3 = e2
% 268.01/209.08 |
% 268.01/209.08 | Equations (764) can reduce 56 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (403) ~ (all_0_33_33 = e3)
% 268.01/209.08 | (1027) all_0_34_34 = e3
% 268.01/209.08 |
% 268.01/209.08 | Combining equations (1027,954) yields a new equation:
% 268.01/209.08 | (933) e3 = e1
% 268.01/209.08 |
% 268.01/209.08 | Simplifying 933 yields:
% 268.01/209.08 | (706) e3 = e1
% 268.01/209.08 |
% 268.01/209.08 | Equations (706) can reduce 318 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (985) ~ (all_0_16_16 = e1)
% 268.01/209.08 | (873) all_0_16_16 = e0
% 268.01/209.08 |
% 268.01/209.08 | Equations (873) can reduce 824 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (509) ~ (all_0_30_30 = e4)
% 268.01/209.08 | (1161) all_0_35_35 = e4
% 268.01/209.08 |
% 268.01/209.08 | Equations (1161) can reduce 514 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (18224) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 268.01/209.08 |
% 268.01/209.08 | Applying alpha-rule on (18224) yields:
% 268.01/209.08 | (18221) all_0_8_8 = all_0_28_28
% 268.01/209.08 | (18226) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e0) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 268.01/209.08 |
% 268.01/209.08 +-Applying beta-rule and splitting (914), into two cases.
% 268.01/209.08 |-Branch one:
% 268.01/209.08 | (1453) all_0_20_20 = e4
% 268.01/209.08 |
% 268.01/209.08 | Equations (1453) can reduce 496 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (496) ~ (all_0_20_20 = e4)
% 268.01/209.08 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 268.01/209.08 |
% 268.01/209.08 +-Applying beta-rule and splitting (1456), into two cases.
% 268.01/209.08 |-Branch one:
% 268.01/209.08 | (1158) all_0_25_25 = e4
% 268.01/209.08 |
% 268.01/209.08 | Equations (1158) can reduce 501 to:
% 268.01/209.08 | (366) $false
% 268.01/209.08 |
% 268.01/209.08 |-The branch is then unsatisfiable
% 268.01/209.08 |-Branch two:
% 268.01/209.08 | (501) ~ (all_0_25_25 = e4)
% 268.01/209.08 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 268.01/209.08 |
% 268.01/209.08 +-Applying beta-rule and splitting (1460), into two cases.
% 268.01/209.08 |-Branch one:
% 268.01/209.08 | (768) all_0_30_30 = e4
% 268.01/209.08 |
% 268.01/209.08 | Equations (768) can reduce 116 to:
% 268.01/209.08 | (496) ~ (all_0_20_20 = e4)
% 268.01/209.08 |
% 268.01/209.08 | Equations (768) can reduce 58 to:
% 268.01/209.08 | (501) ~ (all_0_25_25 = e4)
% 268.01/209.08 |
% 268.01/209.08 | Equations (768) can reduce 217 to:
% 268.01/209.08 | (583) ~ (all_0_31_31 = e4)
% 268.01/209.08 |
% 268.01/209.08 | Simplifying 583 yields:
% 268.01/209.08 | (584) ~ (all_0_31_31 = e4)
% 268.01/209.08 |
% 268.01/209.08 | Equations (768) can reduce 96 to:
% 268.01/209.08 | (1159) ~ (all_0_35_35 = e4)
% 268.01/209.08 |
% 268.01/209.08 | Simplifying 1159 yields:
% 268.01/209.08 | (514) ~ (all_0_35_35 = e4)
% 268.01/209.08 |
% 268.01/209.08 | Equations (768) can reduce 740 to:
% 268.01/209.08 | (19) ~ (e4 = e2)
% 268.01/209.08 |
% 268.01/209.08 | Equations (768) can reduce 1878 to:
% 268.01/209.08 | (287) ~ (e4 = e0)
% 268.01/209.08 |
% 268.01/209.08 | From (768) and (238) follows:
% 268.01/209.08 | (26221) op(all_0_18_18, e4) = e1
% 268.01/209.08 |
% 268.01/209.08 | From (768) and (290) follows:
% 268.01/209.08 | (2823) op(e4, all_0_18_18) = e4
% 268.01/209.08 |
% 268.01/209.08 | From (768) and (68) follows:
% 268.01/209.08 | (4267) op(e1, e4) = e4
% 268.01/209.08 |
% 268.01/209.08 +-Applying beta-rule and splitting (15030), into two cases.
% 268.01/209.08 |-Branch one:
% 268.01/209.09 | (20680) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 268.01/209.09 |
% 268.01/209.09 | Applying alpha-rule on (20680) yields:
% 268.01/209.09 | (20681) all_0_5_5 = all_0_32_32
% 268.01/209.09 | (727) ~ (all_0_32_32 = e4)
% 268.01/209.09 |
% 268.01/209.09 | Instantiating formula (97) with e4, e4, e2, e0 and discharging atoms op(e4, e4) = e0, yields:
% 268.01/209.09 | (25576) e2 = e0 | ~ (op(e4, e4) = e2)
% 268.01/209.09 |
% 268.01/209.09 | Instantiating formula (97) with e4, e4, e4, e0 and discharging atoms op(e4, e4) = e0, yields:
% 268.01/209.09 | (24609) e4 = e0 | ~ (op(e4, e4) = e4)
% 268.01/209.09 |
% 268.01/209.09 | Instantiating formula (97) with e4, e3, e4, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 268.01/209.09 | (25618) all_0_16_16 = e4 | ~ (op(e4, e3) = e4)
% 268.01/209.09 |
% 268.01/209.09 | Instantiating formula (97) with e1, e4, e4, e1 and discharging atoms op(e1, e4) = e4, yields:
% 268.01/209.09 | (18410) e4 = e1 | ~ (op(e1, e4) = e1)
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (261), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (1229) all_0_32_32 = e4
% 268.01/209.09 |
% 268.01/209.09 | Equations (1229) can reduce 727 to:
% 268.01/209.09 | (366) $false
% 268.01/209.09 |
% 268.01/209.09 |-The branch is then unsatisfiable
% 268.01/209.09 |-Branch two:
% 268.01/209.09 | (727) ~ (all_0_32_32 = e4)
% 268.01/209.09 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (29), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (476) all_0_15_15 = e1
% 268.01/209.09 |
% 268.01/209.09 | Combining equations (483,476) yields a new equation:
% 268.01/209.09 | (961) e1 = e0
% 268.01/209.09 |
% 268.01/209.09 | Equations (961) can reduce 37 to:
% 268.01/209.09 | (366) $false
% 268.01/209.09 |
% 268.01/209.09 |-The branch is then unsatisfiable
% 268.01/209.09 |-Branch two:
% 268.01/209.09 | (482) ~ (all_0_15_15 = e1)
% 268.01/209.09 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (155), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (759) all_0_30_30 = e3
% 268.01/209.09 |
% 268.01/209.09 | Combining equations (759,768) yields a new equation:
% 268.01/209.09 | (691) e4 = e3
% 268.01/209.09 |
% 268.01/209.09 | Equations (691) can reduce 277 to:
% 268.01/209.09 | (366) $false
% 268.01/209.09 |
% 268.01/209.09 |-The branch is then unsatisfiable
% 268.01/209.09 |-Branch two:
% 268.01/209.09 | (568) ~ (all_0_30_30 = e3)
% 268.01/209.09 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 268.01/209.09 |
% 268.01/209.09 | Equations (768) can reduce 568 to:
% 268.01/209.09 | (277) ~ (e4 = e3)
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (23), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (3159) all_0_25_25 = e2
% 268.01/209.09 |
% 268.01/209.09 | Equations (3159) can reduce 95 to:
% 268.01/209.09 | (1114) ~ (all_0_20_20 = e2)
% 268.01/209.09 |
% 268.01/209.09 | Equations (3159) can reduce 62 to:
% 268.01/209.09 | (650) ~ (all_0_29_29 = e2)
% 268.01/209.09 |
% 268.01/209.09 | Simplifying 650 yields:
% 268.01/209.09 | (651) ~ (all_0_29_29 = e2)
% 268.01/209.09 |
% 268.01/209.09 | Equations (3159) can reduce 946 to:
% 268.01/209.09 | (329) ~ (e2 = e1)
% 268.01/209.09 |
% 268.01/209.09 | Equations (3159) can reduce 1925 to:
% 268.01/209.09 | (347) ~ (e2 = e0)
% 268.01/209.09 |
% 268.01/209.09 | From (3159) and (49) follows:
% 268.01/209.09 | (30384) op(e2, all_0_17_17) = e4
% 268.01/209.09 |
% 268.01/209.09 | From (3159) and (233) follows:
% 268.01/209.09 | (22469) op(e2, e4) = e2
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (111), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (468) all_0_15_15 = e3
% 268.01/209.09 |
% 268.01/209.09 | Combining equations (483,468) yields a new equation:
% 268.01/209.09 | (980) e3 = e0
% 268.01/209.09 |
% 268.01/209.09 | Equations (980) can reduce 88 to:
% 268.01/209.09 | (366) $false
% 268.01/209.09 |
% 268.01/209.09 |-The branch is then unsatisfiable
% 268.01/209.09 |-Branch two:
% 268.01/209.09 | (433) ~ (all_0_15_15 = e3)
% 268.01/209.09 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (7536), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (903) all_0_20_20 = e3
% 268.01/209.09 |
% 268.01/209.09 | Equations (903) can reduce 564 to:
% 268.01/209.09 | (366) $false
% 268.01/209.09 |
% 268.01/209.09 |-The branch is then unsatisfiable
% 268.01/209.09 |-Branch two:
% 268.01/209.09 | (564) ~ (all_0_20_20 = e3)
% 268.01/209.09 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (8890), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (2438) all_0_25_25 = e3
% 268.01/209.09 |
% 268.01/209.09 | Combining equations (3159,2438) yields a new equation:
% 268.01/209.09 | (764) e3 = e2
% 268.01/209.09 |
% 268.01/209.09 | Equations (764) can reduce 56 to:
% 268.01/209.09 | (366) $false
% 268.01/209.09 |
% 268.01/209.09 |-The branch is then unsatisfiable
% 268.01/209.09 |-Branch two:
% 268.01/209.09 | (566) ~ (all_0_25_25 = e3)
% 268.01/209.09 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (8920), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (759) all_0_30_30 = e3
% 268.01/209.09 |
% 268.01/209.09 | Combining equations (759,768) yields a new equation:
% 268.01/209.09 | (691) e4 = e3
% 268.01/209.09 |
% 268.01/209.09 | Equations (691) can reduce 277 to:
% 268.01/209.09 | (366) $false
% 268.01/209.09 |
% 268.01/209.09 |-The branch is then unsatisfiable
% 268.01/209.09 |-Branch two:
% 268.01/209.09 | (568) ~ (all_0_30_30 = e3)
% 268.01/209.09 | (814) all_0_35_35 = e3
% 268.01/209.09 |
% 268.01/209.09 | Equations (814) can reduce 514 to:
% 268.01/209.09 | (695) ~ (e4 = e3)
% 268.01/209.09 |
% 268.01/209.09 | Simplifying 695 yields:
% 268.01/209.09 | (277) ~ (e4 = e3)
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (937), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (1175) all_0_20_20 = e1
% 268.01/209.09 |
% 268.01/209.09 | Equations (1175) can reduce 272 to:
% 268.01/209.09 | (3684) ~ (all_0_23_23 = e1)
% 268.01/209.09 |
% 268.01/209.09 | Simplifying 3684 yields:
% 268.01/209.09 | (420) ~ (all_0_23_23 = e1)
% 268.01/209.09 |
% 268.01/209.09 | Equations (1175) can reduce 496 to:
% 268.01/209.09 | (477) ~ (e4 = e1)
% 268.01/209.09 |
% 268.01/209.09 | Simplifying 477 yields:
% 268.01/209.09 | (65) ~ (e4 = e1)
% 268.01/209.09 |
% 268.01/209.09 | Equations (1175) can reduce 1114 to:
% 268.01/209.09 | (1002) ~ (e2 = e1)
% 268.01/209.09 |
% 268.01/209.09 | Simplifying 1002 yields:
% 268.01/209.09 | (329) ~ (e2 = e1)
% 268.01/209.09 |
% 268.01/209.09 | Equations (1175) can reduce 839 to:
% 268.01/209.09 | (37) ~ (e1 = e0)
% 268.01/209.09 |
% 268.01/209.09 | Instantiating formula (97) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e2, yields:
% 268.01/209.09 | (30415) e4 = e2 | ~ (op(e2, e4) = e4)
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (51), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (736) all_0_20_20 = e2
% 268.01/209.09 |
% 268.01/209.09 | Combining equations (736,1175) yields a new equation:
% 268.01/209.09 | (717) e2 = e1
% 268.01/209.09 |
% 268.01/209.09 | Simplifying 717 yields:
% 268.01/209.09 | (718) e2 = e1
% 268.01/209.09 |
% 268.01/209.09 | Equations (718) can reduce 329 to:
% 268.01/209.09 | (366) $false
% 268.01/209.09 |
% 268.01/209.09 |-The branch is then unsatisfiable
% 268.01/209.09 |-Branch two:
% 268.01/209.09 | (1114) ~ (all_0_20_20 = e2)
% 268.01/209.09 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 268.01/209.09 |
% 268.01/209.09 | Equations (1175) can reduce 1114 to:
% 268.01/209.09 | (1002) ~ (e2 = e1)
% 268.01/209.09 |
% 268.01/209.09 | Simplifying 1002 yields:
% 268.01/209.09 | (329) ~ (e2 = e1)
% 268.01/209.09 |
% 268.01/209.09 +-Applying beta-rule and splitting (259), into two cases.
% 268.01/209.09 |-Branch one:
% 268.01/209.09 | (1278) all_0_18_18 = e1
% 268.01/209.09 |
% 268.01/209.09 | From (1278) and (26221) follows:
% 268.01/209.10 | (18405) op(e1, e4) = e1
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (18410), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (18411) ~ (op(e1, e4) = e1)
% 268.01/209.10 |
% 268.01/209.10 | Using (18405) and (18411) yields:
% 268.01/209.10 | (821) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (18405) op(e1, e4) = e1
% 268.01/209.10 | (480) e4 = e1
% 268.01/209.10 |
% 268.01/209.10 | Equations (480) can reduce 65 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (419) ~ (all_0_18_18 = e1)
% 268.01/209.10 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (8300), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (3952) all_0_23_23 = e1
% 268.01/209.10 |
% 268.01/209.10 | Equations (3952) can reduce 420 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (420) ~ (all_0_23_23 = e1)
% 268.01/209.10 | (17548) all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (17548), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (1041) all_0_28_28 = e1
% 268.01/209.10 |
% 268.01/209.10 | Equations (1041) can reduce 421 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (421) ~ (all_0_28_28 = e1)
% 268.01/209.10 | (17553) all_0_33_33 = e1 | all_0_38_38 = e1
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (17553), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (418) all_0_33_33 = e1
% 268.01/209.10 |
% 268.01/209.10 | Combining equations (414,418) yields a new equation:
% 268.01/209.10 | (717) e2 = e1
% 268.01/209.10 |
% 268.01/209.10 | Simplifying 717 yields:
% 268.01/209.10 | (718) e2 = e1
% 268.01/209.10 |
% 268.01/209.10 | Equations (718) can reduce 329 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (507) ~ (all_0_33_33 = e1)
% 268.01/209.10 | (1211) all_0_38_38 = e1
% 268.01/209.10 |
% 268.01/209.10 | Equations (1211) can reduce 39 to:
% 268.01/209.10 | (420) ~ (all_0_23_23 = e1)
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (323), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (476) all_0_15_15 = e1
% 268.01/209.10 |
% 268.01/209.10 | Combining equations (476,483) yields a new equation:
% 268.01/209.10 | (960) e1 = e0
% 268.01/209.10 |
% 268.01/209.10 | Simplifying 960 yields:
% 268.01/209.10 | (961) e1 = e0
% 268.01/209.10 |
% 268.01/209.10 | Equations (961) can reduce 37 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (482) ~ (all_0_15_15 = e1)
% 268.01/209.10 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 268.01/209.10 |
% 268.01/209.10 | Equations (483) can reduce 482 to:
% 268.01/209.10 | (395) ~ (e1 = e0)
% 268.01/209.10 |
% 268.01/209.10 | Simplifying 395 yields:
% 268.01/209.10 | (37) ~ (e1 = e0)
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (252), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (454) ( ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)) | ( ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0)) | ( ~ (all_0_25_25 = e4) & ~ (all_0_26_26 = e3) & ~ (all_0_27_27 = e2) & ~ (all_0_28_28 = e1) & ~ (all_0_29_29 = e0)) | ( ~ (all_0_30_30 = e4) & ~ (all_0_31_31 = e3) & ~ (all_0_32_32 = e2) & ~ (all_0_33_33 = e1) & ~ (all_0_34_34 = e0))
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (454), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (455) ( ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)) | ( ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0)) | ( ~ (all_0_25_25 = e4) & ~ (all_0_26_26 = e3) & ~ (all_0_27_27 = e2) & ~ (all_0_28_28 = e1) & ~ (all_0_29_29 = e0))
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (455), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (456) ( ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)) | ( ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0))
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (456), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (457) ~ (all_0_15_15 = e4) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = e2) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = e0)
% 268.01/209.10 |
% 268.01/209.10 | Applying alpha-rule on (457) yields:
% 268.01/209.10 | (458) ~ (all_0_16_16 = e3)
% 268.01/209.10 | (459) ~ (all_0_17_17 = e2)
% 268.01/209.10 | (460) ~ (all_0_15_15 = e4)
% 268.01/209.10 | (419) ~ (all_0_18_18 = e1)
% 268.01/209.10 | (381) ~ (all_0_19_19 = e0)
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (203), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (1980) all_0_17_17 = e2
% 268.01/209.10 |
% 268.01/209.10 | Equations (1980) can reduce 459 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (459) ~ (all_0_17_17 = e2)
% 268.01/209.10 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (137), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (1515) all_0_23_23 = e4
% 268.01/209.10 |
% 268.01/209.10 | Equations (1515) can reduce 346 to:
% 268.01/209.10 | (576) ~ (all_0_22_22 = e4)
% 268.01/209.10 |
% 268.01/209.10 | Equations (1515) can reduce 420 to:
% 268.01/209.10 | (65) ~ (e4 = e1)
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (59), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (865) all_0_17_17 = e4
% 268.01/209.10 |
% 268.01/209.10 | Equations (865) can reduce 459 to:
% 268.01/209.10 | (19) ~ (e4 = e2)
% 268.01/209.10 |
% 268.01/209.10 | From (865) and (30384) follows:
% 268.01/209.10 | (3199) op(e2, e4) = e4
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (30415), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (3200) ~ (op(e2, e4) = e4)
% 268.01/209.10 |
% 268.01/209.10 | Using (3199) and (3200) yields:
% 268.01/209.10 | (821) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (3199) op(e2, e4) = e4
% 268.01/209.10 | (539) e4 = e2
% 268.01/209.10 |
% 268.01/209.10 | Equations (539) can reduce 19 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (869) ~ (all_0_17_17 = e4)
% 268.01/209.10 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (1148), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (831) all_0_22_22 = e4
% 268.01/209.10 |
% 268.01/209.10 | Equations (831) can reduce 576 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (576) ~ (all_0_22_22 = e4)
% 268.01/209.10 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (1152), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (435) all_0_27_27 = e4
% 268.01/209.10 |
% 268.01/209.10 | Combining equations (435,543) yields a new equation:
% 268.01/209.10 | (955) e4 = e1
% 268.01/209.10 |
% 268.01/209.10 | Simplifying 955 yields:
% 268.01/209.10 | (480) e4 = e1
% 268.01/209.10 |
% 268.01/209.10 | Equations (480) can reduce 65 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (404) ~ (all_0_27_27 = e4)
% 268.01/209.10 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (1222), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (1229) all_0_32_32 = e4
% 268.01/209.10 |
% 268.01/209.10 | Equations (1229) can reduce 727 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (727) ~ (all_0_32_32 = e4)
% 268.01/209.10 | (1232) all_0_37_37 = e4
% 268.01/209.10 |
% 268.01/209.10 | Equations (1232) can reduce 2658 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (578) ~ (all_0_23_23 = e4)
% 268.01/209.10 | (3943) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (7219), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (449) all_0_21_21 = e4
% 268.01/209.10 |
% 268.01/209.10 | Combining equations (449,453) yields a new equation:
% 268.01/209.10 | (690) e4 = e3
% 268.01/209.10 |
% 268.01/209.10 | Simplifying 690 yields:
% 268.01/209.10 | (691) e4 = e3
% 268.01/209.10 |
% 268.01/209.10 | Equations (691) can reduce 277 to:
% 268.01/209.10 | (366) $false
% 268.01/209.10 |
% 268.01/209.10 |-The branch is then unsatisfiable
% 268.01/209.10 |-Branch two:
% 268.01/209.10 | (448) ~ (all_0_21_21 = e4)
% 268.01/209.10 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 268.01/209.10 |
% 268.01/209.10 +-Applying beta-rule and splitting (7224), into two cases.
% 268.01/209.10 |-Branch one:
% 268.01/209.10 | (831) all_0_22_22 = e4
% 268.01/209.10 |
% 268.01/209.11 | From (831) and (5602) follows:
% 268.01/209.11 | (1335) op(e4, e4) = e2
% 268.01/209.11 |
% 268.01/209.11 +-Applying beta-rule and splitting (25576), into two cases.
% 268.01/209.11 |-Branch one:
% 268.01/209.11 | (1336) ~ (op(e4, e4) = e2)
% 268.01/209.11 |
% 268.01/209.11 | Using (1335) and (1336) yields:
% 268.01/209.11 | (821) $false
% 268.01/209.11 |
% 268.01/209.11 |-The branch is then unsatisfiable
% 268.01/209.11 |-Branch two:
% 268.01/209.11 | (1335) op(e4, e4) = e2
% 268.01/209.11 | (551) e2 = e0
% 268.01/209.11 |
% 268.01/209.11 | Equations (551) can reduce 347 to:
% 268.01/209.11 | (366) $false
% 268.01/209.11 |
% 268.01/209.11 |-The branch is then unsatisfiable
% 268.01/209.11 |-Branch two:
% 268.01/209.11 | (576) ~ (all_0_22_22 = e4)
% 268.01/209.11 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 268.01/209.11 |
% 268.01/209.11 +-Applying beta-rule and splitting (7426), into two cases.
% 268.01/209.11 |-Branch one:
% 268.01/209.11 | (1515) all_0_23_23 = e4
% 268.01/209.11 |
% 268.01/209.11 | Equations (1515) can reduce 578 to:
% 268.01/209.11 | (366) $false
% 268.01/209.11 |
% 268.01/209.11 |-The branch is then unsatisfiable
% 268.01/209.11 |-Branch two:
% 268.01/209.11 | (578) ~ (all_0_23_23 = e4)
% 268.01/209.11 | (685) all_0_24_24 = e4
% 268.01/209.11 |
% 268.01/209.11 | Equations (685) can reduce 580 to:
% 268.01/209.11 | (366) $false
% 268.01/209.11 |
% 268.01/209.11 |-The branch is then unsatisfiable
% 268.01/209.11 |-Branch two:
% 268.01/209.11 | (492) ~ (all_0_20_20 = e4) & ~ (all_0_21_21 = e3) & ~ (all_0_22_22 = e2) & ~ (all_0_23_23 = e1) & ~ (all_0_24_24 = e0)
% 268.01/209.11 |
% 268.01/209.11 | Applying alpha-rule on (492) yields:
% 268.01/209.11 | (493) ~ (all_0_22_22 = e2)
% 268.01/209.11 | (494) ~ (all_0_21_21 = e3)
% 268.01/209.11 | (420) ~ (all_0_23_23 = e1)
% 268.01/209.11 | (496) ~ (all_0_20_20 = e4)
% 268.01/209.11 | (382) ~ (all_0_24_24 = e0)
% 268.01/209.11 |
% 268.01/209.11 | Equations (453) can reduce 494 to:
% 268.01/209.11 | (366) $false
% 268.01/209.11 |
% 268.01/209.11 |-The branch is then unsatisfiable
% 268.01/209.11 |-Branch two:
% 268.01/209.11 | (499) ~ (all_0_25_25 = e4) & ~ (all_0_26_26 = e3) & ~ (all_0_27_27 = e2) & ~ (all_0_28_28 = e1) & ~ (all_0_29_29 = e0)
% 268.01/209.11 |
% 268.01/209.11 | Applying alpha-rule on (499) yields:
% 268.01/209.11 | (500) ~ (all_0_27_27 = e2)
% 268.01/209.11 | (501) ~ (all_0_25_25 = e4)
% 268.01/209.11 | (383) ~ (all_0_29_29 = e0)
% 268.01/209.11 | (421) ~ (all_0_28_28 = e1)
% 268.01/209.11 | (504) ~ (all_0_26_26 = e3)
% 268.01/209.11 |
% 268.01/209.11 +-Applying beta-rule and splitting (357), into two cases.
% 268.01/209.11 |-Branch one:
% 268.01/209.11 | (1250) all_0_29_29 = e4
% 268.01/209.11 |
% 268.01/209.11 | Equations (1250) can reduce 724 to:
% 268.01/209.11 | (366) $false
% 268.01/209.11 |
% 268.01/209.11 |-The branch is then unsatisfiable
% 268.01/209.11 |-Branch two:
% 268.01/209.11 | (724) ~ (all_0_29_29 = e4)
% 268.01/209.11 | (2812) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 268.01/209.11 |
% 268.01/209.11 +-Applying beta-rule and splitting (241), into two cases.
% 268.01/209.11 |-Branch one:
% 268.01/209.11 | (1921) all_0_25_25 = e0
% 268.01/209.11 |
% 268.01/209.11 | Combining equations (3159,1921) yields a new equation:
% 268.01/209.11 | (836) e2 = e0
% 268.01/209.11 |
% 268.01/209.11 | Simplifying 836 yields:
% 268.01/209.11 | (551) e2 = e0
% 268.01/209.11 |
% 268.01/209.11 | Equations (551) can reduce 347 to:
% 268.01/209.11 | (366) $false
% 268.01/209.11 |
% 268.01/209.11 |-The branch is then unsatisfiable
% 268.01/209.11 |-Branch two:
% 268.01/209.11 | (1925) ~ (all_0_25_25 = e0)
% 268.01/209.12 | (1926) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 268.01/209.12 |
% 268.01/209.12 +-Applying beta-rule and splitting (1926), into two cases.
% 268.01/209.12 |-Branch one:
% 268.01/209.12 | (883) all_0_26_26 = e0
% 268.01/209.12 |
% 268.01/209.12 | Combining equations (1237,883) yields a new equation:
% 268.01/209.12 | (842) e4 = e0
% 268.01/209.12 |
% 268.01/209.12 | Simplifying 842 yields:
% 268.01/209.12 | (490) e4 = e0
% 268.01/209.12 |
% 268.01/209.12 | Equations (490) can reduce 287 to:
% 268.01/209.12 | (366) $false
% 268.01/209.12 |
% 268.01/209.12 |-The branch is then unsatisfiable
% 268.01/209.12 |-Branch two:
% 268.01/209.12 | (1058) ~ (all_0_26_26 = e0)
% 268.01/209.12 | (2527) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 268.01/209.12 |
% 268.01/209.12 +-Applying beta-rule and splitting (2527), into two cases.
% 268.01/209.12 |-Branch one:
% 268.01/209.12 | (546) all_0_27_27 = e0
% 268.01/209.12 |
% 268.01/209.12 | Combining equations (546,543) yields a new equation:
% 268.01/209.12 | (961) e1 = e0
% 268.01/209.12 |
% 268.01/209.12 | Equations (961) can reduce 37 to:
% 268.01/209.12 | (366) $false
% 268.01/209.12 |
% 268.01/209.12 |-The branch is then unsatisfiable
% 268.01/209.12 |-Branch two:
% 268.01/209.12 | (434) ~ (all_0_27_27 = e0)
% 268.01/209.12 | (2533) all_0_28_28 = e0 | all_0_29_29 = e0
% 268.01/209.12 |
% 268.01/209.12 +-Applying beta-rule and splitting (2533), into two cases.
% 268.01/209.12 |-Branch one:
% 268.01/209.12 | (1044) all_0_28_28 = e0
% 268.01/209.12 |
% 268.01/209.12 | Combining equations (1044,18221) yields a new equation:
% 268.01/209.12 | (30554) all_0_8_8 = e0
% 268.01/209.12 |
% 268.01/209.12 | Equations (1044) can reduce 73 to:
% 268.01/209.12 | (3455) ~ (all_0_29_29 = e0)
% 268.01/209.12 |
% 268.01/209.12 | Simplifying 3455 yields:
% 268.01/209.12 | (383) ~ (all_0_29_29 = e0)
% 268.01/209.12 |
% 268.01/209.12 +-Applying beta-rule and splitting (2812), into two cases.
% 268.01/209.12 |-Branch one:
% 268.01/209.12 | (1023) all_0_29_29 = e3
% 268.01/209.12 |
% 268.01/209.12 | Equations (1023) can reduce 651 to:
% 268.01/209.12 | (56) ~ (e3 = e2)
% 268.01/209.12 |
% 268.01/209.12 | Equations (1023) can reduce 952 to:
% 268.01/209.12 | (318) ~ (e3 = e1)
% 268.01/209.12 |
% 268.01/209.12 | Equations (1023) can reduce 383 to:
% 268.01/209.12 | (88) ~ (e3 = e0)
% 268.01/209.12 |
% 268.01/209.12 +-Applying beta-rule and splitting (14993), into two cases.
% 268.01/209.12 |-Branch one:
% 268.01/209.12 | (20704) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)
% 268.01/209.12 |
% 268.01/209.12 | Applying alpha-rule on (20704) yields:
% 268.01/209.12 | (18221) all_0_8_8 = all_0_28_28
% 268.01/209.12 | (886) ~ (all_0_28_28 = e0)
% 268.01/209.12 |
% 268.01/209.12 | Combining equations (30554,18221) yields a new equation:
% 268.01/209.12 | (1044) all_0_28_28 = e0
% 268.01/209.12 |
% 268.01/209.12 | Equations (1044) can reduce 886 to:
% 268.01/209.12 | (366) $false
% 268.01/209.12 |
% 268.01/209.12 |-The branch is then unsatisfiable
% 268.01/209.12 |-Branch two:
% 268.01/209.12 | (20947) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 268.01/209.12 |
% 268.01/209.12 | Applying alpha-rule on (20947) yields:
% 268.18/209.12 | (18221) all_0_8_8 = all_0_28_28
% 268.18/209.13 | (20949) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 268.18/209.13 |
% 268.18/209.13 | Combining equations (30554,18221) yields a new equation:
% 268.18/209.13 | (1044) all_0_28_28 = e0
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (269), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (1134) all_0_18_18 = e3
% 268.18/209.13 |
% 268.18/209.13 | From (1134) and (2823) follows:
% 268.18/209.13 | (9409) op(e4, e3) = e4
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (25618), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (9410) ~ (op(e4, e3) = e4)
% 268.18/209.13 |
% 268.18/209.13 | Using (9409) and (9410) yields:
% 268.18/209.13 | (821) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (9409) op(e4, e3) = e4
% 268.18/209.13 | (701) all_0_16_16 = e4
% 268.18/209.13 |
% 268.18/209.13 | Equations (701) can reduce 573 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (560) ~ (all_0_18_18 = e3)
% 268.18/209.13 | (1137) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (1137), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (978) all_0_23_23 = e3
% 268.18/209.13 |
% 268.18/209.13 | Equations (978) can reduce 982 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (982) ~ (all_0_23_23 = e3)
% 268.18/209.13 | (3084) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (3084), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (896) all_0_28_28 = e3
% 268.18/209.13 |
% 268.18/209.13 | Combining equations (1044,896) yields a new equation:
% 268.18/209.13 | (980) e3 = e0
% 268.18/209.13 |
% 268.18/209.13 | Equations (980) can reduce 88 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (1035) ~ (all_0_28_28 = e3)
% 268.18/209.13 | (3089) all_0_33_33 = e3 | all_0_38_38 = e3
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (3089), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (410) all_0_33_33 = e3
% 268.18/209.13 |
% 268.18/209.13 | Combining equations (414,410) yields a new equation:
% 268.18/209.13 | (764) e3 = e2
% 268.18/209.13 |
% 268.18/209.13 | Equations (764) can reduce 56 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (403) ~ (all_0_33_33 = e3)
% 268.18/209.13 | (1077) all_0_38_38 = e3
% 268.18/209.13 |
% 268.18/209.13 | Combining equations (1211,1077) yields a new equation:
% 268.18/209.13 | (706) e3 = e1
% 268.18/209.13 |
% 268.18/209.13 | Equations (706) can reduce 318 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (898) ~ (all_0_29_29 = e3)
% 268.18/209.13 | (5409) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (5409), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (4103) all_0_29_29 = e2
% 268.18/209.13 |
% 268.18/209.13 | Equations (4103) can reduce 651 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (651) ~ (all_0_29_29 = e2)
% 268.18/209.13 | (5413) all_0_29_29 = e1 | all_0_29_29 = e0
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (5413), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (945) all_0_29_29 = e1
% 268.18/209.13 |
% 268.18/209.13 | Equations (945) can reduce 952 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (952) ~ (all_0_29_29 = e1)
% 268.18/209.13 | (2537) all_0_29_29 = e0
% 268.18/209.13 |
% 268.18/209.13 | Equations (2537) can reduce 383 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (886) ~ (all_0_28_28 = e0)
% 268.18/209.13 | (2537) all_0_29_29 = e0
% 268.18/209.13 |
% 268.18/209.13 | Equations (2537) can reduce 383 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (506) ~ (all_0_30_30 = e4) & ~ (all_0_31_31 = e3) & ~ (all_0_32_32 = e2) & ~ (all_0_33_33 = e1) & ~ (all_0_34_34 = e0)
% 268.18/209.13 |
% 268.18/209.13 | Applying alpha-rule on (506) yields:
% 268.18/209.13 | (507) ~ (all_0_33_33 = e1)
% 268.18/209.13 | (508) ~ (all_0_32_32 = e2)
% 268.18/209.13 | (509) ~ (all_0_30_30 = e4)
% 268.18/209.13 | (510) ~ (all_0_31_31 = e3)
% 268.18/209.13 | (384) ~ (all_0_34_34 = e0)
% 268.18/209.13 |
% 268.18/209.13 | Equations (768) can reduce 509 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (513) ~ (all_0_35_35 = e4) & ~ (all_0_36_36 = e3) & ~ (all_0_37_37 = e2) & ~ (all_0_38_38 = e1) & ~ (all_0_39_39 = e0)
% 268.18/209.13 |
% 268.18/209.13 | Applying alpha-rule on (513) yields:
% 268.18/209.13 | (514) ~ (all_0_35_35 = e4)
% 268.18/209.13 | (515) ~ (all_0_37_37 = e2)
% 268.18/209.13 | (516) ~ (all_0_36_36 = e3)
% 268.18/209.13 | (428) ~ (all_0_38_38 = e1)
% 268.18/209.13 | (518) ~ (all_0_39_39 = e0)
% 268.18/209.13 |
% 268.18/209.13 | Equations (1211) can reduce 428 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (1409) ~ (all_0_20_20 = e1)
% 268.18/209.13 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (1656), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (950) all_0_25_25 = e1
% 268.18/209.13 |
% 268.18/209.13 | Combining equations (950,3159) yields a new equation:
% 268.18/209.13 | (718) e2 = e1
% 268.18/209.13 |
% 268.18/209.13 | Equations (718) can reduce 329 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (946) ~ (all_0_25_25 = e1)
% 268.18/209.13 | (1676) all_0_30_30 = e1 | all_0_35_35 = e1
% 268.18/209.13 |
% 268.18/209.13 +-Applying beta-rule and splitting (1676), into two cases.
% 268.18/209.13 |-Branch one:
% 268.18/209.13 | (787) all_0_30_30 = e1
% 268.18/209.13 |
% 268.18/209.13 | Combining equations (768,787) yields a new equation:
% 268.18/209.13 | (955) e4 = e1
% 268.18/209.13 |
% 268.18/209.13 | Simplifying 955 yields:
% 268.18/209.13 | (480) e4 = e1
% 268.18/209.13 |
% 268.18/209.13 | Equations (480) can reduce 65 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.13 |-Branch two:
% 268.18/209.13 | (422) ~ (all_0_30_30 = e1)
% 268.18/209.13 | (1196) all_0_35_35 = e1
% 268.18/209.13 |
% 268.18/209.13 | Combining equations (1196,814) yields a new equation:
% 268.18/209.13 | (706) e3 = e1
% 268.18/209.13 |
% 268.18/209.13 | Equations (706) can reduce 318 to:
% 268.18/209.13 | (366) $false
% 268.18/209.13 |
% 268.18/209.13 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (646) ~ (all_0_25_25 = e2)
% 268.18/209.14 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (245), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (1158) all_0_25_25 = e4
% 268.18/209.14 |
% 268.18/209.14 | Equations (1158) can reduce 501 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (501) ~ (all_0_25_25 = e4)
% 268.18/209.14 | (3136) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (13669), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (2380) all_0_26_26 = e2
% 268.18/209.14 |
% 268.18/209.14 | Combining equations (1237,2380) yields a new equation:
% 268.18/209.14 | (1111) e4 = e2
% 268.18/209.14 |
% 268.18/209.14 | Simplifying 1111 yields:
% 268.18/209.14 | (539) e4 = e2
% 268.18/209.14 |
% 268.18/209.14 | Equations (539) can reduce 19 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (647) ~ (all_0_26_26 = e2)
% 268.18/209.14 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (3136), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (2438) all_0_25_25 = e3
% 268.18/209.14 |
% 268.18/209.14 | Equations (2438) can reduce 193 to:
% 268.18/209.14 | (7575) ~ (all_0_28_28 = e3)
% 268.18/209.14 |
% 268.18/209.14 | Simplifying 7575 yields:
% 268.18/209.14 | (1035) ~ (all_0_28_28 = e3)
% 268.18/209.14 |
% 268.18/209.14 | From (2438) and (49) follows:
% 268.18/209.14 | (30653) op(e3, all_0_17_17) = e4
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (13681), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (443) all_0_27_27 = e2
% 268.18/209.14 |
% 268.18/209.14 | Combining equations (543,443) yields a new equation:
% 268.18/209.14 | (718) e2 = e1
% 268.18/209.14 |
% 268.18/209.14 | Equations (718) can reduce 329 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (500) ~ (all_0_27_27 = e2)
% 268.18/209.14 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (13687), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (1037) all_0_28_28 = e2
% 268.18/209.14 |
% 268.18/209.14 | Equations (1037) can reduce 649 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (649) ~ (all_0_28_28 = e2)
% 268.18/209.14 | (4103) all_0_29_29 = e2
% 268.18/209.14 |
% 268.18/209.14 | Equations (4103) can reduce 73 to:
% 268.18/209.14 | (649) ~ (all_0_28_28 = e2)
% 268.18/209.14 |
% 268.18/209.14 | Equations (4103) can reduce 724 to:
% 268.18/209.14 | (444) ~ (e4 = e2)
% 268.18/209.14 |
% 268.18/209.14 | Simplifying 444 yields:
% 268.18/209.14 | (19) ~ (e4 = e2)
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (338), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (892) all_0_28_28 = e4
% 268.18/209.14 |
% 268.18/209.14 | Equations (892) can reduce 890 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (890) ~ (all_0_28_28 = e4)
% 268.18/209.14 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (895), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (896) all_0_28_28 = e3
% 268.18/209.14 |
% 268.18/209.14 | Equations (896) can reduce 1035 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (1035) ~ (all_0_28_28 = e3)
% 268.18/209.14 | (1036) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (1036), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (1037) all_0_28_28 = e2
% 268.18/209.14 |
% 268.18/209.14 | Equations (1037) can reduce 649 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (649) ~ (all_0_28_28 = e2)
% 268.18/209.14 | (1040) all_0_28_28 = e1 | all_0_28_28 = e0
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (1040), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (1041) all_0_28_28 = e1
% 268.18/209.14 |
% 268.18/209.14 | Equations (1041) can reduce 421 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (421) ~ (all_0_28_28 = e1)
% 268.18/209.14 | (1044) all_0_28_28 = e0
% 268.18/209.14 |
% 268.18/209.14 | Combining equations (1044,18221) yields a new equation:
% 268.18/209.14 | (30554) all_0_8_8 = e0
% 268.18/209.14 |
% 268.18/209.14 | Equations (1044) can reduce 300 to:
% 268.18/209.14 | (1156) ~ (all_0_18_18 = e0)
% 268.18/209.14 |
% 268.18/209.14 | Equations (1044) can reduce 890 to:
% 268.18/209.14 | (389) ~ (e4 = e0)
% 268.18/209.14 |
% 268.18/209.14 | Simplifying 389 yields:
% 268.18/209.14 | (287) ~ (e4 = e0)
% 268.18/209.14 |
% 268.18/209.14 +-Applying beta-rule and splitting (14993), into two cases.
% 268.18/209.14 |-Branch one:
% 268.18/209.14 | (20704) all_0_8_8 = all_0_28_28 & ~ (all_0_28_28 = e0)
% 268.18/209.14 |
% 268.18/209.14 | Applying alpha-rule on (20704) yields:
% 268.18/209.14 | (18221) all_0_8_8 = all_0_28_28
% 268.18/209.14 | (886) ~ (all_0_28_28 = e0)
% 268.18/209.14 |
% 268.18/209.14 | Combining equations (18221,30554) yields a new equation:
% 268.18/209.14 | (30689) all_0_28_28 = e0
% 268.18/209.14 |
% 268.18/209.14 | Simplifying 30689 yields:
% 268.18/209.14 | (1044) all_0_28_28 = e0
% 268.18/209.14 |
% 268.18/209.14 | Equations (1044) can reduce 886 to:
% 268.18/209.14 | (366) $false
% 268.18/209.14 |
% 268.18/209.14 |-The branch is then unsatisfiable
% 268.18/209.14 |-Branch two:
% 268.18/209.14 | (20947) all_0_8_8 = all_0_28_28 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7))
% 268.18/209.14 |
% 268.18/209.15 | Applying alpha-rule on (20947) yields:
% 268.18/209.15 | (18221) all_0_8_8 = all_0_28_28
% 268.18/209.15 | (20949) ( ~ (all_0_6_6 = e3) & op(e2, all_0_28_28) = all_0_6_6) | ( ~ (all_0_7_7 = e4) & op(all_0_28_28, all_0_28_28) = all_0_7_7)
% 268.18/209.15 |
% 268.18/209.15 | Combining equations (18221,30554) yields a new equation:
% 268.18/209.15 | (30689) all_0_28_28 = e0
% 268.18/209.15 |
% 268.18/209.15 | Simplifying 30689 yields:
% 268.18/209.15 | (1044) all_0_28_28 = e0
% 268.18/209.15 |
% 268.18/209.15 | Instantiating formula (97) with e3, e4, e4, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 268.18/209.15 | (12251) all_0_20_20 = e4 | ~ (op(e3, e4) = e4)
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (36), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (887) all_0_18_18 = e4
% 268.18/209.15 |
% 268.18/209.15 | Equations (887) can reduce 1156 to:
% 268.18/209.15 | (287) ~ (e4 = e0)
% 268.18/209.15 |
% 268.18/209.15 | From (887) and (2823) follows:
% 268.18/209.15 | (1430) op(e4, e4) = e4
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (24609), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (1431) ~ (op(e4, e4) = e4)
% 268.18/209.15 |
% 268.18/209.15 | Using (1430) and (1431) yields:
% 268.18/209.15 | (821) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (1430) op(e4, e4) = e4
% 268.18/209.15 | (490) e4 = e0
% 268.18/209.15 |
% 268.18/209.15 | Equations (490) can reduce 287 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (1046) ~ (all_0_18_18 = e4)
% 268.18/209.15 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (1051), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (1515) all_0_23_23 = e4
% 268.18/209.15 |
% 268.18/209.15 | Equations (1515) can reduce 272 to:
% 268.18/209.15 | (496) ~ (all_0_20_20 = e4)
% 268.18/209.15 |
% 268.18/209.15 | Equations (1515) can reduce 346 to:
% 268.18/209.15 | (576) ~ (all_0_22_22 = e4)
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (59), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (865) all_0_17_17 = e4
% 268.18/209.15 |
% 268.18/209.15 | From (865) and (30653) follows:
% 268.18/209.15 | (12591) op(e3, e4) = e4
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (12251), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (12592) ~ (op(e3, e4) = e4)
% 268.18/209.15 |
% 268.18/209.15 | Using (12591) and (12592) yields:
% 268.18/209.15 | (821) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (12591) op(e3, e4) = e4
% 268.18/209.15 | (1453) all_0_20_20 = e4
% 268.18/209.15 |
% 268.18/209.15 | Equations (1453) can reduce 496 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (869) ~ (all_0_17_17 = e4)
% 268.18/209.15 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (1148), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (831) all_0_22_22 = e4
% 268.18/209.15 |
% 268.18/209.15 | Equations (831) can reduce 576 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (576) ~ (all_0_22_22 = e4)
% 268.18/209.15 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (1152), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (435) all_0_27_27 = e4
% 268.18/209.15 |
% 268.18/209.15 | Combining equations (543,435) yields a new equation:
% 268.18/209.15 | (480) e4 = e1
% 268.18/209.15 |
% 268.18/209.15 | Equations (480) can reduce 65 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (404) ~ (all_0_27_27 = e4)
% 268.18/209.15 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (1222), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (1229) all_0_32_32 = e4
% 268.18/209.15 |
% 268.18/209.15 | Equations (1229) can reduce 727 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (727) ~ (all_0_32_32 = e4)
% 268.18/209.15 | (1232) all_0_37_37 = e4
% 268.18/209.15 |
% 268.18/209.15 | Equations (1232) can reduce 2658 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (578) ~ (all_0_23_23 = e4)
% 268.18/209.15 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (1518), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (892) all_0_28_28 = e4
% 268.18/209.15 |
% 268.18/209.15 | Combining equations (1044,892) yields a new equation:
% 268.18/209.15 | (490) e4 = e0
% 268.18/209.15 |
% 268.18/209.15 | Equations (490) can reduce 287 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (890) ~ (all_0_28_28 = e4)
% 268.18/209.15 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (1522), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (406) all_0_33_33 = e4
% 268.18/209.15 |
% 268.18/209.15 | Combining equations (414,406) yields a new equation:
% 268.18/209.15 | (539) e4 = e2
% 268.18/209.15 |
% 268.18/209.15 | Equations (539) can reduce 19 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (405) ~ (all_0_33_33 = e4)
% 268.18/209.15 | (1165) all_0_38_38 = e4
% 268.18/209.15 |
% 268.18/209.15 | Equations (1165) can reduce 1143 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (566) ~ (all_0_25_25 = e3)
% 268.18/209.15 | (3158) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 268.18/209.15 |
% 268.18/209.15 +-Applying beta-rule and splitting (3158), into two cases.
% 268.18/209.15 |-Branch one:
% 268.18/209.15 | (3159) all_0_25_25 = e2
% 268.18/209.15 |
% 268.18/209.15 | Equations (3159) can reduce 646 to:
% 268.18/209.15 | (366) $false
% 268.18/209.15 |
% 268.18/209.15 |-The branch is then unsatisfiable
% 268.18/209.15 |-Branch two:
% 268.18/209.15 | (646) ~ (all_0_25_25 = e2)
% 268.18/209.16 | (3162) all_0_25_25 = e1 | all_0_25_25 = e0
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (3162), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (950) all_0_25_25 = e1
% 268.18/209.16 |
% 268.18/209.16 | Equations (950) can reduce 946 to:
% 268.18/209.16 | (366) $false
% 268.18/209.16 |
% 268.18/209.16 |-The branch is then unsatisfiable
% 268.18/209.16 |-Branch two:
% 268.18/209.16 | (946) ~ (all_0_25_25 = e1)
% 268.18/209.16 | (1921) all_0_25_25 = e0
% 268.18/209.16 |
% 268.18/209.16 | Equations (1921) can reduce 1925 to:
% 268.18/209.16 | (366) $false
% 268.18/209.16 |
% 268.18/209.16 |-The branch is then unsatisfiable
% 268.18/209.16 |-Branch two:
% 268.18/209.16 | (23723) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 268.18/209.16 |
% 268.18/209.16 | Applying alpha-rule on (23723) yields:
% 268.18/209.16 | (20681) all_0_5_5 = all_0_32_32
% 268.18/209.16 | (23725) ( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 268.18/209.16 |
% 268.18/209.16 | Instantiating formula (97) with e4, e4, e4, e0 and discharging atoms op(e4, e4) = e0, yields:
% 268.18/209.16 | (24609) e4 = e0 | ~ (op(e4, e4) = e4)
% 268.18/209.16 |
% 268.18/209.16 | Instantiating formula (97) with e4, e3, e4, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 268.18/209.16 | (25618) all_0_16_16 = e4 | ~ (op(e4, e3) = e4)
% 268.18/209.16 |
% 268.18/209.16 | Instantiating formula (97) with e1, e4, e4, e1 and discharging atoms op(e1, e4) = e4, yields:
% 268.18/209.16 | (18410) e4 = e1 | ~ (op(e1, e4) = e1)
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (115), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (1446) all_0_31_31 = e4
% 268.18/209.16 |
% 268.18/209.16 | Equations (1446) can reduce 584 to:
% 268.18/209.16 | (366) $false
% 268.18/209.16 |
% 268.18/209.16 |-The branch is then unsatisfiable
% 268.18/209.16 |-Branch two:
% 268.18/209.16 | (584) ~ (all_0_31_31 = e4)
% 268.18/209.16 | (1631) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (340), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (697) all_0_16_16 = e2
% 268.18/209.16 |
% 268.18/209.16 | Equations (697) can reduce 169 to:
% 268.18/209.16 | (7439) ~ (all_0_17_17 = e2)
% 268.18/209.16 |
% 268.18/209.16 | Simplifying 7439 yields:
% 268.18/209.16 | (459) ~ (all_0_17_17 = e2)
% 268.18/209.16 |
% 268.18/209.16 | Equations (697) can reduce 9 to:
% 268.18/209.16 | (7441) ~ (all_0_18_18 = e2)
% 268.18/209.16 |
% 268.18/209.16 | Simplifying 7441 yields:
% 268.18/209.16 | (666) ~ (all_0_18_18 = e2)
% 268.18/209.16 |
% 268.18/209.16 | Equations (697) can reduce 573 to:
% 268.18/209.16 | (444) ~ (e4 = e2)
% 268.18/209.16 |
% 268.18/209.16 | Simplifying 444 yields:
% 268.18/209.16 | (19) ~ (e4 = e2)
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (36), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (887) all_0_18_18 = e4
% 268.18/209.16 |
% 268.18/209.16 | Equations (887) can reduce 1156 to:
% 268.18/209.16 | (287) ~ (e4 = e0)
% 268.18/209.16 |
% 268.18/209.16 | From (887) and (2823) follows:
% 268.18/209.16 | (1430) op(e4, e4) = e4
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (24609), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (1431) ~ (op(e4, e4) = e4)
% 268.18/209.16 |
% 268.18/209.16 | Using (1430) and (1431) yields:
% 268.18/209.16 | (821) $false
% 268.18/209.16 |
% 268.18/209.16 |-The branch is then unsatisfiable
% 268.18/209.16 |-Branch two:
% 268.18/209.16 | (1430) op(e4, e4) = e4
% 268.18/209.16 | (490) e4 = e0
% 268.18/209.16 |
% 268.18/209.16 | Equations (490) can reduce 287 to:
% 268.18/209.16 | (366) $false
% 268.18/209.16 |
% 268.18/209.16 |-The branch is then unsatisfiable
% 268.18/209.16 |-Branch two:
% 268.18/209.16 | (1046) ~ (all_0_18_18 = e4)
% 268.18/209.16 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (694), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (701) all_0_16_16 = e4
% 268.18/209.16 |
% 268.18/209.16 | Combining equations (701,697) yields a new equation:
% 268.18/209.16 | (1111) e4 = e2
% 268.18/209.16 |
% 268.18/209.16 | Simplifying 1111 yields:
% 268.18/209.16 | (539) e4 = e2
% 268.18/209.16 |
% 268.18/209.16 | Equations (539) can reduce 19 to:
% 268.18/209.16 | (366) $false
% 268.18/209.16 |
% 268.18/209.16 |-The branch is then unsatisfiable
% 268.18/209.16 |-Branch two:
% 268.18/209.16 | (573) ~ (all_0_16_16 = e4)
% 268.18/209.16 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (864), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (865) all_0_17_17 = e4
% 268.18/209.16 |
% 268.18/209.16 | Equations (865) can reduce 459 to:
% 268.18/209.16 | (19) ~ (e4 = e2)
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (1051), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (1515) all_0_23_23 = e4
% 268.18/209.16 |
% 268.18/209.16 | Equations (1515) can reduce 110 to:
% 268.18/209.16 | (1046) ~ (all_0_18_18 = e4)
% 268.18/209.16 |
% 268.18/209.16 | Equations (1515) can reduce 810 to:
% 268.18/209.16 | (19) ~ (e4 = e2)
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (259), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (1278) all_0_18_18 = e1
% 268.18/209.16 |
% 268.18/209.16 | Equations (1278) can reduce 1046 to:
% 268.18/209.16 | (477) ~ (e4 = e1)
% 268.18/209.16 |
% 268.18/209.16 | Simplifying 477 yields:
% 268.18/209.16 | (65) ~ (e4 = e1)
% 268.18/209.16 |
% 268.18/209.16 | From (1278) and (26221) follows:
% 268.18/209.16 | (18405) op(e1, e4) = e1
% 268.18/209.16 |
% 268.18/209.16 +-Applying beta-rule and splitting (18410), into two cases.
% 268.18/209.16 |-Branch one:
% 268.18/209.16 | (18411) ~ (op(e1, e4) = e1)
% 268.18/209.16 |
% 268.18/209.16 | Using (18405) and (18411) yields:
% 268.18/209.16 | (821) $false
% 268.18/209.16 |
% 268.18/209.16 |-The branch is then unsatisfiable
% 268.18/209.16 |-Branch two:
% 268.18/209.16 | (18405) op(e1, e4) = e1
% 268.18/209.16 | (480) e4 = e1
% 268.18/209.16 |
% 268.18/209.16 | Equations (480) can reduce 65 to:
% 268.18/209.16 | (366) $false
% 268.18/209.16 |
% 268.18/209.16 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (419) ~ (all_0_18_18 = e1)
% 268.18/209.17 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (26), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (887) all_0_18_18 = e4
% 268.18/209.17 |
% 268.18/209.17 | Equations (887) can reduce 1046 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (1046) ~ (all_0_18_18 = e4)
% 268.18/209.17 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1047), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (1134) all_0_18_18 = e3
% 268.18/209.17 |
% 268.18/209.17 | From (1134) and (2823) follows:
% 268.18/209.17 | (9409) op(e4, e3) = e4
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (25618), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (9410) ~ (op(e4, e3) = e4)
% 268.18/209.17 |
% 268.18/209.17 | Using (9409) and (9410) yields:
% 268.18/209.17 | (821) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (9409) op(e4, e3) = e4
% 268.18/209.17 | (701) all_0_16_16 = e4
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (701,697) yields a new equation:
% 268.18/209.17 | (1111) e4 = e2
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 1111 yields:
% 268.18/209.17 | (539) e4 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (539) can reduce 19 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (560) ~ (all_0_18_18 = e3)
% 268.18/209.17 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1270), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (1274) all_0_18_18 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (1274) can reduce 666 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (666) ~ (all_0_18_18 = e2)
% 268.18/209.17 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1277), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (1278) all_0_18_18 = e1
% 268.18/209.17 |
% 268.18/209.17 | Equations (1278) can reduce 419 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (419) ~ (all_0_18_18 = e1)
% 268.18/209.17 | (1153) all_0_18_18 = e0
% 268.18/209.17 |
% 268.18/209.17 | Equations (1153) can reduce 1156 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (578) ~ (all_0_23_23 = e4)
% 268.18/209.17 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1518), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (892) all_0_28_28 = e4
% 268.18/209.17 |
% 268.18/209.17 | Equations (892) can reduce 890 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (890) ~ (all_0_28_28 = e4)
% 268.18/209.17 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1522), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (406) all_0_33_33 = e4
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (406,414) yields a new equation:
% 268.18/209.17 | (1111) e4 = e2
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 1111 yields:
% 268.18/209.17 | (539) e4 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (539) can reduce 19 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (405) ~ (all_0_33_33 = e4)
% 268.18/209.17 | (1165) all_0_38_38 = e4
% 268.18/209.17 |
% 268.18/209.17 | Equations (1165) can reduce 1143 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (869) ~ (all_0_17_17 = e4)
% 268.18/209.17 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (870), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (887) all_0_18_18 = e4
% 268.18/209.17 |
% 268.18/209.17 | Equations (887) can reduce 1046 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (1046) ~ (all_0_18_18 = e4)
% 268.18/209.17 | (711) all_0_19_19 = e4
% 268.18/209.17 |
% 268.18/209.17 | Equations (711) can reduce 714 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (664) ~ (all_0_16_16 = e2)
% 268.18/209.17 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (700), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (522) all_0_21_21 = e2
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (522,453) yields a new equation:
% 268.18/209.17 | (764) e3 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (764) can reduce 56 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (361) ~ (all_0_21_21 = e2)
% 268.18/209.17 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (704), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (1287) all_0_16_16 = e3
% 268.18/209.17 |
% 268.18/209.17 | Equations (1287) can reduce 458 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (458) ~ (all_0_16_16 = e3)
% 268.18/209.17 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1290), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (697) all_0_16_16 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (697) can reduce 664 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (664) ~ (all_0_16_16 = e2)
% 268.18/209.17 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1377), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (921) all_0_16_16 = e1
% 268.18/209.17 |
% 268.18/209.17 | Equations (921) can reduce 10 to:
% 268.18/209.17 | (1613) ~ (all_0_31_31 = e1)
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 1613 yields:
% 268.18/209.17 | (423) ~ (all_0_31_31 = e1)
% 268.18/209.17 |
% 268.18/209.17 | Equations (921) can reduce 573 to:
% 268.18/209.17 | (477) ~ (e4 = e1)
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 477 yields:
% 268.18/209.17 | (65) ~ (e4 = e1)
% 268.18/209.17 |
% 268.18/209.17 | Equations (921) can reduce 458 to:
% 268.18/209.17 | (429) ~ (e3 = e1)
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 429 yields:
% 268.18/209.17 | (318) ~ (e3 = e1)
% 268.18/209.17 |
% 268.18/209.17 | Equations (921) can reduce 664 to:
% 268.18/209.17 | (1002) ~ (e2 = e1)
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 1002 yields:
% 268.18/209.17 | (329) ~ (e2 = e1)
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1631), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (763) all_0_31_31 = e3
% 268.18/209.17 |
% 268.18/209.17 | Equations (763) can reduce 510 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (510) ~ (all_0_31_31 = e3)
% 268.18/209.17 | (1635) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (159), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (787) all_0_30_30 = e1
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (787,768) yields a new equation:
% 268.18/209.17 | (480) e4 = e1
% 268.18/209.17 |
% 268.18/209.17 | Equations (480) can reduce 65 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (422) ~ (all_0_30_30 = e1)
% 268.18/209.17 | (5570) all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1635), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (751) all_0_31_31 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (751) can reduce 1099 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (1099) ~ (all_0_31_31 = e2)
% 268.18/209.17 | (1639) all_0_31_31 = e1 | all_0_31_31 = e0
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (5570), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (1010) all_0_31_31 = e1
% 268.18/209.17 |
% 268.18/209.17 | Equations (1010) can reduce 423 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (423) ~ (all_0_31_31 = e1)
% 268.18/209.17 | (5940) all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (5940), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (1587) all_0_32_32 = e1
% 268.18/209.17 |
% 268.18/209.17 | Equations (1587) can reduce 424 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (424) ~ (all_0_32_32 = e1)
% 268.18/209.17 | (5953) all_0_33_33 = e1 | all_0_34_34 = e1
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (5953), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (418) all_0_33_33 = e1
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (414,418) yields a new equation:
% 268.18/209.17 | (717) e2 = e1
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 717 yields:
% 268.18/209.17 | (718) e2 = e1
% 268.18/209.17 |
% 268.18/209.17 | Equations (718) can reduce 329 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (507) ~ (all_0_33_33 = e1)
% 268.18/209.17 | (954) all_0_34_34 = e1
% 268.18/209.17 |
% 268.18/209.17 | Equations (954) can reduce 188 to:
% 268.18/209.17 | (423) ~ (all_0_31_31 = e1)
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (155), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (759) all_0_30_30 = e3
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (768,759) yields a new equation:
% 268.18/209.17 | (690) e4 = e3
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 690 yields:
% 268.18/209.17 | (691) e4 = e3
% 268.18/209.17 |
% 268.18/209.17 | Equations (691) can reduce 277 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (568) ~ (all_0_30_30 = e3)
% 268.18/209.17 | (762) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (2289), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (2380) all_0_26_26 = e2
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (1237,2380) yields a new equation:
% 268.18/209.17 | (1111) e4 = e2
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 1111 yields:
% 268.18/209.17 | (539) e4 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (539) can reduce 19 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (647) ~ (all_0_26_26 = e2)
% 268.18/209.17 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (2383), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (751) all_0_31_31 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (751) can reduce 1099 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (1099) ~ (all_0_31_31 = e2)
% 268.18/209.17 | (801) all_0_36_36 = e2
% 268.18/209.17 |
% 268.18/209.17 | Equations (801) can reduce 516 to:
% 268.18/209.17 | (658) ~ (e3 = e2)
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 658 yields:
% 268.18/209.17 | (56) ~ (e3 = e2)
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (1639), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (1010) all_0_31_31 = e1
% 268.18/209.17 |
% 268.18/209.17 | Equations (1010) can reduce 423 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (423) ~ (all_0_31_31 = e1)
% 268.18/209.17 | (1060) all_0_31_31 = e0
% 268.18/209.17 |
% 268.18/209.17 | Equations (1060) can reduce 510 to:
% 268.18/209.17 | (391) ~ (e3 = e0)
% 268.18/209.17 |
% 268.18/209.17 | Simplifying 391 yields:
% 268.18/209.17 | (88) ~ (e3 = e0)
% 268.18/209.17 |
% 268.18/209.17 | From (1060) and (131) follows:
% 268.18/209.17 | (13958) op(e1, e3) = e0
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (762), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (763) all_0_31_31 = e3
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (1060,763) yields a new equation:
% 268.18/209.17 | (980) e3 = e0
% 268.18/209.17 |
% 268.18/209.17 | Equations (980) can reduce 88 to:
% 268.18/209.17 | (366) $false
% 268.18/209.17 |
% 268.18/209.17 |-The branch is then unsatisfiable
% 268.18/209.17 |-Branch two:
% 268.18/209.17 | (510) ~ (all_0_31_31 = e3)
% 268.18/209.17 | (767) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 268.18/209.17 |
% 268.18/209.17 +-Applying beta-rule and splitting (767), into two cases.
% 268.18/209.17 |-Branch one:
% 268.18/209.17 | (772) all_0_32_32 = e3
% 268.18/209.17 |
% 268.18/209.17 | Combining equations (772,20681) yields a new equation:
% 268.18/209.17 | (8806) all_0_5_5 = e3
% 268.18/209.17 |
% 268.18/209.18 +-Applying beta-rule and splitting (14957), into two cases.
% 268.18/209.18 |-Branch one:
% 268.18/209.18 | (21915) all_0_5_5 = all_0_32_32 & ~ (all_0_32_32 = e3)
% 268.18/209.18 |
% 268.18/209.18 | Applying alpha-rule on (21915) yields:
% 268.18/209.18 | (20681) all_0_5_5 = all_0_32_32
% 268.18/209.18 | (1089) ~ (all_0_32_32 = e3)
% 268.18/209.18 |
% 268.18/209.18 | Combining equations (20681,8806) yields a new equation:
% 268.18/209.18 | (21918) all_0_32_32 = e3
% 268.18/209.18 |
% 268.18/209.18 | Simplifying 21918 yields:
% 268.18/209.18 | (772) all_0_32_32 = e3
% 268.18/209.18 |
% 268.18/209.18 | Equations (772) can reduce 1089 to:
% 268.18/209.18 | (366) $false
% 268.18/209.18 |
% 268.18/209.18 |-The branch is then unsatisfiable
% 268.18/209.18 |-Branch two:
% 268.18/209.18 | (21921) all_0_5_5 = all_0_32_32 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4))
% 268.18/209.18 |
% 268.18/209.18 | Applying alpha-rule on (21921) yields:
% 268.18/209.18 | (20681) all_0_5_5 = all_0_32_32
% 268.18/209.18 | (21923) ( ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_32_32, all_0_32_32) = all_0_4_4)
% 268.18/209.18 |
% 268.18/209.18 | Combining equations (20681,8806) yields a new equation:
% 268.18/209.18 | (21918) all_0_32_32 = e3
% 268.18/209.18 |
% 268.18/209.18 | Simplifying 21918 yields:
% 268.18/209.18 | (772) all_0_32_32 = e3
% 268.18/209.18 |
% 268.18/209.18 +-Applying beta-rule and splitting (23725), into two cases.
% 268.18/209.18 |-Branch one:
% 268.18/209.18 | (23728) ~ (all_0_3_3 = e0) & op(e1, all_0_32_32) = all_0_3_3
% 268.18/209.18 |
% 268.18/209.18 | Applying alpha-rule on (23728) yields:
% 268.18/209.18 | (23729) ~ (all_0_3_3 = e0)
% 268.18/209.18 | (23730) op(e1, all_0_32_32) = all_0_3_3
% 268.18/209.18 |
% 268.18/209.18 | From (772) and (23730) follows:
% 268.18/209.18 | (30299) op(e1, e3) = all_0_3_3
% 268.18/209.18 |
% 268.18/209.18 | Instantiating formula (97) with e1, e3, all_0_3_3, e0 and discharging atoms op(e1, e3) = all_0_3_3, op(e1, e3) = e0, yields:
% 268.18/209.19 | (30300) all_0_3_3 = e0
% 268.18/209.19 |
% 268.18/209.19 | Equations (30300) can reduce 23729 to:
% 268.18/209.19 | (366) $false
% 268.18/209.19 |
% 268.18/209.19 |-The branch is then unsatisfiable
% 268.18/209.19 |-Branch two:
% 268.18/209.19 | (23783) ~ (all_0_4_4 = e3) & op(all_0_32_32, all_0_32_32) = all_0_4_4
% 268.18/209.19 |
% 268.18/209.19 | Applying alpha-rule on (23783) yields:
% 268.18/209.19 | (23784) ~ (all_0_4_4 = e3)
% 268.18/209.19 | (23785) op(all_0_32_32, all_0_32_32) = all_0_4_4
% 268.18/209.19 |
% 268.18/209.19 | From (772)(772) and (23785) follows:
% 268.18/209.19 | (30305) op(e3, e3) = all_0_4_4
% 268.18/209.19 |
% 268.18/209.19 | Instantiating formula (97) with e3, e3, all_0_4_4, e3 and discharging atoms op(e3, e3) = all_0_4_4, op(e3, e3) = e3, yields:
% 268.18/209.19 | (23787) all_0_4_4 = e3
% 268.18/209.19 |
% 268.18/209.19 | Equations (23787) can reduce 23784 to:
% 268.18/209.19 | (366) $false
% 268.18/209.19 |
% 268.18/209.19 |-The branch is then unsatisfiable
% 268.18/209.19 |-Branch two:
% 268.18/209.19 | (1089) ~ (all_0_32_32 = e3)
% 268.18/209.19 | (1090) all_0_33_33 = e3 | all_0_34_34 = e3
% 268.18/209.19 |
% 268.18/209.19 +-Applying beta-rule and splitting (1090), into two cases.
% 268.18/209.19 |-Branch one:
% 268.18/209.19 | (410) all_0_33_33 = e3
% 268.18/209.19 |
% 268.18/209.19 | Combining equations (414,410) yields a new equation:
% 268.18/209.19 | (764) e3 = e2
% 268.18/209.19 |
% 268.18/209.19 | Equations (764) can reduce 56 to:
% 268.18/209.19 | (366) $false
% 268.18/209.19 |
% 268.18/209.19 |-The branch is then unsatisfiable
% 268.18/209.19 |-Branch two:
% 268.18/209.19 | (403) ~ (all_0_33_33 = e3)
% 268.18/209.19 | (1027) all_0_34_34 = e3
% 268.18/209.19 |
% 268.18/209.19 | Combining equations (954,1027) yields a new equation:
% 268.18/209.19 | (706) e3 = e1
% 268.18/209.19 |
% 268.18/209.19 | Equations (706) can reduce 318 to:
% 268.18/209.19 | (366) $false
% 268.18/209.19 |
% 268.18/209.19 |-The branch is then unsatisfiable
% 268.18/209.19 |-Branch two:
% 268.18/209.19 | (985) ~ (all_0_16_16 = e1)
% 268.18/209.19 | (873) all_0_16_16 = e0
% 268.18/209.19 |
% 268.18/209.19 | Equations (873) can reduce 824 to:
% 268.18/209.19 | (366) $false
% 268.18/209.19 |
% 268.18/209.19 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (509) ~ (all_0_30_30 = e4)
% 268.18/209.20 | (1161) all_0_35_35 = e4
% 268.18/209.20 |
% 268.18/209.20 | Equations (1161) can reduce 514 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (582) ~ (all_0_26_26 = e4)
% 268.18/209.20 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (6243), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (449) all_0_21_21 = e4
% 268.18/209.20 |
% 268.18/209.20 | Combining equations (449,453) yields a new equation:
% 268.18/209.20 | (690) e4 = e3
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 690 yields:
% 268.18/209.20 | (691) e4 = e3
% 268.18/209.20 |
% 268.18/209.20 | Equations (691) can reduce 277 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (448) ~ (all_0_21_21 = e4)
% 268.18/209.20 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (6248), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (1237) all_0_26_26 = e4
% 268.18/209.20 |
% 268.18/209.20 | Equations (1237) can reduce 582 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (582) ~ (all_0_26_26 = e4)
% 268.18/209.20 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (6263), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (1446) all_0_31_31 = e4
% 268.18/209.20 |
% 268.18/209.20 | Equations (1446) can reduce 10 to:
% 268.18/209.20 | (573) ~ (all_0_16_16 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (1446) can reduce 217 to:
% 268.18/209.20 | (509) ~ (all_0_30_30 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (1446) can reduce 247 to:
% 268.18/209.20 | (1495) ~ (all_0_32_32 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 1495 yields:
% 268.18/209.20 | (727) ~ (all_0_32_32 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (1446) can reduce 1099 to:
% 268.18/209.20 | (19) ~ (e4 = e2)
% 268.18/209.20 |
% 268.18/209.20 | From (1446) and (301) follows:
% 268.18/209.20 | (10551) op(e4, all_0_23_23) = e3
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (914), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (1453) all_0_20_20 = e4
% 268.18/209.20 |
% 268.18/209.20 | Equations (1453) can reduce 496 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (496) ~ (all_0_20_20 = e4)
% 268.18/209.20 | (1456) all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (1456), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (1158) all_0_25_25 = e4
% 268.18/209.20 |
% 268.18/209.20 | Equations (1158) can reduce 193 to:
% 268.18/209.20 | (889) ~ (all_0_28_28 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 889 yields:
% 268.18/209.20 | (890) ~ (all_0_28_28 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (1158) can reduce 946 to:
% 268.18/209.20 | (65) ~ (e4 = e1)
% 268.18/209.20 |
% 268.18/209.20 | From (1158) and (49) follows:
% 268.18/209.20 | (1820) op(e4, all_0_17_17) = e4
% 268.18/209.20 |
% 268.18/209.20 | From (1158) and (233) follows:
% 268.18/209.20 | (3199) op(e2, e4) = e4
% 268.18/209.20 |
% 268.18/209.20 | Instantiating formula (97) with e4, e4, e4, e0 and discharging atoms op(e4, e4) = e0, yields:
% 268.18/209.20 | (24609) e4 = e0 | ~ (op(e4, e4) = e4)
% 268.18/209.20 |
% 268.18/209.20 | Instantiating formula (97) with e4, e0, e3, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 268.18/209.20 | (6529) all_0_19_19 = e3 | ~ (op(e4, e0) = e3)
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (36), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (887) all_0_18_18 = e4
% 268.18/209.20 |
% 268.18/209.20 | Equations (887) can reduce 74 to:
% 268.18/209.20 | (869) ~ (all_0_17_17 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (887) can reduce 337 to:
% 268.18/209.20 | (6514) ~ (all_0_19_19 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 6514 yields:
% 268.18/209.20 | (714) ~ (all_0_19_19 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (887) can reduce 666 to:
% 268.18/209.20 | (19) ~ (e4 = e2)
% 268.18/209.20 |
% 268.18/209.20 | Equations (887) can reduce 1156 to:
% 268.18/209.20 | (287) ~ (e4 = e0)
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (59), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (865) all_0_17_17 = e4
% 268.18/209.20 |
% 268.18/209.20 | Equations (865) can reduce 869 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (869) ~ (all_0_17_17 = e4)
% 268.18/209.20 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (1148), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (831) all_0_22_22 = e4
% 268.18/209.20 |
% 268.18/209.20 | Equations (831) can reduce 184 to:
% 268.18/209.20 | (869) ~ (all_0_17_17 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (831) can reduce 211 to:
% 268.18/209.20 | (496) ~ (all_0_20_20 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (831) can reduce 268 to:
% 268.18/209.20 | (579) ~ (all_0_24_24 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 579 yields:
% 268.18/209.20 | (580) ~ (all_0_24_24 = e4)
% 268.18/209.20 |
% 268.18/209.20 | Equations (831) can reduce 774 to:
% 268.18/209.20 | (277) ~ (e4 = e3)
% 268.18/209.20 |
% 268.18/209.20 | From (831) and (234) follows:
% 268.18/209.20 | (7529) op(e4, all_0_26_26) = e2
% 268.18/209.20 |
% 268.18/209.20 | From (831) and (147) follows:
% 268.18/209.20 | (25574) op(all_0_26_26, e4) = e3
% 268.18/209.20 |
% 268.18/209.20 | Instantiating formula (97) with e2, e4, e3, e4 and discharging atoms op(e2, e4) = e4, yields:
% 268.18/209.20 | (31022) e4 = e3 | ~ (op(e2, e4) = e3)
% 268.18/209.20 |
% 268.18/209.20 | Instantiating formula (97) with e4, e0, e2, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 268.18/209.20 | (21452) all_0_19_19 = e2 | ~ (op(e4, e0) = e2)
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (279), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (873) all_0_16_16 = e0
% 268.18/209.20 |
% 268.18/209.20 | Equations (873) can reduce 824 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (824) ~ (all_0_16_16 = e0)
% 268.18/209.20 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (168), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (2438) all_0_25_25 = e3
% 268.18/209.20 |
% 268.18/209.20 | Combining equations (1158,2438) yields a new equation:
% 268.18/209.20 | (690) e4 = e3
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 690 yields:
% 268.18/209.20 | (691) e4 = e3
% 268.18/209.20 |
% 268.18/209.20 | Equations (691) can reduce 277 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (566) ~ (all_0_25_25 = e3)
% 268.18/209.20 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (72), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (468) all_0_15_15 = e3
% 268.18/209.20 |
% 268.18/209.20 | Combining equations (468,483) yields a new equation:
% 268.18/209.20 | (979) e3 = e0
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 979 yields:
% 268.18/209.20 | (980) e3 = e0
% 268.18/209.20 |
% 268.18/209.20 | Equations (980) can reduce 88 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (433) ~ (all_0_15_15 = e3)
% 268.18/209.20 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 268.18/209.20 |
% 268.18/209.20 | Equations (483) can reduce 433 to:
% 268.18/209.20 | (391) ~ (e3 = e0)
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 391 yields:
% 268.18/209.20 | (88) ~ (e3 = e0)
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (111), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (468) all_0_15_15 = e3
% 268.18/209.20 |
% 268.18/209.20 | Combining equations (468,483) yields a new equation:
% 268.18/209.20 | (979) e3 = e0
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 979 yields:
% 268.18/209.20 | (980) e3 = e0
% 268.18/209.20 |
% 268.18/209.20 | Equations (980) can reduce 88 to:
% 268.18/209.20 | (366) $false
% 268.18/209.20 |
% 268.18/209.20 |-The branch is then unsatisfiable
% 268.18/209.20 |-Branch two:
% 268.18/209.20 | (433) ~ (all_0_15_15 = e3)
% 268.18/209.20 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 268.18/209.20 |
% 268.18/209.20 | Equations (483) can reduce 433 to:
% 268.18/209.20 | (391) ~ (e3 = e0)
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 391 yields:
% 268.18/209.20 | (88) ~ (e3 = e0)
% 268.18/209.20 |
% 268.18/209.20 +-Applying beta-rule and splitting (51), into two cases.
% 268.18/209.20 |-Branch one:
% 268.18/209.20 | (736) all_0_20_20 = e2
% 268.18/209.20 |
% 268.18/209.20 | Equations (736) can reduce 167 to:
% 268.18/209.20 | (667) ~ (all_0_24_24 = e2)
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 667 yields:
% 268.18/209.20 | (668) ~ (all_0_24_24 = e2)
% 268.18/209.20 |
% 268.18/209.20 | Equations (736) can reduce 496 to:
% 268.18/209.20 | (444) ~ (e4 = e2)
% 268.18/209.20 |
% 268.18/209.20 | Simplifying 444 yields:
% 268.18/209.20 | (19) ~ (e4 = e2)
% 268.18/209.20 |
% 268.18/209.20 | From (736) and (124) follows:
% 268.18/209.21 | (31055) op(all_0_16_16, e2) = e3
% 268.18/209.21 |
% 268.18/209.21 | Instantiating formula (97) with e1, e2, e3, all_0_32_32 and discharging atoms op(e1, e2) = all_0_32_32, yields:
% 268.30/209.21 | (31056) all_0_32_32 = e3 | ~ (op(e1, e2) = e3)
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (192), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (663) all_0_19_19 = e2
% 268.30/209.21 |
% 268.30/209.21 | Equations (663) can reduce 236 to:
% 268.30/209.21 | (664) ~ (all_0_16_16 = e2)
% 268.30/209.21 |
% 268.30/209.21 | Equations (663) can reduce 333 to:
% 268.30/209.21 | (459) ~ (all_0_17_17 = e2)
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (7544), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (1287) all_0_16_16 = e3
% 268.30/209.21 |
% 268.30/209.21 | Equations (1287) can reduce 458 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (458) ~ (all_0_16_16 = e3)
% 268.30/209.21 | (7699) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (704), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (1287) all_0_16_16 = e3
% 268.30/209.21 |
% 268.30/209.21 | Equations (1287) can reduce 458 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (458) ~ (all_0_16_16 = e3)
% 268.30/209.21 | (1290) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (240), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (865) all_0_17_17 = e4
% 268.30/209.21 |
% 268.30/209.21 | Equations (865) can reduce 869 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (869) ~ (all_0_17_17 = e4)
% 268.30/209.21 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (203), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (1980) all_0_17_17 = e2
% 268.30/209.21 |
% 268.30/209.21 | Equations (1980) can reduce 459 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (459) ~ (all_0_17_17 = e2)
% 268.30/209.21 | (15439) all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (7699), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (1970) all_0_17_17 = e3
% 268.30/209.21 |
% 268.30/209.21 | Equations (1970) can reduce 286 to:
% 268.30/209.21 | (6619) ~ (all_0_32_32 = e3)
% 268.30/209.21 |
% 268.30/209.21 | Simplifying 6619 yields:
% 268.30/209.21 | (1089) ~ (all_0_32_32 = e3)
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (1290), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (697) all_0_16_16 = e2
% 268.30/209.21 |
% 268.30/209.21 | Equations (697) can reduce 664 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (664) ~ (all_0_16_16 = e2)
% 268.30/209.21 | (1377) all_0_16_16 = e1 | all_0_16_16 = e0
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (1377), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (921) all_0_16_16 = e1
% 268.30/209.21 |
% 268.30/209.21 | From (921) and (31055) follows:
% 268.30/209.21 | (31084) op(e1, e2) = e3
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (31056), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (31085) ~ (op(e1, e2) = e3)
% 268.30/209.21 |
% 268.30/209.21 | Using (31084) and (31085) yields:
% 268.30/209.21 | (821) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (31084) op(e1, e2) = e3
% 268.30/209.21 | (772) all_0_32_32 = e3
% 268.30/209.21 |
% 268.30/209.21 | Equations (772) can reduce 1089 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (985) ~ (all_0_16_16 = e1)
% 268.30/209.21 | (873) all_0_16_16 = e0
% 268.30/209.21 |
% 268.30/209.21 | Equations (873) can reduce 824 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (558) ~ (all_0_17_17 = e3)
% 268.30/209.21 | (7722) all_0_18_18 = e3 | all_0_19_19 = e3
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (1961), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (1970) all_0_17_17 = e3
% 268.30/209.21 |
% 268.30/209.21 | Equations (1970) can reduce 558 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (558) ~ (all_0_17_17 = e3)
% 268.30/209.21 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (1979), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (1980) all_0_17_17 = e2
% 268.30/209.21 |
% 268.30/209.21 | Equations (1980) can reduce 459 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (459) ~ (all_0_17_17 = e2)
% 268.30/209.21 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 268.30/209.21 |
% 268.30/209.21 +-Applying beta-rule and splitting (1983), into two cases.
% 268.30/209.21 |-Branch one:
% 268.30/209.21 | (1498) all_0_17_17 = e1
% 268.30/209.21 |
% 268.30/209.21 | Equations (1498) can reduce 1501 to:
% 268.30/209.21 | (366) $false
% 268.30/209.21 |
% 268.30/209.21 |-The branch is then unsatisfiable
% 268.30/209.21 |-Branch two:
% 268.30/209.21 | (1501) ~ (all_0_17_17 = e1)
% 268.30/209.21 | (823) all_0_17_17 = e0
% 268.30/209.21 |
% 268.30/209.22 | Equations (823) can reduce 2422 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (2785) ~ (all_0_19_19 = e2)
% 268.30/209.22 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (2786), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (1393) all_0_24_24 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (1393) can reduce 668 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (668) ~ (all_0_24_24 = e2)
% 268.30/209.22 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (4102), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (4103) all_0_29_29 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (4103) can reduce 229 to:
% 268.30/209.22 | (2785) ~ (all_0_19_19 = e2)
% 268.30/209.22 |
% 268.30/209.22 | Equations (4103) can reduce 38 to:
% 268.30/209.22 | (647) ~ (all_0_26_26 = e2)
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (2442), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (2443) all_0_26_26 = e3
% 268.30/209.22 |
% 268.30/209.22 | Equations (2443) can reduce 504 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (504) ~ (all_0_26_26 = e3)
% 268.30/209.22 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (5353), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (2443) all_0_26_26 = e3
% 268.30/209.22 |
% 268.30/209.22 | Equations (2443) can reduce 504 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (504) ~ (all_0_26_26 = e3)
% 268.30/209.22 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (5357), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (2380) all_0_26_26 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (2380) can reduce 647 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (647) ~ (all_0_26_26 = e2)
% 268.30/209.22 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (5361), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (1005) all_0_26_26 = e1
% 268.30/209.22 |
% 268.30/209.22 | Equations (1005) can reduce 1008 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (1008) ~ (all_0_26_26 = e1)
% 268.30/209.22 | (883) all_0_26_26 = e0
% 268.30/209.22 |
% 268.30/209.22 | From (883) and (7529) follows:
% 268.30/209.22 | (678) op(e4, e0) = e2
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (21452), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (5138) ~ (op(e4, e0) = e2)
% 268.30/209.22 |
% 268.30/209.22 | Using (678) and (5138) yields:
% 268.30/209.22 | (821) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (678) op(e4, e0) = e2
% 268.30/209.22 | (663) all_0_19_19 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (663) can reduce 2785 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (651) ~ (all_0_29_29 = e2)
% 268.30/209.22 | (4106) all_0_34_34 = e2 | all_0_39_39 = e2
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (4106), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (1110) all_0_34_34 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (1110) can reduce 672 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (672) ~ (all_0_34_34 = e2)
% 268.30/209.22 | (373) all_0_39_39 = e2
% 268.30/209.22 |
% 268.30/209.22 | Combining equations (365,373) yields a new equation:
% 268.30/209.22 | (1111) e4 = e2
% 268.30/209.22 |
% 268.30/209.22 | Simplifying 1111 yields:
% 268.30/209.22 | (539) e4 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (539) can reduce 19 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (1114) ~ (all_0_20_20 = e2)
% 268.30/209.22 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (162), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (472) all_0_15_15 = e2
% 268.30/209.22 |
% 268.30/209.22 | Combining equations (472,483) yields a new equation:
% 268.30/209.22 | (836) e2 = e0
% 268.30/209.22 |
% 268.30/209.22 | Simplifying 836 yields:
% 268.30/209.22 | (551) e2 = e0
% 268.30/209.22 |
% 268.30/209.22 | Equations (551) can reduce 347 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (447) ~ (all_0_15_15 = e2)
% 268.30/209.22 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (483) can reduce 447 to:
% 268.30/209.22 | (393) ~ (e2 = e0)
% 268.30/209.22 |
% 268.30/209.22 | Simplifying 393 yields:
% 268.30/209.22 | (347) ~ (e2 = e0)
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (1115), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (522) all_0_21_21 = e2
% 268.30/209.22 |
% 268.30/209.22 | Combining equations (522,453) yields a new equation:
% 268.30/209.22 | (764) e3 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (764) can reduce 56 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (361) ~ (all_0_21_21 = e2)
% 268.30/209.22 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (1121), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (917) all_0_22_22 = e2
% 268.30/209.22 |
% 268.30/209.22 | Combining equations (831,917) yields a new equation:
% 268.30/209.22 | (1111) e4 = e2
% 268.30/209.22 |
% 268.30/209.22 | Simplifying 1111 yields:
% 268.30/209.22 | (539) e4 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (539) can reduce 19 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (493) ~ (all_0_22_22 = e2)
% 268.30/209.22 | (1125) all_0_23_23 = e2 | all_0_24_24 = e2
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (1125), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (1126) all_0_23_23 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (1126) can reduce 810 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (810) ~ (all_0_23_23 = e2)
% 268.30/209.22 | (1393) all_0_24_24 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (1393) can reduce 85 to:
% 268.30/209.22 | (650) ~ (all_0_29_29 = e2)
% 268.30/209.22 |
% 268.30/209.22 | Simplifying 650 yields:
% 268.30/209.22 | (651) ~ (all_0_29_29 = e2)
% 268.30/209.22 |
% 268.30/209.22 | Equations (1393) can reduce 580 to:
% 268.30/209.22 | (444) ~ (e4 = e2)
% 268.30/209.22 |
% 268.30/209.22 | Simplifying 444 yields:
% 268.30/209.22 | (19) ~ (e4 = e2)
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (135), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (835) all_0_20_20 = e0
% 268.30/209.22 |
% 268.30/209.22 | Equations (835) can reduce 839 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (839) ~ (all_0_20_20 = e0)
% 268.30/209.22 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (23), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (3159) all_0_25_25 = e2
% 268.30/209.22 |
% 268.30/209.22 | Combining equations (1158,3159) yields a new equation:
% 268.30/209.22 | (1111) e4 = e2
% 268.30/209.22 |
% 268.30/209.22 | Simplifying 1111 yields:
% 268.30/209.22 | (539) e4 = e2
% 268.30/209.22 |
% 268.30/209.22 | Equations (539) can reduce 19 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (646) ~ (all_0_25_25 = e2)
% 268.30/209.22 | (13669) all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (13669), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (2380) all_0_26_26 = e2
% 268.30/209.22 |
% 268.30/209.22 | From (2380) and (25574) follows:
% 268.30/209.22 | (7783) op(e2, e4) = e3
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (840), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (529) all_0_21_21 = e0
% 268.30/209.22 |
% 268.30/209.22 | Combining equations (529,453) yields a new equation:
% 268.30/209.22 | (980) e3 = e0
% 268.30/209.22 |
% 268.30/209.22 | Equations (980) can reduce 88 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (398) ~ (all_0_21_21 = e0)
% 268.30/209.22 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (846), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (847) all_0_22_22 = e0
% 268.30/209.22 |
% 268.30/209.22 | Combining equations (847,831) yields a new equation:
% 268.30/209.22 | (490) e4 = e0
% 268.30/209.22 |
% 268.30/209.22 | Equations (490) can reduce 287 to:
% 268.30/209.22 | (366) $false
% 268.30/209.22 |
% 268.30/209.22 |-The branch is then unsatisfiable
% 268.30/209.22 |-Branch two:
% 268.30/209.22 | (826) ~ (all_0_22_22 = e0)
% 268.30/209.22 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (850), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.22 | (851) all_0_23_23 = e0
% 268.30/209.22 |
% 268.30/209.22 | From (851) and (10551) follows:
% 268.30/209.22 | (7131) op(e4, e0) = e3
% 268.30/209.22 |
% 268.30/209.22 +-Applying beta-rule and splitting (6529), into two cases.
% 268.30/209.22 |-Branch one:
% 268.30/209.23 | (7132) ~ (op(e4, e0) = e3)
% 268.30/209.23 |
% 268.30/209.23 | Using (7131) and (7132) yields:
% 268.30/209.23 | (821) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (7131) op(e4, e0) = e3
% 268.30/209.23 | (927) all_0_19_19 = e3
% 268.30/209.23 |
% 268.30/209.23 | Equations (927) can reduce 714 to:
% 268.30/209.23 | (695) ~ (e4 = e3)
% 268.30/209.23 |
% 268.30/209.23 | Simplifying 695 yields:
% 268.30/209.23 | (277) ~ (e4 = e3)
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (31022), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (7790) ~ (op(e2, e4) = e3)
% 268.30/209.23 |
% 268.30/209.23 | Using (7783) and (7790) yields:
% 268.30/209.23 | (821) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (7783) op(e2, e4) = e3
% 268.30/209.23 | (691) e4 = e3
% 268.30/209.23 |
% 268.30/209.23 | Equations (691) can reduce 277 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (1068) ~ (all_0_23_23 = e0)
% 268.30/209.23 | (1069) all_0_24_24 = e0
% 268.30/209.23 |
% 268.30/209.23 | Combining equations (1393,1069) yields a new equation:
% 268.30/209.23 | (836) e2 = e0
% 268.30/209.23 |
% 268.30/209.23 | Simplifying 836 yields:
% 268.30/209.23 | (551) e2 = e0
% 268.30/209.23 |
% 268.30/209.23 | Equations (551) can reduce 347 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (647) ~ (all_0_26_26 = e2)
% 268.30/209.23 | (13681) all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (13681), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (443) all_0_27_27 = e2
% 268.30/209.23 |
% 268.30/209.23 | Combining equations (543,443) yields a new equation:
% 268.30/209.23 | (718) e2 = e1
% 268.30/209.23 |
% 268.30/209.23 | Equations (718) can reduce 329 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (500) ~ (all_0_27_27 = e2)
% 268.30/209.23 | (13687) all_0_28_28 = e2 | all_0_29_29 = e2
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (13687), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (1037) all_0_28_28 = e2
% 268.30/209.23 |
% 268.30/209.23 | Equations (1037) can reduce 649 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (649) ~ (all_0_28_28 = e2)
% 268.30/209.23 | (4103) all_0_29_29 = e2
% 268.30/209.23 |
% 268.30/209.23 | Equations (4103) can reduce 651 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (576) ~ (all_0_22_22 = e4)
% 268.30/209.23 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (1152), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (435) all_0_27_27 = e4
% 268.30/209.23 |
% 268.30/209.23 | Combining equations (543,435) yields a new equation:
% 268.30/209.23 | (480) e4 = e1
% 268.30/209.23 |
% 268.30/209.23 | Equations (480) can reduce 65 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (404) ~ (all_0_27_27 = e4)
% 268.30/209.23 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (1222), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (1229) all_0_32_32 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (1229) can reduce 727 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (727) ~ (all_0_32_32 = e4)
% 268.30/209.23 | (1232) all_0_37_37 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (1232) can reduce 2658 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (1046) ~ (all_0_18_18 = e4)
% 268.30/209.23 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (694), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (701) all_0_16_16 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (701) can reduce 573 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (573) ~ (all_0_16_16 = e4)
% 268.30/209.23 | (864) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (864), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (865) all_0_17_17 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (865) can reduce 2422 to:
% 268.30/209.23 | (287) ~ (e4 = e0)
% 268.30/209.23 |
% 268.30/209.23 | From (865) and (1820) follows:
% 268.30/209.23 | (1430) op(e4, e4) = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (24609), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (1431) ~ (op(e4, e4) = e4)
% 268.30/209.23 |
% 268.30/209.23 | Using (1430) and (1431) yields:
% 268.30/209.23 | (821) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (1430) op(e4, e4) = e4
% 268.30/209.23 | (490) e4 = e0
% 268.30/209.23 |
% 268.30/209.23 | Equations (490) can reduce 287 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (869) ~ (all_0_17_17 = e4)
% 268.30/209.23 | (870) all_0_18_18 = e4 | all_0_19_19 = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (1051), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (1515) all_0_23_23 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (1515) can reduce 110 to:
% 268.30/209.23 | (1046) ~ (all_0_18_18 = e4)
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (870), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (887) all_0_18_18 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (887) can reduce 1046 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (1046) ~ (all_0_18_18 = e4)
% 268.30/209.23 | (711) all_0_19_19 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (711) can reduce 714 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (578) ~ (all_0_23_23 = e4)
% 268.30/209.23 | (1518) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (1518), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (892) all_0_28_28 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (892) can reduce 890 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (890) ~ (all_0_28_28 = e4)
% 268.30/209.23 | (1522) all_0_33_33 = e4 | all_0_38_38 = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (1522), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (406) all_0_33_33 = e4
% 268.30/209.23 |
% 268.30/209.23 | Combining equations (414,406) yields a new equation:
% 268.30/209.23 | (539) e4 = e2
% 268.30/209.23 |
% 268.30/209.23 | Equations (539) can reduce 19 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (405) ~ (all_0_33_33 = e4)
% 268.30/209.23 | (1165) all_0_38_38 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (1165) can reduce 1143 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (501) ~ (all_0_25_25 = e4)
% 268.30/209.23 | (1460) all_0_30_30 = e4 | all_0_35_35 = e4
% 268.30/209.23 |
% 268.30/209.23 +-Applying beta-rule and splitting (1460), into two cases.
% 268.30/209.23 |-Branch one:
% 268.30/209.23 | (768) all_0_30_30 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (768) can reduce 509 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (509) ~ (all_0_30_30 = e4)
% 268.30/209.23 | (1161) all_0_35_35 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (1161) can reduce 514 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.23 |-Branch two:
% 268.30/209.23 | (584) ~ (all_0_31_31 = e4)
% 268.30/209.23 | (2611) all_0_36_36 = e4
% 268.30/209.23 |
% 268.30/209.23 | Equations (2611) can reduce 586 to:
% 268.30/209.23 | (366) $false
% 268.30/209.23 |
% 268.30/209.23 |-The branch is then unsatisfiable
% 268.30/209.24 |-Branch two:
% 268.30/209.24 | (1254) all_0_33_33 = e0
% 268.30/209.24 | (31287) (all_0_5_5 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_34_34 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_34_34) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_34_34, all_0_34_34) = all_0_4_4)))
% 268.30/209.24 |
% 268.30/209.24 | From (1254)(1254) and (148) follows:
% 268.30/209.24 | (18691) op(e0, e0) = e1
% 268.30/209.24 |
% 268.30/209.24 | Instantiating formula (97) with e0, e0, e1, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e1, yields:
% 268.30/209.24 | (480) e4 = e1
% 268.30/209.24 |
% 268.30/209.24 | Equations (480) can reduce 65 to:
% 268.30/209.24 | (366) $false
% 268.30/209.24 |
% 268.30/209.24 |-The branch is then unsatisfiable
% 268.30/209.24 |-Branch two:
% 268.30/209.24 | (546) all_0_27_27 = e0
% 268.30/209.24 | (31292) (all_0_8_8 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_29_29 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_29_29) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_29_29, all_0_29_29) = all_0_7_7)))
% 268.30/209.24 |
% 268.30/209.24 | From (546)(546) and (99) follows:
% 268.30/209.24 | (550) op(e0, e0) = e2
% 268.30/209.24 |
% 268.30/209.24 | Instantiating formula (97) with e0, e0, e2, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e2, yields:
% 268.30/209.24 | (539) e4 = e2
% 268.30/209.24 |
% 268.30/209.24 | Equations (539) can reduce 19 to:
% 268.30/209.24 | (366) $false
% 268.30/209.24 |
% 268.30/209.24 |-The branch is then unsatisfiable
% 268.30/209.25 |-Branch two:
% 268.30/209.25 | (406) all_0_33_33 = e4
% 268.30/209.25 | (5476) (all_0_5_5 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_30_30 & (( ~ (all_0_3_3 = e3) & op(e1, all_0_30_30) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_30_30, all_0_30_30) = all_0_4_4)))
% 268.30/209.25 |
% 268.30/209.25 | From (406)(406) and (148) follows:
% 268.30/209.25 | (5450) op(e4, e4) = e1
% 268.30/209.25 |
% 268.30/209.25 | Instantiating formula (97) with e4, e4, e1, e0 and discharging atoms op(e4, e4) = e1, op(e4, e4) = e0, yields:
% 268.30/209.25 | (961) e1 = e0
% 268.30/209.25 |
% 268.30/209.25 | Equations (961) can reduce 37 to:
% 268.30/209.25 | (366) $false
% 268.30/209.25 |
% 268.30/209.25 |-The branch is then unsatisfiable
% 268.30/209.25 |-Branch two:
% 268.30/209.25 | (494) ~ (all_0_21_21 = e3)
% 268.30/209.25 | (521) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 268.30/209.25 |
% 268.30/209.25 +-Applying beta-rule and splitting (521), into two cases.
% 268.30/209.25 |-Branch one:
% 268.30/209.25 | (522) all_0_21_21 = e2
% 268.30/209.25 |
% 268.30/209.25 | Equations (522) can reduce 361 to:
% 268.30/209.25 | (366) $false
% 268.30/209.25 |
% 268.30/209.25 |-The branch is then unsatisfiable
% 268.30/209.25 |-Branch two:
% 268.30/209.25 | (361) ~ (all_0_21_21 = e2)
% 268.30/209.25 | (525) all_0_21_21 = e1 | all_0_21_21 = e0
% 268.30/209.25 |
% 268.30/209.25 +-Applying beta-rule and splitting (525), into two cases.
% 268.30/209.25 |-Branch one:
% 268.30/209.25 | (526) all_0_21_21 = e1
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 363 to:
% 268.30/209.25 | (366) $false
% 268.30/209.25 |
% 268.30/209.25 |-The branch is then unsatisfiable
% 268.30/209.25 |-Branch two:
% 268.30/209.25 | (363) ~ (all_0_21_21 = e1)
% 268.30/209.25 | (529) all_0_21_21 = e0
% 268.30/209.25 |
% 268.30/209.25 | Equations (529) can reduce 398 to:
% 268.30/209.25 | (366) $false
% 268.30/209.25 |
% 268.30/209.25 |-The branch is then unsatisfiable
% 268.30/209.25 |-Branch two:
% 268.30/209.25 | (449) all_0_21_21 = e4
% 268.30/209.25 | (617) (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_14_14 = all_0_20_20 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_20_20) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_20_20, all_0_20_20) = all_0_13_13)))
% 268.30/209.25 |
% 268.30/209.25 | From (449)(449) and (138) follows:
% 268.30/209.25 | (533) op(e4, e4) = e3
% 268.30/209.25 |
% 268.30/209.25 | Instantiating formula (97) with e4, e4, e3, e0 and discharging atoms op(e4, e4) = e3, op(e4, e4) = e0, yields:
% 268.30/209.25 | (980) e3 = e0
% 268.30/209.25 |
% 268.30/209.25 | Equations (980) can reduce 88 to:
% 268.30/209.25 | (366) $false
% 268.30/209.25 |
% 268.30/209.25 |-The branch is then unsatisfiable
% 268.30/209.25 |-Branch two:
% 268.30/209.25 | (435) all_0_27_27 = e4
% 268.30/209.25 | (10327) (all_0_8_8 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_25_25 & (( ~ (all_0_6_6 = e3) & op(e2, all_0_25_25) = all_0_6_6) | ( ~ (all_0_7_7 = e1) & op(all_0_25_25, all_0_25_25) = all_0_7_7)))
% 268.30/209.25 |
% 268.30/209.25 | From (435)(435) and (99) follows:
% 268.30/209.25 | (1335) op(e4, e4) = e2
% 268.30/209.25 |
% 268.30/209.25 | Instantiating formula (97) with e4, e4, e2, e0 and discharging atoms op(e4, e4) = e2, op(e4, e4) = e0, yields:
% 268.30/209.25 | (551) e2 = e0
% 268.30/209.25 |
% 268.30/209.25 | Equations (551) can reduce 347 to:
% 268.30/209.25 | (366) $false
% 268.30/209.25 |
% 268.30/209.25 |-The branch is then unsatisfiable
% 268.30/209.25 |-Branch two:
% 268.30/209.25 | (529) all_0_21_21 = e0
% 268.30/209.25 | (31323) (all_0_14_14 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_14_14 = all_0_24_24 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_24_24) = all_0_12_12) | ( ~ (all_0_13_13 = e1) & op(all_0_24_24, all_0_24_24) = all_0_13_13)))
% 268.30/209.25 |
% 268.30/209.25 | From (529)(529) and (138) follows:
% 268.30/209.25 | (10466) op(e0, e0) = e3
% 268.30/209.25 |
% 268.30/209.25 | Instantiating formula (97) with e0, e0, e3, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e3, yields:
% 268.30/209.25 | (691) e4 = e3
% 268.30/209.25 |
% 268.30/209.25 | Equations (691) can reduce 277 to:
% 268.30/209.25 | (366) $false
% 268.30/209.25 |
% 268.30/209.25 |-The branch is then unsatisfiable
% 268.30/209.25 |-Branch two:
% 268.30/209.25 | (526) all_0_21_21 = e1
% 268.30/209.25 | (31328) (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 307 to:
% 268.30/209.25 | (985) ~ (all_0_16_16 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 71 to:
% 268.30/209.25 | (1409) ~ (all_0_20_20 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 339 to:
% 268.30/209.25 | (3383) ~ (all_0_22_22 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Simplifying 3383 yields:
% 268.30/209.25 | (1018) ~ (all_0_22_22 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 194 to:
% 268.30/209.25 | (3684) ~ (all_0_23_23 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Simplifying 3684 yields:
% 268.30/209.25 | (420) ~ (all_0_23_23 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 180 to:
% 268.30/209.25 | (1964) ~ (all_0_24_24 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Simplifying 1964 yields:
% 268.30/209.25 | (943) ~ (all_0_24_24 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 265 to:
% 268.30/209.25 | (5348) ~ (all_0_26_26 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Simplifying 5348 yields:
% 268.30/209.25 | (1008) ~ (all_0_26_26 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 255 to:
% 268.30/209.25 | (1613) ~ (all_0_31_31 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Simplifying 1613 yields:
% 268.30/209.25 | (423) ~ (all_0_31_31 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 150 to:
% 268.30/209.25 | (2547) ~ (all_0_36_36 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Simplifying 2547 yields:
% 268.30/209.25 | (1593) ~ (all_0_36_36 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Equations (526) can reduce 361 to:
% 268.30/209.25 | (1002) ~ (e2 = e1)
% 268.30/209.25 |
% 268.30/209.25 | Simplifying 1002 yields:
% 268.30/209.25 | (329) ~ (e2 = e1)
% 268.30/209.25 |
% 268.30/209.25 | From (526)(526) and (138) follows:
% 268.30/209.25 | (29984) op(e1, e1) = e3
% 268.30/209.25 |
% 268.30/209.25 | Instantiating formula (97) with e1, e1, e3, all_0_33_33 and discharging atoms op(e1, e1) = all_0_33_33, op(e1, e1) = e3, yields:
% 268.30/209.25 | (410) all_0_33_33 = e3
% 268.30/209.25 |
% 268.30/209.25 | Equations (410) can reduce 208 to:
% 268.30/209.25 | (560) ~ (all_0_18_18 = e3)
% 268.30/209.25 |
% 268.30/209.25 | Equations (410) can reduce 189 to:
% 268.30/209.25 | (982) ~ (all_0_23_23 = e3)
% 268.30/209.25 |
% 268.30/209.25 | Equations (410) can reduce 237 to:
% 268.30/209.25 | (1035) ~ (all_0_28_28 = e3)
% 268.30/209.25 |
% 268.30/209.25 | Equations (410) can reduce 283 to:
% 268.30/209.25 | (568) ~ (all_0_30_30 = e3)
% 268.30/209.25 |
% 268.30/209.25 | Equations (410) can reduce 246 to:
% 268.30/209.25 | (510) ~ (all_0_31_31 = e3)
% 268.30/209.25 |
% 268.30/209.25 | Equations (410) can reduce 201 to:
% 268.30/209.25 | (1089) ~ (all_0_32_32 = e3)
% 268.30/209.25 |
% 268.30/209.25 | Equations (410) can reduce 328 to:
% 268.30/209.25 | (2981) ~ (all_0_34_34 = e3)
% 268.30/209.25 |
% 268.30/209.26 | Simplifying 2981 yields:
% 268.30/209.26 | (1031) ~ (all_0_34_34 = e3)
% 268.30/209.26 |
% 268.30/209.26 | Equations (410) can reduce 324 to:
% 268.30/209.26 | (2070) ~ (all_0_38_38 = e3)
% 268.30/209.26 |
% 268.30/209.26 | Simplifying 2070 yields:
% 268.30/209.26 | (1080) ~ (all_0_38_38 = e3)
% 268.30/209.26 |
% 268.30/209.26 | From (410)(410) and (148) follows:
% 268.30/209.26 | (14948) op(e3, e3) = e1
% 268.30/209.26 |
% 268.30/209.26 | From (410) and (288) follows:
% 268.30/209.26 | (29984) op(e1, e1) = e3
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (151), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (402) ~ (all_0_27_27 = e1)
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (174), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (403) ~ (all_0_33_33 = e3)
% 268.30/209.26 |
% 268.30/209.26 | Equations (410) can reduce 403 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (410) all_0_33_33 = e3
% 268.30/209.26 | (31363) (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (251), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (482) ~ (all_0_15_15 = e1)
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (212), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (433) ~ (all_0_15_15 = e3)
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (175), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (403) ~ (all_0_33_33 = e3)
% 268.30/209.26 |
% 268.30/209.26 | Equations (410) can reduce 403 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (410) all_0_33_33 = e3
% 268.30/209.26 | (31369) (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e0) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (130), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (400) ~ (all_0_27_27 = e3)
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (14), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (403) ~ (all_0_33_33 = e3)
% 268.30/209.26 |
% 268.30/209.26 | Equations (410) can reduce 403 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (410) all_0_33_33 = e3
% 268.30/209.26 | (31374) (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (204), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (363) ~ (all_0_21_21 = e1)
% 268.30/209.26 |
% 268.30/209.26 | Equations (526) can reduce 363 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (526) all_0_21_21 = e1
% 268.30/209.26 | (31378) (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (13), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (403) ~ (all_0_33_33 = e3)
% 268.30/209.26 |
% 268.30/209.26 | Equations (410) can reduce 403 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (410) all_0_33_33 = e3
% 268.30/209.26 | (14947) (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e2) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e4) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (205), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (363) ~ (all_0_21_21 = e1)
% 268.30/209.26 |
% 268.30/209.26 | Equations (526) can reduce 363 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (526) all_0_21_21 = e1
% 268.30/209.26 | (31386) (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e4) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (244), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (403) ~ (all_0_33_33 = e3)
% 268.30/209.26 |
% 268.30/209.26 | Equations (410) can reduce 403 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (410) all_0_33_33 = e3
% 268.30/209.26 | (31390) (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e0) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (326), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (363) ~ (all_0_21_21 = e1)
% 268.30/209.26 |
% 268.30/209.26 | Equations (526) can reduce 363 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (526) all_0_21_21 = e1
% 268.30/209.26 | (31394) (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e2) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e0) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (243), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (403) ~ (all_0_33_33 = e3)
% 268.30/209.26 |
% 268.30/209.26 | Equations (410) can reduce 403 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (410) all_0_33_33 = e3
% 268.30/209.26 | (28462) (all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_31_31 & (( ~ (all_0_3_3 = e4) & op(e1, all_0_31_31) = all_0_3_3) | ( ~ (all_0_4_4 = e2) & op(all_0_31_31, all_0_31_31) = all_0_4_4)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (209), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (363) ~ (all_0_21_21 = e1)
% 268.30/209.26 |
% 268.30/209.26 | Equations (526) can reduce 363 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (526) all_0_21_21 = e1
% 268.30/209.26 | (31402) (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e4) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (210), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (363) ~ (all_0_21_21 = e1)
% 268.30/209.26 |
% 268.30/209.26 | Equations (526) can reduce 363 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (526) all_0_21_21 = e1
% 268.30/209.26 | (31406) (all_0_14_14 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_14_14 = all_0_23_23 & (( ~ (all_0_12_12 = e0) & op(e3, all_0_23_23) = all_0_12_12) | ( ~ (all_0_13_13 = e2) & op(all_0_23_23, all_0_23_23) = all_0_13_13)))
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (48), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (447) ~ (all_0_15_15 = e2)
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (267), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (434) ~ (all_0_27_27 = e0)
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (134), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (404) ~ (all_0_27_27 = e4)
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (6), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (435) all_0_27_27 = e4
% 268.30/209.26 |
% 268.30/209.26 | Equations (435) can reduce 404 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (404) ~ (all_0_27_27 = e4)
% 268.30/209.26 | (438) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (438), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (439) all_0_27_27 = e3
% 268.30/209.26 |
% 268.30/209.26 | Equations (439) can reduce 400 to:
% 268.30/209.26 | (366) $false
% 268.30/209.26 |
% 268.30/209.26 |-The branch is then unsatisfiable
% 268.30/209.26 |-Branch two:
% 268.30/209.26 | (400) ~ (all_0_27_27 = e3)
% 268.30/209.26 | (442) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 268.30/209.26 |
% 268.30/209.26 +-Applying beta-rule and splitting (442), into two cases.
% 268.30/209.26 |-Branch one:
% 268.30/209.26 | (443) all_0_27_27 = e2
% 268.30/209.26 |
% 268.30/209.27 | Equations (443) can reduce 3 to:
% 268.30/209.27 | (459) ~ (all_0_17_17 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 341 to:
% 268.30/209.27 | (493) ~ (all_0_22_22 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 289 to:
% 268.30/209.27 | (646) ~ (all_0_25_25 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 100 to:
% 268.30/209.27 | (647) ~ (all_0_26_26 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 106 to:
% 268.30/209.27 | (648) ~ (all_0_28_28 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 648 yields:
% 268.30/209.27 | (649) ~ (all_0_28_28 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 248 to:
% 268.30/209.27 | (650) ~ (all_0_29_29 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 650 yields:
% 268.30/209.27 | (651) ~ (all_0_29_29 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 149 to:
% 268.30/209.27 | (652) ~ (all_0_32_32 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 652 yields:
% 268.30/209.27 | (508) ~ (all_0_32_32 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 220 to:
% 268.30/209.27 | (654) ~ (all_0_37_37 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 654 yields:
% 268.30/209.27 | (515) ~ (all_0_37_37 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 400 to:
% 268.30/209.27 | (658) ~ (e3 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 658 yields:
% 268.30/209.27 | (56) ~ (e3 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (443) can reduce 402 to:
% 268.30/209.27 | (329) ~ (e2 = e1)
% 268.30/209.27 |
% 268.30/209.27 | From (443) and (313) follows:
% 268.30/209.27 | (446) op(e2, e2) = e2
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (257), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (364) ~ (all_0_39_39 = e4)
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (103), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (365) all_0_39_39 = e4
% 268.30/209.27 |
% 268.30/209.27 | Equations (365) can reduce 364 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (364) ~ (all_0_39_39 = e4)
% 268.30/209.27 | (368) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (368), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (369) all_0_39_39 = e3
% 268.30/209.27 |
% 268.30/209.27 | Equations (369) can reduce 362 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (362) ~ (all_0_39_39 = e3)
% 268.30/209.27 | (372) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (372), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (373) all_0_39_39 = e2
% 268.30/209.27 |
% 268.30/209.27 | Equations (373) can reduce 360 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (360) ~ (all_0_39_39 = e2)
% 268.30/209.27 | (376) all_0_39_39 = e1 | all_0_39_39 = e0
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (376), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (377) all_0_39_39 = e1
% 268.30/209.27 |
% 268.30/209.27 | Equations (377) can reduce 359 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (359) ~ (all_0_39_39 = e1)
% 268.30/209.27 | (380) all_0_39_39 = e0
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 278 to:
% 268.30/209.27 | (381) ~ (all_0_19_19 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 335 to:
% 268.30/209.27 | (382) ~ (all_0_24_24 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 109 to:
% 268.30/209.27 | (383) ~ (all_0_29_29 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 123 to:
% 268.30/209.27 | (384) ~ (all_0_34_34 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 191 to:
% 268.30/209.27 | (385) ~ (all_0_35_35 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 117 to:
% 268.30/209.27 | (386) ~ (all_0_36_36 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 260 to:
% 268.30/209.27 | (387) ~ (all_0_37_37 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 18 to:
% 268.30/209.27 | (388) ~ (all_0_38_38 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 364 to:
% 268.30/209.27 | (389) ~ (e4 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 389 yields:
% 268.30/209.27 | (287) ~ (e4 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 362 to:
% 268.30/209.27 | (391) ~ (e3 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 391 yields:
% 268.30/209.27 | (88) ~ (e3 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 360 to:
% 268.30/209.27 | (393) ~ (e2 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 393 yields:
% 268.30/209.27 | (347) ~ (e2 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Equations (380) can reduce 359 to:
% 268.30/209.27 | (395) ~ (e1 = e0)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 395 yields:
% 268.30/209.27 | (37) ~ (e1 = e0)
% 268.30/209.27 |
% 268.30/209.27 | From (380) and (30) follows:
% 268.30/209.27 | (397) op(e0, e0) = e0
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (119), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (463) ~ (all_0_15_15 = e0)
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (311), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (464) all_0_15_15 = e4
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 351 to:
% 268.30/209.27 | (15060) ~ (all_0_16_16 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 15060 yields:
% 268.30/209.27 | (573) ~ (all_0_16_16 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 66 to:
% 268.30/209.27 | (11516) ~ (all_0_17_17 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 11516 yields:
% 268.30/209.27 | (869) ~ (all_0_17_17 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 344 to:
% 268.30/209.27 | (1493) ~ (all_0_18_18 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 1493 yields:
% 268.30/209.27 | (1046) ~ (all_0_18_18 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 190 to:
% 268.30/209.27 | (6514) ~ (all_0_19_19 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 6514 yields:
% 268.30/209.27 | (714) ~ (all_0_19_19 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 146 to:
% 268.30/209.27 | (15068) ~ (all_0_20_20 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 15068 yields:
% 268.30/209.27 | (496) ~ (all_0_20_20 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 52 to:
% 268.30/209.27 | (10614) ~ (all_0_25_25 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 10614 yields:
% 268.30/209.27 | (501) ~ (all_0_25_25 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 84 to:
% 268.30/209.27 | (3310) ~ (all_0_30_30 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 3310 yields:
% 268.30/209.27 | (509) ~ (all_0_30_30 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 157 to:
% 268.30/209.27 | (1159) ~ (all_0_35_35 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 1159 yields:
% 268.30/209.27 | (514) ~ (all_0_35_35 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 433 to:
% 268.30/209.27 | (277) ~ (e4 = e3)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 447 to:
% 268.30/209.27 | (19) ~ (e4 = e2)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 482 to:
% 268.30/209.27 | (65) ~ (e4 = e1)
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 463 to:
% 268.30/209.27 | (287) ~ (e4 = e0)
% 268.30/209.27 |
% 268.30/209.27 | From (464) and (218) follows:
% 268.30/209.27 | (1430) op(e4, e4) = e4
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (206), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (483) all_0_15_15 = e0
% 268.30/209.27 |
% 268.30/209.27 | Combining equations (483,464) yields a new equation:
% 268.30/209.27 | (490) e4 = e0
% 268.30/209.27 |
% 268.30/209.27 | Equations (490) can reduce 287 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (463) ~ (all_0_15_15 = e0)
% 268.30/209.27 | (1889) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 268.30/209.27 |
% 268.30/209.27 | Equations (464) can reduce 463 to:
% 268.30/209.27 | (287) ~ (e4 = e0)
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (187), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (2611) all_0_36_36 = e4
% 268.30/209.27 |
% 268.30/209.27 | Equations (2611) can reduce 64 to:
% 268.30/209.27 | (573) ~ (all_0_16_16 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (2611) can reduce 170 to:
% 268.30/209.27 | (582) ~ (all_0_26_26 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (2611) can reduce 7 to:
% 268.30/209.27 | (584) ~ (all_0_31_31 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (2611) can reduce 273 to:
% 268.30/209.27 | (514) ~ (all_0_35_35 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (2611) can reduce 183 to:
% 268.30/209.27 | (3299) ~ (all_0_37_37 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 3299 yields:
% 268.30/209.27 | (2658) ~ (all_0_37_37 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (2611) can reduce 93 to:
% 268.30/209.27 | (1142) ~ (all_0_38_38 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 1142 yields:
% 268.30/209.27 | (1143) ~ (all_0_38_38 = e4)
% 268.30/209.27 |
% 268.30/209.27 | Equations (2611) can reduce 1593 to:
% 268.30/209.27 | (65) ~ (e4 = e1)
% 268.30/209.27 |
% 268.30/209.27 | Equations (2611) can reduce 386 to:
% 268.30/209.27 | (287) ~ (e4 = e0)
% 268.30/209.27 |
% 268.30/209.27 | From (2611) and (158) follows:
% 268.30/209.27 | (13538) op(all_0_24_24, e4) = e0
% 268.30/209.27 |
% 268.30/209.27 | From (2611) and (5) follows:
% 268.30/209.27 | (7478) op(e4, all_0_24_24) = e3
% 268.30/209.27 |
% 268.30/209.27 | Instantiating formula (97) with e3, e4, e0, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 268.30/209.27 | (3337) all_0_20_20 = e0 | ~ (op(e3, e4) = e0)
% 268.30/209.27 |
% 268.30/209.27 | Instantiating formula (97) with e2, e4, e0, all_0_25_25 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 268.30/209.27 | (1747) all_0_25_25 = e0 | ~ (op(e2, e4) = e0)
% 268.30/209.27 |
% 268.30/209.27 | Instantiating formula (97) with e4, e4, e3, e4 and discharging atoms op(e4, e4) = e4, yields:
% 268.30/209.27 | (31513) e4 = e3 | ~ (op(e4, e4) = e3)
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (164), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (814) all_0_35_35 = e3
% 268.30/209.27 |
% 268.30/209.27 | Equations (814) can reduce 249 to:
% 268.30/209.27 | (564) ~ (all_0_20_20 = e3)
% 268.30/209.27 |
% 268.30/209.27 | Equations (814) can reduce 121 to:
% 268.30/209.27 | (776) ~ (all_0_37_37 = e3)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 776 yields:
% 268.30/209.27 | (777) ~ (all_0_37_37 = e3)
% 268.30/209.27 |
% 268.30/209.27 | Equations (814) can reduce 173 to:
% 268.30/209.27 | (2070) ~ (all_0_38_38 = e3)
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 2070 yields:
% 268.30/209.27 | (1080) ~ (all_0_38_38 = e3)
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (271), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (1232) all_0_37_37 = e4
% 268.30/209.27 |
% 268.30/209.27 | Equations (1232) can reduce 2658 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (2658) ~ (all_0_37_37 = e4)
% 268.30/209.27 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (3872), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (1073) all_0_37_37 = e3
% 268.30/209.27 |
% 268.30/209.27 | Equations (1073) can reduce 777 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (777) ~ (all_0_37_37 = e3)
% 268.30/209.27 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (214), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (797) all_0_35_35 = e2
% 268.30/209.27 |
% 268.30/209.27 | Combining equations (814,797) yields a new equation:
% 268.30/209.27 | (3874) e3 = e2
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 3874 yields:
% 268.30/209.27 | (764) e3 = e2
% 268.30/209.27 |
% 268.30/209.27 | Equations (764) can reduce 56 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (742) ~ (all_0_35_35 = e2)
% 268.30/209.27 | (800) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (3886), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (805) all_0_37_37 = e2
% 268.30/209.27 |
% 268.30/209.27 | Equations (805) can reduce 515 to:
% 268.30/209.27 | (366) $false
% 268.30/209.27 |
% 268.30/209.27 |-The branch is then unsatisfiable
% 268.30/209.27 |-Branch two:
% 268.30/209.27 | (515) ~ (all_0_37_37 = e2)
% 268.30/209.27 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 268.30/209.27 |
% 268.30/209.27 +-Applying beta-rule and splitting (800), into two cases.
% 268.30/209.27 |-Branch one:
% 268.30/209.27 | (801) all_0_36_36 = e2
% 268.30/209.27 |
% 268.30/209.27 | Combining equations (2611,801) yields a new equation:
% 268.30/209.27 | (1111) e4 = e2
% 268.30/209.27 |
% 268.30/209.27 | Simplifying 1111 yields:
% 268.30/209.27 | (539) e4 = e2
% 268.30/209.27 |
% 268.30/209.27 | Equations (539) can reduce 19 to:
% 268.30/209.28 | (366) $false
% 268.30/209.28 |
% 268.30/209.28 |-The branch is then unsatisfiable
% 268.30/209.28 |-Branch two:
% 268.30/209.28 | (756) ~ (all_0_36_36 = e2)
% 268.30/209.28 | (804) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (3890), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (1590) all_0_37_37 = e1
% 268.30/209.28 |
% 268.30/209.28 | Equations (1590) can reduce 132 to:
% 268.30/209.28 | (1501) ~ (all_0_17_17 = e1)
% 268.30/209.28 |
% 268.30/209.28 | Equations (1590) can reduce 354 to:
% 268.30/209.28 | (427) ~ (all_0_38_38 = e1)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 427 yields:
% 268.30/209.28 | (428) ~ (all_0_38_38 = e1)
% 268.30/209.28 |
% 268.30/209.28 | Equations (1590) can reduce 2658 to:
% 268.30/209.28 | (477) ~ (e4 = e1)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 477 yields:
% 268.30/209.28 | (65) ~ (e4 = e1)
% 268.30/209.28 |
% 268.30/209.28 | Equations (1590) can reduce 515 to:
% 268.30/209.28 | (1002) ~ (e2 = e1)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 1002 yields:
% 268.30/209.28 | (329) ~ (e2 = e1)
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (804), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (805) all_0_37_37 = e2
% 268.30/209.28 |
% 268.30/209.28 | Combining equations (1590,805) yields a new equation:
% 268.30/209.28 | (718) e2 = e1
% 268.30/209.28 |
% 268.30/209.28 | Equations (718) can reduce 329 to:
% 268.30/209.28 | (366) $false
% 268.30/209.28 |
% 268.30/209.28 |-The branch is then unsatisfiable
% 268.30/209.28 |-Branch two:
% 268.30/209.28 | (515) ~ (all_0_37_37 = e2)
% 268.30/209.28 | (808) all_0_38_38 = e2 | all_0_39_39 = e2
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (358), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (1165) all_0_38_38 = e4
% 268.30/209.28 |
% 268.30/209.28 | Equations (1165) can reduce 1143 to:
% 268.30/209.28 | (366) $false
% 268.30/209.28 |
% 268.30/209.28 |-The branch is then unsatisfiable
% 268.30/209.28 |-Branch two:
% 268.30/209.28 | (1143) ~ (all_0_38_38 = e4)
% 268.30/209.28 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (808), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (809) all_0_38_38 = e2
% 268.30/209.28 |
% 268.30/209.28 | Equations (809) can reduce 142 to:
% 268.30/209.28 | (666) ~ (all_0_18_18 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Equations (809) can reduce 1143 to:
% 268.30/209.28 | (444) ~ (e4 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 444 yields:
% 268.30/209.28 | (19) ~ (e4 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Equations (809) can reduce 1080 to:
% 268.30/209.28 | (658) ~ (e3 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 658 yields:
% 268.30/209.28 | (56) ~ (e3 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Equations (809) can reduce 428 to:
% 268.30/209.28 | (329) ~ (e2 = e1)
% 268.30/209.28 |
% 268.30/209.28 | Equations (809) can reduce 388 to:
% 268.30/209.28 | (347) ~ (e2 = e0)
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (51), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (736) all_0_20_20 = e2
% 268.30/209.28 |
% 268.30/209.28 | Equations (736) can reduce 167 to:
% 268.30/209.28 | (667) ~ (all_0_24_24 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 667 yields:
% 268.30/209.28 | (668) ~ (all_0_24_24 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Equations (736) can reduce 564 to:
% 268.30/209.28 | (658) ~ (e3 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 658 yields:
% 268.30/209.28 | (56) ~ (e3 = e2)
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (232), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (1970) all_0_17_17 = e3
% 268.30/209.28 |
% 268.30/209.28 | Equations (1970) can reduce 333 to:
% 268.30/209.28 | (561) ~ (all_0_19_19 = e3)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 561 yields:
% 268.30/209.28 | (562) ~ (all_0_19_19 = e3)
% 268.30/209.28 |
% 268.30/209.28 | Equations (1970) can reduce 184 to:
% 268.30/209.28 | (5493) ~ (all_0_22_22 = e3)
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 5493 yields:
% 268.30/209.28 | (774) ~ (all_0_22_22 = e3)
% 268.30/209.28 |
% 268.30/209.28 | Equations (1970) can reduce 459 to:
% 268.30/209.28 | (56) ~ (e3 = e2)
% 268.30/209.28 |
% 268.30/209.28 | Equations (1970) can reduce 1501 to:
% 268.30/209.28 | (318) ~ (e3 = e1)
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (125), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (903) all_0_20_20 = e3
% 268.30/209.28 |
% 268.30/209.28 | Combining equations (903,736) yields a new equation:
% 268.30/209.28 | (3874) e3 = e2
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 3874 yields:
% 268.30/209.28 | (764) e3 = e2
% 268.30/209.28 |
% 268.30/209.28 | Equations (764) can reduce 56 to:
% 268.30/209.28 | (366) $false
% 268.30/209.28 |
% 268.30/209.28 |-The branch is then unsatisfiable
% 268.30/209.28 |-Branch two:
% 268.30/209.28 | (564) ~ (all_0_20_20 = e3)
% 268.30/209.28 | (907) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (907), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (453) all_0_21_21 = e3
% 268.30/209.28 |
% 268.30/209.28 | Combining equations (453,526) yields a new equation:
% 268.30/209.28 | (933) e3 = e1
% 268.30/209.28 |
% 268.30/209.28 | Simplifying 933 yields:
% 268.30/209.28 | (706) e3 = e1
% 268.30/209.28 |
% 268.30/209.28 | Equations (706) can reduce 318 to:
% 268.30/209.28 | (366) $false
% 268.30/209.28 |
% 268.30/209.28 |-The branch is then unsatisfiable
% 268.30/209.28 |-Branch two:
% 268.30/209.28 | (494) ~ (all_0_21_21 = e3)
% 268.30/209.28 | (973) all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (973), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (857) all_0_22_22 = e3
% 268.30/209.28 |
% 268.30/209.28 | Equations (857) can reduce 774 to:
% 268.30/209.28 | (366) $false
% 268.30/209.28 |
% 268.30/209.28 |-The branch is then unsatisfiable
% 268.30/209.28 |-Branch two:
% 268.30/209.28 | (774) ~ (all_0_22_22 = e3)
% 268.30/209.28 | (977) all_0_23_23 = e3 | all_0_24_24 = e3
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (230), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (927) all_0_19_19 = e3
% 268.30/209.28 |
% 268.30/209.28 | Equations (927) can reduce 562 to:
% 268.30/209.28 | (366) $false
% 268.30/209.28 |
% 268.30/209.28 |-The branch is then unsatisfiable
% 268.30/209.28 |-Branch two:
% 268.30/209.28 | (562) ~ (all_0_19_19 = e3)
% 268.30/209.28 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 268.30/209.28 |
% 268.30/209.28 +-Applying beta-rule and splitting (931), into two cases.
% 268.30/209.28 |-Branch one:
% 268.30/209.28 | (939) all_0_24_24 = e3
% 268.30/209.28 |
% 268.30/209.28 | From (939) and (13538) follows:
% 268.45/209.28 | (3902) op(e3, e4) = e0
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (3337), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (3931) ~ (op(e3, e4) = e0)
% 268.45/209.28 |
% 268.45/209.28 | Using (3902) and (3931) yields:
% 268.45/209.28 | (821) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (3902) op(e3, e4) = e0
% 268.45/209.28 | (835) all_0_20_20 = e0
% 268.45/209.28 |
% 268.45/209.28 | Combining equations (736,835) yields a new equation:
% 268.45/209.28 | (836) e2 = e0
% 268.45/209.28 |
% 268.45/209.28 | Simplifying 836 yields:
% 268.45/209.28 | (551) e2 = e0
% 268.45/209.28 |
% 268.45/209.28 | Equations (551) can reduce 347 to:
% 268.45/209.28 | (366) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (963) ~ (all_0_24_24 = e3)
% 268.45/209.28 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (977), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (978) all_0_23_23 = e3
% 268.45/209.28 |
% 268.45/209.28 | Equations (978) can reduce 982 to:
% 268.45/209.28 | (366) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (982) ~ (all_0_23_23 = e3)
% 268.45/209.28 | (939) all_0_24_24 = e3
% 268.45/209.28 |
% 268.45/209.28 | Equations (939) can reduce 963 to:
% 268.45/209.28 | (366) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (558) ~ (all_0_17_17 = e3)
% 268.45/209.28 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (240), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (865) all_0_17_17 = e4
% 268.45/209.28 |
% 268.45/209.28 | Equations (865) can reduce 869 to:
% 268.45/209.28 | (366) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (869) ~ (all_0_17_17 = e4)
% 268.45/209.28 | (1961) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (1961), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (1970) all_0_17_17 = e3
% 268.45/209.28 |
% 268.45/209.28 | Equations (1970) can reduce 558 to:
% 268.45/209.28 | (366) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (558) ~ (all_0_17_17 = e3)
% 268.45/209.28 | (1979) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (1979), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (1980) all_0_17_17 = e2
% 268.45/209.28 |
% 268.45/209.28 | Equations (1980) can reduce 459 to:
% 268.45/209.28 | (366) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (459) ~ (all_0_17_17 = e2)
% 268.45/209.28 | (1983) all_0_17_17 = e1 | all_0_17_17 = e0
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (1983), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (1498) all_0_17_17 = e1
% 268.45/209.28 |
% 268.45/209.28 | Equations (1498) can reduce 1501 to:
% 268.45/209.28 | (366) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (1501) ~ (all_0_17_17 = e1)
% 268.45/209.28 | (823) all_0_17_17 = e0
% 268.45/209.28 |
% 268.45/209.28 | Equations (823) can reduce 74 to:
% 268.45/209.28 | (3378) ~ (all_0_18_18 = e0)
% 268.45/209.28 |
% 268.45/209.28 | Simplifying 3378 yields:
% 268.45/209.28 | (1156) ~ (all_0_18_18 = e0)
% 268.45/209.28 |
% 268.45/209.28 | Equations (823) can reduce 184 to:
% 268.45/209.28 | (825) ~ (all_0_22_22 = e0)
% 268.45/209.28 |
% 268.45/209.28 | Simplifying 825 yields:
% 268.45/209.28 | (826) ~ (all_0_22_22 = e0)
% 268.45/209.28 |
% 268.45/209.28 | Equations (823) can reduce 459 to:
% 268.45/209.28 | (393) ~ (e2 = e0)
% 268.45/209.28 |
% 268.45/209.28 | Simplifying 393 yields:
% 268.45/209.28 | (347) ~ (e2 = e0)
% 268.45/209.28 |
% 268.45/209.28 | Equations (823) can reduce 1501 to:
% 268.45/209.28 | (395) ~ (e1 = e0)
% 268.45/209.28 |
% 268.45/209.28 | Simplifying 395 yields:
% 268.45/209.28 | (37) ~ (e1 = e0)
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (1973), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (857) all_0_22_22 = e3
% 268.45/209.28 |
% 268.45/209.28 | Equations (857) can reduce 268 to:
% 268.45/209.28 | (3506) ~ (all_0_24_24 = e3)
% 268.45/209.28 |
% 268.45/209.28 | Simplifying 3506 yields:
% 268.45/209.28 | (963) ~ (all_0_24_24 = e3)
% 268.45/209.28 |
% 268.45/209.28 | Equations (857) can reduce 63 to:
% 268.45/209.28 | (6619) ~ (all_0_32_32 = e3)
% 268.45/209.28 |
% 268.45/209.28 | Simplifying 6619 yields:
% 268.45/209.28 | (1089) ~ (all_0_32_32 = e3)
% 268.45/209.28 |
% 268.45/209.28 | Equations (857) can reduce 826 to:
% 268.45/209.28 | (88) ~ (e3 = e0)
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (154), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (685) all_0_24_24 = e4
% 268.45/209.28 |
% 268.45/209.28 | Equations (685) can reduce 118 to:
% 268.45/209.28 | (578) ~ (all_0_23_23 = e4)
% 268.45/209.28 |
% 268.45/209.28 | Equations (685) can reduce 963 to:
% 268.45/209.28 | (277) ~ (e4 = e3)
% 268.45/209.28 |
% 268.45/209.28 | Equations (685) can reduce 668 to:
% 268.45/209.28 | (19) ~ (e4 = e2)
% 268.45/209.28 |
% 268.45/209.28 | Equations (685) can reduce 943 to:
% 268.45/209.28 | (65) ~ (e4 = e1)
% 268.45/209.28 |
% 268.45/209.28 | Equations (685) can reduce 382 to:
% 268.45/209.28 | (287) ~ (e4 = e0)
% 268.45/209.28 |
% 268.45/209.28 | From (685) and (7478) follows:
% 268.45/209.28 | (533) op(e4, e4) = e3
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (261), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (1229) all_0_32_32 = e4
% 268.45/209.28 |
% 268.45/209.28 | Equations (1229) can reduce 1089 to:
% 268.45/209.28 | (277) ~ (e4 = e3)
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (31513), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (7213) ~ (op(e4, e4) = e3)
% 268.45/209.28 |
% 268.45/209.28 | Using (533) and (7213) yields:
% 268.45/209.28 | (821) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (533) op(e4, e4) = e3
% 268.45/209.28 | (691) e4 = e3
% 268.45/209.28 |
% 268.45/209.28 | Equations (691) can reduce 277 to:
% 268.45/209.28 | (366) $false
% 268.45/209.28 |
% 268.45/209.28 |-The branch is then unsatisfiable
% 268.45/209.28 |-Branch two:
% 268.45/209.28 | (727) ~ (all_0_32_32 = e4)
% 268.45/209.28 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 268.45/209.28 |
% 268.45/209.28 +-Applying beta-rule and splitting (135), into two cases.
% 268.45/209.28 |-Branch one:
% 268.45/209.28 | (835) all_0_20_20 = e0
% 268.45/209.28 |
% 268.45/209.28 | Combining equations (736,835) yields a new equation:
% 268.46/209.28 | (836) e2 = e0
% 268.46/209.28 |
% 268.46/209.28 | Simplifying 836 yields:
% 268.46/209.28 | (551) e2 = e0
% 268.46/209.28 |
% 268.46/209.28 | Equations (551) can reduce 347 to:
% 268.46/209.28 | (366) $false
% 268.46/209.28 |
% 268.46/209.28 |-The branch is then unsatisfiable
% 268.46/209.28 |-Branch two:
% 268.46/209.28 | (839) ~ (all_0_20_20 = e0)
% 268.46/209.28 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 268.46/209.28 |
% 268.46/209.28 +-Applying beta-rule and splitting (840), into two cases.
% 268.46/209.28 |-Branch one:
% 268.46/209.28 | (529) all_0_21_21 = e0
% 268.46/209.28 |
% 268.46/209.28 | Combining equations (526,529) yields a new equation:
% 268.46/209.28 | (960) e1 = e0
% 268.46/209.28 |
% 268.46/209.28 | Simplifying 960 yields:
% 268.46/209.28 | (961) e1 = e0
% 268.46/209.28 |
% 268.46/209.28 | Equations (961) can reduce 37 to:
% 268.46/209.28 | (366) $false
% 268.46/209.28 |
% 268.46/209.28 |-The branch is then unsatisfiable
% 268.46/209.28 |-Branch two:
% 268.46/209.28 | (398) ~ (all_0_21_21 = e0)
% 268.46/209.28 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (846), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (847) all_0_22_22 = e0
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (857,847) yields a new equation:
% 268.46/209.29 | (979) e3 = e0
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 979 yields:
% 268.46/209.29 | (980) e3 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (980) can reduce 88 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (826) ~ (all_0_22_22 = e0)
% 268.46/209.29 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (850), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (851) all_0_23_23 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (851) can reduce 578 to:
% 268.46/209.29 | (389) ~ (e4 = e0)
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 389 yields:
% 268.46/209.29 | (287) ~ (e4 = e0)
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (59), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (865) all_0_17_17 = e4
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (865,823) yields a new equation:
% 268.46/209.29 | (842) e4 = e0
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 842 yields:
% 268.46/209.29 | (490) e4 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (490) can reduce 287 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (869) ~ (all_0_17_17 = e4)
% 268.46/209.29 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (1148), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (831) all_0_22_22 = e4
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (857,831) yields a new equation:
% 268.46/209.29 | (691) e4 = e3
% 268.46/209.29 |
% 268.46/209.29 | Equations (691) can reduce 277 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (576) ~ (all_0_22_22 = e4)
% 268.46/209.29 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (1152), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (435) all_0_27_27 = e4
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (443,435) yields a new equation:
% 268.46/209.29 | (539) e4 = e2
% 268.46/209.29 |
% 268.46/209.29 | Equations (539) can reduce 19 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (404) ~ (all_0_27_27 = e4)
% 268.46/209.29 | (1222) all_0_32_32 = e4 | all_0_37_37 = e4
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (1222), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (1229) all_0_32_32 = e4
% 268.46/209.29 |
% 268.46/209.29 | Equations (1229) can reduce 727 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (727) ~ (all_0_32_32 = e4)
% 268.46/209.29 | (1232) all_0_37_37 = e4
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (1590,1232) yields a new equation:
% 268.46/209.29 | (480) e4 = e1
% 268.46/209.29 |
% 268.46/209.29 | Equations (480) can reduce 65 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (1068) ~ (all_0_23_23 = e0)
% 268.46/209.29 | (1069) all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (685,1069) yields a new equation:
% 268.46/209.29 | (842) e4 = e0
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 842 yields:
% 268.46/209.29 | (490) e4 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (490) can reduce 287 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (580) ~ (all_0_24_24 = e4)
% 268.46/209.29 | (688) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (135), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (835) all_0_20_20 = e0
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (736,835) yields a new equation:
% 268.46/209.29 | (836) e2 = e0
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 836 yields:
% 268.46/209.29 | (551) e2 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (551) can reduce 347 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (839) ~ (all_0_20_20 = e0)
% 268.46/209.29 | (840) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (840), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (529) all_0_21_21 = e0
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (526,529) yields a new equation:
% 268.46/209.29 | (960) e1 = e0
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 960 yields:
% 268.46/209.29 | (961) e1 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (961) can reduce 37 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (398) ~ (all_0_21_21 = e0)
% 268.46/209.29 | (846) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (846), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (847) all_0_22_22 = e0
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (857,847) yields a new equation:
% 268.46/209.29 | (979) e3 = e0
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 979 yields:
% 268.46/209.29 | (980) e3 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (980) can reduce 88 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (826) ~ (all_0_22_22 = e0)
% 268.46/209.29 | (850) all_0_23_23 = e0 | all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (850), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (851) all_0_23_23 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (851) can reduce 118 to:
% 268.46/209.29 | (9686) ~ (all_0_24_24 = e0)
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 9686 yields:
% 268.46/209.29 | (382) ~ (all_0_24_24 = e0)
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (688), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (939) all_0_24_24 = e3
% 268.46/209.29 |
% 268.46/209.29 | Equations (939) can reduce 963 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (963) ~ (all_0_24_24 = e3)
% 268.46/209.29 | (968) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (968), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (1393) all_0_24_24 = e2
% 268.46/209.29 |
% 268.46/209.29 | Equations (1393) can reduce 668 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (668) ~ (all_0_24_24 = e2)
% 268.46/209.29 | (2760) all_0_24_24 = e1 | all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (2760), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (940) all_0_24_24 = e1
% 268.46/209.29 |
% 268.46/209.29 | Equations (940) can reduce 943 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (943) ~ (all_0_24_24 = e1)
% 268.46/209.29 | (1069) all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (1069) can reduce 382 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (1068) ~ (all_0_23_23 = e0)
% 268.46/209.29 | (1069) all_0_24_24 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (1069) can reduce 382 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (774) ~ (all_0_22_22 = e3)
% 268.46/209.29 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (3115), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (439) all_0_27_27 = e3
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (443,439) yields a new equation:
% 268.46/209.29 | (764) e3 = e2
% 268.46/209.29 |
% 268.46/209.29 | Equations (764) can reduce 56 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (400) ~ (all_0_27_27 = e3)
% 268.46/209.29 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (26), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (887) all_0_18_18 = e4
% 268.46/209.29 |
% 268.46/209.29 | Equations (887) can reduce 1046 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (1046) ~ (all_0_18_18 = e4)
% 268.46/209.29 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (259), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (1278) all_0_18_18 = e1
% 268.46/209.29 |
% 268.46/209.29 | Equations (1278) can reduce 560 to:
% 268.46/209.29 | (429) ~ (e3 = e1)
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 429 yields:
% 268.46/209.29 | (318) ~ (e3 = e1)
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (3120), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (772) all_0_32_32 = e3
% 268.46/209.29 |
% 268.46/209.29 | Equations (772) can reduce 1089 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (1089) ~ (all_0_32_32 = e3)
% 268.46/209.29 | (1073) all_0_37_37 = e3
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (1590,1073) yields a new equation:
% 268.46/209.29 | (706) e3 = e1
% 268.46/209.29 |
% 268.46/209.29 | Equations (706) can reduce 318 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (419) ~ (all_0_18_18 = e1)
% 268.46/209.29 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (1047), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (1134) all_0_18_18 = e3
% 268.46/209.29 |
% 268.46/209.29 | Equations (1134) can reduce 560 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (560) ~ (all_0_18_18 = e3)
% 268.46/209.29 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (1270), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (1274) all_0_18_18 = e2
% 268.46/209.29 |
% 268.46/209.29 | Equations (1274) can reduce 666 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (666) ~ (all_0_18_18 = e2)
% 268.46/209.29 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (185), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (1153) all_0_18_18 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (1153) can reduce 1156 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (1156) ~ (all_0_18_18 = e0)
% 268.46/209.29 | (1157) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (1277), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (1278) all_0_18_18 = e1
% 268.46/209.29 |
% 268.46/209.29 | Equations (1278) can reduce 419 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (419) ~ (all_0_18_18 = e1)
% 268.46/209.29 | (1153) all_0_18_18 = e0
% 268.46/209.29 |
% 268.46/209.29 | Equations (1153) can reduce 1156 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (1114) ~ (all_0_20_20 = e2)
% 268.46/209.29 | (1115) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (231), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (1453) all_0_20_20 = e4
% 268.46/209.29 |
% 268.46/209.29 | Equations (1453) can reduce 496 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (496) ~ (all_0_20_20 = e4)
% 268.46/209.29 | (2301) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (162), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (472) all_0_15_15 = e2
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (472,464) yields a new equation:
% 268.46/209.29 | (539) e4 = e2
% 268.46/209.29 |
% 268.46/209.29 | Equations (539) can reduce 19 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (447) ~ (all_0_15_15 = e2)
% 268.46/209.29 | (2921) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (2921), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (736) all_0_20_20 = e2
% 268.46/209.29 |
% 268.46/209.29 | Equations (736) can reduce 1114 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (1114) ~ (all_0_20_20 = e2)
% 268.46/209.29 | (10030) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (1115), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (522) all_0_21_21 = e2
% 268.46/209.29 |
% 268.46/209.29 | Combining equations (522,526) yields a new equation:
% 268.46/209.29 | (717) e2 = e1
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 717 yields:
% 268.46/209.29 | (718) e2 = e1
% 268.46/209.29 |
% 268.46/209.29 | Equations (718) can reduce 329 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (361) ~ (all_0_21_21 = e2)
% 268.46/209.29 | (1121) all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 268.46/209.29 |
% 268.46/209.29 | Equations (526) can reduce 361 to:
% 268.46/209.29 | (1002) ~ (e2 = e1)
% 268.46/209.29 |
% 268.46/209.29 | Simplifying 1002 yields:
% 268.46/209.29 | (329) ~ (e2 = e1)
% 268.46/209.29 |
% 268.46/209.29 +-Applying beta-rule and splitting (10030), into two cases.
% 268.46/209.29 |-Branch one:
% 268.46/209.29 | (3159) all_0_25_25 = e2
% 268.46/209.29 |
% 268.46/209.29 | Equations (3159) can reduce 646 to:
% 268.46/209.29 | (366) $false
% 268.46/209.29 |
% 268.46/209.29 |-The branch is then unsatisfiable
% 268.46/209.29 |-Branch two:
% 268.46/209.29 | (646) ~ (all_0_25_25 = e2)
% 268.46/209.29 | (16274) all_0_30_30 = e2 | all_0_35_35 = e2
% 268.46/209.29 |
% 268.46/209.30 +-Applying beta-rule and splitting (16274), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (747) all_0_30_30 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (747) can reduce 116 to:
% 268.46/209.30 | (1114) ~ (all_0_20_20 = e2)
% 268.46/209.30 |
% 268.46/209.30 | Equations (747) can reduce 217 to:
% 268.46/209.30 | (1608) ~ (all_0_31_31 = e2)
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 1608 yields:
% 268.46/209.30 | (1099) ~ (all_0_31_31 = e2)
% 268.46/209.30 |
% 268.46/209.30 | Equations (747) can reduce 15 to:
% 268.46/209.30 | (671) ~ (all_0_34_34 = e2)
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 671 yields:
% 268.46/209.30 | (672) ~ (all_0_34_34 = e2)
% 268.46/209.30 |
% 268.46/209.30 | Equations (747) can reduce 509 to:
% 268.46/209.30 | (444) ~ (e4 = e2)
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 444 yields:
% 268.46/209.30 | (19) ~ (e4 = e2)
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (2301), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (903) all_0_20_20 = e3
% 268.46/209.30 |
% 268.46/209.30 | Equations (903) can reduce 564 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (564) ~ (all_0_20_20 = e3)
% 268.46/209.30 | (2305) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (29), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (476) all_0_15_15 = e1
% 268.46/209.30 |
% 268.46/209.30 | Combining equations (476,464) yields a new equation:
% 268.46/209.30 | (480) e4 = e1
% 268.46/209.30 |
% 268.46/209.30 | Equations (480) can reduce 65 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (482) ~ (all_0_15_15 = e1)
% 268.46/209.30 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (340), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (697) all_0_16_16 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (697) can reduce 236 to:
% 268.46/209.30 | (7443) ~ (all_0_19_19 = e2)
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 7443 yields:
% 268.46/209.30 | (2785) ~ (all_0_19_19 = e2)
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (937), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (1175) all_0_20_20 = e1
% 268.46/209.30 |
% 268.46/209.30 | Equations (1175) can reduce 1409 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (1409) ~ (all_0_20_20 = e1)
% 268.46/209.30 | (1656) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (2305), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (736) all_0_20_20 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (736) can reduce 1114 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (1114) ~ (all_0_20_20 = e2)
% 268.46/209.30 | (2309) all_0_20_20 = e1 | all_0_20_20 = e0
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (192), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (663) all_0_19_19 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (663) can reduce 2785 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (2785) ~ (all_0_19_19 = e2)
% 268.46/209.30 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (2309), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (1175) all_0_20_20 = e1
% 268.46/209.30 |
% 268.46/209.30 | Equations (1175) can reduce 1409 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (1409) ~ (all_0_20_20 = e1)
% 268.46/209.30 | (835) all_0_20_20 = e0
% 268.46/209.30 |
% 268.46/209.30 | Equations (835) can reduce 95 to:
% 268.46/209.30 | (3147) ~ (all_0_25_25 = e0)
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 3147 yields:
% 268.46/209.30 | (1925) ~ (all_0_25_25 = e0)
% 268.46/209.30 |
% 268.46/209.30 | Equations (835) can reduce 1114 to:
% 268.46/209.30 | (393) ~ (e2 = e0)
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 393 yields:
% 268.46/209.30 | (347) ~ (e2 = e0)
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (2786), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (1393) all_0_24_24 = e2
% 268.46/209.30 |
% 268.46/209.30 | From (1393) and (13538) follows:
% 268.46/209.30 | (2263) op(e2, e4) = e0
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (1747), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (2264) ~ (op(e2, e4) = e0)
% 268.46/209.30 |
% 268.46/209.30 | Using (2263) and (2264) yields:
% 268.46/209.30 | (821) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (2263) op(e2, e4) = e0
% 268.46/209.30 | (1921) all_0_25_25 = e0
% 268.46/209.30 |
% 268.46/209.30 | Equations (1921) can reduce 1925 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (668) ~ (all_0_24_24 = e2)
% 268.46/209.30 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (4102), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (4103) all_0_29_29 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (4103) can reduce 651 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (651) ~ (all_0_29_29 = e2)
% 268.46/209.30 | (4106) all_0_34_34 = e2 | all_0_39_39 = e2
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (4106), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (1110) all_0_34_34 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (1110) can reduce 672 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (672) ~ (all_0_34_34 = e2)
% 268.46/209.30 | (373) all_0_39_39 = e2
% 268.46/209.30 |
% 268.46/209.30 | Combining equations (380,373) yields a new equation:
% 268.46/209.30 | (551) e2 = e0
% 268.46/209.30 |
% 268.46/209.30 | Equations (551) can reduce 347 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (664) ~ (all_0_16_16 = e2)
% 268.46/209.30 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (700), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (522) all_0_21_21 = e2
% 268.46/209.30 |
% 268.46/209.30 | Combining equations (522,526) yields a new equation:
% 268.46/209.30 | (717) e2 = e1
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 717 yields:
% 268.46/209.30 | (718) e2 = e1
% 268.46/209.30 |
% 268.46/209.30 | Equations (718) can reduce 329 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (361) ~ (all_0_21_21 = e2)
% 268.46/209.30 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (2289), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (2380) all_0_26_26 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (2380) can reduce 647 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (647) ~ (all_0_26_26 = e2)
% 268.46/209.30 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 268.46/209.30 |
% 268.46/209.30 +-Applying beta-rule and splitting (2383), into two cases.
% 268.46/209.30 |-Branch one:
% 268.46/209.30 | (751) all_0_31_31 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (751) can reduce 1099 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (1099) ~ (all_0_31_31 = e2)
% 268.46/209.30 | (801) all_0_36_36 = e2
% 268.46/209.30 |
% 268.46/209.30 | Combining equations (2611,801) yields a new equation:
% 268.46/209.30 | (1111) e4 = e2
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 1111 yields:
% 268.46/209.30 | (539) e4 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (539) can reduce 19 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.46/209.30 |-Branch two:
% 268.46/209.30 | (740) ~ (all_0_30_30 = e2)
% 268.46/209.30 | (797) all_0_35_35 = e2
% 268.46/209.30 |
% 268.46/209.30 | Combining equations (814,797) yields a new equation:
% 268.46/209.30 | (3874) e3 = e2
% 268.46/209.30 |
% 268.46/209.30 | Simplifying 3874 yields:
% 268.46/209.30 | (764) e3 = e2
% 268.46/209.30 |
% 268.46/209.30 | Equations (764) can reduce 56 to:
% 268.46/209.30 | (366) $false
% 268.46/209.30 |
% 268.46/209.30 |-The branch is then unsatisfiable
% 268.50/209.30 |-Branch two:
% 268.50/209.30 | (1084) ~ (all_0_38_38 = e2)
% 268.50/209.30 | (373) all_0_39_39 = e2
% 268.50/209.30 |
% 268.50/209.30 | Combining equations (373,380) yields a new equation:
% 268.50/209.30 | (836) e2 = e0
% 268.50/209.30 |
% 268.50/209.30 | Simplifying 836 yields:
% 268.50/209.30 | (551) e2 = e0
% 268.50/209.30 |
% 268.50/209.30 | Equations (551) can reduce 347 to:
% 268.50/209.30 | (366) $false
% 268.50/209.30 |
% 268.50/209.30 |-The branch is then unsatisfiable
% 268.50/209.30 |-Branch two:
% 268.50/209.30 | (2562) ~ (all_0_37_37 = e1)
% 268.50/209.30 | (3111) all_0_37_37 = e0
% 268.50/209.30 |
% 268.50/209.30 | Equations (3111) can reduce 387 to:
% 268.50/209.30 | (366) $false
% 268.50/209.30 |
% 268.50/209.30 |-The branch is then unsatisfiable
% 268.50/209.30 |-Branch two:
% 268.50/209.30 | (570) ~ (all_0_35_35 = e3)
% 268.50/209.30 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 268.50/209.30 |
% 268.50/209.30 +-Applying beta-rule and splitting (817), into two cases.
% 268.50/209.30 |-Branch one:
% 268.50/209.30 | (818) all_0_36_36 = e3
% 268.50/209.30 |
% 268.50/209.30 | Combining equations (2611,818) yields a new equation:
% 268.50/209.30 | (690) e4 = e3
% 268.50/209.30 |
% 268.50/209.30 | Simplifying 690 yields:
% 268.50/209.30 | (691) e4 = e3
% 268.50/209.30 |
% 268.50/209.30 | Equations (691) can reduce 277 to:
% 268.50/209.30 | (366) $false
% 268.50/209.30 |
% 268.50/209.30 |-The branch is then unsatisfiable
% 268.50/209.30 |-Branch two:
% 268.50/209.30 | (516) ~ (all_0_36_36 = e3)
% 268.50/209.30 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 268.50/209.30 |
% 268.50/209.30 +-Applying beta-rule and splitting (1072), into two cases.
% 268.50/209.30 |-Branch one:
% 268.50/209.30 | (1073) all_0_37_37 = e3
% 268.50/209.30 |
% 268.50/209.30 | Equations (1073) can reduce 202 to:
% 268.50/209.30 | (774) ~ (all_0_22_22 = e3)
% 268.50/209.30 |
% 268.50/209.30 | Equations (1073) can reduce 121 to:
% 268.50/209.30 | (570) ~ (all_0_35_35 = e3)
% 268.50/209.30 |
% 268.50/209.30 | Equations (1073) can reduce 2658 to:
% 268.50/209.30 | (695) ~ (e4 = e3)
% 268.50/209.30 |
% 268.50/209.30 | Simplifying 695 yields:
% 268.50/209.30 | (277) ~ (e4 = e3)
% 268.50/209.30 |
% 268.50/209.30 | Equations (1073) can reduce 515 to:
% 268.50/209.30 | (56) ~ (e3 = e2)
% 268.50/209.30 |
% 268.50/209.30 | Equations (1073) can reduce 387 to:
% 268.50/209.30 | (88) ~ (e3 = e0)
% 268.50/209.30 |
% 268.50/209.30 +-Applying beta-rule and splitting (94), into two cases.
% 268.50/209.30 |-Branch one:
% 268.50/209.30 | (1287) all_0_16_16 = e3
% 268.50/209.30 |
% 268.50/209.30 | Equations (1287) can reduce 236 to:
% 268.50/209.30 | (561) ~ (all_0_19_19 = e3)
% 268.50/209.30 |
% 268.50/209.30 | Simplifying 561 yields:
% 268.50/209.30 | (562) ~ (all_0_19_19 = e3)
% 268.50/209.30 |
% 268.50/209.30 | Equations (1287) can reduce 573 to:
% 268.50/209.30 | (695) ~ (e4 = e3)
% 268.50/209.30 |
% 268.50/209.30 | Simplifying 695 yields:
% 268.50/209.30 | (277) ~ (e4 = e3)
% 268.50/209.30 |
% 268.50/209.30 +-Applying beta-rule and splitting (340), into two cases.
% 268.50/209.30 |-Branch one:
% 268.50/209.30 | (697) all_0_16_16 = e2
% 268.50/209.30 |
% 268.50/209.30 | Combining equations (1287,697) yields a new equation:
% 268.50/209.30 | (3874) e3 = e2
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 3874 yields:
% 268.50/209.31 | (764) e3 = e2
% 268.50/209.31 |
% 268.50/209.31 | Equations (764) can reduce 56 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (664) ~ (all_0_16_16 = e2)
% 268.50/209.31 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (700), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (522) all_0_21_21 = e2
% 268.50/209.31 |
% 268.50/209.31 | Combining equations (522,526) yields a new equation:
% 268.50/209.31 | (717) e2 = e1
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 717 yields:
% 268.50/209.31 | (718) e2 = e1
% 268.50/209.31 |
% 268.50/209.31 | Equations (718) can reduce 329 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (361) ~ (all_0_21_21 = e2)
% 268.50/209.31 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (2289), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (2380) all_0_26_26 = e2
% 268.50/209.31 |
% 268.50/209.31 | Equations (2380) can reduce 647 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (647) ~ (all_0_26_26 = e2)
% 268.50/209.31 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (2383), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (751) all_0_31_31 = e2
% 268.50/209.31 |
% 268.50/209.31 | Equations (751) can reduce 188 to:
% 268.50/209.31 | (671) ~ (all_0_34_34 = e2)
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 671 yields:
% 268.50/209.31 | (672) ~ (all_0_34_34 = e2)
% 268.50/209.31 |
% 268.50/209.31 | Equations (751) can reduce 584 to:
% 268.50/209.31 | (444) ~ (e4 = e2)
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 444 yields:
% 268.50/209.31 | (19) ~ (e4 = e2)
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (279), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (873) all_0_16_16 = e0
% 268.50/209.31 |
% 268.50/209.31 | Combining equations (1287,873) yields a new equation:
% 268.50/209.31 | (979) e3 = e0
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 979 yields:
% 268.50/209.31 | (980) e3 = e0
% 268.50/209.31 |
% 268.50/209.31 | Equations (980) can reduce 88 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (824) ~ (all_0_16_16 = e0)
% 268.50/209.31 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (876), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (529) all_0_21_21 = e0
% 268.50/209.31 |
% 268.50/209.31 | Combining equations (529,526) yields a new equation:
% 268.50/209.31 | (961) e1 = e0
% 268.50/209.31 |
% 268.50/209.31 | Equations (961) can reduce 37 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (398) ~ (all_0_21_21 = e0)
% 268.50/209.31 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (882), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (883) all_0_26_26 = e0
% 268.50/209.31 |
% 268.50/209.31 | Equations (883) can reduce 128 to:
% 268.50/209.31 | (1925) ~ (all_0_25_25 = e0)
% 268.50/209.31 |
% 268.50/209.31 | From (883) and (234) follows:
% 268.50/209.31 | (31963) op(all_0_22_22, e0) = e2
% 268.50/209.31 |
% 268.50/209.31 | From (883) and (147) follows:
% 268.50/209.31 | (31964) op(e0, all_0_22_22) = e3
% 268.50/209.31 |
% 268.50/209.31 | Instantiating formula (97) with e0, e0, e2, e0 and discharging atoms op(e0, e0) = e0, yields:
% 268.50/209.31 | (2904) e2 = e0 | ~ (op(e0, e0) = e2)
% 268.50/209.31 |
% 268.50/209.31 | Instantiating formula (97) with e0, e4, e3, all_0_35_35 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 268.50/209.31 | (5591) all_0_35_35 = e3 | ~ (op(e0, e4) = e3)
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (127), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (790) all_0_30_30 = e0
% 268.50/209.31 |
% 268.50/209.31 | Equations (790) can reduce 15 to:
% 268.50/209.31 | (2963) ~ (all_0_34_34 = e0)
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 2963 yields:
% 268.50/209.31 | (384) ~ (all_0_34_34 = e0)
% 268.50/209.31 |
% 268.50/209.31 | Equations (790) can reduce 509 to:
% 268.50/209.31 | (389) ~ (e4 = e0)
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 389 yields:
% 268.50/209.31 | (287) ~ (e4 = e0)
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (29), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (476) all_0_15_15 = e1
% 268.50/209.31 |
% 268.50/209.31 | Combining equations (476,464) yields a new equation:
% 268.50/209.31 | (480) e4 = e1
% 268.50/209.31 |
% 268.50/209.31 | Equations (480) can reduce 65 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (482) ~ (all_0_15_15 = e1)
% 268.50/209.31 | (937) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 268.50/209.31 |
% 268.50/209.31 | Equations (464) can reduce 482 to:
% 268.50/209.31 | (65) ~ (e4 = e1)
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (225), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (711) all_0_19_19 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (711) can reduce 714 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (714) ~ (all_0_19_19 = e4)
% 268.50/209.31 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (83), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (723) all_0_34_34 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (723) can reduce 4 to:
% 268.50/209.31 | (580) ~ (all_0_24_24 = e4)
% 268.50/209.31 |
% 268.50/209.31 | Equations (723) can reduce 41 to:
% 268.50/209.31 | (724) ~ (all_0_29_29 = e4)
% 268.50/209.31 |
% 268.50/209.31 | Equations (723) can reduce 672 to:
% 268.50/209.31 | (19) ~ (e4 = e2)
% 268.50/209.31 |
% 268.50/209.31 | Equations (723) can reduce 384 to:
% 268.50/209.31 | (287) ~ (e4 = e0)
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (285), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (1158) all_0_25_25 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (1158) can reduce 501 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (501) ~ (all_0_25_25 = e4)
% 268.50/209.31 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (59), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (865) all_0_17_17 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (865) can reduce 869 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (869) ~ (all_0_17_17 = e4)
% 268.50/209.31 | (1148) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (1217), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (1237) all_0_26_26 = e4
% 268.50/209.31 |
% 268.50/209.31 | Combining equations (1237,883) yields a new equation:
% 268.50/209.31 | (842) e4 = e0
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 842 yields:
% 268.50/209.31 | (490) e4 = e0
% 268.50/209.31 |
% 268.50/209.31 | Equations (490) can reduce 287 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (582) ~ (all_0_26_26 = e4)
% 268.50/209.31 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (1148), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (831) all_0_22_22 = e4
% 268.50/209.31 |
% 268.50/209.31 | From (831) and (31964) follows:
% 268.50/209.31 | (5803) op(e0, e4) = e3
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (5591), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (5811) ~ (op(e0, e4) = e3)
% 268.50/209.31 |
% 268.50/209.31 | Using (5803) and (5811) yields:
% 268.50/209.31 | (821) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (5803) op(e0, e4) = e3
% 268.50/209.31 | (814) all_0_35_35 = e3
% 268.50/209.31 |
% 268.50/209.31 | Equations (814) can reduce 570 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (576) ~ (all_0_22_22 = e4)
% 268.50/209.31 | (1152) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (256), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (1453) all_0_20_20 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (1453) can reduce 496 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (496) ~ (all_0_20_20 = e4)
% 268.50/209.31 | (7219) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (1240), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (435) all_0_27_27 = e4
% 268.50/209.31 |
% 268.50/209.31 | Combining equations (443,435) yields a new equation:
% 268.50/209.31 | (539) e4 = e2
% 268.50/209.31 |
% 268.50/209.31 | Equations (539) can reduce 19 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (404) ~ (all_0_27_27 = e4)
% 268.50/209.31 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (7219), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (449) all_0_21_21 = e4
% 268.50/209.31 |
% 268.50/209.31 | Combining equations (449,526) yields a new equation:
% 268.50/209.31 | (955) e4 = e1
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 955 yields:
% 268.50/209.31 | (480) e4 = e1
% 268.50/209.31 |
% 268.50/209.31 | Equations (480) can reduce 65 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (448) ~ (all_0_21_21 = e4)
% 268.50/209.31 | (7224) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (7224), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (831) all_0_22_22 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (831) can reduce 576 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (576) ~ (all_0_22_22 = e4)
% 268.50/209.31 | (7426) all_0_23_23 = e4 | all_0_24_24 = e4
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (7426), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (1515) all_0_23_23 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (1515) can reduce 86 to:
% 268.50/209.31 | (889) ~ (all_0_28_28 = e4)
% 268.50/209.31 |
% 268.50/209.31 | Simplifying 889 yields:
% 268.50/209.31 | (890) ~ (all_0_28_28 = e4)
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (1245), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (892) all_0_28_28 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (892) can reduce 890 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (890) ~ (all_0_28_28 = e4)
% 268.50/209.31 | (1250) all_0_29_29 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (1250) can reduce 724 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (578) ~ (all_0_23_23 = e4)
% 268.50/209.31 | (685) all_0_24_24 = e4
% 268.50/209.31 |
% 268.50/209.31 | Equations (685) can reduce 580 to:
% 268.50/209.31 | (366) $false
% 268.50/209.31 |
% 268.50/209.31 |-The branch is then unsatisfiable
% 268.50/209.31 |-Branch two:
% 268.50/209.31 | (1395) ~ (all_0_34_34 = e4)
% 268.50/209.31 | (1396) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 268.50/209.31 |
% 268.50/209.31 +-Applying beta-rule and splitting (327), into two cases.
% 268.50/209.31 |-Branch one:
% 268.50/209.31 | (768) all_0_30_30 = e4
% 268.50/209.31 |
% 268.52/209.31 | Combining equations (790,768) yields a new equation:
% 268.52/209.31 | (490) e4 = e0
% 268.52/209.31 |
% 268.52/209.32 | Equations (490) can reduce 287 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (509) ~ (all_0_30_30 = e4)
% 268.52/209.32 | (1437) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1396), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (1027) all_0_34_34 = e3
% 268.52/209.32 |
% 268.52/209.32 | Equations (1027) can reduce 1031 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (1031) ~ (all_0_34_34 = e3)
% 268.52/209.32 | (1709) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1709), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (1110) all_0_34_34 = e2
% 268.52/209.32 |
% 268.52/209.32 | Equations (1110) can reduce 672 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (672) ~ (all_0_34_34 = e2)
% 268.52/209.32 | (1713) all_0_34_34 = e1 | all_0_34_34 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1437), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (1446) all_0_31_31 = e4
% 268.52/209.32 |
% 268.52/209.32 | Combining equations (751,1446) yields a new equation:
% 268.52/209.32 | (539) e4 = e2
% 268.52/209.32 |
% 268.52/209.32 | Equations (539) can reduce 19 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (584) ~ (all_0_31_31 = e4)
% 268.52/209.32 | (1449) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1449), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (1229) all_0_32_32 = e4
% 268.52/209.32 |
% 268.52/209.32 | Equations (1229) can reduce 63 to:
% 268.52/209.32 | (576) ~ (all_0_22_22 = e4)
% 268.52/209.32 |
% 268.52/209.32 | Equations (1229) can reduce 199 to:
% 268.52/209.32 | (2206) ~ (all_0_34_34 = e4)
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 2206 yields:
% 268.52/209.32 | (1395) ~ (all_0_34_34 = e4)
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1713), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (954) all_0_34_34 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (954) can reduce 280 to:
% 268.52/209.32 | (720) ~ (all_0_19_19 = e1)
% 268.52/209.32 |
% 268.52/209.32 | Equations (954) can reduce 1395 to:
% 268.52/209.32 | (477) ~ (e4 = e1)
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 477 yields:
% 268.52/209.32 | (65) ~ (e4 = e1)
% 268.52/209.32 |
% 268.52/209.32 | Equations (954) can reduce 1031 to:
% 268.52/209.32 | (429) ~ (e3 = e1)
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 429 yields:
% 268.52/209.32 | (318) ~ (e3 = e1)
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (4311), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (927) all_0_19_19 = e3
% 268.52/209.32 |
% 268.52/209.32 | Equations (927) can reduce 562 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (562) ~ (all_0_19_19 = e3)
% 268.52/209.32 | (4315) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (4315), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (663) all_0_19_19 = e2
% 268.52/209.32 |
% 268.52/209.32 | Equations (663) can reduce 720 to:
% 268.52/209.32 | (329) ~ (e2 = e1)
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (153), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (831) all_0_22_22 = e4
% 268.52/209.32 |
% 268.52/209.32 | Equations (831) can reduce 576 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (576) ~ (all_0_22_22 = e4)
% 268.52/209.32 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (17), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (1498) all_0_17_17 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (1498) can reduce 184 to:
% 268.52/209.32 | (3383) ~ (all_0_22_22 = e1)
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 3383 yields:
% 268.52/209.32 | (1018) ~ (all_0_22_22 = e1)
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (834), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (857) all_0_22_22 = e3
% 268.52/209.32 |
% 268.52/209.32 | Equations (857) can reduce 774 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (774) ~ (all_0_22_22 = e3)
% 268.52/209.32 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (860), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (917) all_0_22_22 = e2
% 268.52/209.32 |
% 268.52/209.32 | Equations (917) can reduce 493 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (493) ~ (all_0_22_22 = e2)
% 268.52/209.32 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (920), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (999) all_0_22_22 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (999) can reduce 1018 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (1018) ~ (all_0_22_22 = e1)
% 268.52/209.32 | (847) all_0_22_22 = e0
% 268.52/209.32 |
% 268.52/209.32 | Equations (847) can reduce 493 to:
% 268.52/209.32 | (393) ~ (e2 = e0)
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 393 yields:
% 268.52/209.32 | (347) ~ (e2 = e0)
% 268.52/209.32 |
% 268.52/209.32 | From (847) and (31963) follows:
% 268.52/209.32 | (550) op(e0, e0) = e2
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (2904), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (3074) ~ (op(e0, e0) = e2)
% 268.52/209.32 |
% 268.52/209.32 | Using (550) and (3074) yields:
% 268.52/209.32 | (821) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (550) op(e0, e0) = e2
% 268.52/209.32 | (551) e2 = e0
% 268.52/209.32 |
% 268.52/209.32 | Equations (551) can reduce 347 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (1501) ~ (all_0_17_17 = e1)
% 268.52/209.32 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (323), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (476) all_0_15_15 = e1
% 268.52/209.32 |
% 268.52/209.32 | Combining equations (464,476) yields a new equation:
% 268.52/209.32 | (955) e4 = e1
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 955 yields:
% 268.52/209.32 | (480) e4 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (480) can reduce 65 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (482) ~ (all_0_15_15 = e1)
% 268.52/209.32 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (464) can reduce 482 to:
% 268.52/209.32 | (65) ~ (e4 = e1)
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1502), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (999) all_0_22_22 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (999) can reduce 1018 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (1018) ~ (all_0_22_22 = e1)
% 268.52/209.32 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1566), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (543) all_0_27_27 = e1
% 268.52/209.32 |
% 268.52/209.32 | Combining equations (443,543) yields a new equation:
% 268.52/209.32 | (717) e2 = e1
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 717 yields:
% 268.52/209.32 | (718) e2 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (718) can reduce 329 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (402) ~ (all_0_27_27 = e1)
% 268.52/209.32 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1586), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (1587) all_0_32_32 = e1
% 268.52/209.32 |
% 268.52/209.32 | Combining equations (1587,1229) yields a new equation:
% 268.52/209.32 | (480) e4 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (480) can reduce 65 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (424) ~ (all_0_32_32 = e1)
% 268.52/209.32 | (1590) all_0_37_37 = e1
% 268.52/209.32 |
% 268.52/209.32 | Combining equations (1073,1590) yields a new equation:
% 268.52/209.32 | (933) e3 = e1
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 933 yields:
% 268.52/209.32 | (706) e3 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (706) can reduce 318 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (2785) ~ (all_0_19_19 = e2)
% 268.52/209.32 | (4319) all_0_19_19 = e1 | all_0_19_19 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (4319), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (716) all_0_19_19 = e1
% 268.52/209.32 |
% 268.52/209.32 | Equations (716) can reduce 720 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (720) ~ (all_0_19_19 = e1)
% 268.52/209.32 | (2703) all_0_19_19 = e0
% 268.52/209.32 |
% 268.52/209.32 | Equations (2703) can reduce 381 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (426) ~ (all_0_34_34 = e1)
% 268.52/209.32 | (1717) all_0_34_34 = e0
% 268.52/209.32 |
% 268.52/209.32 | Equations (1717) can reduce 384 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (727) ~ (all_0_32_32 = e4)
% 268.52/209.32 | (1476) all_0_33_33 = e4 | all_0_34_34 = e4
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1476), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (406) all_0_33_33 = e4
% 268.52/209.32 |
% 268.52/209.32 | Combining equations (410,406) yields a new equation:
% 268.52/209.32 | (691) e4 = e3
% 268.52/209.32 |
% 268.52/209.32 | Equations (691) can reduce 277 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (405) ~ (all_0_33_33 = e4)
% 268.52/209.32 | (723) all_0_34_34 = e4
% 268.52/209.32 |
% 268.52/209.32 | Equations (723) can reduce 1395 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (1878) ~ (all_0_30_30 = e0)
% 268.52/209.32 | (1879) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (1889), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (835) all_0_20_20 = e0
% 268.52/209.32 |
% 268.52/209.32 | Equations (835) can reduce 211 to:
% 268.52/209.32 | (825) ~ (all_0_22_22 = e0)
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 825 yields:
% 268.52/209.32 | (826) ~ (all_0_22_22 = e0)
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (222), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (823) all_0_17_17 = e0
% 268.52/209.32 |
% 268.52/209.32 | Equations (823) can reduce 184 to:
% 268.52/209.32 | (825) ~ (all_0_22_22 = e0)
% 268.52/209.32 |
% 268.52/209.32 | Simplifying 825 yields:
% 268.52/209.32 | (826) ~ (all_0_22_22 = e0)
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (153), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (831) all_0_22_22 = e4
% 268.52/209.32 |
% 268.52/209.32 | From (831) and (31964) follows:
% 268.52/209.32 | (5803) op(e0, e4) = e3
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (5591), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (5811) ~ (op(e0, e4) = e3)
% 268.52/209.32 |
% 268.52/209.32 | Using (5803) and (5811) yields:
% 268.52/209.32 | (821) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (5803) op(e0, e4) = e3
% 268.52/209.32 | (814) all_0_35_35 = e3
% 268.52/209.32 |
% 268.52/209.32 | Equations (814) can reduce 570 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (576) ~ (all_0_22_22 = e4)
% 268.52/209.32 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (834), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.32 | (857) all_0_22_22 = e3
% 268.52/209.32 |
% 268.52/209.32 | Equations (857) can reduce 774 to:
% 268.52/209.32 | (366) $false
% 268.52/209.32 |
% 268.52/209.32 |-The branch is then unsatisfiable
% 268.52/209.32 |-Branch two:
% 268.52/209.32 | (774) ~ (all_0_22_22 = e3)
% 268.52/209.32 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.32 |
% 268.52/209.32 +-Applying beta-rule and splitting (860), into two cases.
% 268.52/209.32 |-Branch one:
% 268.52/209.33 | (917) all_0_22_22 = e2
% 268.52/209.33 |
% 268.52/209.33 | Equations (917) can reduce 493 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (493) ~ (all_0_22_22 = e2)
% 268.52/209.33 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (920), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (999) all_0_22_22 = e1
% 268.52/209.33 |
% 268.52/209.33 | Equations (999) can reduce 1018 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (1018) ~ (all_0_22_22 = e1)
% 268.52/209.33 | (847) all_0_22_22 = e0
% 268.52/209.33 |
% 268.52/209.33 | Equations (847) can reduce 826 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (2422) ~ (all_0_17_17 = e0)
% 268.52/209.33 | (2515) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (2515), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (847) all_0_22_22 = e0
% 268.52/209.33 |
% 268.52/209.33 | Equations (847) can reduce 826 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (826) ~ (all_0_22_22 = e0)
% 268.52/209.33 | (3101) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (153), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (831) all_0_22_22 = e4
% 268.52/209.33 |
% 268.52/209.33 | From (831) and (31964) follows:
% 268.52/209.33 | (5803) op(e0, e4) = e3
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (5591), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (5811) ~ (op(e0, e4) = e3)
% 268.52/209.33 |
% 268.52/209.33 | Using (5803) and (5811) yields:
% 268.52/209.33 | (821) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (5803) op(e0, e4) = e3
% 268.52/209.33 | (814) all_0_35_35 = e3
% 268.52/209.33 |
% 268.52/209.33 | Equations (814) can reduce 570 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (576) ~ (all_0_22_22 = e4)
% 268.52/209.33 | (834) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (834), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (857) all_0_22_22 = e3
% 268.52/209.33 |
% 268.52/209.33 | Equations (857) can reduce 774 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (774) ~ (all_0_22_22 = e3)
% 268.52/209.33 | (860) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (860), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (917) all_0_22_22 = e2
% 268.52/209.33 |
% 268.52/209.33 | Equations (917) can reduce 493 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (493) ~ (all_0_22_22 = e2)
% 268.52/209.33 | (920) all_0_22_22 = e1 | all_0_22_22 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (920), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (999) all_0_22_22 = e1
% 268.52/209.33 |
% 268.52/209.33 | Equations (999) can reduce 1018 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (1018) ~ (all_0_22_22 = e1)
% 268.52/209.33 | (847) all_0_22_22 = e0
% 268.52/209.33 |
% 268.52/209.33 | Equations (847) can reduce 826 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (839) ~ (all_0_20_20 = e0)
% 268.52/209.33 | (1920) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (1920), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (1921) all_0_25_25 = e0
% 268.52/209.33 |
% 268.52/209.33 | Equations (1921) can reduce 1925 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (1925) ~ (all_0_25_25 = e0)
% 268.52/209.33 | (1938) all_0_30_30 = e0 | all_0_35_35 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (1938), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (790) all_0_30_30 = e0
% 268.52/209.33 |
% 268.52/209.33 | Equations (790) can reduce 1878 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (1878) ~ (all_0_30_30 = e0)
% 268.52/209.33 | (1203) all_0_35_35 = e0
% 268.52/209.33 |
% 268.52/209.33 | Equations (1203) can reduce 385 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (1058) ~ (all_0_26_26 = e0)
% 268.52/209.33 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (1059), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (1060) all_0_31_31 = e0
% 268.52/209.33 |
% 268.52/209.33 | Combining equations (751,1060) yields a new equation:
% 268.52/209.33 | (836) e2 = e0
% 268.52/209.33 |
% 268.52/209.33 | Simplifying 836 yields:
% 268.52/209.33 | (551) e2 = e0
% 268.52/209.33 |
% 268.52/209.33 | Equations (551) can reduce 347 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (1064) ~ (all_0_31_31 = e0)
% 268.52/209.33 | (1065) all_0_36_36 = e0
% 268.52/209.33 |
% 268.52/209.33 | Combining equations (1065,2611) yields a new equation:
% 268.52/209.33 | (490) e4 = e0
% 268.52/209.33 |
% 268.52/209.33 | Equations (490) can reduce 287 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (1099) ~ (all_0_31_31 = e2)
% 268.52/209.33 | (801) all_0_36_36 = e2
% 268.52/209.33 |
% 268.52/209.33 | Combining equations (801,2611) yields a new equation:
% 268.52/209.33 | (539) e4 = e2
% 268.52/209.33 |
% 268.52/209.33 | Equations (539) can reduce 19 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (458) ~ (all_0_16_16 = e3)
% 268.52/209.33 | (2460) all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (72), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (468) all_0_15_15 = e3
% 268.52/209.33 |
% 268.52/209.33 | Combining equations (468,464) yields a new equation:
% 268.52/209.33 | (691) e4 = e3
% 268.52/209.33 |
% 268.52/209.33 | Equations (691) can reduce 277 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (433) ~ (all_0_15_15 = e3)
% 268.52/209.33 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 268.52/209.33 |
% 268.52/209.33 | Equations (464) can reduce 433 to:
% 268.52/209.33 | (277) ~ (e4 = e3)
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (2460), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (453) all_0_21_21 = e3
% 268.52/209.33 |
% 268.52/209.33 | Combining equations (526,453) yields a new equation:
% 268.52/209.33 | (706) e3 = e1
% 268.52/209.33 |
% 268.52/209.33 | Equations (706) can reduce 318 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (494) ~ (all_0_21_21 = e3)
% 268.52/209.33 | (2466) all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (2466), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (2443) all_0_26_26 = e3
% 268.52/209.33 |
% 268.52/209.33 | Equations (2443) can reduce 128 to:
% 268.52/209.33 | (566) ~ (all_0_25_25 = e3)
% 268.52/209.33 |
% 268.52/209.33 | Equations (2443) can reduce 38 to:
% 268.52/209.33 | (897) ~ (all_0_29_29 = e3)
% 268.52/209.33 |
% 268.52/209.33 | Simplifying 897 yields:
% 268.52/209.33 | (898) ~ (all_0_29_29 = e3)
% 268.52/209.33 |
% 268.52/209.33 | Equations (2443) can reduce 582 to:
% 268.52/209.33 | (695) ~ (e4 = e3)
% 268.52/209.33 |
% 268.52/209.33 | Simplifying 695 yields:
% 268.52/209.33 | (277) ~ (e4 = e3)
% 268.52/209.33 |
% 268.52/209.33 | From (2443) and (195) follows:
% 268.52/209.33 | (32250) op(e2, e3) = e3
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (111), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (468) all_0_15_15 = e3
% 268.52/209.33 |
% 268.52/209.33 | Combining equations (468,464) yields a new equation:
% 268.52/209.33 | (691) e4 = e3
% 268.52/209.33 |
% 268.52/209.33 | Equations (691) can reduce 277 to:
% 268.52/209.33 | (366) $false
% 268.52/209.33 |
% 268.52/209.33 |-The branch is then unsatisfiable
% 268.52/209.33 |-Branch two:
% 268.52/209.33 | (433) ~ (all_0_15_15 = e3)
% 268.52/209.33 | (7536) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (7536), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (903) all_0_20_20 = e3
% 268.52/209.33 |
% 268.52/209.33 | Equations (903) can reduce 167 to:
% 268.52/209.33 | (3506) ~ (all_0_24_24 = e3)
% 268.52/209.33 |
% 268.52/209.33 | Simplifying 3506 yields:
% 268.52/209.33 | (963) ~ (all_0_24_24 = e3)
% 268.52/209.33 |
% 268.52/209.33 | Equations (903) can reduce 249 to:
% 268.52/209.33 | (569) ~ (all_0_35_35 = e3)
% 268.52/209.33 |
% 268.52/209.33 | Simplifying 569 yields:
% 268.52/209.33 | (570) ~ (all_0_35_35 = e3)
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (230), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (927) all_0_19_19 = e3
% 268.52/209.33 |
% 268.52/209.33 | Equations (927) can reduce 714 to:
% 268.52/209.33 | (695) ~ (e4 = e3)
% 268.52/209.33 |
% 268.52/209.33 | Simplifying 695 yields:
% 268.52/209.33 | (277) ~ (e4 = e3)
% 268.52/209.33 |
% 268.52/209.33 | From (927) and (24) follows:
% 268.52/209.33 | (12876) op(all_0_35_35, e3) = e4
% 268.52/209.33 |
% 268.52/209.33 | Instantiating formula (97) with e1, e3, e4, all_0_31_31 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 268.52/209.33 | (12881) all_0_31_31 = e4 | ~ (op(e1, e3) = e4)
% 268.52/209.33 |
% 268.52/209.33 | Instantiating formula (97) with all_0_35_35, e3, e4, e3 and discharging atoms op(all_0_35_35, e3) = e4, yields:
% 268.52/209.33 | (32266) e4 = e3 | ~ (op(all_0_35_35, e3) = e3)
% 268.52/209.33 |
% 268.52/209.33 +-Applying beta-rule and splitting (16), into two cases.
% 268.52/209.33 |-Branch one:
% 268.52/209.33 | (1196) all_0_35_35 = e1
% 268.52/209.33 |
% 268.52/209.33 | From (1196) and (12876) follows:
% 268.52/209.34 | (12926) op(e1, e3) = e4
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (12881), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (12932) ~ (op(e1, e3) = e4)
% 268.52/209.34 |
% 268.52/209.34 | Using (12926) and (12932) yields:
% 268.52/209.34 | (821) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (12926) op(e1, e3) = e4
% 268.52/209.34 | (1446) all_0_31_31 = e4
% 268.52/209.34 |
% 268.52/209.34 | Equations (1446) can reduce 584 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (1177) ~ (all_0_35_35 = e1)
% 268.52/209.34 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (122), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (1161) all_0_35_35 = e4
% 268.52/209.34 |
% 268.52/209.34 | Equations (1161) can reduce 514 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (514) ~ (all_0_35_35 = e4)
% 268.52/209.34 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (1181), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (814) all_0_35_35 = e3
% 268.52/209.34 |
% 268.52/209.34 | Equations (814) can reduce 570 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (570) ~ (all_0_35_35 = e3)
% 268.52/209.34 | (1185) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (1185), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (797) all_0_35_35 = e2
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (32266), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (32285) ~ (op(all_0_35_35, e3) = e3)
% 268.52/209.34 |
% 268.52/209.34 | From (797) and (32285) follows:
% 268.52/209.34 | (32286) ~ (op(e2, e3) = e3)
% 268.52/209.34 |
% 268.52/209.34 | Using (32250) and (32286) yields:
% 268.52/209.34 | (821) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (32288) op(all_0_35_35, e3) = e3
% 268.52/209.34 | (691) e4 = e3
% 268.52/209.34 |
% 268.52/209.34 | Equations (691) can reduce 277 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (742) ~ (all_0_35_35 = e2)
% 268.52/209.34 | (1195) all_0_35_35 = e1 | all_0_35_35 = e0
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (1195), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (1196) all_0_35_35 = e1
% 268.52/209.34 |
% 268.52/209.34 | Equations (1196) can reduce 1177 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (1177) ~ (all_0_35_35 = e1)
% 268.52/209.34 | (1203) all_0_35_35 = e0
% 268.52/209.34 |
% 268.52/209.34 | Equations (1203) can reduce 385 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (562) ~ (all_0_19_19 = e3)
% 268.52/209.34 | (931) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (931), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (939) all_0_24_24 = e3
% 268.52/209.34 |
% 268.52/209.34 | Equations (939) can reduce 963 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (963) ~ (all_0_24_24 = e3)
% 268.52/209.34 | (964) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (964), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (1023) all_0_29_29 = e3
% 268.52/209.34 |
% 268.52/209.34 | Equations (1023) can reduce 898 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (898) ~ (all_0_29_29 = e3)
% 268.52/209.34 | (1026) all_0_34_34 = e3 | all_0_39_39 = e3
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (1026), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (1027) all_0_34_34 = e3
% 268.52/209.34 |
% 268.52/209.34 | Equations (1027) can reduce 1031 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (1031) ~ (all_0_34_34 = e3)
% 268.52/209.34 | (369) all_0_39_39 = e3
% 268.52/209.34 |
% 268.52/209.34 | Combining equations (369,380) yields a new equation:
% 268.52/209.34 | (979) e3 = e0
% 268.52/209.34 |
% 268.52/209.34 | Simplifying 979 yields:
% 268.52/209.34 | (980) e3 = e0
% 268.52/209.34 |
% 268.52/209.34 | Equations (980) can reduce 88 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (564) ~ (all_0_20_20 = e3)
% 268.52/209.34 | (8890) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (8890), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (2438) all_0_25_25 = e3
% 268.52/209.34 |
% 268.52/209.34 | Equations (2438) can reduce 566 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (566) ~ (all_0_25_25 = e3)
% 268.52/209.34 | (8920) all_0_30_30 = e3 | all_0_35_35 = e3
% 268.52/209.34 |
% 268.52/209.34 +-Applying beta-rule and splitting (8920), into two cases.
% 268.52/209.34 |-Branch one:
% 268.52/209.34 | (759) all_0_30_30 = e3
% 268.52/209.34 |
% 268.52/209.34 | Equations (759) can reduce 568 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.34 |-Branch two:
% 268.52/209.34 | (568) ~ (all_0_30_30 = e3)
% 268.52/209.34 | (814) all_0_35_35 = e3
% 268.52/209.34 |
% 268.52/209.34 | Equations (814) can reduce 570 to:
% 268.52/209.34 | (366) $false
% 268.52/209.34 |
% 268.52/209.34 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (504) ~ (all_0_26_26 = e3)
% 268.52/209.35 | (2644) all_0_31_31 = e3 | all_0_36_36 = e3
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (2644), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (763) all_0_31_31 = e3
% 268.52/209.35 |
% 268.52/209.35 | Equations (763) can reduce 510 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (510) ~ (all_0_31_31 = e3)
% 268.52/209.35 | (818) all_0_36_36 = e3
% 268.52/209.35 |
% 268.52/209.35 | Combining equations (2611,818) yields a new equation:
% 268.52/209.35 | (690) e4 = e3
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 690 yields:
% 268.52/209.35 | (691) e4 = e3
% 268.52/209.35 |
% 268.52/209.35 | Equations (691) can reduce 277 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (777) ~ (all_0_37_37 = e3)
% 268.52/209.35 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (1076), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (1077) all_0_38_38 = e3
% 268.52/209.35 |
% 268.52/209.35 | Equations (1077) can reduce 1080 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (1080) ~ (all_0_38_38 = e3)
% 268.52/209.35 | (369) all_0_39_39 = e3
% 268.52/209.35 |
% 268.52/209.35 | Combining equations (380,369) yields a new equation:
% 268.52/209.35 | (980) e3 = e0
% 268.52/209.35 |
% 268.52/209.35 | Equations (980) can reduce 88 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (586) ~ (all_0_36_36 = e4)
% 268.52/209.35 | (2614) all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (163), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (701) all_0_16_16 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (701) can reduce 573 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (573) ~ (all_0_16_16 = e4)
% 268.52/209.35 | (6243) all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (165), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (1161) all_0_35_35 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (1161) can reduce 514 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (514) ~ (all_0_35_35 = e4)
% 268.52/209.35 | (1164) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (122), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (1161) all_0_35_35 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (1161) can reduce 514 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (514) ~ (all_0_35_35 = e4)
% 268.52/209.35 | (1181) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (225), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (711) all_0_19_19 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (711) can reduce 714 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (714) ~ (all_0_19_19 = e4)
% 268.52/209.35 | (4311) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (338), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (892) all_0_28_28 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (892) can reduce 300 to:
% 268.52/209.35 | (1046) ~ (all_0_18_18 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Equations (892) can reduce 46 to:
% 268.52/209.35 | (582) ~ (all_0_26_26 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Equations (892) can reduce 73 to:
% 268.52/209.35 | (2797) ~ (all_0_29_29 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 2797 yields:
% 268.52/209.35 | (724) ~ (all_0_29_29 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Equations (892) can reduce 198 to:
% 268.52/209.35 | (1142) ~ (all_0_38_38 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 1142 yields:
% 268.52/209.35 | (1143) ~ (all_0_38_38 = e4)
% 268.52/209.35 |
% 268.52/209.35 | From (892) and (315) follows:
% 268.52/209.35 | (2843) op(e4, all_0_32_32) = e1
% 268.52/209.35 |
% 268.52/209.35 | From (892) and (200) follows:
% 268.52/209.35 | (2844) op(all_0_32_32, e4) = e2
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (6243), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (449) all_0_21_21 = e4
% 268.52/209.35 |
% 268.52/209.35 | Combining equations (526,449) yields a new equation:
% 268.52/209.35 | (480) e4 = e1
% 268.52/209.35 |
% 268.52/209.35 | Equations (480) can reduce 65 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (448) ~ (all_0_21_21 = e4)
% 268.52/209.35 | (6248) all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (1164), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (2611) all_0_36_36 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (2611) can reduce 586 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (586) ~ (all_0_36_36 = e4)
% 268.52/209.35 | (2633) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (6248), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (1237) all_0_26_26 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (1237) can reduce 582 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (582) ~ (all_0_26_26 = e4)
% 268.52/209.35 | (6263) all_0_31_31 = e4 | all_0_36_36 = e4
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (2633), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (1232) all_0_37_37 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (1232) can reduce 183 to:
% 268.52/209.35 | (586) ~ (all_0_36_36 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Equations (1232) can reduce 354 to:
% 268.52/209.35 | (1142) ~ (all_0_38_38 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 1142 yields:
% 268.52/209.35 | (1143) ~ (all_0_38_38 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Equations (1232) can reduce 515 to:
% 268.52/209.35 | (19) ~ (e4 = e2)
% 268.52/209.35 |
% 268.52/209.35 | Equations (1232) can reduce 387 to:
% 268.52/209.35 | (287) ~ (e4 = e0)
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (6263), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (1446) all_0_31_31 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (1446) can reduce 145 to:
% 268.52/209.35 | (582) ~ (all_0_26_26 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Equations (1446) can reduce 247 to:
% 268.52/209.35 | (1495) ~ (all_0_32_32 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 1495 yields:
% 268.52/209.35 | (727) ~ (all_0_32_32 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Equations (1446) can reduce 188 to:
% 268.52/209.35 | (2206) ~ (all_0_34_34 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 2206 yields:
% 268.52/209.35 | (1395) ~ (all_0_34_34 = e4)
% 268.52/209.35 |
% 268.52/209.35 | Equations (1446) can reduce 510 to:
% 268.52/209.35 | (277) ~ (e4 = e3)
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (242), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (711) all_0_19_19 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (711) can reduce 714 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (714) ~ (all_0_19_19 = e4)
% 268.52/209.35 | (715) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (715), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (685) all_0_24_24 = e4
% 268.52/209.35 |
% 268.52/209.35 | Equations (685) can reduce 943 to:
% 268.52/209.35 | (65) ~ (e4 = e1)
% 268.52/209.35 |
% 268.52/209.35 | From (685) and (158) follows:
% 268.52/209.35 | (6558) op(e4, all_0_36_36) = e0
% 268.52/209.35 |
% 268.52/209.35 | From (685) and (5) follows:
% 268.52/209.35 | (32403) op(all_0_36_36, e4) = e3
% 268.52/209.35 |
% 268.52/209.35 | Instantiating formula (97) with e1, e4, e2, all_0_30_30 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 268.52/209.35 | (1422) all_0_30_30 = e2 | ~ (op(e1, e4) = e2)
% 268.52/209.35 |
% 268.52/209.35 | Instantiating formula (97) with e3, e4, e3, all_0_20_20 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 268.52/209.35 | (32405) all_0_20_20 = e3 | ~ (op(e3, e4) = e3)
% 268.52/209.35 |
% 268.52/209.35 | Instantiating formula (97) with e4, e0, e1, all_0_19_19 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 268.52/209.35 | (12253) all_0_19_19 = e1 | ~ (op(e4, e0) = e1)
% 268.52/209.35 |
% 268.52/209.35 | Instantiating formula (97) with e4, e3, e0, all_0_16_16 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 268.52/209.35 | (734) all_0_16_16 = e0 | ~ (op(e4, e3) = e0)
% 268.52/209.35 |
% 268.52/209.35 | Instantiating formula (97) with e4, all_0_36_36, e0, e2 and discharging atoms op(e4, all_0_36_36) = e0, yields:
% 268.52/209.35 | (32408) e2 = e0 | ~ (op(e4, all_0_36_36) = e2)
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (16), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (1196) all_0_35_35 = e1
% 268.52/209.35 |
% 268.52/209.35 | Equations (1196) can reduce 173 to:
% 268.52/209.35 | (427) ~ (all_0_38_38 = e1)
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 427 yields:
% 268.52/209.35 | (428) ~ (all_0_38_38 = e1)
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (164), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (814) all_0_35_35 = e3
% 268.52/209.35 |
% 268.52/209.35 | Combining equations (814,1196) yields a new equation:
% 268.52/209.35 | (933) e3 = e1
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 933 yields:
% 268.52/209.35 | (706) e3 = e1
% 268.52/209.35 |
% 268.52/209.35 | Equations (706) can reduce 318 to:
% 268.52/209.35 | (366) $false
% 268.52/209.35 |
% 268.52/209.35 |-The branch is then unsatisfiable
% 268.52/209.35 |-Branch two:
% 268.52/209.35 | (570) ~ (all_0_35_35 = e3)
% 268.52/209.35 | (817) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 268.52/209.35 |
% 268.52/209.35 +-Applying beta-rule and splitting (817), into two cases.
% 268.52/209.35 |-Branch one:
% 268.52/209.35 | (818) all_0_36_36 = e3
% 268.52/209.35 |
% 268.52/209.35 | Equations (818) can reduce 170 to:
% 268.52/209.35 | (504) ~ (all_0_26_26 = e3)
% 268.52/209.35 |
% 268.52/209.35 | Equations (818) can reduce 93 to:
% 268.52/209.35 | (2070) ~ (all_0_38_38 = e3)
% 268.52/209.35 |
% 268.52/209.35 | Simplifying 2070 yields:
% 268.52/209.35 | (1080) ~ (all_0_38_38 = e3)
% 268.52/209.35 |
% 268.52/209.35 | From (818) and (32403) follows:
% 268.52/209.36 | (32422) op(e3, e4) = e3
% 268.52/209.36 |
% 268.52/209.36 | From (818) and (6558) follows:
% 268.52/209.36 | (1314) op(e4, e3) = e0
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (358), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (1165) all_0_38_38 = e4
% 268.52/209.36 |
% 268.52/209.36 | Equations (1165) can reduce 1143 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (1143) ~ (all_0_38_38 = e4)
% 268.52/209.36 | (1168) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (1168), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (1077) all_0_38_38 = e3
% 268.52/209.36 |
% 268.52/209.36 | Equations (1077) can reduce 1080 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (1080) ~ (all_0_38_38 = e3)
% 268.52/209.36 | (1206) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (32408), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (32432) ~ (op(e4, all_0_36_36) = e2)
% 268.52/209.36 |
% 268.52/209.36 | From (818) and (32432) follows:
% 268.52/209.36 | (2992) ~ (op(e4, e3) = e2)
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (1206), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (809) all_0_38_38 = e2
% 268.52/209.36 |
% 268.52/209.36 | Equations (809) can reduce 142 to:
% 268.52/209.36 | (666) ~ (all_0_18_18 = e2)
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (259), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (1278) all_0_18_18 = e1
% 268.52/209.36 |
% 268.52/209.36 | Equations (1278) can reduce 666 to:
% 268.52/209.36 | (1002) ~ (e2 = e1)
% 268.52/209.36 |
% 268.52/209.36 | Simplifying 1002 yields:
% 268.52/209.36 | (329) ~ (e2 = e1)
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (32405), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (32439) ~ (op(e3, e4) = e3)
% 268.52/209.36 |
% 268.52/209.36 | Using (32422) and (32439) yields:
% 268.52/209.36 | (821) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (32422) op(e3, e4) = e3
% 268.52/209.36 | (903) all_0_20_20 = e3
% 268.52/209.36 |
% 268.52/209.36 | Equations (903) can reduce 95 to:
% 268.52/209.36 | (565) ~ (all_0_25_25 = e3)
% 268.52/209.36 |
% 268.52/209.36 | Simplifying 565 yields:
% 268.52/209.36 | (566) ~ (all_0_25_25 = e3)
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (182), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (1237) all_0_26_26 = e4
% 268.52/209.36 |
% 268.52/209.36 | Equations (1237) can reduce 582 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (582) ~ (all_0_26_26 = e4)
% 268.52/209.36 | (5353) all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (340), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (697) all_0_16_16 = e2
% 268.52/209.36 |
% 268.52/209.36 | From (697) and (20) follows:
% 268.52/209.36 | (3029) op(e4, e3) = e2
% 268.52/209.36 |
% 268.52/209.36 | Using (3029) and (2992) yields:
% 268.52/209.36 | (821) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (664) ~ (all_0_16_16 = e2)
% 268.52/209.36 | (700) all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (700), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (522) all_0_21_21 = e2
% 268.52/209.36 |
% 268.52/209.36 | Combining equations (526,522) yields a new equation:
% 268.52/209.36 | (718) e2 = e1
% 268.52/209.36 |
% 268.52/209.36 | Equations (718) can reduce 329 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (361) ~ (all_0_21_21 = e2)
% 268.52/209.36 | (2289) all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (168), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (2438) all_0_25_25 = e3
% 268.52/209.36 |
% 268.52/209.36 | Equations (2438) can reduce 566 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (566) ~ (all_0_25_25 = e3)
% 268.52/209.36 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (2289), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (2380) all_0_26_26 = e2
% 268.52/209.36 |
% 268.52/209.36 | Equations (2380) can reduce 647 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (647) ~ (all_0_26_26 = e2)
% 268.52/209.36 | (2383) all_0_31_31 = e2 | all_0_36_36 = e2
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (2442), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (2443) all_0_26_26 = e3
% 268.52/209.36 |
% 268.52/209.36 | Equations (2443) can reduce 504 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (504) ~ (all_0_26_26 = e3)
% 268.52/209.36 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (5353), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (2443) all_0_26_26 = e3
% 268.52/209.36 |
% 268.52/209.36 | Equations (2443) can reduce 504 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (504) ~ (all_0_26_26 = e3)
% 268.52/209.36 | (5357) all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (5357), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (2380) all_0_26_26 = e2
% 268.52/209.36 |
% 268.52/209.36 | Equations (2380) can reduce 647 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (647) ~ (all_0_26_26 = e2)
% 268.52/209.36 | (5361) all_0_26_26 = e1 | all_0_26_26 = e0
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (5361), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (1005) all_0_26_26 = e1
% 268.52/209.36 |
% 268.52/209.36 | Equations (1005) can reduce 1008 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (1008) ~ (all_0_26_26 = e1)
% 268.52/209.36 | (883) all_0_26_26 = e0
% 268.52/209.36 |
% 268.52/209.36 | Equations (883) can reduce 139 to:
% 268.52/209.36 | (824) ~ (all_0_16_16 = e0)
% 268.52/209.36 |
% 268.52/209.36 +-Applying beta-rule and splitting (734), into two cases.
% 268.52/209.36 |-Branch one:
% 268.52/209.36 | (1315) ~ (op(e4, e3) = e0)
% 268.52/209.36 |
% 268.52/209.36 | Using (1314) and (1315) yields:
% 268.52/209.36 | (821) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.36 |-Branch two:
% 268.52/209.36 | (1314) op(e4, e3) = e0
% 268.52/209.36 | (873) all_0_16_16 = e0
% 268.52/209.36 |
% 268.52/209.36 | Equations (873) can reduce 824 to:
% 268.52/209.36 | (366) $false
% 268.52/209.36 |
% 268.52/209.36 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (419) ~ (all_0_18_18 = e1)
% 268.52/209.37 | (8300) all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (26), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (887) all_0_18_18 = e4
% 268.52/209.37 |
% 268.52/209.37 | Equations (887) can reduce 1046 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (1046) ~ (all_0_18_18 = e4)
% 268.52/209.37 | (1047) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (1047), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1134) all_0_18_18 = e3
% 268.52/209.37 |
% 268.52/209.37 | Equations (1134) can reduce 560 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (560) ~ (all_0_18_18 = e3)
% 268.52/209.37 | (1270) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (1270), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1274) all_0_18_18 = e2
% 268.52/209.37 |
% 268.52/209.37 | Equations (1274) can reduce 666 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (666) ~ (all_0_18_18 = e2)
% 268.52/209.37 | (1277) all_0_18_18 = e1 | all_0_18_18 = e0
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (1277), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1278) all_0_18_18 = e1
% 268.52/209.37 |
% 268.52/209.37 | Equations (1278) can reduce 419 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (419) ~ (all_0_18_18 = e1)
% 268.52/209.37 | (1153) all_0_18_18 = e0
% 268.52/209.37 |
% 268.52/209.37 | Equations (1153) can reduce 9 to:
% 268.52/209.37 | (824) ~ (all_0_16_16 = e0)
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (734), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1315) ~ (op(e4, e3) = e0)
% 268.52/209.37 |
% 268.52/209.37 | Using (1314) and (1315) yields:
% 268.52/209.37 | (821) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (1314) op(e4, e3) = e0
% 268.52/209.37 | (873) all_0_16_16 = e0
% 268.52/209.37 |
% 268.52/209.37 | Equations (873) can reduce 824 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (1084) ~ (all_0_38_38 = e2)
% 268.52/209.37 | (1210) all_0_38_38 = e1 | all_0_38_38 = e0
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (1210), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1211) all_0_38_38 = e1
% 268.52/209.37 |
% 268.52/209.37 | Equations (1211) can reduce 428 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (428) ~ (all_0_38_38 = e1)
% 268.52/209.37 | (1214) all_0_38_38 = e0
% 268.52/209.37 |
% 268.52/209.37 | Equations (1214) can reduce 388 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (32520) op(e4, all_0_36_36) = e2
% 268.52/209.37 | (551) e2 = e0
% 268.52/209.37 |
% 268.52/209.37 | Equations (551) can reduce 347 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (516) ~ (all_0_36_36 = e3)
% 268.52/209.37 | (1072) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (1072), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1073) all_0_37_37 = e3
% 268.52/209.37 |
% 268.52/209.37 | Combining equations (1073,1232) yields a new equation:
% 268.52/209.37 | (691) e4 = e3
% 268.52/209.37 |
% 268.52/209.37 | Equations (691) can reduce 277 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (777) ~ (all_0_37_37 = e3)
% 268.52/209.37 | (1076) all_0_38_38 = e3 | all_0_39_39 = e3
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (1076), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1077) all_0_38_38 = e3
% 268.52/209.37 |
% 268.52/209.37 | Equations (1077) can reduce 1080 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (1080) ~ (all_0_38_38 = e3)
% 268.52/209.37 | (369) all_0_39_39 = e3
% 268.52/209.37 |
% 268.52/209.37 | Combining equations (380,369) yields a new equation:
% 268.52/209.37 | (980) e3 = e0
% 268.52/209.37 |
% 268.52/209.37 | Equations (980) can reduce 88 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (1177) ~ (all_0_35_35 = e1)
% 268.52/209.37 | (1199) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (1199), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1015) all_0_36_36 = e1
% 268.52/209.37 |
% 268.52/209.37 | Equations (1015) can reduce 1593 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (1593) ~ (all_0_36_36 = e1)
% 268.52/209.37 | (2672) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (2672), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1590) all_0_37_37 = e1
% 268.52/209.37 |
% 268.52/209.37 | Combining equations (1590,1232) yields a new equation:
% 268.52/209.37 | (480) e4 = e1
% 268.52/209.37 |
% 268.52/209.37 | Equations (480) can reduce 65 to:
% 268.52/209.37 | (366) $false
% 268.52/209.37 |
% 268.52/209.37 |-The branch is then unsatisfiable
% 268.52/209.37 |-Branch two:
% 268.52/209.37 | (2562) ~ (all_0_37_37 = e1)
% 268.52/209.37 | (2676) all_0_38_38 = e1 | all_0_39_39 = e1
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (2676), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1211) all_0_38_38 = e1
% 268.52/209.37 |
% 268.52/209.37 | Equations (1211) can reduce 142 to:
% 268.52/209.37 | (419) ~ (all_0_18_18 = e1)
% 268.52/209.37 |
% 268.52/209.37 | Equations (1211) can reduce 1143 to:
% 268.52/209.37 | (477) ~ (e4 = e1)
% 268.52/209.37 |
% 268.52/209.37 | Simplifying 477 yields:
% 268.52/209.37 | (65) ~ (e4 = e1)
% 268.52/209.37 |
% 268.52/209.37 | Equations (1211) can reduce 1080 to:
% 268.52/209.37 | (429) ~ (e3 = e1)
% 268.52/209.37 |
% 268.52/209.37 | Simplifying 429 yields:
% 268.52/209.37 | (318) ~ (e3 = e1)
% 268.52/209.37 |
% 268.52/209.37 | From (1211) and (312) follows:
% 268.52/209.37 | (15582) op(e1, all_0_34_34) = e1
% 268.52/209.37 |
% 268.52/209.37 | Instantiating formula (97) with e1, e2, e1, all_0_32_32 and discharging atoms op(e1, e2) = all_0_32_32, yields:
% 268.52/209.37 | (32554) all_0_32_32 = e1 | ~ (op(e1, e2) = e1)
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (17), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1498) all_0_17_17 = e1
% 268.52/209.37 |
% 268.52/209.37 | Equations (1498) can reduce 333 to:
% 268.52/209.37 | (5458) ~ (all_0_19_19 = e1)
% 268.52/209.37 |
% 268.52/209.37 | Simplifying 5458 yields:
% 268.52/209.37 | (720) ~ (all_0_19_19 = e1)
% 268.52/209.37 |
% 268.52/209.37 | Equations (1498) can reduce 286 to:
% 268.52/209.37 | (4691) ~ (all_0_32_32 = e1)
% 268.52/209.37 |
% 268.52/209.37 | Simplifying 4691 yields:
% 268.52/209.37 | (424) ~ (all_0_32_32 = e1)
% 268.52/209.37 |
% 268.52/209.37 +-Applying beta-rule and splitting (232), into two cases.
% 268.52/209.37 |-Branch one:
% 268.52/209.37 | (1970) all_0_17_17 = e3
% 268.52/209.37 |
% 268.52/209.37 | Combining equations (1970,1498) yields a new equation:
% 268.52/209.37 | (933) e3 = e1
% 268.52/209.37 |
% 268.52/209.37 | Simplifying 933 yields:
% 268.52/209.37 | (706) e3 = e1
% 268.52/209.37 |
% 268.52/209.38 | Equations (706) can reduce 318 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (558) ~ (all_0_17_17 = e3)
% 268.52/209.38 | (1973) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (1973), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (857) all_0_22_22 = e3
% 268.52/209.38 |
% 268.52/209.38 | Equations (857) can reduce 63 to:
% 268.52/209.38 | (6619) ~ (all_0_32_32 = e3)
% 268.52/209.38 |
% 268.52/209.38 | Simplifying 6619 yields:
% 268.52/209.38 | (1089) ~ (all_0_32_32 = e3)
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (261), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (1229) all_0_32_32 = e4
% 268.52/209.38 |
% 268.52/209.38 | Equations (1229) can reduce 727 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (727) ~ (all_0_32_32 = e4)
% 268.52/209.38 | (1506) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (1506), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (772) all_0_32_32 = e3
% 268.52/209.38 |
% 268.52/209.38 | Equations (772) can reduce 1089 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (1089) ~ (all_0_32_32 = e3)
% 268.52/209.38 | (1618) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (1618), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (1101) all_0_32_32 = e2
% 268.52/209.38 |
% 268.52/209.38 | Equations (1101) can reduce 508 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (508) ~ (all_0_32_32 = e2)
% 268.52/209.38 | (1622) all_0_32_32 = e1 | all_0_32_32 = e0
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (1622), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (1587) all_0_32_32 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (1587) can reduce 424 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (424) ~ (all_0_32_32 = e1)
% 268.52/209.38 | (1626) all_0_32_32 = e0
% 268.52/209.38 |
% 268.52/209.38 | From (1626) and (2843) follows:
% 268.52/209.38 | (4339) op(e4, e0) = e1
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (12253), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (12790) ~ (op(e4, e0) = e1)
% 268.52/209.38 |
% 268.52/209.38 | Using (4339) and (12790) yields:
% 268.52/209.38 | (821) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (4339) op(e4, e0) = e1
% 268.52/209.38 | (716) all_0_19_19 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (716) can reduce 720 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (774) ~ (all_0_22_22 = e3)
% 268.52/209.38 | (3115) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (3115), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (439) all_0_27_27 = e3
% 268.52/209.38 |
% 268.52/209.38 | Combining equations (443,439) yields a new equation:
% 268.52/209.38 | (764) e3 = e2
% 268.52/209.38 |
% 268.52/209.38 | Equations (764) can reduce 56 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (400) ~ (all_0_27_27 = e3)
% 268.52/209.38 | (3120) all_0_32_32 = e3 | all_0_37_37 = e3
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (3120), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (772) all_0_32_32 = e3
% 268.52/209.38 |
% 268.52/209.38 | Equations (772) can reduce 1089 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (1089) ~ (all_0_32_32 = e3)
% 268.52/209.38 | (1073) all_0_37_37 = e3
% 268.52/209.38 |
% 268.52/209.38 | Combining equations (1232,1073) yields a new equation:
% 268.52/209.38 | (690) e4 = e3
% 268.52/209.38 |
% 268.52/209.38 | Simplifying 690 yields:
% 268.52/209.38 | (691) e4 = e3
% 268.52/209.38 |
% 268.52/209.38 | Equations (691) can reduce 277 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (1501) ~ (all_0_17_17 = e1)
% 268.52/209.38 | (1502) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (1502), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (999) all_0_22_22 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (999) can reduce 1018 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (1018) ~ (all_0_22_22 = e1)
% 268.52/209.38 | (1566) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (1566), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (543) all_0_27_27 = e1
% 268.52/209.38 |
% 268.52/209.38 | Combining equations (443,543) yields a new equation:
% 268.52/209.38 | (717) e2 = e1
% 268.52/209.38 |
% 268.52/209.38 | Simplifying 717 yields:
% 268.52/209.38 | (718) e2 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (718) can reduce 329 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (402) ~ (all_0_27_27 = e1)
% 268.52/209.38 | (1586) all_0_32_32 = e1 | all_0_37_37 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (443) can reduce 402 to:
% 268.52/209.38 | (329) ~ (e2 = e1)
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (323), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (476) all_0_15_15 = e1
% 268.52/209.38 |
% 268.52/209.38 | Combining equations (476,464) yields a new equation:
% 268.52/209.38 | (480) e4 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (480) can reduce 65 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (482) ~ (all_0_15_15 = e1)
% 268.52/209.38 | (709) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (709), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (921) all_0_16_16 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (921) can reduce 985 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (985) ~ (all_0_16_16 = e1)
% 268.52/209.38 | (1373) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (1373), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (1498) all_0_17_17 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (1498) can reduce 1501 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (1501) ~ (all_0_17_17 = e1)
% 268.52/209.38 | (1681) all_0_18_18 = e1 | all_0_19_19 = e1
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (1681), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (1278) all_0_18_18 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (1278) can reduce 419 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (419) ~ (all_0_18_18 = e1)
% 268.52/209.38 | (716) all_0_19_19 = e1
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (192), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (663) all_0_19_19 = e2
% 268.52/209.38 |
% 268.52/209.38 | Combining equations (663,716) yields a new equation:
% 268.52/209.38 | (717) e2 = e1
% 268.52/209.38 |
% 268.52/209.38 | Simplifying 717 yields:
% 268.52/209.38 | (718) e2 = e1
% 268.52/209.38 |
% 268.52/209.38 | Equations (718) can reduce 329 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (2785) ~ (all_0_19_19 = e2)
% 268.52/209.38 | (2786) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (2786), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (1393) all_0_24_24 = e2
% 268.52/209.38 |
% 268.52/209.38 | Combining equations (1393,685) yields a new equation:
% 268.52/209.38 | (539) e4 = e2
% 268.52/209.38 |
% 268.52/209.38 | Equations (539) can reduce 19 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (668) ~ (all_0_24_24 = e2)
% 268.52/209.38 | (4102) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (4102), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (4103) all_0_29_29 = e2
% 268.52/209.38 |
% 268.52/209.38 | Equations (4103) can reduce 651 to:
% 268.52/209.38 | (366) $false
% 268.52/209.38 |
% 268.52/209.38 |-The branch is then unsatisfiable
% 268.52/209.38 |-Branch two:
% 268.52/209.38 | (651) ~ (all_0_29_29 = e2)
% 268.52/209.38 | (4106) all_0_34_34 = e2 | all_0_39_39 = e2
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (4106), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.38 | (1110) all_0_34_34 = e2
% 268.52/209.38 |
% 268.52/209.38 | Equations (1110) can reduce 15 to:
% 268.52/209.38 | (740) ~ (all_0_30_30 = e2)
% 268.52/209.38 |
% 268.52/209.38 | From (1110) and (15582) follows:
% 268.52/209.38 | (32652) op(e1, e2) = e1
% 268.52/209.38 |
% 268.52/209.38 +-Applying beta-rule and splitting (32554), into two cases.
% 268.52/209.38 |-Branch one:
% 268.52/209.39 | (32653) ~ (op(e1, e2) = e1)
% 268.52/209.39 |
% 268.52/209.39 | Using (32652) and (32653) yields:
% 268.52/209.39 | (821) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (32652) op(e1, e2) = e1
% 268.52/209.39 | (1587) all_0_32_32 = e1
% 268.52/209.39 |
% 268.52/209.39 | From (1587) and (2844) follows:
% 268.52/209.39 | (1594) op(e1, e4) = e2
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (1422), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (1604) ~ (op(e1, e4) = e2)
% 268.52/209.39 |
% 268.52/209.39 | Using (1594) and (1604) yields:
% 268.52/209.39 | (821) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (1594) op(e1, e4) = e2
% 268.52/209.39 | (747) all_0_30_30 = e2
% 268.52/209.39 |
% 268.52/209.39 | Equations (747) can reduce 740 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (672) ~ (all_0_34_34 = e2)
% 268.52/209.39 | (373) all_0_39_39 = e2
% 268.52/209.39 |
% 268.52/209.39 | Combining equations (373,380) yields a new equation:
% 268.52/209.39 | (836) e2 = e0
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 836 yields:
% 268.52/209.39 | (551) e2 = e0
% 268.52/209.39 |
% 268.52/209.39 | Equations (551) can reduce 347 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (428) ~ (all_0_38_38 = e1)
% 268.52/209.39 | (377) all_0_39_39 = e1
% 268.52/209.39 |
% 268.52/209.39 | Combining equations (380,377) yields a new equation:
% 268.52/209.39 | (961) e1 = e0
% 268.52/209.39 |
% 268.52/209.39 | Equations (961) can reduce 37 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (580) ~ (all_0_24_24 = e4)
% 268.52/209.39 | (1400) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (1400), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (1250) all_0_29_29 = e4
% 268.52/209.39 |
% 268.52/209.39 | Equations (1250) can reduce 724 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (724) ~ (all_0_29_29 = e4)
% 268.52/209.39 | (1735) all_0_34_34 = e4 | all_0_39_39 = e4
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (1735), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (723) all_0_34_34 = e4
% 268.52/209.39 |
% 268.52/209.39 | Equations (723) can reduce 1395 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (1395) ~ (all_0_34_34 = e4)
% 268.52/209.39 | (365) all_0_39_39 = e4
% 268.52/209.39 |
% 268.52/209.39 | Combining equations (365,380) yields a new equation:
% 268.52/209.39 | (842) e4 = e0
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 842 yields:
% 268.52/209.39 | (490) e4 = e0
% 268.52/209.39 |
% 268.52/209.39 | Equations (490) can reduce 287 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (584) ~ (all_0_31_31 = e4)
% 268.52/209.39 | (2611) all_0_36_36 = e4
% 268.52/209.39 |
% 268.52/209.39 | Equations (2611) can reduce 586 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (2658) ~ (all_0_37_37 = e4)
% 268.52/209.39 | (2659) all_0_38_38 = e4 | all_0_39_39 = e4
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (2659), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (1165) all_0_38_38 = e4
% 268.52/209.39 |
% 268.52/209.39 | Equations (1165) can reduce 1143 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (1143) ~ (all_0_38_38 = e4)
% 268.52/209.39 | (365) all_0_39_39 = e4
% 268.52/209.39 |
% 268.52/209.39 | Combining equations (380,365) yields a new equation:
% 268.52/209.39 | (490) e4 = e0
% 268.52/209.39 |
% 268.52/209.39 | Equations (490) can reduce 287 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (890) ~ (all_0_28_28 = e4)
% 268.52/209.39 | (895) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (36), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (887) all_0_18_18 = e4
% 268.52/209.39 |
% 268.52/209.39 | Equations (887) can reduce 1046 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (1046) ~ (all_0_18_18 = e4)
% 268.52/209.39 | (1051) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (285), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (1158) all_0_25_25 = e4
% 268.52/209.39 |
% 268.52/209.39 | Equations (1158) can reduce 501 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (501) ~ (all_0_25_25 = e4)
% 268.52/209.39 | (1217) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (72), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (468) all_0_15_15 = e3
% 268.52/209.39 |
% 268.52/209.39 | Combining equations (468,464) yields a new equation:
% 268.52/209.39 | (691) e4 = e3
% 268.52/209.39 |
% 268.52/209.39 | Equations (691) can reduce 277 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (433) ~ (all_0_15_15 = e3)
% 268.52/209.39 | (7544) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 268.52/209.39 |
% 268.52/209.39 | Equations (464) can reduce 433 to:
% 268.52/209.39 | (277) ~ (e4 = e3)
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (164), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (814) all_0_35_35 = e3
% 268.52/209.39 |
% 268.52/209.39 | Equations (814) can reduce 249 to:
% 268.52/209.39 | (564) ~ (all_0_20_20 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Equations (814) can reduce 98 to:
% 268.52/209.39 | (566) ~ (all_0_25_25 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Equations (814) can reduce 273 to:
% 268.52/209.39 | (4164) ~ (all_0_36_36 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 4164 yields:
% 268.52/209.39 | (516) ~ (all_0_36_36 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Equations (814) can reduce 121 to:
% 268.52/209.39 | (776) ~ (all_0_37_37 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 776 yields:
% 268.52/209.39 | (777) ~ (all_0_37_37 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Equations (814) can reduce 173 to:
% 268.52/209.39 | (2070) ~ (all_0_38_38 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 2070 yields:
% 268.52/209.39 | (1080) ~ (all_0_38_38 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Equations (814) can reduce 514 to:
% 268.52/209.39 | (695) ~ (e4 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 695 yields:
% 268.52/209.39 | (277) ~ (e4 = e3)
% 268.52/209.39 |
% 268.52/209.39 | Equations (814) can reduce 385 to:
% 268.52/209.39 | (88) ~ (e3 = e0)
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (2614), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (818) all_0_36_36 = e3
% 268.52/209.39 |
% 268.52/209.39 | Equations (818) can reduce 516 to:
% 268.52/209.39 | (366) $false
% 268.52/209.39 |
% 268.52/209.39 |-The branch is then unsatisfiable
% 268.52/209.39 |-Branch two:
% 268.52/209.39 | (516) ~ (all_0_36_36 = e3)
% 268.52/209.39 | (3567) all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 268.52/209.39 |
% 268.52/209.39 +-Applying beta-rule and splitting (3567), into two cases.
% 268.52/209.39 |-Branch one:
% 268.52/209.39 | (801) all_0_36_36 = e2
% 268.52/209.39 |
% 268.52/209.39 | Equations (801) can reduce 64 to:
% 268.52/209.39 | (664) ~ (all_0_16_16 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Equations (801) can reduce 7 to:
% 268.52/209.39 | (1099) ~ (all_0_31_31 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Equations (801) can reduce 183 to:
% 268.52/209.39 | (654) ~ (all_0_37_37 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 654 yields:
% 268.52/209.39 | (515) ~ (all_0_37_37 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Equations (801) can reduce 93 to:
% 268.52/209.39 | (1130) ~ (all_0_38_38 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 1130 yields:
% 268.52/209.39 | (1084) ~ (all_0_38_38 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Equations (801) can reduce 586 to:
% 268.52/209.39 | (444) ~ (e4 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 444 yields:
% 268.52/209.39 | (19) ~ (e4 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Equations (801) can reduce 516 to:
% 268.52/209.39 | (658) ~ (e3 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Simplifying 658 yields:
% 268.52/209.39 | (56) ~ (e3 = e2)
% 268.52/209.39 |
% 268.52/209.39 | Equations (801) can reduce 386 to:
% 268.52/209.39 | (347) ~ (e2 = e0)
% 268.52/209.39 |
% 268.52/209.39 | From (801) and (5) follows:
% 268.52/209.40 | (32740) op(e2, all_0_24_24) = e3
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (31374), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (32741) all_0_5_5 = all_0_31_31 & ~ (all_0_31_31 = e2)
% 268.52/209.40 |
% 268.52/209.40 | Applying alpha-rule on (32741) yields:
% 268.52/209.40 | (32742) all_0_5_5 = all_0_31_31
% 268.52/209.40 | (1099) ~ (all_0_31_31 = e2)
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (115), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (1446) all_0_31_31 = e4
% 268.52/209.40 |
% 268.52/209.40 | Equations (1446) can reduce 145 to:
% 268.52/209.40 | (582) ~ (all_0_26_26 = e4)
% 268.52/209.40 |
% 268.52/209.40 | Equations (1446) can reduce 510 to:
% 268.52/209.40 | (277) ~ (e4 = e3)
% 268.52/209.40 |
% 268.52/209.40 | Equations (1446) can reduce 1099 to:
% 268.52/209.40 | (19) ~ (e4 = e2)
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (1217), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (1237) all_0_26_26 = e4
% 268.52/209.40 |
% 268.52/209.40 | Equations (1237) can reduce 582 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (582) ~ (all_0_26_26 = e4)
% 268.52/209.40 | (1240) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (1240), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (435) all_0_27_27 = e4
% 268.52/209.40 |
% 268.52/209.40 | Combining equations (435,443) yields a new equation:
% 268.52/209.40 | (1111) e4 = e2
% 268.52/209.40 |
% 268.52/209.40 | Simplifying 1111 yields:
% 268.52/209.40 | (539) e4 = e2
% 268.52/209.40 |
% 268.52/209.40 | Equations (539) can reduce 19 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (404) ~ (all_0_27_27 = e4)
% 268.52/209.40 | (1245) all_0_28_28 = e4 | all_0_29_29 = e4
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (1245), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (892) all_0_28_28 = e4
% 268.52/209.40 |
% 268.52/209.40 | Equations (892) can reduce 890 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (890) ~ (all_0_28_28 = e4)
% 268.52/209.40 | (1250) all_0_29_29 = e4
% 268.52/209.40 |
% 268.52/209.40 | Equations (1250) can reduce 383 to:
% 268.52/209.40 | (287) ~ (e4 = e0)
% 268.52/209.40 |
% 268.52/209.40 | From (1250) and (348) follows:
% 268.52/209.40 | (4364) op(e4, all_0_37_37) = e0
% 268.52/209.40 |
% 268.52/209.40 | From (1250) and (310) follows:
% 268.52/209.40 | (1407) op(all_0_37_37, e4) = e2
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (168), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (2438) all_0_25_25 = e3
% 268.52/209.40 |
% 268.52/209.40 | Equations (2438) can reduce 566 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (566) ~ (all_0_25_25 = e3)
% 268.52/209.40 | (2442) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (2442), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (2443) all_0_26_26 = e3
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (279), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (873) all_0_16_16 = e0
% 268.52/209.40 |
% 268.52/209.40 | Equations (873) can reduce 9 to:
% 268.52/209.40 | (3378) ~ (all_0_18_18 = e0)
% 268.52/209.40 |
% 268.52/209.40 | Simplifying 3378 yields:
% 268.52/209.40 | (1156) ~ (all_0_18_18 = e0)
% 268.52/209.40 |
% 268.52/209.40 | Instantiating formula (97) with e4, e4, e2, e4 and discharging atoms op(e4, e4) = e4, yields:
% 268.52/209.40 | (15142) e4 = e2 | ~ (op(e4, e4) = e2)
% 268.52/209.40 |
% 268.52/209.40 | Instantiating formula (97) with e4, e1, e0, all_0_18_18 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 268.52/209.40 | (2808) all_0_18_18 = e0 | ~ (op(e4, e1) = e0)
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (271), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (1232) all_0_37_37 = e4
% 268.52/209.40 |
% 268.52/209.40 | Equations (1232) can reduce 515 to:
% 268.52/209.40 | (19) ~ (e4 = e2)
% 268.52/209.40 |
% 268.52/209.40 | From (1232) and (1407) follows:
% 268.52/209.40 | (1335) op(e4, e4) = e2
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (15142), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (1336) ~ (op(e4, e4) = e2)
% 268.52/209.40 |
% 268.52/209.40 | Using (1335) and (1336) yields:
% 268.52/209.40 | (821) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (1335) op(e4, e4) = e2
% 268.52/209.40 | (539) e4 = e2
% 268.52/209.40 |
% 268.52/209.40 | Equations (539) can reduce 19 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (2658) ~ (all_0_37_37 = e4)
% 268.52/209.40 | (3872) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (3872), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (1073) all_0_37_37 = e3
% 268.52/209.40 |
% 268.52/209.40 | Equations (1073) can reduce 777 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (777) ~ (all_0_37_37 = e3)
% 268.52/209.40 | (3886) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (3886), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (805) all_0_37_37 = e2
% 268.52/209.40 |
% 268.52/209.40 | Equations (805) can reduce 515 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (515) ~ (all_0_37_37 = e2)
% 268.52/209.40 | (3890) all_0_37_37 = e1 | all_0_37_37 = e0
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (3890), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (1590) all_0_37_37 = e1
% 268.52/209.40 |
% 268.52/209.40 | From (1590) and (4364) follows:
% 268.52/209.40 | (2158) op(e4, e1) = e0
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (2808), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (3024) ~ (op(e4, e1) = e0)
% 268.52/209.40 |
% 268.52/209.40 | Using (2158) and (3024) yields:
% 268.52/209.40 | (821) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (2158) op(e4, e1) = e0
% 268.52/209.40 | (1153) all_0_18_18 = e0
% 268.52/209.40 |
% 268.52/209.40 | Equations (1153) can reduce 1156 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (2562) ~ (all_0_37_37 = e1)
% 268.52/209.40 | (3111) all_0_37_37 = e0
% 268.52/209.40 |
% 268.52/209.40 | Equations (3111) can reduce 387 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (824) ~ (all_0_16_16 = e0)
% 268.52/209.40 | (876) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (876), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (529) all_0_21_21 = e0
% 268.52/209.40 |
% 268.52/209.40 | Combining equations (529,526) yields a new equation:
% 268.52/209.40 | (961) e1 = e0
% 268.52/209.40 |
% 268.52/209.40 | Equations (961) can reduce 37 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (398) ~ (all_0_21_21 = e0)
% 268.52/209.40 | (882) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (882), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (883) all_0_26_26 = e0
% 268.52/209.40 |
% 268.52/209.40 | Combining equations (883,2443) yields a new equation:
% 268.52/209.40 | (980) e3 = e0
% 268.52/209.40 |
% 268.52/209.40 | Equations (980) can reduce 88 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (1058) ~ (all_0_26_26 = e0)
% 268.52/209.40 | (1059) all_0_31_31 = e0 | all_0_36_36 = e0
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (1059), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (1060) all_0_31_31 = e0
% 268.52/209.40 |
% 268.52/209.40 | Combining equations (1446,1060) yields a new equation:
% 268.52/209.40 | (842) e4 = e0
% 268.52/209.40 |
% 268.52/209.40 | Simplifying 842 yields:
% 268.52/209.40 | (490) e4 = e0
% 268.52/209.40 |
% 268.52/209.40 | Equations (490) can reduce 287 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (1064) ~ (all_0_31_31 = e0)
% 268.52/209.40 | (1065) all_0_36_36 = e0
% 268.52/209.40 |
% 268.52/209.40 | Combining equations (1065,801) yields a new equation:
% 268.52/209.40 | (551) e2 = e0
% 268.52/209.40 |
% 268.52/209.40 | Equations (551) can reduce 347 to:
% 268.52/209.40 | (366) $false
% 268.52/209.40 |
% 268.52/209.40 |-The branch is then unsatisfiable
% 268.52/209.40 |-Branch two:
% 268.52/209.40 | (504) ~ (all_0_26_26 = e3)
% 268.52/209.40 | (2448) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 268.52/209.40 |
% 268.52/209.40 +-Applying beta-rule and splitting (2448), into two cases.
% 268.52/209.40 |-Branch one:
% 268.52/209.40 | (439) all_0_27_27 = e3
% 268.52/209.40 |
% 268.52/209.40 | Combining equations (439,443) yields a new equation:
% 268.52/209.41 | (3874) e3 = e2
% 268.52/209.41 |
% 268.52/209.41 | Simplifying 3874 yields:
% 268.52/209.41 | (764) e3 = e2
% 268.52/209.41 |
% 268.52/209.41 | Equations (764) can reduce 56 to:
% 268.52/209.41 | (366) $false
% 268.52/209.41 |
% 268.52/209.41 |-The branch is then unsatisfiable
% 268.52/209.41 |-Branch two:
% 268.52/209.41 | (400) ~ (all_0_27_27 = e3)
% 268.52/209.41 | (2453) all_0_28_28 = e3 | all_0_29_29 = e3
% 268.52/209.41 |
% 268.52/209.41 +-Applying beta-rule and splitting (2453), into two cases.
% 268.52/209.41 |-Branch one:
% 268.52/209.41 | (896) all_0_28_28 = e3
% 268.52/209.41 |
% 268.52/209.41 | Equations (896) can reduce 1035 to:
% 268.52/209.41 | (366) $false
% 268.52/209.41 |
% 268.52/209.41 |-The branch is then unsatisfiable
% 268.52/209.41 |-Branch two:
% 268.52/209.41 | (1035) ~ (all_0_28_28 = e3)
% 268.52/209.41 | (1023) all_0_29_29 = e3
% 268.52/209.41 |
% 268.52/209.41 | Combining equations (1250,1023) yields a new equation:
% 268.52/209.41 | (690) e4 = e3
% 268.52/209.41 |
% 268.52/209.41 | Simplifying 690 yields:
% 268.52/209.41 | (691) e4 = e3
% 268.52/209.41 |
% 268.52/209.41 | Equations (691) can reduc