TSTP Solution File: LCL650+1.005 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : LCL650+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 : Sun Jul 17 09:37:43 EDT 2022
% Result : Theorem 208.55s 166.98s
% Output : Proof 214.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL650+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 00:43:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.59 ____ _
% 0.19/0.59 ___ / __ \_____(_)___ ________ __________
% 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic
% 0.19/0.59 (ePrincess v.1.0)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2015
% 0.19/0.59 (c) Peter Backeman, 2014-2015
% 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.59 Bug reports to peter@backeman.se
% 0.19/0.59
% 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.32/1.12 Prover 0: Preprocessing ...
% 3.78/1.49 Prover 0: Constructing countermodel ...
% 13.44/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 14.24/6.13 Prover 1: Preprocessing ...
% 15.66/6.46 Prover 1: Constructing countermodel ...
% 20.60/8.53 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 20.98/8.72 Prover 2: Preprocessing ...
% 22.70/9.08 Prover 2: Warning: ignoring some quantifiers
% 22.70/9.09 Prover 2: Constructing countermodel ...
% 29.07/11.54 Prover 0: stopped
% 29.30/11.74 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 29.48/11.89 Prover 3: Preprocessing ...
% 29.60/11.94 Prover 3: Constructing countermodel ...
% 78.30/53.08 Prover 3: stopped
% 78.49/53.28 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 79.20/53.52 Prover 4: Preprocessing ...
% 79.98/53.76 Prover 4: Warning: ignoring some quantifiers
% 80.32/53.77 Prover 4: Constructing countermodel ...
% 133.54/102.36 Prover 1: stopped
% 133.70/102.56 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 133.98/102.77 Prover 5: Preprocessing ...
% 134.92/102.99 Prover 5: Constructing countermodel ...
% 144.01/111.32 Prover 5: stopped
% 144.37/111.52 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 144.55/111.65 Prover 6: Preprocessing ...
% 145.11/111.78 Prover 6: Warning: ignoring some quantifiers
% 145.11/111.79 Prover 6: Constructing countermodel ...
% 163.16/128.00 Prover 2: stopped
% 163.35/128.20 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 163.67/128.42 Prover 7: Preprocessing ...
% 163.67/128.44 Prover 7: Constructing countermodel ...
% 204.36/164.62 Prover 4: stopped
% 204.57/164.82 Prover 8: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 204.85/164.99 Prover 8: Preprocessing ...
% 205.15/165.13 Prover 8: Constructing countermodel ...
% 208.55/166.98 Prover 8: proved (2160ms)
% 208.55/166.98 Prover 6: stopped
% 208.55/166.98 Prover 7: stopped
% 208.55/166.98
% 208.55/166.98 No countermodel exists, formula is valid
% 208.55/166.98 % SZS status Theorem for theBenchmark
% 208.55/166.98
% 208.55/166.98 Generating proof ... found it (size 809)
% 211.71/168.48
% 211.71/168.48 % SZS output start Proof for theBenchmark
% 211.71/168.48 Assumed formulas after preprocessing and simplification:
% 211.71/168.48 | (0) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (r1(v3, v2) = v1) | ~ (r1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p3(v2) = v1) | ~ (p3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p5(v2) = v1) | ~ (p5(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p7(v2) = v1) | ~ (p7(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p9(v2) = v1) | ~ (p9(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p11(v2) = v1) | ~ (p11(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p13(v2) = v1) | ~ (p13(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p1(v2) = v1) | ~ (p1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p15(v2) = v1) | ~ (p15(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p17(v2) = v1) | ~ (p17(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p32(v2) = v1) | ~ (p32(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p30(v2) = v1) | ~ (p30(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p28(v2) = v1) | ~ (p28(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p26(v2) = v1) | ~ (p26(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p24(v2) = v1) | ~ (p24(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p22(v2) = v1) | ~ (p22(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p20(v2) = v1) | ~ (p20(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p18(v2) = v1) | ~ (p18(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p16(v2) = v1) | ~ (p16(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p14(v2) = v1) | ~ (p14(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p12(v2) = v1) | ~ (p12(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p10(v2) = v1) | ~ (p10(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p8(v2) = v1) | ~ (p8(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p6(v2) = v1) | ~ (p6(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p4(v2) = v1) | ~ (p4(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p2(v2) = v1) | ~ (p2(v2) = v0)) & ? [v0] : ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p1(v16) = v17) | ? [v18] : ? [v19] : (p15(v16) = v19 & r1(v15, v16) = v18 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p15(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p14(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p13(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p14(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p13(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p12(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p11(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p12(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p11(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p10(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p9(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p10(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p9(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p8(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p7(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p8(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p7(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p6(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p5(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p6(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ( ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p5(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p4(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))) & ! [v13] : ( ~ (r1(v12, v13) = 0) | ( ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p3(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p4(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))) & ! [v14] : ( ~ (r1(v13, v14) = 0) | ( ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p3(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p2(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))) & ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p1(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p2(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))) & ? [v15] : ? [v16] : ( ~ (v16 = 0) & p3(v15) = v16 & r1(v14, v15) = 0))) & ? [v14] : ? [v15] : ( ~ (v15 = 0) & r1(v13, v14) = 0 & p4(v14) = v15))) & ? [v13] : ? [v14] : ( ~ (v14 = 0) & p5(v13) = v14 & r1(v12, v13) = 0))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & r1(v11, v12) = 0 & p6(v12) = v13))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p7(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p8(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p9(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p10(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p11(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p12(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p13(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p14(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p15(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p16(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p17(v1) = v2 & r1(v0, v1) = 0) & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : (r1(v13, v14) = 0 & ? [v15] : (r1(v14, v15) = 0 & ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (p3(v16) = v30 & p5(v16) = v28 & p7(v16) = v26 & p9(v16) = v24 & p11(v16) = v22 & p13(v16) = v20 & p1(v16) = v32 & p15(v16) = v18 & r1(v15, v16) = 0 & p16(v16) = v17 & p14(v16) = v19 & p12(v16) = v21 & p10(v16) = v23 & p8(v16) = v25 & p6(v16) = v27 & p4(v16) = v29 & p2(v16) = v31 & ( ~ (v32 = 0) | ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))))))))))))))))) & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : (r1(v13, v14) = 0 & ? [v15] : (r1(v14, v15) = 0 & ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (r1(v15, v16) = 0 & p32(v16) = v17 & p30(v16) = v18 & p28(v16) = v19 & p26(v16) = v20 & p24(v16) = v21 & p22(v16) = v22 & p20(v16) = v23 & p18(v16) = v24 & p16(v16) = v25 & p14(v16) = v26 & p12(v16) = v27 & p10(v16) = v28 & p8(v16) = v29 & p6(v16) = v30 & p4(v16) = v31 & p2(v16) = v32 & (v32 = 0 | v31 = 0 | v30 = 0 | v29 = 0 | v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0))))))))))))))))))
% 211.84/168.54 | Applying alpha-rule on (0) yields:
% 211.84/168.54 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p6(v2) = v1) | ~ (p6(v2) = v0))
% 211.84/168.54 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p16(v2) = v1) | ~ (p16(v2) = v0))
% 211.84/168.54 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p12(v2) = v1) | ~ (p12(v2) = v0))
% 211.84/168.54 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p13(v2) = v1) | ~ (p13(v2) = v0))
% 211.84/168.54 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p1(v2) = v1) | ~ (p1(v2) = v0))
% 211.84/168.54 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p4(v2) = v1) | ~ (p4(v2) = v0))
% 211.84/168.54 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p26(v2) = v1) | ~ (p26(v2) = v0))
% 211.84/168.54 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p14(v2) = v1) | ~ (p14(v2) = v0))
% 211.84/168.54 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p32(v2) = v1) | ~ (p32(v2) = v0))
% 211.84/168.54 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p9(v2) = v1) | ~ (p9(v2) = v0))
% 211.84/168.54 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p20(v2) = v1) | ~ (p20(v2) = v0))
% 211.84/168.54 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p7(v2) = v1) | ~ (p7(v2) = v0))
% 211.84/168.54 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p17(v2) = v1) | ~ (p17(v2) = v0))
% 211.84/168.54 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (r1(v3, v2) = v1) | ~ (r1(v3, v2) = v0))
% 211.84/168.54 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p10(v2) = v1) | ~ (p10(v2) = v0))
% 211.84/168.54 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p5(v2) = v1) | ~ (p5(v2) = v0))
% 211.84/168.54 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p8(v2) = v1) | ~ (p8(v2) = v0))
% 211.84/168.54 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p2(v2) = v1) | ~ (p2(v2) = v0))
% 211.84/168.54 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p22(v2) = v1) | ~ (p22(v2) = v0))
% 211.84/168.54 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p15(v2) = v1) | ~ (p15(v2) = v0))
% 211.84/168.54 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p30(v2) = v1) | ~ (p30(v2) = v0))
% 211.84/168.54 | (22) ? [v0] : ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p1(v16) = v17) | ? [v18] : ? [v19] : (p15(v16) = v19 & r1(v15, v16) = v18 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p15(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p14(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p13(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p14(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p13(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p12(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p11(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p12(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p11(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p10(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p9(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p10(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p9(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p8(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p7(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p8(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p7(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p6(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p5(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p6(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ( ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p5(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p4(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))))) & ! [v13] : ( ~ (r1(v12, v13) = 0) | ( ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p3(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p4(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0))))))) & ! [v14] : ( ~ (r1(v13, v14) = 0) | ( ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p3(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p2(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))) & ! [v15] : ( ~ (r1(v14, v15) = 0) | ! [v16] : ! [v17] : ( ~ (p1(v16) = v17) | ? [v18] : ? [v19] : (r1(v15, v16) = v18 & p2(v16) = v19 & ( ~ (v18 = 0) | (( ~ (v19 = 0) | ~ (v17 = 0)) & (v19 = 0 | v17 = 0)))))) & ? [v15] : ? [v16] : ( ~ (v16 = 0) & p3(v15) = v16 & r1(v14, v15) = 0))) & ? [v14] : ? [v15] : ( ~ (v15 = 0) & r1(v13, v14) = 0 & p4(v14) = v15))) & ? [v13] : ? [v14] : ( ~ (v14 = 0) & p5(v13) = v14 & r1(v12, v13) = 0))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & r1(v11, v12) = 0 & p6(v12) = v13))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p7(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p8(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p9(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p10(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p11(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p12(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p13(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p14(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p15(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p16(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p17(v1) = v2 & r1(v0, v1) = 0) & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : (r1(v13, v14) = 0 & ? [v15] : (r1(v14, v15) = 0 & ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (p3(v16) = v30 & p5(v16) = v28 & p7(v16) = v26 & p9(v16) = v24 & p11(v16) = v22 & p13(v16) = v20 & p1(v16) = v32 & p15(v16) = v18 & r1(v15, v16) = 0 & p16(v16) = v17 & p14(v16) = v19 & p12(v16) = v21 & p10(v16) = v23 & p8(v16) = v25 & p6(v16) = v27 & p4(v16) = v29 & p2(v16) = v31 & ( ~ (v32 = 0) | ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))))))))))))))))) & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : (r1(v13, v14) = 0 & ? [v15] : (r1(v14, v15) = 0 & ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (r1(v15, v16) = 0 & p32(v16) = v17 & p30(v16) = v18 & p28(v16) = v19 & p26(v16) = v20 & p24(v16) = v21 & p22(v16) = v22 & p20(v16) = v23 & p18(v16) = v24 & p16(v16) = v25 & p14(v16) = v26 & p12(v16) = v27 & p10(v16) = v28 & p8(v16) = v29 & p6(v16) = v30 & p4(v16) = v31 & p2(v16) = v32 & (v32 = 0 | v31 = 0 | v30 = 0 | v29 = 0 | v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0))))))))))))))))))
% 211.84/168.57 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p3(v2) = v1) | ~ (p3(v2) = v0))
% 211.84/168.57 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p11(v2) = v1) | ~ (p11(v2) = v0))
% 211.84/168.57 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p24(v2) = v1) | ~ (p24(v2) = v0))
% 211.84/168.57 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p28(v2) = v1) | ~ (p28(v2) = v0))
% 211.84/168.57 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p18(v2) = v1) | ~ (p18(v2) = v0))
% 211.84/168.57 |
% 211.84/168.57 | Instantiating (22) with all_1_0_0 yields:
% 211.84/168.57 | (28) ! [v0] : ( ~ (r1(all_1_0_0, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p1(v15) = v16) | ? [v17] : ? [v18] : (p15(v15) = v18 & r1(v14, v15) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p15(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p14(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p13(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p14(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p13(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p12(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p11(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p12(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p11(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p10(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p9(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p10(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p9(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p8(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p7(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p8(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p7(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p6(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p5(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p6(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p5(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p4(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ( ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p3(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p4(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))) & ! [v13] : ( ~ (r1(v12, v13) = 0) | ( ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p3(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p2(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))) & ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p1(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p2(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))) & ? [v14] : ? [v15] : ( ~ (v15 = 0) & p3(v14) = v15 & r1(v13, v14) = 0))) & ? [v13] : ? [v14] : ( ~ (v14 = 0) & r1(v12, v13) = 0 & p4(v13) = v14))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & p5(v12) = v13 & r1(v11, v12) = 0))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & r1(v10, v11) = 0 & p6(v11) = v12))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p7(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p8(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p9(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p10(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p11(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p12(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p13(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p14(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p15(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p16(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p17(v0) = v1 & r1(all_1_0_0, v0) = 0) & ? [v0] : (r1(all_1_0_0, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : (r1(v13, v14) = 0 & ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (p3(v15) = v29 & p5(v15) = v27 & p7(v15) = v25 & p9(v15) = v23 & p11(v15) = v21 & p13(v15) = v19 & p1(v15) = v31 & p15(v15) = v17 & r1(v14, v15) = 0 & p16(v15) = v16 & p14(v15) = v18 & p12(v15) = v20 & p10(v15) = v22 & p8(v15) = v24 & p6(v15) = v26 & p4(v15) = v28 & p2(v15) = v30 & ( ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))))))))))))))))) & ? [v0] : (r1(all_1_0_0, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : (r1(v13, v14) = 0 & ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (r1(v14, v15) = 0 & p32(v15) = v16 & p30(v15) = v17 & p28(v15) = v18 & p26(v15) = v19 & p24(v15) = v20 & p22(v15) = v21 & p20(v15) = v22 & p18(v15) = v23 & p16(v15) = v24 & p14(v15) = v25 & p12(v15) = v26 & p10(v15) = v27 & p8(v15) = v28 & p6(v15) = v29 & p4(v15) = v30 & p2(v15) = v31 & (v31 = 0 | v30 = 0 | v29 = 0 | v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0)))))))))))))))))
% 211.84/168.58 |
% 211.84/168.58 | Applying alpha-rule on (28) yields:
% 211.84/168.58 | (29) ! [v0] : ( ~ (r1(all_1_0_0, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p1(v15) = v16) | ? [v17] : ? [v18] : (p15(v15) = v18 & r1(v14, v15) = v17 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p15(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p14(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p13(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p14(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p13(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p12(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p11(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p12(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p11(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p10(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p9(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p10(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p9(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p8(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p7(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p8(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p7(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p6(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p5(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p6(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p5(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p4(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ( ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p3(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p4(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0))))))) & ! [v13] : ( ~ (r1(v12, v13) = 0) | ( ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p3(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p2(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))) & ! [v14] : ( ~ (r1(v13, v14) = 0) | ! [v15] : ! [v16] : ( ~ (p1(v15) = v16) | ? [v17] : ? [v18] : (r1(v14, v15) = v17 & p2(v15) = v18 & ( ~ (v17 = 0) | (( ~ (v18 = 0) | ~ (v16 = 0)) & (v18 = 0 | v16 = 0)))))) & ? [v14] : ? [v15] : ( ~ (v15 = 0) & p3(v14) = v15 & r1(v13, v14) = 0))) & ? [v13] : ? [v14] : ( ~ (v14 = 0) & r1(v12, v13) = 0 & p4(v13) = v14))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & p5(v12) = v13 & r1(v11, v12) = 0))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & r1(v10, v11) = 0 & p6(v11) = v12))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p7(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p8(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p9(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p10(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p11(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p12(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p13(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p14(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p15(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p16(v1) = v2)))
% 211.84/168.59 | (30) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p17(v0) = v1 & r1(all_1_0_0, v0) = 0)
% 211.84/168.59 | (31) ? [v0] : (r1(all_1_0_0, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : (r1(v13, v14) = 0 & ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (p3(v15) = v29 & p5(v15) = v27 & p7(v15) = v25 & p9(v15) = v23 & p11(v15) = v21 & p13(v15) = v19 & p1(v15) = v31 & p15(v15) = v17 & r1(v14, v15) = 0 & p16(v15) = v16 & p14(v15) = v18 & p12(v15) = v20 & p10(v15) = v22 & p8(v15) = v24 & p6(v15) = v26 & p4(v15) = v28 & p2(v15) = v30 & ( ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))))))))))))))))
% 211.84/168.59 | (32) ? [v0] : (r1(all_1_0_0, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : (r1(v13, v14) = 0 & ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (r1(v14, v15) = 0 & p32(v15) = v16 & p30(v15) = v17 & p28(v15) = v18 & p26(v15) = v19 & p24(v15) = v20 & p22(v15) = v21 & p20(v15) = v22 & p18(v15) = v23 & p16(v15) = v24 & p14(v15) = v25 & p12(v15) = v26 & p10(v15) = v27 & p8(v15) = v28 & p6(v15) = v29 & p4(v15) = v30 & p2(v15) = v31 & (v31 = 0 | v30 = 0 | v29 = 0 | v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0)))))))))))))))))
% 211.84/168.59 |
% 211.84/168.59 | Instantiating (31) with all_3_0_1 yields:
% 211.84/168.59 | (33) r1(all_1_0_0, all_3_0_1) = 0 & ? [v0] : (r1(all_3_0_1, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (p3(v14) = v28 & p5(v14) = v26 & p7(v14) = v24 & p9(v14) = v22 & p11(v14) = v20 & p13(v14) = v18 & p1(v14) = v30 & p15(v14) = v16 & r1(v13, v14) = 0 & p16(v14) = v15 & p14(v14) = v17 & p12(v14) = v19 & p10(v14) = v21 & p8(v14) = v23 & p6(v14) = v25 & p4(v14) = v27 & p2(v14) = v29 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))))))))))))))))
% 211.84/168.60 |
% 211.84/168.60 | Applying alpha-rule on (33) yields:
% 211.84/168.60 | (34) r1(all_1_0_0, all_3_0_1) = 0
% 211.84/168.60 | (35) ? [v0] : (r1(all_3_0_1, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (p3(v14) = v28 & p5(v14) = v26 & p7(v14) = v24 & p9(v14) = v22 & p11(v14) = v20 & p13(v14) = v18 & p1(v14) = v30 & p15(v14) = v16 & r1(v13, v14) = 0 & p16(v14) = v15 & p14(v14) = v17 & p12(v14) = v19 & p10(v14) = v21 & p8(v14) = v23 & p6(v14) = v25 & p4(v14) = v27 & p2(v14) = v29 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))))))))))))))))
% 211.84/168.60 |
% 211.84/168.60 | Instantiating (32) with all_5_0_2 yields:
% 211.84/168.60 | (36) r1(all_1_0_0, all_5_0_2) = 0 & ? [v0] : (r1(all_5_0_2, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (r1(v13, v14) = 0 & p32(v14) = v15 & p30(v14) = v16 & p28(v14) = v17 & p26(v14) = v18 & p24(v14) = v19 & p22(v14) = v20 & p20(v14) = v21 & p18(v14) = v22 & p16(v14) = v23 & p14(v14) = v24 & p12(v14) = v25 & p10(v14) = v26 & p8(v14) = v27 & p6(v14) = v28 & p4(v14) = v29 & p2(v14) = v30 & (v30 = 0 | v29 = 0 | v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0))))))))))))))))
% 211.84/168.60 |
% 211.84/168.60 | Applying alpha-rule on (36) yields:
% 211.84/168.60 | (37) r1(all_1_0_0, all_5_0_2) = 0
% 211.84/168.60 | (38) ? [v0] : (r1(all_5_0_2, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : (r1(v12, v13) = 0 & ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (r1(v13, v14) = 0 & p32(v14) = v15 & p30(v14) = v16 & p28(v14) = v17 & p26(v14) = v18 & p24(v14) = v19 & p22(v14) = v20 & p20(v14) = v21 & p18(v14) = v22 & p16(v14) = v23 & p14(v14) = v24 & p12(v14) = v25 & p10(v14) = v26 & p8(v14) = v27 & p6(v14) = v28 & p4(v14) = v29 & p2(v14) = v30 & (v30 = 0 | v29 = 0 | v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0))))))))))))))))
% 211.84/168.60 |
% 211.84/168.60 | Instantiating (35) with all_9_0_5 yields:
% 211.84/168.60 | (39) r1(all_3_0_1, all_9_0_5) = 0 & ? [v0] : (r1(all_9_0_5, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (p3(v13) = v27 & p5(v13) = v25 & p7(v13) = v23 & p9(v13) = v21 & p11(v13) = v19 & p13(v13) = v17 & p1(v13) = v29 & p15(v13) = v15 & r1(v12, v13) = 0 & p16(v13) = v14 & p14(v13) = v16 & p12(v13) = v18 & p10(v13) = v20 & p8(v13) = v22 & p6(v13) = v24 & p4(v13) = v26 & p2(v13) = v28 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0))))))))))))))))
% 211.84/168.60 |
% 211.84/168.60 | Applying alpha-rule on (39) yields:
% 211.84/168.60 | (40) r1(all_3_0_1, all_9_0_5) = 0
% 211.84/168.60 | (41) ? [v0] : (r1(all_9_0_5, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (p3(v13) = v27 & p5(v13) = v25 & p7(v13) = v23 & p9(v13) = v21 & p11(v13) = v19 & p13(v13) = v17 & p1(v13) = v29 & p15(v13) = v15 & r1(v12, v13) = 0 & p16(v13) = v14 & p14(v13) = v16 & p12(v13) = v18 & p10(v13) = v20 & p8(v13) = v22 & p6(v13) = v24 & p4(v13) = v26 & p2(v13) = v28 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0))))))))))))))))
% 211.84/168.60 |
% 211.84/168.60 | Instantiating (38) with all_11_0_6 yields:
% 211.84/168.60 | (42) r1(all_5_0_2, all_11_0_6) = 0 & ? [v0] : (r1(all_11_0_6, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (r1(v12, v13) = 0 & p32(v13) = v14 & p30(v13) = v15 & p28(v13) = v16 & p26(v13) = v17 & p24(v13) = v18 & p22(v13) = v19 & p20(v13) = v20 & p18(v13) = v21 & p16(v13) = v22 & p14(v13) = v23 & p12(v13) = v24 & p10(v13) = v25 & p8(v13) = v26 & p6(v13) = v27 & p4(v13) = v28 & p2(v13) = v29 & (v29 = 0 | v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0)))))))))))))))
% 211.84/168.60 |
% 211.84/168.60 | Applying alpha-rule on (42) yields:
% 211.84/168.60 | (43) r1(all_5_0_2, all_11_0_6) = 0
% 211.84/168.60 | (44) ? [v0] : (r1(all_11_0_6, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : (r1(v11, v12) = 0 & ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (r1(v12, v13) = 0 & p32(v13) = v14 & p30(v13) = v15 & p28(v13) = v16 & p26(v13) = v17 & p24(v13) = v18 & p22(v13) = v19 & p20(v13) = v20 & p18(v13) = v21 & p16(v13) = v22 & p14(v13) = v23 & p12(v13) = v24 & p10(v13) = v25 & p8(v13) = v26 & p6(v13) = v27 & p4(v13) = v28 & p2(v13) = v29 & (v29 = 0 | v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0)))))))))))))))
% 211.84/168.61 |
% 211.84/168.61 | Instantiating (41) with all_13_0_7 yields:
% 211.84/168.61 | (45) r1(all_9_0_5, all_13_0_7) = 0 & ? [v0] : (r1(all_13_0_7, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (p3(v12) = v26 & p5(v12) = v24 & p7(v12) = v22 & p9(v12) = v20 & p11(v12) = v18 & p13(v12) = v16 & p1(v12) = v28 & p15(v12) = v14 & r1(v11, v12) = 0 & p16(v12) = v13 & p14(v12) = v15 & p12(v12) = v17 & p10(v12) = v19 & p8(v12) = v21 & p6(v12) = v23 & p4(v12) = v25 & p2(v12) = v27 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))))))))))))))
% 211.84/168.61 |
% 211.84/168.61 | Applying alpha-rule on (45) yields:
% 211.84/168.61 | (46) r1(all_9_0_5, all_13_0_7) = 0
% 211.84/168.61 | (47) ? [v0] : (r1(all_13_0_7, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (p3(v12) = v26 & p5(v12) = v24 & p7(v12) = v22 & p9(v12) = v20 & p11(v12) = v18 & p13(v12) = v16 & p1(v12) = v28 & p15(v12) = v14 & r1(v11, v12) = 0 & p16(v12) = v13 & p14(v12) = v15 & p12(v12) = v17 & p10(v12) = v19 & p8(v12) = v21 & p6(v12) = v23 & p4(v12) = v25 & p2(v12) = v27 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))))))))))))))
% 211.84/168.61 |
% 211.84/168.61 | Instantiating (44) with all_15_0_8 yields:
% 211.84/168.61 | (48) r1(all_11_0_6, all_15_0_8) = 0 & ? [v0] : (r1(all_15_0_8, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (r1(v11, v12) = 0 & p32(v12) = v13 & p30(v12) = v14 & p28(v12) = v15 & p26(v12) = v16 & p24(v12) = v17 & p22(v12) = v18 & p20(v12) = v19 & p18(v12) = v20 & p16(v12) = v21 & p14(v12) = v22 & p12(v12) = v23 & p10(v12) = v24 & p8(v12) = v25 & p6(v12) = v26 & p4(v12) = v27 & p2(v12) = v28 & (v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0))))))))))))))
% 211.84/168.61 |
% 211.84/168.61 | Applying alpha-rule on (48) yields:
% 211.84/168.61 | (49) r1(all_11_0_6, all_15_0_8) = 0
% 211.84/168.61 | (50) ? [v0] : (r1(all_15_0_8, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : (r1(v10, v11) = 0 & ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (r1(v11, v12) = 0 & p32(v12) = v13 & p30(v12) = v14 & p28(v12) = v15 & p26(v12) = v16 & p24(v12) = v17 & p22(v12) = v18 & p20(v12) = v19 & p18(v12) = v20 & p16(v12) = v21 & p14(v12) = v22 & p12(v12) = v23 & p10(v12) = v24 & p8(v12) = v25 & p6(v12) = v26 & p4(v12) = v27 & p2(v12) = v28 & (v28 = 0 | v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0))))))))))))))
% 211.84/168.61 |
% 211.84/168.61 | Instantiating (47) with all_17_0_9 yields:
% 211.84/168.61 | (51) r1(all_13_0_7, all_17_0_9) = 0 & ? [v0] : (r1(all_17_0_9, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (p3(v11) = v25 & p5(v11) = v23 & p7(v11) = v21 & p9(v11) = v19 & p11(v11) = v17 & p13(v11) = v15 & p1(v11) = v27 & p15(v11) = v13 & r1(v10, v11) = 0 & p16(v11) = v12 & p14(v11) = v14 & p12(v11) = v16 & p10(v11) = v18 & p8(v11) = v20 & p6(v11) = v22 & p4(v11) = v24 & p2(v11) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0))))))))))))))
% 212.31/168.61 |
% 212.31/168.61 | Applying alpha-rule on (51) yields:
% 212.31/168.61 | (52) r1(all_13_0_7, all_17_0_9) = 0
% 212.31/168.61 | (53) ? [v0] : (r1(all_17_0_9, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (p3(v11) = v25 & p5(v11) = v23 & p7(v11) = v21 & p9(v11) = v19 & p11(v11) = v17 & p13(v11) = v15 & p1(v11) = v27 & p15(v11) = v13 & r1(v10, v11) = 0 & p16(v11) = v12 & p14(v11) = v14 & p12(v11) = v16 & p10(v11) = v18 & p8(v11) = v20 & p6(v11) = v22 & p4(v11) = v24 & p2(v11) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0))))))))))))))
% 212.31/168.61 |
% 212.31/168.61 | Instantiating (50) with all_19_0_10 yields:
% 212.31/168.61 | (54) r1(all_15_0_8, all_19_0_10) = 0 & ? [v0] : (r1(all_19_0_10, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (r1(v10, v11) = 0 & p32(v11) = v12 & p30(v11) = v13 & p28(v11) = v14 & p26(v11) = v15 & p24(v11) = v16 & p22(v11) = v17 & p20(v11) = v18 & p18(v11) = v19 & p16(v11) = v20 & p14(v11) = v21 & p12(v11) = v22 & p10(v11) = v23 & p8(v11) = v24 & p6(v11) = v25 & p4(v11) = v26 & p2(v11) = v27 & (v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0)))))))))))))
% 212.31/168.61 |
% 212.31/168.61 | Applying alpha-rule on (54) yields:
% 212.31/168.61 | (55) r1(all_15_0_8, all_19_0_10) = 0
% 212.31/168.61 | (56) ? [v0] : (r1(all_19_0_10, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : (r1(v9, v10) = 0 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (r1(v10, v11) = 0 & p32(v11) = v12 & p30(v11) = v13 & p28(v11) = v14 & p26(v11) = v15 & p24(v11) = v16 & p22(v11) = v17 & p20(v11) = v18 & p18(v11) = v19 & p16(v11) = v20 & p14(v11) = v21 & p12(v11) = v22 & p10(v11) = v23 & p8(v11) = v24 & p6(v11) = v25 & p4(v11) = v26 & p2(v11) = v27 & (v27 = 0 | v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0)))))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Instantiating (53) with all_21_0_11 yields:
% 212.31/168.62 | (57) r1(all_17_0_9, all_21_0_11) = 0 & ? [v0] : (r1(all_21_0_11, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (p3(v10) = v24 & p5(v10) = v22 & p7(v10) = v20 & p9(v10) = v18 & p11(v10) = v16 & p13(v10) = v14 & p1(v10) = v26 & p15(v10) = v12 & r1(v9, v10) = 0 & p16(v10) = v11 & p14(v10) = v13 & p12(v10) = v15 & p10(v10) = v17 & p8(v10) = v19 & p6(v10) = v21 & p4(v10) = v23 & p2(v10) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Applying alpha-rule on (57) yields:
% 212.31/168.62 | (58) r1(all_17_0_9, all_21_0_11) = 0
% 212.31/168.62 | (59) ? [v0] : (r1(all_21_0_11, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (p3(v10) = v24 & p5(v10) = v22 & p7(v10) = v20 & p9(v10) = v18 & p11(v10) = v16 & p13(v10) = v14 & p1(v10) = v26 & p15(v10) = v12 & r1(v9, v10) = 0 & p16(v10) = v11 & p14(v10) = v13 & p12(v10) = v15 & p10(v10) = v17 & p8(v10) = v19 & p6(v10) = v21 & p4(v10) = v23 & p2(v10) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Instantiating (56) with all_23_0_12 yields:
% 212.31/168.62 | (60) r1(all_19_0_10, all_23_0_12) = 0 & ? [v0] : (r1(all_23_0_12, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (r1(v9, v10) = 0 & p32(v10) = v11 & p30(v10) = v12 & p28(v10) = v13 & p26(v10) = v14 & p24(v10) = v15 & p22(v10) = v16 & p20(v10) = v17 & p18(v10) = v18 & p16(v10) = v19 & p14(v10) = v20 & p12(v10) = v21 & p10(v10) = v22 & p8(v10) = v23 & p6(v10) = v24 & p4(v10) = v25 & p2(v10) = v26 & (v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0))))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Applying alpha-rule on (60) yields:
% 212.31/168.62 | (61) r1(all_19_0_10, all_23_0_12) = 0
% 212.31/168.62 | (62) ? [v0] : (r1(all_23_0_12, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : (r1(v8, v9) = 0 & ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (r1(v9, v10) = 0 & p32(v10) = v11 & p30(v10) = v12 & p28(v10) = v13 & p26(v10) = v14 & p24(v10) = v15 & p22(v10) = v16 & p20(v10) = v17 & p18(v10) = v18 & p16(v10) = v19 & p14(v10) = v20 & p12(v10) = v21 & p10(v10) = v22 & p8(v10) = v23 & p6(v10) = v24 & p4(v10) = v25 & p2(v10) = v26 & (v26 = 0 | v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0))))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Instantiating (59) with all_25_0_13 yields:
% 212.31/168.62 | (63) r1(all_21_0_11, all_25_0_13) = 0 & ? [v0] : (r1(all_25_0_13, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (p3(v9) = v23 & p5(v9) = v21 & p7(v9) = v19 & p9(v9) = v17 & p11(v9) = v15 & p13(v9) = v13 & p1(v9) = v25 & p15(v9) = v11 & r1(v8, v9) = 0 & p16(v9) = v10 & p14(v9) = v12 & p12(v9) = v14 & p10(v9) = v16 & p8(v9) = v18 & p6(v9) = v20 & p4(v9) = v22 & p2(v9) = v24 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Applying alpha-rule on (63) yields:
% 212.31/168.62 | (64) r1(all_21_0_11, all_25_0_13) = 0
% 212.31/168.62 | (65) ? [v0] : (r1(all_25_0_13, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (p3(v9) = v23 & p5(v9) = v21 & p7(v9) = v19 & p9(v9) = v17 & p11(v9) = v15 & p13(v9) = v13 & p1(v9) = v25 & p15(v9) = v11 & r1(v8, v9) = 0 & p16(v9) = v10 & p14(v9) = v12 & p12(v9) = v14 & p10(v9) = v16 & p8(v9) = v18 & p6(v9) = v20 & p4(v9) = v22 & p2(v9) = v24 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Instantiating (62) with all_27_0_14 yields:
% 212.31/168.62 | (66) r1(all_23_0_12, all_27_0_14) = 0 & ? [v0] : (r1(all_27_0_14, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (r1(v8, v9) = 0 & p32(v9) = v10 & p30(v9) = v11 & p28(v9) = v12 & p26(v9) = v13 & p24(v9) = v14 & p22(v9) = v15 & p20(v9) = v16 & p18(v9) = v17 & p16(v9) = v18 & p14(v9) = v19 & p12(v9) = v20 & p10(v9) = v21 & p8(v9) = v22 & p6(v9) = v23 & p4(v9) = v24 & p2(v9) = v25 & (v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0)))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Applying alpha-rule on (66) yields:
% 212.31/168.62 | (67) r1(all_23_0_12, all_27_0_14) = 0
% 212.31/168.62 | (68) ? [v0] : (r1(all_27_0_14, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : (r1(v7, v8) = 0 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (r1(v8, v9) = 0 & p32(v9) = v10 & p30(v9) = v11 & p28(v9) = v12 & p26(v9) = v13 & p24(v9) = v14 & p22(v9) = v15 & p20(v9) = v16 & p18(v9) = v17 & p16(v9) = v18 & p14(v9) = v19 & p12(v9) = v20 & p10(v9) = v21 & p8(v9) = v22 & p6(v9) = v23 & p4(v9) = v24 & p2(v9) = v25 & (v25 = 0 | v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0)))))))))))
% 212.31/168.62 |
% 212.31/168.62 | Instantiating (65) with all_29_0_15 yields:
% 212.31/168.62 | (69) r1(all_25_0_13, all_29_0_15) = 0 & ? [v0] : (r1(all_29_0_15, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (p3(v8) = v22 & p5(v8) = v20 & p7(v8) = v18 & p9(v8) = v16 & p11(v8) = v14 & p13(v8) = v12 & p1(v8) = v24 & p15(v8) = v10 & r1(v7, v8) = 0 & p16(v8) = v9 & p14(v8) = v11 & p12(v8) = v13 & p10(v8) = v15 & p8(v8) = v17 & p6(v8) = v19 & p4(v8) = v21 & p2(v8) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0)))))))))))
% 212.31/168.63 |
% 212.31/168.63 | Applying alpha-rule on (69) yields:
% 212.31/168.63 | (70) r1(all_25_0_13, all_29_0_15) = 0
% 212.31/168.63 | (71) ? [v0] : (r1(all_29_0_15, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (p3(v8) = v22 & p5(v8) = v20 & p7(v8) = v18 & p9(v8) = v16 & p11(v8) = v14 & p13(v8) = v12 & p1(v8) = v24 & p15(v8) = v10 & r1(v7, v8) = 0 & p16(v8) = v9 & p14(v8) = v11 & p12(v8) = v13 & p10(v8) = v15 & p8(v8) = v17 & p6(v8) = v19 & p4(v8) = v21 & p2(v8) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0)))))))))))
% 212.31/168.63 |
% 212.31/168.63 | Instantiating (68) with all_31_0_16 yields:
% 212.31/168.63 | (72) r1(all_27_0_14, all_31_0_16) = 0 & ? [v0] : (r1(all_31_0_16, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (r1(v7, v8) = 0 & p32(v8) = v9 & p30(v8) = v10 & p28(v8) = v11 & p26(v8) = v12 & p24(v8) = v13 & p22(v8) = v14 & p20(v8) = v15 & p18(v8) = v16 & p16(v8) = v17 & p14(v8) = v18 & p12(v8) = v19 & p10(v8) = v20 & p8(v8) = v21 & p6(v8) = v22 & p4(v8) = v23 & p2(v8) = v24 & (v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))))))))))
% 212.31/168.63 |
% 212.31/168.63 | Applying alpha-rule on (72) yields:
% 212.31/168.63 | (73) r1(all_27_0_14, all_31_0_16) = 0
% 212.31/168.63 | (74) ? [v0] : (r1(all_31_0_16, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : (r1(v6, v7) = 0 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (r1(v7, v8) = 0 & p32(v8) = v9 & p30(v8) = v10 & p28(v8) = v11 & p26(v8) = v12 & p24(v8) = v13 & p22(v8) = v14 & p20(v8) = v15 & p18(v8) = v16 & p16(v8) = v17 & p14(v8) = v18 & p12(v8) = v19 & p10(v8) = v20 & p8(v8) = v21 & p6(v8) = v22 & p4(v8) = v23 & p2(v8) = v24 & (v24 = 0 | v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))))))))))
% 212.31/168.63 |
% 212.31/168.63 | Instantiating (71) with all_33_0_17 yields:
% 212.31/168.63 | (75) r1(all_29_0_15, all_33_0_17) = 0 & ? [v0] : (r1(all_33_0_17, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (p3(v7) = v21 & p5(v7) = v19 & p7(v7) = v17 & p9(v7) = v15 & p11(v7) = v13 & p13(v7) = v11 & p1(v7) = v23 & p15(v7) = v9 & r1(v6, v7) = 0 & p16(v7) = v8 & p14(v7) = v10 & p12(v7) = v12 & p10(v7) = v14 & p8(v7) = v16 & p6(v7) = v18 & p4(v7) = v20 & p2(v7) = v22 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))))))))
% 212.31/168.63 |
% 212.31/168.63 | Applying alpha-rule on (75) yields:
% 212.31/168.63 | (76) r1(all_29_0_15, all_33_0_17) = 0
% 212.31/168.63 | (77) ? [v0] : (r1(all_33_0_17, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (p3(v7) = v21 & p5(v7) = v19 & p7(v7) = v17 & p9(v7) = v15 & p11(v7) = v13 & p13(v7) = v11 & p1(v7) = v23 & p15(v7) = v9 & r1(v6, v7) = 0 & p16(v7) = v8 & p14(v7) = v10 & p12(v7) = v12 & p10(v7) = v14 & p8(v7) = v16 & p6(v7) = v18 & p4(v7) = v20 & p2(v7) = v22 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))))))))
% 212.31/168.63 |
% 212.31/168.63 | Instantiating (74) with all_35_0_18 yields:
% 212.31/168.63 | (78) r1(all_31_0_16, all_35_0_18) = 0 & ? [v0] : (r1(all_35_0_18, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (r1(v6, v7) = 0 & p32(v7) = v8 & p30(v7) = v9 & p28(v7) = v10 & p26(v7) = v11 & p24(v7) = v12 & p22(v7) = v13 & p20(v7) = v14 & p18(v7) = v15 & p16(v7) = v16 & p14(v7) = v17 & p12(v7) = v18 & p10(v7) = v19 & p8(v7) = v20 & p6(v7) = v21 & p4(v7) = v22 & p2(v7) = v23 & (v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0)))))))))
% 212.31/168.63 |
% 212.31/168.63 | Applying alpha-rule on (78) yields:
% 212.31/168.63 | (79) r1(all_31_0_16, all_35_0_18) = 0
% 212.31/168.63 | (80) ? [v0] : (r1(all_35_0_18, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : (r1(v5, v6) = 0 & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (r1(v6, v7) = 0 & p32(v7) = v8 & p30(v7) = v9 & p28(v7) = v10 & p26(v7) = v11 & p24(v7) = v12 & p22(v7) = v13 & p20(v7) = v14 & p18(v7) = v15 & p16(v7) = v16 & p14(v7) = v17 & p12(v7) = v18 & p10(v7) = v19 & p8(v7) = v20 & p6(v7) = v21 & p4(v7) = v22 & p2(v7) = v23 & (v23 = 0 | v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0)))))))))
% 212.31/168.63 |
% 212.31/168.63 | Instantiating (77) with all_37_0_19 yields:
% 212.31/168.63 | (81) r1(all_33_0_17, all_37_0_19) = 0 & ? [v0] : (r1(all_37_0_19, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (p3(v6) = v20 & p5(v6) = v18 & p7(v6) = v16 & p9(v6) = v14 & p11(v6) = v12 & p13(v6) = v10 & p1(v6) = v22 & p15(v6) = v8 & r1(v5, v6) = 0 & p16(v6) = v7 & p14(v6) = v9 & p12(v6) = v11 & p10(v6) = v13 & p8(v6) = v15 & p6(v6) = v17 & p4(v6) = v19 & p2(v6) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))))))))
% 212.31/168.63 |
% 212.31/168.63 | Applying alpha-rule on (81) yields:
% 212.31/168.63 | (82) r1(all_33_0_17, all_37_0_19) = 0
% 212.31/168.63 | (83) ? [v0] : (r1(all_37_0_19, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (p3(v6) = v20 & p5(v6) = v18 & p7(v6) = v16 & p9(v6) = v14 & p11(v6) = v12 & p13(v6) = v10 & p1(v6) = v22 & p15(v6) = v8 & r1(v5, v6) = 0 & p16(v6) = v7 & p14(v6) = v9 & p12(v6) = v11 & p10(v6) = v13 & p8(v6) = v15 & p6(v6) = v17 & p4(v6) = v19 & p2(v6) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))))))))
% 212.31/168.64 |
% 212.31/168.64 | Instantiating (80) with all_39_0_20 yields:
% 212.31/168.64 | (84) r1(all_35_0_18, all_39_0_20) = 0 & ? [v0] : (r1(all_39_0_20, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (r1(v5, v6) = 0 & p32(v6) = v7 & p30(v6) = v8 & p28(v6) = v9 & p26(v6) = v10 & p24(v6) = v11 & p22(v6) = v12 & p20(v6) = v13 & p18(v6) = v14 & p16(v6) = v15 & p14(v6) = v16 & p12(v6) = v17 & p10(v6) = v18 & p8(v6) = v19 & p6(v6) = v20 & p4(v6) = v21 & p2(v6) = v22 & (v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))))))))
% 212.31/168.64 |
% 212.31/168.64 | Applying alpha-rule on (84) yields:
% 212.31/168.64 | (85) r1(all_35_0_18, all_39_0_20) = 0
% 212.31/168.64 | (86) ? [v0] : (r1(all_39_0_20, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : (r1(v4, v5) = 0 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (r1(v5, v6) = 0 & p32(v6) = v7 & p30(v6) = v8 & p28(v6) = v9 & p26(v6) = v10 & p24(v6) = v11 & p22(v6) = v12 & p20(v6) = v13 & p18(v6) = v14 & p16(v6) = v15 & p14(v6) = v16 & p12(v6) = v17 & p10(v6) = v18 & p8(v6) = v19 & p6(v6) = v20 & p4(v6) = v21 & p2(v6) = v22 & (v22 = 0 | v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))))))))
% 212.31/168.64 |
% 212.31/168.64 | Instantiating (83) with all_41_0_21 yields:
% 212.31/168.64 | (87) r1(all_37_0_19, all_41_0_21) = 0 & ? [v0] : (r1(all_41_0_21, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (p3(v5) = v19 & p5(v5) = v17 & p7(v5) = v15 & p9(v5) = v13 & p11(v5) = v11 & p13(v5) = v9 & p1(v5) = v21 & p15(v5) = v7 & r1(v4, v5) = 0 & p16(v5) = v6 & p14(v5) = v8 & p12(v5) = v10 & p10(v5) = v12 & p8(v5) = v14 & p6(v5) = v16 & p4(v5) = v18 & p2(v5) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))))))
% 212.31/168.64 |
% 212.31/168.64 | Applying alpha-rule on (87) yields:
% 212.31/168.64 | (88) r1(all_37_0_19, all_41_0_21) = 0
% 212.31/168.64 | (89) ? [v0] : (r1(all_41_0_21, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (p3(v5) = v19 & p5(v5) = v17 & p7(v5) = v15 & p9(v5) = v13 & p11(v5) = v11 & p13(v5) = v9 & p1(v5) = v21 & p15(v5) = v7 & r1(v4, v5) = 0 & p16(v5) = v6 & p14(v5) = v8 & p12(v5) = v10 & p10(v5) = v12 & p8(v5) = v14 & p6(v5) = v16 & p4(v5) = v18 & p2(v5) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))))))
% 212.31/168.64 |
% 212.31/168.64 | Instantiating (86) with all_43_0_22 yields:
% 212.31/168.64 | (90) r1(all_39_0_20, all_43_0_22) = 0 & ? [v0] : (r1(all_43_0_22, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (r1(v4, v5) = 0 & p32(v5) = v6 & p30(v5) = v7 & p28(v5) = v8 & p26(v5) = v9 & p24(v5) = v10 & p22(v5) = v11 & p20(v5) = v12 & p18(v5) = v13 & p16(v5) = v14 & p14(v5) = v15 & p12(v5) = v16 & p10(v5) = v17 & p8(v5) = v18 & p6(v5) = v19 & p4(v5) = v20 & p2(v5) = v21 & (v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0)))))))
% 212.31/168.64 |
% 212.31/168.64 | Applying alpha-rule on (90) yields:
% 212.31/168.64 | (91) r1(all_39_0_20, all_43_0_22) = 0
% 212.31/168.64 | (92) ? [v0] : (r1(all_43_0_22, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : (r1(v3, v4) = 0 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (r1(v4, v5) = 0 & p32(v5) = v6 & p30(v5) = v7 & p28(v5) = v8 & p26(v5) = v9 & p24(v5) = v10 & p22(v5) = v11 & p20(v5) = v12 & p18(v5) = v13 & p16(v5) = v14 & p14(v5) = v15 & p12(v5) = v16 & p10(v5) = v17 & p8(v5) = v18 & p6(v5) = v19 & p4(v5) = v20 & p2(v5) = v21 & (v21 = 0 | v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0)))))))
% 212.31/168.64 |
% 212.31/168.64 | Instantiating (89) with all_45_0_23 yields:
% 212.31/168.64 | (93) r1(all_41_0_21, all_45_0_23) = 0 & ? [v0] : (r1(all_45_0_23, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (p3(v4) = v18 & p5(v4) = v16 & p7(v4) = v14 & p9(v4) = v12 & p11(v4) = v10 & p13(v4) = v8 & p1(v4) = v20 & p15(v4) = v6 & r1(v3, v4) = 0 & p16(v4) = v5 & p14(v4) = v7 & p12(v4) = v9 & p10(v4) = v11 & p8(v4) = v13 & p6(v4) = v15 & p4(v4) = v17 & p2(v4) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))))))
% 212.31/168.64 |
% 212.31/168.64 | Applying alpha-rule on (93) yields:
% 212.31/168.64 | (94) r1(all_41_0_21, all_45_0_23) = 0
% 212.31/168.64 | (95) ? [v0] : (r1(all_45_0_23, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (p3(v4) = v18 & p5(v4) = v16 & p7(v4) = v14 & p9(v4) = v12 & p11(v4) = v10 & p13(v4) = v8 & p1(v4) = v20 & p15(v4) = v6 & r1(v3, v4) = 0 & p16(v4) = v5 & p14(v4) = v7 & p12(v4) = v9 & p10(v4) = v11 & p8(v4) = v13 & p6(v4) = v15 & p4(v4) = v17 & p2(v4) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))))))
% 212.31/168.64 |
% 212.31/168.64 | Instantiating (92) with all_47_0_24 yields:
% 212.31/168.64 | (96) r1(all_43_0_22, all_47_0_24) = 0 & ? [v0] : (r1(all_47_0_24, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (r1(v3, v4) = 0 & p32(v4) = v5 & p30(v4) = v6 & p28(v4) = v7 & p26(v4) = v8 & p24(v4) = v9 & p22(v4) = v10 & p20(v4) = v11 & p18(v4) = v12 & p16(v4) = v13 & p14(v4) = v14 & p12(v4) = v15 & p10(v4) = v16 & p8(v4) = v17 & p6(v4) = v18 & p4(v4) = v19 & p2(v4) = v20 & (v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0))))))
% 212.31/168.65 |
% 212.31/168.65 | Applying alpha-rule on (96) yields:
% 212.31/168.65 | (97) r1(all_43_0_22, all_47_0_24) = 0
% 212.31/168.65 | (98) ? [v0] : (r1(all_47_0_24, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : (r1(v2, v3) = 0 & ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (r1(v3, v4) = 0 & p32(v4) = v5 & p30(v4) = v6 & p28(v4) = v7 & p26(v4) = v8 & p24(v4) = v9 & p22(v4) = v10 & p20(v4) = v11 & p18(v4) = v12 & p16(v4) = v13 & p14(v4) = v14 & p12(v4) = v15 & p10(v4) = v16 & p8(v4) = v17 & p6(v4) = v18 & p4(v4) = v19 & p2(v4) = v20 & (v20 = 0 | v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0))))))
% 212.31/168.65 |
% 212.31/168.65 | Instantiating (95) with all_49_0_25 yields:
% 212.31/168.65 | (99) r1(all_45_0_23, all_49_0_25) = 0 & ? [v0] : (r1(all_49_0_25, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (p3(v3) = v17 & p5(v3) = v15 & p7(v3) = v13 & p9(v3) = v11 & p11(v3) = v9 & p13(v3) = v7 & p1(v3) = v19 & p15(v3) = v5 & r1(v2, v3) = 0 & p16(v3) = v4 & p14(v3) = v6 & p12(v3) = v8 & p10(v3) = v10 & p8(v3) = v12 & p6(v3) = v14 & p4(v3) = v16 & p2(v3) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))))
% 212.31/168.65 |
% 212.31/168.65 | Applying alpha-rule on (99) yields:
% 212.31/168.65 | (100) r1(all_45_0_23, all_49_0_25) = 0
% 212.31/168.65 | (101) ? [v0] : (r1(all_49_0_25, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (p3(v3) = v17 & p5(v3) = v15 & p7(v3) = v13 & p9(v3) = v11 & p11(v3) = v9 & p13(v3) = v7 & p1(v3) = v19 & p15(v3) = v5 & r1(v2, v3) = 0 & p16(v3) = v4 & p14(v3) = v6 & p12(v3) = v8 & p10(v3) = v10 & p8(v3) = v12 & p6(v3) = v14 & p4(v3) = v16 & p2(v3) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))))
% 212.31/168.65 |
% 212.31/168.65 | Instantiating (98) with all_51_0_26 yields:
% 212.31/168.65 | (102) r1(all_47_0_24, all_51_0_26) = 0 & ? [v0] : (r1(all_51_0_26, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (r1(v2, v3) = 0 & p32(v3) = v4 & p30(v3) = v5 & p28(v3) = v6 & p26(v3) = v7 & p24(v3) = v8 & p22(v3) = v9 & p20(v3) = v10 & p18(v3) = v11 & p16(v3) = v12 & p14(v3) = v13 & p12(v3) = v14 & p10(v3) = v15 & p8(v3) = v16 & p6(v3) = v17 & p4(v3) = v18 & p2(v3) = v19 & (v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))))
% 212.31/168.65 |
% 212.31/168.65 | Applying alpha-rule on (102) yields:
% 212.31/168.65 | (103) r1(all_47_0_24, all_51_0_26) = 0
% 212.31/168.65 | (104) ? [v0] : (r1(all_51_0_26, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : (r1(v1, v2) = 0 & ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (r1(v2, v3) = 0 & p32(v3) = v4 & p30(v3) = v5 & p28(v3) = v6 & p26(v3) = v7 & p24(v3) = v8 & p22(v3) = v9 & p20(v3) = v10 & p18(v3) = v11 & p16(v3) = v12 & p14(v3) = v13 & p12(v3) = v14 & p10(v3) = v15 & p8(v3) = v16 & p6(v3) = v17 & p4(v3) = v18 & p2(v3) = v19 & (v19 = 0 | v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))))
% 212.31/168.65 |
% 212.31/168.65 | Instantiating (101) with all_53_0_27 yields:
% 212.31/168.65 | (105) r1(all_49_0_25, all_53_0_27) = 0 & ? [v0] : (r1(all_53_0_27, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (p3(v2) = v16 & p5(v2) = v14 & p7(v2) = v12 & p9(v2) = v10 & p11(v2) = v8 & p13(v2) = v6 & p1(v2) = v18 & p15(v2) = v4 & r1(v1, v2) = 0 & p16(v2) = v3 & p14(v2) = v5 & p12(v2) = v7 & p10(v2) = v9 & p8(v2) = v11 & p6(v2) = v13 & p4(v2) = v15 & p2(v2) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))))
% 212.31/168.65 |
% 212.31/168.65 | Applying alpha-rule on (105) yields:
% 212.31/168.65 | (106) r1(all_49_0_25, all_53_0_27) = 0
% 212.31/168.65 | (107) ? [v0] : (r1(all_53_0_27, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (p3(v2) = v16 & p5(v2) = v14 & p7(v2) = v12 & p9(v2) = v10 & p11(v2) = v8 & p13(v2) = v6 & p1(v2) = v18 & p15(v2) = v4 & r1(v1, v2) = 0 & p16(v2) = v3 & p14(v2) = v5 & p12(v2) = v7 & p10(v2) = v9 & p8(v2) = v11 & p6(v2) = v13 & p4(v2) = v15 & p2(v2) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))))
% 212.31/168.65 |
% 212.31/168.65 | Instantiating (104) with all_55_0_28 yields:
% 212.31/168.65 | (108) r1(all_51_0_26, all_55_0_28) = 0 & ? [v0] : (r1(all_55_0_28, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (r1(v1, v2) = 0 & p32(v2) = v3 & p30(v2) = v4 & p28(v2) = v5 & p26(v2) = v6 & p24(v2) = v7 & p22(v2) = v8 & p20(v2) = v9 & p18(v2) = v10 & p16(v2) = v11 & p14(v2) = v12 & p12(v2) = v13 & p10(v2) = v14 & p8(v2) = v15 & p6(v2) = v16 & p4(v2) = v17 & p2(v2) = v18 & (v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0 | v3 = 0))))
% 212.31/168.66 |
% 212.31/168.66 | Applying alpha-rule on (108) yields:
% 212.31/168.66 | (109) r1(all_51_0_26, all_55_0_28) = 0
% 212.31/168.66 | (110) ? [v0] : (r1(all_55_0_28, v0) = 0 & ? [v1] : (r1(v0, v1) = 0 & ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (r1(v1, v2) = 0 & p32(v2) = v3 & p30(v2) = v4 & p28(v2) = v5 & p26(v2) = v6 & p24(v2) = v7 & p22(v2) = v8 & p20(v2) = v9 & p18(v2) = v10 & p16(v2) = v11 & p14(v2) = v12 & p12(v2) = v13 & p10(v2) = v14 & p8(v2) = v15 & p6(v2) = v16 & p4(v2) = v17 & p2(v2) = v18 & (v18 = 0 | v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0 | v3 = 0))))
% 212.31/168.66 |
% 212.31/168.66 | Instantiating (107) with all_57_0_29 yields:
% 212.31/168.66 | (111) r1(all_53_0_27, all_57_0_29) = 0 & ? [v0] : (r1(all_57_0_29, v0) = 0 & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (p3(v1) = v15 & p5(v1) = v13 & p7(v1) = v11 & p9(v1) = v9 & p11(v1) = v7 & p13(v1) = v5 & p1(v1) = v17 & p15(v1) = v3 & r1(v0, v1) = 0 & p16(v1) = v2 & p14(v1) = v4 & p12(v1) = v6 & p10(v1) = v8 & p8(v1) = v10 & p6(v1) = v12 & p4(v1) = v14 & p2(v1) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0))))
% 212.31/168.66 |
% 212.31/168.66 | Applying alpha-rule on (111) yields:
% 212.31/168.66 | (112) r1(all_53_0_27, all_57_0_29) = 0
% 212.31/168.66 | (113) ? [v0] : (r1(all_57_0_29, v0) = 0 & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (p3(v1) = v15 & p5(v1) = v13 & p7(v1) = v11 & p9(v1) = v9 & p11(v1) = v7 & p13(v1) = v5 & p1(v1) = v17 & p15(v1) = v3 & r1(v0, v1) = 0 & p16(v1) = v2 & p14(v1) = v4 & p12(v1) = v6 & p10(v1) = v8 & p8(v1) = v10 & p6(v1) = v12 & p4(v1) = v14 & p2(v1) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0))))
% 212.31/168.66 |
% 212.31/168.66 | Instantiating (110) with all_59_0_30 yields:
% 212.31/168.66 | (114) r1(all_55_0_28, all_59_0_30) = 0 & ? [v0] : (r1(all_59_0_30, v0) = 0 & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (r1(v0, v1) = 0 & p32(v1) = v2 & p30(v1) = v3 & p28(v1) = v4 & p26(v1) = v5 & p24(v1) = v6 & p22(v1) = v7 & p20(v1) = v8 & p18(v1) = v9 & p16(v1) = v10 & p14(v1) = v11 & p12(v1) = v12 & p10(v1) = v13 & p8(v1) = v14 & p6(v1) = v15 & p4(v1) = v16 & p2(v1) = v17 & (v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0 | v3 = 0 | v2 = 0)))
% 212.31/168.66 |
% 212.31/168.66 | Applying alpha-rule on (114) yields:
% 212.31/168.66 | (115) r1(all_55_0_28, all_59_0_30) = 0
% 212.31/168.66 | (116) ? [v0] : (r1(all_59_0_30, v0) = 0 & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (r1(v0, v1) = 0 & p32(v1) = v2 & p30(v1) = v3 & p28(v1) = v4 & p26(v1) = v5 & p24(v1) = v6 & p22(v1) = v7 & p20(v1) = v8 & p18(v1) = v9 & p16(v1) = v10 & p14(v1) = v11 & p12(v1) = v12 & p10(v1) = v13 & p8(v1) = v14 & p6(v1) = v15 & p4(v1) = v16 & p2(v1) = v17 & (v17 = 0 | v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0 | v3 = 0 | v2 = 0)))
% 212.31/168.66 |
% 212.31/168.66 | Instantiating (113) with all_61_0_31 yields:
% 212.31/168.66 | (117) r1(all_57_0_29, all_61_0_31) = 0 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (p3(v0) = v14 & p5(v0) = v12 & p7(v0) = v10 & p9(v0) = v8 & p11(v0) = v6 & p13(v0) = v4 & p1(v0) = v16 & p15(v0) = v2 & r1(all_61_0_31, v0) = 0 & p16(v0) = v1 & p14(v0) = v3 & p12(v0) = v5 & p10(v0) = v7 & p8(v0) = v9 & p6(v0) = v11 & p4(v0) = v13 & p2(v0) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0)))
% 212.31/168.66 |
% 212.31/168.66 | Applying alpha-rule on (117) yields:
% 212.31/168.66 | (118) r1(all_57_0_29, all_61_0_31) = 0
% 212.31/168.66 | (119) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (p3(v0) = v14 & p5(v0) = v12 & p7(v0) = v10 & p9(v0) = v8 & p11(v0) = v6 & p13(v0) = v4 & p1(v0) = v16 & p15(v0) = v2 & r1(all_61_0_31, v0) = 0 & p16(v0) = v1 & p14(v0) = v3 & p12(v0) = v5 & p10(v0) = v7 & p8(v0) = v9 & p6(v0) = v11 & p4(v0) = v13 & p2(v0) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0)))
% 212.31/168.66 |
% 212.31/168.66 | Instantiating (116) with all_63_0_32 yields:
% 212.31/168.66 | (120) r1(all_59_0_30, all_63_0_32) = 0 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (r1(all_63_0_32, v0) = 0 & p32(v0) = v1 & p30(v0) = v2 & p28(v0) = v3 & p26(v0) = v4 & p24(v0) = v5 & p22(v0) = v6 & p20(v0) = v7 & p18(v0) = v8 & p16(v0) = v9 & p14(v0) = v10 & p12(v0) = v11 & p10(v0) = v12 & p8(v0) = v13 & p6(v0) = v14 & p4(v0) = v15 & p2(v0) = v16 & (v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0 | v3 = 0 | v2 = 0 | v1 = 0))
% 212.31/168.66 |
% 212.31/168.66 | Applying alpha-rule on (120) yields:
% 212.31/168.66 | (121) r1(all_59_0_30, all_63_0_32) = 0
% 212.31/168.66 | (122) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (r1(all_63_0_32, v0) = 0 & p32(v0) = v1 & p30(v0) = v2 & p28(v0) = v3 & p26(v0) = v4 & p24(v0) = v5 & p22(v0) = v6 & p20(v0) = v7 & p18(v0) = v8 & p16(v0) = v9 & p14(v0) = v10 & p12(v0) = v11 & p10(v0) = v12 & p8(v0) = v13 & p6(v0) = v14 & p4(v0) = v15 & p2(v0) = v16 & (v16 = 0 | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0 | v3 = 0 | v2 = 0 | v1 = 0))
% 212.31/168.66 |
% 212.31/168.66 | Instantiating (119) with all_65_0_33, all_65_1_34, all_65_2_35, all_65_3_36, all_65_4_37, all_65_5_38, all_65_6_39, all_65_7_40, all_65_8_41, all_65_9_42, all_65_10_43, all_65_11_44, all_65_12_45, all_65_13_46, all_65_14_47, all_65_15_48, all_65_16_49 yields:
% 212.31/168.66 | (123) p3(all_65_16_49) = all_65_2_35 & p5(all_65_16_49) = all_65_4_37 & p7(all_65_16_49) = all_65_6_39 & p9(all_65_16_49) = all_65_8_41 & p11(all_65_16_49) = all_65_10_43 & p13(all_65_16_49) = all_65_12_45 & p1(all_65_16_49) = all_65_0_33 & p15(all_65_16_49) = all_65_14_47 & r1(all_61_0_31, all_65_16_49) = 0 & p16(all_65_16_49) = all_65_15_48 & p14(all_65_16_49) = all_65_13_46 & p12(all_65_16_49) = all_65_11_44 & p10(all_65_16_49) = all_65_9_42 & p8(all_65_16_49) = all_65_7_40 & p6(all_65_16_49) = all_65_5_38 & p4(all_65_16_49) = all_65_3_36 & p2(all_65_16_49) = all_65_1_34 & ( ~ (all_65_0_33 = 0) | ~ (all_65_1_34 = 0) | ~ (all_65_2_35 = 0) | ~ (all_65_3_36 = 0) | ~ (all_65_4_37 = 0) | ~ (all_65_5_38 = 0) | ~ (all_65_6_39 = 0) | ~ (all_65_7_40 = 0) | ~ (all_65_8_41 = 0) | ~ (all_65_9_42 = 0) | ~ (all_65_10_43 = 0) | ~ (all_65_11_44 = 0) | ~ (all_65_12_45 = 0) | ~ (all_65_13_46 = 0) | ~ (all_65_14_47 = 0) | ~ (all_65_15_48 = 0))
% 212.31/168.66 |
% 212.31/168.66 | Applying alpha-rule on (123) yields:
% 212.31/168.66 | (124) p2(all_65_16_49) = all_65_1_34
% 212.31/168.66 | (125) ~ (all_65_0_33 = 0) | ~ (all_65_1_34 = 0) | ~ (all_65_2_35 = 0) | ~ (all_65_3_36 = 0) | ~ (all_65_4_37 = 0) | ~ (all_65_5_38 = 0) | ~ (all_65_6_39 = 0) | ~ (all_65_7_40 = 0) | ~ (all_65_8_41 = 0) | ~ (all_65_9_42 = 0) | ~ (all_65_10_43 = 0) | ~ (all_65_11_44 = 0) | ~ (all_65_12_45 = 0) | ~ (all_65_13_46 = 0) | ~ (all_65_14_47 = 0) | ~ (all_65_15_48 = 0)
% 212.31/168.66 | (126) p9(all_65_16_49) = all_65_8_41
% 212.31/168.66 | (127) p13(all_65_16_49) = all_65_12_45
% 212.31/168.66 | (128) p6(all_65_16_49) = all_65_5_38
% 212.31/168.66 | (129) p3(all_65_16_49) = all_65_2_35
% 212.31/168.66 | (130) p11(all_65_16_49) = all_65_10_43
% 212.31/168.66 | (131) p7(all_65_16_49) = all_65_6_39
% 212.31/168.66 | (132) p15(all_65_16_49) = all_65_14_47
% 212.31/168.66 | (133) p12(all_65_16_49) = all_65_11_44
% 212.31/168.66 | (134) p10(all_65_16_49) = all_65_9_42
% 212.31/168.66 | (135) p14(all_65_16_49) = all_65_13_46
% 212.31/168.66 | (136) p4(all_65_16_49) = all_65_3_36
% 212.31/168.66 | (137) p8(all_65_16_49) = all_65_7_40
% 212.31/168.66 | (138) p5(all_65_16_49) = all_65_4_37
% 212.31/168.66 | (139) p1(all_65_16_49) = all_65_0_33
% 212.31/168.66 | (140) r1(all_61_0_31, all_65_16_49) = 0
% 212.31/168.66 | (141) p16(all_65_16_49) = all_65_15_48
% 212.31/168.66 |
% 212.31/168.67 | Instantiating formula (29) with all_5_0_2 and discharging atoms r1(all_1_0_0, all_5_0_2) = 0, yields:
% 212.31/168.67 | (142) ! [v0] : ( ~ (r1(all_5_0_2, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p1(v14) = v15) | ? [v16] : ? [v17] : (p15(v14) = v17 & r1(v13, v14) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))))))) & ! [v0] : ( ~ (r1(all_5_0_2, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p15(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p14(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p13(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p14(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p13(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p12(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p11(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p12(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p11(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p10(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p9(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p10(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p9(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p8(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p7(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p8(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p7(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p6(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p5(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p6(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p5(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p4(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p3(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p4(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ( ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p3(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p2(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))) & ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p1(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p2(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))) & ? [v13] : ? [v14] : ( ~ (v14 = 0) & p3(v13) = v14 & r1(v12, v13) = 0))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & r1(v11, v12) = 0 & p4(v12) = v13))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p5(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p6(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p7(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p8(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p9(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p10(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p11(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p12(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p13(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p14(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p15(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_5_0_2, v0) = 0 & p16(v0) = v1)
% 212.31/168.67 |
% 212.31/168.67 | Applying alpha-rule on (142) yields:
% 212.31/168.67 | (143) ! [v0] : ( ~ (r1(all_5_0_2, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p1(v14) = v15) | ? [v16] : ? [v17] : (p15(v14) = v17 & r1(v13, v14) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))))))
% 212.31/168.67 | (144) ! [v0] : ( ~ (r1(all_5_0_2, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p15(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p14(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p13(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p14(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p13(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p12(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p11(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p12(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p11(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p10(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p9(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p10(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p9(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p8(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p7(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p8(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p7(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p6(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p5(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p6(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p5(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p4(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p3(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p4(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ( ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p3(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p2(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))) & ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p1(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p2(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))) & ? [v13] : ? [v14] : ( ~ (v14 = 0) & p3(v13) = v14 & r1(v12, v13) = 0))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & r1(v11, v12) = 0 & p4(v12) = v13))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p5(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p6(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p7(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p8(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p9(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p10(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p11(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p12(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p13(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p14(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p15(v1) = v2 & r1(v0, v1) = 0)))
% 212.31/168.68 | (145) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_5_0_2, v0) = 0 & p16(v0) = v1)
% 212.31/168.68 |
% 212.31/168.68 | Instantiating formula (29) with all_3_0_1 and discharging atoms r1(all_1_0_0, all_3_0_1) = 0, yields:
% 212.31/168.68 | (146) ! [v0] : ( ~ (r1(all_3_0_1, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p1(v14) = v15) | ? [v16] : ? [v17] : (p15(v14) = v17 & r1(v13, v14) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))))))) & ! [v0] : ( ~ (r1(all_3_0_1, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p15(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p14(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p13(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p14(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p13(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p12(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p11(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p12(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p11(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p10(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p9(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p10(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p9(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p8(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p7(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p8(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p7(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p6(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p5(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p6(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p5(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p4(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p3(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p4(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ( ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p3(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p2(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))) & ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p1(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p2(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))) & ? [v13] : ? [v14] : ( ~ (v14 = 0) & p3(v13) = v14 & r1(v12, v13) = 0))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & r1(v11, v12) = 0 & p4(v12) = v13))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p5(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p6(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p7(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p8(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p9(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p10(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p11(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p12(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p13(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p14(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p15(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_3_0_1, v0) = 0 & p16(v0) = v1)
% 212.31/168.69 |
% 212.31/168.69 | Applying alpha-rule on (146) yields:
% 212.31/168.69 | (147) ! [v0] : ( ~ (r1(all_3_0_1, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p1(v14) = v15) | ? [v16] : ? [v17] : (p15(v14) = v17 & r1(v13, v14) = v16 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))))))
% 212.31/168.69 | (148) ! [v0] : ( ~ (r1(all_3_0_1, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p15(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p14(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p13(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p14(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p13(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p12(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p11(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p12(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p11(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p10(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p9(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p10(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p9(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p8(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p7(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p8(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p7(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p6(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p5(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p6(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p5(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p4(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p3(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p4(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0))))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ( ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p3(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p2(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))) & ! [v13] : ( ~ (r1(v12, v13) = 0) | ! [v14] : ! [v15] : ( ~ (p1(v14) = v15) | ? [v16] : ? [v17] : (r1(v13, v14) = v16 & p2(v14) = v17 & ( ~ (v16 = 0) | (( ~ (v17 = 0) | ~ (v15 = 0)) & (v17 = 0 | v15 = 0)))))) & ? [v13] : ? [v14] : ( ~ (v14 = 0) & p3(v13) = v14 & r1(v12, v13) = 0))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & r1(v11, v12) = 0 & p4(v12) = v13))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p5(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p6(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p7(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p8(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p9(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p10(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p11(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p12(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p13(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p14(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p15(v1) = v2 & r1(v0, v1) = 0)))
% 212.67/168.70 | (149) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_3_0_1, v0) = 0 & p16(v0) = v1)
% 212.67/168.70 |
% 212.67/168.70 | Instantiating formula (147) with all_9_0_5 and discharging atoms r1(all_3_0_1, all_9_0_5) = 0, yields:
% 212.67/168.70 | (150) ! [v0] : ( ~ (r1(all_9_0_5, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p1(v13) = v14) | ? [v15] : ? [v16] : (p15(v13) = v16 & r1(v12, v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))))))
% 212.67/168.70 |
% 212.67/168.70 | Instantiating formula (148) with all_9_0_5 and discharging atoms r1(all_3_0_1, all_9_0_5) = 0, yields:
% 212.67/168.70 | (151) ! [v0] : ( ~ (r1(all_9_0_5, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p15(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p14(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))))))) & ! [v0] : ( ~ (r1(all_9_0_5, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p13(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p14(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p13(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p12(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p11(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p12(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p11(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p10(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p9(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p10(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p9(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p8(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p7(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p8(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p7(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p6(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p5(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p6(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p5(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p4(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p3(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p4(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p3(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p2(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p1(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p2(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & p3(v12) = v13 & r1(v11, v12) = 0))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & r1(v10, v11) = 0 & p4(v11) = v12))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p5(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p6(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p7(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p8(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p9(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p10(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p11(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p12(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p13(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p14(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p15(v0) = v1 & r1(all_9_0_5, v0) = 0)
% 212.67/168.71 |
% 212.67/168.71 | Applying alpha-rule on (151) yields:
% 212.67/168.71 | (152) ! [v0] : ( ~ (r1(all_9_0_5, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p15(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p14(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))))))
% 212.67/168.71 | (153) ! [v0] : ( ~ (r1(all_9_0_5, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p13(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p14(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p13(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p12(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p11(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p12(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p11(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p10(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p9(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p10(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p9(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p8(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p7(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p8(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p7(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p6(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p5(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p6(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p5(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p4(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p3(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p4(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p3(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p2(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p1(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p2(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & p3(v12) = v13 & r1(v11, v12) = 0))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & r1(v10, v11) = 0 & p4(v11) = v12))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p5(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p6(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p7(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p8(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p9(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p10(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p11(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p12(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p13(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p14(v1) = v2)))
% 212.67/168.72 | (154) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p15(v0) = v1 & r1(all_9_0_5, v0) = 0)
% 212.67/168.72 |
% 212.67/168.72 | Instantiating formula (143) with all_11_0_6 and discharging atoms r1(all_5_0_2, all_11_0_6) = 0, yields:
% 212.67/168.72 | (155) ! [v0] : ( ~ (r1(all_11_0_6, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p1(v13) = v14) | ? [v15] : ? [v16] : (p15(v13) = v16 & r1(v12, v13) = v15 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))))))
% 212.67/168.72 |
% 212.67/168.72 | Instantiating formula (144) with all_11_0_6 and discharging atoms r1(all_5_0_2, all_11_0_6) = 0, yields:
% 212.67/168.72 | (156) ! [v0] : ( ~ (r1(all_11_0_6, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p15(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p14(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))))))) & ! [v0] : ( ~ (r1(all_11_0_6, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p13(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p14(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p13(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p12(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p11(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p12(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p11(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p10(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p9(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p10(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p9(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p8(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p7(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p8(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p7(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p6(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p5(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p6(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p5(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p4(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p3(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p4(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p3(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p2(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p1(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p2(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & p3(v12) = v13 & r1(v11, v12) = 0))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & r1(v10, v11) = 0 & p4(v11) = v12))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p5(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p6(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p7(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p8(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p9(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p10(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p11(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p12(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p13(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p14(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p15(v0) = v1 & r1(all_11_0_6, v0) = 0)
% 212.67/168.73 |
% 212.67/168.73 | Applying alpha-rule on (156) yields:
% 212.67/168.73 | (157) ! [v0] : ( ~ (r1(all_11_0_6, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p15(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p14(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))))))
% 212.67/168.73 | (158) ! [v0] : ( ~ (r1(all_11_0_6, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p13(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p14(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p13(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p12(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p11(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p12(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p11(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p10(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p9(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p10(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p9(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p8(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p7(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p8(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p7(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p6(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p5(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p6(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p5(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p4(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p3(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p4(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0))))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ( ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p3(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p2(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))) & ! [v12] : ( ~ (r1(v11, v12) = 0) | ! [v13] : ! [v14] : ( ~ (p1(v13) = v14) | ? [v15] : ? [v16] : (r1(v12, v13) = v15 & p2(v13) = v16 & ( ~ (v15 = 0) | (( ~ (v16 = 0) | ~ (v14 = 0)) & (v16 = 0 | v14 = 0)))))) & ? [v12] : ? [v13] : ( ~ (v13 = 0) & p3(v12) = v13 & r1(v11, v12) = 0))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & r1(v10, v11) = 0 & p4(v11) = v12))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p5(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p6(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p7(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p8(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p9(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p10(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p11(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p12(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p13(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p14(v1) = v2)))
% 212.67/168.73 | (159) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p15(v0) = v1 & r1(all_11_0_6, v0) = 0)
% 212.67/168.73 |
% 212.67/168.73 | Instantiating formula (152) with all_13_0_7 and discharging atoms r1(all_9_0_5, all_13_0_7) = 0, yields:
% 212.67/168.73 | (160) ! [v0] : ( ~ (r1(all_13_0_7, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p15(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p14(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))))
% 212.67/168.73 |
% 212.67/168.73 | Instantiating formula (153) with all_13_0_7 and discharging atoms r1(all_9_0_5, all_13_0_7) = 0, yields:
% 212.67/168.73 | (161) ! [v0] : ( ~ (r1(all_13_0_7, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p13(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p14(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))))))) & ! [v0] : ( ~ (r1(all_13_0_7, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p13(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p12(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p11(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p12(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p11(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p10(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p9(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p10(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p9(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p8(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p7(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p8(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p7(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p6(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p5(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p6(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p5(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p4(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p3(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p4(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p3(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p2(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p1(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p2(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p3(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p4(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p5(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p6(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p7(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p8(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p9(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p10(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p11(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p12(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p13(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_13_0_7, v0) = 0 & p14(v0) = v1)
% 212.67/168.74 |
% 212.67/168.74 | Applying alpha-rule on (161) yields:
% 212.67/168.74 | (162) ! [v0] : ( ~ (r1(all_13_0_7, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p13(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p14(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))))
% 212.67/168.74 | (163) ! [v0] : ( ~ (r1(all_13_0_7, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p13(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p12(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p11(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p12(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p11(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p10(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p9(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p10(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p9(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p8(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p7(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p8(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p7(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p6(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p5(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p6(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p5(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p4(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p3(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p4(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p3(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p2(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p1(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p2(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p3(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p4(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p5(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p6(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p7(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p8(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p9(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p10(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p11(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p12(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p13(v1) = v2 & r1(v0, v1) = 0)))
% 212.67/168.75 | (164) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_13_0_7, v0) = 0 & p14(v0) = v1)
% 212.67/168.75 |
% 212.67/168.75 | Instantiating formula (150) with all_13_0_7 and discharging atoms r1(all_9_0_5, all_13_0_7) = 0, yields:
% 212.67/168.75 | (165) ! [v0] : ( ~ (r1(all_13_0_7, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p1(v12) = v13) | ? [v14] : ? [v15] : (p15(v12) = v15 & r1(v11, v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))))
% 212.67/168.75 |
% 212.67/168.75 | Instantiating formula (157) with all_15_0_8 and discharging atoms r1(all_11_0_6, all_15_0_8) = 0, yields:
% 212.67/168.75 | (166) ! [v0] : ( ~ (r1(all_15_0_8, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p15(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p14(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))))
% 212.67/168.75 |
% 212.67/168.75 | Instantiating formula (158) with all_15_0_8 and discharging atoms r1(all_11_0_6, all_15_0_8) = 0, yields:
% 212.67/168.75 | (167) ! [v0] : ( ~ (r1(all_15_0_8, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p13(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p14(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))))))) & ! [v0] : ( ~ (r1(all_15_0_8, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p13(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p12(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p11(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p12(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p11(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p10(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p9(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p10(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p9(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p8(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p7(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p8(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p7(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p6(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p5(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p6(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p5(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p4(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p3(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p4(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p3(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p2(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p1(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p2(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p3(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p4(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p5(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p6(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p7(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p8(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p9(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p10(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p11(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p12(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p13(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_15_0_8, v0) = 0 & p14(v0) = v1)
% 212.67/168.76 |
% 212.67/168.76 | Applying alpha-rule on (167) yields:
% 212.67/168.76 | (168) ! [v0] : ( ~ (r1(all_15_0_8, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p13(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p14(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))))
% 212.67/168.76 | (169) ! [v0] : ( ~ (r1(all_15_0_8, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p13(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p12(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p11(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p12(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p11(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p10(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p9(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p10(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p9(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p8(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p7(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p8(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p7(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p6(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p5(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p6(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p5(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p4(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p3(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p4(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0))))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ( ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p3(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p2(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))) & ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p1(v12) = v13) | ? [v14] : ? [v15] : (r1(v11, v12) = v14 & p2(v12) = v15 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))) & ? [v11] : ? [v12] : ( ~ (v12 = 0) & p3(v11) = v12 & r1(v10, v11) = 0))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & r1(v9, v10) = 0 & p4(v10) = v11))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p5(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p6(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p7(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p8(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p9(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p10(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p11(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p12(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p13(v1) = v2 & r1(v0, v1) = 0)))
% 212.67/168.76 | (170) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_15_0_8, v0) = 0 & p14(v0) = v1)
% 212.67/168.76 |
% 212.67/168.76 | Instantiating formula (155) with all_15_0_8 and discharging atoms r1(all_11_0_6, all_15_0_8) = 0, yields:
% 212.67/168.76 | (171) ! [v0] : ( ~ (r1(all_15_0_8, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ( ~ (r1(v10, v11) = 0) | ! [v12] : ! [v13] : ( ~ (p1(v12) = v13) | ? [v14] : ? [v15] : (p15(v12) = v15 & r1(v11, v12) = v14 & ( ~ (v14 = 0) | (( ~ (v15 = 0) | ~ (v13 = 0)) & (v15 = 0 | v13 = 0)))))))))))))))))
% 212.67/168.76 |
% 212.67/168.76 | Instantiating formula (162) with all_17_0_9 and discharging atoms r1(all_13_0_7, all_17_0_9) = 0, yields:
% 212.67/168.76 | (172) ! [v0] : ( ~ (r1(all_17_0_9, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p13(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p14(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))))
% 212.67/168.77 |
% 212.67/168.77 | Instantiating formula (163) with all_17_0_9 and discharging atoms r1(all_13_0_7, all_17_0_9) = 0, yields:
% 212.67/168.77 | (173) ! [v0] : ( ~ (r1(all_17_0_9, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p13(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p12(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))))))) & ! [v0] : ( ~ (r1(all_17_0_9, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p11(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p12(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p11(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p10(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p9(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p10(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p9(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p8(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p7(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p8(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p7(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p6(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p5(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p6(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p5(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p4(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p3(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p4(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p3(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p2(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p1(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p2(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p3(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p4(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p5(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p6(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p7(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p8(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p9(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p10(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p11(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p12(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p13(v0) = v1 & r1(all_17_0_9, v0) = 0)
% 212.67/168.77 |
% 212.67/168.77 | Applying alpha-rule on (173) yields:
% 212.67/168.77 | (174) ! [v0] : ( ~ (r1(all_17_0_9, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p13(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p12(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))))
% 212.67/168.77 | (175) ! [v0] : ( ~ (r1(all_17_0_9, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p11(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p12(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p11(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p10(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p9(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p10(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p9(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p8(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p7(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p8(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p7(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p6(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p5(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p6(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p5(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p4(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p3(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p4(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p3(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p2(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p1(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p2(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p3(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p4(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p5(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p6(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p7(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p8(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p9(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p10(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p11(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p12(v1) = v2)))
% 212.67/168.78 | (176) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p13(v0) = v1 & r1(all_17_0_9, v0) = 0)
% 212.67/168.78 |
% 212.67/168.78 | Instantiating formula (160) with all_17_0_9 and discharging atoms r1(all_13_0_7, all_17_0_9) = 0, yields:
% 212.67/168.78 | (177) ! [v0] : ( ~ (r1(all_17_0_9, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p15(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p14(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))))
% 212.67/168.78 |
% 212.67/168.78 | Instantiating formula (165) with all_17_0_9 and discharging atoms r1(all_13_0_7, all_17_0_9) = 0, yields:
% 212.67/168.78 | (178) ! [v0] : ( ~ (r1(all_17_0_9, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p1(v11) = v12) | ? [v13] : ? [v14] : (p15(v11) = v14 & r1(v10, v11) = v13 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))))
% 212.67/168.78 |
% 212.67/168.78 | Instantiating formula (168) with all_19_0_10 and discharging atoms r1(all_15_0_8, all_19_0_10) = 0, yields:
% 212.67/168.78 | (179) ! [v0] : ( ~ (r1(all_19_0_10, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p13(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p14(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))))
% 212.67/168.78 |
% 212.67/168.78 | Instantiating formula (169) with all_19_0_10 and discharging atoms r1(all_15_0_8, all_19_0_10) = 0, yields:
% 212.67/168.78 | (180) ! [v0] : ( ~ (r1(all_19_0_10, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p13(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p12(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))))))) & ! [v0] : ( ~ (r1(all_19_0_10, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p11(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p12(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p11(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p10(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p9(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p10(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p9(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p8(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p7(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p8(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p7(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p6(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p5(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p6(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p5(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p4(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p3(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p4(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p3(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p2(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p1(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p2(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p3(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p4(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p5(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p6(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p7(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p8(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p9(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p10(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p11(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p12(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p13(v0) = v1 & r1(all_19_0_10, v0) = 0)
% 213.05/168.79 |
% 213.05/168.79 | Applying alpha-rule on (180) yields:
% 213.05/168.79 | (181) ! [v0] : ( ~ (r1(all_19_0_10, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p13(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p12(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))))
% 213.05/168.79 | (182) ! [v0] : ( ~ (r1(all_19_0_10, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p11(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p12(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p11(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p10(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p9(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p10(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p9(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p8(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p7(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p8(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p7(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p6(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p5(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p6(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p5(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p4(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p3(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p4(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ( ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p3(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p2(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))) & ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p1(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p2(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0)))))) & ? [v10] : ? [v11] : ( ~ (v11 = 0) & p3(v10) = v11 & r1(v9, v10) = 0))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & r1(v8, v9) = 0 & p4(v9) = v10))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p5(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p6(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p7(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p8(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p9(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p10(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p11(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p12(v1) = v2)))
% 213.05/168.79 | (183) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p13(v0) = v1 & r1(all_19_0_10, v0) = 0)
% 213.05/168.79 |
% 213.05/168.79 | Instantiating formula (166) with all_19_0_10 and discharging atoms r1(all_15_0_8, all_19_0_10) = 0, yields:
% 213.05/168.79 | (184) ! [v0] : ( ~ (r1(all_19_0_10, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p15(v11) = v12) | ? [v13] : ? [v14] : (r1(v10, v11) = v13 & p14(v11) = v14 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))))
% 213.05/168.80 |
% 213.05/168.80 | Instantiating formula (171) with all_19_0_10 and discharging atoms r1(all_15_0_8, all_19_0_10) = 0, yields:
% 213.05/168.80 | (185) ! [v0] : ( ~ (r1(all_19_0_10, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ( ~ (r1(v9, v10) = 0) | ! [v11] : ! [v12] : ( ~ (p1(v11) = v12) | ? [v13] : ? [v14] : (p15(v11) = v14 & r1(v10, v11) = v13 & ( ~ (v13 = 0) | (( ~ (v14 = 0) | ~ (v12 = 0)) & (v14 = 0 | v12 = 0))))))))))))))))
% 213.05/168.80 |
% 213.05/168.80 | Instantiating formula (174) with all_21_0_11 and discharging atoms r1(all_17_0_9, all_21_0_11) = 0, yields:
% 213.05/168.80 | (186) ! [v0] : ( ~ (r1(all_21_0_11, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p13(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p12(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.80 |
% 213.05/168.80 | Instantiating formula (175) with all_21_0_11 and discharging atoms r1(all_17_0_9, all_21_0_11) = 0, yields:
% 213.05/168.80 | (187) ! [v0] : ( ~ (r1(all_21_0_11, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p11(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p12(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))))))) & ! [v0] : ( ~ (r1(all_21_0_11, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p11(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p10(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p9(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p10(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p9(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p8(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p7(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p8(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p7(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p6(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p5(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p6(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p5(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p4(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p3(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p4(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p3(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p2(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p1(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p2(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p3(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p4(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p5(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p6(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p7(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p8(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p9(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p10(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p11(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_21_0_11, v0) = 0 & p12(v0) = v1)
% 213.05/168.80 |
% 213.05/168.80 | Applying alpha-rule on (187) yields:
% 213.05/168.80 | (188) ! [v0] : ( ~ (r1(all_21_0_11, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p11(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p12(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.81 | (189) ! [v0] : ( ~ (r1(all_21_0_11, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p11(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p10(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p9(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p10(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p9(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p8(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p7(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p8(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p7(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p6(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p5(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p6(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p5(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p4(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p3(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p4(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p3(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p2(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p1(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p2(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p3(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p4(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p5(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p6(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p7(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p8(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p9(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p10(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p11(v1) = v2 & r1(v0, v1) = 0)))
% 213.05/168.81 | (190) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_21_0_11, v0) = 0 & p12(v0) = v1)
% 213.05/168.81 |
% 213.05/168.81 | Instantiating formula (172) with all_21_0_11 and discharging atoms r1(all_17_0_9, all_21_0_11) = 0, yields:
% 213.05/168.81 | (191) ! [v0] : ( ~ (r1(all_21_0_11, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p13(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p14(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.81 |
% 213.05/168.81 | Instantiating formula (177) with all_21_0_11 and discharging atoms r1(all_17_0_9, all_21_0_11) = 0, yields:
% 213.05/168.81 | (192) ! [v0] : ( ~ (r1(all_21_0_11, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p15(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p14(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.81 |
% 213.05/168.81 | Instantiating formula (178) with all_21_0_11 and discharging atoms r1(all_17_0_9, all_21_0_11) = 0, yields:
% 213.05/168.81 | (193) ! [v0] : ( ~ (r1(all_21_0_11, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p1(v10) = v11) | ? [v12] : ? [v13] : (p15(v10) = v13 & r1(v9, v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.81 |
% 213.05/168.81 | Instantiating formula (181) with all_23_0_12 and discharging atoms r1(all_19_0_10, all_23_0_12) = 0, yields:
% 213.05/168.81 | (194) ! [v0] : ( ~ (r1(all_23_0_12, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p13(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p12(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.81 |
% 213.05/168.81 | Instantiating formula (182) with all_23_0_12 and discharging atoms r1(all_19_0_10, all_23_0_12) = 0, yields:
% 213.05/168.81 | (195) ! [v0] : ( ~ (r1(all_23_0_12, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p11(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p12(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))))))) & ! [v0] : ( ~ (r1(all_23_0_12, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p11(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p10(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p9(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p10(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p9(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p8(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p7(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p8(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p7(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p6(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p5(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p6(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p5(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p4(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p3(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p4(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p3(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p2(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p1(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p2(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p3(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p4(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p5(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p6(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p7(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p8(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p9(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p10(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p11(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_23_0_12, v0) = 0 & p12(v0) = v1)
% 213.05/168.82 |
% 213.05/168.82 | Applying alpha-rule on (195) yields:
% 213.05/168.82 | (196) ! [v0] : ( ~ (r1(all_23_0_12, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p11(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p12(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.82 | (197) ! [v0] : ( ~ (r1(all_23_0_12, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p11(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p10(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p9(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p10(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p9(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p8(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p7(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p8(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p7(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p6(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p5(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p6(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p5(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p4(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p3(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p4(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0))))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ( ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p3(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p2(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))) & ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p1(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p2(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))) & ? [v9] : ? [v10] : ( ~ (v10 = 0) & p3(v9) = v10 & r1(v8, v9) = 0))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & r1(v7, v8) = 0 & p4(v8) = v9))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p5(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p6(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p7(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p8(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p9(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p10(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p11(v1) = v2 & r1(v0, v1) = 0)))
% 213.05/168.83 | (198) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_23_0_12, v0) = 0 & p12(v0) = v1)
% 213.05/168.83 |
% 213.05/168.83 | Instantiating formula (179) with all_23_0_12 and discharging atoms r1(all_19_0_10, all_23_0_12) = 0, yields:
% 213.05/168.83 | (199) ! [v0] : ( ~ (r1(all_23_0_12, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p13(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p14(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.83 |
% 213.05/168.83 | Instantiating formula (184) with all_23_0_12 and discharging atoms r1(all_19_0_10, all_23_0_12) = 0, yields:
% 213.05/168.83 | (200) ! [v0] : ( ~ (r1(all_23_0_12, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p15(v10) = v11) | ? [v12] : ? [v13] : (r1(v9, v10) = v12 & p14(v10) = v13 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.83 |
% 213.05/168.83 | Instantiating formula (185) with all_23_0_12 and discharging atoms r1(all_19_0_10, all_23_0_12) = 0, yields:
% 213.05/168.83 | (201) ! [v0] : ( ~ (r1(all_23_0_12, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ( ~ (r1(v8, v9) = 0) | ! [v10] : ! [v11] : ( ~ (p1(v10) = v11) | ? [v12] : ? [v13] : (p15(v10) = v13 & r1(v9, v10) = v12 & ( ~ (v12 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0)) & (v13 = 0 | v11 = 0)))))))))))))))
% 213.05/168.83 |
% 213.05/168.83 | Instantiating formula (188) with all_25_0_13 and discharging atoms r1(all_21_0_11, all_25_0_13) = 0, yields:
% 213.05/168.83 | (202) ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p11(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p12(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.83 |
% 213.05/168.83 | Instantiating formula (189) with all_25_0_13 and discharging atoms r1(all_21_0_11, all_25_0_13) = 0, yields:
% 213.05/168.83 | (203) ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p11(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p10(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))))))) & ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p9(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p10(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p9(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p8(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p7(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p8(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p7(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p6(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p5(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p6(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p5(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p4(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p3(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p4(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p3(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p2(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p1(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p2(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p3(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p4(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p5(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p6(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p7(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p8(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p9(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p10(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p11(v0) = v1 & r1(all_25_0_13, v0) = 0)
% 213.05/168.84 |
% 213.05/168.84 | Applying alpha-rule on (203) yields:
% 213.05/168.84 | (204) ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p11(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p10(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.84 | (205) ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p9(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p10(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p9(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p8(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p7(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p8(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p7(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p6(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p5(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p6(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p5(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p4(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p3(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p4(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p3(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p2(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p1(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p2(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p3(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p4(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p5(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p6(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p7(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p8(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p9(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p10(v1) = v2)))
% 213.05/168.84 | (206) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p11(v0) = v1 & r1(all_25_0_13, v0) = 0)
% 213.05/168.84 |
% 213.05/168.84 | Instantiating formula (186) with all_25_0_13 and discharging atoms r1(all_21_0_11, all_25_0_13) = 0, yields:
% 213.05/168.84 | (207) ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p13(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p12(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.84 |
% 213.05/168.84 | Instantiating formula (191) with all_25_0_13 and discharging atoms r1(all_21_0_11, all_25_0_13) = 0, yields:
% 213.05/168.84 | (208) ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p13(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p14(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.84 |
% 213.05/168.84 | Instantiating formula (192) with all_25_0_13 and discharging atoms r1(all_21_0_11, all_25_0_13) = 0, yields:
% 213.05/168.84 | (209) ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p15(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p14(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.84 |
% 213.05/168.84 | Instantiating formula (193) with all_25_0_13 and discharging atoms r1(all_21_0_11, all_25_0_13) = 0, yields:
% 213.05/168.84 | (210) ! [v0] : ( ~ (r1(all_25_0_13, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p1(v9) = v10) | ? [v11] : ? [v12] : (p15(v9) = v12 & r1(v8, v9) = v11 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.85 |
% 213.05/168.85 | Instantiating formula (196) with all_27_0_14 and discharging atoms r1(all_23_0_12, all_27_0_14) = 0, yields:
% 213.05/168.85 | (211) ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p11(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p12(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.85 |
% 213.05/168.85 | Instantiating formula (197) with all_27_0_14 and discharging atoms r1(all_23_0_12, all_27_0_14) = 0, yields:
% 213.05/168.85 | (212) ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p11(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p10(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))))))) & ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p9(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p10(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p9(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p8(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p7(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p8(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p7(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p6(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p5(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p6(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p5(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p4(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p3(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p4(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p3(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p2(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p1(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p2(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p3(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p4(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p5(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p6(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p7(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p8(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p9(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p10(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p11(v0) = v1 & r1(all_27_0_14, v0) = 0)
% 213.05/168.85 |
% 213.05/168.85 | Applying alpha-rule on (212) yields:
% 213.05/168.85 | (213) ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p11(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p10(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.85 | (214) ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p9(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p10(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p9(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p8(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p7(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p8(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p7(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p6(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p5(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p6(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p5(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p4(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p3(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p4(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ( ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p3(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p2(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))) & ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p1(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p2(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0)))))) & ? [v8] : ? [v9] : ( ~ (v9 = 0) & p3(v8) = v9 & r1(v7, v8) = 0))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & r1(v6, v7) = 0 & p4(v7) = v8))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p5(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p6(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p7(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p8(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p9(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p10(v1) = v2)))
% 213.05/168.86 | (215) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p11(v0) = v1 & r1(all_27_0_14, v0) = 0)
% 213.05/168.86 |
% 213.05/168.86 | Instantiating formula (194) with all_27_0_14 and discharging atoms r1(all_23_0_12, all_27_0_14) = 0, yields:
% 213.05/168.86 | (216) ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p13(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p12(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.86 |
% 213.05/168.86 | Instantiating formula (199) with all_27_0_14 and discharging atoms r1(all_23_0_12, all_27_0_14) = 0, yields:
% 213.05/168.86 | (217) ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p13(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p14(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.86 |
% 213.05/168.86 | Instantiating formula (200) with all_27_0_14 and discharging atoms r1(all_23_0_12, all_27_0_14) = 0, yields:
% 213.05/168.86 | (218) ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p15(v9) = v10) | ? [v11] : ? [v12] : (r1(v8, v9) = v11 & p14(v9) = v12 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.86 |
% 213.05/168.86 | Instantiating formula (201) with all_27_0_14 and discharging atoms r1(all_23_0_12, all_27_0_14) = 0, yields:
% 213.05/168.86 | (219) ! [v0] : ( ~ (r1(all_27_0_14, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ( ~ (r1(v7, v8) = 0) | ! [v9] : ! [v10] : ( ~ (p1(v9) = v10) | ? [v11] : ? [v12] : (p15(v9) = v12 & r1(v8, v9) = v11 & ( ~ (v11 = 0) | (( ~ (v12 = 0) | ~ (v10 = 0)) & (v12 = 0 | v10 = 0))))))))))))))
% 213.05/168.86 |
% 213.05/168.86 | Instantiating formula (204) with all_29_0_15 and discharging atoms r1(all_25_0_13, all_29_0_15) = 0, yields:
% 213.05/168.86 | (220) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p11(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p10(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.86 |
% 213.05/168.86 | Instantiating formula (205) with all_29_0_15 and discharging atoms r1(all_25_0_13, all_29_0_15) = 0, yields:
% 213.05/168.86 | (221) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p9(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p10(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))))))) & ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p9(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p8(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p7(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p8(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p7(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p6(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p5(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p6(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p5(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p4(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p3(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p4(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p3(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p2(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p1(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p2(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p3(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p4(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p5(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p6(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p7(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p8(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p9(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_29_0_15, v0) = 0 & p10(v0) = v1)
% 213.05/168.87 |
% 213.05/168.87 | Applying alpha-rule on (221) yields:
% 213.05/168.87 | (222) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p9(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p10(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.87 | (223) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p9(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p8(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p7(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p8(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p7(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p6(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p5(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p6(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p5(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p4(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p3(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p4(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p3(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p2(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p1(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p2(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p3(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p4(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p5(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p6(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p7(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p8(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p9(v1) = v2 & r1(v0, v1) = 0)))
% 213.05/168.87 | (224) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_29_0_15, v0) = 0 & p10(v0) = v1)
% 213.05/168.87 |
% 213.05/168.87 | Instantiating formula (202) with all_29_0_15 and discharging atoms r1(all_25_0_13, all_29_0_15) = 0, yields:
% 213.05/168.87 | (225) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p11(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p12(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.87 |
% 213.05/168.87 | Instantiating formula (207) with all_29_0_15 and discharging atoms r1(all_25_0_13, all_29_0_15) = 0, yields:
% 213.05/168.87 | (226) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p13(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p12(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.87 |
% 213.05/168.87 | Instantiating formula (208) with all_29_0_15 and discharging atoms r1(all_25_0_13, all_29_0_15) = 0, yields:
% 213.05/168.87 | (227) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p13(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p14(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.87 |
% 213.05/168.87 | Instantiating formula (209) with all_29_0_15 and discharging atoms r1(all_25_0_13, all_29_0_15) = 0, yields:
% 213.05/168.87 | (228) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p15(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p14(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.87 |
% 213.05/168.87 | Instantiating formula (210) with all_29_0_15 and discharging atoms r1(all_25_0_13, all_29_0_15) = 0, yields:
% 213.05/168.87 | (229) ! [v0] : ( ~ (r1(all_29_0_15, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p1(v8) = v9) | ? [v10] : ? [v11] : (p15(v8) = v11 & r1(v7, v8) = v10 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.87 |
% 213.05/168.87 | Instantiating formula (213) with all_31_0_16 and discharging atoms r1(all_27_0_14, all_31_0_16) = 0, yields:
% 213.05/168.87 | (230) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p11(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p10(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.87 |
% 213.05/168.87 | Instantiating formula (214) with all_31_0_16 and discharging atoms r1(all_27_0_14, all_31_0_16) = 0, yields:
% 213.05/168.87 | (231) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p9(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p10(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))))))) & ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p9(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p8(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p7(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p8(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p7(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p6(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p5(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p6(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p5(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p4(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p3(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p4(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p3(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p2(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p1(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p2(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p3(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p4(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p5(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p6(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p7(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p8(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p9(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_31_0_16, v0) = 0 & p10(v0) = v1)
% 213.05/168.88 |
% 213.05/168.88 | Applying alpha-rule on (231) yields:
% 213.05/168.88 | (232) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p9(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p10(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.05/168.88 | (233) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p9(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p8(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p7(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p8(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p7(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p6(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p5(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p6(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p5(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p4(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p3(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p4(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0))))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ( ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p3(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p2(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))) & ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p1(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p2(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))) & ? [v7] : ? [v8] : ( ~ (v8 = 0) & p3(v7) = v8 & r1(v6, v7) = 0))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & r1(v5, v6) = 0 & p4(v6) = v7))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p5(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p6(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p7(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p8(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p9(v1) = v2 & r1(v0, v1) = 0)))
% 213.46/168.88 | (234) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_31_0_16, v0) = 0 & p10(v0) = v1)
% 213.46/168.88 |
% 213.46/168.88 | Instantiating formula (211) with all_31_0_16 and discharging atoms r1(all_27_0_14, all_31_0_16) = 0, yields:
% 213.46/168.88 | (235) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p11(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p12(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.46/168.88 |
% 213.46/168.88 | Instantiating formula (216) with all_31_0_16 and discharging atoms r1(all_27_0_14, all_31_0_16) = 0, yields:
% 213.46/168.88 | (236) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p13(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p12(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.46/168.88 |
% 213.46/168.88 | Instantiating formula (217) with all_31_0_16 and discharging atoms r1(all_27_0_14, all_31_0_16) = 0, yields:
% 213.46/168.88 | (237) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p13(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p14(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.46/168.89 |
% 213.46/168.89 | Instantiating formula (218) with all_31_0_16 and discharging atoms r1(all_27_0_14, all_31_0_16) = 0, yields:
% 213.46/168.89 | (238) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p15(v8) = v9) | ? [v10] : ? [v11] : (r1(v7, v8) = v10 & p14(v8) = v11 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.46/168.89 |
% 213.46/168.89 | Instantiating formula (219) with all_31_0_16 and discharging atoms r1(all_27_0_14, all_31_0_16) = 0, yields:
% 213.46/168.89 | (239) ! [v0] : ( ~ (r1(all_31_0_16, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ( ~ (r1(v6, v7) = 0) | ! [v8] : ! [v9] : ( ~ (p1(v8) = v9) | ? [v10] : ? [v11] : (p15(v8) = v11 & r1(v7, v8) = v10 & ( ~ (v10 = 0) | (( ~ (v11 = 0) | ~ (v9 = 0)) & (v11 = 0 | v9 = 0)))))))))))))
% 213.46/168.89 |
% 213.46/168.89 | Instantiating formula (222) with all_33_0_17 and discharging atoms r1(all_29_0_15, all_33_0_17) = 0, yields:
% 213.46/168.89 | (240) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p9(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p10(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.89 |
% 213.46/168.89 | Instantiating formula (223) with all_33_0_17 and discharging atoms r1(all_29_0_15, all_33_0_17) = 0, yields:
% 213.46/168.89 | (241) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p9(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p8(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))))))) & ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p7(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p8(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p7(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p6(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p5(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p6(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p5(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p4(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p3(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p4(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p3(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p2(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p1(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p2(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p3(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p4(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p5(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p6(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p7(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p8(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p9(v0) = v1 & r1(all_33_0_17, v0) = 0)
% 213.46/168.89 |
% 213.46/168.89 | Applying alpha-rule on (241) yields:
% 213.46/168.89 | (242) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p9(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p8(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.89 | (243) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p7(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p8(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p7(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p6(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p5(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p6(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p5(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p4(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p3(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p4(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p3(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p2(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p1(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p2(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p3(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p4(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p5(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p6(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p7(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p8(v1) = v2)))
% 213.46/168.89 | (244) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p9(v0) = v1 & r1(all_33_0_17, v0) = 0)
% 213.46/168.89 |
% 213.46/168.89 | Instantiating formula (220) with all_33_0_17 and discharging atoms r1(all_29_0_15, all_33_0_17) = 0, yields:
% 213.46/168.89 | (245) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p11(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p10(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.90 |
% 213.46/168.90 | Instantiating formula (225) with all_33_0_17 and discharging atoms r1(all_29_0_15, all_33_0_17) = 0, yields:
% 213.46/168.90 | (246) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p11(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p12(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.90 |
% 213.46/168.90 | Instantiating formula (226) with all_33_0_17 and discharging atoms r1(all_29_0_15, all_33_0_17) = 0, yields:
% 213.46/168.90 | (247) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p13(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p12(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.90 |
% 213.46/168.90 | Instantiating formula (227) with all_33_0_17 and discharging atoms r1(all_29_0_15, all_33_0_17) = 0, yields:
% 213.46/168.90 | (248) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p13(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p14(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.90 |
% 213.46/168.90 | Instantiating formula (228) with all_33_0_17 and discharging atoms r1(all_29_0_15, all_33_0_17) = 0, yields:
% 213.46/168.90 | (249) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p15(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p14(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.90 |
% 213.46/168.90 | Instantiating formula (229) with all_33_0_17 and discharging atoms r1(all_29_0_15, all_33_0_17) = 0, yields:
% 213.46/168.90 | (250) ! [v0] : ( ~ (r1(all_33_0_17, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p1(v7) = v8) | ? [v9] : ? [v10] : (p15(v7) = v10 & r1(v6, v7) = v9 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.90 |
% 213.46/168.90 | Instantiating formula (232) with all_35_0_18 and discharging atoms r1(all_31_0_16, all_35_0_18) = 0, yields:
% 213.46/168.90 | (251) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p9(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p10(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.90 |
% 213.46/168.90 | Instantiating formula (233) with all_35_0_18 and discharging atoms r1(all_31_0_16, all_35_0_18) = 0, yields:
% 213.46/168.90 | (252) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p9(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p8(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))))))) & ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p7(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p8(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p7(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p6(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p5(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p6(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p5(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p4(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p3(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p4(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p3(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p2(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p1(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p2(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p3(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p4(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p5(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p6(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p7(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p8(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p9(v0) = v1 & r1(all_35_0_18, v0) = 0)
% 213.46/168.90 |
% 213.46/168.90 | Applying alpha-rule on (252) yields:
% 213.46/168.90 | (253) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p9(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p8(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.90 | (254) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p7(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p8(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p7(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p6(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p5(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p6(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p5(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p4(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p3(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p4(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ( ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p3(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p2(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))) & ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p1(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p2(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))) & ? [v6] : ? [v7] : ( ~ (v7 = 0) & p3(v6) = v7 & r1(v5, v6) = 0))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & r1(v4, v5) = 0 & p4(v5) = v6))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p5(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p6(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p7(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p8(v1) = v2)))
% 213.46/168.91 | (255) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p9(v0) = v1 & r1(all_35_0_18, v0) = 0)
% 213.46/168.91 |
% 213.46/168.91 | Instantiating formula (230) with all_35_0_18 and discharging atoms r1(all_31_0_16, all_35_0_18) = 0, yields:
% 213.46/168.91 | (256) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p11(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p10(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.91 |
% 213.46/168.91 | Instantiating formula (235) with all_35_0_18 and discharging atoms r1(all_31_0_16, all_35_0_18) = 0, yields:
% 213.46/168.91 | (257) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p11(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p12(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.91 |
% 213.46/168.91 | Instantiating formula (236) with all_35_0_18 and discharging atoms r1(all_31_0_16, all_35_0_18) = 0, yields:
% 213.46/168.91 | (258) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p13(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p12(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.91 |
% 213.46/168.91 | Instantiating formula (237) with all_35_0_18 and discharging atoms r1(all_31_0_16, all_35_0_18) = 0, yields:
% 213.46/168.91 | (259) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p13(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p14(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.91 |
% 213.46/168.91 | Instantiating formula (238) with all_35_0_18 and discharging atoms r1(all_31_0_16, all_35_0_18) = 0, yields:
% 213.46/168.91 | (260) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p15(v7) = v8) | ? [v9] : ? [v10] : (r1(v6, v7) = v9 & p14(v7) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.91 |
% 213.46/168.91 | Instantiating formula (239) with all_35_0_18 and discharging atoms r1(all_31_0_16, all_35_0_18) = 0, yields:
% 213.46/168.91 | (261) ! [v0] : ( ~ (r1(all_35_0_18, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ( ~ (r1(v5, v6) = 0) | ! [v7] : ! [v8] : ( ~ (p1(v7) = v8) | ? [v9] : ? [v10] : (p15(v7) = v10 & r1(v6, v7) = v9 & ( ~ (v9 = 0) | (( ~ (v10 = 0) | ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))))
% 213.46/168.91 |
% 213.46/168.91 | Instantiating formula (242) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.46/168.91 | (262) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p9(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p8(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.46/168.91 |
% 213.46/168.91 | Instantiating formula (243) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.46/168.91 | (263) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p7(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p8(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))))))) & ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p7(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p6(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p5(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p6(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p5(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p4(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p3(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p4(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p3(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p2(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p1(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p2(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p3(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p4(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p5(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p6(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p7(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_37_0_19, v0) = 0 & p8(v0) = v1)
% 213.59/168.91 |
% 213.59/168.92 | Applying alpha-rule on (263) yields:
% 213.59/168.92 | (264) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p7(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p8(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 | (265) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p7(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p6(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p5(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p6(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p5(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p4(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p3(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p4(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p3(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p2(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p1(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p2(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p3(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p4(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p5(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p6(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p7(v1) = v2 & r1(v0, v1) = 0)))
% 213.59/168.92 | (266) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_37_0_19, v0) = 0 & p8(v0) = v1)
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (240) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.59/168.92 | (267) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p9(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p10(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (245) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.59/168.92 | (268) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p11(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p10(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (246) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.59/168.92 | (269) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p11(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p12(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (247) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.59/168.92 | (270) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p13(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p12(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (248) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.59/168.92 | (271) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p13(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p14(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (249) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.59/168.92 | (272) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p15(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p14(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (250) with all_37_0_19 and discharging atoms r1(all_33_0_17, all_37_0_19) = 0, yields:
% 213.59/168.92 | (273) ! [v0] : ( ~ (r1(all_37_0_19, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p1(v6) = v7) | ? [v8] : ? [v9] : (p15(v6) = v9 & r1(v5, v6) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (253) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.59/168.92 | (274) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p9(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p8(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.92 |
% 213.59/168.92 | Instantiating formula (254) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.59/168.92 | (275) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p7(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p8(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))))))) & ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p7(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p6(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p5(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p6(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p5(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p4(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p3(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p4(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p3(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p2(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p1(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p2(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p3(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p4(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p5(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p6(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p7(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_39_0_20, v0) = 0 & p8(v0) = v1)
% 213.59/168.93 |
% 213.59/168.93 | Applying alpha-rule on (275) yields:
% 213.59/168.93 | (276) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p7(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p8(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.59/168.93 | (277) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p7(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p6(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p5(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p6(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p5(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p4(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p3(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p4(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ( ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p3(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p2(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))) & ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p1(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p2(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))) & ? [v5] : ? [v6] : ( ~ (v6 = 0) & p3(v5) = v6 & r1(v4, v5) = 0))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & r1(v3, v4) = 0 & p4(v4) = v5))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p5(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p6(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p7(v1) = v2 & r1(v0, v1) = 0)))
% 213.65/168.93 | (278) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_39_0_20, v0) = 0 & p8(v0) = v1)
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (251) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.65/168.93 | (279) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p9(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p10(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (256) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.65/168.93 | (280) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p11(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p10(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (257) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.65/168.93 | (281) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p11(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p12(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (258) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.65/168.93 | (282) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p13(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p12(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (259) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.65/168.93 | (283) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p13(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p14(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (260) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.65/168.93 | (284) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p15(v6) = v7) | ? [v8] : ? [v9] : (r1(v5, v6) = v8 & p14(v6) = v9 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (261) with all_39_0_20 and discharging atoms r1(all_35_0_18, all_39_0_20) = 0, yields:
% 213.65/168.93 | (285) ! [v0] : ( ~ (r1(all_39_0_20, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ( ~ (r1(v4, v5) = 0) | ! [v6] : ! [v7] : ( ~ (p1(v6) = v7) | ? [v8] : ? [v9] : (p15(v6) = v9 & r1(v5, v6) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0)))))))))))
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (264) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.93 | (286) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p7(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p8(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.93 |
% 213.65/168.93 | Instantiating formula (265) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.93 | (287) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p7(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p6(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))))))) & ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p5(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p6(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p5(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p4(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p3(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p4(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p3(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p2(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p1(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p2(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p3(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p4(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p5(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p6(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p7(v0) = v1 & r1(all_41_0_21, v0) = 0)
% 213.65/168.94 |
% 213.65/168.94 | Applying alpha-rule on (287) yields:
% 213.65/168.94 | (288) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p7(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p6(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 | (289) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p5(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p6(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p5(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p4(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p3(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p4(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p3(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p2(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p1(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p2(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p3(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p4(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p5(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p6(v1) = v2)))
% 213.65/168.94 | (290) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p7(v0) = v1 & r1(all_41_0_21, v0) = 0)
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (262) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.94 | (291) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p9(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p8(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (267) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.94 | (292) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p9(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p10(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (268) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.94 | (293) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p11(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p10(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (269) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.94 | (294) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p11(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p12(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (270) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.94 | (295) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p13(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p12(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (271) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.94 | (296) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p13(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p14(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (272) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.94 | (297) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p15(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p14(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (273) with all_41_0_21 and discharging atoms r1(all_37_0_19, all_41_0_21) = 0, yields:
% 213.65/168.94 | (298) ! [v0] : ( ~ (r1(all_41_0_21, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p1(v5) = v6) | ? [v7] : ? [v8] : (p15(v5) = v8 & r1(v4, v5) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (276) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.94 | (299) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p7(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p8(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.94 |
% 213.65/168.94 | Instantiating formula (277) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.94 | (300) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p7(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p6(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))))))) & ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p5(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p6(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p5(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p4(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p3(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p4(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p3(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p2(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p1(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p2(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p3(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p4(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p5(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p6(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p7(v0) = v1 & r1(all_43_0_22, v0) = 0)
% 213.65/168.95 |
% 213.65/168.95 | Applying alpha-rule on (300) yields:
% 213.65/168.95 | (301) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p7(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p6(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 | (302) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p5(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p6(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p5(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p4(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p3(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p4(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ( ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p3(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p2(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))) & ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p1(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p2(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))) & ? [v4] : ? [v5] : ( ~ (v5 = 0) & p3(v4) = v5 & r1(v3, v4) = 0))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & r1(v2, v3) = 0 & p4(v3) = v4))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p5(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p6(v1) = v2)))
% 213.65/168.95 | (303) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p7(v0) = v1 & r1(all_43_0_22, v0) = 0)
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (274) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.95 | (304) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p9(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p8(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (279) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.95 | (305) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p9(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p10(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (280) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.95 | (306) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p11(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p10(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (281) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.95 | (307) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p11(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p12(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (282) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.95 | (308) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p13(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p12(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (283) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.95 | (309) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p13(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p14(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (284) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.95 | (310) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p15(v5) = v6) | ? [v7] : ? [v8] : (r1(v4, v5) = v7 & p14(v5) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (285) with all_43_0_22 and discharging atoms r1(all_39_0_20, all_43_0_22) = 0, yields:
% 213.65/168.95 | (311) ! [v0] : ( ~ (r1(all_43_0_22, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ( ~ (r1(v3, v4) = 0) | ! [v5] : ! [v6] : ( ~ (p1(v5) = v6) | ? [v7] : ? [v8] : (p15(v5) = v8 & r1(v4, v5) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (288) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.95 | (312) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p7(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p6(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.95 |
% 213.65/168.95 | Instantiating formula (289) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.95 | (313) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p5(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p6(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0))))))))) & ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p5(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p4(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p3(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p4(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p3(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p2(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p1(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p2(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p3(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p4(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p5(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_45_0_23, v0) = 0 & p6(v0) = v1)
% 213.65/168.96 |
% 213.65/168.96 | Applying alpha-rule on (313) yields:
% 213.65/168.96 | (314) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p5(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p6(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 | (315) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p5(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p4(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p3(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p4(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p3(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p2(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p1(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p2(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p3(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p4(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p5(v1) = v2 & r1(v0, v1) = 0)))
% 213.65/168.96 | (316) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_45_0_23, v0) = 0 & p6(v0) = v1)
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (286) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (317) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p7(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p8(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (291) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (318) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p9(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p8(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (292) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (319) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p9(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p10(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (293) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (320) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p11(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p10(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (294) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (321) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p11(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p12(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (295) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (322) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p13(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p12(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (296) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (323) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p13(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p14(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (297) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (324) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p15(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p14(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (298) with all_45_0_23 and discharging atoms r1(all_41_0_21, all_45_0_23) = 0, yields:
% 213.65/168.96 | (325) ! [v0] : ( ~ (r1(all_45_0_23, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p1(v4) = v5) | ? [v6] : ? [v7] : (p15(v4) = v7 & r1(v3, v4) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (301) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.96 | (326) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p7(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p6(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.96 |
% 213.65/168.96 | Instantiating formula (302) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.96 | (327) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p5(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p6(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0))))))))) & ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p5(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p4(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p3(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p4(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p3(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p2(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p1(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p2(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p3(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p4(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p5(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_47_0_24, v0) = 0 & p6(v0) = v1)
% 213.65/168.97 |
% 213.65/168.97 | Applying alpha-rule on (327) yields:
% 213.65/168.97 | (328) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p5(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p6(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 | (329) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p5(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p4(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p3(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p4(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0))))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ( ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p3(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p2(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))) & ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p1(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p2(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))) & ? [v3] : ? [v4] : ( ~ (v4 = 0) & p3(v3) = v4 & r1(v2, v3) = 0))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & r1(v1, v2) = 0 & p4(v2) = v3))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p5(v1) = v2 & r1(v0, v1) = 0)))
% 213.65/168.97 | (330) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_47_0_24, v0) = 0 & p6(v0) = v1)
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (299) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (331) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p7(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p8(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (304) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (332) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p9(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p8(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (305) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (333) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p9(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p10(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (306) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (334) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p11(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p10(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (307) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (335) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p11(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p12(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (308) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (336) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p13(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p12(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (309) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (337) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p13(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p14(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (310) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (338) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p15(v4) = v5) | ? [v6] : ? [v7] : (r1(v3, v4) = v6 & p14(v4) = v7 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (311) with all_47_0_24 and discharging atoms r1(all_43_0_22, all_47_0_24) = 0, yields:
% 213.65/168.97 | (339) ! [v0] : ( ~ (r1(all_47_0_24, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ( ~ (r1(v2, v3) = 0) | ! [v4] : ! [v5] : ( ~ (p1(v4) = v5) | ? [v6] : ? [v7] : (p15(v4) = v7 & r1(v3, v4) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | ~ (v5 = 0)) & (v7 = 0 | v5 = 0)))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (314) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.97 | (340) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p5(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p6(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.97 |
% 213.65/168.97 | Instantiating formula (315) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.97 | (341) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p5(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p4(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))))) & ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p3(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p4(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p3(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p2(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p1(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p2(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p3(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p4(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p5(v0) = v1 & r1(all_49_0_25, v0) = 0)
% 213.65/168.97 |
% 213.65/168.97 | Applying alpha-rule on (341) yields:
% 213.65/168.97 | (342) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p5(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p4(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.97 | (343) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p3(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p4(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p3(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p2(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p1(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p2(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p3(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p4(v1) = v2)))
% 213.65/168.97 | (344) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p5(v0) = v1 & r1(all_49_0_25, v0) = 0)
% 213.65/168.97 |
% 213.65/168.98 | Instantiating formula (312) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (345) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p7(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p6(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (317) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (346) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p7(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p8(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (318) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (347) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p9(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p8(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (319) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (348) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p9(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p10(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (320) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (349) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p11(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p10(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (321) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (350) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p11(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p12(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (322) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (351) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p13(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p12(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (323) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (352) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p13(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p14(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (324) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (353) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p15(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p14(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (325) with all_49_0_25 and discharging atoms r1(all_45_0_23, all_49_0_25) = 0, yields:
% 213.65/168.98 | (354) ! [v0] : ( ~ (r1(all_49_0_25, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p1(v3) = v4) | ? [v5] : ? [v6] : (p15(v3) = v6 & r1(v2, v3) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (328) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.98 | (355) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p5(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p6(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (329) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.98 | (356) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p5(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p4(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))))) & ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p3(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p4(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p3(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p2(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p1(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p2(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p3(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p4(v1) = v2))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p5(v0) = v1 & r1(all_51_0_26, v0) = 0)
% 213.65/168.98 |
% 213.65/168.98 | Applying alpha-rule on (356) yields:
% 213.65/168.98 | (357) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p5(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p4(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 | (358) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p3(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p4(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ( ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p3(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p2(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))) & ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p1(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p2(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))) & ? [v2] : ? [v3] : ( ~ (v3 = 0) & p3(v2) = v3 & r1(v1, v2) = 0))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & r1(v0, v1) = 0 & p4(v1) = v2)))
% 213.65/168.98 | (359) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p5(v0) = v1 & r1(all_51_0_26, v0) = 0)
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (326) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.98 | (360) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p7(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p6(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (331) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.98 | (361) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p7(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p8(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (332) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.98 | (362) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p9(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p8(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (333) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.98 | (363) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p9(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p10(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.98 |
% 213.65/168.98 | Instantiating formula (334) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.99 | (364) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p11(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p10(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (335) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.99 | (365) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p11(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p12(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (336) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.99 | (366) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p13(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p12(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (337) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.99 | (367) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p13(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p14(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (338) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.99 | (368) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p15(v3) = v4) | ? [v5] : ? [v6] : (r1(v2, v3) = v5 & p14(v3) = v6 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (339) with all_51_0_26 and discharging atoms r1(all_47_0_24, all_51_0_26) = 0, yields:
% 213.65/168.99 | (369) ! [v0] : ( ~ (r1(all_51_0_26, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ( ~ (r1(v1, v2) = 0) | ! [v3] : ! [v4] : ( ~ (p1(v3) = v4) | ? [v5] : ? [v6] : (p15(v3) = v6 & r1(v2, v3) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0))))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (342) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (370) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p5(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p4(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (343) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (371) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p3(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p4(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0))))))) & ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p3(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p2(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p1(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p2(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p3(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_53_0_27, v0) = 0 & p4(v0) = v1)
% 213.65/168.99 |
% 213.65/168.99 | Applying alpha-rule on (371) yields:
% 213.65/168.99 | (372) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p3(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p4(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 | (373) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p3(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p2(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p1(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p2(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p3(v1) = v2 & r1(v0, v1) = 0)))
% 213.65/168.99 | (374) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_53_0_27, v0) = 0 & p4(v0) = v1)
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (340) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (375) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p5(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p6(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (345) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (376) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p7(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p6(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (346) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (377) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p7(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p8(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (347) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (378) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p9(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p8(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (348) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (379) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p9(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p10(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (349) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (380) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p11(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p10(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (350) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (381) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p11(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p12(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (351) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (382) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p13(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p12(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (352) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (383) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p13(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p14(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (353) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (384) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p15(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p14(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (354) with all_53_0_27 and discharging atoms r1(all_49_0_25, all_53_0_27) = 0, yields:
% 213.65/168.99 | (385) ! [v0] : ( ~ (r1(all_53_0_27, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p1(v2) = v3) | ? [v4] : ? [v5] : (p15(v2) = v5 & r1(v1, v2) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/168.99 | Instantiating formula (357) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/168.99 | (386) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p5(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p4(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/168.99 |
% 213.65/169.00 | Instantiating formula (358) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (387) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p3(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p4(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0))))))) & ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p3(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p2(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p1(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p2(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p3(v1) = v2 & r1(v0, v1) = 0))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_55_0_28, v0) = 0 & p4(v0) = v1)
% 213.65/169.00 |
% 213.65/169.00 | Applying alpha-rule on (387) yields:
% 213.65/169.00 | (388) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p3(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p4(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 | (389) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ( ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p3(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p2(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))) & ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p1(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p2(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))) & ? [v1] : ? [v2] : ( ~ (v2 = 0) & p3(v1) = v2 & r1(v0, v1) = 0)))
% 213.65/169.00 | (390) ? [v0] : ? [v1] : ( ~ (v1 = 0) & r1(all_55_0_28, v0) = 0 & p4(v0) = v1)
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (355) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (391) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p5(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p6(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (360) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (392) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p7(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p6(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (361) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (393) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p7(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p8(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (362) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (394) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p9(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p8(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (363) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (395) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p9(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p10(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (364) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (396) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p11(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p10(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (365) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (397) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p11(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p12(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (366) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (398) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p13(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p12(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (367) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (399) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p13(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p14(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (368) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (400) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p15(v2) = v3) | ? [v4] : ? [v5] : (r1(v1, v2) = v4 & p14(v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (369) with all_55_0_28 and discharging atoms r1(all_51_0_26, all_55_0_28) = 0, yields:
% 213.65/169.00 | (401) ! [v0] : ( ~ (r1(all_55_0_28, v0) = 0) | ! [v1] : ( ~ (r1(v0, v1) = 0) | ! [v2] : ! [v3] : ( ~ (p1(v2) = v3) | ? [v4] : ? [v5] : (p15(v2) = v5 & r1(v1, v2) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (372) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.00 | (402) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p3(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p4(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (373) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.00 | (403) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p3(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p2(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0)))))) & ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p1(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p2(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0)))))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p3(v0) = v1 & r1(all_57_0_29, v0) = 0)
% 213.65/169.00 |
% 213.65/169.00 | Applying alpha-rule on (403) yields:
% 213.65/169.00 | (404) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p3(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p2(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.00 | (405) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p1(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p2(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.00 | (406) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p3(v0) = v1 & r1(all_57_0_29, v0) = 0)
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (370) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.00 | (407) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p5(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p4(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (375) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.00 | (408) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p5(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p6(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (376) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.00 | (409) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p7(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p6(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (377) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.00 | (410) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p7(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p8(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.00 |
% 213.65/169.00 | Instantiating formula (378) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.00 | (411) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p9(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p8(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.00 |
% 213.65/169.01 | Instantiating formula (379) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.01 | (412) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p9(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p10(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (380) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.01 | (413) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p11(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p10(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (381) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.01 | (414) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p11(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p12(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (382) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.01 | (415) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p13(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p12(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (383) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.01 | (416) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p13(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p14(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (384) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.01 | (417) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p15(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p14(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (385) with all_57_0_29 and discharging atoms r1(all_53_0_27, all_57_0_29) = 0, yields:
% 213.65/169.01 | (418) ! [v0] : ( ~ (r1(all_57_0_29, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p1(v1) = v2) | ? [v3] : ? [v4] : (p15(v1) = v4 & r1(v0, v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (388) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (419) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p3(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p4(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (389) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (420) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p3(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p2(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0)))))) & ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p1(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p2(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0)))))) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & p3(v0) = v1 & r1(all_59_0_30, v0) = 0)
% 213.65/169.01 |
% 213.65/169.01 | Applying alpha-rule on (420) yields:
% 213.65/169.01 | (421) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p3(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p2(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 | (422) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p1(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p2(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 | (423) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p3(v0) = v1 & r1(all_59_0_30, v0) = 0)
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (386) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (424) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p5(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p4(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (391) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (425) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p5(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p6(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (392) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (426) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p7(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p6(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (393) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (427) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p7(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p8(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (394) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (428) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p9(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p8(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (395) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (429) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p9(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p10(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (396) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (430) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p11(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p10(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (397) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (431) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p11(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p12(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (398) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (432) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p13(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p12(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (399) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (433) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p13(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p14(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (400) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (434) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p15(v1) = v2) | ? [v3] : ? [v4] : (r1(v0, v1) = v3 & p14(v1) = v4 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (401) with all_59_0_30 and discharging atoms r1(all_55_0_28, all_59_0_30) = 0, yields:
% 213.65/169.01 | (435) ! [v0] : ( ~ (r1(all_59_0_30, v0) = 0) | ! [v1] : ! [v2] : ( ~ (p1(v1) = v2) | ? [v3] : ? [v4] : (p15(v1) = v4 & r1(v0, v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | ~ (v2 = 0)) & (v4 = 0 | v2 = 0))))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (404) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.01 | (436) ! [v0] : ! [v1] : ( ~ (p3(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p2(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (405) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.01 | (437) ! [v0] : ! [v1] : ( ~ (p1(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p2(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (402) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.01 | (438) ! [v0] : ! [v1] : ( ~ (p3(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p4(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (407) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.01 | (439) ! [v0] : ! [v1] : ( ~ (p5(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p4(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.01 |
% 213.65/169.01 | Instantiating formula (408) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (440) ! [v0] : ! [v1] : ( ~ (p5(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p6(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (409) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (441) ! [v0] : ! [v1] : ( ~ (p7(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p6(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (410) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (442) ! [v0] : ! [v1] : ( ~ (p7(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p8(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (411) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (443) ! [v0] : ! [v1] : ( ~ (p9(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p8(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (412) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (444) ! [v0] : ! [v1] : ( ~ (p9(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p10(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (413) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (445) ! [v0] : ! [v1] : ( ~ (p11(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p10(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (414) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (446) ! [v0] : ! [v1] : ( ~ (p11(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p12(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (415) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (447) ! [v0] : ! [v1] : ( ~ (p13(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p12(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (416) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (448) ! [v0] : ! [v1] : ( ~ (p13(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p14(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (417) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (449) ! [v0] : ! [v1] : ( ~ (p15(v0) = v1) | ? [v2] : ? [v3] : (r1(all_61_0_31, v0) = v2 & p14(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (418) with all_61_0_31 and discharging atoms r1(all_57_0_29, all_61_0_31) = 0, yields:
% 213.65/169.02 | (450) ! [v0] : ! [v1] : ( ~ (p1(v0) = v1) | ? [v2] : ? [v3] : (p15(v0) = v3 & r1(all_61_0_31, v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (421) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (451) ! [v0] : ! [v1] : ( ~ (p3(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p2(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (422) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (452) ! [v0] : ! [v1] : ( ~ (p1(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p2(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (419) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (453) ! [v0] : ! [v1] : ( ~ (p3(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p4(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (424) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (454) ! [v0] : ! [v1] : ( ~ (p5(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p4(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (425) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (455) ! [v0] : ! [v1] : ( ~ (p5(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p6(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (426) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (456) ! [v0] : ! [v1] : ( ~ (p7(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p6(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (427) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (457) ! [v0] : ! [v1] : ( ~ (p7(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p8(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (428) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (458) ! [v0] : ! [v1] : ( ~ (p9(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p8(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (429) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (459) ! [v0] : ! [v1] : ( ~ (p9(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p10(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (430) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (460) ! [v0] : ! [v1] : ( ~ (p11(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p10(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (431) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (461) ! [v0] : ! [v1] : ( ~ (p11(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p12(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (432) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (462) ! [v0] : ! [v1] : ( ~ (p13(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p12(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (433) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (463) ! [v0] : ! [v1] : ( ~ (p13(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p14(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (434) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (464) ! [v0] : ! [v1] : ( ~ (p15(v0) = v1) | ? [v2] : ? [v3] : (r1(all_63_0_32, v0) = v2 & p14(v0) = v3 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (435) with all_63_0_32 and discharging atoms r1(all_59_0_30, all_63_0_32) = 0, yields:
% 213.65/169.02 | (465) ! [v0] : ! [v1] : ( ~ (p1(v0) = v1) | ? [v2] : ? [v3] : (p15(v0) = v3 & r1(all_63_0_32, v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0)))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (437) with all_65_0_33, all_65_16_49 and discharging atoms p1(all_65_16_49) = all_65_0_33, yields:
% 213.65/169.02 | (466) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p2(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_0_33 = 0)) & (v1 = 0 | all_65_0_33 = 0))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (436) with all_65_2_35, all_65_16_49 and discharging atoms p3(all_65_16_49) = all_65_2_35, yields:
% 213.65/169.02 | (467) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p2(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_2_35 = 0)) & (v1 = 0 | all_65_2_35 = 0))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (438) with all_65_2_35, all_65_16_49 and discharging atoms p3(all_65_16_49) = all_65_2_35, yields:
% 213.65/169.02 | (468) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p4(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_2_35 = 0)) & (v1 = 0 | all_65_2_35 = 0))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (439) with all_65_4_37, all_65_16_49 and discharging atoms p5(all_65_16_49) = all_65_4_37, yields:
% 213.65/169.02 | (469) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p4(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_4_37 = 0)) & (v1 = 0 | all_65_4_37 = 0))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (440) with all_65_4_37, all_65_16_49 and discharging atoms p5(all_65_16_49) = all_65_4_37, yields:
% 213.65/169.02 | (470) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p6(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_4_37 = 0)) & (v1 = 0 | all_65_4_37 = 0))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (441) with all_65_6_39, all_65_16_49 and discharging atoms p7(all_65_16_49) = all_65_6_39, yields:
% 213.65/169.02 | (471) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p6(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_6_39 = 0)) & (v1 = 0 | all_65_6_39 = 0))))
% 213.65/169.02 |
% 213.65/169.02 | Instantiating formula (442) with all_65_6_39, all_65_16_49 and discharging atoms p7(all_65_16_49) = all_65_6_39, yields:
% 213.65/169.02 | (472) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p8(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_6_39 = 0)) & (v1 = 0 | all_65_6_39 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (443) with all_65_8_41, all_65_16_49 and discharging atoms p9(all_65_16_49) = all_65_8_41, yields:
% 213.65/169.03 | (473) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p8(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_8_41 = 0)) & (v1 = 0 | all_65_8_41 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (444) with all_65_8_41, all_65_16_49 and discharging atoms p9(all_65_16_49) = all_65_8_41, yields:
% 213.65/169.03 | (474) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p10(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_8_41 = 0)) & (v1 = 0 | all_65_8_41 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (445) with all_65_10_43, all_65_16_49 and discharging atoms p11(all_65_16_49) = all_65_10_43, yields:
% 213.65/169.03 | (475) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p10(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_10_43 = 0)) & (v1 = 0 | all_65_10_43 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (446) with all_65_10_43, all_65_16_49 and discharging atoms p11(all_65_16_49) = all_65_10_43, yields:
% 213.65/169.03 | (476) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p12(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_10_43 = 0)) & (v1 = 0 | all_65_10_43 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (447) with all_65_12_45, all_65_16_49 and discharging atoms p13(all_65_16_49) = all_65_12_45, yields:
% 213.65/169.03 | (477) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p12(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_12_45 = 0)) & (v1 = 0 | all_65_12_45 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (448) with all_65_12_45, all_65_16_49 and discharging atoms p13(all_65_16_49) = all_65_12_45, yields:
% 213.65/169.03 | (478) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p14(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_12_45 = 0)) & (v1 = 0 | all_65_12_45 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (449) with all_65_14_47, all_65_16_49 and discharging atoms p15(all_65_16_49) = all_65_14_47, yields:
% 213.65/169.03 | (479) ? [v0] : ? [v1] : (r1(all_61_0_31, all_65_16_49) = v0 & p14(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_14_47 = 0)) & (v1 = 0 | all_65_14_47 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (450) with all_65_0_33, all_65_16_49 and discharging atoms p1(all_65_16_49) = all_65_0_33, yields:
% 213.65/169.03 | (480) ? [v0] : ? [v1] : (p15(all_65_16_49) = v1 & r1(all_61_0_31, all_65_16_49) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_0_33 = 0)) & (v1 = 0 | all_65_0_33 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (452) with all_65_0_33, all_65_16_49 and discharging atoms p1(all_65_16_49) = all_65_0_33, yields:
% 213.65/169.03 | (481) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p2(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_0_33 = 0)) & (v1 = 0 | all_65_0_33 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (451) with all_65_2_35, all_65_16_49 and discharging atoms p3(all_65_16_49) = all_65_2_35, yields:
% 213.65/169.03 | (482) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p2(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_2_35 = 0)) & (v1 = 0 | all_65_2_35 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (453) with all_65_2_35, all_65_16_49 and discharging atoms p3(all_65_16_49) = all_65_2_35, yields:
% 213.65/169.03 | (483) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p4(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_2_35 = 0)) & (v1 = 0 | all_65_2_35 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (454) with all_65_4_37, all_65_16_49 and discharging atoms p5(all_65_16_49) = all_65_4_37, yields:
% 213.65/169.03 | (484) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p4(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_4_37 = 0)) & (v1 = 0 | all_65_4_37 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (455) with all_65_4_37, all_65_16_49 and discharging atoms p5(all_65_16_49) = all_65_4_37, yields:
% 213.65/169.03 | (485) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p6(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_4_37 = 0)) & (v1 = 0 | all_65_4_37 = 0))))
% 213.65/169.03 |
% 213.65/169.03 | Instantiating formula (456) with all_65_6_39, all_65_16_49 and discharging atoms p7(all_65_16_49) = all_65_6_39, yields:
% 213.65/169.03 | (486) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p6(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_6_39 = 0)) & (v1 = 0 | all_65_6_39 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (457) with all_65_6_39, all_65_16_49 and discharging atoms p7(all_65_16_49) = all_65_6_39, yields:
% 214.07/169.03 | (487) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p8(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_6_39 = 0)) & (v1 = 0 | all_65_6_39 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (458) with all_65_8_41, all_65_16_49 and discharging atoms p9(all_65_16_49) = all_65_8_41, yields:
% 214.07/169.03 | (488) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p8(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_8_41 = 0)) & (v1 = 0 | all_65_8_41 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (459) with all_65_8_41, all_65_16_49 and discharging atoms p9(all_65_16_49) = all_65_8_41, yields:
% 214.07/169.03 | (489) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p10(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_8_41 = 0)) & (v1 = 0 | all_65_8_41 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (460) with all_65_10_43, all_65_16_49 and discharging atoms p11(all_65_16_49) = all_65_10_43, yields:
% 214.07/169.03 | (490) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p10(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_10_43 = 0)) & (v1 = 0 | all_65_10_43 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (461) with all_65_10_43, all_65_16_49 and discharging atoms p11(all_65_16_49) = all_65_10_43, yields:
% 214.07/169.03 | (491) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p12(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_10_43 = 0)) & (v1 = 0 | all_65_10_43 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (462) with all_65_12_45, all_65_16_49 and discharging atoms p13(all_65_16_49) = all_65_12_45, yields:
% 214.07/169.03 | (492) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p12(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_12_45 = 0)) & (v1 = 0 | all_65_12_45 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (463) with all_65_12_45, all_65_16_49 and discharging atoms p13(all_65_16_49) = all_65_12_45, yields:
% 214.07/169.03 | (493) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p14(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_12_45 = 0)) & (v1 = 0 | all_65_12_45 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (464) with all_65_14_47, all_65_16_49 and discharging atoms p15(all_65_16_49) = all_65_14_47, yields:
% 214.07/169.03 | (494) ? [v0] : ? [v1] : (r1(all_63_0_32, all_65_16_49) = v0 & p14(all_65_16_49) = v1 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_14_47 = 0)) & (v1 = 0 | all_65_14_47 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating formula (465) with all_65_0_33, all_65_16_49 and discharging atoms p1(all_65_16_49) = all_65_0_33, yields:
% 214.07/169.03 | (495) ? [v0] : ? [v1] : (p15(all_65_16_49) = v1 & r1(all_63_0_32, all_65_16_49) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | ~ (all_65_0_33 = 0)) & (v1 = 0 | all_65_0_33 = 0))))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating (466) with all_373_0_125, all_373_1_126 yields:
% 214.07/169.03 | (496) r1(all_61_0_31, all_65_16_49) = all_373_1_126 & p2(all_65_16_49) = all_373_0_125 & ( ~ (all_373_1_126 = 0) | (( ~ (all_373_0_125 = 0) | ~ (all_65_0_33 = 0)) & (all_373_0_125 = 0 | all_65_0_33 = 0)))
% 214.07/169.03 |
% 214.07/169.03 | Applying alpha-rule on (496) yields:
% 214.07/169.03 | (497) r1(all_61_0_31, all_65_16_49) = all_373_1_126
% 214.07/169.03 | (498) p2(all_65_16_49) = all_373_0_125
% 214.07/169.03 | (499) ~ (all_373_1_126 = 0) | (( ~ (all_373_0_125 = 0) | ~ (all_65_0_33 = 0)) & (all_373_0_125 = 0 | all_65_0_33 = 0))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating (467) with all_375_0_127, all_375_1_128 yields:
% 214.07/169.03 | (500) r1(all_61_0_31, all_65_16_49) = all_375_1_128 & p2(all_65_16_49) = all_375_0_127 & ( ~ (all_375_1_128 = 0) | (( ~ (all_375_0_127 = 0) | ~ (all_65_2_35 = 0)) & (all_375_0_127 = 0 | all_65_2_35 = 0)))
% 214.07/169.03 |
% 214.07/169.03 | Applying alpha-rule on (500) yields:
% 214.07/169.03 | (501) r1(all_61_0_31, all_65_16_49) = all_375_1_128
% 214.07/169.03 | (502) p2(all_65_16_49) = all_375_0_127
% 214.07/169.03 | (503) ~ (all_375_1_128 = 0) | (( ~ (all_375_0_127 = 0) | ~ (all_65_2_35 = 0)) & (all_375_0_127 = 0 | all_65_2_35 = 0))
% 214.07/169.03 |
% 214.07/169.03 | Instantiating (468) with all_377_0_129, all_377_1_130 yields:
% 214.07/169.03 | (504) r1(all_61_0_31, all_65_16_49) = all_377_1_130 & p4(all_65_16_49) = all_377_0_129 & ( ~ (all_377_1_130 = 0) | (( ~ (all_377_0_129 = 0) | ~ (all_65_2_35 = 0)) & (all_377_0_129 = 0 | all_65_2_35 = 0)))
% 214.07/169.03 |
% 214.07/169.03 | Applying alpha-rule on (504) yields:
% 214.07/169.03 | (505) r1(all_61_0_31, all_65_16_49) = all_377_1_130
% 214.07/169.04 | (506) p4(all_65_16_49) = all_377_0_129
% 214.07/169.04 | (507) ~ (all_377_1_130 = 0) | (( ~ (all_377_0_129 = 0) | ~ (all_65_2_35 = 0)) & (all_377_0_129 = 0 | all_65_2_35 = 0))
% 214.07/169.04 |
% 214.07/169.04 | Instantiating (469) with all_379_0_131, all_379_1_132 yields:
% 214.07/169.04 | (508) r1(all_61_0_31, all_65_16_49) = all_379_1_132 & p4(all_65_16_49) = all_379_0_131 & ( ~ (all_379_1_132 = 0) | (( ~ (all_379_0_131 = 0) | ~ (all_65_4_37 = 0)) & (all_379_0_131 = 0 | all_65_4_37 = 0)))
% 214.07/169.04 |
% 214.07/169.04 | Applying alpha-rule on (508) yields:
% 214.07/169.04 | (509) r1(all_61_0_31, all_65_16_49) = all_379_1_132
% 214.07/169.04 | (510) p4(all_65_16_49) = all_379_0_131
% 214.07/169.04 | (511) ~ (all_379_1_132 = 0) | (( ~ (all_379_0_131 = 0) | ~ (all_65_4_37 = 0)) & (all_379_0_131 = 0 | all_65_4_37 = 0))
% 214.07/169.04 |
% 214.07/169.04 | Instantiating (470) with all_381_0_133, all_381_1_134 yields:
% 214.07/169.04 | (512) r1(all_61_0_31, all_65_16_49) = all_381_1_134 & p6(all_65_16_49) = all_381_0_133 & ( ~ (all_381_1_134 = 0) | (( ~ (all_381_0_133 = 0) | ~ (all_65_4_37 = 0)) & (all_381_0_133 = 0 | all_65_4_37 = 0)))
% 214.07/169.04 |
% 214.07/169.04 | Applying alpha-rule on (512) yields:
% 214.07/169.04 | (513) r1(all_61_0_31, all_65_16_49) = all_381_1_134
% 214.07/169.04 | (514) p6(all_65_16_49) = all_381_0_133
% 214.07/169.04 | (515) ~ (all_381_1_134 = 0) | (( ~ (all_381_0_133 = 0) | ~ (all_65_4_37 = 0)) & (all_381_0_133 = 0 | all_65_4_37 = 0))
% 214.07/169.04 |
% 214.07/169.04 | Instantiating (471) with all_383_0_135, all_383_1_136 yields:
% 214.07/169.04 | (516) r1(all_61_0_31, all_65_16_49) = all_383_1_136 & p6(all_65_16_49) = all_383_0_135 & ( ~ (all_383_1_136 = 0) | (( ~ (all_383_0_135 = 0) | ~ (all_65_6_39 = 0)) & (all_383_0_135 = 0 | all_65_6_39 = 0)))
% 214.07/169.04 |
% 214.07/169.04 | Applying alpha-rule on (516) yields:
% 214.07/169.04 | (517) r1(all_61_0_31, all_65_16_49) = all_383_1_136
% 214.07/169.04 | (518) p6(all_65_16_49) = all_383_0_135
% 214.07/169.04 | (519) ~ (all_383_1_136 = 0) | (( ~ (all_383_0_135 = 0) | ~ (all_65_6_39 = 0)) & (all_383_0_135 = 0 | all_65_6_39 = 0))
% 214.07/169.04 |
% 214.07/169.04 | Instantiating (472) with all_385_0_137, all_385_1_138 yields:
% 214.07/169.04 | (520) r1(all_61_0_31, all_65_16_49) = all_385_1_138 & p8(all_65_16_49) = all_385_0_137 & ( ~ (all_385_1_138 = 0) | (( ~ (all_385_0_137 = 0) | ~ (all_65_6_39 = 0)) & (all_385_0_137 = 0 | all_65_6_39 = 0)))
% 214.07/169.04 |
% 214.07/169.04 | Applying alpha-rule on (520) yields:
% 214.07/169.04 | (521) r1(all_61_0_31, all_65_16_49) = all_385_1_138
% 214.07/169.04 | (522) p8(all_65_16_49) = all_385_0_137
% 214.07/169.04 | (523) ~ (all_385_1_138 = 0) | (( ~ (all_385_0_137 = 0) | ~ (all_65_6_39 = 0)) & (all_385_0_137 = 0 | all_65_6_39 = 0))
% 214.07/169.04 |
% 214.07/169.04 | Instantiating (473) with all_387_0_139, all_387_1_140 yields:
% 214.07/169.04 | (524) r1(all_61_0_31, all_65_16_49) = all_387_1_140 & p8(all_65_16_49) = all_387_0_139 & ( ~ (all_387_1_140 = 0) | (( ~ (all_387_0_139 = 0) | ~ (all_65_8_41 = 0)) & (all_387_0_139 = 0 | all_65_8_41 = 0)))
% 214.07/169.04 |
% 214.07/169.04 | Applying alpha-rule on (524) yields:
% 214.07/169.04 | (525) r1(all_61_0_31, all_65_16_49) = all_387_1_140
% 214.07/169.04 | (526) p8(all_65_16_49) = all_387_0_139
% 214.07/169.04 | (527) ~ (all_387_1_140 = 0) | (( ~ (all_387_0_139 = 0) | ~ (all_65_8_41 = 0)) & (all_387_0_139 = 0 | all_65_8_41 = 0))
% 214.07/169.04 |
% 214.07/169.04 | Instantiating (474) with all_389_0_141, all_389_1_142 yields:
% 214.07/169.04 | (528) r1(all_61_0_31, all_65_16_49) = all_389_1_142 & p10(all_65_16_49) = all_389_0_141 & ( ~ (all_389_1_142 = 0) | (( ~ (all_389_0_141 = 0) | ~ (all_65_8_41 = 0)) & (all_389_0_141 = 0 | all_65_8_41 = 0)))
% 214.07/169.04 |
% 214.07/169.04 | Applying alpha-rule on (528) yields:
% 214.07/169.04 | (529) r1(all_61_0_31, all_65_16_49) = all_389_1_142
% 214.07/169.04 | (530) p10(all_65_16_49) = all_389_0_141
% 214.07/169.04 | (531) ~ (all_389_1_142 = 0) | (( ~ (all_389_0_141 = 0) | ~ (all_65_8_41 = 0)) & (all_389_0_141 = 0 | all_65_8_41 = 0))
% 214.07/169.04 |
% 214.07/169.04 | Instantiating (475) with all_391_0_143, all_391_1_144 yields:
% 214.07/169.04 | (532) r1(all_61_0_31, all_65_16_49) = all_391_1_144 & p10(all_65_16_49) = all_391_0_143 & ( ~ (all_391_1_144 = 0) | (( ~ (all_391_0_143 = 0) | ~ (all_65_10_43 = 0)) & (all_391_0_143 = 0 | all_65_10_43 = 0)))
% 214.07/169.04 |
% 214.07/169.04 | Applying alpha-rule on (532) yields:
% 214.07/169.04 | (533) r1(all_61_0_31, all_65_16_49) = all_391_1_144
% 214.07/169.04 | (534) p10(all_65_16_49) = all_391_0_143
% 214.07/169.04 | (535) ~ (all_391_1_144 = 0) | (( ~ (all_391_0_143 = 0) | ~ (all_65_10_43 = 0)) & (all_391_0_143 = 0 | all_65_10_43 = 0))
% 214.07/169.04 |
% 214.07/169.04 | Instantiating (476) with all_393_0_145, all_393_1_146 yields:
% 214.07/169.04 | (536) r1(all_61_0_31, all_65_16_49) = all_393_1_146 & p12(all_65_16_49) = all_393_0_145 & ( ~ (all_393_1_146 = 0) | (( ~ (all_393_0_145 = 0) | ~ (all_65_10_43 = 0)) & (all_393_0_145 = 0 | all_65_10_43 = 0)))
% 214.07/169.04 |
% 214.07/169.04 | Applying alpha-rule on (536) yields:
% 214.07/169.04 | (537) r1(all_61_0_31, all_65_16_49) = all_393_1_146
% 214.07/169.05 | (538) p12(all_65_16_49) = all_393_0_145
% 214.07/169.05 | (539) ~ (all_393_1_146 = 0) | (( ~ (all_393_0_145 = 0) | ~ (all_65_10_43 = 0)) & (all_393_0_145 = 0 | all_65_10_43 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (477) with all_395_0_147, all_395_1_148 yields:
% 214.07/169.05 | (540) r1(all_61_0_31, all_65_16_49) = all_395_1_148 & p12(all_65_16_49) = all_395_0_147 & ( ~ (all_395_1_148 = 0) | (( ~ (all_395_0_147 = 0) | ~ (all_65_12_45 = 0)) & (all_395_0_147 = 0 | all_65_12_45 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (540) yields:
% 214.07/169.05 | (541) r1(all_61_0_31, all_65_16_49) = all_395_1_148
% 214.07/169.05 | (542) p12(all_65_16_49) = all_395_0_147
% 214.07/169.05 | (543) ~ (all_395_1_148 = 0) | (( ~ (all_395_0_147 = 0) | ~ (all_65_12_45 = 0)) & (all_395_0_147 = 0 | all_65_12_45 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (478) with all_397_0_149, all_397_1_150 yields:
% 214.07/169.05 | (544) r1(all_61_0_31, all_65_16_49) = all_397_1_150 & p14(all_65_16_49) = all_397_0_149 & ( ~ (all_397_1_150 = 0) | (( ~ (all_397_0_149 = 0) | ~ (all_65_12_45 = 0)) & (all_397_0_149 = 0 | all_65_12_45 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (544) yields:
% 214.07/169.05 | (545) r1(all_61_0_31, all_65_16_49) = all_397_1_150
% 214.07/169.05 | (546) p14(all_65_16_49) = all_397_0_149
% 214.07/169.05 | (547) ~ (all_397_1_150 = 0) | (( ~ (all_397_0_149 = 0) | ~ (all_65_12_45 = 0)) & (all_397_0_149 = 0 | all_65_12_45 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (479) with all_399_0_151, all_399_1_152 yields:
% 214.07/169.05 | (548) r1(all_61_0_31, all_65_16_49) = all_399_1_152 & p14(all_65_16_49) = all_399_0_151 & ( ~ (all_399_1_152 = 0) | (( ~ (all_399_0_151 = 0) | ~ (all_65_14_47 = 0)) & (all_399_0_151 = 0 | all_65_14_47 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (548) yields:
% 214.07/169.05 | (549) r1(all_61_0_31, all_65_16_49) = all_399_1_152
% 214.07/169.05 | (550) p14(all_65_16_49) = all_399_0_151
% 214.07/169.05 | (551) ~ (all_399_1_152 = 0) | (( ~ (all_399_0_151 = 0) | ~ (all_65_14_47 = 0)) & (all_399_0_151 = 0 | all_65_14_47 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (480) with all_401_0_153, all_401_1_154 yields:
% 214.07/169.05 | (552) p15(all_65_16_49) = all_401_0_153 & r1(all_61_0_31, all_65_16_49) = all_401_1_154 & ( ~ (all_401_1_154 = 0) | (( ~ (all_401_0_153 = 0) | ~ (all_65_0_33 = 0)) & (all_401_0_153 = 0 | all_65_0_33 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (552) yields:
% 214.07/169.05 | (553) p15(all_65_16_49) = all_401_0_153
% 214.07/169.05 | (554) r1(all_61_0_31, all_65_16_49) = all_401_1_154
% 214.07/169.05 | (555) ~ (all_401_1_154 = 0) | (( ~ (all_401_0_153 = 0) | ~ (all_65_0_33 = 0)) & (all_401_0_153 = 0 | all_65_0_33 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (481) with all_403_0_155, all_403_1_156 yields:
% 214.07/169.05 | (556) r1(all_63_0_32, all_65_16_49) = all_403_1_156 & p2(all_65_16_49) = all_403_0_155 & ( ~ (all_403_1_156 = 0) | (( ~ (all_403_0_155 = 0) | ~ (all_65_0_33 = 0)) & (all_403_0_155 = 0 | all_65_0_33 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (556) yields:
% 214.07/169.05 | (557) r1(all_63_0_32, all_65_16_49) = all_403_1_156
% 214.07/169.05 | (558) p2(all_65_16_49) = all_403_0_155
% 214.07/169.05 | (559) ~ (all_403_1_156 = 0) | (( ~ (all_403_0_155 = 0) | ~ (all_65_0_33 = 0)) & (all_403_0_155 = 0 | all_65_0_33 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (482) with all_405_0_157, all_405_1_158 yields:
% 214.07/169.05 | (560) r1(all_63_0_32, all_65_16_49) = all_405_1_158 & p2(all_65_16_49) = all_405_0_157 & ( ~ (all_405_1_158 = 0) | (( ~ (all_405_0_157 = 0) | ~ (all_65_2_35 = 0)) & (all_405_0_157 = 0 | all_65_2_35 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (560) yields:
% 214.07/169.05 | (561) r1(all_63_0_32, all_65_16_49) = all_405_1_158
% 214.07/169.05 | (562) p2(all_65_16_49) = all_405_0_157
% 214.07/169.05 | (563) ~ (all_405_1_158 = 0) | (( ~ (all_405_0_157 = 0) | ~ (all_65_2_35 = 0)) & (all_405_0_157 = 0 | all_65_2_35 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (483) with all_407_0_159, all_407_1_160 yields:
% 214.07/169.05 | (564) r1(all_63_0_32, all_65_16_49) = all_407_1_160 & p4(all_65_16_49) = all_407_0_159 & ( ~ (all_407_1_160 = 0) | (( ~ (all_407_0_159 = 0) | ~ (all_65_2_35 = 0)) & (all_407_0_159 = 0 | all_65_2_35 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (564) yields:
% 214.07/169.05 | (565) r1(all_63_0_32, all_65_16_49) = all_407_1_160
% 214.07/169.05 | (566) p4(all_65_16_49) = all_407_0_159
% 214.07/169.05 | (567) ~ (all_407_1_160 = 0) | (( ~ (all_407_0_159 = 0) | ~ (all_65_2_35 = 0)) & (all_407_0_159 = 0 | all_65_2_35 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (484) with all_409_0_161, all_409_1_162 yields:
% 214.07/169.05 | (568) r1(all_63_0_32, all_65_16_49) = all_409_1_162 & p4(all_65_16_49) = all_409_0_161 & ( ~ (all_409_1_162 = 0) | (( ~ (all_409_0_161 = 0) | ~ (all_65_4_37 = 0)) & (all_409_0_161 = 0 | all_65_4_37 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (568) yields:
% 214.07/169.05 | (569) r1(all_63_0_32, all_65_16_49) = all_409_1_162
% 214.07/169.05 | (570) p4(all_65_16_49) = all_409_0_161
% 214.07/169.05 | (571) ~ (all_409_1_162 = 0) | (( ~ (all_409_0_161 = 0) | ~ (all_65_4_37 = 0)) & (all_409_0_161 = 0 | all_65_4_37 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (485) with all_411_0_163, all_411_1_164 yields:
% 214.07/169.05 | (572) r1(all_63_0_32, all_65_16_49) = all_411_1_164 & p6(all_65_16_49) = all_411_0_163 & ( ~ (all_411_1_164 = 0) | (( ~ (all_411_0_163 = 0) | ~ (all_65_4_37 = 0)) & (all_411_0_163 = 0 | all_65_4_37 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (572) yields:
% 214.07/169.05 | (573) r1(all_63_0_32, all_65_16_49) = all_411_1_164
% 214.07/169.05 | (574) p6(all_65_16_49) = all_411_0_163
% 214.07/169.05 | (575) ~ (all_411_1_164 = 0) | (( ~ (all_411_0_163 = 0) | ~ (all_65_4_37 = 0)) & (all_411_0_163 = 0 | all_65_4_37 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (486) with all_413_0_165, all_413_1_166 yields:
% 214.07/169.05 | (576) r1(all_63_0_32, all_65_16_49) = all_413_1_166 & p6(all_65_16_49) = all_413_0_165 & ( ~ (all_413_1_166 = 0) | (( ~ (all_413_0_165 = 0) | ~ (all_65_6_39 = 0)) & (all_413_0_165 = 0 | all_65_6_39 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (576) yields:
% 214.07/169.05 | (577) r1(all_63_0_32, all_65_16_49) = all_413_1_166
% 214.07/169.05 | (578) p6(all_65_16_49) = all_413_0_165
% 214.07/169.05 | (579) ~ (all_413_1_166 = 0) | (( ~ (all_413_0_165 = 0) | ~ (all_65_6_39 = 0)) & (all_413_0_165 = 0 | all_65_6_39 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (487) with all_415_0_167, all_415_1_168 yields:
% 214.07/169.05 | (580) r1(all_63_0_32, all_65_16_49) = all_415_1_168 & p8(all_65_16_49) = all_415_0_167 & ( ~ (all_415_1_168 = 0) | (( ~ (all_415_0_167 = 0) | ~ (all_65_6_39 = 0)) & (all_415_0_167 = 0 | all_65_6_39 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (580) yields:
% 214.07/169.05 | (581) r1(all_63_0_32, all_65_16_49) = all_415_1_168
% 214.07/169.05 | (582) p8(all_65_16_49) = all_415_0_167
% 214.07/169.05 | (583) ~ (all_415_1_168 = 0) | (( ~ (all_415_0_167 = 0) | ~ (all_65_6_39 = 0)) & (all_415_0_167 = 0 | all_65_6_39 = 0))
% 214.07/169.05 |
% 214.07/169.05 | Instantiating (488) with all_417_0_169, all_417_1_170 yields:
% 214.07/169.05 | (584) r1(all_63_0_32, all_65_16_49) = all_417_1_170 & p8(all_65_16_49) = all_417_0_169 & ( ~ (all_417_1_170 = 0) | (( ~ (all_417_0_169 = 0) | ~ (all_65_8_41 = 0)) & (all_417_0_169 = 0 | all_65_8_41 = 0)))
% 214.07/169.05 |
% 214.07/169.05 | Applying alpha-rule on (584) yields:
% 214.07/169.05 | (585) r1(all_63_0_32, all_65_16_49) = all_417_1_170
% 214.07/169.05 | (586) p8(all_65_16_49) = all_417_0_169
% 214.07/169.05 | (587) ~ (all_417_1_170 = 0) | (( ~ (all_417_0_169 = 0) | ~ (all_65_8_41 = 0)) & (all_417_0_169 = 0 | all_65_8_41 = 0))
% 214.07/169.05 |
% 214.07/169.06 | Instantiating (489) with all_419_0_171, all_419_1_172 yields:
% 214.07/169.06 | (588) r1(all_63_0_32, all_65_16_49) = all_419_1_172 & p10(all_65_16_49) = all_419_0_171 & ( ~ (all_419_1_172 = 0) | (( ~ (all_419_0_171 = 0) | ~ (all_65_8_41 = 0)) & (all_419_0_171 = 0 | all_65_8_41 = 0)))
% 214.07/169.06 |
% 214.07/169.06 | Applying alpha-rule on (588) yields:
% 214.07/169.06 | (589) r1(all_63_0_32, all_65_16_49) = all_419_1_172
% 214.07/169.06 | (590) p10(all_65_16_49) = all_419_0_171
% 214.07/169.06 | (591) ~ (all_419_1_172 = 0) | (( ~ (all_419_0_171 = 0) | ~ (all_65_8_41 = 0)) & (all_419_0_171 = 0 | all_65_8_41 = 0))
% 214.07/169.06 |
% 214.07/169.06 | Instantiating (490) with all_421_0_173, all_421_1_174 yields:
% 214.07/169.06 | (592) r1(all_63_0_32, all_65_16_49) = all_421_1_174 & p10(all_65_16_49) = all_421_0_173 & ( ~ (all_421_1_174 = 0) | (( ~ (all_421_0_173 = 0) | ~ (all_65_10_43 = 0)) & (all_421_0_173 = 0 | all_65_10_43 = 0)))
% 214.07/169.06 |
% 214.07/169.06 | Applying alpha-rule on (592) yields:
% 214.07/169.06 | (593) r1(all_63_0_32, all_65_16_49) = all_421_1_174
% 214.07/169.06 | (594) p10(all_65_16_49) = all_421_0_173
% 214.07/169.06 | (595) ~ (all_421_1_174 = 0) | (( ~ (all_421_0_173 = 0) | ~ (all_65_10_43 = 0)) & (all_421_0_173 = 0 | all_65_10_43 = 0))
% 214.07/169.06 |
% 214.07/169.06 | Instantiating (491) with all_423_0_175, all_423_1_176 yields:
% 214.07/169.06 | (596) r1(all_63_0_32, all_65_16_49) = all_423_1_176 & p12(all_65_16_49) = all_423_0_175 & ( ~ (all_423_1_176 = 0) | (( ~ (all_423_0_175 = 0) | ~ (all_65_10_43 = 0)) & (all_423_0_175 = 0 | all_65_10_43 = 0)))
% 214.07/169.06 |
% 214.07/169.06 | Applying alpha-rule on (596) yields:
% 214.07/169.06 | (597) r1(all_63_0_32, all_65_16_49) = all_423_1_176
% 214.07/169.06 | (598) p12(all_65_16_49) = all_423_0_175
% 214.07/169.06 | (599) ~ (all_423_1_176 = 0) | (( ~ (all_423_0_175 = 0) | ~ (all_65_10_43 = 0)) & (all_423_0_175 = 0 | all_65_10_43 = 0))
% 214.07/169.06 |
% 214.07/169.06 | Instantiating (492) with all_425_0_177, all_425_1_178 yields:
% 214.07/169.06 | (600) r1(all_63_0_32, all_65_16_49) = all_425_1_178 & p12(all_65_16_49) = all_425_0_177 & ( ~ (all_425_1_178 = 0) | (( ~ (all_425_0_177 = 0) | ~ (all_65_12_45 = 0)) & (all_425_0_177 = 0 | all_65_12_45 = 0)))
% 214.07/169.06 |
% 214.07/169.06 | Applying alpha-rule on (600) yields:
% 214.07/169.06 | (601) r1(all_63_0_32, all_65_16_49) = all_425_1_178
% 214.07/169.06 | (602) p12(all_65_16_49) = all_425_0_177
% 214.07/169.06 | (603) ~ (all_425_1_178 = 0) | (( ~ (all_425_0_177 = 0) | ~ (all_65_12_45 = 0)) & (all_425_0_177 = 0 | all_65_12_45 = 0))
% 214.07/169.06 |
% 214.07/169.06 | Instantiating (493) with all_427_0_179, all_427_1_180 yields:
% 214.07/169.06 | (604) r1(all_63_0_32, all_65_16_49) = all_427_1_180 & p14(all_65_16_49) = all_427_0_179 & ( ~ (all_427_1_180 = 0) | (( ~ (all_427_0_179 = 0) | ~ (all_65_12_45 = 0)) & (all_427_0_179 = 0 | all_65_12_45 = 0)))
% 214.07/169.06 |
% 214.07/169.06 | Applying alpha-rule on (604) yields:
% 214.07/169.06 | (605) r1(all_63_0_32, all_65_16_49) = all_427_1_180
% 214.07/169.06 | (606) p14(all_65_16_49) = all_427_0_179
% 214.07/169.06 | (607) ~ (all_427_1_180 = 0) | (( ~ (all_427_0_179 = 0) | ~ (all_65_12_45 = 0)) & (all_427_0_179 = 0 | all_65_12_45 = 0))
% 214.07/169.06 |
% 214.07/169.06 | Instantiating (494) with all_429_0_181, all_429_1_182 yields:
% 214.07/169.06 | (608) r1(all_63_0_32, all_65_16_49) = all_429_1_182 & p14(all_65_16_49) = all_429_0_181 & ( ~ (all_429_1_182 = 0) | (( ~ (all_429_0_181 = 0) | ~ (all_65_14_47 = 0)) & (all_429_0_181 = 0 | all_65_14_47 = 0)))
% 214.07/169.06 |
% 214.07/169.06 | Applying alpha-rule on (608) yields:
% 214.07/169.06 | (609) r1(all_63_0_32, all_65_16_49) = all_429_1_182
% 214.07/169.06 | (610) p14(all_65_16_49) = all_429_0_181
% 214.07/169.06 | (611) ~ (all_429_1_182 = 0) | (( ~ (all_429_0_181 = 0) | ~ (all_65_14_47 = 0)) & (all_429_0_181 = 0 | all_65_14_47 = 0))
% 214.07/169.06 |
% 214.07/169.06 | Instantiating (495) with all_431_0_183, all_431_1_184 yields:
% 214.07/169.06 | (612) p15(all_65_16_49) = all_431_0_183 & r1(all_63_0_32, all_65_16_49) = all_431_1_184 & ( ~ (all_431_1_184 = 0) | (( ~ (all_431_0_183 = 0) | ~ (all_65_0_33 = 0)) & (all_431_0_183 = 0 | all_65_0_33 = 0)))
% 214.07/169.06 |
% 214.07/169.06 | Applying alpha-rule on (612) yields:
% 214.07/169.06 | (613) p15(all_65_16_49) = all_431_0_183
% 214.07/169.06 | (614) r1(all_63_0_32, all_65_16_49) = all_431_1_184
% 214.07/169.06 | (615) ~ (all_431_1_184 = 0) | (( ~ (all_431_0_183 = 0) | ~ (all_65_0_33 = 0)) & (all_431_0_183 = 0 | all_65_0_33 = 0))
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (20) with all_65_16_49, all_431_0_183, all_65_14_47 and discharging atoms p15(all_65_16_49) = all_431_0_183, p15(all_65_16_49) = all_65_14_47, yields:
% 214.07/169.06 | (616) all_431_0_183 = all_65_14_47
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (20) with all_65_16_49, all_401_0_153, all_431_0_183 and discharging atoms p15(all_65_16_49) = all_431_0_183, p15(all_65_16_49) = all_401_0_153, yields:
% 214.07/169.06 | (617) all_431_0_183 = all_401_0_153
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_399_1_152, 0 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_399_1_152, r1(all_61_0_31, all_65_16_49) = 0, yields:
% 214.07/169.06 | (618) all_399_1_152 = 0
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_397_1_150, all_401_1_154 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_401_1_154, r1(all_61_0_31, all_65_16_49) = all_397_1_150, yields:
% 214.07/169.06 | (619) all_401_1_154 = all_397_1_150
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_393_1_146, all_399_1_152 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_399_1_152, r1(all_61_0_31, all_65_16_49) = all_393_1_146, yields:
% 214.07/169.06 | (620) all_399_1_152 = all_393_1_146
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_391_1_144, all_395_1_148 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_395_1_148, r1(all_61_0_31, all_65_16_49) = all_391_1_144, yields:
% 214.07/169.06 | (621) all_395_1_148 = all_391_1_144
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_391_1_144, all_393_1_146 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_393_1_146, r1(all_61_0_31, all_65_16_49) = all_391_1_144, yields:
% 214.07/169.06 | (622) all_393_1_146 = all_391_1_144
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_389_1_142, all_395_1_148 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_395_1_148, r1(all_61_0_31, all_65_16_49) = all_389_1_142, yields:
% 214.07/169.06 | (623) all_395_1_148 = all_389_1_142
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_387_1_140, all_401_1_154 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_401_1_154, r1(all_61_0_31, all_65_16_49) = all_387_1_140, yields:
% 214.07/169.06 | (624) all_401_1_154 = all_387_1_140
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_383_1_136, all_387_1_140 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_387_1_140, r1(all_61_0_31, all_65_16_49) = all_383_1_136, yields:
% 214.07/169.06 | (625) all_387_1_140 = all_383_1_136
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_383_1_136, all_385_1_138 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_385_1_138, r1(all_61_0_31, all_65_16_49) = all_383_1_136, yields:
% 214.07/169.06 | (626) all_385_1_138 = all_383_1_136
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_381_1_134, all_395_1_148 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_395_1_148, r1(all_61_0_31, all_65_16_49) = all_381_1_134, yields:
% 214.07/169.06 | (627) all_395_1_148 = all_381_1_134
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_381_1_134, all_385_1_138 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_385_1_138, r1(all_61_0_31, all_65_16_49) = all_381_1_134, yields:
% 214.07/169.06 | (628) all_385_1_138 = all_381_1_134
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_379_1_132, all_383_1_136 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_383_1_136, r1(all_61_0_31, all_65_16_49) = all_379_1_132, yields:
% 214.07/169.06 | (629) all_383_1_136 = all_379_1_132
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_377_1_130, all_401_1_154 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_401_1_154, r1(all_61_0_31, all_65_16_49) = all_377_1_130, yields:
% 214.07/169.06 | (630) all_401_1_154 = all_377_1_130
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_375_1_128, all_385_1_138 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_385_1_138, r1(all_61_0_31, all_65_16_49) = all_375_1_128, yields:
% 214.07/169.06 | (631) all_385_1_138 = all_375_1_128
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (14) with all_61_0_31, all_65_16_49, all_373_1_126, all_383_1_136 and discharging atoms r1(all_61_0_31, all_65_16_49) = all_383_1_136, r1(all_61_0_31, all_65_16_49) = all_373_1_126, yields:
% 214.07/169.06 | (632) all_383_1_136 = all_373_1_126
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (8) with all_65_16_49, all_429_0_181, all_65_13_46 and discharging atoms p14(all_65_16_49) = all_429_0_181, p14(all_65_16_49) = all_65_13_46, yields:
% 214.07/169.06 | (633) all_429_0_181 = all_65_13_46
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (8) with all_65_16_49, all_427_0_179, all_429_0_181 and discharging atoms p14(all_65_16_49) = all_429_0_181, p14(all_65_16_49) = all_427_0_179, yields:
% 214.07/169.06 | (634) all_429_0_181 = all_427_0_179
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (8) with all_65_16_49, all_399_0_151, all_427_0_179 and discharging atoms p14(all_65_16_49) = all_427_0_179, p14(all_65_16_49) = all_399_0_151, yields:
% 214.07/169.06 | (635) all_427_0_179 = all_399_0_151
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (8) with all_65_16_49, all_397_0_149, all_399_0_151 and discharging atoms p14(all_65_16_49) = all_399_0_151, p14(all_65_16_49) = all_397_0_149, yields:
% 214.07/169.06 | (636) all_399_0_151 = all_397_0_149
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (3) with all_65_16_49, all_423_0_175, all_425_0_177 and discharging atoms p12(all_65_16_49) = all_425_0_177, p12(all_65_16_49) = all_423_0_175, yields:
% 214.07/169.06 | (637) all_425_0_177 = all_423_0_175
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (3) with all_65_16_49, all_395_0_147, all_65_11_44 and discharging atoms p12(all_65_16_49) = all_395_0_147, p12(all_65_16_49) = all_65_11_44, yields:
% 214.07/169.06 | (638) all_395_0_147 = all_65_11_44
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (3) with all_65_16_49, all_395_0_147, all_423_0_175 and discharging atoms p12(all_65_16_49) = all_423_0_175, p12(all_65_16_49) = all_395_0_147, yields:
% 214.07/169.06 | (639) all_423_0_175 = all_395_0_147
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (3) with all_65_16_49, all_393_0_145, all_425_0_177 and discharging atoms p12(all_65_16_49) = all_425_0_177, p12(all_65_16_49) = all_393_0_145, yields:
% 214.07/169.06 | (640) all_425_0_177 = all_393_0_145
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (15) with all_65_16_49, all_419_0_171, all_421_0_173 and discharging atoms p10(all_65_16_49) = all_421_0_173, p10(all_65_16_49) = all_419_0_171, yields:
% 214.07/169.06 | (641) all_421_0_173 = all_419_0_171
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (15) with all_65_16_49, all_391_0_143, all_65_9_42 and discharging atoms p10(all_65_16_49) = all_391_0_143, p10(all_65_16_49) = all_65_9_42, yields:
% 214.07/169.06 | (642) all_391_0_143 = all_65_9_42
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (15) with all_65_16_49, all_391_0_143, all_419_0_171 and discharging atoms p10(all_65_16_49) = all_419_0_171, p10(all_65_16_49) = all_391_0_143, yields:
% 214.07/169.06 | (643) all_419_0_171 = all_391_0_143
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (15) with all_65_16_49, all_389_0_141, all_421_0_173 and discharging atoms p10(all_65_16_49) = all_421_0_173, p10(all_65_16_49) = all_389_0_141, yields:
% 214.07/169.06 | (644) all_421_0_173 = all_389_0_141
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (17) with all_65_16_49, all_415_0_167, all_417_0_169 and discharging atoms p8(all_65_16_49) = all_417_0_169, p8(all_65_16_49) = all_415_0_167, yields:
% 214.07/169.06 | (645) all_417_0_169 = all_415_0_167
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (17) with all_65_16_49, all_387_0_139, all_65_7_40 and discharging atoms p8(all_65_16_49) = all_387_0_139, p8(all_65_16_49) = all_65_7_40, yields:
% 214.07/169.06 | (646) all_387_0_139 = all_65_7_40
% 214.07/169.06 |
% 214.07/169.06 | Instantiating formula (17) with all_65_16_49, all_387_0_139, all_415_0_167 and discharging atoms p8(all_65_16_49) = all_415_0_167, p8(all_65_16_49) = all_387_0_139, yields:
% 214.07/169.06 | (647) all_415_0_167 = all_387_0_139
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (17) with all_65_16_49, all_385_0_137, all_417_0_169 and discharging atoms p8(all_65_16_49) = all_417_0_169, p8(all_65_16_49) = all_385_0_137, yields:
% 214.07/169.07 | (648) all_417_0_169 = all_385_0_137
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (1) with all_65_16_49, all_411_0_163, all_413_0_165 and discharging atoms p6(all_65_16_49) = all_413_0_165, p6(all_65_16_49) = all_411_0_163, yields:
% 214.07/169.07 | (649) all_413_0_165 = all_411_0_163
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (1) with all_65_16_49, all_383_0_135, all_65_5_38 and discharging atoms p6(all_65_16_49) = all_383_0_135, p6(all_65_16_49) = all_65_5_38, yields:
% 214.07/169.07 | (650) all_383_0_135 = all_65_5_38
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (1) with all_65_16_49, all_383_0_135, all_411_0_163 and discharging atoms p6(all_65_16_49) = all_411_0_163, p6(all_65_16_49) = all_383_0_135, yields:
% 214.07/169.07 | (651) all_411_0_163 = all_383_0_135
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (1) with all_65_16_49, all_381_0_133, all_413_0_165 and discharging atoms p6(all_65_16_49) = all_413_0_165, p6(all_65_16_49) = all_381_0_133, yields:
% 214.07/169.07 | (652) all_413_0_165 = all_381_0_133
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (6) with all_65_16_49, all_409_0_161, all_65_3_36 and discharging atoms p4(all_65_16_49) = all_409_0_161, p4(all_65_16_49) = all_65_3_36, yields:
% 214.07/169.07 | (653) all_409_0_161 = all_65_3_36
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (6) with all_65_16_49, all_379_0_131, all_409_0_161 and discharging atoms p4(all_65_16_49) = all_409_0_161, p4(all_65_16_49) = all_379_0_131, yields:
% 214.07/169.07 | (654) all_409_0_161 = all_379_0_131
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (6) with all_65_16_49, all_379_0_131, all_407_0_159 and discharging atoms p4(all_65_16_49) = all_407_0_159, p4(all_65_16_49) = all_379_0_131, yields:
% 214.07/169.07 | (655) all_407_0_159 = all_379_0_131
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (6) with all_65_16_49, all_377_0_129, all_407_0_159 and discharging atoms p4(all_65_16_49) = all_407_0_159, p4(all_65_16_49) = all_377_0_129, yields:
% 214.07/169.07 | (656) all_407_0_159 = all_377_0_129
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (18) with all_65_16_49, all_403_0_155, all_65_1_34 and discharging atoms p2(all_65_16_49) = all_403_0_155, p2(all_65_16_49) = all_65_1_34, yields:
% 214.07/169.07 | (657) all_403_0_155 = all_65_1_34
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (18) with all_65_16_49, all_403_0_155, all_405_0_157 and discharging atoms p2(all_65_16_49) = all_405_0_157, p2(all_65_16_49) = all_403_0_155, yields:
% 214.07/169.07 | (658) all_405_0_157 = all_403_0_155
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (18) with all_65_16_49, all_375_0_127, all_405_0_157 and discharging atoms p2(all_65_16_49) = all_405_0_157, p2(all_65_16_49) = all_375_0_127, yields:
% 214.07/169.07 | (659) all_405_0_157 = all_375_0_127
% 214.07/169.07 |
% 214.07/169.07 | Instantiating formula (18) with all_65_16_49, all_373_0_125, all_403_0_155 and discharging atoms p2(all_65_16_49) = all_403_0_155, p2(all_65_16_49) = all_373_0_125, yields:
% 214.07/169.07 | (660) all_403_0_155 = all_373_0_125
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (616,617) yields a new equation:
% 214.07/169.07 | (661) all_401_0_153 = all_65_14_47
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (634,633) yields a new equation:
% 214.07/169.07 | (662) all_427_0_179 = all_65_13_46
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 662 yields:
% 214.07/169.07 | (663) all_427_0_179 = all_65_13_46
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (635,663) yields a new equation:
% 214.07/169.07 | (664) all_399_0_151 = all_65_13_46
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 664 yields:
% 214.07/169.07 | (665) all_399_0_151 = all_65_13_46
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (637,640) yields a new equation:
% 214.07/169.07 | (666) all_423_0_175 = all_393_0_145
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 666 yields:
% 214.07/169.07 | (667) all_423_0_175 = all_393_0_145
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (639,667) yields a new equation:
% 214.07/169.07 | (668) all_395_0_147 = all_393_0_145
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 668 yields:
% 214.07/169.07 | (669) all_395_0_147 = all_393_0_145
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (641,644) yields a new equation:
% 214.07/169.07 | (670) all_419_0_171 = all_389_0_141
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 670 yields:
% 214.07/169.07 | (671) all_419_0_171 = all_389_0_141
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (643,671) yields a new equation:
% 214.07/169.07 | (672) all_391_0_143 = all_389_0_141
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 672 yields:
% 214.07/169.07 | (673) all_391_0_143 = all_389_0_141
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (645,648) yields a new equation:
% 214.07/169.07 | (674) all_415_0_167 = all_385_0_137
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 674 yields:
% 214.07/169.07 | (675) all_415_0_167 = all_385_0_137
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (647,675) yields a new equation:
% 214.07/169.07 | (676) all_387_0_139 = all_385_0_137
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 676 yields:
% 214.07/169.07 | (677) all_387_0_139 = all_385_0_137
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (649,652) yields a new equation:
% 214.07/169.07 | (678) all_411_0_163 = all_381_0_133
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 678 yields:
% 214.07/169.07 | (679) all_411_0_163 = all_381_0_133
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (651,679) yields a new equation:
% 214.07/169.07 | (680) all_383_0_135 = all_381_0_133
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 680 yields:
% 214.07/169.07 | (681) all_383_0_135 = all_381_0_133
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (654,653) yields a new equation:
% 214.07/169.07 | (682) all_379_0_131 = all_65_3_36
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 682 yields:
% 214.07/169.07 | (683) all_379_0_131 = all_65_3_36
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (655,656) yields a new equation:
% 214.07/169.07 | (684) all_379_0_131 = all_377_0_129
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 684 yields:
% 214.07/169.07 | (685) all_379_0_131 = all_377_0_129
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (658,659) yields a new equation:
% 214.07/169.07 | (686) all_403_0_155 = all_375_0_127
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 686 yields:
% 214.07/169.07 | (687) all_403_0_155 = all_375_0_127
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (660,687) yields a new equation:
% 214.07/169.07 | (688) all_375_0_127 = all_373_0_125
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (657,687) yields a new equation:
% 214.07/169.07 | (689) all_375_0_127 = all_65_1_34
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (624,619) yields a new equation:
% 214.07/169.07 | (690) all_397_1_150 = all_387_1_140
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (630,619) yields a new equation:
% 214.07/169.07 | (691) all_397_1_150 = all_377_1_130
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (636,665) yields a new equation:
% 214.07/169.07 | (692) all_397_0_149 = all_65_13_46
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 692 yields:
% 214.07/169.07 | (693) all_397_0_149 = all_65_13_46
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (620,618) yields a new equation:
% 214.07/169.07 | (694) all_393_1_146 = 0
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 694 yields:
% 214.07/169.07 | (695) all_393_1_146 = 0
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (690,691) yields a new equation:
% 214.07/169.07 | (696) all_387_1_140 = all_377_1_130
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 696 yields:
% 214.07/169.07 | (697) all_387_1_140 = all_377_1_130
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (638,669) yields a new equation:
% 214.07/169.07 | (698) all_393_0_145 = all_65_11_44
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (621,623) yields a new equation:
% 214.07/169.07 | (699) all_391_1_144 = all_389_1_142
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 699 yields:
% 214.07/169.07 | (700) all_391_1_144 = all_389_1_142
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (627,623) yields a new equation:
% 214.07/169.07 | (701) all_389_1_142 = all_381_1_134
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (622,695) yields a new equation:
% 214.07/169.07 | (702) all_391_1_144 = 0
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 702 yields:
% 214.07/169.07 | (703) all_391_1_144 = 0
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (642,673) yields a new equation:
% 214.07/169.07 | (704) all_389_0_141 = all_65_9_42
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (700,703) yields a new equation:
% 214.07/169.07 | (705) all_389_1_142 = 0
% 214.07/169.07 |
% 214.07/169.07 | Simplifying 705 yields:
% 214.07/169.07 | (706) all_389_1_142 = 0
% 214.07/169.07 |
% 214.07/169.07 | Combining equations (701,706) yields a new equation:
% 214.07/169.08 | (707) all_381_1_134 = 0
% 214.07/169.08 |
% 214.07/169.08 | Simplifying 707 yields:
% 214.07/169.08 | (708) all_381_1_134 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (646,677) yields a new equation:
% 214.07/169.08 | (709) all_385_0_137 = all_65_7_40
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (625,697) yields a new equation:
% 214.07/169.08 | (710) all_383_1_136 = all_377_1_130
% 214.07/169.08 |
% 214.07/169.08 | Simplifying 710 yields:
% 214.07/169.08 | (711) all_383_1_136 = all_377_1_130
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (628,631) yields a new equation:
% 214.07/169.08 | (712) all_381_1_134 = all_375_1_128
% 214.07/169.08 |
% 214.07/169.08 | Simplifying 712 yields:
% 214.07/169.08 | (713) all_381_1_134 = all_375_1_128
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (626,631) yields a new equation:
% 214.07/169.08 | (714) all_383_1_136 = all_375_1_128
% 214.07/169.08 |
% 214.07/169.08 | Simplifying 714 yields:
% 214.07/169.08 | (715) all_383_1_136 = all_375_1_128
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (650,681) yields a new equation:
% 214.07/169.08 | (716) all_381_0_133 = all_65_5_38
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (632,629) yields a new equation:
% 214.07/169.08 | (717) all_379_1_132 = all_373_1_126
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (711,629) yields a new equation:
% 214.07/169.08 | (718) all_379_1_132 = all_377_1_130
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (715,629) yields a new equation:
% 214.07/169.08 | (719) all_379_1_132 = all_375_1_128
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (713,708) yields a new equation:
% 214.07/169.08 | (720) all_375_1_128 = 0
% 214.07/169.08 |
% 214.07/169.08 | Simplifying 720 yields:
% 214.07/169.08 | (721) all_375_1_128 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (683,685) yields a new equation:
% 214.07/169.08 | (722) all_377_0_129 = all_65_3_36
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (717,718) yields a new equation:
% 214.07/169.08 | (723) all_377_1_130 = all_373_1_126
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (719,718) yields a new equation:
% 214.07/169.08 | (724) all_377_1_130 = all_375_1_128
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (724,723) yields a new equation:
% 214.07/169.08 | (725) all_375_1_128 = all_373_1_126
% 214.07/169.08 |
% 214.07/169.08 | Simplifying 725 yields:
% 214.07/169.08 | (726) all_375_1_128 = all_373_1_126
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (689,688) yields a new equation:
% 214.07/169.08 | (727) all_373_0_125 = all_65_1_34
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (721,726) yields a new equation:
% 214.07/169.08 | (728) all_373_1_126 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (728,726) yields a new equation:
% 214.07/169.08 | (721) all_375_1_128 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (727,688) yields a new equation:
% 214.07/169.08 | (689) all_375_0_127 = all_65_1_34
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (728,723) yields a new equation:
% 214.07/169.08 | (731) all_377_1_130 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (731,718) yields a new equation:
% 214.07/169.08 | (732) all_379_1_132 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (722,685) yields a new equation:
% 214.07/169.08 | (683) all_379_0_131 = all_65_3_36
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (732,629) yields a new equation:
% 214.07/169.08 | (734) all_383_1_136 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (716,681) yields a new equation:
% 214.07/169.08 | (650) all_383_0_135 = all_65_5_38
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (721,631) yields a new equation:
% 214.07/169.08 | (736) all_385_1_138 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (731,697) yields a new equation:
% 214.07/169.08 | (737) all_387_1_140 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (709,677) yields a new equation:
% 214.07/169.08 | (646) all_387_0_139 = all_65_7_40
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (704,673) yields a new equation:
% 214.07/169.08 | (642) all_391_0_143 = all_65_9_42
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (706,623) yields a new equation:
% 214.07/169.08 | (740) all_395_1_148 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (698,669) yields a new equation:
% 214.07/169.08 | (638) all_395_0_147 = all_65_11_44
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (731,691) yields a new equation:
% 214.07/169.08 | (742) all_397_1_150 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (742,619) yields a new equation:
% 214.07/169.08 | (743) all_401_1_154 = 0
% 214.07/169.08 |
% 214.07/169.08 +-Applying beta-rule and splitting (125), into two cases.
% 214.07/169.08 |-Branch one:
% 214.07/169.08 | (744) ~ (all_65_0_33 = 0)
% 214.07/169.08 |
% 214.07/169.08 +-Applying beta-rule and splitting (499), into two cases.
% 214.07/169.08 |-Branch one:
% 214.07/169.08 | (745) ~ (all_373_1_126 = 0)
% 214.07/169.08 |
% 214.07/169.08 | Equations (728) can reduce 745 to:
% 214.07/169.08 | (746) $false
% 214.07/169.08 |
% 214.07/169.08 |-The branch is then unsatisfiable
% 214.07/169.08 |-Branch two:
% 214.07/169.08 | (728) all_373_1_126 = 0
% 214.07/169.08 | (748) ( ~ (all_373_0_125 = 0) | ~ (all_65_0_33 = 0)) & (all_373_0_125 = 0 | all_65_0_33 = 0)
% 214.07/169.08 |
% 214.07/169.08 | Applying alpha-rule on (748) yields:
% 214.07/169.08 | (749) ~ (all_373_0_125 = 0) | ~ (all_65_0_33 = 0)
% 214.07/169.08 | (750) all_373_0_125 = 0 | all_65_0_33 = 0
% 214.07/169.08 |
% 214.07/169.08 +-Applying beta-rule and splitting (750), into two cases.
% 214.07/169.08 |-Branch one:
% 214.07/169.08 | (751) all_373_0_125 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (751,727) yields a new equation:
% 214.07/169.08 | (752) all_65_1_34 = 0
% 214.07/169.08 |
% 214.07/169.08 | Combining equations (752,689) yields a new equation:
% 214.07/169.08 | (753) all_375_0_127 = 0
% 214.07/169.08 |
% 214.07/169.08 +-Applying beta-rule and splitting (503), into two cases.
% 214.07/169.08 |-Branch one:
% 214.07/169.08 | (754) ~ (all_375_1_128 = 0)
% 214.07/169.08 |
% 214.07/169.08 | Equations (721) can reduce 754 to:
% 214.07/169.08 | (746) $false
% 214.07/169.08 |
% 214.07/169.08 |-The branch is then unsatisfiable
% 214.07/169.08 |-Branch two:
% 214.07/169.08 | (721) all_375_1_128 = 0
% 214.07/169.08 | (757) ( ~ (all_375_0_127 = 0) | ~ (all_65_2_35 = 0)) & (all_375_0_127 = 0 | all_65_2_35 = 0)
% 214.07/169.08 |
% 214.07/169.08 | Applying alpha-rule on (757) yields:
% 214.07/169.08 | (758) ~ (all_375_0_127 = 0) | ~ (all_65_2_35 = 0)
% 214.07/169.08 | (759) all_375_0_127 = 0 | all_65_2_35 = 0
% 214.07/169.08 |
% 214.07/169.08 +-Applying beta-rule and splitting (758), into two cases.
% 214.07/169.08 |-Branch one:
% 214.07/169.08 | (760) ~ (all_375_0_127 = 0)
% 214.07/169.08 |
% 214.07/169.08 | Equations (753) can reduce 760 to:
% 214.07/169.08 | (746) $false
% 214.07/169.08 |
% 214.07/169.08 |-The branch is then unsatisfiable
% 214.07/169.08 |-Branch two:
% 214.07/169.08 | (753) all_375_0_127 = 0
% 214.07/169.08 | (763) ~ (all_65_2_35 = 0)
% 214.07/169.08 |
% 214.07/169.08 +-Applying beta-rule and splitting (507), into two cases.
% 214.07/169.08 |-Branch one:
% 214.07/169.08 | (764) ~ (all_377_1_130 = 0)
% 214.07/169.08 |
% 214.07/169.08 | Equations (731) can reduce 764 to:
% 214.07/169.08 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (731) all_377_1_130 = 0
% 214.07/169.09 | (767) ( ~ (all_377_0_129 = 0) | ~ (all_65_2_35 = 0)) & (all_377_0_129 = 0 | all_65_2_35 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Applying alpha-rule on (767) yields:
% 214.07/169.09 | (768) ~ (all_377_0_129 = 0) | ~ (all_65_2_35 = 0)
% 214.07/169.09 | (769) all_377_0_129 = 0 | all_65_2_35 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (555), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (770) ~ (all_401_1_154 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (743) can reduce 770 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (743) all_401_1_154 = 0
% 214.07/169.09 | (773) ( ~ (all_401_0_153 = 0) | ~ (all_65_0_33 = 0)) & (all_401_0_153 = 0 | all_65_0_33 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Applying alpha-rule on (773) yields:
% 214.07/169.09 | (774) ~ (all_401_0_153 = 0) | ~ (all_65_0_33 = 0)
% 214.07/169.09 | (775) all_401_0_153 = 0 | all_65_0_33 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (769), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (776) all_377_0_129 = 0
% 214.07/169.09 |
% 214.07/169.09 | Combining equations (722,776) yields a new equation:
% 214.07/169.09 | (777) all_65_3_36 = 0
% 214.07/169.09 |
% 214.07/169.09 | Simplifying 777 yields:
% 214.07/169.09 | (778) all_65_3_36 = 0
% 214.07/169.09 |
% 214.07/169.09 | Combining equations (778,683) yields a new equation:
% 214.07/169.09 | (779) all_379_0_131 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (775), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (780) all_401_0_153 = 0
% 214.07/169.09 |
% 214.07/169.09 | Combining equations (780,661) yields a new equation:
% 214.07/169.09 | (781) all_65_14_47 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (551), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (782) ~ (all_399_1_152 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (618) can reduce 782 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (618) all_399_1_152 = 0
% 214.07/169.09 | (785) ( ~ (all_399_0_151 = 0) | ~ (all_65_14_47 = 0)) & (all_399_0_151 = 0 | all_65_14_47 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Applying alpha-rule on (785) yields:
% 214.07/169.09 | (786) ~ (all_399_0_151 = 0) | ~ (all_65_14_47 = 0)
% 214.07/169.09 | (787) all_399_0_151 = 0 | all_65_14_47 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (786), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (788) ~ (all_399_0_151 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (665) can reduce 788 to:
% 214.07/169.09 | (789) ~ (all_65_13_46 = 0)
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (511), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (790) ~ (all_379_1_132 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (732) can reduce 790 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (732) all_379_1_132 = 0
% 214.07/169.09 | (793) ( ~ (all_379_0_131 = 0) | ~ (all_65_4_37 = 0)) & (all_379_0_131 = 0 | all_65_4_37 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Applying alpha-rule on (793) yields:
% 214.07/169.09 | (794) ~ (all_379_0_131 = 0) | ~ (all_65_4_37 = 0)
% 214.07/169.09 | (795) all_379_0_131 = 0 | all_65_4_37 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (794), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (796) ~ (all_379_0_131 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (779) can reduce 796 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (779) all_379_0_131 = 0
% 214.07/169.09 | (799) ~ (all_65_4_37 = 0)
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (515), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (800) ~ (all_381_1_134 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (708) can reduce 800 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (708) all_381_1_134 = 0
% 214.07/169.09 | (803) ( ~ (all_381_0_133 = 0) | ~ (all_65_4_37 = 0)) & (all_381_0_133 = 0 | all_65_4_37 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Applying alpha-rule on (803) yields:
% 214.07/169.09 | (804) ~ (all_381_0_133 = 0) | ~ (all_65_4_37 = 0)
% 214.07/169.09 | (805) all_381_0_133 = 0 | all_65_4_37 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (547), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (806) ~ (all_397_1_150 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (742) can reduce 806 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (742) all_397_1_150 = 0
% 214.07/169.09 | (809) ( ~ (all_397_0_149 = 0) | ~ (all_65_12_45 = 0)) & (all_397_0_149 = 0 | all_65_12_45 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Applying alpha-rule on (809) yields:
% 214.07/169.09 | (810) ~ (all_397_0_149 = 0) | ~ (all_65_12_45 = 0)
% 214.07/169.09 | (811) all_397_0_149 = 0 | all_65_12_45 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (811), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (812) all_397_0_149 = 0
% 214.07/169.09 |
% 214.07/169.09 | Combining equations (693,812) yields a new equation:
% 214.07/169.09 | (813) all_65_13_46 = 0
% 214.07/169.09 |
% 214.07/169.09 | Simplifying 813 yields:
% 214.07/169.09 | (814) all_65_13_46 = 0
% 214.07/169.09 |
% 214.07/169.09 | Equations (814) can reduce 789 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (816) ~ (all_397_0_149 = 0)
% 214.07/169.09 | (817) all_65_12_45 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (805), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (818) all_381_0_133 = 0
% 214.07/169.09 |
% 214.07/169.09 | Combining equations (716,818) yields a new equation:
% 214.07/169.09 | (819) all_65_5_38 = 0
% 214.07/169.09 |
% 214.07/169.09 | Simplifying 819 yields:
% 214.07/169.09 | (820) all_65_5_38 = 0
% 214.07/169.09 |
% 214.07/169.09 | Combining equations (820,650) yields a new equation:
% 214.07/169.09 | (821) all_383_0_135 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (519), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (822) ~ (all_383_1_136 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (734) can reduce 822 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (734) all_383_1_136 = 0
% 214.07/169.09 | (825) ( ~ (all_383_0_135 = 0) | ~ (all_65_6_39 = 0)) & (all_383_0_135 = 0 | all_65_6_39 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Applying alpha-rule on (825) yields:
% 214.07/169.09 | (826) ~ (all_383_0_135 = 0) | ~ (all_65_6_39 = 0)
% 214.07/169.09 | (827) all_383_0_135 = 0 | all_65_6_39 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (543), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (828) ~ (all_395_1_148 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (740) can reduce 828 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (740) all_395_1_148 = 0
% 214.07/169.09 | (831) ( ~ (all_395_0_147 = 0) | ~ (all_65_12_45 = 0)) & (all_395_0_147 = 0 | all_65_12_45 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Applying alpha-rule on (831) yields:
% 214.07/169.09 | (832) ~ (all_395_0_147 = 0) | ~ (all_65_12_45 = 0)
% 214.07/169.09 | (833) all_395_0_147 = 0 | all_65_12_45 = 0
% 214.07/169.09 |
% 214.07/169.09 +-Applying beta-rule and splitting (826), into two cases.
% 214.07/169.09 |-Branch one:
% 214.07/169.09 | (834) ~ (all_383_0_135 = 0)
% 214.07/169.09 |
% 214.07/169.09 | Equations (821) can reduce 834 to:
% 214.07/169.09 | (746) $false
% 214.07/169.09 |
% 214.07/169.09 |-The branch is then unsatisfiable
% 214.07/169.09 |-Branch two:
% 214.07/169.09 | (821) all_383_0_135 = 0
% 214.07/169.09 | (837) ~ (all_65_6_39 = 0)
% 214.07/169.10 |
% 214.07/169.10 +-Applying beta-rule and splitting (523), into two cases.
% 214.07/169.10 |-Branch one:
% 214.07/169.10 | (838) ~ (all_385_1_138 = 0)
% 214.07/169.10 |
% 214.07/169.10 | Equations (736) can reduce 838 to:
% 214.07/169.10 | (746) $false
% 214.07/169.10 |
% 214.07/169.10 |-The branch is then unsatisfiable
% 214.07/169.10 |-Branch two:
% 214.07/169.10 | (736) all_385_1_138 = 0
% 214.07/169.10 | (841) ( ~ (all_385_0_137 = 0) | ~ (all_65_6_39 = 0)) & (all_385_0_137 = 0 | all_65_6_39 = 0)
% 214.07/169.10 |
% 214.07/169.10 | Applying alpha-rule on (841) yields:
% 214.07/169.10 | (842) ~ (all_385_0_137 = 0) | ~ (all_65_6_39 = 0)
% 214.07/169.10 | (843) all_385_0_137 = 0 | all_65_6_39 = 0
% 214.07/169.10 |
% 214.07/169.10 +-Applying beta-rule and splitting (832), into two cases.
% 214.07/169.10 |-Branch one:
% 214.07/169.10 | (844) ~ (all_395_0_147 = 0)
% 214.07/169.10 |
% 214.07/169.10 | Equations (638) can reduce 844 to:
% 214.07/169.10 | (845) ~ (all_65_11_44 = 0)
% 214.07/169.10 |
% 214.07/169.10 +-Applying beta-rule and splitting (539), into two cases.
% 214.07/169.10 |-Branch one:
% 214.07/169.10 | (846) ~ (all_393_1_146 = 0)
% 214.07/169.10 |
% 214.07/169.10 | Equations (695) can reduce 846 to:
% 214.07/169.10 | (746) $false
% 214.07/169.10 |
% 214.07/169.10 |-The branch is then unsatisfiable
% 214.07/169.10 |-Branch two:
% 214.07/169.10 | (695) all_393_1_146 = 0
% 214.07/169.10 | (849) ( ~ (all_393_0_145 = 0) | ~ (all_65_10_43 = 0)) & (all_393_0_145 = 0 | all_65_10_43 = 0)
% 214.07/169.10 |
% 214.07/169.10 | Applying alpha-rule on (849) yields:
% 214.07/169.10 | (850) ~ (all_393_0_145 = 0) | ~ (all_65_10_43 = 0)
% 214.07/169.10 | (851) all_393_0_145 = 0 | all_65_10_43 = 0
% 214.07/169.10 |
% 214.07/169.10 +-Applying beta-rule and splitting (851), into two cases.
% 214.07/169.10 |-Branch one:
% 214.07/169.10 | (852) all_393_0_145 = 0
% 214.07/169.10 |
% 214.07/169.10 | Combining equations (698,852) yields a new equation:
% 214.07/169.10 | (853) all_65_11_44 = 0
% 214.07/169.10 |
% 214.07/169.10 | Simplifying 853 yields:
% 214.07/169.10 | (854) all_65_11_44 = 0
% 214.07/169.10 |
% 214.07/169.10 | Equations (854) can reduce 845 to:
% 214.07/169.10 | (746) $false
% 214.07/169.10 |
% 214.07/169.10 |-The branch is then unsatisfiable
% 214.07/169.10 |-Branch two:
% 214.07/169.10 | (856) ~ (all_393_0_145 = 0)
% 214.07/169.10 | (857) all_65_10_43 = 0
% 214.07/169.10 |
% 214.39/169.10 +-Applying beta-rule and splitting (843), into two cases.
% 214.39/169.10 |-Branch one:
% 214.39/169.10 | (858) all_385_0_137 = 0
% 214.39/169.10 |
% 214.39/169.10 | Combining equations (709,858) yields a new equation:
% 214.39/169.10 | (859) all_65_7_40 = 0
% 214.39/169.10 |
% 214.39/169.10 | Simplifying 859 yields:
% 214.39/169.10 | (860) all_65_7_40 = 0
% 214.39/169.10 |
% 214.39/169.10 | Combining equations (860,646) yields a new equation:
% 214.39/169.10 | (861) all_387_0_139 = 0
% 214.39/169.10 |
% 214.39/169.10 +-Applying beta-rule and splitting (527), into two cases.
% 214.39/169.10 |-Branch one:
% 214.39/169.10 | (862) ~ (all_387_1_140 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Equations (737) can reduce 862 to:
% 214.39/169.10 | (746) $false
% 214.39/169.10 |
% 214.39/169.10 |-The branch is then unsatisfiable
% 214.39/169.10 |-Branch two:
% 214.39/169.10 | (737) all_387_1_140 = 0
% 214.39/169.10 | (865) ( ~ (all_387_0_139 = 0) | ~ (all_65_8_41 = 0)) & (all_387_0_139 = 0 | all_65_8_41 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Applying alpha-rule on (865) yields:
% 214.39/169.10 | (866) ~ (all_387_0_139 = 0) | ~ (all_65_8_41 = 0)
% 214.39/169.10 | (867) all_387_0_139 = 0 | all_65_8_41 = 0
% 214.39/169.10 |
% 214.39/169.10 +-Applying beta-rule and splitting (535), into two cases.
% 214.39/169.10 |-Branch one:
% 214.39/169.10 | (868) ~ (all_391_1_144 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Equations (703) can reduce 868 to:
% 214.39/169.10 | (746) $false
% 214.39/169.10 |
% 214.39/169.10 |-The branch is then unsatisfiable
% 214.39/169.10 |-Branch two:
% 214.39/169.10 | (703) all_391_1_144 = 0
% 214.39/169.10 | (871) ( ~ (all_391_0_143 = 0) | ~ (all_65_10_43 = 0)) & (all_391_0_143 = 0 | all_65_10_43 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Applying alpha-rule on (871) yields:
% 214.39/169.10 | (872) ~ (all_391_0_143 = 0) | ~ (all_65_10_43 = 0)
% 214.39/169.10 | (873) all_391_0_143 = 0 | all_65_10_43 = 0
% 214.39/169.10 |
% 214.39/169.10 +-Applying beta-rule and splitting (872), into two cases.
% 214.39/169.10 |-Branch one:
% 214.39/169.10 | (874) ~ (all_391_0_143 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Equations (642) can reduce 874 to:
% 214.39/169.10 | (875) ~ (all_65_9_42 = 0)
% 214.39/169.10 |
% 214.39/169.10 +-Applying beta-rule and splitting (531), into two cases.
% 214.39/169.10 |-Branch one:
% 214.39/169.10 | (876) ~ (all_389_1_142 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Equations (706) can reduce 876 to:
% 214.39/169.10 | (746) $false
% 214.39/169.10 |
% 214.39/169.10 |-The branch is then unsatisfiable
% 214.39/169.10 |-Branch two:
% 214.39/169.10 | (706) all_389_1_142 = 0
% 214.39/169.10 | (879) ( ~ (all_389_0_141 = 0) | ~ (all_65_8_41 = 0)) & (all_389_0_141 = 0 | all_65_8_41 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Applying alpha-rule on (879) yields:
% 214.39/169.10 | (880) ~ (all_389_0_141 = 0) | ~ (all_65_8_41 = 0)
% 214.39/169.10 | (881) all_389_0_141 = 0 | all_65_8_41 = 0
% 214.39/169.10 |
% 214.39/169.10 +-Applying beta-rule and splitting (881), into two cases.
% 214.39/169.10 |-Branch one:
% 214.39/169.10 | (882) all_389_0_141 = 0
% 214.39/169.10 |
% 214.39/169.10 | Combining equations (704,882) yields a new equation:
% 214.39/169.10 | (883) all_65_9_42 = 0
% 214.39/169.10 |
% 214.39/169.10 | Simplifying 883 yields:
% 214.39/169.10 | (884) all_65_9_42 = 0
% 214.39/169.10 |
% 214.39/169.10 | Equations (884) can reduce 875 to:
% 214.39/169.10 | (746) $false
% 214.39/169.10 |
% 214.39/169.10 |-The branch is then unsatisfiable
% 214.39/169.10 |-Branch two:
% 214.39/169.10 | (886) ~ (all_389_0_141 = 0)
% 214.39/169.10 | (887) all_65_8_41 = 0
% 214.39/169.10 |
% 214.39/169.10 +-Applying beta-rule and splitting (866), into two cases.
% 214.39/169.10 |-Branch one:
% 214.39/169.10 | (888) ~ (all_387_0_139 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Equations (861) can reduce 888 to:
% 214.39/169.10 | (746) $false
% 214.39/169.10 |
% 214.39/169.10 |-The branch is then unsatisfiable
% 214.39/169.10 |-Branch two:
% 214.39/169.10 | (861) all_387_0_139 = 0
% 214.39/169.10 | (891) ~ (all_65_8_41 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Equations (887) can reduce 891 to:
% 214.39/169.10 | (746) $false
% 214.39/169.10 |
% 214.39/169.10 |-The branch is then unsatisfiable
% 214.39/169.10 |-Branch two:
% 214.39/169.10 | (893) all_391_0_143 = 0
% 214.39/169.10 | (894) ~ (all_65_10_43 = 0)
% 214.39/169.10 |
% 214.39/169.10 | Equations (857) can reduce 894 to:
% 214.39/169.10 | (746) $false
% 214.39/169.10 |
% 214.39/169.10 |-The branch is then unsatisfiable
% 214.39/169.10 |-Branch two:
% 214.39/169.10 | (896) ~ (all_385_0_137 = 0)
% 214.39/169.10 | (897) all_65_6_39 = 0
% 214.39/169.10 |
% 214.39/169.10 | Equations (897) can reduce 837 to:
% 214.39/169.10 | (746) $false
% 214.39/169.10 |
% 214.39/169.10 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (899) all_395_0_147 = 0
% 214.39/169.11 | (900) ~ (all_65_12_45 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (817) can reduce 900 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (902) ~ (all_381_0_133 = 0)
% 214.39/169.11 | (903) all_65_4_37 = 0
% 214.39/169.11 |
% 214.39/169.11 | Equations (903) can reduce 799 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (905) all_399_0_151 = 0
% 214.39/169.11 | (906) ~ (all_65_14_47 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (781) can reduce 906 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (908) ~ (all_401_0_153 = 0)
% 214.39/169.11 | (909) all_65_0_33 = 0
% 214.39/169.11 |
% 214.39/169.11 | Equations (909) can reduce 744 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (911) ~ (all_377_0_129 = 0)
% 214.39/169.11 | (912) all_65_2_35 = 0
% 214.39/169.11 |
% 214.39/169.11 | Equations (912) can reduce 763 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (914) ~ (all_373_0_125 = 0)
% 214.39/169.11 | (909) all_65_0_33 = 0
% 214.39/169.11 |
% 214.39/169.11 | Equations (909) can reduce 744 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (909) all_65_0_33 = 0
% 214.39/169.11 | (918) ~ (all_65_1_34 = 0) | ~ (all_65_2_35 = 0) | ~ (all_65_3_36 = 0) | ~ (all_65_4_37 = 0) | ~ (all_65_5_38 = 0) | ~ (all_65_6_39 = 0) | ~ (all_65_7_40 = 0) | ~ (all_65_8_41 = 0) | ~ (all_65_9_42 = 0) | ~ (all_65_10_43 = 0) | ~ (all_65_11_44 = 0) | ~ (all_65_12_45 = 0) | ~ (all_65_13_46 = 0) | ~ (all_65_14_47 = 0) | ~ (all_65_15_48 = 0)
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (555), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (770) ~ (all_401_1_154 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (743) can reduce 770 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (743) all_401_1_154 = 0
% 214.39/169.11 | (773) ( ~ (all_401_0_153 = 0) | ~ (all_65_0_33 = 0)) & (all_401_0_153 = 0 | all_65_0_33 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Applying alpha-rule on (773) yields:
% 214.39/169.11 | (774) ~ (all_401_0_153 = 0) | ~ (all_65_0_33 = 0)
% 214.39/169.11 | (775) all_401_0_153 = 0 | all_65_0_33 = 0
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (499), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (745) ~ (all_373_1_126 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (728) can reduce 745 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (728) all_373_1_126 = 0
% 214.39/169.11 | (748) ( ~ (all_373_0_125 = 0) | ~ (all_65_0_33 = 0)) & (all_373_0_125 = 0 | all_65_0_33 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Applying alpha-rule on (748) yields:
% 214.39/169.11 | (749) ~ (all_373_0_125 = 0) | ~ (all_65_0_33 = 0)
% 214.39/169.11 | (750) all_373_0_125 = 0 | all_65_0_33 = 0
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (774), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (908) ~ (all_401_0_153 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (661) can reduce 908 to:
% 214.39/169.11 | (906) ~ (all_65_14_47 = 0)
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (551), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (782) ~ (all_399_1_152 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (618) can reduce 782 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (618) all_399_1_152 = 0
% 214.39/169.11 | (785) ( ~ (all_399_0_151 = 0) | ~ (all_65_14_47 = 0)) & (all_399_0_151 = 0 | all_65_14_47 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Applying alpha-rule on (785) yields:
% 214.39/169.11 | (786) ~ (all_399_0_151 = 0) | ~ (all_65_14_47 = 0)
% 214.39/169.11 | (787) all_399_0_151 = 0 | all_65_14_47 = 0
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (787), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (905) all_399_0_151 = 0
% 214.39/169.11 |
% 214.39/169.11 | Combining equations (665,905) yields a new equation:
% 214.39/169.11 | (813) all_65_13_46 = 0
% 214.39/169.11 |
% 214.39/169.11 | Simplifying 813 yields:
% 214.39/169.11 | (814) all_65_13_46 = 0
% 214.39/169.11 |
% 214.39/169.11 | Combining equations (814,693) yields a new equation:
% 214.39/169.11 | (812) all_397_0_149 = 0
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (547), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (806) ~ (all_397_1_150 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (742) can reduce 806 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (742) all_397_1_150 = 0
% 214.39/169.11 | (809) ( ~ (all_397_0_149 = 0) | ~ (all_65_12_45 = 0)) & (all_397_0_149 = 0 | all_65_12_45 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Applying alpha-rule on (809) yields:
% 214.39/169.11 | (810) ~ (all_397_0_149 = 0) | ~ (all_65_12_45 = 0)
% 214.39/169.11 | (811) all_397_0_149 = 0 | all_65_12_45 = 0
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (810), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (816) ~ (all_397_0_149 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (812) can reduce 816 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (812) all_397_0_149 = 0
% 214.39/169.11 | (900) ~ (all_65_12_45 = 0)
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (749), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (914) ~ (all_373_0_125 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (727) can reduce 914 to:
% 214.39/169.11 | (954) ~ (all_65_1_34 = 0)
% 214.39/169.11 |
% 214.39/169.11 +-Applying beta-rule and splitting (503), into two cases.
% 214.39/169.11 |-Branch one:
% 214.39/169.11 | (754) ~ (all_375_1_128 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Equations (721) can reduce 754 to:
% 214.39/169.11 | (746) $false
% 214.39/169.11 |
% 214.39/169.11 |-The branch is then unsatisfiable
% 214.39/169.11 |-Branch two:
% 214.39/169.11 | (721) all_375_1_128 = 0
% 214.39/169.11 | (757) ( ~ (all_375_0_127 = 0) | ~ (all_65_2_35 = 0)) & (all_375_0_127 = 0 | all_65_2_35 = 0)
% 214.39/169.11 |
% 214.39/169.11 | Applying alpha-rule on (757) yields:
% 214.39/169.11 | (758) ~ (all_375_0_127 = 0) | ~ (all_65_2_35 = 0)
% 214.39/169.12 | (759) all_375_0_127 = 0 | all_65_2_35 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (543), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (828) ~ (all_395_1_148 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (740) can reduce 828 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (740) all_395_1_148 = 0
% 214.39/169.12 | (831) ( ~ (all_395_0_147 = 0) | ~ (all_65_12_45 = 0)) & (all_395_0_147 = 0 | all_65_12_45 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (831) yields:
% 214.39/169.12 | (832) ~ (all_395_0_147 = 0) | ~ (all_65_12_45 = 0)
% 214.39/169.12 | (833) all_395_0_147 = 0 | all_65_12_45 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (759), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (753) all_375_0_127 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (689,753) yields a new equation:
% 214.39/169.12 | (968) all_65_1_34 = 0
% 214.39/169.12 |
% 214.39/169.12 | Simplifying 968 yields:
% 214.39/169.12 | (752) all_65_1_34 = 0
% 214.39/169.12 |
% 214.39/169.12 | Equations (752) can reduce 954 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (760) ~ (all_375_0_127 = 0)
% 214.39/169.12 | (912) all_65_2_35 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (507), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (764) ~ (all_377_1_130 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (731) can reduce 764 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (731) all_377_1_130 = 0
% 214.39/169.12 | (767) ( ~ (all_377_0_129 = 0) | ~ (all_65_2_35 = 0)) & (all_377_0_129 = 0 | all_65_2_35 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (767) yields:
% 214.39/169.12 | (768) ~ (all_377_0_129 = 0) | ~ (all_65_2_35 = 0)
% 214.39/169.12 | (769) all_377_0_129 = 0 | all_65_2_35 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (833), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (899) all_395_0_147 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (638,899) yields a new equation:
% 214.39/169.12 | (853) all_65_11_44 = 0
% 214.39/169.12 |
% 214.39/169.12 | Simplifying 853 yields:
% 214.39/169.12 | (854) all_65_11_44 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (854,698) yields a new equation:
% 214.39/169.12 | (852) all_393_0_145 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (539), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (846) ~ (all_393_1_146 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (695) can reduce 846 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (695) all_393_1_146 = 0
% 214.39/169.12 | (849) ( ~ (all_393_0_145 = 0) | ~ (all_65_10_43 = 0)) & (all_393_0_145 = 0 | all_65_10_43 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (849) yields:
% 214.39/169.12 | (850) ~ (all_393_0_145 = 0) | ~ (all_65_10_43 = 0)
% 214.39/169.12 | (851) all_393_0_145 = 0 | all_65_10_43 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (768), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (911) ~ (all_377_0_129 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (722) can reduce 911 to:
% 214.39/169.12 | (990) ~ (all_65_3_36 = 0)
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (850), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (856) ~ (all_393_0_145 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (852) can reduce 856 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (852) all_393_0_145 = 0
% 214.39/169.12 | (894) ~ (all_65_10_43 = 0)
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (535), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (868) ~ (all_391_1_144 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (703) can reduce 868 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (703) all_391_1_144 = 0
% 214.39/169.12 | (871) ( ~ (all_391_0_143 = 0) | ~ (all_65_10_43 = 0)) & (all_391_0_143 = 0 | all_65_10_43 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (871) yields:
% 214.39/169.12 | (872) ~ (all_391_0_143 = 0) | ~ (all_65_10_43 = 0)
% 214.39/169.12 | (873) all_391_0_143 = 0 | all_65_10_43 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (511), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (790) ~ (all_379_1_132 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (732) can reduce 790 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (732) all_379_1_132 = 0
% 214.39/169.12 | (793) ( ~ (all_379_0_131 = 0) | ~ (all_65_4_37 = 0)) & (all_379_0_131 = 0 | all_65_4_37 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (793) yields:
% 214.39/169.12 | (794) ~ (all_379_0_131 = 0) | ~ (all_65_4_37 = 0)
% 214.39/169.12 | (795) all_379_0_131 = 0 | all_65_4_37 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (873), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (893) all_391_0_143 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (642,893) yields a new equation:
% 214.39/169.12 | (883) all_65_9_42 = 0
% 214.39/169.12 |
% 214.39/169.12 | Simplifying 883 yields:
% 214.39/169.12 | (884) all_65_9_42 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (884,704) yields a new equation:
% 214.39/169.12 | (882) all_389_0_141 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (531), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (876) ~ (all_389_1_142 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (706) can reduce 876 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (706) all_389_1_142 = 0
% 214.39/169.12 | (879) ( ~ (all_389_0_141 = 0) | ~ (all_65_8_41 = 0)) & (all_389_0_141 = 0 | all_65_8_41 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (879) yields:
% 214.39/169.12 | (880) ~ (all_389_0_141 = 0) | ~ (all_65_8_41 = 0)
% 214.39/169.12 | (881) all_389_0_141 = 0 | all_65_8_41 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (795), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (779) all_379_0_131 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (683,779) yields a new equation:
% 214.39/169.12 | (777) all_65_3_36 = 0
% 214.39/169.12 |
% 214.39/169.12 | Simplifying 777 yields:
% 214.39/169.12 | (778) all_65_3_36 = 0
% 214.39/169.12 |
% 214.39/169.12 | Equations (778) can reduce 990 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (796) ~ (all_379_0_131 = 0)
% 214.39/169.12 | (903) all_65_4_37 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (515), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (800) ~ (all_381_1_134 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (708) can reduce 800 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (708) all_381_1_134 = 0
% 214.39/169.12 | (803) ( ~ (all_381_0_133 = 0) | ~ (all_65_4_37 = 0)) & (all_381_0_133 = 0 | all_65_4_37 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (803) yields:
% 214.39/169.12 | (804) ~ (all_381_0_133 = 0) | ~ (all_65_4_37 = 0)
% 214.39/169.12 | (805) all_381_0_133 = 0 | all_65_4_37 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (804), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (902) ~ (all_381_0_133 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (716) can reduce 902 to:
% 214.39/169.12 | (1030) ~ (all_65_5_38 = 0)
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (519), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (822) ~ (all_383_1_136 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (734) can reduce 822 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (734) all_383_1_136 = 0
% 214.39/169.12 | (825) ( ~ (all_383_0_135 = 0) | ~ (all_65_6_39 = 0)) & (all_383_0_135 = 0 | all_65_6_39 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (825) yields:
% 214.39/169.12 | (826) ~ (all_383_0_135 = 0) | ~ (all_65_6_39 = 0)
% 214.39/169.12 | (827) all_383_0_135 = 0 | all_65_6_39 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (880), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (886) ~ (all_389_0_141 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (882) can reduce 886 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (882) all_389_0_141 = 0
% 214.39/169.12 | (891) ~ (all_65_8_41 = 0)
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (527), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (862) ~ (all_387_1_140 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (737) can reduce 862 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (737) all_387_1_140 = 0
% 214.39/169.12 | (865) ( ~ (all_387_0_139 = 0) | ~ (all_65_8_41 = 0)) & (all_387_0_139 = 0 | all_65_8_41 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (865) yields:
% 214.39/169.12 | (866) ~ (all_387_0_139 = 0) | ~ (all_65_8_41 = 0)
% 214.39/169.12 | (867) all_387_0_139 = 0 | all_65_8_41 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (867), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (861) all_387_0_139 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (646,861) yields a new equation:
% 214.39/169.12 | (859) all_65_7_40 = 0
% 214.39/169.12 |
% 214.39/169.12 | Simplifying 859 yields:
% 214.39/169.12 | (860) all_65_7_40 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (860,709) yields a new equation:
% 214.39/169.12 | (858) all_385_0_137 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (523), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (838) ~ (all_385_1_138 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (736) can reduce 838 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (736) all_385_1_138 = 0
% 214.39/169.12 | (841) ( ~ (all_385_0_137 = 0) | ~ (all_65_6_39 = 0)) & (all_385_0_137 = 0 | all_65_6_39 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Applying alpha-rule on (841) yields:
% 214.39/169.12 | (842) ~ (all_385_0_137 = 0) | ~ (all_65_6_39 = 0)
% 214.39/169.12 | (843) all_385_0_137 = 0 | all_65_6_39 = 0
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (842), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (896) ~ (all_385_0_137 = 0)
% 214.39/169.12 |
% 214.39/169.12 | Equations (858) can reduce 896 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (858) all_385_0_137 = 0
% 214.39/169.12 | (837) ~ (all_65_6_39 = 0)
% 214.39/169.12 |
% 214.39/169.12 +-Applying beta-rule and splitting (827), into two cases.
% 214.39/169.12 |-Branch one:
% 214.39/169.12 | (821) all_383_0_135 = 0
% 214.39/169.12 |
% 214.39/169.12 | Combining equations (650,821) yields a new equation:
% 214.39/169.12 | (819) all_65_5_38 = 0
% 214.39/169.12 |
% 214.39/169.12 | Simplifying 819 yields:
% 214.39/169.12 | (820) all_65_5_38 = 0
% 214.39/169.12 |
% 214.39/169.12 | Equations (820) can reduce 1030 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (834) ~ (all_383_0_135 = 0)
% 214.39/169.12 | (897) all_65_6_39 = 0
% 214.39/169.12 |
% 214.39/169.12 | Equations (897) can reduce 837 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (888) ~ (all_387_0_139 = 0)
% 214.39/169.12 | (887) all_65_8_41 = 0
% 214.39/169.12 |
% 214.39/169.12 | Equations (887) can reduce 891 to:
% 214.39/169.12 | (746) $false
% 214.39/169.12 |
% 214.39/169.12 |-The branch is then unsatisfiable
% 214.39/169.12 |-Branch two:
% 214.39/169.12 | (818) all_381_0_133 = 0
% 214.39/169.12 | (799) ~ (all_65_4_37 = 0)
% 214.39/169.13 |
% 214.39/169.13 | Equations (903) can reduce 799 to:
% 214.39/169.13 | (746) $false
% 214.39/169.13 |
% 214.39/169.13 |-The branch is then unsatisfiable
% 214.39/169.13 |-Branch two:
% 214.39/169.13 | (874) ~ (all_391_0_143 = 0)
% 214.39/169.13 | (857) all_65_10_43 = 0
% 214.39/169.13 |
% 214.39/169.13 | Equations (857) can reduce 894 to:
% 214.39/169.13 | (746) $false
% 214.39/169.13 |
% 214.39/169.13 |-The branch is then unsatisfiable
% 214.39/169.13 |-Branch two:
% 214.39/169.13 | (776) all_377_0_129 = 0
% 214.39/169.13 | (763) ~ (all_65_2_35 = 0)
% 214.39/169.13 |
% 214.39/169.13 | Equations (912) can reduce 763 to:
% 214.39/169.13 | (746) $false
% 214.39/169.13 |
% 214.39/169.13 |-The branch is then unsatisfiable
% 214.39/169.13 |-Branch two:
% 214.39/169.13 | (844) ~ (all_395_0_147 = 0)
% 214.39/169.13 | (817) all_65_12_45 = 0
% 214.39/169.13 |
% 214.39/169.13 | Equations (817) can reduce 900 to:
% 214.39/169.13 | (746) $false
% 214.39/169.13 |
% 214.39/169.13 |-The branch is then unsatisfiable
% 214.39/169.13 |-Branch two:
% 214.39/169.13 | (751) all_373_0_125 = 0
% 214.39/169.13 | (744) ~ (all_65_0_33 = 0)
% 214.39/169.13 |
% 214.39/169.13 | Equations (909) can reduce 744 to:
% 214.39/169.13 | (746) $false
% 214.39/169.13 |
% 214.39/169.13 |-The branch is then unsatisfiable
% 214.39/169.13 |-Branch two:
% 214.39/169.13 | (788) ~ (all_399_0_151 = 0)
% 214.39/169.13 | (781) all_65_14_47 = 0
% 214.39/169.13 |
% 214.39/169.13 | Equations (781) can reduce 906 to:
% 214.39/169.13 | (746) $false
% 214.39/169.13 |
% 214.39/169.13 |-The branch is then unsatisfiable
% 214.39/169.13 |-Branch two:
% 214.39/169.13 | (780) all_401_0_153 = 0
% 214.39/169.13 | (744) ~ (all_65_0_33 = 0)
% 214.39/169.13 |
% 214.39/169.13 | Equations (909) can reduce 744 to:
% 214.39/169.13 | (746) $false
% 214.39/169.13 |
% 214.39/169.13 |-The branch is then unsatisfiable
% 214.39/169.13 % SZS output end Proof for theBenchmark
% 214.39/169.13
% 214.39/169.13 168527ms
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