TSTP Solution File: PUZ133+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PUZ133+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 : Mon Jul 18 18:08:59 EDT 2022
% Result : Theorem 75.28s 37.14s
% Output : Proof 208.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ133+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n017.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 : Sat May 28 22:08:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.49/0.59 ____ _
% 0.49/0.59 ___ / __ \_____(_)___ ________ __________
% 0.49/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.49/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.49/0.59
% 0.49/0.59 A Theorem Prover for First-Order Logic
% 0.49/0.59 (ePrincess v.1.0)
% 0.49/0.59
% 0.49/0.59 (c) Philipp Rümmer, 2009-2015
% 0.49/0.59 (c) Peter Backeman, 2014-2015
% 0.49/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.59 Bug reports to peter@backeman.se
% 0.49/0.59
% 0.49/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.59
% 0.49/0.59 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
% 1.38/0.91 Prover 0: Preprocessing ...
% 2.73/1.27 Prover 0: Warning: ignoring some quantifiers
% 2.73/1.30 Prover 0: Constructing countermodel ...
% 18.47/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.60/5.97 Prover 1: Preprocessing ...
% 19.17/6.08 Prover 1: Constructing countermodel ...
% 28.66/8.53 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 28.66/8.56 Prover 2: Preprocessing ...
% 28.81/8.64 Prover 2: Warning: ignoring some quantifiers
% 28.81/8.64 Prover 2: Constructing countermodel ...
% 36.51/11.56 Prover 0: stopped
% 36.87/11.76 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 36.87/11.78 Prover 3: Preprocessing ...
% 36.87/11.82 Prover 3: Warning: ignoring some quantifiers
% 36.87/11.82 Prover 3: Constructing countermodel ...
% 45.74/16.01 Prover 3: gave up
% 45.74/16.01 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 45.74/16.02 Prover 4: Preprocessing ...
% 46.03/16.07 Prover 4: Warning: ignoring some quantifiers
% 46.03/16.07 Prover 4: Constructing countermodel ...
% 75.28/37.14 Prover 4: proved (7594ms)
% 75.28/37.14 Prover 1: stopped
% 75.28/37.14 Prover 2: stopped
% 75.28/37.14
% 75.28/37.14 No countermodel exists, formula is valid
% 75.28/37.14 % SZS status Theorem for theBenchmark
% 75.28/37.14
% 75.28/37.14 Generating proof ... Warning: ignoring some quantifiers
% 207.44/137.86 found it (size 700)
% 207.44/137.86
% 207.44/137.86 % SZS output start Proof for theBenchmark
% 207.44/137.86 Assumed formulas after preprocessing and simplification:
% 207.44/137.86 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (q(v2) = v8 & q(v1) = v7 & plus(v8, v2) = v10 & plus(v7, v1) = v9 & le(v5, v6) = 0 & le(v3, v2) = 0 & le(v2, n) = 0 & le(v1, n) = 0 & le(v0, v1) = 0 & s(v4) = v5 & s(v1) = v3 & s(n) = v13 & s(n0) = v0 & perm(v2) = v4 & perm(v1) = v6 & minus(v8, v2) = v12 & minus(v7, v1) = v11 & queens_p & ~ queens_q & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (plus(v16, v17) = v19) | ~ (plus(v14, v15) = v18) | ? [v20] : ? [v21] : ( ~ (v21 = v20) & minus(v17, v15) = v21 & minus(v14, v16) = v20)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (minus(v17, v15) = v19) | ~ (minus(v14, v16) = v18) | ? [v20] : ? [v21] : ( ~ (v21 = v20) & plus(v16, v17) = v21 & plus(v14, v15) = v20)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (minus(v16, v17) = v19) | ~ (minus(v14, v15) = v18) | ? [v20] : ? [v21] : ( ~ (v21 = v20) & minus(v15, v17) = v21 & minus(v14, v16) = v20)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (minus(v15, v17) = v19) | ~ (minus(v14, v16) = v18) | ? [v20] : ? [v21] : ( ~ (v21 = v20) & minus(v16, v17) = v21 & minus(v14, v15) = v20)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (plus(v16, v17) = v18) | ~ (plus(v14, v15) = v18) | ? [v19] : (minus(v17, v15) = v19 & minus(v14, v16) = v19)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (perm(v15) = v17) | ~ (perm(v14) = v16) | ~ (minus(v16, v17) = v18) | minus(v15, v14) = v18) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (minus(v17, v15) = v18) | ~ (minus(v14, v16) = v18) | ? [v19] : (plus(v16, v17) = v19 & plus(v14, v15) = v19)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (minus(v16, v17) = v18) | ~ (minus(v14, v15) = v18) | ? [v19] : (minus(v15, v17) = v19 & minus(v14, v16) = v19)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (minus(v15, v17) = v18) | ~ (minus(v14, v16) = v18) | ? [v19] : (minus(v16, v17) = v19 & minus(v14, v15) = v19)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (le(v15, v16) = 0) | ~ (le(v14, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & le(v14, v15) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (le(v14, v16) = v17) | ~ (le(v14, v15) = 0) | ? [v18] : ( ~ (v18 = 0) & le(v15, v16) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (plus(v17, v16) = v15) | ~ (plus(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (le(v17, v16) = v15) | ~ (le(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (minus(v17, v16) = v15) | ~ (minus(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (q(v16) = v15) | ~ (q(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (p(v16) = v15) | ~ (p(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (s(v16) = v15) | ~ (s(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (perm(v16) = v15) | ~ (perm(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (le(v16, v15) = 0) | ~ (s(v14) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (p(v15) = v21 & p(v14) = v20 & plus(v21, v15) = v23 & plus(v20, v14) = v22 & le(v15, n) = v19 & le(v14, n) = v18 & le(v0, v14) = v17 & minus(v21, v15) = v25 & minus(v20, v14) = v24 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ( ~ (v25 = v24) & ~ (v23 = v22) & ~ (v21 = v20))))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (le(v15, v16) = 0) | ~ (le(v14, v15) = 0) | le(v14, v16) = 0) & ! [v14] : ! [v15] : ! [v16] : ( ~ (minus(v15, v14) = v16) | ? [v17] : ? [v18] : (perm(v15) = v18 & perm(v14) = v17 & minus(v17, v18) = v16)) & ! [v14] : ! [v15] : ( ~ (q(v14) = v15) | ? [v16] : (p(v16) = v15 & perm(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (s(v14) = v15) | le(v14, v15) = 0) & ! [v14] : ! [v15] : ( ~ (perm(v14) = v15) | minus(v13, v14) = v15) & ! [v14] : ! [v15] : ( ~ (perm(v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (le(v15, n) = v19 & le(v14, n) = v17 & le(v0, v15) = v18 & le(v0, v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | (v19 = 0 & v18 = 0)))) & ! [v14] : ! [v15] : ( ~ (perm(v14) = v15) | ? [v16] : (q(v14) = v16 & p(v15) = v16)) & ! [v14] : ! [v15] : ( ~ (minus(v13, v14) = v15) | perm(v14) = v15) & ! [v14] : ( ~ (le(v14, n) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (le(v16, n) = v18 & le(v0, v16) = v17 & le(v0, v14) = v15 & perm(v14) = v16 & ( ~ (v15 = 0) | (v18 = 0 & v17 = 0)))) & ! [v14] : ( ~ (le(v0, v14) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (le(v16, n) = v18 & le(v14, n) = v15 & le(v0, v16) = v17 & perm(v14) = v16 & ( ~ (v15 = 0) | (v18 = 0 & v17 = 0)))) & ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (plus(v16, v17) = v21 & plus(v14, v15) = v20 & minus(v17, v15) = v19 & minus(v14, v16) = v18 & ( ~ (v19 = v18) | v21 = v20)) & ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (le(v15, v16) = v18 & le(v14, v16) = v19 & le(v14, v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | v19 = 0)) & ? [v14] : ? [v15] : ? [v16] : (q(v14) = v15 & p(v16) = v15 & perm(v14) = v16) & ? [v14] : ? [v15] : (le(v14, v15) = 0 & s(v14) = v15) & (v12 = v11 | v10 = v9 | v8 = v7))
% 207.64/137.90 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13 yields:
% 207.64/137.90 | (1) q(all_0_11_11) = all_0_5_5 & q(all_0_12_12) = all_0_6_6 & plus(all_0_5_5, all_0_11_11) = all_0_3_3 & plus(all_0_6_6, all_0_12_12) = all_0_4_4 & le(all_0_8_8, all_0_7_7) = 0 & le(all_0_10_10, all_0_11_11) = 0 & le(all_0_11_11, n) = 0 & le(all_0_12_12, n) = 0 & le(all_0_13_13, all_0_12_12) = 0 & s(all_0_9_9) = all_0_8_8 & s(all_0_12_12) = all_0_10_10 & s(n) = all_0_0_0 & s(n0) = all_0_13_13 & perm(all_0_11_11) = all_0_9_9 & perm(all_0_12_12) = all_0_7_7 & minus(all_0_5_5, all_0_11_11) = all_0_1_1 & minus(all_0_6_6, all_0_12_12) = all_0_2_2 & queens_p & ~ queens_q & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (plus(v2, v3) = v5) | ~ (plus(v0, v1) = v4) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & minus(v3, v1) = v7 & minus(v0, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (minus(v3, v1) = v5) | ~ (minus(v0, v2) = v4) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & plus(v2, v3) = v7 & plus(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (minus(v2, v3) = v5) | ~ (minus(v0, v1) = v4) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & minus(v1, v3) = v7 & minus(v0, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (minus(v1, v3) = v5) | ~ (minus(v0, v2) = v4) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & minus(v2, v3) = v7 & minus(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus(v2, v3) = v4) | ~ (plus(v0, v1) = v4) | ? [v5] : (minus(v3, v1) = v5 & minus(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (perm(v1) = v3) | ~ (perm(v0) = v2) | ~ (minus(v2, v3) = v4) | minus(v1, v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (minus(v3, v1) = v4) | ~ (minus(v0, v2) = v4) | ? [v5] : (plus(v2, v3) = v5 & plus(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (minus(v2, v3) = v4) | ~ (minus(v0, v1) = v4) | ? [v5] : (minus(v1, v3) = v5 & minus(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (minus(v1, v3) = v4) | ~ (minus(v0, v2) = v4) | ? [v5] : (minus(v2, v3) = v5 & minus(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (le(v1, v2) = 0) | ~ (le(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & le(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (le(v0, v2) = v3) | ~ (le(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & le(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (le(v3, v2) = v1) | ~ (le(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (q(v2) = v1) | ~ (q(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (perm(v2) = v1) | ~ (perm(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (le(v2, v1) = 0) | ~ (s(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (p(v1) = v7 & p(v0) = v6 & plus(v7, v1) = v9 & plus(v6, v0) = v8 & le(v1, n) = v5 & le(v0, n) = v4 & le(all_0_13_13, v0) = v3 & minus(v7, v1) = v11 & minus(v6, v0) = v10 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ( ~ (v11 = v10) & ~ (v9 = v8) & ~ (v7 = v6))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (le(v1, v2) = 0) | ~ (le(v0, v1) = 0) | le(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v1, v0) = v2) | ? [v3] : ? [v4] : (perm(v1) = v4 & perm(v0) = v3 & minus(v3, v4) = v2)) & ! [v0] : ! [v1] : ( ~ (q(v0) = v1) | ? [v2] : (p(v2) = v1 & perm(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (s(v0) = v1) | le(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (perm(v0) = v1) | minus(all_0_0_0, v0) = v1) & ! [v0] : ! [v1] : ( ~ (perm(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (le(v1, n) = v5 & le(v0, n) = v3 & le(all_0_13_13, v1) = v4 & le(all_0_13_13, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ( ~ (perm(v0) = v1) | ? [v2] : (q(v0) = v2 & p(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (minus(all_0_0_0, v0) = v1) | perm(v0) = v1) & ! [v0] : ( ~ (le(v0, n) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (le(v2, n) = v4 & le(all_0_13_13, v2) = v3 & le(all_0_13_13, v0) = v1 & perm(v0) = v2 & ( ~ (v1 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0] : ( ~ (le(all_0_13_13, v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (le(v2, n) = v4 & le(v0, n) = v1 & le(all_0_13_13, v2) = v3 & perm(v0) = v2 & ( ~ (v1 = 0) | (v4 = 0 & v3 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (plus(v2, v3) = v7 & plus(v0, v1) = v6 & minus(v3, v1) = v5 & minus(v0, v2) = v4 & ( ~ (v5 = v4) | v7 = v6)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (le(v1, v2) = v4 & le(v0, v2) = v5 & le(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : (q(v0) = v1 & p(v2) = v1 & perm(v0) = v2) & ? [v0] : ? [v1] : (le(v0, v1) = 0 & s(v0) = v1) & (all_0_1_1 = all_0_2_2 | all_0_3_3 = all_0_4_4 | all_0_5_5 = all_0_6_6)
% 207.64/137.92 |
% 207.64/137.92 | Applying alpha-rule on (1) yields:
% 207.64/137.92 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (le(v1, v2) = 0) | ~ (le(v0, v1) = 0) | le(v0, v2) = 0)
% 207.64/137.92 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (perm(v1) = v3) | ~ (perm(v0) = v2) | ~ (minus(v2, v3) = v4) | minus(v1, v0) = v4)
% 207.64/137.92 | (4) ! [v0] : ! [v1] : ( ~ (perm(v0) = v1) | ? [v2] : (q(v0) = v2 & p(v1) = v2))
% 207.64/137.92 | (5) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (le(v1, v2) = v4 & le(v0, v2) = v5 & le(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))
% 207.64/137.92 | (6) s(n) = all_0_0_0
% 207.64/137.92 | (7) s(all_0_12_12) = all_0_10_10
% 207.64/137.92 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (plus(v2, v3) = v5) | ~ (plus(v0, v1) = v4) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & minus(v3, v1) = v7 & minus(v0, v2) = v6))
% 207.64/137.93 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (minus(v3, v1) = v5) | ~ (minus(v0, v2) = v4) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & plus(v2, v3) = v7 & plus(v0, v1) = v6))
% 207.64/137.93 | (10) s(all_0_9_9) = all_0_8_8
% 207.64/137.93 | (11) le(all_0_11_11, n) = 0
% 207.64/137.93 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus(v2, v3) = v4) | ~ (plus(v0, v1) = v4) | ? [v5] : (minus(v3, v1) = v5 & minus(v0, v2) = v5))
% 207.64/137.93 | (13) ! [v0] : ( ~ (le(v0, n) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (le(v2, n) = v4 & le(all_0_13_13, v2) = v3 & le(all_0_13_13, v0) = v1 & perm(v0) = v2 & ( ~ (v1 = 0) | (v4 = 0 & v3 = 0))))
% 207.64/137.93 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (le(v3, v2) = v1) | ~ (le(v3, v2) = v0))
% 207.64/137.93 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (le(v2, v1) = 0) | ~ (s(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (p(v1) = v7 & p(v0) = v6 & plus(v7, v1) = v9 & plus(v6, v0) = v8 & le(v1, n) = v5 & le(v0, n) = v4 & le(all_0_13_13, v0) = v3 & minus(v7, v1) = v11 & minus(v6, v0) = v10 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ( ~ (v11 = v10) & ~ (v9 = v8) & ~ (v7 = v6)))))
% 207.64/137.93 | (16) le(all_0_13_13, all_0_12_12) = 0
% 207.64/137.93 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0))
% 207.64/137.93 | (18) ~ queens_q
% 207.64/137.93 | (19) perm(all_0_12_12) = all_0_7_7
% 207.64/137.93 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (q(v2) = v1) | ~ (q(v2) = v0))
% 207.64/137.93 | (21) q(all_0_11_11) = all_0_5_5
% 207.64/137.93 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (minus(v2, v3) = v4) | ~ (minus(v0, v1) = v4) | ? [v5] : (minus(v1, v3) = v5 & minus(v0, v2) = v5))
% 207.64/137.93 | (23) ! [v0] : ( ~ (le(all_0_13_13, v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (le(v2, n) = v4 & le(v0, n) = v1 & le(all_0_13_13, v2) = v3 & perm(v0) = v2 & ( ~ (v1 = 0) | (v4 = 0 & v3 = 0))))
% 207.64/137.93 | (24) ? [v0] : ? [v1] : ? [v2] : (q(v0) = v1 & p(v2) = v1 & perm(v0) = v2)
% 207.64/137.93 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0))
% 207.64/137.93 | (26) ! [v0] : ! [v1] : ( ~ (q(v0) = v1) | ? [v2] : (p(v2) = v1 & perm(v0) = v2))
% 207.64/137.93 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (le(v0, v2) = v3) | ~ (le(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & le(v1, v2) = v4))
% 207.64/137.93 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (minus(v1, v3) = v5) | ~ (minus(v0, v2) = v4) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & minus(v2, v3) = v7 & minus(v0, v1) = v6))
% 207.64/137.93 | (29) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (plus(v2, v3) = v7 & plus(v0, v1) = v6 & minus(v3, v1) = v5 & minus(v0, v2) = v4 & ( ~ (v5 = v4) | v7 = v6))
% 207.64/137.93 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (minus(v2, v3) = v5) | ~ (minus(v0, v1) = v4) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & minus(v1, v3) = v7 & minus(v0, v2) = v6))
% 207.64/137.93 | (31) le(all_0_8_8, all_0_7_7) = 0
% 207.64/137.93 | (32) ! [v0] : ! [v1] : ( ~ (perm(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (le(v1, n) = v5 & le(v0, n) = v3 & le(all_0_13_13, v1) = v4 & le(all_0_13_13, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = 0 & v4 = 0))))
% 207.64/137.93 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (perm(v2) = v1) | ~ (perm(v2) = v0))
% 207.64/137.93 | (34) ? [v0] : ? [v1] : (le(v0, v1) = 0 & s(v0) = v1)
% 207.64/137.93 | (35) le(all_0_10_10, all_0_11_11) = 0
% 207.64/137.93 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 207.64/137.93 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v1, v0) = v2) | ? [v3] : ? [v4] : (perm(v1) = v4 & perm(v0) = v3 & minus(v3, v4) = v2))
% 207.64/137.93 | (38) q(all_0_12_12) = all_0_6_6
% 207.64/137.93 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 207.64/137.94 | (40) minus(all_0_6_6, all_0_12_12) = all_0_2_2
% 207.64/137.94 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (minus(v1, v3) = v4) | ~ (minus(v0, v2) = v4) | ? [v5] : (minus(v2, v3) = v5 & minus(v0, v1) = v5))
% 207.64/137.94 | (42) ! [v0] : ! [v1] : ( ~ (s(v0) = v1) | le(v0, v1) = 0)
% 207.64/137.94 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (minus(v3, v1) = v4) | ~ (minus(v0, v2) = v4) | ? [v5] : (plus(v2, v3) = v5 & plus(v0, v1) = v5))
% 207.64/137.94 | (44) perm(all_0_11_11) = all_0_9_9
% 207.64/137.94 | (45) ! [v0] : ! [v1] : ( ~ (minus(all_0_0_0, v0) = v1) | perm(v0) = v1)
% 207.64/137.94 | (46) ! [v0] : ! [v1] : ( ~ (perm(v0) = v1) | minus(all_0_0_0, v0) = v1)
% 207.64/137.94 | (47) s(n0) = all_0_13_13
% 207.64/137.94 | (48) plus(all_0_6_6, all_0_12_12) = all_0_4_4
% 207.64/137.94 | (49) queens_p
% 207.64/137.94 | (50) plus(all_0_5_5, all_0_11_11) = all_0_3_3
% 207.64/137.94 | (51) minus(all_0_5_5, all_0_11_11) = all_0_1_1
% 207.64/137.94 | (52) all_0_1_1 = all_0_2_2 | all_0_3_3 = all_0_4_4 | all_0_5_5 = all_0_6_6
% 207.64/137.94 | (53) le(all_0_12_12, n) = 0
% 207.64/137.94 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (le(v1, v2) = 0) | ~ (le(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & le(v0, v1) = v4))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (26) with all_0_5_5, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_5_5, yields:
% 207.64/137.94 | (55) ? [v0] : (p(v0) = all_0_5_5 & perm(all_0_11_11) = v0)
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (26) with all_0_6_6, all_0_12_12 and discharging atoms q(all_0_12_12) = all_0_6_6, yields:
% 207.64/137.94 | (56) ? [v0] : (p(v0) = all_0_6_6 & perm(all_0_12_12) = v0)
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (13) with all_0_11_11 and discharging atoms le(all_0_11_11, n) = 0, yields:
% 207.64/137.94 | (57) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (le(v1, n) = v3 & le(all_0_13_13, v1) = v2 & le(all_0_13_13, all_0_11_11) = v0 & perm(all_0_11_11) = v1 & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (13) with all_0_12_12 and discharging atoms le(all_0_12_12, n) = 0, yields:
% 207.64/137.94 | (58) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (le(v1, n) = v3 & le(all_0_13_13, v1) = v2 & le(all_0_13_13, all_0_12_12) = v0 & perm(all_0_12_12) = v1 & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (23) with all_0_12_12 and discharging atoms le(all_0_13_13, all_0_12_12) = 0, yields:
% 207.64/137.94 | (59) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (le(v1, n) = v3 & le(all_0_12_12, n) = v0 & le(all_0_13_13, v1) = v2 & perm(all_0_12_12) = v1 & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (15) with all_0_8_8, all_0_7_7, all_0_9_9 and discharging atoms le(all_0_8_8, all_0_7_7) = 0, s(all_0_9_9) = all_0_8_8, yields:
% 207.64/137.94 | (60) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (p(all_0_7_7) = v4 & p(all_0_9_9) = v3 & plus(v4, all_0_7_7) = v6 & plus(v3, all_0_9_9) = v5 & le(all_0_7_7, n) = v2 & le(all_0_9_9, n) = v1 & le(all_0_13_13, all_0_9_9) = v0 & minus(v4, all_0_7_7) = v8 & minus(v3, all_0_9_9) = v7 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v8 = v7) & ~ (v6 = v5) & ~ (v4 = v3))))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (15) with all_0_10_10, all_0_11_11, all_0_12_12 and discharging atoms le(all_0_10_10, all_0_11_11) = 0, s(all_0_12_12) = all_0_10_10, yields:
% 207.64/137.94 | (61) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (p(all_0_11_11) = v4 & p(all_0_12_12) = v3 & plus(v4, all_0_11_11) = v6 & plus(v3, all_0_12_12) = v5 & le(all_0_11_11, n) = v2 & le(all_0_12_12, n) = v1 & le(all_0_13_13, all_0_12_12) = v0 & minus(v4, all_0_11_11) = v8 & minus(v3, all_0_12_12) = v7 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v8 = v7) & ~ (v6 = v5) & ~ (v4 = v3))))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (42) with all_0_10_10, all_0_12_12 and discharging atoms s(all_0_12_12) = all_0_10_10, yields:
% 207.64/137.94 | (62) le(all_0_12_12, all_0_10_10) = 0
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (15) with all_0_13_13, all_0_12_12, n0 and discharging atoms le(all_0_13_13, all_0_12_12) = 0, s(n0) = all_0_13_13, yields:
% 207.64/137.94 | (63) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (p(all_0_12_12) = v4 & p(n0) = v3 & plus(v4, all_0_12_12) = v6 & plus(v3, n0) = v5 & le(all_0_12_12, n) = v2 & le(all_0_13_13, n0) = v0 & le(n0, n) = v1 & minus(v4, all_0_12_12) = v8 & minus(v3, n0) = v7 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v8 = v7) & ~ (v6 = v5) & ~ (v4 = v3))))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (46) with all_0_9_9, all_0_11_11 and discharging atoms perm(all_0_11_11) = all_0_9_9, yields:
% 207.64/137.94 | (64) minus(all_0_0_0, all_0_11_11) = all_0_9_9
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (32) with all_0_9_9, all_0_11_11 and discharging atoms perm(all_0_11_11) = all_0_9_9, yields:
% 207.64/137.94 | (65) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (le(all_0_9_9, n) = v3 & le(all_0_11_11, n) = v1 & le(all_0_13_13, all_0_9_9) = v2 & le(all_0_13_13, all_0_11_11) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (4) with all_0_9_9, all_0_11_11 and discharging atoms perm(all_0_11_11) = all_0_9_9, yields:
% 207.64/137.94 | (66) ? [v0] : (q(all_0_11_11) = v0 & p(all_0_9_9) = v0)
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (46) with all_0_7_7, all_0_12_12 and discharging atoms perm(all_0_12_12) = all_0_7_7, yields:
% 207.64/137.94 | (67) minus(all_0_0_0, all_0_12_12) = all_0_7_7
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (32) with all_0_7_7, all_0_12_12 and discharging atoms perm(all_0_12_12) = all_0_7_7, yields:
% 207.64/137.94 | (68) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (le(all_0_7_7, n) = v3 & le(all_0_12_12, n) = v1 & le(all_0_13_13, all_0_7_7) = v2 & le(all_0_13_13, all_0_12_12) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (4) with all_0_7_7, all_0_12_12 and discharging atoms perm(all_0_12_12) = all_0_7_7, yields:
% 207.64/137.94 | (69) ? [v0] : (q(all_0_12_12) = v0 & p(all_0_7_7) = v0)
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (43) with all_0_1_1, all_0_5_5, all_0_11_11, all_0_11_11, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, yields:
% 207.64/137.94 | (70) ? [v0] : (plus(all_0_5_5, all_0_11_11) = v0 & plus(all_0_11_11, all_0_5_5) = v0)
% 207.64/137.94 |
% 207.64/137.94 | Instantiating formula (22) with all_0_1_1, all_0_11_11, all_0_5_5, all_0_11_11, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, yields:
% 207.64/137.94 | (71) ? [v0] : (minus(all_0_5_5, all_0_5_5) = v0 & minus(all_0_11_11, all_0_11_11) = v0)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating formula (37) with all_0_1_1, all_0_5_5, all_0_11_11 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, yields:
% 207.64/137.95 | (72) ? [v0] : ? [v1] : (perm(all_0_5_5) = v1 & perm(all_0_11_11) = v0 & minus(v0, v1) = all_0_1_1)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating formula (9) with all_0_2_2, all_0_1_1, all_0_6_6, all_0_11_11, all_0_12_12, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, minus(all_0_6_6, all_0_12_12) = all_0_2_2, yields:
% 207.64/137.95 | (73) all_0_1_1 = all_0_2_2 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_0_12_12) = v0 & plus(all_0_11_11, all_0_6_6) = v1)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating formula (9) with all_0_1_1, all_0_2_2, all_0_5_5, all_0_12_12, all_0_11_11, all_0_6_6 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, minus(all_0_6_6, all_0_12_12) = all_0_2_2, yields:
% 207.64/137.95 | (74) all_0_1_1 = all_0_2_2 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_0_11_11) = v0 & plus(all_0_12_12, all_0_5_5) = v1)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating formula (30) with all_0_2_2, all_0_1_1, all_0_12_12, all_0_6_6, all_0_11_11, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, minus(all_0_6_6, all_0_12_12) = all_0_2_2, yields:
% 207.64/137.95 | (75) all_0_1_1 = all_0_2_2 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_6_6) = v0 & minus(all_0_11_11, all_0_12_12) = v1)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating formula (30) with all_0_1_1, all_0_2_2, all_0_11_11, all_0_5_5, all_0_12_12, all_0_6_6 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, minus(all_0_6_6, all_0_12_12) = all_0_2_2, yields:
% 207.64/137.95 | (76) all_0_1_1 = all_0_2_2 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_5_5) = v0 & minus(all_0_12_12, all_0_11_11) = v1)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating formula (43) with all_0_2_2, all_0_6_6, all_0_12_12, all_0_12_12, all_0_6_6 and discharging atoms minus(all_0_6_6, all_0_12_12) = all_0_2_2, yields:
% 207.64/137.95 | (77) ? [v0] : (plus(all_0_6_6, all_0_12_12) = v0 & plus(all_0_12_12, all_0_6_6) = v0)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating formula (22) with all_0_2_2, all_0_12_12, all_0_6_6, all_0_12_12, all_0_6_6 and discharging atoms minus(all_0_6_6, all_0_12_12) = all_0_2_2, yields:
% 207.64/137.95 | (78) ? [v0] : (minus(all_0_6_6, all_0_6_6) = v0 & minus(all_0_12_12, all_0_12_12) = v0)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating formula (37) with all_0_2_2, all_0_6_6, all_0_12_12 and discharging atoms minus(all_0_6_6, all_0_12_12) = all_0_2_2, yields:
% 207.64/137.95 | (79) ? [v0] : ? [v1] : (perm(all_0_6_6) = v1 & perm(all_0_12_12) = v0 & minus(v0, v1) = all_0_2_2)
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (72) with all_17_0_33, all_17_1_34 yields:
% 207.64/137.95 | (80) perm(all_0_5_5) = all_17_0_33 & perm(all_0_11_11) = all_17_1_34 & minus(all_17_1_34, all_17_0_33) = all_0_1_1
% 207.64/137.95 |
% 207.64/137.95 | Applying alpha-rule on (80) yields:
% 207.64/137.95 | (81) perm(all_0_5_5) = all_17_0_33
% 207.64/137.95 | (82) perm(all_0_11_11) = all_17_1_34
% 207.64/137.95 | (83) minus(all_17_1_34, all_17_0_33) = all_0_1_1
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (70) with all_19_0_35 yields:
% 207.64/137.95 | (84) plus(all_0_5_5, all_0_11_11) = all_19_0_35 & plus(all_0_11_11, all_0_5_5) = all_19_0_35
% 207.64/137.95 |
% 207.64/137.95 | Applying alpha-rule on (84) yields:
% 207.64/137.95 | (85) plus(all_0_5_5, all_0_11_11) = all_19_0_35
% 207.64/137.95 | (86) plus(all_0_11_11, all_0_5_5) = all_19_0_35
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (65) with all_21_0_36, all_21_1_37, all_21_2_38, all_21_3_39 yields:
% 207.64/137.95 | (87) le(all_0_9_9, n) = all_21_0_36 & le(all_0_11_11, n) = all_21_2_38 & le(all_0_13_13, all_0_9_9) = all_21_1_37 & le(all_0_13_13, all_0_11_11) = all_21_3_39 & ( ~ (all_21_2_38 = 0) | ~ (all_21_3_39 = 0) | (all_21_0_36 = 0 & all_21_1_37 = 0))
% 207.64/137.95 |
% 207.64/137.95 | Applying alpha-rule on (87) yields:
% 207.64/137.95 | (88) le(all_0_9_9, n) = all_21_0_36
% 207.64/137.95 | (89) le(all_0_11_11, n) = all_21_2_38
% 207.64/137.95 | (90) le(all_0_13_13, all_0_11_11) = all_21_3_39
% 207.64/137.95 | (91) ~ (all_21_2_38 = 0) | ~ (all_21_3_39 = 0) | (all_21_0_36 = 0 & all_21_1_37 = 0)
% 207.64/137.95 | (92) le(all_0_13_13, all_0_9_9) = all_21_1_37
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (79) with all_23_0_40, all_23_1_41 yields:
% 207.64/137.95 | (93) perm(all_0_6_6) = all_23_0_40 & perm(all_0_12_12) = all_23_1_41 & minus(all_23_1_41, all_23_0_40) = all_0_2_2
% 207.64/137.95 |
% 207.64/137.95 | Applying alpha-rule on (93) yields:
% 207.64/137.95 | (94) perm(all_0_6_6) = all_23_0_40
% 207.64/137.95 | (95) perm(all_0_12_12) = all_23_1_41
% 207.64/137.95 | (96) minus(all_23_1_41, all_23_0_40) = all_0_2_2
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (77) with all_25_0_42 yields:
% 207.64/137.95 | (97) plus(all_0_6_6, all_0_12_12) = all_25_0_42 & plus(all_0_12_12, all_0_6_6) = all_25_0_42
% 207.64/137.95 |
% 207.64/137.95 | Applying alpha-rule on (97) yields:
% 207.64/137.95 | (98) plus(all_0_6_6, all_0_12_12) = all_25_0_42
% 207.64/137.95 | (99) plus(all_0_12_12, all_0_6_6) = all_25_0_42
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (66) with all_27_0_43 yields:
% 207.64/137.95 | (100) q(all_0_11_11) = all_27_0_43 & p(all_0_9_9) = all_27_0_43
% 207.64/137.95 |
% 207.64/137.95 | Applying alpha-rule on (100) yields:
% 207.64/137.95 | (101) q(all_0_11_11) = all_27_0_43
% 207.64/137.95 | (102) p(all_0_9_9) = all_27_0_43
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (60) with all_31_0_48, all_31_1_49, all_31_2_50, all_31_3_51, all_31_4_52, all_31_5_53, all_31_6_54, all_31_7_55, all_31_8_56 yields:
% 207.64/137.95 | (103) p(all_0_7_7) = all_31_4_52 & p(all_0_9_9) = all_31_5_53 & plus(all_31_4_52, all_0_7_7) = all_31_2_50 & plus(all_31_5_53, all_0_9_9) = all_31_3_51 & le(all_0_7_7, n) = all_31_6_54 & le(all_0_9_9, n) = all_31_7_55 & le(all_0_13_13, all_0_9_9) = all_31_8_56 & minus(all_31_4_52, all_0_7_7) = all_31_0_48 & minus(all_31_5_53, all_0_9_9) = all_31_1_49 & ( ~ (all_31_6_54 = 0) | ~ (all_31_7_55 = 0) | ~ (all_31_8_56 = 0) | ( ~ (all_31_0_48 = all_31_1_49) & ~ (all_31_2_50 = all_31_3_51) & ~ (all_31_4_52 = all_31_5_53)))
% 207.64/137.95 |
% 207.64/137.95 | Applying alpha-rule on (103) yields:
% 207.64/137.95 | (104) le(all_0_7_7, n) = all_31_6_54
% 207.64/137.95 | (105) le(all_0_13_13, all_0_9_9) = all_31_8_56
% 207.64/137.95 | (106) minus(all_31_4_52, all_0_7_7) = all_31_0_48
% 207.64/137.95 | (107) p(all_0_7_7) = all_31_4_52
% 207.64/137.95 | (108) le(all_0_9_9, n) = all_31_7_55
% 207.64/137.95 | (109) minus(all_31_5_53, all_0_9_9) = all_31_1_49
% 207.64/137.95 | (110) ~ (all_31_6_54 = 0) | ~ (all_31_7_55 = 0) | ~ (all_31_8_56 = 0) | ( ~ (all_31_0_48 = all_31_1_49) & ~ (all_31_2_50 = all_31_3_51) & ~ (all_31_4_52 = all_31_5_53))
% 207.64/137.95 | (111) plus(all_31_4_52, all_0_7_7) = all_31_2_50
% 207.64/137.95 | (112) p(all_0_9_9) = all_31_5_53
% 207.64/137.95 | (113) plus(all_31_5_53, all_0_9_9) = all_31_3_51
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (61) with all_33_0_57, all_33_1_58, all_33_2_59, all_33_3_60, all_33_4_61, all_33_5_62, all_33_6_63, all_33_7_64, all_33_8_65 yields:
% 207.64/137.95 | (114) p(all_0_11_11) = all_33_4_61 & p(all_0_12_12) = all_33_5_62 & plus(all_33_4_61, all_0_11_11) = all_33_2_59 & plus(all_33_5_62, all_0_12_12) = all_33_3_60 & le(all_0_11_11, n) = all_33_6_63 & le(all_0_12_12, n) = all_33_7_64 & le(all_0_13_13, all_0_12_12) = all_33_8_65 & minus(all_33_4_61, all_0_11_11) = all_33_0_57 & minus(all_33_5_62, all_0_12_12) = all_33_1_58 & ( ~ (all_33_6_63 = 0) | ~ (all_33_7_64 = 0) | ~ (all_33_8_65 = 0) | ( ~ (all_33_0_57 = all_33_1_58) & ~ (all_33_2_59 = all_33_3_60) & ~ (all_33_4_61 = all_33_5_62)))
% 207.64/137.95 |
% 207.64/137.95 | Applying alpha-rule on (114) yields:
% 207.64/137.95 | (115) le(all_0_11_11, n) = all_33_6_63
% 207.64/137.95 | (116) le(all_0_13_13, all_0_12_12) = all_33_8_65
% 207.64/137.95 | (117) plus(all_33_5_62, all_0_12_12) = all_33_3_60
% 207.64/137.95 | (118) p(all_0_12_12) = all_33_5_62
% 207.64/137.95 | (119) p(all_0_11_11) = all_33_4_61
% 207.64/137.95 | (120) minus(all_33_4_61, all_0_11_11) = all_33_0_57
% 207.64/137.95 | (121) minus(all_33_5_62, all_0_12_12) = all_33_1_58
% 207.64/137.95 | (122) ~ (all_33_6_63 = 0) | ~ (all_33_7_64 = 0) | ~ (all_33_8_65 = 0) | ( ~ (all_33_0_57 = all_33_1_58) & ~ (all_33_2_59 = all_33_3_60) & ~ (all_33_4_61 = all_33_5_62))
% 207.64/137.95 | (123) le(all_0_12_12, n) = all_33_7_64
% 207.64/137.95 | (124) plus(all_33_4_61, all_0_11_11) = all_33_2_59
% 207.64/137.95 |
% 207.64/137.95 | Instantiating (63) with all_39_0_69, all_39_1_70, all_39_2_71, all_39_3_72, all_39_4_73, all_39_5_74, all_39_6_75, all_39_7_76, all_39_8_77 yields:
% 207.64/137.95 | (125) p(all_0_12_12) = all_39_4_73 & p(n0) = all_39_5_74 & plus(all_39_4_73, all_0_12_12) = all_39_2_71 & plus(all_39_5_74, n0) = all_39_3_72 & le(all_0_12_12, n) = all_39_6_75 & le(all_0_13_13, n0) = all_39_8_77 & le(n0, n) = all_39_7_76 & minus(all_39_4_73, all_0_12_12) = all_39_0_69 & minus(all_39_5_74, n0) = all_39_1_70 & ( ~ (all_39_6_75 = 0) | ~ (all_39_7_76 = 0) | ~ (all_39_8_77 = 0) | ( ~ (all_39_0_69 = all_39_1_70) & ~ (all_39_2_71 = all_39_3_72) & ~ (all_39_4_73 = all_39_5_74)))
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (125) yields:
% 207.64/137.96 | (126) plus(all_39_5_74, n0) = all_39_3_72
% 207.64/137.96 | (127) le(all_0_13_13, n0) = all_39_8_77
% 207.64/137.96 | (128) minus(all_39_5_74, n0) = all_39_1_70
% 207.64/137.96 | (129) le(n0, n) = all_39_7_76
% 207.64/137.96 | (130) le(all_0_12_12, n) = all_39_6_75
% 207.64/137.96 | (131) ~ (all_39_6_75 = 0) | ~ (all_39_7_76 = 0) | ~ (all_39_8_77 = 0) | ( ~ (all_39_0_69 = all_39_1_70) & ~ (all_39_2_71 = all_39_3_72) & ~ (all_39_4_73 = all_39_5_74))
% 207.64/137.96 | (132) minus(all_39_4_73, all_0_12_12) = all_39_0_69
% 207.64/137.96 | (133) p(all_0_12_12) = all_39_4_73
% 207.64/137.96 | (134) p(n0) = all_39_5_74
% 207.64/137.96 | (135) plus(all_39_4_73, all_0_12_12) = all_39_2_71
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (69) with all_45_0_81 yields:
% 207.64/137.96 | (136) q(all_0_12_12) = all_45_0_81 & p(all_0_7_7) = all_45_0_81
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (136) yields:
% 207.64/137.96 | (137) q(all_0_12_12) = all_45_0_81
% 207.64/137.96 | (138) p(all_0_7_7) = all_45_0_81
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (68) with all_47_0_82, all_47_1_83, all_47_2_84, all_47_3_85 yields:
% 207.64/137.96 | (139) le(all_0_7_7, n) = all_47_0_82 & le(all_0_12_12, n) = all_47_2_84 & le(all_0_13_13, all_0_7_7) = all_47_1_83 & le(all_0_13_13, all_0_12_12) = all_47_3_85 & ( ~ (all_47_2_84 = 0) | ~ (all_47_3_85 = 0) | (all_47_0_82 = 0 & all_47_1_83 = 0))
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (139) yields:
% 207.64/137.96 | (140) le(all_0_12_12, n) = all_47_2_84
% 207.64/137.96 | (141) ~ (all_47_2_84 = 0) | ~ (all_47_3_85 = 0) | (all_47_0_82 = 0 & all_47_1_83 = 0)
% 207.64/137.96 | (142) le(all_0_13_13, all_0_12_12) = all_47_3_85
% 207.64/137.96 | (143) le(all_0_13_13, all_0_7_7) = all_47_1_83
% 207.64/137.96 | (144) le(all_0_7_7, n) = all_47_0_82
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (57) with all_51_0_87, all_51_1_88, all_51_2_89, all_51_3_90 yields:
% 207.64/137.96 | (145) le(all_51_2_89, n) = all_51_0_87 & le(all_0_13_13, all_51_2_89) = all_51_1_88 & le(all_0_13_13, all_0_11_11) = all_51_3_90 & perm(all_0_11_11) = all_51_2_89 & ( ~ (all_51_3_90 = 0) | (all_51_0_87 = 0 & all_51_1_88 = 0))
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (145) yields:
% 207.64/137.96 | (146) perm(all_0_11_11) = all_51_2_89
% 207.64/137.96 | (147) le(all_0_13_13, all_51_2_89) = all_51_1_88
% 207.64/137.96 | (148) le(all_51_2_89, n) = all_51_0_87
% 207.64/137.96 | (149) ~ (all_51_3_90 = 0) | (all_51_0_87 = 0 & all_51_1_88 = 0)
% 207.64/137.96 | (150) le(all_0_13_13, all_0_11_11) = all_51_3_90
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (78) with all_55_0_92 yields:
% 207.64/137.96 | (151) minus(all_0_6_6, all_0_6_6) = all_55_0_92 & minus(all_0_12_12, all_0_12_12) = all_55_0_92
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (151) yields:
% 207.64/137.96 | (152) minus(all_0_6_6, all_0_6_6) = all_55_0_92
% 207.64/137.96 | (153) minus(all_0_12_12, all_0_12_12) = all_55_0_92
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (58) with all_57_0_93, all_57_1_94, all_57_2_95, all_57_3_96 yields:
% 207.64/137.96 | (154) le(all_57_2_95, n) = all_57_0_93 & le(all_0_13_13, all_57_2_95) = all_57_1_94 & le(all_0_13_13, all_0_12_12) = all_57_3_96 & perm(all_0_12_12) = all_57_2_95 & ( ~ (all_57_3_96 = 0) | (all_57_0_93 = 0 & all_57_1_94 = 0))
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (154) yields:
% 207.64/137.96 | (155) perm(all_0_12_12) = all_57_2_95
% 207.64/137.96 | (156) ~ (all_57_3_96 = 0) | (all_57_0_93 = 0 & all_57_1_94 = 0)
% 207.64/137.96 | (157) le(all_0_13_13, all_0_12_12) = all_57_3_96
% 207.64/137.96 | (158) le(all_0_13_13, all_57_2_95) = all_57_1_94
% 207.64/137.96 | (159) le(all_57_2_95, n) = all_57_0_93
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (71) with all_59_0_97 yields:
% 207.64/137.96 | (160) minus(all_0_5_5, all_0_5_5) = all_59_0_97 & minus(all_0_11_11, all_0_11_11) = all_59_0_97
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (160) yields:
% 207.64/137.96 | (161) minus(all_0_5_5, all_0_5_5) = all_59_0_97
% 207.64/137.96 | (162) minus(all_0_11_11, all_0_11_11) = all_59_0_97
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (59) with all_65_0_100, all_65_1_101, all_65_2_102, all_65_3_103 yields:
% 207.64/137.96 | (163) le(all_65_2_102, n) = all_65_0_100 & le(all_0_12_12, n) = all_65_3_103 & le(all_0_13_13, all_65_2_102) = all_65_1_101 & perm(all_0_12_12) = all_65_2_102 & ( ~ (all_65_3_103 = 0) | (all_65_0_100 = 0 & all_65_1_101 = 0))
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (163) yields:
% 207.64/137.96 | (164) perm(all_0_12_12) = all_65_2_102
% 207.64/137.96 | (165) le(all_0_12_12, n) = all_65_3_103
% 207.64/137.96 | (166) ~ (all_65_3_103 = 0) | (all_65_0_100 = 0 & all_65_1_101 = 0)
% 207.64/137.96 | (167) le(all_65_2_102, n) = all_65_0_100
% 207.64/137.96 | (168) le(all_0_13_13, all_65_2_102) = all_65_1_101
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (56) with all_67_0_104 yields:
% 207.64/137.96 | (169) p(all_67_0_104) = all_0_6_6 & perm(all_0_12_12) = all_67_0_104
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (169) yields:
% 207.64/137.96 | (170) p(all_67_0_104) = all_0_6_6
% 207.64/137.96 | (171) perm(all_0_12_12) = all_67_0_104
% 207.64/137.96 |
% 207.64/137.96 | Instantiating (55) with all_69_0_105 yields:
% 207.64/137.96 | (172) p(all_69_0_105) = all_0_5_5 & perm(all_0_11_11) = all_69_0_105
% 207.64/137.96 |
% 207.64/137.96 | Applying alpha-rule on (172) yields:
% 207.64/137.96 | (173) p(all_69_0_105) = all_0_5_5
% 207.64/137.96 | (174) perm(all_0_11_11) = all_69_0_105
% 207.64/137.96 |
% 207.64/137.96 | Instantiating formula (20) with all_0_11_11, all_27_0_43, all_0_5_5 and discharging atoms q(all_0_11_11) = all_27_0_43, q(all_0_11_11) = all_0_5_5, yields:
% 207.64/137.96 | (175) all_27_0_43 = all_0_5_5
% 207.64/137.96 |
% 207.64/137.96 | Instantiating formula (20) with all_0_12_12, all_45_0_81, all_0_6_6 and discharging atoms q(all_0_12_12) = all_45_0_81, q(all_0_12_12) = all_0_6_6, yields:
% 207.64/137.96 | (176) all_45_0_81 = all_0_6_6
% 207.64/137.96 |
% 207.64/137.96 | Instantiating formula (17) with all_0_7_7, all_31_4_52, all_45_0_81 and discharging atoms p(all_0_7_7) = all_45_0_81, p(all_0_7_7) = all_31_4_52, yields:
% 207.64/137.96 | (177) all_45_0_81 = all_31_4_52
% 207.64/137.96 |
% 207.64/137.96 | Instantiating formula (17) with all_0_9_9, all_27_0_43, all_31_5_53 and discharging atoms p(all_0_9_9) = all_31_5_53, p(all_0_9_9) = all_27_0_43, yields:
% 207.64/137.96 | (178) all_31_5_53 = all_27_0_43
% 207.64/137.96 |
% 207.64/137.96 | Instantiating formula (17) with all_0_12_12, all_33_5_62, all_39_4_73 and discharging atoms p(all_0_12_12) = all_39_4_73, p(all_0_12_12) = all_33_5_62, yields:
% 207.64/137.96 | (179) all_39_4_73 = all_33_5_62
% 207.64/137.96 |
% 207.64/137.96 | Instantiating formula (39) with all_0_5_5, all_0_11_11, all_19_0_35, all_0_3_3 and discharging atoms plus(all_0_5_5, all_0_11_11) = all_19_0_35, plus(all_0_5_5, all_0_11_11) = all_0_3_3, yields:
% 207.64/137.96 | (180) all_19_0_35 = all_0_3_3
% 207.64/137.96 |
% 207.64/137.96 | Instantiating formula (39) with all_0_6_6, all_0_12_12, all_25_0_42, all_0_4_4 and discharging atoms plus(all_0_6_6, all_0_12_12) = all_25_0_42, plus(all_0_6_6, all_0_12_12) = all_0_4_4, yields:
% 207.64/137.97 | (181) all_25_0_42 = all_0_4_4
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_7_7, n, all_31_6_54, all_47_0_82 and discharging atoms le(all_0_7_7, n) = all_47_0_82, le(all_0_7_7, n) = all_31_6_54, yields:
% 207.64/137.97 | (182) all_47_0_82 = all_31_6_54
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_9_9, n, all_21_0_36, all_31_7_55 and discharging atoms le(all_0_9_9, n) = all_31_7_55, le(all_0_9_9, n) = all_21_0_36, yields:
% 207.64/137.97 | (183) all_31_7_55 = all_21_0_36
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_11_11, n, all_33_6_63, 0 and discharging atoms le(all_0_11_11, n) = all_33_6_63, le(all_0_11_11, n) = 0, yields:
% 207.64/137.97 | (184) all_33_6_63 = 0
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_11_11, n, all_21_2_38, all_33_6_63 and discharging atoms le(all_0_11_11, n) = all_33_6_63, le(all_0_11_11, n) = all_21_2_38, yields:
% 207.64/137.97 | (185) all_33_6_63 = all_21_2_38
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_12_12, n, all_47_2_84, all_65_3_103 and discharging atoms le(all_0_12_12, n) = all_65_3_103, le(all_0_12_12, n) = all_47_2_84, yields:
% 207.64/137.97 | (186) all_65_3_103 = all_47_2_84
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_12_12, n, all_39_6_75, 0 and discharging atoms le(all_0_12_12, n) = all_39_6_75, le(all_0_12_12, n) = 0, yields:
% 207.64/137.97 | (187) all_39_6_75 = 0
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_12_12, n, all_39_6_75, all_47_2_84 and discharging atoms le(all_0_12_12, n) = all_47_2_84, le(all_0_12_12, n) = all_39_6_75, yields:
% 207.64/137.97 | (188) all_47_2_84 = all_39_6_75
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_12_12, n, all_33_7_64, all_65_3_103 and discharging atoms le(all_0_12_12, n) = all_65_3_103, le(all_0_12_12, n) = all_33_7_64, yields:
% 207.64/137.97 | (189) all_65_3_103 = all_33_7_64
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_13_13, all_0_9_9, all_21_1_37, all_31_8_56 and discharging atoms le(all_0_13_13, all_0_9_9) = all_31_8_56, le(all_0_13_13, all_0_9_9) = all_21_1_37, yields:
% 207.64/137.97 | (190) all_31_8_56 = all_21_1_37
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_13_13, all_0_11_11, all_21_3_39, all_51_3_90 and discharging atoms le(all_0_13_13, all_0_11_11) = all_51_3_90, le(all_0_13_13, all_0_11_11) = all_21_3_39, yields:
% 207.64/137.97 | (191) all_51_3_90 = all_21_3_39
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_13_13, all_0_12_12, all_47_3_85, 0 and discharging atoms le(all_0_13_13, all_0_12_12) = all_47_3_85, le(all_0_13_13, all_0_12_12) = 0, yields:
% 207.64/137.97 | (192) all_47_3_85 = 0
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_13_13, all_0_12_12, all_47_3_85, all_57_3_96 and discharging atoms le(all_0_13_13, all_0_12_12) = all_57_3_96, le(all_0_13_13, all_0_12_12) = all_47_3_85, yields:
% 207.64/137.97 | (193) all_57_3_96 = all_47_3_85
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (14) with all_0_13_13, all_0_12_12, all_33_8_65, all_57_3_96 and discharging atoms le(all_0_13_13, all_0_12_12) = all_57_3_96, le(all_0_13_13, all_0_12_12) = all_33_8_65, yields:
% 207.64/137.97 | (194) all_57_3_96 = all_33_8_65
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (33) with all_0_11_11, all_69_0_105, all_0_9_9 and discharging atoms perm(all_0_11_11) = all_69_0_105, perm(all_0_11_11) = all_0_9_9, yields:
% 207.64/137.97 | (195) all_69_0_105 = all_0_9_9
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (33) with all_0_11_11, all_51_2_89, all_69_0_105 and discharging atoms perm(all_0_11_11) = all_69_0_105, perm(all_0_11_11) = all_51_2_89, yields:
% 207.64/137.97 | (196) all_69_0_105 = all_51_2_89
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (33) with all_0_11_11, all_17_1_34, all_51_2_89 and discharging atoms perm(all_0_11_11) = all_51_2_89, perm(all_0_11_11) = all_17_1_34, yields:
% 207.64/137.97 | (197) all_51_2_89 = all_17_1_34
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (33) with all_0_12_12, all_65_2_102, all_0_7_7 and discharging atoms perm(all_0_12_12) = all_65_2_102, perm(all_0_12_12) = all_0_7_7, yields:
% 207.64/137.97 | (198) all_65_2_102 = all_0_7_7
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (33) with all_0_12_12, all_65_2_102, all_67_0_104 and discharging atoms perm(all_0_12_12) = all_67_0_104, perm(all_0_12_12) = all_65_2_102, yields:
% 207.64/137.97 | (199) all_67_0_104 = all_65_2_102
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (33) with all_0_12_12, all_57_2_95, all_65_2_102 and discharging atoms perm(all_0_12_12) = all_65_2_102, perm(all_0_12_12) = all_57_2_95, yields:
% 207.64/137.97 | (200) all_65_2_102 = all_57_2_95
% 207.64/137.97 |
% 207.64/137.97 | Instantiating formula (33) with all_0_12_12, all_23_1_41, all_67_0_104 and discharging atoms perm(all_0_12_12) = all_67_0_104, perm(all_0_12_12) = all_23_1_41, yields:
% 207.64/137.97 | (201) all_67_0_104 = all_23_1_41
% 207.64/137.97 |
% 207.64/137.97 | Combining equations (196,195) yields a new equation:
% 207.64/137.97 | (202) all_51_2_89 = all_0_9_9
% 207.64/137.97 |
% 207.64/137.97 | Simplifying 202 yields:
% 207.64/137.97 | (203) all_51_2_89 = all_0_9_9
% 207.64/137.97 |
% 207.64/137.97 | Combining equations (199,201) yields a new equation:
% 207.64/137.97 | (204) all_65_2_102 = all_23_1_41
% 207.64/137.97 |
% 207.92/137.97 | Simplifying 204 yields:
% 207.92/137.97 | (205) all_65_2_102 = all_23_1_41
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (205,200) yields a new equation:
% 207.92/137.97 | (206) all_57_2_95 = all_23_1_41
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (198,200) yields a new equation:
% 207.92/137.97 | (207) all_57_2_95 = all_0_7_7
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (186,189) yields a new equation:
% 207.92/137.97 | (208) all_47_2_84 = all_33_7_64
% 207.92/137.97 |
% 207.92/137.97 | Simplifying 208 yields:
% 207.92/137.97 | (209) all_47_2_84 = all_33_7_64
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (206,207) yields a new equation:
% 207.92/137.97 | (210) all_23_1_41 = all_0_7_7
% 207.92/137.97 |
% 207.92/137.97 | Simplifying 210 yields:
% 207.92/137.97 | (211) all_23_1_41 = all_0_7_7
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (193,194) yields a new equation:
% 207.92/137.97 | (212) all_47_3_85 = all_33_8_65
% 207.92/137.97 |
% 207.92/137.97 | Simplifying 212 yields:
% 207.92/137.97 | (213) all_47_3_85 = all_33_8_65
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (203,197) yields a new equation:
% 207.92/137.97 | (214) all_17_1_34 = all_0_9_9
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (188,209) yields a new equation:
% 207.92/137.97 | (215) all_39_6_75 = all_33_7_64
% 207.92/137.97 |
% 207.92/137.97 | Simplifying 215 yields:
% 207.92/137.97 | (216) all_39_6_75 = all_33_7_64
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (192,213) yields a new equation:
% 207.92/137.97 | (217) all_33_8_65 = 0
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (177,176) yields a new equation:
% 207.92/137.97 | (218) all_31_4_52 = all_0_6_6
% 207.92/137.97 |
% 207.92/137.97 | Simplifying 218 yields:
% 207.92/137.97 | (219) all_31_4_52 = all_0_6_6
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (187,216) yields a new equation:
% 207.92/137.97 | (220) all_33_7_64 = 0
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (184,185) yields a new equation:
% 207.92/137.97 | (221) all_21_2_38 = 0
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (175,178) yields a new equation:
% 207.92/137.97 | (222) all_31_5_53 = all_0_5_5
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (221,185) yields a new equation:
% 207.92/137.97 | (184) all_33_6_63 = 0
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (217,213) yields a new equation:
% 207.92/137.97 | (192) all_47_3_85 = 0
% 207.92/137.97 |
% 207.92/137.97 | Combining equations (220,209) yields a new equation:
% 207.92/137.97 | (225) all_47_2_84 = 0
% 207.92/137.97 |
% 207.92/137.97 | From (219) and (107) follows:
% 207.92/137.98 | (226) p(all_0_7_7) = all_0_6_6
% 207.92/137.98 |
% 207.92/137.98 | From (179) and (135) follows:
% 207.92/137.98 | (227) plus(all_33_5_62, all_0_12_12) = all_39_2_71
% 207.92/137.98 |
% 207.92/137.98 | From (219) and (111) follows:
% 207.92/137.98 | (228) plus(all_0_6_6, all_0_7_7) = all_31_2_50
% 207.92/137.98 |
% 207.92/137.98 | From (222) and (113) follows:
% 207.92/137.98 | (229) plus(all_0_5_5, all_0_9_9) = all_31_3_51
% 207.92/137.98 |
% 207.92/137.98 | From (180) and (86) follows:
% 207.92/137.98 | (230) plus(all_0_11_11, all_0_5_5) = all_0_3_3
% 207.92/137.98 |
% 207.92/137.98 | From (181) and (99) follows:
% 207.92/137.98 | (231) plus(all_0_12_12, all_0_6_6) = all_0_4_4
% 207.92/137.98 |
% 207.92/137.98 | From (182) and (144) follows:
% 207.92/137.98 | (104) le(all_0_7_7, n) = all_31_6_54
% 207.92/137.98 |
% 207.92/137.98 | From (191) and (150) follows:
% 207.92/137.98 | (90) le(all_0_13_13, all_0_11_11) = all_21_3_39
% 207.92/137.98 |
% 207.92/137.98 | From (217) and (116) follows:
% 207.92/137.98 | (16) le(all_0_13_13, all_0_12_12) = 0
% 207.92/137.98 |
% 207.92/137.98 | From (214) and (82) follows:
% 207.92/137.98 | (44) perm(all_0_11_11) = all_0_9_9
% 207.92/137.98 |
% 207.92/137.98 | From (211) and (95) follows:
% 207.92/137.98 | (19) perm(all_0_12_12) = all_0_7_7
% 207.92/137.98 |
% 207.92/137.98 | From (179) and (132) follows:
% 207.92/137.98 | (237) minus(all_33_5_62, all_0_12_12) = all_39_0_69
% 207.92/137.98 |
% 207.92/137.98 | From (219) and (106) follows:
% 207.92/137.98 | (238) minus(all_0_6_6, all_0_7_7) = all_31_0_48
% 207.92/137.98 |
% 207.92/137.98 | From (222) and (109) follows:
% 207.92/137.98 | (239) minus(all_0_5_5, all_0_9_9) = all_31_1_49
% 207.92/137.98 |
% 207.92/137.98 | From (211) and (96) follows:
% 207.92/137.98 | (240) minus(all_0_7_7, all_23_0_40) = all_0_2_2
% 207.92/137.98 |
% 207.92/137.98 | From (214) and (83) follows:
% 207.92/137.98 | (241) minus(all_0_9_9, all_17_0_33) = all_0_1_1
% 207.92/137.98 |
% 207.92/137.98 +-Applying beta-rule and splitting (122), into two cases.
% 207.92/137.98 |-Branch one:
% 207.92/137.98 | (242) ~ (all_33_6_63 = 0)
% 207.92/137.98 |
% 207.92/137.98 | Equations (184) can reduce 242 to:
% 207.92/137.98 | (243) $false
% 207.92/137.98 |
% 207.92/137.98 |-The branch is then unsatisfiable
% 207.92/137.98 |-Branch two:
% 207.92/137.98 | (184) all_33_6_63 = 0
% 207.92/137.98 | (245) ~ (all_33_7_64 = 0) | ~ (all_33_8_65 = 0) | ( ~ (all_33_0_57 = all_33_1_58) & ~ (all_33_2_59 = all_33_3_60) & ~ (all_33_4_61 = all_33_5_62))
% 207.92/137.98 |
% 207.92/137.98 +-Applying beta-rule and splitting (141), into two cases.
% 207.92/137.98 |-Branch one:
% 207.92/137.98 | (246) ~ (all_47_2_84 = 0)
% 207.92/137.98 |
% 207.92/137.98 | Equations (225) can reduce 246 to:
% 207.92/137.98 | (243) $false
% 207.92/137.98 |
% 207.92/137.98 |-The branch is then unsatisfiable
% 207.92/137.98 |-Branch two:
% 207.92/137.98 | (225) all_47_2_84 = 0
% 207.92/137.98 | (249) ~ (all_47_3_85 = 0) | (all_47_0_82 = 0 & all_47_1_83 = 0)
% 207.92/137.98 |
% 207.92/137.98 +-Applying beta-rule and splitting (249), into two cases.
% 207.92/137.98 |-Branch one:
% 207.92/137.98 | (250) ~ (all_47_3_85 = 0)
% 207.92/137.98 |
% 207.92/137.98 | Equations (192) can reduce 250 to:
% 207.92/137.98 | (243) $false
% 207.92/137.98 |
% 207.92/137.98 |-The branch is then unsatisfiable
% 207.92/137.98 |-Branch two:
% 207.92/137.98 | (192) all_47_3_85 = 0
% 207.92/137.98 | (253) all_47_0_82 = 0 & all_47_1_83 = 0
% 207.92/137.98 |
% 207.92/137.98 | Applying alpha-rule on (253) yields:
% 207.92/137.98 | (254) all_47_0_82 = 0
% 207.92/137.98 | (255) all_47_1_83 = 0
% 207.92/137.98 |
% 207.92/137.98 | Combining equations (182,254) yields a new equation:
% 207.92/137.98 | (256) all_31_6_54 = 0
% 207.92/137.98 |
% 207.92/137.98 | Simplifying 256 yields:
% 207.92/137.98 | (257) all_31_6_54 = 0
% 207.92/137.98 |
% 207.92/137.98 | From (257) and (104) follows:
% 207.92/137.98 | (258) le(all_0_7_7, n) = 0
% 207.92/137.98 |
% 207.92/137.98 | From (255) and (143) follows:
% 207.92/137.98 | (259) le(all_0_13_13, all_0_7_7) = 0
% 207.92/137.98 |
% 207.92/137.98 +-Applying beta-rule and splitting (245), into two cases.
% 207.92/137.98 |-Branch one:
% 207.92/137.98 | (260) ~ (all_33_7_64 = 0)
% 207.92/137.98 |
% 207.92/137.98 | Equations (220) can reduce 260 to:
% 207.92/137.98 | (243) $false
% 207.92/137.98 |
% 207.92/137.98 |-The branch is then unsatisfiable
% 207.92/137.98 |-Branch two:
% 207.92/137.98 | (220) all_33_7_64 = 0
% 207.92/137.98 | (263) ~ (all_33_8_65 = 0) | ( ~ (all_33_0_57 = all_33_1_58) & ~ (all_33_2_59 = all_33_3_60) & ~ (all_33_4_61 = all_33_5_62))
% 207.92/137.98 |
% 207.92/137.98 +-Applying beta-rule and splitting (263), into two cases.
% 207.92/137.98 |-Branch one:
% 207.92/137.98 | (264) ~ (all_33_8_65 = 0)
% 207.92/137.98 |
% 207.92/137.98 | Equations (217) can reduce 264 to:
% 207.92/137.98 | (243) $false
% 207.92/137.98 |
% 207.92/137.98 |-The branch is then unsatisfiable
% 207.92/137.98 |-Branch two:
% 207.92/137.98 | (217) all_33_8_65 = 0
% 207.92/137.98 | (267) ~ (all_33_0_57 = all_33_1_58) & ~ (all_33_2_59 = all_33_3_60) & ~ (all_33_4_61 = all_33_5_62)
% 207.92/137.98 |
% 207.92/137.98 | Applying alpha-rule on (267) yields:
% 207.92/137.98 | (268) ~ (all_33_0_57 = all_33_1_58)
% 207.92/137.98 | (269) ~ (all_33_2_59 = all_33_3_60)
% 207.92/137.98 | (270) ~ (all_33_4_61 = all_33_5_62)
% 207.92/137.98 |
% 207.92/137.98 | Instantiating formula (39) with all_33_5_62, all_0_12_12, all_39_2_71, all_33_3_60 and discharging atoms plus(all_33_5_62, all_0_12_12) = all_39_2_71, plus(all_33_5_62, all_0_12_12) = all_33_3_60, yields:
% 207.92/137.98 | (271) all_39_2_71 = all_33_3_60
% 207.92/137.98 |
% 207.92/137.98 | Instantiating formula (36) with all_33_5_62, all_0_12_12, all_39_0_69, all_33_1_58 and discharging atoms minus(all_33_5_62, all_0_12_12) = all_39_0_69, minus(all_33_5_62, all_0_12_12) = all_33_1_58, yields:
% 207.92/137.98 | (272) all_39_0_69 = all_33_1_58
% 207.92/137.98 |
% 207.92/137.98 | From (271) and (227) follows:
% 207.92/137.98 | (117) plus(all_33_5_62, all_0_12_12) = all_33_3_60
% 207.92/137.98 |
% 207.92/137.98 | From (272) and (237) follows:
% 207.92/137.98 | (121) minus(all_33_5_62, all_0_12_12) = all_33_1_58
% 207.92/137.98 |
% 207.92/137.98 | Instantiating formula (8) with all_33_3_60, all_33_2_59, all_0_12_12, all_33_5_62, all_0_11_11, all_33_4_61 and discharging atoms plus(all_33_4_61, all_0_11_11) = all_33_2_59, plus(all_33_5_62, all_0_12_12) = all_33_3_60, yields:
% 207.92/137.99 | (275) all_33_2_59 = all_33_3_60 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_33_4_61, all_33_5_62) = v0 & minus(all_0_12_12, all_0_11_11) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (8) with all_33_2_59, all_33_3_60, all_0_11_11, all_33_4_61, all_0_12_12, all_33_5_62 and discharging atoms plus(all_33_4_61, all_0_11_11) = all_33_2_59, plus(all_33_5_62, all_0_12_12) = all_33_3_60, yields:
% 207.92/137.99 | (276) all_33_2_59 = all_33_3_60 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_33_5_62, all_33_4_61) = v0 & minus(all_0_11_11, all_0_12_12) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (8) with all_31_2_50, all_31_3_51, all_0_7_7, all_0_6_6, all_0_9_9, all_0_5_5 and discharging atoms plus(all_0_5_5, all_0_9_9) = all_31_3_51, plus(all_0_6_6, all_0_7_7) = all_31_2_50, yields:
% 207.92/137.99 | (277) all_31_2_50 = all_31_3_51 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_6_6) = v0 & minus(all_0_7_7, all_0_9_9) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (8) with all_31_3_51, all_31_2_50, all_0_9_9, all_0_5_5, all_0_7_7, all_0_6_6 and discharging atoms plus(all_0_5_5, all_0_9_9) = all_31_3_51, plus(all_0_6_6, all_0_7_7) = all_31_2_50, yields:
% 207.92/137.99 | (278) all_31_2_50 = all_31_3_51 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_5_5) = v0 & minus(all_0_9_9, all_0_7_7) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (13) with all_0_7_7 and discharging atoms le(all_0_7_7, n) = 0, yields:
% 207.92/137.99 | (279) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (le(v1, n) = v3 & le(all_0_13_13, v1) = v2 & le(all_0_13_13, all_0_7_7) = v0 & perm(all_0_7_7) = v1 & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (2) with all_0_11_11, all_0_10_10, all_0_12_12 and discharging atoms le(all_0_10_10, all_0_11_11) = 0, le(all_0_12_12, all_0_10_10) = 0, yields:
% 207.92/137.99 | (280) le(all_0_12_12, all_0_11_11) = 0
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (15) with all_0_13_13, all_0_7_7, n0 and discharging atoms le(all_0_13_13, all_0_7_7) = 0, s(n0) = all_0_13_13, yields:
% 207.92/137.99 | (281) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (p(all_0_7_7) = v4 & p(n0) = v3 & plus(v4, all_0_7_7) = v6 & plus(v3, n0) = v5 & le(all_0_7_7, n) = v2 & le(all_0_13_13, n0) = v0 & le(n0, n) = v1 & minus(v4, all_0_7_7) = v8 & minus(v3, n0) = v7 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v8 = v7) & ~ (v6 = v5) & ~ (v4 = v3))))
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (23) with all_0_7_7 and discharging atoms le(all_0_13_13, all_0_7_7) = 0, yields:
% 207.92/137.99 | (282) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (le(v1, n) = v3 & le(all_0_7_7, n) = v0 & le(all_0_13_13, v1) = v2 & perm(all_0_7_7) = v1 & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (27) with all_21_3_39, all_0_11_11, all_0_12_12, all_0_13_13 and discharging atoms le(all_0_13_13, all_0_11_11) = all_21_3_39, le(all_0_13_13, all_0_12_12) = 0, yields:
% 207.92/137.99 | (283) all_21_3_39 = 0 | ? [v0] : ( ~ (v0 = 0) & le(all_0_12_12, all_0_11_11) = v0)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (37) with all_33_0_57, all_33_4_61, all_0_11_11 and discharging atoms minus(all_33_4_61, all_0_11_11) = all_33_0_57, yields:
% 207.92/137.99 | (284) ? [v0] : ? [v1] : (perm(all_33_4_61) = v1 & perm(all_0_11_11) = v0 & minus(v0, v1) = all_33_0_57)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (30) with all_33_1_58, all_33_0_57, all_0_12_12, all_33_5_62, all_0_11_11, all_33_4_61 and discharging atoms minus(all_33_4_61, all_0_11_11) = all_33_0_57, minus(all_33_5_62, all_0_12_12) = all_33_1_58, yields:
% 207.92/137.99 | (285) all_33_0_57 = all_33_1_58 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_33_4_61, all_33_5_62) = v0 & minus(all_0_11_11, all_0_12_12) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (30) with all_33_0_57, all_33_1_58, all_0_11_11, all_33_4_61, all_0_12_12, all_33_5_62 and discharging atoms minus(all_33_4_61, all_0_11_11) = all_33_0_57, minus(all_33_5_62, all_0_12_12) = all_33_1_58, yields:
% 207.92/137.99 | (286) all_33_0_57 = all_33_1_58 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_33_5_62, all_33_4_61) = v0 & minus(all_0_12_12, all_0_11_11) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (37) with all_33_1_58, all_33_5_62, all_0_12_12 and discharging atoms minus(all_33_5_62, all_0_12_12) = all_33_1_58, yields:
% 207.92/137.99 | (287) ? [v0] : ? [v1] : (perm(all_33_5_62) = v1 & perm(all_0_12_12) = v0 & minus(v0, v1) = all_33_1_58)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (37) with all_0_9_9, all_0_0_0, all_0_11_11 and discharging atoms minus(all_0_0_0, all_0_11_11) = all_0_9_9, yields:
% 207.92/137.99 | (288) ? [v0] : ? [v1] : (perm(all_0_0_0) = v1 & perm(all_0_11_11) = v0 & minus(v0, v1) = all_0_9_9)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (37) with all_0_7_7, all_0_0_0, all_0_12_12 and discharging atoms minus(all_0_0_0, all_0_12_12) = all_0_7_7, yields:
% 207.92/137.99 | (289) ? [v0] : ? [v1] : (perm(all_0_0_0) = v1 & perm(all_0_12_12) = v0 & minus(v0, v1) = all_0_7_7)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (37) with all_59_0_97, all_0_5_5, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_5_5) = all_59_0_97, yields:
% 207.92/137.99 | (290) ? [v0] : ? [v1] : (perm(all_0_5_5) = v1 & perm(all_0_5_5) = v0 & minus(v0, v1) = all_59_0_97)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (37) with all_31_1_49, all_0_5_5, all_0_9_9 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/137.99 | (291) ? [v0] : ? [v1] : (perm(all_0_5_5) = v1 & perm(all_0_9_9) = v0 & minus(v0, v1) = all_31_1_49)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (37) with all_55_0_92, all_0_6_6, all_0_6_6 and discharging atoms minus(all_0_6_6, all_0_6_6) = all_55_0_92, yields:
% 207.92/137.99 | (292) ? [v0] : ? [v1] : (perm(all_0_6_6) = v1 & perm(all_0_6_6) = v0 & minus(v0, v1) = all_55_0_92)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_0_6_6, all_0_9_9, all_0_7_7, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/137.99 | (293) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_0_7_7) = v0 & plus(all_0_9_9, all_0_6_6) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_0_5_5, all_0_7_7, all_0_9_9, all_0_6_6 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/137.99 | (294) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_0_9_9) = v0 & plus(all_0_7_7, all_0_5_5) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_0_7_7, all_0_6_6, all_0_9_9, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/137.99 | (295) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_6_6) = v0 & minus(all_0_9_9, all_0_7_7) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_0_9_9, all_0_5_5, all_0_7_7, all_0_6_6 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/137.99 | (296) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_5_5) = v0 & minus(all_0_7_7, all_0_9_9) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (37) with all_31_0_48, all_0_6_6, all_0_7_7 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/137.99 | (297) ? [v0] : ? [v1] : (perm(all_0_6_6) = v1 & perm(all_0_7_7) = v0 & minus(v0, v1) = all_31_0_48)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (9) with all_0_2_2, all_0_1_1, all_0_7_7, all_0_11_11, all_23_0_40, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, minus(all_0_7_7, all_23_0_40) = all_0_2_2, yields:
% 207.92/137.99 | (298) all_0_1_1 = all_0_2_2 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_23_0_40) = v0 & plus(all_0_11_11, all_0_7_7) = v1)
% 207.92/137.99 |
% 207.92/137.99 | Instantiating formula (22) with all_0_2_2, all_23_0_40, all_0_7_7, all_0_12_12, all_0_6_6 and discharging atoms minus(all_0_6_6, all_0_12_12) = all_0_2_2, minus(all_0_7_7, all_23_0_40) = all_0_2_2, yields:
% 207.92/137.99 | (299) ? [v0] : (minus(all_0_6_6, all_0_7_7) = v0 & minus(all_0_12_12, all_23_0_40) = v0)
% 207.92/138.00 |
% 207.92/138.00 | Instantiating formula (37) with all_0_2_2, all_0_7_7, all_23_0_40 and discharging atoms minus(all_0_7_7, all_23_0_40) = all_0_2_2, yields:
% 207.92/138.00 | (300) ? [v0] : ? [v1] : (perm(all_23_0_40) = v0 & perm(all_0_7_7) = v1 & minus(v0, v1) = all_0_2_2)
% 207.92/138.00 |
% 207.92/138.00 | Instantiating formula (22) with all_0_1_1, all_17_0_33, all_0_9_9, all_0_11_11, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_1_1, minus(all_0_9_9, all_17_0_33) = all_0_1_1, yields:
% 207.92/138.00 | (301) ? [v0] : (minus(all_0_5_5, all_0_9_9) = v0 & minus(all_0_11_11, all_17_0_33) = v0)
% 207.92/138.00 |
% 207.92/138.00 | Instantiating formula (9) with all_0_2_2, all_0_1_1, all_0_7_7, all_17_0_33, all_23_0_40, all_0_9_9 and discharging atoms minus(all_0_7_7, all_23_0_40) = all_0_2_2, minus(all_0_9_9, all_17_0_33) = all_0_1_1, yields:
% 207.92/138.00 | (302) all_0_1_1 = all_0_2_2 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_7_7) = v1 & plus(all_0_9_9, all_23_0_40) = v0)
% 207.92/138.00 |
% 207.92/138.00 | Instantiating formula (30) with all_0_1_1, all_0_2_2, all_17_0_33, all_0_9_9, all_23_0_40, all_0_7_7 and discharging atoms minus(all_0_7_7, all_23_0_40) = all_0_2_2, minus(all_0_9_9, all_17_0_33) = all_0_1_1, yields:
% 207.92/138.00 | (303) all_0_1_1 = all_0_2_2 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_7_7, all_0_9_9) = v0)
% 207.92/138.00 |
% 207.92/138.00 | Instantiating formula (30) with all_0_2_2, all_0_1_1, all_23_0_40, all_0_7_7, all_17_0_33, all_0_9_9 and discharging atoms minus(all_0_7_7, all_23_0_40) = all_0_2_2, minus(all_0_9_9, all_17_0_33) = all_0_1_1, yields:
% 207.92/138.00 | (304) all_0_1_1 = all_0_2_2 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_23_0_40) = v1 & minus(all_0_9_9, all_0_7_7) = v0)
% 207.92/138.00 |
% 207.92/138.00 | Instantiating formula (37) with all_59_0_97, all_0_11_11, all_0_11_11 and discharging atoms minus(all_0_11_11, all_0_11_11) = all_59_0_97, yields:
% 207.92/138.00 | (305) ? [v0] : ? [v1] : (perm(all_0_11_11) = v1 & perm(all_0_11_11) = v0 & minus(v0, v1) = all_59_0_97)
% 207.92/138.00 |
% 207.92/138.00 | Instantiating formula (37) with all_55_0_92, all_0_12_12, all_0_12_12 and discharging atoms minus(all_0_12_12, all_0_12_12) = all_55_0_92, yields:
% 207.92/138.00 | (306) ? [v0] : ? [v1] : (perm(all_0_12_12) = v1 & perm(all_0_12_12) = v0 & minus(v0, v1) = all_55_0_92)
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (292) with all_113_0_106, all_113_1_107 yields:
% 207.92/138.00 | (307) perm(all_0_6_6) = all_113_0_106 & perm(all_0_6_6) = all_113_1_107 & minus(all_113_1_107, all_113_0_106) = all_55_0_92
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (307) yields:
% 207.92/138.00 | (308) perm(all_0_6_6) = all_113_0_106
% 207.92/138.00 | (309) perm(all_0_6_6) = all_113_1_107
% 207.92/138.00 | (310) minus(all_113_1_107, all_113_0_106) = all_55_0_92
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (291) with all_115_0_108, all_115_1_109 yields:
% 207.92/138.00 | (311) perm(all_0_5_5) = all_115_0_108 & perm(all_0_9_9) = all_115_1_109 & minus(all_115_1_109, all_115_0_108) = all_31_1_49
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (311) yields:
% 207.92/138.00 | (312) perm(all_0_5_5) = all_115_0_108
% 207.92/138.00 | (313) perm(all_0_9_9) = all_115_1_109
% 207.92/138.00 | (314) minus(all_115_1_109, all_115_0_108) = all_31_1_49
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (287) with all_123_0_114, all_123_1_115 yields:
% 207.92/138.00 | (315) perm(all_33_5_62) = all_123_0_114 & perm(all_0_12_12) = all_123_1_115 & minus(all_123_1_115, all_123_0_114) = all_33_1_58
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (315) yields:
% 207.92/138.00 | (316) perm(all_33_5_62) = all_123_0_114
% 207.92/138.00 | (317) perm(all_0_12_12) = all_123_1_115
% 207.92/138.00 | (318) minus(all_123_1_115, all_123_0_114) = all_33_1_58
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (284) with all_129_0_118, all_129_1_119 yields:
% 207.92/138.00 | (319) perm(all_33_4_61) = all_129_0_118 & perm(all_0_11_11) = all_129_1_119 & minus(all_129_1_119, all_129_0_118) = all_33_0_57
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (319) yields:
% 207.92/138.00 | (320) perm(all_33_4_61) = all_129_0_118
% 207.92/138.00 | (321) perm(all_0_11_11) = all_129_1_119
% 207.92/138.00 | (322) minus(all_129_1_119, all_129_0_118) = all_33_0_57
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (290) with all_145_0_129, all_145_1_130 yields:
% 207.92/138.00 | (323) perm(all_0_5_5) = all_145_0_129 & perm(all_0_5_5) = all_145_1_130 & minus(all_145_1_130, all_145_0_129) = all_59_0_97
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (323) yields:
% 207.92/138.00 | (324) perm(all_0_5_5) = all_145_0_129
% 207.92/138.00 | (325) perm(all_0_5_5) = all_145_1_130
% 207.92/138.00 | (326) minus(all_145_1_130, all_145_0_129) = all_59_0_97
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (289) with all_149_0_132, all_149_1_133 yields:
% 207.92/138.00 | (327) perm(all_0_0_0) = all_149_0_132 & perm(all_0_12_12) = all_149_1_133 & minus(all_149_1_133, all_149_0_132) = all_0_7_7
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (327) yields:
% 207.92/138.00 | (328) perm(all_0_0_0) = all_149_0_132
% 207.92/138.00 | (329) perm(all_0_12_12) = all_149_1_133
% 207.92/138.00 | (330) minus(all_149_1_133, all_149_0_132) = all_0_7_7
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (306) with all_161_0_148, all_161_1_149 yields:
% 207.92/138.00 | (331) perm(all_0_12_12) = all_161_0_148 & perm(all_0_12_12) = all_161_1_149 & minus(all_161_1_149, all_161_0_148) = all_55_0_92
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (331) yields:
% 207.92/138.00 | (332) perm(all_0_12_12) = all_161_0_148
% 207.92/138.00 | (333) perm(all_0_12_12) = all_161_1_149
% 207.92/138.00 | (334) minus(all_161_1_149, all_161_0_148) = all_55_0_92
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (301) with all_177_0_158 yields:
% 207.92/138.00 | (335) minus(all_0_5_5, all_0_9_9) = all_177_0_158 & minus(all_0_11_11, all_17_0_33) = all_177_0_158
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (335) yields:
% 207.92/138.00 | (336) minus(all_0_5_5, all_0_9_9) = all_177_0_158
% 207.92/138.00 | (337) minus(all_0_11_11, all_17_0_33) = all_177_0_158
% 207.92/138.00 |
% 207.92/138.00 | Instantiating (300) with all_179_0_159, all_179_1_160 yields:
% 207.92/138.00 | (338) perm(all_23_0_40) = all_179_1_160 & perm(all_0_7_7) = all_179_0_159 & minus(all_179_1_160, all_179_0_159) = all_0_2_2
% 207.92/138.00 |
% 207.92/138.00 | Applying alpha-rule on (338) yields:
% 207.92/138.00 | (339) perm(all_23_0_40) = all_179_1_160
% 207.92/138.00 | (340) perm(all_0_7_7) = all_179_0_159
% 207.92/138.00 | (341) minus(all_179_1_160, all_179_0_159) = all_0_2_2
% 207.92/138.01 |
% 207.92/138.01 | Instantiating (299) with all_185_0_163 yields:
% 207.92/138.01 | (342) minus(all_0_6_6, all_0_7_7) = all_185_0_163 & minus(all_0_12_12, all_23_0_40) = all_185_0_163
% 207.92/138.01 |
% 207.92/138.01 | Applying alpha-rule on (342) yields:
% 207.92/138.01 | (343) minus(all_0_6_6, all_0_7_7) = all_185_0_163
% 207.92/138.01 | (344) minus(all_0_12_12, all_23_0_40) = all_185_0_163
% 207.92/138.01 |
% 207.92/138.01 | Instantiating (297) with all_191_0_166, all_191_1_167 yields:
% 207.92/138.01 | (345) perm(all_0_6_6) = all_191_0_166 & perm(all_0_7_7) = all_191_1_167 & minus(all_191_1_167, all_191_0_166) = all_31_0_48
% 207.92/138.01 |
% 207.92/138.01 | Applying alpha-rule on (345) yields:
% 207.92/138.01 | (346) perm(all_0_6_6) = all_191_0_166
% 207.92/138.01 | (347) perm(all_0_7_7) = all_191_1_167
% 207.92/138.01 | (348) minus(all_191_1_167, all_191_0_166) = all_31_0_48
% 207.92/138.01 |
% 207.92/138.01 | Instantiating (305) with all_195_0_169, all_195_1_170 yields:
% 207.92/138.01 | (349) perm(all_0_11_11) = all_195_0_169 & perm(all_0_11_11) = all_195_1_170 & minus(all_195_1_170, all_195_0_169) = all_59_0_97
% 207.92/138.01 |
% 207.92/138.01 | Applying alpha-rule on (349) yields:
% 207.92/138.01 | (350) perm(all_0_11_11) = all_195_0_169
% 207.92/138.01 | (351) perm(all_0_11_11) = all_195_1_170
% 207.92/138.01 | (352) minus(all_195_1_170, all_195_0_169) = all_59_0_97
% 207.92/138.01 |
% 207.92/138.01 | Instantiating (288) with all_201_0_176, all_201_1_177 yields:
% 207.92/138.01 | (353) perm(all_0_0_0) = all_201_0_176 & perm(all_0_11_11) = all_201_1_177 & minus(all_201_1_177, all_201_0_176) = all_0_9_9
% 207.92/138.01 |
% 207.92/138.01 | Applying alpha-rule on (353) yields:
% 207.92/138.01 | (354) perm(all_0_0_0) = all_201_0_176
% 207.92/138.01 | (355) perm(all_0_11_11) = all_201_1_177
% 207.92/138.01 | (356) minus(all_201_1_177, all_201_0_176) = all_0_9_9
% 207.92/138.01 |
% 207.92/138.01 | Instantiating (281) with all_243_0_204, all_243_1_205, all_243_2_206, all_243_3_207, all_243_4_208, all_243_5_209, all_243_6_210, all_243_7_211, all_243_8_212 yields:
% 207.92/138.01 | (357) p(all_0_7_7) = all_243_4_208 & p(n0) = all_243_5_209 & plus(all_243_4_208, all_0_7_7) = all_243_2_206 & plus(all_243_5_209, n0) = all_243_3_207 & le(all_0_7_7, n) = all_243_6_210 & le(all_0_13_13, n0) = all_243_8_212 & le(n0, n) = all_243_7_211 & minus(all_243_4_208, all_0_7_7) = all_243_0_204 & minus(all_243_5_209, n0) = all_243_1_205 & ( ~ (all_243_6_210 = 0) | ~ (all_243_7_211 = 0) | ~ (all_243_8_212 = 0) | ( ~ (all_243_0_204 = all_243_1_205) & ~ (all_243_2_206 = all_243_3_207) & ~ (all_243_4_208 = all_243_5_209)))
% 207.92/138.01 |
% 207.92/138.01 | Applying alpha-rule on (357) yields:
% 207.92/138.01 | (358) le(n0, n) = all_243_7_211
% 207.92/138.01 | (359) minus(all_243_5_209, n0) = all_243_1_205
% 207.92/138.01 | (360) plus(all_243_5_209, n0) = all_243_3_207
% 207.92/138.01 | (361) le(all_0_13_13, n0) = all_243_8_212
% 207.92/138.01 | (362) plus(all_243_4_208, all_0_7_7) = all_243_2_206
% 207.92/138.01 | (363) ~ (all_243_6_210 = 0) | ~ (all_243_7_211 = 0) | ~ (all_243_8_212 = 0) | ( ~ (all_243_0_204 = all_243_1_205) & ~ (all_243_2_206 = all_243_3_207) & ~ (all_243_4_208 = all_243_5_209))
% 207.92/138.01 | (364) le(all_0_7_7, n) = all_243_6_210
% 207.92/138.01 | (365) p(n0) = all_243_5_209
% 207.92/138.01 | (366) minus(all_243_4_208, all_0_7_7) = all_243_0_204
% 207.92/138.01 | (367) p(all_0_7_7) = all_243_4_208
% 207.92/138.01 |
% 207.92/138.01 | Instantiating (282) with all_255_0_234, all_255_1_235, all_255_2_236, all_255_3_237 yields:
% 207.92/138.01 | (368) le(all_255_2_236, n) = all_255_0_234 & le(all_0_7_7, n) = all_255_3_237 & le(all_0_13_13, all_255_2_236) = all_255_1_235 & perm(all_0_7_7) = all_255_2_236 & ( ~ (all_255_3_237 = 0) | (all_255_0_234 = 0 & all_255_1_235 = 0))
% 207.92/138.01 |
% 207.92/138.01 | Applying alpha-rule on (368) yields:
% 207.92/138.01 | (369) le(all_0_7_7, n) = all_255_3_237
% 207.92/138.01 | (370) ~ (all_255_3_237 = 0) | (all_255_0_234 = 0 & all_255_1_235 = 0)
% 207.92/138.01 | (371) le(all_0_13_13, all_255_2_236) = all_255_1_235
% 207.92/138.01 | (372) perm(all_0_7_7) = all_255_2_236
% 207.92/138.01 | (373) le(all_255_2_236, n) = all_255_0_234
% 207.92/138.01 |
% 207.92/138.01 | Instantiating (279) with all_257_0_238, all_257_1_239, all_257_2_240, all_257_3_241 yields:
% 207.92/138.01 | (374) le(all_257_2_240, n) = all_257_0_238 & le(all_0_13_13, all_257_2_240) = all_257_1_239 & le(all_0_13_13, all_0_7_7) = all_257_3_241 & perm(all_0_7_7) = all_257_2_240 & ( ~ (all_257_3_241 = 0) | (all_257_0_238 = 0 & all_257_1_239 = 0))
% 207.92/138.01 |
% 207.92/138.01 | Applying alpha-rule on (374) yields:
% 207.92/138.01 | (375) le(all_0_13_13, all_0_7_7) = all_257_3_241
% 207.92/138.01 | (376) ~ (all_257_3_241 = 0) | (all_257_0_238 = 0 & all_257_1_239 = 0)
% 207.92/138.01 | (377) le(all_0_13_13, all_257_2_240) = all_257_1_239
% 207.92/138.01 | (378) perm(all_0_7_7) = all_257_2_240
% 207.92/138.01 | (379) le(all_257_2_240, n) = all_257_0_238
% 207.92/138.01 |
% 207.92/138.01 +-Applying beta-rule and splitting (283), into two cases.
% 207.92/138.01 |-Branch one:
% 207.92/138.01 | (380) all_21_3_39 = 0
% 207.92/138.01 |
% 207.92/138.01 +-Applying beta-rule and splitting (91), into two cases.
% 207.92/138.01 |-Branch one:
% 207.92/138.01 | (381) ~ (all_21_2_38 = 0)
% 207.92/138.01 |
% 207.92/138.01 | Equations (221) can reduce 381 to:
% 207.92/138.01 | (243) $false
% 207.92/138.01 |
% 207.92/138.01 |-The branch is then unsatisfiable
% 207.92/138.01 |-Branch two:
% 207.92/138.01 | (221) all_21_2_38 = 0
% 207.92/138.01 | (384) ~ (all_21_3_39 = 0) | (all_21_0_36 = 0 & all_21_1_37 = 0)
% 207.92/138.01 |
% 207.92/138.01 +-Applying beta-rule and splitting (384), into two cases.
% 207.92/138.01 |-Branch one:
% 207.92/138.01 | (385) ~ (all_21_3_39 = 0)
% 207.92/138.01 |
% 207.92/138.01 | Equations (380) can reduce 385 to:
% 207.92/138.01 | (243) $false
% 207.92/138.01 |
% 207.92/138.01 |-The branch is then unsatisfiable
% 207.92/138.01 |-Branch two:
% 207.92/138.01 | (380) all_21_3_39 = 0
% 207.92/138.01 | (388) all_21_0_36 = 0 & all_21_1_37 = 0
% 207.92/138.01 |
% 207.92/138.01 | Applying alpha-rule on (388) yields:
% 207.92/138.01 | (389) all_21_0_36 = 0
% 207.92/138.01 | (390) all_21_1_37 = 0
% 207.92/138.01 |
% 207.92/138.01 | Combining equations (390,190) yields a new equation:
% 207.92/138.01 | (391) all_31_8_56 = 0
% 207.92/138.01 |
% 207.92/138.01 | Combining equations (389,183) yields a new equation:
% 207.92/138.01 | (392) all_31_7_55 = 0
% 207.92/138.01 |
% 207.92/138.01 +-Applying beta-rule and splitting (110), into two cases.
% 207.92/138.01 |-Branch one:
% 207.92/138.01 | (393) ~ (all_31_6_54 = 0)
% 207.92/138.01 |
% 207.92/138.01 | Equations (257) can reduce 393 to:
% 207.92/138.01 | (243) $false
% 207.92/138.01 |
% 207.92/138.01 |-The branch is then unsatisfiable
% 207.92/138.01 |-Branch two:
% 207.92/138.01 | (257) all_31_6_54 = 0
% 207.92/138.01 | (396) ~ (all_31_7_55 = 0) | ~ (all_31_8_56 = 0) | ( ~ (all_31_0_48 = all_31_1_49) & ~ (all_31_2_50 = all_31_3_51) & ~ (all_31_4_52 = all_31_5_53))
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (275), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (397) all_33_2_59 = all_33_3_60
% 207.92/138.02 |
% 207.92/138.02 | Equations (397) can reduce 269 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (269) ~ (all_33_2_59 = all_33_3_60)
% 207.92/138.02 | (400) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_33_4_61, all_33_5_62) = v0 & minus(all_0_12_12, all_0_11_11) = v1)
% 207.92/138.02 |
% 207.92/138.02 | Instantiating (400) with all_352_0_289, all_352_1_290 yields:
% 207.92/138.02 | (401) ~ (all_352_0_289 = all_352_1_290) & minus(all_33_4_61, all_33_5_62) = all_352_1_290 & minus(all_0_12_12, all_0_11_11) = all_352_0_289
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (401) yields:
% 207.92/138.02 | (402) ~ (all_352_0_289 = all_352_1_290)
% 207.92/138.02 | (403) minus(all_33_4_61, all_33_5_62) = all_352_1_290
% 207.92/138.02 | (404) minus(all_0_12_12, all_0_11_11) = all_352_0_289
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (276), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (397) all_33_2_59 = all_33_3_60
% 207.92/138.02 |
% 207.92/138.02 | Equations (397) can reduce 269 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (269) ~ (all_33_2_59 = all_33_3_60)
% 207.92/138.02 | (408) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_33_5_62, all_33_4_61) = v0 & minus(all_0_11_11, all_0_12_12) = v1)
% 207.92/138.02 |
% 207.92/138.02 | Instantiating (408) with all_357_0_291, all_357_1_292 yields:
% 207.92/138.02 | (409) ~ (all_357_0_291 = all_357_1_292) & minus(all_33_5_62, all_33_4_61) = all_357_1_292 & minus(all_0_11_11, all_0_12_12) = all_357_0_291
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (409) yields:
% 207.92/138.02 | (410) ~ (all_357_0_291 = all_357_1_292)
% 207.92/138.02 | (411) minus(all_33_5_62, all_33_4_61) = all_357_1_292
% 207.92/138.02 | (412) minus(all_0_11_11, all_0_12_12) = all_357_0_291
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (286), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (413) all_33_0_57 = all_33_1_58
% 207.92/138.02 |
% 207.92/138.02 | Equations (413) can reduce 268 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (268) ~ (all_33_0_57 = all_33_1_58)
% 207.92/138.02 | (416) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_33_5_62, all_33_4_61) = v0 & minus(all_0_12_12, all_0_11_11) = v1)
% 207.92/138.02 |
% 207.92/138.02 | Instantiating (416) with all_363_0_293, all_363_1_294 yields:
% 207.92/138.02 | (417) ~ (all_363_0_293 = all_363_1_294) & minus(all_33_5_62, all_33_4_61) = all_363_1_294 & minus(all_0_12_12, all_0_11_11) = all_363_0_293
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (417) yields:
% 207.92/138.02 | (418) ~ (all_363_0_293 = all_363_1_294)
% 207.92/138.02 | (419) minus(all_33_5_62, all_33_4_61) = all_363_1_294
% 207.92/138.02 | (420) minus(all_0_12_12, all_0_11_11) = all_363_0_293
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (396), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (421) ~ (all_31_7_55 = 0)
% 207.92/138.02 |
% 207.92/138.02 | Equations (392) can reduce 421 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (392) all_31_7_55 = 0
% 207.92/138.02 | (424) ~ (all_31_8_56 = 0) | ( ~ (all_31_0_48 = all_31_1_49) & ~ (all_31_2_50 = all_31_3_51) & ~ (all_31_4_52 = all_31_5_53))
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (424), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (425) ~ (all_31_8_56 = 0)
% 207.92/138.02 |
% 207.92/138.02 | Equations (391) can reduce 425 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (391) all_31_8_56 = 0
% 207.92/138.02 | (428) ~ (all_31_0_48 = all_31_1_49) & ~ (all_31_2_50 = all_31_3_51) & ~ (all_31_4_52 = all_31_5_53)
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (428) yields:
% 207.92/138.02 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.02 | (430) ~ (all_31_2_50 = all_31_3_51)
% 207.92/138.02 | (431) ~ (all_31_4_52 = all_31_5_53)
% 207.92/138.02 |
% 207.92/138.02 | Equations (219,222) can reduce 431 to:
% 207.92/138.02 | (432) ~ (all_0_5_5 = all_0_6_6)
% 207.92/138.02 |
% 207.92/138.02 | Simplifying 432 yields:
% 207.92/138.02 | (433) ~ (all_0_5_5 = all_0_6_6)
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (285), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (413) all_33_0_57 = all_33_1_58
% 207.92/138.02 |
% 207.92/138.02 | Equations (413) can reduce 268 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (268) ~ (all_33_0_57 = all_33_1_58)
% 207.92/138.02 | (437) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_33_4_61, all_33_5_62) = v0 & minus(all_0_11_11, all_0_12_12) = v1)
% 207.92/138.02 |
% 207.92/138.02 | Instantiating (437) with all_377_0_295, all_377_1_296 yields:
% 207.92/138.02 | (438) ~ (all_377_0_295 = all_377_1_296) & minus(all_33_4_61, all_33_5_62) = all_377_1_296 & minus(all_0_11_11, all_0_12_12) = all_377_0_295
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (438) yields:
% 207.92/138.02 | (439) ~ (all_377_0_295 = all_377_1_296)
% 207.92/138.02 | (440) minus(all_33_4_61, all_33_5_62) = all_377_1_296
% 207.92/138.02 | (441) minus(all_0_11_11, all_0_12_12) = all_377_0_295
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (295), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.02 |
% 207.92/138.02 | Equations (442) can reduce 429 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.02 | (445) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_6_6) = v0 & minus(all_0_9_9, all_0_7_7) = v1)
% 207.92/138.02 |
% 207.92/138.02 | Instantiating (445) with all_382_0_297, all_382_1_298 yields:
% 207.92/138.02 | (446) ~ (all_382_0_297 = all_382_1_298) & minus(all_0_5_5, all_0_6_6) = all_382_1_298 & minus(all_0_9_9, all_0_7_7) = all_382_0_297
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (446) yields:
% 207.92/138.02 | (447) ~ (all_382_0_297 = all_382_1_298)
% 207.92/138.02 | (448) minus(all_0_5_5, all_0_6_6) = all_382_1_298
% 207.92/138.02 | (449) minus(all_0_9_9, all_0_7_7) = all_382_0_297
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (293), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.02 |
% 207.92/138.02 | Equations (442) can reduce 429 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.02 | (453) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_0_7_7) = v0 & plus(all_0_9_9, all_0_6_6) = v1)
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (294), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.02 |
% 207.92/138.02 | Equations (442) can reduce 429 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.02 | (457) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_0_9_9) = v0 & plus(all_0_7_7, all_0_5_5) = v1)
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (277), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (458) all_31_2_50 = all_31_3_51
% 207.92/138.02 |
% 207.92/138.02 | Equations (458) can reduce 430 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (430) ~ (all_31_2_50 = all_31_3_51)
% 207.92/138.02 | (461) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_6_6) = v0 & minus(all_0_7_7, all_0_9_9) = v1)
% 207.92/138.02 |
% 207.92/138.02 | Instantiating (461) with all_401_0_303, all_401_1_304 yields:
% 207.92/138.02 | (462) ~ (all_401_0_303 = all_401_1_304) & minus(all_0_5_5, all_0_6_6) = all_401_1_304 & minus(all_0_7_7, all_0_9_9) = all_401_0_303
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (462) yields:
% 207.92/138.02 | (463) ~ (all_401_0_303 = all_401_1_304)
% 207.92/138.02 | (464) minus(all_0_5_5, all_0_6_6) = all_401_1_304
% 207.92/138.02 | (465) minus(all_0_7_7, all_0_9_9) = all_401_0_303
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (278), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (458) all_31_2_50 = all_31_3_51
% 207.92/138.02 |
% 207.92/138.02 | Equations (458) can reduce 430 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (430) ~ (all_31_2_50 = all_31_3_51)
% 207.92/138.02 | (469) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_5_5) = v0 & minus(all_0_9_9, all_0_7_7) = v1)
% 207.92/138.02 |
% 207.92/138.02 | Instantiating (469) with all_406_0_305, all_406_1_306 yields:
% 207.92/138.02 | (470) ~ (all_406_0_305 = all_406_1_306) & minus(all_0_6_6, all_0_5_5) = all_406_1_306 & minus(all_0_9_9, all_0_7_7) = all_406_0_305
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (470) yields:
% 207.92/138.02 | (471) ~ (all_406_0_305 = all_406_1_306)
% 207.92/138.02 | (472) minus(all_0_6_6, all_0_5_5) = all_406_1_306
% 207.92/138.02 | (473) minus(all_0_9_9, all_0_7_7) = all_406_0_305
% 207.92/138.02 |
% 207.92/138.02 +-Applying beta-rule and splitting (296), into two cases.
% 207.92/138.02 |-Branch one:
% 207.92/138.02 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.02 |
% 207.92/138.02 | Equations (442) can reduce 429 to:
% 207.92/138.02 | (243) $false
% 207.92/138.02 |
% 207.92/138.02 |-The branch is then unsatisfiable
% 207.92/138.02 |-Branch two:
% 207.92/138.02 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.02 | (477) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_5_5) = v0 & minus(all_0_7_7, all_0_9_9) = v1)
% 207.92/138.02 |
% 207.92/138.02 | Instantiating (477) with all_412_0_307, all_412_1_308 yields:
% 207.92/138.02 | (478) ~ (all_412_0_307 = all_412_1_308) & minus(all_0_6_6, all_0_5_5) = all_412_1_308 & minus(all_0_7_7, all_0_9_9) = all_412_0_307
% 207.92/138.02 |
% 207.92/138.02 | Applying alpha-rule on (478) yields:
% 207.92/138.02 | (479) ~ (all_412_0_307 = all_412_1_308)
% 207.92/138.02 | (480) minus(all_0_6_6, all_0_5_5) = all_412_1_308
% 207.92/138.02 | (481) minus(all_0_7_7, all_0_9_9) = all_412_0_307
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (17) with all_0_7_7, all_243_4_208, all_0_6_6 and discharging atoms p(all_0_7_7) = all_243_4_208, p(all_0_7_7) = all_0_6_6, yields:
% 207.92/138.02 | (482) all_243_4_208 = all_0_6_6
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (33) with all_0_5_5, all_145_0_129, all_17_0_33 and discharging atoms perm(all_0_5_5) = all_145_0_129, perm(all_0_5_5) = all_17_0_33, yields:
% 207.92/138.02 | (483) all_145_0_129 = all_17_0_33
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (33) with all_0_5_5, all_145_1_130, all_145_0_129 and discharging atoms perm(all_0_5_5) = all_145_0_129, perm(all_0_5_5) = all_145_1_130, yields:
% 207.92/138.02 | (484) all_145_0_129 = all_145_1_130
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (33) with all_0_5_5, all_115_0_108, all_145_1_130 and discharging atoms perm(all_0_5_5) = all_145_1_130, perm(all_0_5_5) = all_115_0_108, yields:
% 207.92/138.02 | (485) all_145_1_130 = all_115_0_108
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (33) with all_0_6_6, all_191_0_166, all_23_0_40 and discharging atoms perm(all_0_6_6) = all_191_0_166, perm(all_0_6_6) = all_23_0_40, yields:
% 207.92/138.02 | (486) all_191_0_166 = all_23_0_40
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (33) with all_0_6_6, all_113_0_106, all_191_0_166 and discharging atoms perm(all_0_6_6) = all_191_0_166, perm(all_0_6_6) = all_113_0_106, yields:
% 207.92/138.02 | (487) all_191_0_166 = all_113_0_106
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (33) with all_0_6_6, all_113_1_107, all_113_0_106 and discharging atoms perm(all_0_6_6) = all_113_0_106, perm(all_0_6_6) = all_113_1_107, yields:
% 207.92/138.02 | (488) all_113_0_106 = all_113_1_107
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (33) with all_0_7_7, all_255_2_236, all_257_2_240 and discharging atoms perm(all_0_7_7) = all_257_2_240, perm(all_0_7_7) = all_255_2_236, yields:
% 207.92/138.02 | (489) all_257_2_240 = all_255_2_236
% 207.92/138.02 |
% 207.92/138.02 | Instantiating formula (33) with all_0_7_7, all_191_1_167, all_257_2_240 and discharging atoms perm(all_0_7_7) = all_257_2_240, perm(all_0_7_7) = all_191_1_167, yields:
% 207.92/138.03 | (490) all_257_2_240 = all_191_1_167
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_7_7, all_179_0_159, all_257_2_240 and discharging atoms perm(all_0_7_7) = all_257_2_240, perm(all_0_7_7) = all_179_0_159, yields:
% 207.92/138.03 | (491) all_257_2_240 = all_179_0_159
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_11_11, all_201_1_177, all_0_9_9 and discharging atoms perm(all_0_11_11) = all_201_1_177, perm(all_0_11_11) = all_0_9_9, yields:
% 207.92/138.03 | (492) all_201_1_177 = all_0_9_9
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_11_11, all_195_0_169, all_201_1_177 and discharging atoms perm(all_0_11_11) = all_201_1_177, perm(all_0_11_11) = all_195_0_169, yields:
% 207.92/138.03 | (493) all_201_1_177 = all_195_0_169
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_11_11, all_195_1_170, all_195_0_169 and discharging atoms perm(all_0_11_11) = all_195_0_169, perm(all_0_11_11) = all_195_1_170, yields:
% 207.92/138.03 | (494) all_195_0_169 = all_195_1_170
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_11_11, all_129_1_119, all_195_1_170 and discharging atoms perm(all_0_11_11) = all_195_1_170, perm(all_0_11_11) = all_129_1_119, yields:
% 207.92/138.03 | (495) all_195_1_170 = all_129_1_119
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_12_12, all_161_1_149, all_0_7_7 and discharging atoms perm(all_0_12_12) = all_161_1_149, perm(all_0_12_12) = all_0_7_7, yields:
% 207.92/138.03 | (496) all_161_1_149 = all_0_7_7
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_12_12, all_161_1_149, all_161_0_148 and discharging atoms perm(all_0_12_12) = all_161_0_148, perm(all_0_12_12) = all_161_1_149, yields:
% 207.92/138.03 | (497) all_161_0_148 = all_161_1_149
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_12_12, all_149_1_133, all_161_0_148 and discharging atoms perm(all_0_12_12) = all_161_0_148, perm(all_0_12_12) = all_149_1_133, yields:
% 207.92/138.03 | (498) all_161_0_148 = all_149_1_133
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (33) with all_0_12_12, all_123_1_115, all_161_1_149 and discharging atoms perm(all_0_12_12) = all_161_1_149, perm(all_0_12_12) = all_123_1_115, yields:
% 207.92/138.03 | (499) all_161_1_149 = all_123_1_115
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (36) with all_0_5_5, all_0_6_6, all_382_1_298, all_401_1_304 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_401_1_304, minus(all_0_5_5, all_0_6_6) = all_382_1_298, yields:
% 207.92/138.03 | (500) all_401_1_304 = all_382_1_298
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (36) with all_0_5_5, all_0_9_9, all_177_0_158, all_31_1_49 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_177_0_158, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.03 | (501) all_177_0_158 = all_31_1_49
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (36) with all_0_6_6, all_0_7_7, all_185_0_163, all_31_0_48 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_185_0_163, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.03 | (502) all_185_0_163 = all_31_0_48
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (36) with all_0_7_7, all_0_9_9, all_401_0_303, all_412_0_307 and discharging atoms minus(all_0_7_7, all_0_9_9) = all_412_0_307, minus(all_0_7_7, all_0_9_9) = all_401_0_303, yields:
% 207.92/138.03 | (503) all_412_0_307 = all_401_0_303
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (36) with all_0_9_9, all_0_7_7, all_382_0_297, all_406_0_305 and discharging atoms minus(all_0_9_9, all_0_7_7) = all_406_0_305, minus(all_0_9_9, all_0_7_7) = all_382_0_297, yields:
% 207.92/138.03 | (504) all_406_0_305 = all_382_0_297
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (36) with all_0_11_11, all_0_12_12, all_357_0_291, all_377_0_295 and discharging atoms minus(all_0_11_11, all_0_12_12) = all_377_0_295, minus(all_0_11_11, all_0_12_12) = all_357_0_291, yields:
% 207.92/138.03 | (505) all_377_0_295 = all_357_0_291
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (36) with all_0_12_12, all_0_11_11, all_352_0_289, all_363_0_293 and discharging atoms minus(all_0_12_12, all_0_11_11) = all_363_0_293, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 207.92/138.03 | (506) all_363_0_293 = all_352_0_289
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (491,489) yields a new equation:
% 207.92/138.03 | (507) all_255_2_236 = all_179_0_159
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (490,489) yields a new equation:
% 207.92/138.03 | (508) all_255_2_236 = all_191_1_167
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (508,507) yields a new equation:
% 207.92/138.03 | (509) all_191_1_167 = all_179_0_159
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 509 yields:
% 207.92/138.03 | (510) all_191_1_167 = all_179_0_159
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (493,492) yields a new equation:
% 207.92/138.03 | (511) all_195_0_169 = all_0_9_9
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 511 yields:
% 207.92/138.03 | (512) all_195_0_169 = all_0_9_9
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (494,512) yields a new equation:
% 207.92/138.03 | (513) all_195_1_170 = all_0_9_9
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 513 yields:
% 207.92/138.03 | (514) all_195_1_170 = all_0_9_9
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (495,514) yields a new equation:
% 207.92/138.03 | (515) all_129_1_119 = all_0_9_9
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 515 yields:
% 207.92/138.03 | (516) all_129_1_119 = all_0_9_9
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (487,486) yields a new equation:
% 207.92/138.03 | (517) all_113_0_106 = all_23_0_40
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 517 yields:
% 207.92/138.03 | (518) all_113_0_106 = all_23_0_40
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (497,498) yields a new equation:
% 207.92/138.03 | (519) all_161_1_149 = all_149_1_133
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 519 yields:
% 207.92/138.03 | (520) all_161_1_149 = all_149_1_133
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (496,520) yields a new equation:
% 207.92/138.03 | (521) all_149_1_133 = all_0_7_7
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (499,520) yields a new equation:
% 207.92/138.03 | (522) all_149_1_133 = all_123_1_115
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (522,521) yields a new equation:
% 207.92/138.03 | (523) all_123_1_115 = all_0_7_7
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 523 yields:
% 207.92/138.03 | (524) all_123_1_115 = all_0_7_7
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (484,483) yields a new equation:
% 207.92/138.03 | (525) all_145_1_130 = all_17_0_33
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 525 yields:
% 207.92/138.03 | (526) all_145_1_130 = all_17_0_33
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (526,485) yields a new equation:
% 207.92/138.03 | (527) all_115_0_108 = all_17_0_33
% 207.92/138.03 |
% 207.92/138.03 | Combining equations (488,518) yields a new equation:
% 207.92/138.03 | (528) all_113_1_107 = all_23_0_40
% 207.92/138.03 |
% 207.92/138.03 | Simplifying 528 yields:
% 207.92/138.03 | (529) all_113_1_107 = all_23_0_40
% 207.92/138.03 |
% 207.92/138.03 | Equations (500) can reduce 463 to:
% 207.92/138.03 | (530) ~ (all_401_0_303 = all_382_1_298)
% 207.92/138.03 |
% 207.92/138.03 | From (527) and (312) follows:
% 207.92/138.03 | (81) perm(all_0_5_5) = all_17_0_33
% 207.92/138.03 |
% 207.92/138.03 | From (529) and (309) follows:
% 207.92/138.03 | (94) perm(all_0_6_6) = all_23_0_40
% 207.92/138.03 |
% 207.92/138.03 | From (516) and (321) follows:
% 207.92/138.03 | (44) perm(all_0_11_11) = all_0_9_9
% 207.92/138.03 |
% 207.92/138.03 | From (524) and (317) follows:
% 207.92/138.03 | (19) perm(all_0_12_12) = all_0_7_7
% 207.92/138.03 |
% 207.92/138.03 | From (482) and (366) follows:
% 207.92/138.03 | (535) minus(all_0_6_6, all_0_7_7) = all_243_0_204
% 207.92/138.03 |
% 207.92/138.03 | From (510)(486) and (348) follows:
% 207.92/138.03 | (536) minus(all_179_0_159, all_23_0_40) = all_31_0_48
% 207.92/138.03 |
% 207.92/138.03 | From (527) and (314) follows:
% 207.92/138.03 | (537) minus(all_115_1_109, all_17_0_33) = all_31_1_49
% 207.92/138.03 |
% 207.92/138.03 | From (500) and (464) follows:
% 207.92/138.03 | (448) minus(all_0_5_5, all_0_6_6) = all_382_1_298
% 207.92/138.03 |
% 207.92/138.03 | From (501) and (336) follows:
% 207.92/138.03 | (239) minus(all_0_5_5, all_0_9_9) = all_31_1_49
% 207.92/138.03 |
% 207.92/138.03 | From (502) and (343) follows:
% 207.92/138.03 | (238) minus(all_0_6_6, all_0_7_7) = all_31_0_48
% 207.92/138.03 |
% 207.92/138.03 | From (503) and (481) follows:
% 207.92/138.03 | (465) minus(all_0_7_7, all_0_9_9) = all_401_0_303
% 207.92/138.03 |
% 207.92/138.03 | From (504) and (473) follows:
% 207.92/138.03 | (449) minus(all_0_9_9, all_0_7_7) = all_382_0_297
% 207.92/138.03 |
% 207.92/138.03 | From (501) and (337) follows:
% 207.92/138.03 | (543) minus(all_0_11_11, all_17_0_33) = all_31_1_49
% 207.92/138.03 |
% 207.92/138.03 | From (505) and (441) follows:
% 207.92/138.03 | (412) minus(all_0_11_11, all_0_12_12) = all_357_0_291
% 207.92/138.03 |
% 207.92/138.03 | From (502) and (344) follows:
% 207.92/138.03 | (545) minus(all_0_12_12, all_23_0_40) = all_31_0_48
% 207.92/138.03 |
% 207.92/138.03 | From (506) and (420) follows:
% 207.92/138.03 | (404) minus(all_0_12_12, all_0_11_11) = all_352_0_289
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (36) with all_0_6_6, all_0_7_7, all_243_0_204, all_31_0_48 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_243_0_204, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.03 | (547) all_243_0_204 = all_31_0_48
% 207.92/138.03 |
% 207.92/138.03 | From (547) and (535) follows:
% 207.92/138.03 | (238) minus(all_0_6_6, all_0_7_7) = all_31_0_48
% 207.92/138.03 |
% 207.92/138.03 +-Applying beta-rule and splitting (52), into two cases.
% 207.92/138.03 |-Branch one:
% 207.92/138.03 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.03 |
% 207.92/138.03 | From (549) and (51) follows:
% 207.92/138.03 | (550) minus(all_0_5_5, all_0_11_11) = all_0_2_2
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_179_0_159, all_0_9_9, all_23_0_40, all_0_5_5 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.03 | (551) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_23_0_40) = v0 & plus(all_0_9_9, all_179_0_159) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_0_5_5, all_23_0_40, all_0_9_9, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.03 | (552) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_0_9_9) = v0 & plus(all_23_0_40, all_0_5_5) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_179_0_159, all_0_9_9, all_0_5_5 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.03 | (553) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_179_0_159) = v0 & minus(all_0_9_9, all_23_0_40) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_0_9_9, all_0_5_5, all_23_0_40, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.03 | (554) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_0_5_5) = v0 & minus(all_23_0_40, all_0_9_9) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_115_1_109, all_0_7_7, all_17_0_33, all_0_6_6 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.03 | (555) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_17_0_33) = v0 & plus(all_0_7_7, all_115_1_109) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_0_6_6, all_17_0_33, all_0_7_7, all_115_1_109 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.03 | (556) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_0_7_7) = v0 & plus(all_17_0_33, all_0_6_6) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_115_1_109, all_0_7_7, all_0_6_6 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.03 | (557) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_115_1_109) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_0_7_7, all_0_6_6, all_17_0_33, all_115_1_109 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.03 | (558) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_0_6_6) = v0 & minus(all_17_0_33, all_0_7_7) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_115_1_109, all_23_0_40, all_17_0_33, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_115_1_109, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.03 | (559) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_17_0_33) = v0 & plus(all_23_0_40, all_115_1_109) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_179_0_159, all_17_0_33, all_23_0_40, all_115_1_109 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_115_1_109, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.03 | (560) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_23_0_40) = v0 & plus(all_17_0_33, all_179_0_159) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_115_1_109, all_23_0_40, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_115_1_109, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.03 | (561) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_115_1_109) = v0 & minus(all_23_0_40, all_17_0_33) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_179_0_159, all_17_0_33, all_115_1_109 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_115_1_109, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.03 | (562) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_179_0_159) = v0 & minus(all_17_0_33, all_23_0_40) = v1)
% 207.92/138.03 |
% 207.92/138.03 | Instantiating formula (22) with all_0_2_2, all_0_12_12, all_0_6_6, all_0_11_11, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_11_11) = all_0_2_2, minus(all_0_6_6, all_0_12_12) = all_0_2_2, yields:
% 207.92/138.04 | (563) ? [v0] : (minus(all_0_5_5, all_0_6_6) = v0 & minus(all_0_11_11, all_0_12_12) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (3) with all_401_0_303, all_0_9_9, all_0_7_7, all_0_11_11, all_0_12_12 and discharging atoms perm(all_0_11_11) = all_0_9_9, perm(all_0_12_12) = all_0_7_7, minus(all_0_7_7, all_0_9_9) = all_401_0_303, yields:
% 207.92/138.04 | (564) minus(all_0_11_11, all_0_12_12) = all_401_0_303
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_0_11_11, all_0_7_7, all_17_0_33, all_0_6_6 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.04 | (565) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_17_0_33) = v0 & plus(all_0_7_7, all_0_11_11) = v1)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_0_6_6, all_17_0_33, all_0_7_7, all_0_11_11 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.04 | (566) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_6_6) = v1 & plus(all_0_11_11, all_0_7_7) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_0_11_11, all_0_7_7, all_0_6_6 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.04 | (567) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_11_11) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_0_7_7, all_0_6_6, all_17_0_33, all_0_11_11 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.04 | (568) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_0_7_7) = v1 & minus(all_0_11_11, all_0_6_6) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_0_11_11, all_23_0_40, all_17_0_33, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.04 | (569) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_17_0_33) = v0 & plus(all_23_0_40, all_0_11_11) = v1)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_179_0_159, all_17_0_33, all_23_0_40, all_0_11_11 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.04 | (570) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_179_0_159) = v1 & plus(all_0_11_11, all_23_0_40) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_0_11_11, all_23_0_40, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.04 | (571) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_0_11_11) = v0 & minus(all_23_0_40, all_17_0_33) = v1)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_179_0_159, all_17_0_33, all_0_11_11 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.04 | (572) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_23_0_40) = v1 & minus(all_0_11_11, all_179_0_159) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_0_12_12, all_0_9_9, all_23_0_40, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (573) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_23_0_40) = v0 & plus(all_0_9_9, all_0_12_12) = v1)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_0_5_5, all_23_0_40, all_0_9_9, all_0_12_12 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (574) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_23_0_40, all_0_5_5) = v1 & plus(all_0_12_12, all_0_9_9) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_0_12_12, all_0_9_9, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (575) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_12_12) = v0 & minus(all_0_9_9, all_23_0_40) = v1)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_0_9_9, all_0_5_5, all_23_0_40, all_0_12_12 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (576) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_0_9_9) = v1 & minus(all_0_12_12, all_0_5_5) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_0_12_12, all_17_0_33, all_23_0_40, all_115_1_109 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (577) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_23_0_40) = v0 & plus(all_17_0_33, all_0_12_12) = v1)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_115_1_109, all_23_0_40, all_17_0_33, all_0_12_12 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (578) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_23_0_40, all_115_1_109) = v1 & plus(all_0_12_12, all_17_0_33) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_0_12_12, all_17_0_33, all_115_1_109 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (579) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_0_12_12) = v0 & minus(all_17_0_33, all_23_0_40) = v1)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_115_1_109, all_23_0_40, all_0_12_12 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (580) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_12_12, all_115_1_109) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_0_11_11, all_23_0_40, all_17_0_33, all_0_12_12 and discharging atoms minus(all_0_11_11, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (581) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_23_0_40, all_0_11_11) = v1 & plus(all_0_12_12, all_17_0_33) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_0_12_12, all_17_0_33, all_0_11_11 and discharging atoms minus(all_0_11_11, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (582) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_23_0_40) = v1 & minus(all_0_11_11, all_0_12_12) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_0_11_11, all_23_0_40, all_0_12_12 and discharging atoms minus(all_0_11_11, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.04 | (583) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_12_12, all_0_11_11) = v0)
% 207.92/138.04 |
% 207.92/138.04 | Instantiating (563) with all_2075_0_1301 yields:
% 207.92/138.04 | (584) minus(all_0_5_5, all_0_6_6) = all_2075_0_1301 & minus(all_0_11_11, all_0_12_12) = all_2075_0_1301
% 207.92/138.04 |
% 207.92/138.04 | Applying alpha-rule on (584) yields:
% 207.92/138.04 | (585) minus(all_0_5_5, all_0_6_6) = all_2075_0_1301
% 207.92/138.04 | (586) minus(all_0_11_11, all_0_12_12) = all_2075_0_1301
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (580), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (590) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_12_12, all_115_1_109) = v0)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (579), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (594) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_0_12_12) = v0 & minus(all_17_0_33, all_23_0_40) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (572), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (598) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_23_0_40) = v1 & minus(all_0_11_11, all_179_0_159) = v0)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (571), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (602) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_0_11_11) = v0 & minus(all_23_0_40, all_17_0_33) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (552), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (606) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_0_9_9) = v0 & plus(all_23_0_40, all_0_5_5) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (553), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (610) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_179_0_159) = v0 & minus(all_0_9_9, all_23_0_40) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (567), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (614) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_11_11) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (569), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (618) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_17_0_33) = v0 & plus(all_23_0_40, all_0_11_11) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (568), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (622) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_0_7_7) = v1 & minus(all_0_11_11, all_0_6_6) = v0)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (578), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (626) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_23_0_40, all_115_1_109) = v1 & plus(all_0_12_12, all_17_0_33) = v0)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (577), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (630) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_23_0_40) = v0 & plus(all_17_0_33, all_0_12_12) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (570), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (634) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_179_0_159) = v1 & plus(all_0_11_11, all_23_0_40) = v0)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (565), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (638) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_17_0_33) = v0 & plus(all_0_7_7, all_0_11_11) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (566), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (642) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_6_6) = v1 & plus(all_0_11_11, all_0_7_7) = v0)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (551), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (646) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_23_0_40) = v0 & plus(all_0_9_9, all_179_0_159) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (581), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (650) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_23_0_40, all_0_11_11) = v1 & plus(all_0_12_12, all_17_0_33) = v0)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (554), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (654) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_0_5_5) = v0 & minus(all_23_0_40, all_0_9_9) = v1)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (583), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.04 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.04 |
% 207.92/138.04 | Equations (442) can reduce 429 to:
% 207.92/138.04 | (243) $false
% 207.92/138.04 |
% 207.92/138.04 |-The branch is then unsatisfiable
% 207.92/138.04 |-Branch two:
% 207.92/138.04 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.04 | (658) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_12_12, all_0_11_11) = v0)
% 207.92/138.04 |
% 207.92/138.04 +-Applying beta-rule and splitting (576), into two cases.
% 207.92/138.04 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (662) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_0_9_9) = v1 & minus(all_0_12_12, all_0_5_5) = v0)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (575), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (666) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_12_12) = v0 & minus(all_0_9_9, all_23_0_40) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (574), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (670) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_23_0_40, all_0_5_5) = v1 & plus(all_0_12_12, all_0_9_9) = v0)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (573), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (674) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_23_0_40) = v0 & plus(all_0_9_9, all_0_12_12) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (559), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (678) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_17_0_33) = v0 & plus(all_23_0_40, all_115_1_109) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (562), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (682) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_179_0_159) = v0 & minus(all_17_0_33, all_23_0_40) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (561), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (686) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_115_1_109) = v0 & minus(all_23_0_40, all_17_0_33) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (555), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (690) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_17_0_33) = v0 & plus(all_0_7_7, all_115_1_109) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (558), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (694) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_0_6_6) = v0 & minus(all_17_0_33, all_0_7_7) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (556), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (698) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_0_7_7) = v0 & plus(all_17_0_33, all_0_6_6) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (557), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (702) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_115_1_109) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (560), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (706) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_23_0_40) = v0 & plus(all_17_0_33, all_179_0_159) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (582), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.05 |
% 207.92/138.05 | Equations (442) can reduce 429 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.05 | (710) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_23_0_40) = v1 & minus(all_0_11_11, all_0_12_12) = v0)
% 207.92/138.05 |
% 207.92/138.05 | Instantiating (710) with all_2594_0_1597, all_2594_1_1598 yields:
% 207.92/138.05 | (711) ~ (all_2594_0_1597 = all_2594_1_1598) & minus(all_17_0_33, all_23_0_40) = all_2594_0_1597 & minus(all_0_11_11, all_0_12_12) = all_2594_1_1598
% 207.92/138.05 |
% 207.92/138.05 | Applying alpha-rule on (711) yields:
% 207.92/138.05 | (712) ~ (all_2594_0_1597 = all_2594_1_1598)
% 207.92/138.05 | (713) minus(all_17_0_33, all_23_0_40) = all_2594_0_1597
% 207.92/138.05 | (714) minus(all_0_11_11, all_0_12_12) = all_2594_1_1598
% 207.92/138.05 |
% 207.92/138.05 | Instantiating formula (36) with all_0_5_5, all_0_6_6, all_2075_0_1301, all_382_1_298 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_2075_0_1301, minus(all_0_5_5, all_0_6_6) = all_382_1_298, yields:
% 207.92/138.05 | (715) all_2075_0_1301 = all_382_1_298
% 207.92/138.05 |
% 207.92/138.05 | Instantiating formula (36) with all_0_11_11, all_0_12_12, all_2594_1_1598, all_357_0_291 and discharging atoms minus(all_0_11_11, all_0_12_12) = all_2594_1_1598, minus(all_0_11_11, all_0_12_12) = all_357_0_291, yields:
% 207.92/138.05 | (716) all_2594_1_1598 = all_357_0_291
% 207.92/138.05 |
% 207.92/138.05 | Instantiating formula (36) with all_0_11_11, all_0_12_12, all_401_0_303, all_2594_1_1598 and discharging atoms minus(all_0_11_11, all_0_12_12) = all_2594_1_1598, minus(all_0_11_11, all_0_12_12) = all_401_0_303, yields:
% 207.92/138.05 | (717) all_2594_1_1598 = all_401_0_303
% 207.92/138.05 |
% 207.92/138.05 | Instantiating formula (36) with all_0_11_11, all_0_12_12, all_401_0_303, all_2075_0_1301 and discharging atoms minus(all_0_11_11, all_0_12_12) = all_2075_0_1301, minus(all_0_11_11, all_0_12_12) = all_401_0_303, yields:
% 207.92/138.05 | (718) all_2075_0_1301 = all_401_0_303
% 207.92/138.05 |
% 207.92/138.05 | Combining equations (717,716) yields a new equation:
% 207.92/138.05 | (719) all_401_0_303 = all_357_0_291
% 207.92/138.05 |
% 207.92/138.05 | Simplifying 719 yields:
% 207.92/138.05 | (720) all_401_0_303 = all_357_0_291
% 207.92/138.05 |
% 207.92/138.05 | Combining equations (718,715) yields a new equation:
% 207.92/138.05 | (721) all_401_0_303 = all_382_1_298
% 207.92/138.05 |
% 207.92/138.05 | Simplifying 721 yields:
% 207.92/138.05 | (722) all_401_0_303 = all_382_1_298
% 207.92/138.05 |
% 207.92/138.05 | Combining equations (722,720) yields a new equation:
% 207.92/138.05 | (723) all_382_1_298 = all_357_0_291
% 207.92/138.05 |
% 207.92/138.05 | Simplifying 723 yields:
% 207.92/138.05 | (724) all_382_1_298 = all_357_0_291
% 207.92/138.05 |
% 207.92/138.05 | Equations (720,724) can reduce 530 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (727) all_0_3_3 = all_0_4_4 | all_0_5_5 = all_0_6_6
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (727), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (728) all_0_3_3 = all_0_4_4
% 207.92/138.05 |
% 207.92/138.05 | From (728) and (230) follows:
% 207.92/138.05 | (729) plus(all_0_11_11, all_0_5_5) = all_0_4_4
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (73), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.05 |
% 207.92/138.05 | Equations (549) can reduce 726 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (733) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_0_12_12) = v0 & plus(all_0_11_11, all_0_6_6) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (304), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.05 |
% 207.92/138.05 | Equations (549) can reduce 726 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (737) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_23_0_40) = v1 & minus(all_0_9_9, all_0_7_7) = v0)
% 207.92/138.05 |
% 207.92/138.05 | Instantiating (737) with all_463_0_1621, all_463_1_1622 yields:
% 207.92/138.05 | (738) ~ (all_463_0_1621 = all_463_1_1622) & minus(all_17_0_33, all_23_0_40) = all_463_0_1621 & minus(all_0_9_9, all_0_7_7) = all_463_1_1622
% 207.92/138.05 |
% 207.92/138.05 | Applying alpha-rule on (738) yields:
% 207.92/138.05 | (739) ~ (all_463_0_1621 = all_463_1_1622)
% 207.92/138.05 | (740) minus(all_17_0_33, all_23_0_40) = all_463_0_1621
% 207.92/138.05 | (741) minus(all_0_9_9, all_0_7_7) = all_463_1_1622
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (302), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.05 |
% 207.92/138.05 | Equations (549) can reduce 726 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (745) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_7_7) = v1 & plus(all_0_9_9, all_23_0_40) = v0)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (298), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.05 |
% 207.92/138.05 | Equations (549) can reduce 726 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (749) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_23_0_40) = v0 & plus(all_0_11_11, all_0_7_7) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (76), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.05 |
% 207.92/138.05 | Equations (549) can reduce 726 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (753) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_5_5) = v0 & minus(all_0_12_12, all_0_11_11) = v1)
% 207.92/138.05 |
% 207.92/138.05 | Instantiating (753) with all_479_0_1627, all_479_1_1628 yields:
% 207.92/138.05 | (754) ~ (all_479_0_1627 = all_479_1_1628) & minus(all_0_6_6, all_0_5_5) = all_479_1_1628 & minus(all_0_12_12, all_0_11_11) = all_479_0_1627
% 207.92/138.05 |
% 207.92/138.05 | Applying alpha-rule on (754) yields:
% 207.92/138.05 | (755) ~ (all_479_0_1627 = all_479_1_1628)
% 207.92/138.05 | (756) minus(all_0_6_6, all_0_5_5) = all_479_1_1628
% 207.92/138.05 | (757) minus(all_0_12_12, all_0_11_11) = all_479_0_1627
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (75), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.05 |
% 207.92/138.05 | Equations (549) can reduce 726 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (761) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_6_6) = v0 & minus(all_0_11_11, all_0_12_12) = v1)
% 207.92/138.05 |
% 207.92/138.05 | Instantiating (761) with all_485_0_1629, all_485_1_1630 yields:
% 207.92/138.05 | (762) ~ (all_485_0_1629 = all_485_1_1630) & minus(all_0_5_5, all_0_6_6) = all_485_1_1630 & minus(all_0_11_11, all_0_12_12) = all_485_0_1629
% 207.92/138.05 |
% 207.92/138.05 | Applying alpha-rule on (762) yields:
% 207.92/138.05 | (763) ~ (all_485_0_1629 = all_485_1_1630)
% 207.92/138.05 | (764) minus(all_0_5_5, all_0_6_6) = all_485_1_1630
% 207.92/138.05 | (765) minus(all_0_11_11, all_0_12_12) = all_485_0_1629
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (74), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.05 |
% 207.92/138.05 | Equations (549) can reduce 726 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (769) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_0_11_11) = v0 & plus(all_0_12_12, all_0_5_5) = v1)
% 207.92/138.05 |
% 207.92/138.05 +-Applying beta-rule and splitting (303), into two cases.
% 207.92/138.05 |-Branch one:
% 207.92/138.05 | (549) all_0_1_1 = all_0_2_2
% 207.92/138.05 |
% 207.92/138.05 | Equations (549) can reduce 726 to:
% 207.92/138.05 | (243) $false
% 207.92/138.05 |
% 207.92/138.05 |-The branch is then unsatisfiable
% 207.92/138.05 |-Branch two:
% 207.92/138.05 | (726) ~ (all_0_1_1 = all_0_2_2)
% 207.92/138.05 | (773) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_7_7, all_0_9_9) = v0)
% 207.92/138.05 |
% 207.92/138.05 | Instantiating (773) with all_496_0_1633, all_496_1_1634 yields:
% 207.92/138.05 | (774) ~ (all_496_0_1633 = all_496_1_1634) & minus(all_23_0_40, all_17_0_33) = all_496_0_1633 & minus(all_0_7_7, all_0_9_9) = all_496_1_1634
% 207.92/138.05 |
% 207.92/138.05 | Applying alpha-rule on (774) yields:
% 207.92/138.05 | (775) ~ (all_496_0_1633 = all_496_1_1634)
% 207.92/138.05 | (776) minus(all_23_0_40, all_17_0_33) = all_496_0_1633
% 207.92/138.05 | (777) minus(all_0_7_7, all_0_9_9) = all_496_1_1634
% 207.92/138.05 |
% 207.92/138.05 | Instantiating formula (36) with all_0_5_5, all_0_6_6, all_485_1_1630, all_382_1_298 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_485_1_1630, minus(all_0_5_5, all_0_6_6) = all_382_1_298, yields:
% 207.92/138.05 | (778) all_485_1_1630 = all_382_1_298
% 207.92/138.05 |
% 207.92/138.05 | Instantiating formula (36) with all_0_9_9, all_0_7_7, all_463_1_1622, all_382_0_297 and discharging atoms minus(all_0_9_9, all_0_7_7) = all_463_1_1622, minus(all_0_9_9, all_0_7_7) = all_382_0_297, yields:
% 207.92/138.05 | (779) all_463_1_1622 = all_382_0_297
% 207.92/138.05 |
% 207.92/138.05 | Instantiating formula (36) with all_0_12_12, all_0_11_11, all_479_0_1627, all_352_0_289 and discharging atoms minus(all_0_12_12, all_0_11_11) = all_479_0_1627, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 207.92/138.05 | (780) all_479_0_1627 = all_352_0_289
% 207.92/138.05 |
% 207.92/138.05 | From (778) and (764) follows:
% 207.92/138.05 | (448) minus(all_0_5_5, all_0_6_6) = all_382_1_298
% 207.92/138.05 |
% 207.92/138.05 | From (779) and (741) follows:
% 207.92/138.05 | (449) minus(all_0_9_9, all_0_7_7) = all_382_0_297
% 207.92/138.05 |
% 207.92/138.05 | From (780) and (757) follows:
% 207.92/138.05 | (404) minus(all_0_12_12, all_0_11_11) = all_352_0_289
% 207.92/138.05 |
% 207.92/138.05 | Instantiating formula (12) with all_0_4_4, all_0_5_5, all_0_11_11, all_0_6_6, all_0_12_12 and discharging atoms plus(all_0_11_11, all_0_5_5) = all_0_4_4, plus(all_0_12_12, all_0_6_6) = all_0_4_4, yields:
% 207.92/138.05 | (784) ? [v0] : (minus(all_0_5_5, all_0_6_6) = v0 & minus(all_0_12_12, all_0_11_11) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_179_0_159, all_0_9_9, all_23_0_40, all_0_5_5 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.06 | (551) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_23_0_40) = v0 & plus(all_0_9_9, all_179_0_159) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_0_5_5, all_23_0_40, all_0_9_9, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.06 | (552) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_0_9_9) = v0 & plus(all_23_0_40, all_0_5_5) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_179_0_159, all_0_9_9, all_0_5_5 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.06 | (553) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_179_0_159) = v0 & minus(all_0_9_9, all_23_0_40) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_0_9_9, all_0_5_5, all_23_0_40, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_0_5_5, all_0_9_9) = all_31_1_49, yields:
% 207.92/138.06 | (554) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_0_5_5) = v0 & minus(all_23_0_40, all_0_9_9) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_115_1_109, all_0_7_7, all_17_0_33, all_0_6_6 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.06 | (555) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_17_0_33) = v0 & plus(all_0_7_7, all_115_1_109) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_0_6_6, all_17_0_33, all_0_7_7, all_115_1_109 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.06 | (556) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_0_7_7) = v0 & plus(all_17_0_33, all_0_6_6) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_115_1_109, all_0_7_7, all_0_6_6 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.06 | (557) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_115_1_109) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_0_7_7, all_0_6_6, all_17_0_33, all_115_1_109 and discharging atoms minus(all_115_1_109, all_17_0_33) = all_31_1_49, minus(all_0_6_6, all_0_7_7) = all_31_0_48, yields:
% 207.92/138.06 | (558) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_0_6_6) = v0 & minus(all_17_0_33, all_0_7_7) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_115_1_109, all_23_0_40, all_17_0_33, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_115_1_109, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.06 | (559) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_17_0_33) = v0 & plus(all_23_0_40, all_115_1_109) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_179_0_159, all_17_0_33, all_23_0_40, all_115_1_109 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_115_1_109, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.06 | (560) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_23_0_40) = v0 & plus(all_17_0_33, all_179_0_159) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_115_1_109, all_23_0_40, all_179_0_159 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_115_1_109, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.06 | (561) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_115_1_109) = v0 & minus(all_23_0_40, all_17_0_33) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_179_0_159, all_17_0_33, all_115_1_109 and discharging atoms minus(all_179_0_159, all_23_0_40) = all_31_0_48, minus(all_115_1_109, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.06 | (562) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_179_0_159) = v0 & minus(all_17_0_33, all_23_0_40) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (3) with all_496_0_1633, all_17_0_33, all_23_0_40, all_0_5_5, all_0_6_6 and discharging atoms perm(all_0_5_5) = all_17_0_33, perm(all_0_6_6) = all_23_0_40, minus(all_23_0_40, all_17_0_33) = all_496_0_1633, yields:
% 207.92/138.06 | (797) minus(all_0_5_5, all_0_6_6) = all_496_0_1633
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_382_0_297, all_382_1_298, all_0_9_9, all_0_6_6, all_0_7_7, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_382_1_298, minus(all_0_9_9, all_0_7_7) = all_382_0_297, yields:
% 207.92/138.06 | (798) all_382_0_297 = all_382_1_298 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_0_7_7) = v0 & plus(all_0_6_6, all_0_9_9) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_382_1_298, all_382_0_297, all_0_5_5, all_0_7_7, all_0_6_6, all_0_9_9 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_382_1_298, minus(all_0_9_9, all_0_7_7) = all_382_0_297, yields:
% 207.92/138.06 | (799) all_382_0_297 = all_382_1_298 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_7_7, all_0_5_5) = v1 & plus(all_0_9_9, all_0_6_6) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (3) with all_382_0_297, all_0_7_7, all_0_9_9, all_0_12_12, all_0_11_11 and discharging atoms perm(all_0_11_11) = all_0_9_9, perm(all_0_12_12) = all_0_7_7, minus(all_0_9_9, all_0_7_7) = all_382_0_297, yields:
% 207.92/138.06 | (800) minus(all_0_12_12, all_0_11_11) = all_382_0_297
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_0_6_6, all_17_0_33, all_0_7_7, all_0_11_11 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.06 | (566) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_6_6) = v1 & plus(all_0_11_11, all_0_7_7) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_0_11_11, all_0_7_7, all_0_6_6 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.06 | (567) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_11_11) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_0_7_7, all_0_6_6, all_17_0_33, all_0_11_11 and discharging atoms minus(all_0_6_6, all_0_7_7) = all_31_0_48, minus(all_0_11_11, all_17_0_33) = all_31_1_49, yields:
% 207.92/138.06 | (568) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_0_7_7) = v1 & minus(all_0_11_11, all_0_6_6) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_1_49, all_31_0_48, all_0_5_5, all_23_0_40, all_0_9_9, all_0_12_12 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.06 | (574) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_23_0_40, all_0_5_5) = v1 & plus(all_0_12_12, all_0_9_9) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_0_48, all_31_1_49, all_23_0_40, all_0_12_12, all_0_9_9, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.06 | (575) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_12_12) = v0 & minus(all_0_9_9, all_23_0_40) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_0_9_9, all_0_5_5, all_23_0_40, all_0_12_12 and discharging atoms minus(all_0_5_5, all_0_9_9) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.06 | (576) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_0_9_9) = v1 & minus(all_0_12_12, all_0_5_5) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_31_0_48, all_31_1_49, all_0_12_12, all_17_0_33, all_23_0_40, all_0_11_11 and discharging atoms minus(all_0_11_11, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.06 | (807) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_12_12) = v1 & plus(all_0_11_11, all_23_0_40) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_31_1_49, all_31_0_48, all_17_0_33, all_0_11_11, all_23_0_40, all_0_12_12 and discharging atoms minus(all_0_11_11, all_17_0_33) = all_31_1_49, minus(all_0_12_12, all_23_0_40) = all_31_0_48, yields:
% 207.92/138.06 | (583) all_31_0_48 = all_31_1_49 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_12_12, all_0_11_11) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_352_0_289, all_382_1_298, all_0_12_12, all_0_6_6, all_0_11_11, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_382_1_298, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 207.92/138.06 | (809) all_382_1_298 = all_352_0_289 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_0_11_11) = v0 & plus(all_0_6_6, all_0_12_12) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_382_1_298, all_352_0_289, all_0_5_5, all_0_11_11, all_0_6_6, all_0_12_12 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_382_1_298, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 207.92/138.06 | (810) all_382_1_298 = all_352_0_289 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_11_11, all_0_5_5) = v1 & plus(all_0_12_12, all_0_6_6) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_352_0_289, all_382_1_298, all_0_11_11, all_0_12_12, all_0_6_6, all_0_5_5 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_382_1_298, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 207.92/138.06 | (811) all_382_1_298 = all_352_0_289 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_12_12) = v0 & minus(all_0_6_6, all_0_11_11) = v1)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (30) with all_382_1_298, all_352_0_289, all_0_6_6, all_0_5_5, all_0_11_11, all_0_12_12 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_382_1_298, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 207.92/138.06 | (812) all_382_1_298 = all_352_0_289 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_11_11, all_0_6_6) = v1 & minus(all_0_12_12, all_0_5_5) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating formula (9) with all_352_0_289, all_382_0_297, all_0_12_12, all_0_7_7, all_0_11_11, all_0_9_9 and discharging atoms minus(all_0_9_9, all_0_7_7) = all_382_0_297, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 207.92/138.06 | (813) all_382_0_297 = all_352_0_289 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_7_7, all_0_12_12) = v1 & plus(all_0_9_9, all_0_11_11) = v0)
% 207.92/138.06 |
% 207.92/138.06 | Instantiating (784) with all_1424_0_2230 yields:
% 207.92/138.06 | (814) minus(all_0_5_5, all_0_6_6) = all_1424_0_2230 & minus(all_0_12_12, all_0_11_11) = all_1424_0_2230
% 207.92/138.06 |
% 207.92/138.06 | Applying alpha-rule on (814) yields:
% 207.92/138.06 | (815) minus(all_0_5_5, all_0_6_6) = all_1424_0_2230
% 207.92/138.06 | (816) minus(all_0_12_12, all_0_11_11) = all_1424_0_2230
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (810), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (817) all_382_1_298 = all_352_0_289
% 207.92/138.06 |
% 207.92/138.06 | Equations (817) can reduce 447 to:
% 207.92/138.06 | (818) ~ (all_382_0_297 = all_352_0_289)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (568), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (622) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_0_7_7) = v1 & minus(all_0_11_11, all_0_6_6) = v0)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (567), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (614) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_11_11) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (553), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (610) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_179_0_159) = v0 & minus(all_0_9_9, all_23_0_40) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (554), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (654) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_0_5_5) = v0 & minus(all_23_0_40, all_0_9_9) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (551), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (646) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_23_0_40) = v0 & plus(all_0_9_9, all_179_0_159) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (552), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (606) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_0_9_9) = v0 & plus(all_23_0_40, all_0_5_5) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (555), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (690) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_6_6, all_17_0_33) = v0 & plus(all_0_7_7, all_115_1_109) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (574), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (670) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_23_0_40, all_0_5_5) = v1 & plus(all_0_12_12, all_0_9_9) = v0)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (576), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (662) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_0_9_9) = v1 & minus(all_0_12_12, all_0_5_5) = v0)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (575), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (666) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_12_12) = v0 & minus(all_0_9_9, all_23_0_40) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (556), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (698) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_0_7_7) = v0 & plus(all_17_0_33, all_0_6_6) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (557), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (702) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_115_1_109) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (558), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (694) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_0_6_6) = v0 & minus(all_17_0_33, all_0_7_7) = v1)
% 207.92/138.06 |
% 207.92/138.06 +-Applying beta-rule and splitting (561), into two cases.
% 207.92/138.06 |-Branch one:
% 207.92/138.06 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.06 |
% 207.92/138.06 | Equations (442) can reduce 429 to:
% 207.92/138.06 | (243) $false
% 207.92/138.06 |
% 207.92/138.06 |-The branch is then unsatisfiable
% 207.92/138.06 |-Branch two:
% 207.92/138.06 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.06 | (686) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_179_0_159, all_115_1_109) = v0 & minus(all_23_0_40, all_17_0_33) = v1)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (562), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.07 |
% 207.92/138.07 | Equations (442) can reduce 429 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.07 | (682) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_115_1_109, all_179_0_159) = v0 & minus(all_17_0_33, all_23_0_40) = v1)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (560), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.07 |
% 207.92/138.07 | Equations (442) can reduce 429 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.07 | (706) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_115_1_109, all_23_0_40) = v0 & plus(all_17_0_33, all_179_0_159) = v1)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (559), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.07 |
% 207.92/138.07 | Equations (442) can reduce 429 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.07 | (678) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_179_0_159, all_17_0_33) = v0 & plus(all_23_0_40, all_115_1_109) = v1)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (807), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.07 |
% 207.92/138.07 | Equations (442) can reduce 429 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.07 | (890) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_12_12) = v1 & plus(all_0_11_11, all_23_0_40) = v0)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (583), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.07 |
% 207.92/138.07 | Equations (442) can reduce 429 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.07 | (658) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_12_12, all_0_11_11) = v0)
% 207.92/138.07 |
% 207.92/138.07 | Instantiating (658) with all_2535_0_2804, all_2535_1_2805 yields:
% 207.92/138.07 | (895) ~ (all_2535_0_2804 = all_2535_1_2805) & minus(all_23_0_40, all_17_0_33) = all_2535_0_2804 & minus(all_0_12_12, all_0_11_11) = all_2535_1_2805
% 207.92/138.07 |
% 207.92/138.07 | Applying alpha-rule on (895) yields:
% 207.92/138.07 | (896) ~ (all_2535_0_2804 = all_2535_1_2805)
% 207.92/138.07 | (897) minus(all_23_0_40, all_17_0_33) = all_2535_0_2804
% 207.92/138.07 | (898) minus(all_0_12_12, all_0_11_11) = all_2535_1_2805
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (799), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (899) all_382_0_297 = all_382_1_298
% 207.92/138.07 |
% 207.92/138.07 | Combining equations (817,899) yields a new equation:
% 207.92/138.07 | (900) all_382_0_297 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Equations (900) can reduce 818 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (447) ~ (all_382_0_297 = all_382_1_298)
% 207.92/138.07 | (903) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_7_7, all_0_5_5) = v1 & plus(all_0_9_9, all_0_6_6) = v0)
% 207.92/138.07 |
% 207.92/138.07 | Equations (817) can reduce 447 to:
% 207.92/138.07 | (818) ~ (all_382_0_297 = all_352_0_289)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (798), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (899) all_382_0_297 = all_382_1_298
% 207.92/138.07 |
% 207.92/138.07 | Combining equations (817,899) yields a new equation:
% 207.92/138.07 | (900) all_382_0_297 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Equations (900) can reduce 818 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (447) ~ (all_382_0_297 = all_382_1_298)
% 207.92/138.07 | (909) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_0_7_7) = v0 & plus(all_0_6_6, all_0_9_9) = v1)
% 207.92/138.07 |
% 207.92/138.07 | Equations (817) can reduce 447 to:
% 207.92/138.07 | (818) ~ (all_382_0_297 = all_352_0_289)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (813), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (900) all_382_0_297 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Equations (900) can reduce 818 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (818) ~ (all_382_0_297 = all_352_0_289)
% 207.92/138.07 | (914) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_7_7, all_0_12_12) = v1 & plus(all_0_9_9, all_0_11_11) = v0)
% 207.92/138.07 |
% 207.92/138.07 | Instantiating formula (36) with all_0_5_5, all_0_6_6, all_496_0_1633, all_1424_0_2230 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_1424_0_2230, minus(all_0_5_5, all_0_6_6) = all_496_0_1633, yields:
% 207.92/138.07 | (915) all_1424_0_2230 = all_496_0_1633
% 207.92/138.07 |
% 207.92/138.07 | Instantiating formula (36) with all_0_12_12, all_0_11_11, all_2535_1_2805, all_352_0_289 and discharging atoms minus(all_0_12_12, all_0_11_11) = all_2535_1_2805, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 207.92/138.07 | (916) all_2535_1_2805 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Instantiating formula (36) with all_0_12_12, all_0_11_11, all_1424_0_2230, all_2535_1_2805 and discharging atoms minus(all_0_12_12, all_0_11_11) = all_2535_1_2805, minus(all_0_12_12, all_0_11_11) = all_1424_0_2230, yields:
% 207.92/138.07 | (917) all_2535_1_2805 = all_1424_0_2230
% 207.92/138.07 |
% 207.92/138.07 | Instantiating formula (36) with all_0_12_12, all_0_11_11, all_382_0_297, all_2535_1_2805 and discharging atoms minus(all_0_12_12, all_0_11_11) = all_2535_1_2805, minus(all_0_12_12, all_0_11_11) = all_382_0_297, yields:
% 207.92/138.07 | (918) all_2535_1_2805 = all_382_0_297
% 207.92/138.07 |
% 207.92/138.07 | Combining equations (916,917) yields a new equation:
% 207.92/138.07 | (919) all_1424_0_2230 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Combining equations (918,917) yields a new equation:
% 207.92/138.07 | (920) all_1424_0_2230 = all_382_0_297
% 207.92/138.07 |
% 207.92/138.07 | Combining equations (919,915) yields a new equation:
% 207.92/138.07 | (921) all_496_0_1633 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Combining equations (920,915) yields a new equation:
% 207.92/138.07 | (922) all_496_0_1633 = all_382_0_297
% 207.92/138.07 |
% 207.92/138.07 | Combining equations (921,922) yields a new equation:
% 207.92/138.07 | (900) all_382_0_297 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Equations (900) can reduce 818 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (925) ~ (all_382_1_298 = all_352_0_289)
% 207.92/138.07 | (926) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_11_11, all_0_5_5) = v1 & plus(all_0_12_12, all_0_6_6) = v0)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (811), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (817) all_382_1_298 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Equations (817) can reduce 925 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (925) ~ (all_382_1_298 = all_352_0_289)
% 207.92/138.07 | (930) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_5_5, all_0_12_12) = v0 & minus(all_0_6_6, all_0_11_11) = v1)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (812), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (817) all_382_1_298 = all_352_0_289
% 207.92/138.07 |
% 207.92/138.07 | Equations (817) can reduce 925 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (925) ~ (all_382_1_298 = all_352_0_289)
% 207.92/138.07 | (934) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_11_11, all_0_6_6) = v1 & minus(all_0_12_12, all_0_5_5) = v0)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (568), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.07 |
% 207.92/138.07 | Equations (442) can reduce 429 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.07 | (622) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_17_0_33, all_0_7_7) = v1 & minus(all_0_11_11, all_0_6_6) = v0)
% 207.92/138.07 |
% 207.92/138.07 +-Applying beta-rule and splitting (567), into two cases.
% 207.92/138.07 |-Branch one:
% 207.92/138.07 | (442) all_31_0_48 = all_31_1_49
% 207.92/138.07 |
% 207.92/138.07 | Equations (442) can reduce 429 to:
% 207.92/138.07 | (243) $false
% 207.92/138.07 |
% 207.92/138.07 |-The branch is then unsatisfiable
% 207.92/138.07 |-Branch two:
% 207.92/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 207.92/138.07 | (614) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_0_6_6, all_0_11_11) = v0 & minus(all_0_7_7, all_17_0_33) = v1)
% 208.39/138.07 |
% 208.39/138.07 +-Applying beta-rule and splitting (566), into two cases.
% 208.39/138.07 |-Branch one:
% 208.39/138.07 | (442) all_31_0_48 = all_31_1_49
% 208.39/138.07 |
% 208.39/138.07 | Equations (442) can reduce 429 to:
% 208.39/138.07 | (243) $false
% 208.39/138.07 |
% 208.39/138.07 |-The branch is then unsatisfiable
% 208.39/138.07 |-Branch two:
% 208.39/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 208.39/138.07 | (642) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_6_6) = v1 & plus(all_0_11_11, all_0_7_7) = v0)
% 208.39/138.07 |
% 208.39/138.07 +-Applying beta-rule and splitting (807), into two cases.
% 208.39/138.07 |-Branch one:
% 208.39/138.07 | (442) all_31_0_48 = all_31_1_49
% 208.39/138.07 |
% 208.39/138.07 | Equations (442) can reduce 429 to:
% 208.39/138.07 | (243) $false
% 208.39/138.07 |
% 208.39/138.07 |-The branch is then unsatisfiable
% 208.39/138.07 |-Branch two:
% 208.39/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 208.39/138.07 | (890) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_17_0_33, all_0_12_12) = v1 & plus(all_0_11_11, all_23_0_40) = v0)
% 208.39/138.07 |
% 208.39/138.07 +-Applying beta-rule and splitting (583), into two cases.
% 208.39/138.07 |-Branch one:
% 208.39/138.07 | (442) all_31_0_48 = all_31_1_49
% 208.39/138.07 |
% 208.39/138.07 | Equations (442) can reduce 429 to:
% 208.39/138.07 | (243) $false
% 208.39/138.07 |
% 208.39/138.07 |-The branch is then unsatisfiable
% 208.39/138.07 |-Branch two:
% 208.39/138.07 | (429) ~ (all_31_0_48 = all_31_1_49)
% 208.39/138.07 | (658) ? [v0] : ? [v1] : ( ~ (v1 = v0) & minus(all_23_0_40, all_17_0_33) = v1 & minus(all_0_12_12, all_0_11_11) = v0)
% 208.39/138.07 |
% 208.39/138.07 | Instantiating (658) with all_2404_0_2974, all_2404_1_2975 yields:
% 208.39/138.07 | (955) ~ (all_2404_0_2974 = all_2404_1_2975) & minus(all_23_0_40, all_17_0_33) = all_2404_0_2974 & minus(all_0_12_12, all_0_11_11) = all_2404_1_2975
% 208.39/138.07 |
% 208.39/138.07 | Applying alpha-rule on (955) yields:
% 208.39/138.07 | (956) ~ (all_2404_0_2974 = all_2404_1_2975)
% 208.39/138.07 | (957) minus(all_23_0_40, all_17_0_33) = all_2404_0_2974
% 208.39/138.07 | (958) minus(all_0_12_12, all_0_11_11) = all_2404_1_2975
% 208.39/138.07 |
% 208.39/138.07 +-Applying beta-rule and splitting (809), into two cases.
% 208.39/138.07 |-Branch one:
% 208.39/138.07 | (817) all_382_1_298 = all_352_0_289
% 208.39/138.07 |
% 208.39/138.07 | Equations (817) can reduce 925 to:
% 208.39/138.07 | (243) $false
% 208.39/138.07 |
% 208.39/138.07 |-The branch is then unsatisfiable
% 208.39/138.07 |-Branch two:
% 208.39/138.07 | (925) ~ (all_382_1_298 = all_352_0_289)
% 208.39/138.07 | (962) ? [v0] : ? [v1] : ( ~ (v1 = v0) & plus(all_0_5_5, all_0_11_11) = v0 & plus(all_0_6_6, all_0_12_12) = v1)
% 208.39/138.07 |
% 208.39/138.07 | Instantiating formula (36) with all_0_5_5, all_0_6_6, all_1424_0_2230, all_382_1_298 and discharging atoms minus(all_0_5_5, all_0_6_6) = all_1424_0_2230, minus(all_0_5_5, all_0_6_6) = all_382_1_298, yields:
% 208.39/138.07 | (963) all_1424_0_2230 = all_382_1_298
% 208.39/138.07 |
% 208.39/138.07 | Instantiating formula (36) with all_0_12_12, all_0_11_11, all_2404_1_2975, all_352_0_289 and discharging atoms minus(all_0_12_12, all_0_11_11) = all_2404_1_2975, minus(all_0_12_12, all_0_11_11) = all_352_0_289, yields:
% 208.39/138.07 | (964) all_2404_1_2975 = all_352_0_289
% 208.39/138.07 |
% 208.39/138.07 | Instantiating formula (36) with all_0_12_12, all_0_11_11, all_382_0_297, all_2404_1_2975 and discharging atoms minus(all_0_12_12, all_0_11_11) = all_2404_1_2975, minus(all_0_12_12, all_0_11_11) = all_382_0_297, yields:
% 208.39/138.07 | (965) all_2404_1_2975 = all_382_0_297
% 208.39/138.07 |
% 208.39/138.07 | Instantiating formula (36) with all_0_12_12, all_0_11_11, all_382_0_297, all_1424_0_2230 and discharging atoms minus(all_0_12_12, all_0_11_11) = all_1424_0_2230, minus(all_0_12_12, all_0_11_11) = all_382_0_297, yields:
% 208.39/138.07 | (920) all_1424_0_2230 = all_382_0_297
% 208.39/138.07 |
% 208.39/138.07 | Combining equations (965,964) yields a new equation:
% 208.39/138.07 | (967) all_382_0_297 = all_352_0_289
% 208.39/138.07 |
% 208.39/138.07 | Simplifying 967 yields:
% 208.39/138.07 | (900) all_382_0_297 = all_352_0_289
% 208.39/138.07 |
% 208.39/138.07 | Combining equations (920,963) yields a new equation:
% 208.39/138.07 | (969) all_382_0_297 = all_382_1_298
% 208.39/138.07 |
% 208.39/138.07 | Simplifying 969 yields:
% 208.39/138.07 | (899) all_382_0_297 = all_382_1_298
% 208.39/138.07 |
% 208.39/138.07 | Combining equations (899,900) yields a new equation:
% 208.39/138.07 | (971) all_382_1_298 = all_352_0_289
% 208.39/138.07 |
% 208.39/138.07 | Simplifying 971 yields:
% 208.39/138.07 | (817) all_382_1_298 = all_352_0_289
% 208.39/138.07 |
% 208.39/138.07 | Equations (817) can reduce 925 to:
% 208.39/138.07 | (243) $false
% 208.39/138.07 |
% 208.39/138.07 |-The branch is then unsatisfiable
% 208.39/138.07 |-Branch two:
% 208.39/138.07 | (974) ~ (all_0_3_3 = all_0_4_4)
% 208.39/138.07 | (975) all_0_5_5 = all_0_6_6
% 208.39/138.07 |
% 208.39/138.07 | Equations (975) can reduce 433 to:
% 208.39/138.07 | (243) $false
% 208.39/138.07 |
% 208.39/138.07 |-The branch is then unsatisfiable
% 208.39/138.07 |-Branch two:
% 208.39/138.07 | (385) ~ (all_21_3_39 = 0)
% 208.39/138.07 | (978) ? [v0] : ( ~ (v0 = 0) & le(all_0_12_12, all_0_11_11) = v0)
% 208.39/138.07 |
% 208.39/138.07 | Instantiating (978) with all_329_0_3142 yields:
% 208.39/138.07 | (979) ~ (all_329_0_3142 = 0) & le(all_0_12_12, all_0_11_11) = all_329_0_3142
% 208.39/138.07 |
% 208.39/138.07 | Applying alpha-rule on (979) yields:
% 208.39/138.07 | (980) ~ (all_329_0_3142 = 0)
% 208.39/138.07 | (981) le(all_0_12_12, all_0_11_11) = all_329_0_3142
% 208.39/138.07 |
% 208.39/138.07 | Instantiating formula (14) with all_0_12_12, all_0_11_11, 0, all_329_0_3142 and discharging atoms le(all_0_12_12, all_0_11_11) = all_329_0_3142, le(all_0_12_12, all_0_11_11) = 0, yields:
% 208.39/138.07 | (982) all_329_0_3142 = 0
% 208.39/138.07 |
% 208.39/138.07 | Equations (982) can reduce 980 to:
% 208.39/138.07 | (243) $false
% 208.39/138.07 |
% 208.39/138.07 |-The branch is then unsatisfiable
% 208.39/138.07 % SZS output end Proof for theBenchmark
% 208.39/138.08
% 208.39/138.08 137475ms
%------------------------------------------------------------------------------