TSTP Solution File: SWW956+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWW956+1 : TPTP v8.1.0. Released v7.4.0.
% 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 : Thu Jul 21 00:04:52 EDT 2022
% Result : Theorem 81.74s 57.53s
% Output : Proof 120.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW956+1 : TPTP v8.1.0. Released v7.4.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 10:54:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.53 ____ _
% 0.19/0.53 ___ / __ \_____(_)___ ________ __________
% 0.19/0.53 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.53 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.53 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.53
% 0.19/0.53 A Theorem Prover for First-Order Logic
% 0.19/0.53 (ePrincess v.1.0)
% 0.19/0.53
% 0.19/0.53 (c) Philipp Rümmer, 2009-2015
% 0.19/0.53 (c) Peter Backeman, 2014-2015
% 0.19/0.53 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.53 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.53 Bug reports to peter@backeman.se
% 0.19/0.53
% 0.19/0.53 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.53
% 0.19/0.53 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.58 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.61/0.88 Prover 0: Preprocessing ...
% 2.28/1.12 Prover 0: Warning: ignoring some quantifiers
% 2.28/1.14 Prover 0: Constructing countermodel ...
% 5.89/1.94 Prover 0: gave up
% 5.89/1.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 6.16/1.98 Prover 1: Preprocessing ...
% 6.57/2.07 Prover 1: Constructing countermodel ...
% 7.27/2.27 Prover 1: gave up
% 7.27/2.27 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 7.58/2.31 Prover 2: Preprocessing ...
% 8.01/2.40 Prover 2: Warning: ignoring some quantifiers
% 8.14/2.40 Prover 2: Constructing countermodel ...
% 16.29/4.41 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 16.45/4.44 Prover 3: Preprocessing ...
% 16.45/4.47 Prover 3: Warning: ignoring some quantifiers
% 16.45/4.47 Prover 3: Constructing countermodel ...
% 18.19/4.83 Prover 3: gave up
% 18.19/4.84 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 18.19/4.86 Prover 4: Preprocessing ...
% 18.45/4.93 Prover 4: Warning: ignoring some quantifiers
% 18.45/4.93 Prover 4: Constructing countermodel ...
% 21.61/5.83 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 21.98/5.87 Prover 5: Preprocessing ...
% 22.24/5.94 Prover 5: Constructing countermodel ...
% 42.43/21.07 Prover 5: stopped
% 42.77/21.27 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 42.87/21.31 Prover 6: Preprocessing ...
% 42.87/21.35 Prover 6: Warning: ignoring some quantifiers
% 42.87/21.35 Prover 6: Constructing countermodel ...
% 81.74/57.53 Prover 4: proved (7407ms)
% 81.74/57.53 Prover 2: stopped
% 81.74/57.53 Prover 6: stopped
% 81.74/57.53
% 81.74/57.53 No countermodel exists, formula is valid
% 81.74/57.53 % SZS status Theorem for theBenchmark
% 81.74/57.53
% 81.74/57.53 Generating proof ... Warning: ignoring some quantifiers
% 119.63/85.46 found it (size 193)
% 119.63/85.46
% 119.63/85.46 % SZS output start Proof for theBenchmark
% 119.63/85.46 Assumed formulas after preprocessing and simplification:
% 119.63/85.46 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v0 = 0) & ~ (name_objective = name_c) & ~ (name_objective = name_P_7) & ~ (name_objective = name_Nb) & ~ (name_objective = name_Na) & ~ (name_objective = name_G_8) & ~ (name_objective = constr_CONST_4) & ~ (name_objective = constr_CONST_3) & ~ (name_objective = constr_CONST_2) & ~ (name_objective = constr_CONST_0x30) & ~ (name_objective = constr_CONST_1) & ~ (name_c = name_P_7) & ~ (name_c = name_Nb) & ~ (name_c = name_Na) & ~ (name_c = name_G_8) & ~ (name_c = constr_CONST_4) & ~ (name_c = constr_CONST_3) & ~ (name_c = constr_CONST_2) & ~ (name_c = constr_CONST_0x30) & ~ (name_c = constr_CONST_1) & ~ (name_P_7 = name_Nb) & ~ (name_P_7 = name_Na) & ~ (name_P_7 = name_G_8) & ~ (name_P_7 = constr_CONST_4) & ~ (name_P_7 = constr_CONST_3) & ~ (name_P_7 = constr_CONST_2) & ~ (name_P_7 = constr_CONST_0x30) & ~ (name_P_7 = constr_CONST_1) & ~ (name_Nb = name_Na) & ~ (name_Nb = name_G_8) & ~ (name_Nb = constr_CONST_4) & ~ (name_Nb = constr_CONST_3) & ~ (name_Nb = constr_CONST_2) & ~ (name_Nb = constr_CONST_0x30) & ~ (name_Nb = constr_CONST_1) & ~ (name_Na = name_G_8) & ~ (name_Na = constr_CONST_4) & ~ (name_Na = constr_CONST_3) & ~ (name_Na = constr_CONST_2) & ~ (name_Na = constr_CONST_0x30) & ~ (name_Na = constr_CONST_1) & ~ (name_G_8 = constr_CONST_4) & ~ (name_G_8 = constr_CONST_3) & ~ (name_G_8 = constr_CONST_2) & ~ (name_G_8 = constr_CONST_0x30) & ~ (name_G_8 = constr_CONST_1) & ~ (constr_CONST_4 = constr_CONST_3) & ~ (constr_CONST_4 = constr_CONST_2) & ~ (constr_CONST_4 = constr_CONST_0x30) & ~ (constr_CONST_4 = constr_CONST_1) & ~ (constr_CONST_3 = constr_CONST_2) & ~ (constr_CONST_3 = constr_CONST_0x30) & ~ (constr_CONST_3 = constr_CONST_1) & ~ (constr_CONST_2 = constr_CONST_0x30) & ~ (constr_CONST_2 = constr_CONST_1) & ~ (constr_CONST_0x30 = constr_CONST_1) & tuple_A_out_1(name_P_7, name_G_8) = v4 & tuple_A_out_2(v2) = v3 & pred_attacker(v4) = 0 & pred_attacker(v3) = 0 & pred_attacker(tuple_false) = 0 & pred_attacker(tuple_true) = 0 & pred_attacker(name_objective) = v0 & pred_attacker(name_c) = 0 & pred_attacker(constr_CONST_4) = 0 & pred_attacker(constr_CONST_3) = 0 & pred_attacker(constr_CONST_2) = 0 & pred_attacker(constr_CONST_0x30) = 0 & pred_attacker(constr_CONST_1) = 0 & constr_exp(name_G_8, name_Na) = v1 & constr_mod(v1, name_P_7) = v2 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (tuple_B_in_2(v5) = v8) | ~ (tuple_B_out_3(v10) = v11) | ~ (pred_attacker(v11) = v12) | ~ (pred_attacker(v8) = 0) | ~ (constr_exp(v6, name_Nb) = v9) | ~ (constr_mod(v9, v7) = v10) | ? [v13] : ? [v14] : ( ~ (v14 = 0) & tuple_B_in_1(v7, v6) = v13 & pred_attacker(v13) = v14)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (constr_exp(v9, v8) = v10) | ~ (constr_exp(v5, v7) = v9) | ~ (constr_mod(v10, v6) = v11) | ? [v12] : ? [v13] : (constr_exp(v12, v7) = v13 & constr_exp(v5, v8) = v12 & constr_mod(v13, v6) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (constr_exp(v9, v7) = v10) | ~ (constr_exp(v5, v8) = v9) | ~ (constr_mod(v10, v6) = v11) | ? [v12] : ? [v13] : (constr_exp(v12, v8) = v13 & constr_exp(v5, v7) = v12 & constr_mod(v13, v6) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tuple_B_in_1(v7, v6) = v9) | ~ (tuple_B_in_2(v5) = v8) | ~ (pred_attacker(v9) = 0) | ~ (pred_attacker(v8) = 0) | ? [v10] : ? [v11] : ? [v12] : (tuple_B_out_3(v11) = v12 & pred_attacker(v12) = 0 & constr_exp(v6, name_Nb) = v10 & constr_mod(v10, v7) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (pred_equal(v8, v7) = v6) | ~ (pred_equal(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (pred_mess(v8, v7) = v6) | ~ (pred_mess(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (tuple_A_out_1(v8, v7) = v6) | ~ (tuple_A_out_1(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (tuple_B_in_1(v8, v7) = v6) | ~ (tuple_B_in_1(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (constr_exp(v8, v7) = v6) | ~ (constr_exp(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (constr_mod(v8, v7) = v6) | ~ (constr_mod(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (constr_enc(v8, v7) = v6) | ~ (constr_enc(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (constr_dec(v8, v7) = v6) | ~ (constr_dec(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_mess(v6, v5) = v7) | ? [v8] : ? [v9] : (pred_attacker(v6) = v8 & pred_attacker(v5) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (name_new0x2Dname(v7) = v6) | ~ (name_new0x2Dname(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (tuple_A_in_3(v7) = v6) | ~ (tuple_A_in_3(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (tuple_A_out_2(v7) = v6) | ~ (tuple_A_out_2(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (tuple_A_out_4(v7) = v6) | ~ (tuple_A_out_4(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (tuple_B_in_2(v7) = v6) | ~ (tuple_B_in_2(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (tuple_B_out_3(v7) = v6) | ~ (tuple_B_out_3(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (pred_attacker(v7) = v6) | ~ (pred_attacker(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (tuple_A_out_1(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & pred_attacker(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (tuple_A_out_1(v5, v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (tuple_A_out_1(v5, v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v5) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (tuple_B_in_1(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & pred_attacker(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (tuple_B_in_1(v5, v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (tuple_B_in_1(v5, v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v5) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (constr_exp(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & pred_attacker(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (constr_mod(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & pred_attacker(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (constr_enc(v6, v5) = v7) | constr_dec(v7, v5) = v6) & ! [v5] : ! [v6] : ! [v7] : ( ~ (constr_enc(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & pred_attacker(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (constr_dec(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & pred_attacker(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : (v6 = 0 | ~ (pred_equal(v5, v5) = v6)) & ! [v5] : ! [v6] : (v6 = 0 | ~ (pred_attacker(v5) = v6) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & tuple_A_in_3(v5) = v7 & pred_attacker(v7) = v8)) & ! [v5] : ! [v6] : (v6 = 0 | ~ (pred_attacker(v5) = v6) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & tuple_A_out_2(v5) = v7 & pred_attacker(v7) = v8)) & ! [v5] : ! [v6] : (v6 = 0 | ~ (pred_attacker(v5) = v6) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & tuple_A_out_4(v5) = v7 & pred_attacker(v7) = v8)) & ! [v5] : ! [v6] : (v6 = 0 | ~ (pred_attacker(v5) = v6) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & tuple_B_in_2(v5) = v7 & pred_attacker(v7) = v8)) & ! [v5] : ! [v6] : (v6 = 0 | ~ (pred_attacker(v5) = v6) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & tuple_B_out_3(v5) = v7 & pred_attacker(v7) = v8)) & ! [v5] : ! [v6] : ( ~ (name_new0x2Dname(v5) = v6) | pred_attacker(v6) = 0) & ! [v5] : ! [v6] : ( ~ (pred_mess(v6, v5) = 0) | ? [v7] : ? [v8] : (pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_A_in_3(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (tuple_A_out_4(v10) = v11 & pred_attacker(v11) = v12 & pred_attacker(v6) = v7 & constr_exp(v5, name_Na) = v8 & constr_mod(v8, name_P_7) = v9 & constr_enc(name_objective, v9) = v10 & ( ~ (v7 = 0) | v12 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_A_in_3(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_A_in_3(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_A_out_2(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_A_out_2(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_A_out_4(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_A_out_4(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_B_in_2(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_B_in_2(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_B_out_3(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (tuple_B_out_3(v5) = v6) | ? [v7] : ? [v8] : (pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (constr_exp(v5, name_Na) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (tuple_A_in_3(v5) = v7 & tuple_A_out_4(v10) = v11 & pred_attacker(v11) = v12 & pred_attacker(v7) = v8 & constr_mod(v6, name_P_7) = v9 & constr_enc(name_objective, v9) = v10 & ( ~ (v8 = 0) | v12 = 0))) & ! [v5] : ( ~ (pred_attacker(v5) = 0) | ? [v6] : (tuple_A_in_3(v5) = v6 & pred_attacker(v6) = 0)) & ! [v5] : ( ~ (pred_attacker(v5) = 0) | ? [v6] : (tuple_A_out_2(v5) = v6 & pred_attacker(v6) = 0)) & ! [v5] : ( ~ (pred_attacker(v5) = 0) | ? [v6] : (tuple_A_out_4(v5) = v6 & pred_attacker(v6) = 0)) & ! [v5] : ( ~ (pred_attacker(v5) = 0) | ? [v6] : (tuple_B_in_2(v5) = v6 & pred_attacker(v6) = 0)) & ! [v5] : ( ~ (pred_attacker(v5) = 0) | ? [v6] : (tuple_B_out_3(v5) = v6 & pred_attacker(v6) = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (tuple_B_in_1(v7, v6) = v10 & tuple_B_in_2(v5) = v8 & tuple_B_out_3(v13) = v14 & pred_attacker(v14) = v15 & pred_attacker(v10) = v11 & pred_attacker(v8) = v9 & constr_exp(v6, name_Nb) = v12 & constr_mod(v12, v7) = v13 & ( ~ (v11 = 0) | ~ (v9 = 0) | v15 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (tuple_A_in_3(v5) = v6 & tuple_A_out_4(v10) = v11 & pred_attacker(v11) = v12 & pred_attacker(v6) = v7 & constr_exp(v5, name_Na) = v8 & constr_mod(v8, name_P_7) = v9 & constr_enc(name_objective, v9) = v10 & ( ~ (v7 = 0) | v12 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v9) = v10 & pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & constr_exp(v5, v6) = v9 & ( ~ (v8 = 0) | ~ (v7 = 0) | v10 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v9) = v10 & pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & constr_mod(v5, v6) = v9 & ( ~ (v8 = 0) | ~ (v7 = 0) | v10 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v9) = v10 & pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & constr_enc(v5, v6) = v9 & ( ~ (v8 = 0) | ~ (v7 = 0) | v10 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (pred_attacker(v9) = v10 & pred_attacker(v6) = v8 & pred_attacker(v5) = v7 & constr_dec(v5, v6) = v9 & ( ~ (v8 = 0) | ~ (v7 = 0) | v10 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (pred_mess(v6, v5) = v9 & pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (tuple_A_out_1(v5, v6) = v7 & pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : (tuple_A_out_2(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : (tuple_A_out_4(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : (tuple_B_out_3(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v5) = v8 & ( ~ (v7 = 0) | v8 = 0)) & ? [v5] : ? [v6] : (name_new0x2Dname(v5) = v6 & pred_attacker(v6) = 0) & ? [v5] : pred_equal(v5, v5) = 0)
% 119.63/85.52 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 119.63/85.52 | (1) ~ (all_0_4_4 = 0) & ~ (name_objective = name_c) & ~ (name_objective = name_P_7) & ~ (name_objective = name_Nb) & ~ (name_objective = name_Na) & ~ (name_objective = name_G_8) & ~ (name_objective = constr_CONST_4) & ~ (name_objective = constr_CONST_3) & ~ (name_objective = constr_CONST_2) & ~ (name_objective = constr_CONST_0x30) & ~ (name_objective = constr_CONST_1) & ~ (name_c = name_P_7) & ~ (name_c = name_Nb) & ~ (name_c = name_Na) & ~ (name_c = name_G_8) & ~ (name_c = constr_CONST_4) & ~ (name_c = constr_CONST_3) & ~ (name_c = constr_CONST_2) & ~ (name_c = constr_CONST_0x30) & ~ (name_c = constr_CONST_1) & ~ (name_P_7 = name_Nb) & ~ (name_P_7 = name_Na) & ~ (name_P_7 = name_G_8) & ~ (name_P_7 = constr_CONST_4) & ~ (name_P_7 = constr_CONST_3) & ~ (name_P_7 = constr_CONST_2) & ~ (name_P_7 = constr_CONST_0x30) & ~ (name_P_7 = constr_CONST_1) & ~ (name_Nb = name_Na) & ~ (name_Nb = name_G_8) & ~ (name_Nb = constr_CONST_4) & ~ (name_Nb = constr_CONST_3) & ~ (name_Nb = constr_CONST_2) & ~ (name_Nb = constr_CONST_0x30) & ~ (name_Nb = constr_CONST_1) & ~ (name_Na = name_G_8) & ~ (name_Na = constr_CONST_4) & ~ (name_Na = constr_CONST_3) & ~ (name_Na = constr_CONST_2) & ~ (name_Na = constr_CONST_0x30) & ~ (name_Na = constr_CONST_1) & ~ (name_G_8 = constr_CONST_4) & ~ (name_G_8 = constr_CONST_3) & ~ (name_G_8 = constr_CONST_2) & ~ (name_G_8 = constr_CONST_0x30) & ~ (name_G_8 = constr_CONST_1) & ~ (constr_CONST_4 = constr_CONST_3) & ~ (constr_CONST_4 = constr_CONST_2) & ~ (constr_CONST_4 = constr_CONST_0x30) & ~ (constr_CONST_4 = constr_CONST_1) & ~ (constr_CONST_3 = constr_CONST_2) & ~ (constr_CONST_3 = constr_CONST_0x30) & ~ (constr_CONST_3 = constr_CONST_1) & ~ (constr_CONST_2 = constr_CONST_0x30) & ~ (constr_CONST_2 = constr_CONST_1) & ~ (constr_CONST_0x30 = constr_CONST_1) & tuple_A_out_1(name_P_7, name_G_8) = all_0_0_0 & tuple_A_out_2(all_0_2_2) = all_0_1_1 & pred_attacker(all_0_0_0) = 0 & pred_attacker(all_0_1_1) = 0 & pred_attacker(tuple_false) = 0 & pred_attacker(tuple_true) = 0 & pred_attacker(name_objective) = all_0_4_4 & pred_attacker(name_c) = 0 & pred_attacker(constr_CONST_4) = 0 & pred_attacker(constr_CONST_3) = 0 & pred_attacker(constr_CONST_2) = 0 & pred_attacker(constr_CONST_0x30) = 0 & pred_attacker(constr_CONST_1) = 0 & constr_exp(name_G_8, name_Na) = all_0_3_3 & constr_mod(all_0_3_3, name_P_7) = all_0_2_2 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (tuple_B_in_2(v0) = v3) | ~ (tuple_B_out_3(v5) = v6) | ~ (pred_attacker(v6) = v7) | ~ (pred_attacker(v3) = 0) | ~ (constr_exp(v1, name_Nb) = v4) | ~ (constr_mod(v4, v2) = v5) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_B_in_1(v2, v1) = v8 & pred_attacker(v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (constr_exp(v4, v3) = v5) | ~ (constr_exp(v0, v2) = v4) | ~ (constr_mod(v5, v1) = v6) | ? [v7] : ? [v8] : (constr_exp(v7, v2) = v8 & constr_exp(v0, v3) = v7 & constr_mod(v8, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (constr_exp(v4, v2) = v5) | ~ (constr_exp(v0, v3) = v4) | ~ (constr_mod(v5, v1) = v6) | ? [v7] : ? [v8] : (constr_exp(v7, v3) = v8 & constr_exp(v0, v2) = v7 & constr_mod(v8, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tuple_B_in_1(v2, v1) = v4) | ~ (tuple_B_in_2(v0) = v3) | ~ (pred_attacker(v4) = 0) | ~ (pred_attacker(v3) = 0) | ? [v5] : ? [v6] : ? [v7] : (tuple_B_out_3(v6) = v7 & pred_attacker(v7) = 0 & constr_exp(v1, name_Nb) = v5 & constr_mod(v5, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (pred_equal(v3, v2) = v1) | ~ (pred_equal(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (pred_mess(v3, v2) = v1) | ~ (pred_mess(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tuple_A_out_1(v3, v2) = v1) | ~ (tuple_A_out_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tuple_B_in_1(v3, v2) = v1) | ~ (tuple_B_in_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_exp(v3, v2) = v1) | ~ (constr_exp(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_mod(v3, v2) = v1) | ~ (constr_mod(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_enc(v3, v2) = v1) | ~ (constr_enc(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_dec(v3, v2) = v1) | ~ (constr_dec(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (pred_mess(v1, v0) = v2) | ? [v3] : ? [v4] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (name_new0x2Dname(v2) = v1) | ~ (name_new0x2Dname(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_in_3(v2) = v1) | ~ (tuple_A_in_3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_2(v2) = v1) | ~ (tuple_A_out_2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_4(v2) = v1) | ~ (tuple_A_out_4(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_in_2(v2) = v1) | ~ (tuple_B_in_2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_out_3(v2) = v1) | ~ (tuple_B_out_3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred_attacker(v2) = v1) | ~ (pred_attacker(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_A_out_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_A_out_1(v0, v1) = v2) | ? [v3] : ? [v4] : (pred_attacker(v2) = v3 & pred_attacker(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_A_out_1(v0, v1) = v2) | ? [v3] : ? [v4] : (pred_attacker(v2) = v3 & pred_attacker(v0) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_B_in_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_B_in_1(v0, v1) = v2) | ? [v3] : ? [v4] : (pred_attacker(v2) = v3 & pred_attacker(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_B_in_1(v0, v1) = v2) | ? [v3] : ? [v4] : (pred_attacker(v2) = v3 & pred_attacker(v0) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_exp(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_mod(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_enc(v1, v0) = v2) | constr_dec(v2, v0) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_enc(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_dec(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_equal(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_in_3(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_2(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_4(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_in_2(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_out_3(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : ( ~ (name_new0x2Dname(v0) = v1) | pred_attacker(v1) = 0) & ! [v0] : ! [v1] : ( ~ (pred_mess(v1, v0) = 0) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_in_3(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (tuple_A_out_4(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v1) = v2 & constr_exp(v0, name_Na) = v3 & constr_mod(v3, name_P_7) = v4 & constr_enc(name_objective, v4) = v5 & ( ~ (v2 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_in_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_in_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_out_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_out_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_out_4(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_out_4(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_in_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_in_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_out_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_out_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (constr_exp(v0, name_Na) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (tuple_A_in_3(v0) = v2 & tuple_A_out_4(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v2) = v3 & constr_mod(v1, name_P_7) = v4 & constr_enc(name_objective, v4) = v5 & ( ~ (v3 = 0) | v7 = 0))) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_in_3(v0) = v1 & pred_attacker(v1) = 0)) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_2(v0) = v1 & pred_attacker(v1) = 0)) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_4(v0) = v1 & pred_attacker(v1) = 0)) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_in_2(v0) = v1 & pred_attacker(v1) = 0)) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_out_3(v0) = v1 & pred_attacker(v1) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (tuple_B_in_1(v2, v1) = v5 & tuple_B_in_2(v0) = v3 & tuple_B_out_3(v8) = v9 & pred_attacker(v9) = v10 & pred_attacker(v5) = v6 & pred_attacker(v3) = v4 & constr_exp(v1, name_Nb) = v7 & constr_mod(v7, v2) = v8 & ( ~ (v6 = 0) | ~ (v4 = 0) | v10 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (tuple_A_in_3(v0) = v1 & tuple_A_out_4(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v1) = v2 & constr_exp(v0, name_Na) = v3 & constr_mod(v3, name_P_7) = v4 & constr_enc(name_objective, v4) = v5 & ( ~ (v2 = 0) | v7 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_exp(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_mod(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_enc(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_dec(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (pred_mess(v1, v0) = v4 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (tuple_A_out_1(v0, v1) = v2 & pred_attacker(v2) = v3 & pred_attacker(v1) = v4 & ( ~ (v3 = 0) | v4 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_2(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_4(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_B_out_3(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)) & ? [v0] : ? [v1] : (name_new0x2Dname(v0) = v1 & pred_attacker(v1) = 0) & ? [v0] : pred_equal(v0, v0) = 0
% 120.01/85.54 |
% 120.01/85.54 | Applying alpha-rule on (1) yields:
% 120.01/85.54 | (2) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_B_out_3(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))
% 120.01/85.54 | (3) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (pred_mess(v1, v0) = v4 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))
% 120.01/85.54 | (4) ~ (name_G_8 = constr_CONST_3)
% 120.01/85.54 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_2(v2) = v1) | ~ (tuple_A_out_2(v2) = v0))
% 120.01/85.54 | (6) ~ (name_Nb = constr_CONST_4)
% 120.01/85.54 | (7) ! [v0] : ! [v1] : ( ~ (tuple_A_in_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.54 | (8) ! [v0] : ! [v1] : ( ~ (constr_exp(v0, name_Na) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (tuple_A_in_3(v0) = v2 & tuple_A_out_4(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v2) = v3 & constr_mod(v1, name_P_7) = v4 & constr_enc(name_objective, v4) = v5 & ( ~ (v3 = 0) | v7 = 0)))
% 120.01/85.54 | (9) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_in_3(v0) = v1 & pred_attacker(v1) = 0))
% 120.01/85.55 | (10) ~ (name_P_7 = constr_CONST_1)
% 120.01/85.55 | (11) ~ (name_P_7 = name_Na)
% 120.01/85.55 | (12) pred_attacker(constr_CONST_2) = 0
% 120.01/85.55 | (13) pred_attacker(all_0_1_1) = 0
% 120.01/85.55 | (14) ~ (name_P_7 = constr_CONST_3)
% 120.01/85.55 | (15) ! [v0] : ! [v1] : ( ~ (tuple_B_out_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.55 | (16) ~ (name_objective = name_Na)
% 120.01/85.55 | (17) ? [v0] : pred_equal(v0, v0) = 0
% 120.01/85.55 | (18) ~ (name_P_7 = constr_CONST_0x30)
% 120.01/85.55 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tuple_A_out_1(v3, v2) = v1) | ~ (tuple_A_out_1(v3, v2) = v0))
% 120.01/85.55 | (20) ~ (name_objective = constr_CONST_1)
% 120.01/85.55 | (21) ! [v0] : ! [v1] : ( ~ (tuple_B_out_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.55 | (22) ~ (name_c = constr_CONST_4)
% 120.01/85.55 | (23) ~ (constr_CONST_0x30 = constr_CONST_1)
% 120.01/85.55 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (constr_exp(v4, v3) = v5) | ~ (constr_exp(v0, v2) = v4) | ~ (constr_mod(v5, v1) = v6) | ? [v7] : ? [v8] : (constr_exp(v7, v2) = v8 & constr_exp(v0, v3) = v7 & constr_mod(v8, v1) = v6))
% 120.01/85.55 | (25) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_enc(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))
% 120.01/85.55 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_B_in_1(v0, v1) = v2) | ? [v3] : ? [v4] : (pred_attacker(v2) = v3 & pred_attacker(v1) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 120.01/85.55 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tuple_B_in_1(v3, v2) = v1) | ~ (tuple_B_in_1(v3, v2) = v0))
% 120.01/85.55 | (28) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_2(v0) = v1 & pred_attacker(v1) = 0))
% 120.01/85.55 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (constr_exp(v4, v2) = v5) | ~ (constr_exp(v0, v3) = v4) | ~ (constr_mod(v5, v1) = v6) | ? [v7] : ? [v8] : (constr_exp(v7, v3) = v8 & constr_exp(v0, v2) = v7 & constr_mod(v8, v1) = v6))
% 120.01/85.55 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_enc(v3, v2) = v1) | ~ (constr_enc(v3, v2) = v0))
% 120.01/85.55 | (31) ~ (name_Na = constr_CONST_3)
% 120.01/85.55 | (32) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (tuple_A_in_3(v0) = v1 & tuple_A_out_4(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v1) = v2 & constr_exp(v0, name_Na) = v3 & constr_mod(v3, name_P_7) = v4 & constr_enc(name_objective, v4) = v5 & ( ~ (v2 = 0) | v7 = 0))
% 120.01/85.55 | (33) ! [v0] : ! [v1] : ( ~ (tuple_A_out_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.55 | (34) ~ (constr_CONST_4 = constr_CONST_0x30)
% 120.01/85.55 | (35) pred_attacker(name_objective) = all_0_4_4
% 120.01/85.55 | (36) ~ (name_objective = name_G_8)
% 120.01/85.55 | (37) ? [v0] : ? [v1] : (name_new0x2Dname(v0) = v1 & pred_attacker(v1) = 0)
% 120.01/85.55 | (38) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_4(v0) = v1 & pred_attacker(v1) = 0))
% 120.01/85.55 | (39) ~ (name_Nb = constr_CONST_2)
% 120.01/85.55 | (40) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_in_2(v0) = v2 & pred_attacker(v2) = v3))
% 120.01/85.55 | (41) ~ (name_objective = name_c)
% 120.01/85.55 | (42) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_2(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))
% 120.01/85.55 | (43) ! [v0] : ! [v1] : ( ~ (tuple_A_out_4(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.55 | (44) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_4(v0) = v2 & pred_attacker(v2) = v3))
% 120.01/85.55 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_mod(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 120.01/85.55 | (46) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_equal(v0, v0) = v1))
% 120.01/85.55 | (47) ~ (name_objective = name_P_7)
% 120.01/85.55 | (48) ~ (name_G_8 = constr_CONST_2)
% 120.01/85.55 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_exp(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 120.01/85.55 | (50) ~ (constr_CONST_3 = constr_CONST_2)
% 120.01/85.55 | (51) ~ (name_G_8 = constr_CONST_4)
% 120.01/85.56 | (52) ~ (name_c = name_G_8)
% 120.01/85.56 | (53) pred_attacker(constr_CONST_1) = 0
% 120.01/85.56 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_mod(v3, v2) = v1) | ~ (constr_mod(v3, v2) = v0))
% 120.01/85.56 | (55) ~ (name_objective = constr_CONST_0x30)
% 120.01/85.56 | (56) ! [v0] : ! [v1] : ( ~ (pred_mess(v1, v0) = 0) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.56 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (pred_mess(v3, v2) = v1) | ~ (pred_mess(v3, v2) = v0))
% 120.01/85.56 | (58) ~ (name_P_7 = constr_CONST_2)
% 120.01/85.56 | (59) pred_attacker(constr_CONST_0x30) = 0
% 120.01/85.56 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (pred_equal(v3, v2) = v1) | ~ (pred_equal(v3, v2) = v0))
% 120.01/85.56 | (61) ~ (name_c = constr_CONST_2)
% 120.01/85.56 | (62) ~ (name_Na = constr_CONST_4)
% 120.01/85.56 | (63) ~ (name_G_8 = constr_CONST_1)
% 120.01/85.56 | (64) ! [v0] : ! [v1] : ( ~ (tuple_A_in_3(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (tuple_A_out_4(v5) = v6 & pred_attacker(v6) = v7 & pred_attacker(v1) = v2 & constr_exp(v0, name_Na) = v3 & constr_mod(v3, name_P_7) = v4 & constr_enc(name_objective, v4) = v5 & ( ~ (v2 = 0) | v7 = 0)))
% 120.01/85.56 | (65) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_out_3(v0) = v1 & pred_attacker(v1) = 0))
% 120.01/85.56 | (66) ~ (name_Na = constr_CONST_0x30)
% 120.01/85.56 | (67) ~ (name_objective = name_Nb)
% 120.01/85.56 | (68) ~ (name_c = name_Na)
% 120.01/85.56 | (69) ! [v0] : ! [v1] : ( ~ (tuple_A_out_4(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.56 | (70) ! [v0] : ! [v1] : ( ~ (name_new0x2Dname(v0) = v1) | pred_attacker(v1) = 0)
% 120.01/85.56 | (71) ~ (name_c = name_P_7)
% 120.01/85.56 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_dec(v3, v2) = v1) | ~ (constr_dec(v3, v2) = v0))
% 120.01/85.56 | (73) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_2(v0) = v2 & pred_attacker(v2) = v3))
% 120.01/85.56 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_out_3(v2) = v1) | ~ (tuple_B_out_3(v2) = v0))
% 120.01/85.56 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_B_in_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 120.01/85.56 | (76) ~ (constr_CONST_2 = constr_CONST_0x30)
% 120.01/85.56 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (name_new0x2Dname(v2) = v1) | ~ (name_new0x2Dname(v2) = v0))
% 120.01/85.56 | (78) ~ (name_P_7 = constr_CONST_4)
% 120.01/85.56 | (79) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_mod(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))
% 120.01/85.56 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tuple_B_in_1(v2, v1) = v4) | ~ (tuple_B_in_2(v0) = v3) | ~ (pred_attacker(v4) = 0) | ~ (pred_attacker(v3) = 0) | ? [v5] : ? [v6] : ? [v7] : (tuple_B_out_3(v6) = v7 & pred_attacker(v7) = 0 & constr_exp(v1, name_Nb) = v5 & constr_mod(v5, v2) = v6))
% 120.01/85.56 | (81) ~ (constr_CONST_4 = constr_CONST_2)
% 120.01/85.56 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_A_out_1(v0, v1) = v2) | ? [v3] : ? [v4] : (pred_attacker(v2) = v3 & pred_attacker(v1) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 120.01/85.56 | (83) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_dec(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))
% 120.01/85.56 | (84) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_in_2(v0) = v1 & pred_attacker(v1) = 0))
% 120.01/85.56 | (85) ~ (name_c = constr_CONST_1)
% 120.01/85.56 | (86) constr_exp(name_G_8, name_Na) = all_0_3_3
% 120.01/85.56 | (87) ~ (name_Na = constr_CONST_1)
% 120.01/85.56 | (88) ! [v0] : ! [v1] : ( ~ (tuple_A_in_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.56 | (89) ~ (name_objective = constr_CONST_4)
% 120.01/85.56 | (90) ~ (constr_CONST_2 = constr_CONST_1)
% 120.01/85.56 | (91) ~ (name_Nb = constr_CONST_1)
% 120.01/85.56 | (92) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (pred_mess(v1, v0) = v2) | ? [v3] : ? [v4] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 120.01/85.56 | (93) ~ (constr_CONST_3 = constr_CONST_1)
% 120.01/85.56 | (94) ~ (name_Nb = name_G_8)
% 120.01/85.56 | (95) ~ (name_c = constr_CONST_3)
% 120.01/85.56 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_B_in_1(v0, v1) = v2) | ? [v3] : ? [v4] : (pred_attacker(v2) = v3 & pred_attacker(v0) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 120.01/85.57 | (97) pred_attacker(constr_CONST_4) = 0
% 120.01/85.57 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_in_2(v2) = v1) | ~ (tuple_B_in_2(v2) = v0))
% 120.01/85.57 | (99) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (tuple_A_out_1(v0, v1) = v2 & pred_attacker(v2) = v3 & pred_attacker(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))
% 120.01/85.57 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_A_out_1(v0, v1) = v2) | ? [v3] : ? [v4] : (pred_attacker(v2) = v3 & pred_attacker(v0) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 120.01/85.57 | (101) pred_attacker(all_0_0_0) = 0
% 120.01/85.57 | (102) ~ (name_P_7 = name_G_8)
% 120.01/85.57 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (tuple_B_in_2(v0) = v3) | ~ (tuple_B_out_3(v5) = v6) | ~ (pred_attacker(v6) = v7) | ~ (pred_attacker(v3) = 0) | ~ (constr_exp(v1, name_Nb) = v4) | ~ (constr_mod(v4, v2) = v5) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_B_in_1(v2, v1) = v8 & pred_attacker(v8) = v9))
% 120.01/85.57 | (104) ~ (all_0_4_4 = 0)
% 120.01/85.57 | (105) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_4(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))
% 120.01/85.57 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_exp(v3, v2) = v1) | ~ (constr_exp(v3, v2) = v0))
% 120.01/85.57 | (107) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_out_3(v0) = v2 & pred_attacker(v2) = v3))
% 120.01/85.57 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_in_3(v2) = v1) | ~ (tuple_A_in_3(v2) = v0))
% 120.01/85.57 | (109) ~ (name_Nb = name_Na)
% 120.01/85.57 | (110) ~ (name_objective = constr_CONST_3)
% 120.01/85.57 | (111) ~ (name_G_8 = constr_CONST_0x30)
% 120.01/85.57 | (112) ! [v0] : ! [v1] : ! [v2] : ( ~ (tuple_A_out_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 120.01/85.57 | (113) ! [v0] : ! [v1] : ( ~ (tuple_B_in_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.57 | (114) constr_mod(all_0_3_3, name_P_7) = all_0_2_2
% 120.01/85.57 | (115) ~ (name_objective = constr_CONST_2)
% 120.01/85.57 | (116) pred_attacker(name_c) = 0
% 120.01/85.57 | (117) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_exp(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))
% 120.01/85.57 | (118) ! [v0] : ! [v1] : ( ~ (tuple_B_in_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.57 | (119) ~ (name_P_7 = name_Nb)
% 120.01/85.57 | (120) tuple_A_out_2(all_0_2_2) = all_0_1_1
% 120.01/85.57 | (121) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_dec(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 120.01/85.57 | (122) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_4(v2) = v1) | ~ (tuple_A_out_4(v2) = v0))
% 120.01/85.57 | (123) ! [v0] : ! [v1] : ( ~ (tuple_A_out_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 120.01/85.57 | (124) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_enc(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v2) = v5 & pred_attacker(v1) = v4 & pred_attacker(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 120.01/85.57 | (125) pred_attacker(constr_CONST_3) = 0
% 120.01/85.57 | (126) ~ (constr_CONST_3 = constr_CONST_0x30)
% 120.01/85.57 | (127) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred_attacker(v2) = v1) | ~ (pred_attacker(v2) = v0))
% 120.01/85.57 | (128) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (tuple_B_in_1(v2, v1) = v5 & tuple_B_in_2(v0) = v3 & tuple_B_out_3(v8) = v9 & pred_attacker(v9) = v10 & pred_attacker(v5) = v6 & pred_attacker(v3) = v4 & constr_exp(v1, name_Nb) = v7 & constr_mod(v7, v2) = v8 & ( ~ (v6 = 0) | ~ (v4 = 0) | v10 = 0))
% 120.01/85.57 | (129) ~ (name_Nb = constr_CONST_0x30)
% 120.01/85.57 | (130) ~ (constr_CONST_4 = constr_CONST_1)
% 120.01/85.57 | (131) ~ (name_c = name_Nb)
% 120.01/85.57 | (132) pred_attacker(tuple_true) = 0
% 120.01/85.57 | (133) tuple_A_out_1(name_P_7, name_G_8) = all_0_0_0
% 120.01/85.57 | (134) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_in_3(v0) = v2 & pred_attacker(v2) = v3))
% 120.01/85.57 | (135) ~ (name_Nb = constr_CONST_3)
% 120.01/85.58 | (136) ~ (name_Na = name_G_8)
% 120.01/85.58 | (137) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_enc(v1, v0) = v2) | constr_dec(v2, v0) = v1)
% 120.01/85.58 | (138) ~ (name_Na = constr_CONST_2)
% 120.01/85.58 | (139) ~ (constr_CONST_4 = constr_CONST_3)
% 120.01/85.58 | (140) ~ (name_c = constr_CONST_0x30)
% 120.01/85.58 | (141) pred_attacker(tuple_false) = 0
% 120.01/85.58 |
% 120.01/85.58 | Instantiating (32) with all_25_0_54, all_25_1_55, all_25_2_56, all_25_3_57, all_25_4_58, all_25_5_59, all_25_6_60, all_25_7_61 yields:
% 120.01/85.58 | (142) tuple_A_in_3(all_25_7_61) = all_25_6_60 & tuple_A_out_4(all_25_2_56) = all_25_1_55 & pred_attacker(all_25_1_55) = all_25_0_54 & pred_attacker(all_25_6_60) = all_25_5_59 & constr_exp(all_25_7_61, name_Na) = all_25_4_58 & constr_mod(all_25_4_58, name_P_7) = all_25_3_57 & constr_enc(name_objective, all_25_3_57) = all_25_2_56 & ( ~ (all_25_5_59 = 0) | all_25_0_54 = 0)
% 120.01/85.58 |
% 120.01/85.58 | Applying alpha-rule on (142) yields:
% 120.01/85.58 | (143) constr_exp(all_25_7_61, name_Na) = all_25_4_58
% 120.01/85.58 | (144) pred_attacker(all_25_1_55) = all_25_0_54
% 120.01/85.58 | (145) ~ (all_25_5_59 = 0) | all_25_0_54 = 0
% 120.01/85.58 | (146) tuple_A_in_3(all_25_7_61) = all_25_6_60
% 120.01/85.58 | (147) pred_attacker(all_25_6_60) = all_25_5_59
% 120.01/85.58 | (148) constr_enc(name_objective, all_25_3_57) = all_25_2_56
% 120.01/85.58 | (149) tuple_A_out_4(all_25_2_56) = all_25_1_55
% 120.01/85.58 | (150) constr_mod(all_25_4_58, name_P_7) = all_25_3_57
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (112) with all_0_0_0, name_G_8, name_P_7 and discharging atoms tuple_A_out_1(name_P_7, name_G_8) = all_0_0_0, yields:
% 120.01/85.58 | (151) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_0_0_0) = v2 & pred_attacker(name_P_7) = v0 & pred_attacker(name_G_8) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (82) with all_0_0_0, name_G_8, name_P_7 and discharging atoms tuple_A_out_1(name_P_7, name_G_8) = all_0_0_0, yields:
% 120.01/85.58 | (152) ? [v0] : ? [v1] : (pred_attacker(all_0_0_0) = v0 & pred_attacker(name_G_8) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (100) with all_0_0_0, name_G_8, name_P_7 and discharging atoms tuple_A_out_1(name_P_7, name_G_8) = all_0_0_0, yields:
% 120.01/85.58 | (153) ? [v0] : ? [v1] : (pred_attacker(all_0_0_0) = v0 & pred_attacker(name_P_7) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (123) with all_0_1_1, all_0_2_2 and discharging atoms tuple_A_out_2(all_0_2_2) = all_0_1_1, yields:
% 120.01/85.58 | (154) ? [v0] : ? [v1] : (pred_attacker(all_0_1_1) = v1 & pred_attacker(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (33) with all_0_1_1, all_0_2_2 and discharging atoms tuple_A_out_2(all_0_2_2) = all_0_1_1, yields:
% 120.01/85.58 | (155) ? [v0] : ? [v1] : (pred_attacker(all_0_1_1) = v0 & pred_attacker(all_0_2_2) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (9) with all_0_0_0 and discharging atoms pred_attacker(all_0_0_0) = 0, yields:
% 120.01/85.58 | (156) ? [v0] : (tuple_A_in_3(all_0_0_0) = v0 & pred_attacker(v0) = 0)
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (9) with all_0_1_1 and discharging atoms pred_attacker(all_0_1_1) = 0, yields:
% 120.01/85.58 | (157) ? [v0] : (tuple_A_in_3(all_0_1_1) = v0 & pred_attacker(v0) = 0)
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (9) with tuple_false and discharging atoms pred_attacker(tuple_false) = 0, yields:
% 120.01/85.58 | (158) ? [v0] : (tuple_A_in_3(tuple_false) = v0 & pred_attacker(v0) = 0)
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (134) with all_0_4_4, name_objective and discharging atoms pred_attacker(name_objective) = all_0_4_4, yields:
% 120.01/85.58 | (159) all_0_4_4 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_in_3(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (73) with all_0_4_4, name_objective and discharging atoms pred_attacker(name_objective) = all_0_4_4, yields:
% 120.01/85.58 | (160) all_0_4_4 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_2(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (44) with all_0_4_4, name_objective and discharging atoms pred_attacker(name_objective) = all_0_4_4, yields:
% 120.01/85.58 | (161) all_0_4_4 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_4(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (40) with all_0_4_4, name_objective and discharging atoms pred_attacker(name_objective) = all_0_4_4, yields:
% 120.01/85.58 | (162) all_0_4_4 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_in_2(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (107) with all_0_4_4, name_objective and discharging atoms pred_attacker(name_objective) = all_0_4_4, yields:
% 120.01/85.58 | (163) all_0_4_4 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_out_3(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (8) with all_0_3_3, name_G_8 and discharging atoms constr_exp(name_G_8, name_Na) = all_0_3_3, yields:
% 120.01/85.58 | (164) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_in_3(name_G_8) = v0 & tuple_A_out_4(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v0) = v1 & constr_mod(all_0_3_3, name_P_7) = v2 & constr_enc(name_objective, v2) = v3 & ( ~ (v1 = 0) | v5 = 0))
% 120.01/85.58 |
% 120.01/85.58 | Instantiating formula (49) with all_0_3_3, name_Na, name_G_8 and discharging atoms constr_exp(name_G_8, name_Na) = all_0_3_3, yields:
% 120.01/85.59 | (165) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_0_3_3) = v2 & pred_attacker(name_Na) = v1 & pred_attacker(name_G_8) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.01/85.59 |
% 120.01/85.59 | Instantiating formula (45) with all_0_2_2, name_P_7, all_0_3_3 and discharging atoms constr_mod(all_0_3_3, name_P_7) = all_0_2_2, yields:
% 120.01/85.59 | (166) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_0_2_2) = v2 & pred_attacker(all_0_3_3) = v0 & pred_attacker(name_P_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.01/85.59 |
% 120.01/85.59 | Instantiating formula (137) with all_25_2_56, name_objective, all_25_3_57 and discharging atoms constr_enc(name_objective, all_25_3_57) = all_25_2_56, yields:
% 120.01/85.59 | (167) constr_dec(all_25_2_56, all_25_3_57) = name_objective
% 120.01/85.59 |
% 120.01/85.59 | Instantiating formula (124) with all_25_2_56, all_25_3_57, name_objective and discharging atoms constr_enc(name_objective, all_25_3_57) = all_25_2_56, yields:
% 120.01/85.59 | (168) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_25_2_56) = v2 & pred_attacker(all_25_3_57) = v1 & pred_attacker(name_objective) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.01/85.59 |
% 120.01/85.59 | Instantiating (166) with all_43_0_79, all_43_1_80, all_43_2_81 yields:
% 120.01/85.59 | (169) pred_attacker(all_0_2_2) = all_43_0_79 & pred_attacker(all_0_3_3) = all_43_2_81 & pred_attacker(name_P_7) = all_43_1_80 & ( ~ (all_43_1_80 = 0) | ~ (all_43_2_81 = 0) | all_43_0_79 = 0)
% 120.01/85.59 |
% 120.01/85.59 | Applying alpha-rule on (169) yields:
% 120.01/85.59 | (170) pred_attacker(all_0_2_2) = all_43_0_79
% 120.01/85.59 | (171) pred_attacker(all_0_3_3) = all_43_2_81
% 120.01/85.59 | (172) pred_attacker(name_P_7) = all_43_1_80
% 120.01/85.59 | (173) ~ (all_43_1_80 = 0) | ~ (all_43_2_81 = 0) | all_43_0_79 = 0
% 120.01/85.59 |
% 120.01/85.59 | Instantiating (165) with all_55_0_89, all_55_1_90, all_55_2_91 yields:
% 120.01/85.59 | (174) pred_attacker(all_0_3_3) = all_55_0_89 & pred_attacker(name_Na) = all_55_1_90 & pred_attacker(name_G_8) = all_55_2_91 & ( ~ (all_55_1_90 = 0) | ~ (all_55_2_91 = 0) | all_55_0_89 = 0)
% 120.26/85.59 |
% 120.26/85.59 | Applying alpha-rule on (174) yields:
% 120.26/85.59 | (175) pred_attacker(all_0_3_3) = all_55_0_89
% 120.26/85.59 | (176) pred_attacker(name_Na) = all_55_1_90
% 120.26/85.59 | (177) pred_attacker(name_G_8) = all_55_2_91
% 120.26/85.59 | (178) ~ (all_55_1_90 = 0) | ~ (all_55_2_91 = 0) | all_55_0_89 = 0
% 120.26/85.59 |
% 120.26/85.59 | Instantiating (164) with all_57_0_92, all_57_1_93, all_57_2_94, all_57_3_95, all_57_4_96, all_57_5_97 yields:
% 120.26/85.59 | (179) tuple_A_in_3(name_G_8) = all_57_5_97 & tuple_A_out_4(all_57_2_94) = all_57_1_93 & pred_attacker(all_57_1_93) = all_57_0_92 & pred_attacker(all_57_5_97) = all_57_4_96 & constr_mod(all_0_3_3, name_P_7) = all_57_3_95 & constr_enc(name_objective, all_57_3_95) = all_57_2_94 & ( ~ (all_57_4_96 = 0) | all_57_0_92 = 0)
% 120.26/85.59 |
% 120.26/85.59 | Applying alpha-rule on (179) yields:
% 120.26/85.59 | (180) pred_attacker(all_57_1_93) = all_57_0_92
% 120.26/85.59 | (181) tuple_A_out_4(all_57_2_94) = all_57_1_93
% 120.26/85.59 | (182) ~ (all_57_4_96 = 0) | all_57_0_92 = 0
% 120.26/85.59 | (183) tuple_A_in_3(name_G_8) = all_57_5_97
% 120.26/85.59 | (184) constr_enc(name_objective, all_57_3_95) = all_57_2_94
% 120.26/85.59 | (185) constr_mod(all_0_3_3, name_P_7) = all_57_3_95
% 120.26/85.59 | (186) pred_attacker(all_57_5_97) = all_57_4_96
% 120.26/85.59 |
% 120.26/85.59 | Instantiating (168) with all_79_0_123, all_79_1_124, all_79_2_125 yields:
% 120.26/85.59 | (187) pred_attacker(all_25_2_56) = all_79_0_123 & pred_attacker(all_25_3_57) = all_79_1_124 & pred_attacker(name_objective) = all_79_2_125 & ( ~ (all_79_1_124 = 0) | ~ (all_79_2_125 = 0) | all_79_0_123 = 0)
% 120.26/85.59 |
% 120.26/85.59 | Applying alpha-rule on (187) yields:
% 120.26/85.59 | (188) pred_attacker(all_25_2_56) = all_79_0_123
% 120.26/85.59 | (189) pred_attacker(all_25_3_57) = all_79_1_124
% 120.26/85.59 | (190) pred_attacker(name_objective) = all_79_2_125
% 120.26/85.59 | (191) ~ (all_79_1_124 = 0) | ~ (all_79_2_125 = 0) | all_79_0_123 = 0
% 120.26/85.59 |
% 120.26/85.59 | Instantiating (156) with all_85_0_128 yields:
% 120.26/85.59 | (192) tuple_A_in_3(all_0_0_0) = all_85_0_128 & pred_attacker(all_85_0_128) = 0
% 120.26/85.59 |
% 120.26/85.59 | Applying alpha-rule on (192) yields:
% 120.26/85.59 | (193) tuple_A_in_3(all_0_0_0) = all_85_0_128
% 120.26/85.59 | (194) pred_attacker(all_85_0_128) = 0
% 120.26/85.59 |
% 120.26/85.59 | Instantiating (157) with all_87_0_129 yields:
% 120.26/85.59 | (195) tuple_A_in_3(all_0_1_1) = all_87_0_129 & pred_attacker(all_87_0_129) = 0
% 120.26/85.59 |
% 120.26/85.59 | Applying alpha-rule on (195) yields:
% 120.26/85.59 | (196) tuple_A_in_3(all_0_1_1) = all_87_0_129
% 120.26/85.59 | (197) pred_attacker(all_87_0_129) = 0
% 120.26/85.59 |
% 120.26/85.59 | Instantiating (158) with all_161_0_169 yields:
% 120.26/85.59 | (198) tuple_A_in_3(tuple_false) = all_161_0_169 & pred_attacker(all_161_0_169) = 0
% 120.26/85.59 |
% 120.26/85.59 | Applying alpha-rule on (198) yields:
% 120.26/85.59 | (199) tuple_A_in_3(tuple_false) = all_161_0_169
% 120.26/85.59 | (200) pred_attacker(all_161_0_169) = 0
% 120.26/85.59 |
% 120.26/85.59 | Instantiating (155) with all_173_0_179, all_173_1_180 yields:
% 120.26/85.59 | (201) pred_attacker(all_0_1_1) = all_173_1_180 & pred_attacker(all_0_2_2) = all_173_0_179 & ( ~ (all_173_1_180 = 0) | all_173_0_179 = 0)
% 120.26/85.59 |
% 120.26/85.59 | Applying alpha-rule on (201) yields:
% 120.26/85.59 | (202) pred_attacker(all_0_1_1) = all_173_1_180
% 120.26/85.59 | (203) pred_attacker(all_0_2_2) = all_173_0_179
% 120.26/85.59 | (204) ~ (all_173_1_180 = 0) | all_173_0_179 = 0
% 120.26/85.59 |
% 120.26/85.59 | Instantiating (154) with all_175_0_181, all_175_1_182 yields:
% 120.26/85.59 | (205) pred_attacker(all_0_1_1) = all_175_0_181 & pred_attacker(all_0_2_2) = all_175_1_182 & ( ~ (all_175_1_182 = 0) | all_175_0_181 = 0)
% 120.26/85.60 |
% 120.26/85.60 | Applying alpha-rule on (205) yields:
% 120.26/85.60 | (206) pred_attacker(all_0_1_1) = all_175_0_181
% 120.26/85.60 | (207) pred_attacker(all_0_2_2) = all_175_1_182
% 120.26/85.60 | (208) ~ (all_175_1_182 = 0) | all_175_0_181 = 0
% 120.26/85.60 |
% 120.26/85.60 | Instantiating (151) with all_181_0_187, all_181_1_188, all_181_2_189 yields:
% 120.26/85.60 | (209) pred_attacker(all_0_0_0) = all_181_0_187 & pred_attacker(name_P_7) = all_181_2_189 & pred_attacker(name_G_8) = all_181_1_188 & ( ~ (all_181_1_188 = 0) | ~ (all_181_2_189 = 0) | all_181_0_187 = 0)
% 120.26/85.60 |
% 120.26/85.60 | Applying alpha-rule on (209) yields:
% 120.26/85.60 | (210) pred_attacker(all_0_0_0) = all_181_0_187
% 120.26/85.60 | (211) pred_attacker(name_P_7) = all_181_2_189
% 120.26/85.60 | (212) pred_attacker(name_G_8) = all_181_1_188
% 120.26/85.60 | (213) ~ (all_181_1_188 = 0) | ~ (all_181_2_189 = 0) | all_181_0_187 = 0
% 120.26/85.60 |
% 120.26/85.60 | Instantiating (153) with all_193_0_204, all_193_1_205 yields:
% 120.26/85.60 | (214) pred_attacker(all_0_0_0) = all_193_1_205 & pred_attacker(name_P_7) = all_193_0_204 & ( ~ (all_193_1_205 = 0) | all_193_0_204 = 0)
% 120.26/85.60 |
% 120.26/85.60 | Applying alpha-rule on (214) yields:
% 120.26/85.60 | (215) pred_attacker(all_0_0_0) = all_193_1_205
% 120.26/85.60 | (216) pred_attacker(name_P_7) = all_193_0_204
% 120.26/85.60 | (217) ~ (all_193_1_205 = 0) | all_193_0_204 = 0
% 120.26/85.60 |
% 120.26/85.60 | Instantiating (152) with all_221_0_230, all_221_1_231 yields:
% 120.26/85.60 | (218) pred_attacker(all_0_0_0) = all_221_1_231 & pred_attacker(name_G_8) = all_221_0_230 & ( ~ (all_221_1_231 = 0) | all_221_0_230 = 0)
% 120.26/85.60 |
% 120.26/85.60 | Applying alpha-rule on (218) yields:
% 120.26/85.60 | (219) pred_attacker(all_0_0_0) = all_221_1_231
% 120.26/85.60 | (220) pred_attacker(name_G_8) = all_221_0_230
% 120.26/85.60 | (221) ~ (all_221_1_231 = 0) | all_221_0_230 = 0
% 120.26/85.60 |
% 120.26/85.60 +-Applying beta-rule and splitting (160), into two cases.
% 120.26/85.60 |-Branch one:
% 120.26/85.60 | (222) all_0_4_4 = 0
% 120.26/85.60 |
% 120.26/85.60 | Equations (222) can reduce 104 to:
% 120.26/85.60 | (223) $false
% 120.26/85.60 |
% 120.26/85.60 |-The branch is then unsatisfiable
% 120.26/85.60 |-Branch two:
% 120.26/85.60 | (104) ~ (all_0_4_4 = 0)
% 120.26/85.60 | (225) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_2(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.26/85.60 |
% 120.26/85.60 +-Applying beta-rule and splitting (161), into two cases.
% 120.26/85.60 |-Branch one:
% 120.26/85.60 | (222) all_0_4_4 = 0
% 120.26/85.60 |
% 120.26/85.60 | Equations (222) can reduce 104 to:
% 120.26/85.60 | (223) $false
% 120.26/85.60 |
% 120.26/85.60 |-The branch is then unsatisfiable
% 120.26/85.60 |-Branch two:
% 120.26/85.60 | (104) ~ (all_0_4_4 = 0)
% 120.26/85.60 | (229) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_4(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.26/85.60 |
% 120.26/85.60 +-Applying beta-rule and splitting (159), into two cases.
% 120.26/85.60 |-Branch one:
% 120.26/85.60 | (222) all_0_4_4 = 0
% 120.26/85.60 |
% 120.26/85.60 | Equations (222) can reduce 104 to:
% 120.26/85.60 | (223) $false
% 120.26/85.60 |
% 120.26/85.60 |-The branch is then unsatisfiable
% 120.26/85.60 |-Branch two:
% 120.26/85.60 | (104) ~ (all_0_4_4 = 0)
% 120.26/85.60 | (233) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_in_3(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.26/85.60 |
% 120.26/85.60 +-Applying beta-rule and splitting (162), into two cases.
% 120.26/85.60 |-Branch one:
% 120.26/85.60 | (222) all_0_4_4 = 0
% 120.26/85.60 |
% 120.26/85.60 | Equations (222) can reduce 104 to:
% 120.26/85.60 | (223) $false
% 120.26/85.60 |
% 120.26/85.60 |-The branch is then unsatisfiable
% 120.26/85.60 |-Branch two:
% 120.26/85.60 | (104) ~ (all_0_4_4 = 0)
% 120.26/85.60 | (237) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_in_2(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.26/85.61 |
% 120.26/85.61 +-Applying beta-rule and splitting (163), into two cases.
% 120.26/85.61 |-Branch one:
% 120.26/85.61 | (222) all_0_4_4 = 0
% 120.26/85.61 |
% 120.26/85.61 | Equations (222) can reduce 104 to:
% 120.26/85.61 | (223) $false
% 120.26/85.61 |
% 120.26/85.61 |-The branch is then unsatisfiable
% 120.26/85.61 |-Branch two:
% 120.26/85.61 | (104) ~ (all_0_4_4 = 0)
% 120.26/85.61 | (241) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_out_3(name_objective) = v0 & pred_attacker(v0) = v1)
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with all_0_0_0, all_193_1_205, 0 and discharging atoms pred_attacker(all_0_0_0) = all_193_1_205, pred_attacker(all_0_0_0) = 0, yields:
% 120.26/85.61 | (242) all_193_1_205 = 0
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with all_0_0_0, all_193_1_205, all_221_1_231 and discharging atoms pred_attacker(all_0_0_0) = all_221_1_231, pred_attacker(all_0_0_0) = all_193_1_205, yields:
% 120.26/85.61 | (243) all_221_1_231 = all_193_1_205
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with all_0_0_0, all_181_0_187, all_221_1_231 and discharging atoms pred_attacker(all_0_0_0) = all_221_1_231, pred_attacker(all_0_0_0) = all_181_0_187, yields:
% 120.26/85.61 | (244) all_221_1_231 = all_181_0_187
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with all_0_1_1, all_175_0_181, 0 and discharging atoms pred_attacker(all_0_1_1) = all_175_0_181, pred_attacker(all_0_1_1) = 0, yields:
% 120.26/85.61 | (245) all_175_0_181 = 0
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with all_0_1_1, all_173_1_180, all_175_0_181 and discharging atoms pred_attacker(all_0_1_1) = all_175_0_181, pred_attacker(all_0_1_1) = all_173_1_180, yields:
% 120.26/85.61 | (246) all_175_0_181 = all_173_1_180
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with all_0_2_2, all_173_0_179, all_175_1_182 and discharging atoms pred_attacker(all_0_2_2) = all_175_1_182, pred_attacker(all_0_2_2) = all_173_0_179, yields:
% 120.26/85.61 | (247) all_175_1_182 = all_173_0_179
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with all_0_2_2, all_43_0_79, all_175_1_182 and discharging atoms pred_attacker(all_0_2_2) = all_175_1_182, pred_attacker(all_0_2_2) = all_43_0_79, yields:
% 120.26/85.61 | (248) all_175_1_182 = all_43_0_79
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with name_objective, all_79_2_125, all_0_4_4 and discharging atoms pred_attacker(name_objective) = all_79_2_125, pred_attacker(name_objective) = all_0_4_4, yields:
% 120.26/85.61 | (249) all_79_2_125 = all_0_4_4
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with name_G_8, all_181_1_188, all_221_0_230 and discharging atoms pred_attacker(name_G_8) = all_221_0_230, pred_attacker(name_G_8) = all_181_1_188, yields:
% 120.26/85.61 | (250) all_221_0_230 = all_181_1_188
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (127) with name_G_8, all_55_2_91, all_221_0_230 and discharging atoms pred_attacker(name_G_8) = all_221_0_230, pred_attacker(name_G_8) = all_55_2_91, yields:
% 120.26/85.61 | (251) all_221_0_230 = all_55_2_91
% 120.26/85.61 |
% 120.26/85.61 | Instantiating formula (54) with all_0_3_3, name_P_7, all_57_3_95, all_0_2_2 and discharging atoms constr_mod(all_0_3_3, name_P_7) = all_57_3_95, constr_mod(all_0_3_3, name_P_7) = all_0_2_2, yields:
% 120.26/85.61 | (252) all_57_3_95 = all_0_2_2
% 120.26/85.61 |
% 120.26/85.61 | Combining equations (250,251) yields a new equation:
% 120.26/85.61 | (253) all_181_1_188 = all_55_2_91
% 120.26/85.61 |
% 120.26/85.61 | Simplifying 253 yields:
% 120.26/85.61 | (254) all_181_1_188 = all_55_2_91
% 120.26/85.61 |
% 120.26/85.61 | Combining equations (243,244) yields a new equation:
% 120.26/85.61 | (255) all_193_1_205 = all_181_0_187
% 120.26/85.61 |
% 120.26/85.61 | Simplifying 255 yields:
% 120.26/85.61 | (256) all_193_1_205 = all_181_0_187
% 120.26/85.61 |
% 120.26/85.61 | Combining equations (256,242) yields a new equation:
% 120.26/85.61 | (257) all_181_0_187 = 0
% 120.26/85.61 |
% 120.26/85.61 | Simplifying 257 yields:
% 120.26/85.61 | (258) all_181_0_187 = 0
% 120.26/85.61 |
% 120.26/85.61 | Combining equations (246,245) yields a new equation:
% 120.26/85.61 | (259) all_173_1_180 = 0
% 120.26/85.61 |
% 120.26/85.61 | Simplifying 259 yields:
% 120.26/85.61 | (260) all_173_1_180 = 0
% 120.26/85.61 |
% 120.26/85.61 | Combining equations (247,248) yields a new equation:
% 120.26/85.61 | (261) all_173_0_179 = all_43_0_79
% 120.26/85.61 |
% 120.26/85.61 | Simplifying 261 yields:
% 120.26/85.61 | (262) all_173_0_179 = all_43_0_79
% 120.26/85.61 |
% 120.26/85.61 | Combining equations (258,244) yields a new equation:
% 120.26/85.61 | (263) all_221_1_231 = 0
% 120.26/85.61 |
% 120.26/85.61 | From (262) and (203) follows:
% 120.26/85.61 | (170) pred_attacker(all_0_2_2) = all_43_0_79
% 120.26/85.61 |
% 120.26/85.61 | From (249) and (190) follows:
% 120.26/85.61 | (35) pred_attacker(name_objective) = all_0_4_4
% 120.26/85.61 |
% 120.26/85.61 | From (254) and (212) follows:
% 120.26/85.61 | (177) pred_attacker(name_G_8) = all_55_2_91
% 120.26/85.61 |
% 120.26/85.61 | From (252) and (184) follows:
% 120.26/85.61 | (267) constr_enc(name_objective, all_0_2_2) = all_57_2_94
% 120.26/85.61 |
% 120.26/85.61 +-Applying beta-rule and splitting (221), into two cases.
% 120.26/85.61 |-Branch one:
% 120.26/85.61 | (268) ~ (all_221_1_231 = 0)
% 120.26/85.61 |
% 120.26/85.61 | Equations (263) can reduce 268 to:
% 120.26/85.61 | (223) $false
% 120.26/85.61 |
% 120.26/85.61 |-The branch is then unsatisfiable
% 120.26/85.61 |-Branch two:
% 120.26/85.61 | (263) all_221_1_231 = 0
% 120.26/85.61 | (271) all_221_0_230 = 0
% 120.26/85.61 |
% 120.26/85.61 | Combining equations (271,251) yields a new equation:
% 120.26/85.61 | (272) all_55_2_91 = 0
% 120.26/85.61 |
% 120.26/85.61 | From (272) and (177) follows:
% 120.26/85.61 | (273) pred_attacker(name_G_8) = 0
% 120.26/85.61 |
% 120.26/85.61 +-Applying beta-rule and splitting (204), into two cases.
% 120.26/85.61 |-Branch one:
% 120.26/85.61 | (274) ~ (all_173_1_180 = 0)
% 120.26/85.61 |
% 120.26/85.61 | Equations (260) can reduce 274 to:
% 120.26/85.61 | (223) $false
% 120.26/85.62 |
% 120.26/85.62 |-The branch is then unsatisfiable
% 120.26/85.62 |-Branch two:
% 120.26/85.62 | (260) all_173_1_180 = 0
% 120.26/85.62 | (277) all_173_0_179 = 0
% 120.26/85.62 |
% 120.26/85.62 | Combining equations (262,277) yields a new equation:
% 120.26/85.62 | (278) all_43_0_79 = 0
% 120.26/85.62 |
% 120.26/85.62 | Simplifying 278 yields:
% 120.26/85.62 | (279) all_43_0_79 = 0
% 120.26/85.62 |
% 120.26/85.62 | From (279) and (170) follows:
% 120.26/85.62 | (280) pred_attacker(all_0_2_2) = 0
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (64) with all_85_0_128, all_0_0_0 and discharging atoms tuple_A_in_3(all_0_0_0) = all_85_0_128, yields:
% 120.26/85.62 | (281) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_out_4(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(all_85_0_128) = v0 & constr_exp(all_0_0_0, name_Na) = v1 & constr_mod(v1, name_P_7) = v2 & constr_enc(name_objective, v2) = v3 & ( ~ (v0 = 0) | v5 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (64) with all_87_0_129, all_0_1_1 and discharging atoms tuple_A_in_3(all_0_1_1) = all_87_0_129, yields:
% 120.26/85.62 | (282) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_out_4(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(all_87_0_129) = v0 & constr_exp(all_0_1_1, name_Na) = v1 & constr_mod(v1, name_P_7) = v2 & constr_enc(name_objective, v2) = v3 & ( ~ (v0 = 0) | v5 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (64) with all_161_0_169, tuple_false and discharging atoms tuple_A_in_3(tuple_false) = all_161_0_169, yields:
% 120.26/85.62 | (283) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_out_4(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(all_161_0_169) = v0 & constr_exp(tuple_false, name_Na) = v1 & constr_mod(v1, name_P_7) = v2 & constr_enc(name_objective, v2) = v3 & ( ~ (v0 = 0) | v5 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (64) with all_57_5_97, name_G_8 and discharging atoms tuple_A_in_3(name_G_8) = all_57_5_97, yields:
% 120.26/85.62 | (284) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_out_4(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(all_57_5_97) = v0 & constr_exp(name_G_8, name_Na) = v1 & constr_mod(v1, name_P_7) = v2 & constr_enc(name_objective, v2) = v3 & ( ~ (v0 = 0) | v5 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (7) with all_57_5_97, name_G_8 and discharging atoms tuple_A_in_3(name_G_8) = all_57_5_97, yields:
% 120.26/85.62 | (285) ? [v0] : ? [v1] : (pred_attacker(all_57_5_97) = v1 & pred_attacker(name_G_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (69) with all_57_1_93, all_57_2_94 and discharging atoms tuple_A_out_4(all_57_2_94) = all_57_1_93, yields:
% 120.26/85.62 | (286) ? [v0] : ? [v1] : (pred_attacker(all_57_1_93) = v1 & pred_attacker(all_57_2_94) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (43) with all_57_1_93, all_57_2_94 and discharging atoms tuple_A_out_4(all_57_2_94) = all_57_1_93, yields:
% 120.26/85.62 | (287) ? [v0] : ? [v1] : (pred_attacker(all_57_1_93) = v0 & pred_attacker(all_57_2_94) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (137) with all_57_2_94, name_objective, all_0_2_2 and discharging atoms constr_enc(name_objective, all_0_2_2) = all_57_2_94, yields:
% 120.26/85.62 | (288) constr_dec(all_57_2_94, all_0_2_2) = name_objective
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (124) with all_57_2_94, all_0_2_2, name_objective and discharging atoms constr_enc(name_objective, all_0_2_2) = all_57_2_94, yields:
% 120.26/85.62 | (289) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_57_2_94) = v2 & pred_attacker(all_0_2_2) = v1 & pred_attacker(name_objective) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating formula (121) with name_objective, all_25_3_57, all_25_2_56 and discharging atoms constr_dec(all_25_2_56, all_25_3_57) = name_objective, yields:
% 120.26/85.62 | (290) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_25_2_56) = v0 & pred_attacker(all_25_3_57) = v1 & pred_attacker(name_objective) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.26/85.62 |
% 120.26/85.62 | Instantiating (289) with all_287_0_242, all_287_1_243, all_287_2_244 yields:
% 120.26/85.62 | (291) pred_attacker(all_57_2_94) = all_287_0_242 & pred_attacker(all_0_2_2) = all_287_1_243 & pred_attacker(name_objective) = all_287_2_244 & ( ~ (all_287_1_243 = 0) | ~ (all_287_2_244 = 0) | all_287_0_242 = 0)
% 120.26/85.62 |
% 120.26/85.62 | Applying alpha-rule on (291) yields:
% 120.26/85.62 | (292) pred_attacker(all_57_2_94) = all_287_0_242
% 120.26/85.62 | (293) pred_attacker(all_0_2_2) = all_287_1_243
% 120.26/85.62 | (294) pred_attacker(name_objective) = all_287_2_244
% 120.26/85.62 | (295) ~ (all_287_1_243 = 0) | ~ (all_287_2_244 = 0) | all_287_0_242 = 0
% 120.26/85.62 |
% 120.26/85.62 | Instantiating (290) with all_307_0_256, all_307_1_257, all_307_2_258 yields:
% 120.26/85.62 | (296) pred_attacker(all_25_2_56) = all_307_2_258 & pred_attacker(all_25_3_57) = all_307_1_257 & pred_attacker(name_objective) = all_307_0_256 & ( ~ (all_307_1_257 = 0) | ~ (all_307_2_258 = 0) | all_307_0_256 = 0)
% 120.26/85.62 |
% 120.26/85.62 | Applying alpha-rule on (296) yields:
% 120.26/85.62 | (297) pred_attacker(all_25_2_56) = all_307_2_258
% 120.26/85.62 | (298) pred_attacker(all_25_3_57) = all_307_1_257
% 120.26/85.62 | (299) pred_attacker(name_objective) = all_307_0_256
% 120.26/85.62 | (300) ~ (all_307_1_257 = 0) | ~ (all_307_2_258 = 0) | all_307_0_256 = 0
% 120.26/85.62 |
% 120.26/85.62 | Instantiating (287) with all_871_0_540, all_871_1_541 yields:
% 120.26/85.62 | (301) pred_attacker(all_57_1_93) = all_871_1_541 & pred_attacker(all_57_2_94) = all_871_0_540 & ( ~ (all_871_1_541 = 0) | all_871_0_540 = 0)
% 120.26/85.62 |
% 120.26/85.62 | Applying alpha-rule on (301) yields:
% 120.26/85.62 | (302) pred_attacker(all_57_1_93) = all_871_1_541
% 120.26/85.62 | (303) pred_attacker(all_57_2_94) = all_871_0_540
% 120.26/85.62 | (304) ~ (all_871_1_541 = 0) | all_871_0_540 = 0
% 120.26/85.62 |
% 120.26/85.62 | Instantiating (284) with all_877_0_554, all_877_1_555, all_877_2_556, all_877_3_557, all_877_4_558, all_877_5_559 yields:
% 120.26/85.62 | (305) tuple_A_out_4(all_877_2_556) = all_877_1_555 & pred_attacker(all_877_1_555) = all_877_0_554 & pred_attacker(all_57_5_97) = all_877_5_559 & constr_exp(name_G_8, name_Na) = all_877_4_558 & constr_mod(all_877_4_558, name_P_7) = all_877_3_557 & constr_enc(name_objective, all_877_3_557) = all_877_2_556 & ( ~ (all_877_5_559 = 0) | all_877_0_554 = 0)
% 120.26/85.62 |
% 120.26/85.62 | Applying alpha-rule on (305) yields:
% 120.26/85.62 | (306) constr_mod(all_877_4_558, name_P_7) = all_877_3_557
% 120.26/85.62 | (307) constr_enc(name_objective, all_877_3_557) = all_877_2_556
% 120.26/85.62 | (308) pred_attacker(all_57_5_97) = all_877_5_559
% 120.26/85.62 | (309) ~ (all_877_5_559 = 0) | all_877_0_554 = 0
% 120.26/85.62 | (310) pred_attacker(all_877_1_555) = all_877_0_554
% 120.26/85.62 | (311) tuple_A_out_4(all_877_2_556) = all_877_1_555
% 120.26/85.63 | (312) constr_exp(name_G_8, name_Na) = all_877_4_558
% 120.26/85.63 |
% 120.26/85.63 | Instantiating (286) with all_883_0_572, all_883_1_573 yields:
% 120.26/85.63 | (313) pred_attacker(all_57_1_93) = all_883_0_572 & pred_attacker(all_57_2_94) = all_883_1_573 & ( ~ (all_883_1_573 = 0) | all_883_0_572 = 0)
% 120.26/85.63 |
% 120.26/85.63 | Applying alpha-rule on (313) yields:
% 120.26/85.63 | (314) pred_attacker(all_57_1_93) = all_883_0_572
% 120.26/85.63 | (315) pred_attacker(all_57_2_94) = all_883_1_573
% 120.26/85.63 | (316) ~ (all_883_1_573 = 0) | all_883_0_572 = 0
% 120.26/85.63 |
% 120.26/85.63 | Instantiating (283) with all_891_0_592, all_891_1_593, all_891_2_594, all_891_3_595, all_891_4_596, all_891_5_597 yields:
% 120.26/85.63 | (317) tuple_A_out_4(all_891_2_594) = all_891_1_593 & pred_attacker(all_891_1_593) = all_891_0_592 & pred_attacker(all_161_0_169) = all_891_5_597 & constr_exp(tuple_false, name_Na) = all_891_4_596 & constr_mod(all_891_4_596, name_P_7) = all_891_3_595 & constr_enc(name_objective, all_891_3_595) = all_891_2_594 & ( ~ (all_891_5_597 = 0) | all_891_0_592 = 0)
% 120.26/85.63 |
% 120.26/85.63 | Applying alpha-rule on (317) yields:
% 120.26/85.63 | (318) tuple_A_out_4(all_891_2_594) = all_891_1_593
% 120.26/85.63 | (319) constr_exp(tuple_false, name_Na) = all_891_4_596
% 120.26/85.63 | (320) pred_attacker(all_891_1_593) = all_891_0_592
% 120.26/85.63 | (321) pred_attacker(all_161_0_169) = all_891_5_597
% 120.26/85.63 | (322) constr_enc(name_objective, all_891_3_595) = all_891_2_594
% 120.26/85.63 | (323) ~ (all_891_5_597 = 0) | all_891_0_592 = 0
% 120.26/85.63 | (324) constr_mod(all_891_4_596, name_P_7) = all_891_3_595
% 120.26/85.63 |
% 120.26/85.63 | Instantiating (282) with all_893_0_598, all_893_1_599, all_893_2_600, all_893_3_601, all_893_4_602, all_893_5_603 yields:
% 120.26/85.63 | (325) tuple_A_out_4(all_893_2_600) = all_893_1_599 & pred_attacker(all_893_1_599) = all_893_0_598 & pred_attacker(all_87_0_129) = all_893_5_603 & constr_exp(all_0_1_1, name_Na) = all_893_4_602 & constr_mod(all_893_4_602, name_P_7) = all_893_3_601 & constr_enc(name_objective, all_893_3_601) = all_893_2_600 & ( ~ (all_893_5_603 = 0) | all_893_0_598 = 0)
% 120.26/85.63 |
% 120.26/85.63 | Applying alpha-rule on (325) yields:
% 120.26/85.63 | (326) constr_enc(name_objective, all_893_3_601) = all_893_2_600
% 120.26/85.63 | (327) ~ (all_893_5_603 = 0) | all_893_0_598 = 0
% 120.26/85.63 | (328) constr_exp(all_0_1_1, name_Na) = all_893_4_602
% 120.26/85.63 | (329) constr_mod(all_893_4_602, name_P_7) = all_893_3_601
% 120.26/85.63 | (330) pred_attacker(all_893_1_599) = all_893_0_598
% 120.26/85.63 | (331) pred_attacker(all_87_0_129) = all_893_5_603
% 120.26/85.63 | (332) tuple_A_out_4(all_893_2_600) = all_893_1_599
% 120.26/85.63 |
% 120.26/85.63 | Instantiating (285) with all_897_0_610, all_897_1_611 yields:
% 120.26/85.63 | (333) pred_attacker(all_57_5_97) = all_897_0_610 & pred_attacker(name_G_8) = all_897_1_611 & ( ~ (all_897_1_611 = 0) | all_897_0_610 = 0)
% 120.26/85.63 |
% 120.26/85.63 | Applying alpha-rule on (333) yields:
% 120.26/85.63 | (334) pred_attacker(all_57_5_97) = all_897_0_610
% 120.26/85.63 | (335) pred_attacker(name_G_8) = all_897_1_611
% 120.26/85.63 | (336) ~ (all_897_1_611 = 0) | all_897_0_610 = 0
% 120.26/85.63 |
% 120.26/85.63 | Instantiating (281) with all_899_0_612, all_899_1_613, all_899_2_614, all_899_3_615, all_899_4_616, all_899_5_617 yields:
% 120.26/85.63 | (337) tuple_A_out_4(all_899_2_614) = all_899_1_613 & pred_attacker(all_899_1_613) = all_899_0_612 & pred_attacker(all_85_0_128) = all_899_5_617 & constr_exp(all_0_0_0, name_Na) = all_899_4_616 & constr_mod(all_899_4_616, name_P_7) = all_899_3_615 & constr_enc(name_objective, all_899_3_615) = all_899_2_614 & ( ~ (all_899_5_617 = 0) | all_899_0_612 = 0)
% 120.26/85.63 |
% 120.26/85.63 | Applying alpha-rule on (337) yields:
% 120.26/85.63 | (338) pred_attacker(all_899_1_613) = all_899_0_612
% 120.26/85.63 | (339) ~ (all_899_5_617 = 0) | all_899_0_612 = 0
% 120.26/85.63 | (340) constr_exp(all_0_0_0, name_Na) = all_899_4_616
% 120.26/85.63 | (341) pred_attacker(all_85_0_128) = all_899_5_617
% 120.26/85.63 | (342) constr_mod(all_899_4_616, name_P_7) = all_899_3_615
% 120.26/85.63 | (343) tuple_A_out_4(all_899_2_614) = all_899_1_613
% 120.26/85.63 | (344) constr_enc(name_objective, all_899_3_615) = all_899_2_614
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with all_57_1_93, all_883_0_572, all_57_0_92 and discharging atoms pred_attacker(all_57_1_93) = all_883_0_572, pred_attacker(all_57_1_93) = all_57_0_92, yields:
% 120.26/85.63 | (345) all_883_0_572 = all_57_0_92
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with all_57_1_93, all_871_1_541, all_883_0_572 and discharging atoms pred_attacker(all_57_1_93) = all_883_0_572, pred_attacker(all_57_1_93) = all_871_1_541, yields:
% 120.26/85.63 | (346) all_883_0_572 = all_871_1_541
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with all_57_2_94, all_871_0_540, all_883_1_573 and discharging atoms pred_attacker(all_57_2_94) = all_883_1_573, pred_attacker(all_57_2_94) = all_871_0_540, yields:
% 120.26/85.63 | (347) all_883_1_573 = all_871_0_540
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with all_57_2_94, all_287_0_242, all_883_1_573 and discharging atoms pred_attacker(all_57_2_94) = all_883_1_573, pred_attacker(all_57_2_94) = all_287_0_242, yields:
% 120.26/85.63 | (348) all_883_1_573 = all_287_0_242
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with all_57_5_97, all_897_0_610, all_57_4_96 and discharging atoms pred_attacker(all_57_5_97) = all_897_0_610, pred_attacker(all_57_5_97) = all_57_4_96, yields:
% 120.26/85.63 | (349) all_897_0_610 = all_57_4_96
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with all_57_5_97, all_877_5_559, all_897_0_610 and discharging atoms pred_attacker(all_57_5_97) = all_897_0_610, pred_attacker(all_57_5_97) = all_877_5_559, yields:
% 120.26/85.63 | (350) all_897_0_610 = all_877_5_559
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with all_0_2_2, all_287_1_243, 0 and discharging atoms pred_attacker(all_0_2_2) = all_287_1_243, pred_attacker(all_0_2_2) = 0, yields:
% 120.26/85.63 | (351) all_287_1_243 = 0
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with name_objective, all_307_0_256, all_0_4_4 and discharging atoms pred_attacker(name_objective) = all_307_0_256, pred_attacker(name_objective) = all_0_4_4, yields:
% 120.26/85.63 | (352) all_307_0_256 = all_0_4_4
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with name_objective, all_287_2_244, all_307_0_256 and discharging atoms pred_attacker(name_objective) = all_307_0_256, pred_attacker(name_objective) = all_287_2_244, yields:
% 120.26/85.63 | (353) all_307_0_256 = all_287_2_244
% 120.26/85.63 |
% 120.26/85.63 | Instantiating formula (127) with name_G_8, all_897_1_611, 0 and discharging atoms pred_attacker(name_G_8) = all_897_1_611, pred_attacker(name_G_8) = 0, yields:
% 120.26/85.63 | (354) all_897_1_611 = 0
% 120.26/85.63 |
% 120.26/85.63 | Combining equations (349,350) yields a new equation:
% 120.26/85.63 | (355) all_877_5_559 = all_57_4_96
% 120.26/85.63 |
% 120.26/85.63 | Combining equations (345,346) yields a new equation:
% 120.26/85.63 | (356) all_871_1_541 = all_57_0_92
% 120.26/85.63 |
% 120.26/85.63 | Combining equations (347,348) yields a new equation:
% 120.26/85.63 | (357) all_871_0_540 = all_287_0_242
% 120.26/85.63 |
% 120.26/85.63 | Simplifying 357 yields:
% 120.26/85.63 | (358) all_871_0_540 = all_287_0_242
% 120.26/85.63 |
% 120.26/85.63 | Combining equations (352,353) yields a new equation:
% 120.26/85.63 | (359) all_287_2_244 = all_0_4_4
% 120.26/85.63 |
% 120.26/85.63 | Combining equations (355,350) yields a new equation:
% 120.26/85.63 | (349) all_897_0_610 = all_57_4_96
% 120.26/85.63 |
% 120.26/85.63 | From (358) and (303) follows:
% 120.26/85.63 | (292) pred_attacker(all_57_2_94) = all_287_0_242
% 120.26/85.63 |
% 120.26/85.63 | From (351) and (293) follows:
% 120.26/85.63 | (280) pred_attacker(all_0_2_2) = 0
% 120.26/85.63 |
% 120.26/85.63 | From (359) and (294) follows:
% 120.26/85.63 | (35) pred_attacker(name_objective) = all_0_4_4
% 120.26/85.63 |
% 120.26/85.63 +-Applying beta-rule and splitting (336), into two cases.
% 120.26/85.63 |-Branch one:
% 120.26/85.63 | (364) ~ (all_897_1_611 = 0)
% 120.26/85.63 |
% 120.26/85.63 | Equations (354) can reduce 364 to:
% 120.26/85.63 | (223) $false
% 120.26/85.63 |
% 120.26/85.63 |-The branch is then unsatisfiable
% 120.26/85.63 |-Branch two:
% 120.26/85.63 | (354) all_897_1_611 = 0
% 120.26/85.63 | (367) all_897_0_610 = 0
% 120.26/85.63 |
% 120.26/85.63 | Combining equations (349,367) yields a new equation:
% 120.26/85.63 | (368) all_57_4_96 = 0
% 120.26/85.63 |
% 120.26/85.63 | Simplifying 368 yields:
% 120.26/85.63 | (369) all_57_4_96 = 0
% 120.26/85.63 |
% 120.26/85.63 +-Applying beta-rule and splitting (182), into two cases.
% 120.26/85.63 |-Branch one:
% 120.26/85.63 | (370) ~ (all_57_4_96 = 0)
% 120.26/85.63 |
% 120.26/85.63 | Equations (369) can reduce 370 to:
% 120.26/85.63 | (223) $false
% 120.26/85.63 |
% 120.26/85.63 |-The branch is then unsatisfiable
% 120.26/85.63 |-Branch two:
% 120.26/85.63 | (369) all_57_4_96 = 0
% 120.26/85.63 | (373) all_57_0_92 = 0
% 120.26/85.63 |
% 120.26/85.63 | Combining equations (373,356) yields a new equation:
% 120.26/85.63 | (374) all_871_1_541 = 0
% 120.26/85.63 |
% 120.26/85.64 +-Applying beta-rule and splitting (304), into two cases.
% 120.26/85.64 |-Branch one:
% 120.26/85.64 | (375) ~ (all_871_1_541 = 0)
% 120.26/85.64 |
% 120.26/85.64 | Equations (374) can reduce 375 to:
% 120.26/85.64 | (223) $false
% 120.26/85.64 |
% 120.26/85.64 |-The branch is then unsatisfiable
% 120.26/85.64 |-Branch two:
% 120.26/85.64 | (374) all_871_1_541 = 0
% 120.26/85.64 | (378) all_871_0_540 = 0
% 120.26/85.64 |
% 120.26/85.64 | Combining equations (358,378) yields a new equation:
% 120.26/85.64 | (379) all_287_0_242 = 0
% 120.26/85.64 |
% 120.26/85.64 | Simplifying 379 yields:
% 120.26/85.64 | (380) all_287_0_242 = 0
% 120.26/85.64 |
% 120.26/85.64 | From (380) and (292) follows:
% 120.26/85.64 | (381) pred_attacker(all_57_2_94) = 0
% 120.26/85.64 |
% 120.26/85.64 | Instantiating formula (124) with all_899_2_614, all_899_3_615, name_objective and discharging atoms constr_enc(name_objective, all_899_3_615) = all_899_2_614, yields:
% 120.26/85.64 | (382) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_899_2_614) = v2 & pred_attacker(all_899_3_615) = v1 & pred_attacker(name_objective) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.26/85.64 |
% 120.26/85.64 | Instantiating formula (124) with all_893_2_600, all_893_3_601, name_objective and discharging atoms constr_enc(name_objective, all_893_3_601) = all_893_2_600, yields:
% 120.26/85.64 | (383) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_893_2_600) = v2 & pred_attacker(all_893_3_601) = v1 & pred_attacker(name_objective) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.26/85.64 |
% 120.26/85.64 | Instantiating formula (124) with all_891_2_594, all_891_3_595, name_objective and discharging atoms constr_enc(name_objective, all_891_3_595) = all_891_2_594, yields:
% 120.26/85.64 | (384) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_891_2_594) = v2 & pred_attacker(all_891_3_595) = v1 & pred_attacker(name_objective) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.26/85.64 |
% 120.26/85.64 | Instantiating formula (121) with name_objective, all_0_2_2, all_57_2_94 and discharging atoms constr_dec(all_57_2_94, all_0_2_2) = name_objective, yields:
% 120.26/85.64 | (385) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_57_2_94) = v0 & pred_attacker(all_0_2_2) = v1 & pred_attacker(name_objective) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 120.26/85.64 |
% 120.26/85.64 | Instantiating (385) with all_2438_0_1198, all_2438_1_1199, all_2438_2_1200 yields:
% 120.26/85.64 | (386) pred_attacker(all_57_2_94) = all_2438_2_1200 & pred_attacker(all_0_2_2) = all_2438_1_1199 & pred_attacker(name_objective) = all_2438_0_1198 & ( ~ (all_2438_1_1199 = 0) | ~ (all_2438_2_1200 = 0) | all_2438_0_1198 = 0)
% 120.26/85.64 |
% 120.26/85.64 | Applying alpha-rule on (386) yields:
% 120.26/85.64 | (387) pred_attacker(all_57_2_94) = all_2438_2_1200
% 120.26/85.64 | (388) pred_attacker(all_0_2_2) = all_2438_1_1199
% 120.26/85.64 | (389) pred_attacker(name_objective) = all_2438_0_1198
% 120.26/85.64 | (390) ~ (all_2438_1_1199 = 0) | ~ (all_2438_2_1200 = 0) | all_2438_0_1198 = 0
% 120.26/85.64 |
% 120.26/85.64 | Instantiating (383) with all_2450_0_1210, all_2450_1_1211, all_2450_2_1212 yields:
% 120.26/85.64 | (391) pred_attacker(all_893_2_600) = all_2450_0_1210 & pred_attacker(all_893_3_601) = all_2450_1_1211 & pred_attacker(name_objective) = all_2450_2_1212 & ( ~ (all_2450_1_1211 = 0) | ~ (all_2450_2_1212 = 0) | all_2450_0_1210 = 0)
% 120.26/85.64 |
% 120.26/85.64 | Applying alpha-rule on (391) yields:
% 120.26/85.64 | (392) pred_attacker(all_893_2_600) = all_2450_0_1210
% 120.26/85.64 | (393) pred_attacker(all_893_3_601) = all_2450_1_1211
% 120.26/85.64 | (394) pred_attacker(name_objective) = all_2450_2_1212
% 120.26/85.64 | (395) ~ (all_2450_1_1211 = 0) | ~ (all_2450_2_1212 = 0) | all_2450_0_1210 = 0
% 120.26/85.64 |
% 120.26/85.64 | Instantiating (382) with all_2662_0_1320, all_2662_1_1321, all_2662_2_1322 yields:
% 120.26/85.64 | (396) pred_attacker(all_899_2_614) = all_2662_0_1320 & pred_attacker(all_899_3_615) = all_2662_1_1321 & pred_attacker(name_objective) = all_2662_2_1322 & ( ~ (all_2662_1_1321 = 0) | ~ (all_2662_2_1322 = 0) | all_2662_0_1320 = 0)
% 120.26/85.64 |
% 120.26/85.64 | Applying alpha-rule on (396) yields:
% 120.26/85.64 | (397) pred_attacker(all_899_2_614) = all_2662_0_1320
% 120.26/85.64 | (398) pred_attacker(all_899_3_615) = all_2662_1_1321
% 120.26/85.64 | (399) pred_attacker(name_objective) = all_2662_2_1322
% 120.26/85.64 | (400) ~ (all_2662_1_1321 = 0) | ~ (all_2662_2_1322 = 0) | all_2662_0_1320 = 0
% 120.26/85.64 |
% 120.26/85.64 | Instantiating (384) with all_2732_0_1377, all_2732_1_1378, all_2732_2_1379 yields:
% 120.26/85.64 | (401) pred_attacker(all_891_2_594) = all_2732_0_1377 & pred_attacker(all_891_3_595) = all_2732_1_1378 & pred_attacker(name_objective) = all_2732_2_1379 & ( ~ (all_2732_1_1378 = 0) | ~ (all_2732_2_1379 = 0) | all_2732_0_1377 = 0)
% 120.26/85.64 |
% 120.26/85.64 | Applying alpha-rule on (401) yields:
% 120.26/85.64 | (402) pred_attacker(all_891_2_594) = all_2732_0_1377
% 120.26/85.64 | (403) pred_attacker(all_891_3_595) = all_2732_1_1378
% 120.26/85.64 | (404) pred_attacker(name_objective) = all_2732_2_1379
% 120.26/85.64 | (405) ~ (all_2732_1_1378 = 0) | ~ (all_2732_2_1379 = 0) | all_2732_0_1377 = 0
% 120.26/85.64 |
% 120.26/85.64 | Instantiating formula (127) with all_57_2_94, all_2438_2_1200, 0 and discharging atoms pred_attacker(all_57_2_94) = all_2438_2_1200, pred_attacker(all_57_2_94) = 0, yields:
% 120.26/85.64 | (406) all_2438_2_1200 = 0
% 120.26/85.64 |
% 120.26/85.64 | Instantiating formula (127) with all_0_2_2, all_2438_1_1199, 0 and discharging atoms pred_attacker(all_0_2_2) = all_2438_1_1199, pred_attacker(all_0_2_2) = 0, yields:
% 120.26/85.65 | (407) all_2438_1_1199 = 0
% 120.26/85.65 |
% 120.26/85.65 | Instantiating formula (127) with name_objective, all_2662_2_1322, all_0_4_4 and discharging atoms pred_attacker(name_objective) = all_2662_2_1322, pred_attacker(name_objective) = all_0_4_4, yields:
% 120.26/85.65 | (408) all_2662_2_1322 = all_0_4_4
% 120.26/85.65 |
% 120.26/85.65 | Instantiating formula (127) with name_objective, all_2662_2_1322, all_2732_2_1379 and discharging atoms pred_attacker(name_objective) = all_2732_2_1379, pred_attacker(name_objective) = all_2662_2_1322, yields:
% 120.26/85.65 | (409) all_2732_2_1379 = all_2662_2_1322
% 120.26/85.65 |
% 120.26/85.65 | Instantiating formula (127) with name_objective, all_2450_2_1212, all_2662_2_1322 and discharging atoms pred_attacker(name_objective) = all_2662_2_1322, pred_attacker(name_objective) = all_2450_2_1212, yields:
% 120.26/85.65 | (410) all_2662_2_1322 = all_2450_2_1212
% 120.26/85.65 |
% 120.26/85.65 | Instantiating formula (127) with name_objective, all_2438_0_1198, all_2732_2_1379 and discharging atoms pred_attacker(name_objective) = all_2732_2_1379, pred_attacker(name_objective) = all_2438_0_1198, yields:
% 120.26/85.65 | (411) all_2732_2_1379 = all_2438_0_1198
% 120.26/85.65 |
% 120.26/85.65 | Combining equations (409,411) yields a new equation:
% 120.26/85.65 | (412) all_2662_2_1322 = all_2438_0_1198
% 120.26/85.65 |
% 120.26/85.65 | Simplifying 412 yields:
% 120.26/85.65 | (413) all_2662_2_1322 = all_2438_0_1198
% 120.26/85.65 |
% 120.26/85.65 | Combining equations (408,410) yields a new equation:
% 120.26/85.65 | (414) all_2450_2_1212 = all_0_4_4
% 120.26/85.65 |
% 120.26/85.65 | Combining equations (413,410) yields a new equation:
% 120.26/85.65 | (415) all_2450_2_1212 = all_2438_0_1198
% 120.26/85.65 |
% 120.26/85.65 | Combining equations (415,414) yields a new equation:
% 120.26/85.65 | (416) all_2438_0_1198 = all_0_4_4
% 120.26/85.65 |
% 120.26/85.65 | Simplifying 416 yields:
% 120.26/85.65 | (417) all_2438_0_1198 = all_0_4_4
% 120.26/85.65 |
% 120.26/85.65 +-Applying beta-rule and splitting (390), into two cases.
% 120.26/85.65 |-Branch one:
% 120.26/85.65 | (418) ~ (all_2438_1_1199 = 0)
% 120.26/85.65 |
% 120.26/85.65 | Equations (407) can reduce 418 to:
% 120.26/85.65 | (223) $false
% 120.26/85.65 |
% 120.26/85.65 |-The branch is then unsatisfiable
% 120.26/85.65 |-Branch two:
% 120.26/85.65 | (407) all_2438_1_1199 = 0
% 120.26/85.65 | (421) ~ (all_2438_2_1200 = 0) | all_2438_0_1198 = 0
% 120.26/85.65 |
% 120.26/85.65 +-Applying beta-rule and splitting (421), into two cases.
% 120.26/85.65 |-Branch one:
% 120.26/85.65 | (422) ~ (all_2438_2_1200 = 0)
% 120.26/85.65 |
% 120.26/85.65 | Equations (406) can reduce 422 to:
% 120.26/85.65 | (223) $false
% 120.26/85.65 |
% 120.26/85.65 |-The branch is then unsatisfiable
% 120.26/85.65 |-Branch two:
% 120.26/85.65 | (406) all_2438_2_1200 = 0
% 120.26/85.65 | (425) all_2438_0_1198 = 0
% 120.26/85.65 |
% 120.26/85.65 | Combining equations (425,417) yields a new equation:
% 120.26/85.65 | (222) all_0_4_4 = 0
% 120.26/85.65 |
% 120.26/85.65 | Equations (222) can reduce 104 to:
% 120.26/85.65 | (223) $false
% 120.26/85.65 |
% 120.26/85.65 |-The branch is then unsatisfiable
% 120.26/85.65 % SZS output end Proof for theBenchmark
% 120.26/85.65
% 120.26/85.65 85112ms
%------------------------------------------------------------------------------