TSTP Solution File: SWW955+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWW955+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 00:04:51 EDT 2022
% Result : Theorem 70.06s 43.63s
% Output : Proof 175.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SWW955+1 : TPTP v8.1.0. Released v7.4.0.
% 0.09/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 5 17:09:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.61/0.61 ____ _
% 0.61/0.61 ___ / __ \_____(_)___ ________ __________
% 0.61/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.61
% 0.61/0.61 A Theorem Prover for First-Order Logic
% 0.61/0.61 (ePrincess v.1.0)
% 0.61/0.61
% 0.61/0.61 (c) Philipp Rümmer, 2009-2015
% 0.61/0.61 (c) Peter Backeman, 2014-2015
% 0.61/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.61 Bug reports to peter@backeman.se
% 0.61/0.61
% 0.61/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.61
% 0.61/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.67/0.98 Prover 0: Preprocessing ...
% 2.34/1.20 Prover 0: Warning: ignoring some quantifiers
% 2.34/1.22 Prover 0: Constructing countermodel ...
% 4.35/1.77 Prover 0: gave up
% 4.35/1.77 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.89/1.81 Prover 1: Preprocessing ...
% 5.01/1.90 Prover 1: Constructing countermodel ...
% 5.77/2.02 Prover 1: gave up
% 5.77/2.02 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 5.77/2.05 Prover 2: Preprocessing ...
% 6.40/2.13 Prover 2: Warning: ignoring some quantifiers
% 6.40/2.14 Prover 2: Constructing countermodel ...
% 14.80/4.21 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 14.80/4.25 Prover 3: Preprocessing ...
% 15.28/4.30 Prover 3: Warning: ignoring some quantifiers
% 15.37/4.31 Prover 3: Constructing countermodel ...
% 16.47/4.58 Prover 3: gave up
% 16.47/4.58 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 16.47/4.60 Prover 4: Preprocessing ...
% 16.83/4.69 Prover 4: Warning: ignoring some quantifiers
% 16.83/4.69 Prover 4: Constructing countermodel ...
% 20.39/5.59 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 20.81/5.63 Prover 5: Preprocessing ...
% 20.81/5.69 Prover 5: Constructing countermodel ...
% 44.29/20.96 Prover 5: stopped
% 44.45/21.16 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 44.64/21.20 Prover 6: Preprocessing ...
% 44.75/21.24 Prover 6: Warning: ignoring some quantifiers
% 44.75/21.24 Prover 6: Constructing countermodel ...
% 70.06/43.63 Prover 4: proved (2665ms)
% 70.06/43.63 Prover 2: stopped
% 70.06/43.63 Prover 6: stopped
% 70.06/43.63
% 70.06/43.63 No countermodel exists, formula is valid
% 70.06/43.63 % SZS status Theorem for theBenchmark
% 70.06/43.63
% 70.06/43.63 Generating proof ... Warning: ignoring some quantifiers
% 175.30/131.21 found it (size 142)
% 175.30/131.21
% 175.30/131.21 % SZS output start Proof for theBenchmark
% 175.30/131.21 Assumed formulas after preprocessing and simplification:
% 175.30/131.21 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v0 = 0) & ~ (name_objective = name_m_9) & ~ (name_objective = name_c) & ~ (name_objective = name_Kb) & ~ (name_objective = name_Ka) & ~ (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_m_9 = name_c) & ~ (name_m_9 = name_Kb) & ~ (name_m_9 = name_Ka) & ~ (name_m_9 = constr_CONST_4) & ~ (name_m_9 = constr_CONST_3) & ~ (name_m_9 = constr_CONST_2) & ~ (name_m_9 = constr_CONST_0x30) & ~ (name_m_9 = constr_CONST_1) & ~ (name_c = name_Kb) & ~ (name_c = name_Ka) & ~ (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_Kb = name_Ka) & ~ (name_Kb = constr_CONST_4) & ~ (name_Kb = constr_CONST_3) & ~ (name_Kb = constr_CONST_2) & ~ (name_Kb = constr_CONST_0x30) & ~ (name_Kb = constr_CONST_1) & ~ (name_Ka = constr_CONST_4) & ~ (name_Ka = constr_CONST_3) & ~ (name_Ka = constr_CONST_2) & ~ (name_Ka = constr_CONST_0x30) & ~ (name_Ka = 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(v4) = v5 & tuple_A_out_4(v1) = v2 & pred_attacker(v5) = 0 & pred_attacker(v2) = v3 & 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_comm_enc(name_m_9, name_Ka) = v4 & constr_enc(name_objective, name_m_9) = v1 & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (pred_equal(v9, v8) = v7) | ~ (pred_equal(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (pred_mess(v9, v8) = v7) | ~ (pred_mess(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (constr_comm_enc(v9, v8) = v7) | ~ (constr_comm_enc(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (constr_comm_dec(v9, v8) = v7) | ~ (constr_comm_dec(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (constr_enc(v9, v8) = v7) | ~ (constr_enc(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (constr_dec(v9, v8) = v7) | ~ (constr_dec(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (pred_mess(v7, v6) = v8) | ? [v9] : ? [v10] : (pred_attacker(v7) = v9 & pred_attacker(v6) = v10 & ( ~ (v10 = 0) | ~ (v9 = 0)))) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (name_new0x2Dname(v8) = v7) | ~ (name_new0x2Dname(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (tuple_A_in_2(v8) = v7) | ~ (tuple_A_in_2(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (tuple_A_out_1(v8) = v7) | ~ (tuple_A_out_1(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (tuple_A_out_3(v8) = v7) | ~ (tuple_A_out_3(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (tuple_A_out_4(v8) = v7) | ~ (tuple_A_out_4(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (tuple_B_in_1(v8) = v7) | ~ (tuple_B_in_1(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (tuple_B_in_3(v8) = v7) | ~ (tuple_B_in_3(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (tuple_B_out_2(v8) = v7) | ~ (tuple_B_out_2(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (pred_attacker(v8) = v7) | ~ (pred_attacker(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (constr_comm_enc(v7, v6) = v8) | constr_comm_dec(v8, v6) = v7) & ! [v6] : ! [v7] : ! [v8] : ( ~ (constr_comm_enc(v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : (pred_attacker(v8) = v11 & pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | v11 = 0))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (constr_comm_dec(v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : (pred_attacker(v8) = v11 & pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | v11 = 0))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (constr_enc(v7, v6) = v8) | constr_dec(v8, v6) = v7) & ! [v6] : ! [v7] : ! [v8] : ( ~ (constr_enc(v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : (pred_attacker(v8) = v11 & pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | v11 = 0))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (constr_dec(v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : (pred_attacker(v8) = v11 & pred_attacker(v7) = v10 & pred_attacker(v6) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | v11 = 0))) & ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_equal(v6, v6) = v7)) & ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_attacker(v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_A_in_2(v6) = v8 & pred_attacker(v8) = v9)) & ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_attacker(v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_A_out_1(v6) = v8 & pred_attacker(v8) = v9)) & ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_attacker(v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_A_out_3(v6) = v8 & pred_attacker(v8) = v9)) & ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_attacker(v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_A_out_4(v6) = v8 & pred_attacker(v8) = v9)) & ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_attacker(v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_B_in_1(v6) = v8 & pred_attacker(v8) = v9)) & ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_attacker(v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_B_in_3(v6) = v8 & pred_attacker(v8) = v9)) & ! [v6] : ! [v7] : (v7 = 0 | ~ (pred_attacker(v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & tuple_B_out_2(v6) = v8 & pred_attacker(v8) = v9)) & ! [v6] : ! [v7] : (v3 = 0 | ~ (tuple_A_in_2(v6) = v7) | ? [v8] : ( ~ (v8 = 0) & pred_attacker(v7) = v8)) & ! [v6] : ! [v7] : ( ~ (name_new0x2Dname(v6) = v7) | pred_attacker(v7) = 0) & ! [v6] : ! [v7] : ( ~ (pred_mess(v7, v6) = 0) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_in_2(v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (tuple_A_out_3(v9) = v10 & pred_attacker(v10) = v11 & pred_attacker(v7) = v8 & constr_comm_dec(v6, name_Ka) = v9 & ( ~ (v8 = 0) | v11 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_in_2(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_in_2(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_out_1(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_out_1(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_out_3(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_out_3(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_out_4(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_A_out_4(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_B_in_1(v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (tuple_B_out_2(v9) = v10 & pred_attacker(v10) = v11 & pred_attacker(v7) = v8 & constr_comm_enc(v6, name_Kb) = v9 & ( ~ (v8 = 0) | v11 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_B_in_1(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_B_in_1(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_B_in_3(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_B_in_3(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_B_out_2(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (tuple_B_out_2(v6) = v7) | ? [v8] : ? [v9] : (pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0))) & ! [v6] : ! [v7] : ( ~ (constr_comm_enc(v6, name_Kb) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (tuple_B_in_1(v6) = v8 & tuple_B_out_2(v7) = v10 & pred_attacker(v10) = v11 & pred_attacker(v8) = v9 & ( ~ (v9 = 0) | v11 = 0))) & ! [v6] : ! [v7] : ( ~ (constr_comm_dec(v6, name_Ka) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (tuple_A_in_2(v6) = v8 & tuple_A_out_3(v7) = v10 & pred_attacker(v10) = v11 & pred_attacker(v8) = v9 & ( ~ (v9 = 0) | v11 = 0))) & ! [v6] : ( ~ (pred_attacker(v6) = 0) | ? [v7] : (tuple_A_in_2(v6) = v7 & pred_attacker(v7) = 0)) & ! [v6] : ( ~ (pred_attacker(v6) = 0) | ? [v7] : (tuple_A_out_1(v6) = v7 & pred_attacker(v7) = 0)) & ! [v6] : ( ~ (pred_attacker(v6) = 0) | ? [v7] : (tuple_A_out_3(v6) = v7 & pred_attacker(v7) = 0)) & ! [v6] : ( ~ (pred_attacker(v6) = 0) | ? [v7] : (tuple_A_out_4(v6) = v7 & pred_attacker(v7) = 0)) & ! [v6] : ( ~ (pred_attacker(v6) = 0) | ? [v7] : (tuple_B_in_1(v6) = v7 & pred_attacker(v7) = 0)) & ! [v6] : ( ~ (pred_attacker(v6) = 0) | ? [v7] : (tuple_B_in_3(v6) = v7 & pred_attacker(v7) = 0)) & ! [v6] : ( ~ (pred_attacker(v6) = 0) | ? [v7] : (tuple_B_out_2(v6) = v7 & pred_attacker(v7) = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (tuple_A_in_2(v6) = v7 & tuple_A_out_3(v9) = v10 & pred_attacker(v10) = v11 & pred_attacker(v7) = v8 & constr_comm_dec(v6, name_Ka) = v9 & ( ~ (v8 = 0) | v11 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (tuple_B_in_1(v6) = v7 & tuple_B_out_2(v9) = v10 & pred_attacker(v10) = v11 & pred_attacker(v7) = v8 & constr_comm_enc(v6, name_Kb) = v9 & ( ~ (v8 = 0) | v11 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (pred_attacker(v10) = v11 & pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & constr_comm_enc(v6, v7) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v11 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (pred_attacker(v10) = v11 & pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & constr_comm_dec(v6, v7) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v11 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (pred_attacker(v10) = v11 & pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & constr_enc(v6, v7) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v11 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (pred_attacker(v10) = v11 & pred_attacker(v7) = v9 & pred_attacker(v6) = v8 & constr_dec(v6, v7) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v11 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (pred_mess(v7, v6) = v10 & pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : (tuple_A_out_1(v6) = v7 & pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : (tuple_A_out_3(v6) = v7 & pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : (tuple_A_out_4(v6) = v7 & pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : (tuple_B_in_3(v6) = v7 & pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0)) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : (tuple_B_out_2(v6) = v7 & pred_attacker(v7) = v8 & pred_attacker(v6) = v9 & ( ~ (v8 = 0) | v9 = 0)) & ? [v6] : ? [v7] : (name_new0x2Dname(v6) = v7 & pred_attacker(v7) = 0) & ? [v6] : pred_equal(v6, v6) = 0)
% 175.30/131.27 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields:
% 175.30/131.27 | (1) ~ (all_0_5_5 = 0) & ~ (name_objective = name_m_9) & ~ (name_objective = name_c) & ~ (name_objective = name_Kb) & ~ (name_objective = name_Ka) & ~ (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_m_9 = name_c) & ~ (name_m_9 = name_Kb) & ~ (name_m_9 = name_Ka) & ~ (name_m_9 = constr_CONST_4) & ~ (name_m_9 = constr_CONST_3) & ~ (name_m_9 = constr_CONST_2) & ~ (name_m_9 = constr_CONST_0x30) & ~ (name_m_9 = constr_CONST_1) & ~ (name_c = name_Kb) & ~ (name_c = name_Ka) & ~ (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_Kb = name_Ka) & ~ (name_Kb = constr_CONST_4) & ~ (name_Kb = constr_CONST_3) & ~ (name_Kb = constr_CONST_2) & ~ (name_Kb = constr_CONST_0x30) & ~ (name_Kb = constr_CONST_1) & ~ (name_Ka = constr_CONST_4) & ~ (name_Ka = constr_CONST_3) & ~ (name_Ka = constr_CONST_2) & ~ (name_Ka = constr_CONST_0x30) & ~ (name_Ka = 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(all_0_1_1) = all_0_0_0 & tuple_A_out_4(all_0_4_4) = all_0_3_3 & pred_attacker(all_0_0_0) = 0 & pred_attacker(all_0_3_3) = all_0_2_2 & pred_attacker(tuple_false) = 0 & pred_attacker(tuple_true) = 0 & pred_attacker(name_objective) = all_0_5_5 & 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_comm_enc(name_m_9, name_Ka) = all_0_1_1 & constr_enc(name_objective, name_m_9) = all_0_4_4 & ! [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 | ~ (constr_comm_enc(v3, v2) = v1) | ~ (constr_comm_enc(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_comm_dec(v3, v2) = v1) | ~ (constr_comm_dec(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_2(v2) = v1) | ~ (tuple_A_in_2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_1(v2) = v1) | ~ (tuple_A_out_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_3(v2) = v1) | ~ (tuple_A_out_3(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_1(v2) = v1) | ~ (tuple_B_in_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_in_3(v2) = v1) | ~ (tuple_B_in_3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_out_2(v2) = v1) | ~ (tuple_B_out_2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred_attacker(v2) = v1) | ~ (pred_attacker(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_comm_enc(v1, v0) = v2) | constr_comm_dec(v2, v0) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_comm_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_comm_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] : ! [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_2(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_1(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_3(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_1(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_in_3(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_out_2(v0) = v2 & pred_attacker(v2) = v3)) & ! [v0] : ! [v1] : (all_0_2_2 = 0 | ~ (tuple_A_in_2(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & pred_attacker(v1) = v2)) & ! [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_2(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_out_3(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v1) = v2 & constr_comm_dec(v0, name_Ka) = v3 & ( ~ (v2 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_in_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_in_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_out_1(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_out_1(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_out_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_A_out_3(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_1(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_B_out_2(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v1) = v2 & constr_comm_enc(v0, name_Kb) = v3 & ( ~ (v2 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_in_1(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_in_1(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_in_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_in_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_out_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (tuple_B_out_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (constr_comm_enc(v0, name_Kb) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_B_in_1(v0) = v2 & tuple_B_out_2(v1) = v4 & pred_attacker(v4) = v5 & pred_attacker(v2) = v3 & ( ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ( ~ (constr_comm_dec(v0, name_Ka) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_in_2(v0) = v2 & tuple_A_out_3(v1) = v4 & pred_attacker(v4) = v5 & pred_attacker(v2) = v3 & ( ~ (v3 = 0) | v5 = 0))) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_in_2(v0) = v1 & pred_attacker(v1) = 0)) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_1(v0) = v1 & pred_attacker(v1) = 0)) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_3(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_1(v0) = v1 & pred_attacker(v1) = 0)) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_in_3(v0) = v1 & pred_attacker(v1) = 0)) & ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_out_2(v0) = v1 & pred_attacker(v1) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_in_2(v0) = v1 & tuple_A_out_3(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v1) = v2 & constr_comm_dec(v0, name_Ka) = v3 & ( ~ (v2 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_B_in_1(v0) = v1 & tuple_B_out_2(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v1) = v2 & constr_comm_enc(v0, name_Kb) = v3 & ( ~ (v2 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_comm_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_comm_dec(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] : (tuple_A_out_1(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_3(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_in_3(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_B_out_2(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
% 175.30/131.28 |
% 175.30/131.28 | Applying alpha-rule on (1) yields:
% 175.30/131.29 | (2) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_in_2(v0) = v1 & pred_attacker(v1) = 0))
% 175.30/131.29 | (3) ~ (name_m_9 = constr_CONST_3)
% 175.30/131.29 | (4) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_1(v0) = v2 & pred_attacker(v2) = v3))
% 175.30/131.29 | (5) ~ (name_m_9 = constr_CONST_0x30)
% 175.30/131.29 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_enc(v3, v2) = v1) | ~ (constr_enc(v3, v2) = v0))
% 175.30/131.29 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_comm_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)))
% 175.69/131.29 | (8) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_comm_enc(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))
% 175.69/131.29 | (9) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_3(v0) = v2 & pred_attacker(v2) = v3))
% 175.69/131.29 | (10) ~ (name_m_9 = constr_CONST_4)
% 175.69/131.29 | (11) pred_attacker(all_0_3_3) = all_0_2_2
% 175.69/131.29 | (12) ~ (name_c = constr_CONST_3)
% 175.69/131.29 | (13) ! [v0] : ! [v1] : ( ~ (tuple_B_in_1(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.29 | (14) ! [v0] : ! [v1] : ( ~ (tuple_A_out_1(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.29 | (15) ? [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))
% 175.69/131.29 | (16) ! [v0] : ! [v1] : ( ~ (tuple_A_out_4(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.29 | (17) ~ (name_Kb = constr_CONST_1)
% 175.69/131.29 | (18) ~ (name_objective = name_c)
% 175.69/131.29 | (19) ! [v0] : ! [v1] : ( ~ (tuple_A_in_2(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_out_3(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v1) = v2 & constr_comm_dec(v0, name_Ka) = v3 & ( ~ (v2 = 0) | v5 = 0)))
% 175.69/131.29 | (20) ~ (constr_CONST_3 = constr_CONST_2)
% 175.69/131.29 | (21) ~ (name_m_9 = constr_CONST_1)
% 175.69/131.29 | (22) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_in_1(v0) = v1 & pred_attacker(v1) = 0))
% 175.69/131.29 | (23) ? [v0] : ? [v1] : (name_new0x2Dname(v0) = v1 & pred_attacker(v1) = 0)
% 175.69/131.29 | (24) ~ (name_Kb = constr_CONST_3)
% 175.69/131.29 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_comm_dec(v3, v2) = v1) | ~ (constr_comm_dec(v3, v2) = v0))
% 175.69/131.29 | (26) ~ (name_m_9 = constr_CONST_2)
% 175.69/131.29 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_enc(v1, v0) = v2) | constr_dec(v2, v0) = v1)
% 175.69/131.29 | (28) ! [v0] : ! [v1] : ( ~ (pred_mess(v1, v0) = 0) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.29 | (29) pred_attacker(constr_CONST_3) = 0
% 175.69/131.29 | (30) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (pred_attacker(v4) = v5 & pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & constr_comm_dec(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))
% 175.69/131.29 | (31) ! [v0] : ! [v1] : ( ~ (tuple_B_in_1(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_B_out_2(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v1) = v2 & constr_comm_enc(v0, name_Kb) = v3 & ( ~ (v2 = 0) | v5 = 0)))
% 175.69/131.29 | (32) ~ (name_Ka = constr_CONST_1)
% 175.69/131.29 | (33) ~ (constr_CONST_4 = constr_CONST_1)
% 175.69/131.29 | (34) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_B_out_2(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))
% 175.69/131.29 | (35) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_out_2(v0) = v2 & pred_attacker(v2) = v3))
% 175.69/131.29 | (36) ~ (name_objective = constr_CONST_2)
% 175.69/131.29 | (37) ~ (name_c = constr_CONST_4)
% 175.69/131.29 | (38) ~ (name_c = constr_CONST_1)
% 175.69/131.29 | (39) ~ (all_0_5_5 = 0)
% 175.69/131.29 | (40) ~ (name_objective = constr_CONST_0x30)
% 175.69/131.29 | (41) pred_attacker(all_0_0_0) = 0
% 175.69/131.29 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_1(v2) = v1) | ~ (tuple_A_out_1(v2) = v0))
% 175.69/131.29 | (43) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_in_2(v0) = v1 & tuple_A_out_3(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v1) = v2 & constr_comm_dec(v0, name_Ka) = v3 & ( ~ (v2 = 0) | v5 = 0))
% 175.69/131.29 | (44) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_B_in_3(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))
% 175.69/131.29 | (45) ! [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)))
% 175.69/131.30 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (pred_mess(v3, v2) = v1) | ~ (pred_mess(v3, v2) = v0))
% 175.69/131.30 | (47) pred_attacker(constr_CONST_0x30) = 0
% 175.69/131.30 | (48) pred_attacker(name_c) = 0
% 175.69/131.30 | (49) ~ (name_Kb = name_Ka)
% 175.69/131.30 | (50) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_3(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))
% 175.69/131.30 | (51) ~ (name_Ka = constr_CONST_4)
% 175.69/131.30 | (52) ~ (name_m_9 = name_c)
% 175.69/131.30 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_dec(v3, v2) = v1) | ~ (constr_dec(v3, v2) = v0))
% 175.69/131.30 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred_attacker(v2) = v1) | ~ (pred_attacker(v2) = v0))
% 175.69/131.30 | (55) ? [v0] : pred_equal(v0, v0) = 0
% 175.69/131.30 | (56) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_out_2(v0) = v1 & pred_attacker(v1) = 0))
% 175.69/131.30 | (57) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_3(v0) = v1 & pred_attacker(v1) = 0))
% 175.69/131.30 | (58) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_4(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))
% 175.69/131.30 | (59) ~ (name_objective = name_m_9)
% 175.69/131.30 | (60) ! [v0] : ! [v1] : ( ~ (name_new0x2Dname(v0) = v1) | pred_attacker(v1) = 0)
% 175.69/131.30 | (61) pred_attacker(constr_CONST_2) = 0
% 175.69/131.30 | (62) ~ (constr_CONST_4 = constr_CONST_3)
% 175.69/131.30 | (63) ! [v0] : ! [v1] : ( ~ (tuple_A_out_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.30 | (64) ~ (name_objective = name_Kb)
% 175.69/131.30 | (65) ! [v0] : ! [v1] : ( ~ (tuple_B_in_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.30 | (66) pred_attacker(constr_CONST_4) = 0
% 175.69/131.30 | (67) ~ (name_Kb = constr_CONST_2)
% 175.69/131.30 | (68) ? [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))
% 175.69/131.30 | (69) ! [v0] : ! [v1] : ( ~ (tuple_A_out_4(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.30 | (70) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_B_in_3(v0) = v1 & pred_attacker(v1) = 0))
% 175.69/131.30 | (71) ~ (name_Kb = constr_CONST_4)
% 175.69/131.30 | (72) ~ (name_c = constr_CONST_2)
% 175.69/131.30 | (73) ~ (constr_CONST_2 = constr_CONST_1)
% 175.69/131.30 | (74) ~ (constr_CONST_0x30 = constr_CONST_1)
% 175.69/131.30 | (75) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_B_in_1(v0) = v1 & tuple_B_out_2(v3) = v4 & pred_attacker(v4) = v5 & pred_attacker(v1) = v2 & constr_comm_enc(v0, name_Kb) = v3 & ( ~ (v2 = 0) | v5 = 0))
% 175.69/131.30 | (76) ~ (constr_CONST_4 = constr_CONST_2)
% 175.69/131.30 | (77) ~ (name_objective = constr_CONST_4)
% 175.69/131.30 | (78) pred_attacker(tuple_true) = 0
% 175.69/131.30 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (constr_comm_enc(v3, v2) = v1) | ~ (constr_comm_enc(v3, v2) = v0))
% 175.69/131.30 | (80) ! [v0] : ! [v1] : ( ~ (tuple_B_out_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.30 | (81) ! [v0] : ! [v1] : ( ~ (tuple_A_in_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.30 | (82) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_1(v0) = v1 & pred_attacker(v1) = 0))
% 175.69/131.30 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_in_1(v2) = v1) | ~ (tuple_B_in_1(v2) = v0))
% 175.69/131.30 | (84) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_1(v0) = v1 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))
% 175.69/131.30 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_comm_enc(v1, v0) = v2) | constr_comm_dec(v2, v0) = v1)
% 175.69/131.30 | (86) ~ (name_Ka = constr_CONST_0x30)
% 175.69/131.30 | (87) ~ (name_objective = name_Ka)
% 175.69/131.30 | (88) tuple_A_out_4(all_0_4_4) = all_0_3_3
% 175.69/131.30 | (89) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_in_2(v0) = v2 & pred_attacker(v2) = v3))
% 175.69/131.30 | (90) ! [v0] : ! [v1] : (all_0_2_2 = 0 | ~ (tuple_A_in_2(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & pred_attacker(v1) = v2))
% 175.69/131.30 | (91) ~ (name_Ka = constr_CONST_3)
% 175.69/131.30 | (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))))
% 175.69/131.30 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_out_2(v2) = v1) | ~ (tuple_B_out_2(v2) = v0))
% 175.69/131.31 | (94) ! [v0] : ! [v1] : ( ~ (tuple_A_out_1(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.31 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (pred_equal(v3, v2) = v1) | ~ (pred_equal(v3, v2) = v0))
% 175.69/131.31 | (96) ! [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)))
% 175.69/131.31 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_4(v2) = v1) | ~ (tuple_A_out_4(v2) = v0))
% 175.69/131.31 | (98) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_in_1(v0) = v2 & pred_attacker(v2) = v3))
% 175.69/131.31 | (99) tuple_A_out_1(all_0_1_1) = all_0_0_0
% 175.69/131.31 | (100) ~ (constr_CONST_4 = constr_CONST_0x30)
% 175.69/131.31 | (101) ~ (name_Ka = constr_CONST_2)
% 175.69/131.31 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_in_2(v2) = v1) | ~ (tuple_A_in_2(v2) = v0))
% 175.69/131.31 | (103) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_equal(v0, v0) = v1))
% 175.69/131.31 | (104) pred_attacker(constr_CONST_1) = 0
% 175.69/131.31 | (105) ! [v0] : ! [v1] : ( ~ (constr_comm_enc(v0, name_Kb) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_B_in_1(v0) = v2 & tuple_B_out_2(v1) = v4 & pred_attacker(v4) = v5 & pred_attacker(v2) = v3 & ( ~ (v3 = 0) | v5 = 0)))
% 175.69/131.31 | (106) ~ (name_objective = constr_CONST_1)
% 175.69/131.31 | (107) ~ (name_c = name_Ka)
% 175.69/131.31 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (name_new0x2Dname(v2) = v1) | ~ (name_new0x2Dname(v2) = v0))
% 175.69/131.31 | (109) ~ (name_c = name_Kb)
% 175.69/131.31 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_A_out_3(v2) = v1) | ~ (tuple_A_out_3(v2) = v0))
% 175.69/131.31 | (111) constr_enc(name_objective, name_m_9) = all_0_4_4
% 175.69/131.31 | (112) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_B_in_3(v0) = v2 & pred_attacker(v2) = v3))
% 175.69/131.31 | (113) pred_attacker(name_objective) = all_0_5_5
% 175.69/131.31 | (114) ! [v0] : ( ~ (pred_attacker(v0) = 0) | ? [v1] : (tuple_A_out_4(v0) = v1 & pred_attacker(v1) = 0))
% 175.69/131.31 | (115) ~ (constr_CONST_2 = constr_CONST_0x30)
% 175.69/131.31 | (116) ! [v0] : ! [v1] : ( ~ (tuple_A_in_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.31 | (117) ~ (name_Kb = constr_CONST_0x30)
% 175.69/131.31 | (118) ~ (name_m_9 = name_Kb)
% 175.69/131.31 | (119) ~ (name_m_9 = name_Ka)
% 175.69/131.31 | (120) ! [v0] : ! [v1] : ! [v2] : ( ~ (constr_comm_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)))
% 175.69/131.31 | (121) ! [v0] : ! [v1] : ( ~ (tuple_B_in_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.31 | (122) ! [v0] : ! [v1] : (v1 = 0 | ~ (pred_attacker(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & tuple_A_out_4(v0) = v2 & pred_attacker(v2) = v3))
% 175.69/131.31 | (123) constr_comm_enc(name_m_9, name_Ka) = all_0_1_1
% 175.69/131.31 | (124) ~ (constr_CONST_3 = constr_CONST_0x30)
% 175.69/131.31 | (125) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (pred_mess(v1, v0) = v4 & pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))
% 175.69/131.31 | (126) pred_attacker(tuple_false) = 0
% 175.69/131.31 | (127) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tuple_B_in_3(v2) = v1) | ~ (tuple_B_in_3(v2) = v0))
% 175.69/131.31 | (128) ~ (name_c = constr_CONST_0x30)
% 175.69/131.31 | (129) ~ (name_objective = constr_CONST_3)
% 175.69/131.31 | (130) ! [v0] : ! [v1] : ( ~ (constr_comm_dec(v0, name_Ka) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (tuple_A_in_2(v0) = v2 & tuple_A_out_3(v1) = v4 & pred_attacker(v4) = v5 & pred_attacker(v2) = v3 & ( ~ (v3 = 0) | v5 = 0)))
% 175.69/131.31 | (131) ! [v0] : ! [v1] : ( ~ (tuple_B_out_2(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v2 & pred_attacker(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.31 | (132) ! [v0] : ! [v1] : ( ~ (tuple_A_out_3(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.31 | (133) ! [v0] : ! [v1] : ( ~ (tuple_B_in_1(v0) = v1) | ? [v2] : ? [v3] : (pred_attacker(v1) = v3 & pred_attacker(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 175.69/131.31 | (134) ~ (constr_CONST_3 = constr_CONST_1)
% 175.69/131.31 |
% 175.82/131.32 | Instantiating formula (94) with all_0_0_0, all_0_1_1 and discharging atoms tuple_A_out_1(all_0_1_1) = all_0_0_0, yields:
% 175.82/131.32 | (135) ? [v0] : ? [v1] : (pred_attacker(all_0_0_0) = v1 & pred_attacker(all_0_1_1) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (14) with all_0_0_0, all_0_1_1 and discharging atoms tuple_A_out_1(all_0_1_1) = all_0_0_0, yields:
% 175.82/131.32 | (136) ? [v0] : ? [v1] : (pred_attacker(all_0_0_0) = v0 & pred_attacker(all_0_1_1) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (69) with all_0_3_3, all_0_4_4 and discharging atoms tuple_A_out_4(all_0_4_4) = all_0_3_3, yields:
% 175.82/131.32 | (137) ? [v0] : ? [v1] : (pred_attacker(all_0_3_3) = v1 & pred_attacker(all_0_4_4) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (16) with all_0_3_3, all_0_4_4 and discharging atoms tuple_A_out_4(all_0_4_4) = all_0_3_3, yields:
% 175.82/131.32 | (138) ? [v0] : ? [v1] : (pred_attacker(all_0_3_3) = v0 & pred_attacker(all_0_4_4) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (2) with tuple_false and discharging atoms pred_attacker(tuple_false) = 0, yields:
% 175.82/131.32 | (139) ? [v0] : (tuple_A_in_2(tuple_false) = v0 & pred_attacker(v0) = 0)
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (89) with all_0_5_5, name_objective and discharging atoms pred_attacker(name_objective) = all_0_5_5, yields:
% 175.82/131.32 | (140) all_0_5_5 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_in_2(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (4) with all_0_5_5, name_objective and discharging atoms pred_attacker(name_objective) = all_0_5_5, yields:
% 175.82/131.32 | (141) all_0_5_5 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_1(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (9) with all_0_5_5, name_objective and discharging atoms pred_attacker(name_objective) = all_0_5_5, yields:
% 175.82/131.32 | (142) all_0_5_5 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_3(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (122) with all_0_5_5, name_objective and discharging atoms pred_attacker(name_objective) = all_0_5_5, yields:
% 175.82/131.32 | (143) all_0_5_5 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_4(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (98) with all_0_5_5, name_objective and discharging atoms pred_attacker(name_objective) = all_0_5_5, yields:
% 175.82/131.32 | (144) all_0_5_5 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_in_1(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (112) with all_0_5_5, name_objective and discharging atoms pred_attacker(name_objective) = all_0_5_5, yields:
% 175.82/131.32 | (145) all_0_5_5 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_in_3(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (35) with all_0_5_5, name_objective and discharging atoms pred_attacker(name_objective) = all_0_5_5, yields:
% 175.82/131.32 | (146) all_0_5_5 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_out_2(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (85) with all_0_1_1, name_m_9, name_Ka and discharging atoms constr_comm_enc(name_m_9, name_Ka) = all_0_1_1, yields:
% 175.82/131.32 | (147) constr_comm_dec(all_0_1_1, name_Ka) = name_m_9
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (7) with all_0_1_1, name_Ka, name_m_9 and discharging atoms constr_comm_enc(name_m_9, name_Ka) = all_0_1_1, yields:
% 175.82/131.32 | (148) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_0_1_1) = v2 & pred_attacker(name_m_9) = v0 & pred_attacker(name_Ka) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (27) with all_0_4_4, name_objective, name_m_9 and discharging atoms constr_enc(name_objective, name_m_9) = all_0_4_4, yields:
% 175.82/131.32 | (149) constr_dec(all_0_4_4, name_m_9) = name_objective
% 175.82/131.32 |
% 175.82/131.32 | Instantiating formula (45) with all_0_4_4, name_m_9, name_objective and discharging atoms constr_enc(name_objective, name_m_9) = all_0_4_4, yields:
% 175.82/131.32 | (150) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_0_4_4) = v2 & pred_attacker(name_objective) = v0 & pred_attacker(name_m_9) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 175.82/131.32 |
% 175.82/131.32 | Instantiating (150) with all_137_0_129, all_137_1_130, all_137_2_131 yields:
% 175.82/131.32 | (151) pred_attacker(all_0_4_4) = all_137_0_129 & pred_attacker(name_objective) = all_137_2_131 & pred_attacker(name_m_9) = all_137_1_130 & ( ~ (all_137_1_130 = 0) | ~ (all_137_2_131 = 0) | all_137_0_129 = 0)
% 175.82/131.32 |
% 175.82/131.32 | Applying alpha-rule on (151) yields:
% 175.82/131.32 | (152) pred_attacker(all_0_4_4) = all_137_0_129
% 175.82/131.32 | (153) pred_attacker(name_objective) = all_137_2_131
% 175.82/131.32 | (154) pred_attacker(name_m_9) = all_137_1_130
% 175.82/131.32 | (155) ~ (all_137_1_130 = 0) | ~ (all_137_2_131 = 0) | all_137_0_129 = 0
% 175.82/131.32 |
% 175.82/131.32 | Instantiating (137) with all_155_0_155, all_155_1_156 yields:
% 175.82/131.32 | (156) pred_attacker(all_0_3_3) = all_155_0_155 & pred_attacker(all_0_4_4) = all_155_1_156 & ( ~ (all_155_1_156 = 0) | all_155_0_155 = 0)
% 175.82/131.32 |
% 175.82/131.32 | Applying alpha-rule on (156) yields:
% 175.82/131.32 | (157) pred_attacker(all_0_3_3) = all_155_0_155
% 175.82/131.32 | (158) pred_attacker(all_0_4_4) = all_155_1_156
% 175.82/131.32 | (159) ~ (all_155_1_156 = 0) | all_155_0_155 = 0
% 175.82/131.32 |
% 175.82/131.32 | Instantiating (135) with all_167_0_165, all_167_1_166 yields:
% 175.82/131.32 | (160) pred_attacker(all_0_0_0) = all_167_0_165 & pred_attacker(all_0_1_1) = all_167_1_166 & ( ~ (all_167_1_166 = 0) | all_167_0_165 = 0)
% 175.82/131.32 |
% 175.82/131.32 | Applying alpha-rule on (160) yields:
% 175.82/131.32 | (161) pred_attacker(all_0_0_0) = all_167_0_165
% 175.82/131.32 | (162) pred_attacker(all_0_1_1) = all_167_1_166
% 175.82/131.32 | (163) ~ (all_167_1_166 = 0) | all_167_0_165 = 0
% 175.82/131.32 |
% 175.82/131.32 | Instantiating (138) with all_185_0_179, all_185_1_180 yields:
% 175.82/131.32 | (164) pred_attacker(all_0_3_3) = all_185_1_180 & pred_attacker(all_0_4_4) = all_185_0_179 & ( ~ (all_185_1_180 = 0) | all_185_0_179 = 0)
% 175.82/131.32 |
% 175.82/131.32 | Applying alpha-rule on (164) yields:
% 175.82/131.32 | (165) pred_attacker(all_0_3_3) = all_185_1_180
% 175.82/131.32 | (166) pred_attacker(all_0_4_4) = all_185_0_179
% 175.82/131.32 | (167) ~ (all_185_1_180 = 0) | all_185_0_179 = 0
% 175.82/131.32 |
% 175.82/131.32 | Instantiating (136) with all_195_0_191, all_195_1_192 yields:
% 175.82/131.32 | (168) pred_attacker(all_0_0_0) = all_195_1_192 & pred_attacker(all_0_1_1) = all_195_0_191 & ( ~ (all_195_1_192 = 0) | all_195_0_191 = 0)
% 175.82/131.32 |
% 175.82/131.32 | Applying alpha-rule on (168) yields:
% 175.82/131.32 | (169) pred_attacker(all_0_0_0) = all_195_1_192
% 175.82/131.33 | (170) pred_attacker(all_0_1_1) = all_195_0_191
% 175.82/131.33 | (171) ~ (all_195_1_192 = 0) | all_195_0_191 = 0
% 175.82/131.33 |
% 175.82/131.33 | Instantiating (139) with all_233_0_216 yields:
% 175.82/131.33 | (172) tuple_A_in_2(tuple_false) = all_233_0_216 & pred_attacker(all_233_0_216) = 0
% 175.82/131.33 |
% 175.82/131.33 | Applying alpha-rule on (172) yields:
% 175.82/131.33 | (173) tuple_A_in_2(tuple_false) = all_233_0_216
% 175.82/131.33 | (174) pred_attacker(all_233_0_216) = 0
% 175.82/131.33 |
% 175.82/131.33 | Instantiating (148) with all_235_0_217, all_235_1_218, all_235_2_219 yields:
% 175.82/131.33 | (175) pred_attacker(all_0_1_1) = all_235_0_217 & pred_attacker(name_m_9) = all_235_2_219 & pred_attacker(name_Ka) = all_235_1_218 & ( ~ (all_235_1_218 = 0) | ~ (all_235_2_219 = 0) | all_235_0_217 = 0)
% 175.88/131.33 |
% 175.88/131.33 | Applying alpha-rule on (175) yields:
% 175.88/131.33 | (176) pred_attacker(all_0_1_1) = all_235_0_217
% 175.88/131.33 | (177) pred_attacker(name_m_9) = all_235_2_219
% 175.88/131.33 | (178) pred_attacker(name_Ka) = all_235_1_218
% 175.88/131.33 | (179) ~ (all_235_1_218 = 0) | ~ (all_235_2_219 = 0) | all_235_0_217 = 0
% 175.88/131.33 |
% 175.88/131.33 +-Applying beta-rule and splitting (141), into two cases.
% 175.88/131.33 |-Branch one:
% 175.88/131.33 | (180) all_0_5_5 = 0
% 175.88/131.33 |
% 175.88/131.33 | Equations (180) can reduce 39 to:
% 175.88/131.33 | (181) $false
% 175.88/131.33 |
% 175.88/131.33 |-The branch is then unsatisfiable
% 175.88/131.33 |-Branch two:
% 175.88/131.33 | (39) ~ (all_0_5_5 = 0)
% 175.88/131.33 | (183) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_1(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.88/131.33 |
% 175.88/131.33 +-Applying beta-rule and splitting (142), into two cases.
% 175.88/131.33 |-Branch one:
% 175.88/131.33 | (180) all_0_5_5 = 0
% 175.88/131.33 |
% 175.88/131.33 | Equations (180) can reduce 39 to:
% 175.88/131.33 | (181) $false
% 175.88/131.33 |
% 175.88/131.33 |-The branch is then unsatisfiable
% 175.88/131.33 |-Branch two:
% 175.88/131.33 | (39) ~ (all_0_5_5 = 0)
% 175.88/131.33 | (187) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_3(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.88/131.33 |
% 175.88/131.33 +-Applying beta-rule and splitting (143), into two cases.
% 175.88/131.33 |-Branch one:
% 175.88/131.33 | (180) all_0_5_5 = 0
% 175.88/131.33 |
% 175.88/131.33 | Equations (180) can reduce 39 to:
% 175.88/131.33 | (181) $false
% 175.88/131.33 |
% 175.88/131.33 |-The branch is then unsatisfiable
% 175.88/131.33 |-Branch two:
% 175.88/131.33 | (39) ~ (all_0_5_5 = 0)
% 175.88/131.33 | (191) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_4(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.88/131.33 |
% 175.88/131.33 +-Applying beta-rule and splitting (144), into two cases.
% 175.88/131.33 |-Branch one:
% 175.88/131.33 | (180) all_0_5_5 = 0
% 175.88/131.33 |
% 175.88/131.33 | Equations (180) can reduce 39 to:
% 175.88/131.33 | (181) $false
% 175.88/131.33 |
% 175.88/131.33 |-The branch is then unsatisfiable
% 175.88/131.33 |-Branch two:
% 175.88/131.33 | (39) ~ (all_0_5_5 = 0)
% 175.88/131.33 | (195) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_in_1(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.88/131.33 |
% 175.88/131.33 +-Applying beta-rule and splitting (140), into two cases.
% 175.88/131.33 |-Branch one:
% 175.88/131.33 | (180) all_0_5_5 = 0
% 175.88/131.33 |
% 175.88/131.33 | Equations (180) can reduce 39 to:
% 175.88/131.33 | (181) $false
% 175.88/131.33 |
% 175.88/131.33 |-The branch is then unsatisfiable
% 175.88/131.33 |-Branch two:
% 175.88/131.33 | (39) ~ (all_0_5_5 = 0)
% 175.88/131.33 | (199) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_in_2(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.88/131.33 |
% 175.88/131.33 +-Applying beta-rule and splitting (145), into two cases.
% 175.88/131.33 |-Branch one:
% 175.88/131.33 | (180) all_0_5_5 = 0
% 175.88/131.33 |
% 175.88/131.33 | Equations (180) can reduce 39 to:
% 175.88/131.33 | (181) $false
% 175.88/131.33 |
% 175.88/131.33 |-The branch is then unsatisfiable
% 175.88/131.33 |-Branch two:
% 175.88/131.33 | (39) ~ (all_0_5_5 = 0)
% 175.88/131.33 | (203) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_in_3(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.88/131.33 |
% 175.88/131.33 +-Applying beta-rule and splitting (146), into two cases.
% 175.88/131.33 |-Branch one:
% 175.88/131.33 | (180) all_0_5_5 = 0
% 175.88/131.33 |
% 175.88/131.33 | Equations (180) can reduce 39 to:
% 175.88/131.33 | (181) $false
% 175.88/131.33 |
% 175.88/131.33 |-The branch is then unsatisfiable
% 175.88/131.33 |-Branch two:
% 175.88/131.33 | (39) ~ (all_0_5_5 = 0)
% 175.88/131.33 | (207) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_B_out_2(name_objective) = v0 & pred_attacker(v0) = v1)
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with all_0_0_0, all_195_1_192, 0 and discharging atoms pred_attacker(all_0_0_0) = all_195_1_192, pred_attacker(all_0_0_0) = 0, yields:
% 175.88/131.33 | (208) all_195_1_192 = 0
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with all_0_0_0, all_167_0_165, all_195_1_192 and discharging atoms pred_attacker(all_0_0_0) = all_195_1_192, pred_attacker(all_0_0_0) = all_167_0_165, yields:
% 175.88/131.33 | (209) all_195_1_192 = all_167_0_165
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with all_0_1_1, all_195_0_191, all_235_0_217 and discharging atoms pred_attacker(all_0_1_1) = all_235_0_217, pred_attacker(all_0_1_1) = all_195_0_191, yields:
% 175.88/131.33 | (210) all_235_0_217 = all_195_0_191
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with all_0_1_1, all_167_1_166, all_235_0_217 and discharging atoms pred_attacker(all_0_1_1) = all_235_0_217, pred_attacker(all_0_1_1) = all_167_1_166, yields:
% 175.88/131.33 | (211) all_235_0_217 = all_167_1_166
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with all_0_3_3, all_185_1_180, all_0_2_2 and discharging atoms pred_attacker(all_0_3_3) = all_185_1_180, pred_attacker(all_0_3_3) = all_0_2_2, yields:
% 175.88/131.33 | (212) all_185_1_180 = all_0_2_2
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with all_0_3_3, all_155_0_155, all_185_1_180 and discharging atoms pred_attacker(all_0_3_3) = all_185_1_180, pred_attacker(all_0_3_3) = all_155_0_155, yields:
% 175.88/131.33 | (213) all_185_1_180 = all_155_0_155
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with all_0_4_4, all_155_1_156, all_185_0_179 and discharging atoms pred_attacker(all_0_4_4) = all_185_0_179, pred_attacker(all_0_4_4) = all_155_1_156, yields:
% 175.88/131.33 | (214) all_185_0_179 = all_155_1_156
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with all_0_4_4, all_137_0_129, all_185_0_179 and discharging atoms pred_attacker(all_0_4_4) = all_185_0_179, pred_attacker(all_0_4_4) = all_137_0_129, yields:
% 175.88/131.33 | (215) all_185_0_179 = all_137_0_129
% 175.88/131.33 |
% 175.88/131.33 | Instantiating formula (54) with name_objective, all_137_2_131, all_0_5_5 and discharging atoms pred_attacker(name_objective) = all_137_2_131, pred_attacker(name_objective) = all_0_5_5, yields:
% 175.88/131.33 | (216) all_137_2_131 = all_0_5_5
% 175.88/131.33 |
% 175.88/131.34 | Combining equations (211,210) yields a new equation:
% 175.88/131.34 | (217) all_195_0_191 = all_167_1_166
% 175.88/131.34 |
% 175.88/131.34 | Combining equations (208,209) yields a new equation:
% 175.88/131.34 | (218) all_167_0_165 = 0
% 175.88/131.34 |
% 175.88/131.34 | Combining equations (215,214) yields a new equation:
% 175.88/131.34 | (219) all_155_1_156 = all_137_0_129
% 175.88/131.34 |
% 175.88/131.34 | Combining equations (212,213) yields a new equation:
% 175.88/131.34 | (220) all_155_0_155 = all_0_2_2
% 175.88/131.34 |
% 175.88/131.34 | Combining equations (220,213) yields a new equation:
% 175.88/131.34 | (212) all_185_1_180 = all_0_2_2
% 175.88/131.34 |
% 175.88/131.34 | Combining equations (219,214) yields a new equation:
% 175.88/131.34 | (215) all_185_0_179 = all_137_0_129
% 175.88/131.34 |
% 175.88/131.34 | Combining equations (218,209) yields a new equation:
% 175.88/131.34 | (208) all_195_1_192 = 0
% 175.88/131.34 |
% 175.88/131.34 | From (217) and (170) follows:
% 175.88/131.34 | (162) pred_attacker(all_0_1_1) = all_167_1_166
% 175.88/131.34 |
% 175.88/131.34 | From (219) and (158) follows:
% 175.88/131.34 | (152) pred_attacker(all_0_4_4) = all_137_0_129
% 175.88/131.34 |
% 175.88/131.34 | From (216) and (153) follows:
% 175.88/131.34 | (113) pred_attacker(name_objective) = all_0_5_5
% 175.88/131.34 |
% 175.88/131.34 +-Applying beta-rule and splitting (171), into two cases.
% 175.88/131.34 |-Branch one:
% 175.88/131.34 | (227) ~ (all_195_1_192 = 0)
% 175.88/131.34 |
% 175.88/131.34 | Equations (208) can reduce 227 to:
% 175.88/131.34 | (181) $false
% 175.88/131.34 |
% 175.88/131.34 |-The branch is then unsatisfiable
% 175.88/131.34 |-Branch two:
% 175.88/131.34 | (208) all_195_1_192 = 0
% 175.88/131.34 | (230) all_195_0_191 = 0
% 175.88/131.34 |
% 175.88/131.34 | Combining equations (230,217) yields a new equation:
% 175.88/131.34 | (231) all_167_1_166 = 0
% 175.88/131.34 |
% 175.88/131.34 | From (231) and (162) follows:
% 175.88/131.34 | (232) pred_attacker(all_0_1_1) = 0
% 175.88/131.34 |
% 175.88/131.34 | Instantiating formula (90) with all_233_0_216, tuple_false and discharging atoms tuple_A_in_2(tuple_false) = all_233_0_216, yields:
% 175.88/131.34 | (233) all_0_2_2 = 0 | ? [v0] : ( ~ (v0 = 0) & pred_attacker(all_233_0_216) = v0)
% 175.88/131.34 |
% 175.88/131.34 | Instantiating formula (19) with all_233_0_216, tuple_false and discharging atoms tuple_A_in_2(tuple_false) = all_233_0_216, yields:
% 175.88/131.34 | (234) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_out_3(v1) = v2 & pred_attacker(v2) = v3 & pred_attacker(all_233_0_216) = v0 & constr_comm_dec(tuple_false, name_Ka) = v1 & ( ~ (v0 = 0) | v3 = 0))
% 175.88/131.34 |
% 175.88/131.34 | Instantiating formula (2) with all_0_1_1 and discharging atoms pred_attacker(all_0_1_1) = 0, yields:
% 175.88/131.34 | (235) ? [v0] : (tuple_A_in_2(all_0_1_1) = v0 & pred_attacker(v0) = 0)
% 175.88/131.34 |
% 175.88/131.34 | Instantiating formula (130) with name_m_9, all_0_1_1 and discharging atoms constr_comm_dec(all_0_1_1, name_Ka) = name_m_9, yields:
% 175.88/131.34 | (236) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (tuple_A_in_2(all_0_1_1) = v0 & tuple_A_out_3(name_m_9) = v2 & pred_attacker(v2) = v3 & pred_attacker(v0) = v1 & ( ~ (v1 = 0) | v3 = 0))
% 175.88/131.34 |
% 175.88/131.34 | Instantiating formula (120) with name_m_9, name_Ka, all_0_1_1 and discharging atoms constr_comm_dec(all_0_1_1, name_Ka) = name_m_9, yields:
% 175.88/131.34 | (237) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_0_1_1) = v0 & pred_attacker(name_m_9) = v2 & pred_attacker(name_Ka) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 175.88/131.34 |
% 175.88/131.34 | Instantiating formula (96) with name_objective, name_m_9, all_0_4_4 and discharging atoms constr_dec(all_0_4_4, name_m_9) = name_objective, yields:
% 175.88/131.34 | (238) ? [v0] : ? [v1] : ? [v2] : (pred_attacker(all_0_4_4) = v0 & pred_attacker(name_objective) = v2 & pred_attacker(name_m_9) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 175.88/131.34 |
% 175.88/131.34 | Instantiating (238) with all_302_0_238, all_302_1_239, all_302_2_240 yields:
% 175.88/131.34 | (239) pred_attacker(all_0_4_4) = all_302_2_240 & pred_attacker(name_objective) = all_302_0_238 & pred_attacker(name_m_9) = all_302_1_239 & ( ~ (all_302_1_239 = 0) | ~ (all_302_2_240 = 0) | all_302_0_238 = 0)
% 175.88/131.34 |
% 175.88/131.34 | Applying alpha-rule on (239) yields:
% 175.88/131.34 | (240) pred_attacker(all_0_4_4) = all_302_2_240
% 175.88/131.34 | (241) pred_attacker(name_objective) = all_302_0_238
% 175.88/131.34 | (242) pred_attacker(name_m_9) = all_302_1_239
% 175.88/131.34 | (243) ~ (all_302_1_239 = 0) | ~ (all_302_2_240 = 0) | all_302_0_238 = 0
% 175.88/131.34 |
% 175.88/131.34 | Instantiating (235) with all_308_0_245 yields:
% 175.88/131.34 | (244) tuple_A_in_2(all_0_1_1) = all_308_0_245 & pred_attacker(all_308_0_245) = 0
% 175.88/131.34 |
% 175.88/131.34 | Applying alpha-rule on (244) yields:
% 175.88/131.34 | (245) tuple_A_in_2(all_0_1_1) = all_308_0_245
% 175.88/131.34 | (246) pred_attacker(all_308_0_245) = 0
% 175.88/131.34 |
% 175.88/131.34 | Instantiating (237) with all_318_0_252, all_318_1_253, all_318_2_254 yields:
% 175.88/131.34 | (247) pred_attacker(all_0_1_1) = all_318_2_254 & pred_attacker(name_m_9) = all_318_0_252 & pred_attacker(name_Ka) = all_318_1_253 & ( ~ (all_318_1_253 = 0) | ~ (all_318_2_254 = 0) | all_318_0_252 = 0)
% 175.88/131.34 |
% 175.88/131.34 | Applying alpha-rule on (247) yields:
% 175.88/131.34 | (248) pred_attacker(all_0_1_1) = all_318_2_254
% 175.88/131.34 | (249) pred_attacker(name_m_9) = all_318_0_252
% 175.88/131.34 | (250) pred_attacker(name_Ka) = all_318_1_253
% 175.88/131.34 | (251) ~ (all_318_1_253 = 0) | ~ (all_318_2_254 = 0) | all_318_0_252 = 0
% 175.88/131.34 |
% 175.88/131.34 | Instantiating (236) with all_324_0_259, all_324_1_260, all_324_2_261, all_324_3_262 yields:
% 175.88/131.34 | (252) tuple_A_in_2(all_0_1_1) = all_324_3_262 & tuple_A_out_3(name_m_9) = all_324_1_260 & pred_attacker(all_324_1_260) = all_324_0_259 & pred_attacker(all_324_3_262) = all_324_2_261 & ( ~ (all_324_2_261 = 0) | all_324_0_259 = 0)
% 175.88/131.34 |
% 175.88/131.35 | Applying alpha-rule on (252) yields:
% 175.88/131.35 | (253) ~ (all_324_2_261 = 0) | all_324_0_259 = 0
% 175.88/131.35 | (254) tuple_A_in_2(all_0_1_1) = all_324_3_262
% 175.88/131.35 | (255) tuple_A_out_3(name_m_9) = all_324_1_260
% 175.88/131.35 | (256) pred_attacker(all_324_1_260) = all_324_0_259
% 175.88/131.35 | (257) pred_attacker(all_324_3_262) = all_324_2_261
% 175.88/131.35 |
% 175.88/131.35 | Instantiating (234) with all_678_0_487, all_678_1_488, all_678_2_489, all_678_3_490 yields:
% 175.88/131.35 | (258) tuple_A_out_3(all_678_2_489) = all_678_1_488 & pred_attacker(all_678_1_488) = all_678_0_487 & pred_attacker(all_233_0_216) = all_678_3_490 & constr_comm_dec(tuple_false, name_Ka) = all_678_2_489 & ( ~ (all_678_3_490 = 0) | all_678_0_487 = 0)
% 175.88/131.35 |
% 175.88/131.35 | Applying alpha-rule on (258) yields:
% 175.88/131.35 | (259) tuple_A_out_3(all_678_2_489) = all_678_1_488
% 175.88/131.35 | (260) constr_comm_dec(tuple_false, name_Ka) = all_678_2_489
% 175.88/131.35 | (261) ~ (all_678_3_490 = 0) | all_678_0_487 = 0
% 175.88/131.35 | (262) pred_attacker(all_233_0_216) = all_678_3_490
% 175.88/131.35 | (263) pred_attacker(all_678_1_488) = all_678_0_487
% 175.88/131.35 |
% 175.88/131.35 | Instantiating formula (102) with all_0_1_1, all_308_0_245, all_324_3_262 and discharging atoms tuple_A_in_2(all_0_1_1) = all_324_3_262, tuple_A_in_2(all_0_1_1) = all_308_0_245, yields:
% 175.88/131.35 | (264) all_324_3_262 = all_308_0_245
% 175.88/131.35 |
% 175.88/131.35 | Instantiating formula (54) with all_233_0_216, all_678_3_490, 0 and discharging atoms pred_attacker(all_233_0_216) = all_678_3_490, pred_attacker(all_233_0_216) = 0, yields:
% 175.88/131.35 | (265) all_678_3_490 = 0
% 175.88/131.35 |
% 175.88/131.35 | Instantiating formula (54) with all_0_4_4, all_302_2_240, all_137_0_129 and discharging atoms pred_attacker(all_0_4_4) = all_302_2_240, pred_attacker(all_0_4_4) = all_137_0_129, yields:
% 175.88/131.35 | (266) all_302_2_240 = all_137_0_129
% 175.88/131.35 |
% 175.88/131.35 | Instantiating formula (54) with name_objective, all_302_0_238, all_0_5_5 and discharging atoms pred_attacker(name_objective) = all_302_0_238, pred_attacker(name_objective) = all_0_5_5, yields:
% 175.88/131.35 | (267) all_302_0_238 = all_0_5_5
% 175.88/131.35 |
% 175.88/131.35 | Instantiating formula (54) with name_m_9, all_302_1_239, all_318_0_252 and discharging atoms pred_attacker(name_m_9) = all_318_0_252, pred_attacker(name_m_9) = all_302_1_239, yields:
% 175.88/131.35 | (268) all_318_0_252 = all_302_1_239
% 175.88/131.35 |
% 175.88/131.35 | From (264) and (257) follows:
% 175.88/131.35 | (269) pred_attacker(all_308_0_245) = all_324_2_261
% 175.88/131.35 |
% 175.88/131.35 | From (265) and (262) follows:
% 175.88/131.35 | (174) pred_attacker(all_233_0_216) = 0
% 175.88/131.35 |
% 175.88/131.35 | From (268) and (249) follows:
% 175.88/131.35 | (242) pred_attacker(name_m_9) = all_302_1_239
% 175.88/131.35 |
% 175.88/131.35 +-Applying beta-rule and splitting (233), into two cases.
% 175.88/131.35 |-Branch one:
% 175.88/131.35 | (272) all_0_2_2 = 0
% 175.88/131.35 |
% 175.88/131.35 | Combining equations (272,212) yields a new equation:
% 175.88/131.35 | (273) all_185_1_180 = 0
% 175.88/131.35 |
% 175.88/131.35 +-Applying beta-rule and splitting (167), into two cases.
% 175.88/131.35 |-Branch one:
% 175.88/131.35 | (274) ~ (all_185_1_180 = 0)
% 175.88/131.35 |
% 175.88/131.35 | Equations (273) can reduce 274 to:
% 175.88/131.35 | (181) $false
% 175.88/131.35 |
% 175.88/131.35 |-The branch is then unsatisfiable
% 175.88/131.35 |-Branch two:
% 175.88/131.35 | (273) all_185_1_180 = 0
% 175.88/131.35 | (277) all_185_0_179 = 0
% 175.88/131.35 |
% 175.88/131.35 | Combining equations (215,277) yields a new equation:
% 175.88/131.35 | (278) all_137_0_129 = 0
% 175.88/131.35 |
% 175.88/131.35 | Simplifying 278 yields:
% 175.88/131.35 | (279) all_137_0_129 = 0
% 175.88/131.35 |
% 175.88/131.35 | Combining equations (279,266) yields a new equation:
% 175.88/131.35 | (280) all_302_2_240 = 0
% 175.88/131.35 |
% 175.88/131.35 +-Applying beta-rule and splitting (243), into two cases.
% 175.88/131.35 |-Branch one:
% 175.88/131.35 | (281) ~ (all_302_1_239 = 0)
% 175.88/131.35 |
% 175.88/131.35 | Instantiating formula (54) with all_308_0_245, all_324_2_261, 0 and discharging atoms pred_attacker(all_308_0_245) = all_324_2_261, pred_attacker(all_308_0_245) = 0, yields:
% 175.88/131.35 | (282) all_324_2_261 = 0
% 175.88/131.35 |
% 175.88/131.35 +-Applying beta-rule and splitting (253), into two cases.
% 175.88/131.35 |-Branch one:
% 175.88/131.35 | (283) ~ (all_324_2_261 = 0)
% 175.88/131.35 |
% 175.88/131.35 | Equations (282) can reduce 283 to:
% 175.88/131.35 | (181) $false
% 175.88/131.35 |
% 175.88/131.35 |-The branch is then unsatisfiable
% 175.88/131.35 |-Branch two:
% 175.88/131.35 | (282) all_324_2_261 = 0
% 175.88/131.35 | (286) all_324_0_259 = 0
% 175.88/131.35 |
% 175.88/131.35 | From (286) and (256) follows:
% 175.88/131.36 | (287) pred_attacker(all_324_1_260) = 0
% 175.88/131.36 |
% 175.88/131.36 | Instantiating formula (63) with all_324_1_260, name_m_9 and discharging atoms tuple_A_out_3(name_m_9) = all_324_1_260, yields:
% 175.88/131.36 | (288) ? [v0] : ? [v1] : (pred_attacker(all_324_1_260) = v0 & pred_attacker(name_m_9) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 175.88/131.36 |
% 175.88/131.36 | Instantiating formula (9) with all_302_1_239, name_m_9 and discharging atoms pred_attacker(name_m_9) = all_302_1_239, yields:
% 175.88/131.36 | (289) all_302_1_239 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_3(name_m_9) = v0 & pred_attacker(v0) = v1)
% 175.88/131.36 |
% 175.88/131.36 | Instantiating (288) with all_8957_0_4662, all_8957_1_4663 yields:
% 175.88/131.36 | (290) pred_attacker(all_324_1_260) = all_8957_1_4663 & pred_attacker(name_m_9) = all_8957_0_4662 & ( ~ (all_8957_1_4663 = 0) | all_8957_0_4662 = 0)
% 175.88/131.36 |
% 175.88/131.36 | Applying alpha-rule on (290) yields:
% 175.88/131.36 | (291) pred_attacker(all_324_1_260) = all_8957_1_4663
% 175.88/131.36 | (292) pred_attacker(name_m_9) = all_8957_0_4662
% 175.88/131.36 | (293) ~ (all_8957_1_4663 = 0) | all_8957_0_4662 = 0
% 175.88/131.36 |
% 175.88/131.36 +-Applying beta-rule and splitting (289), into two cases.
% 175.88/131.36 |-Branch one:
% 175.88/131.36 | (294) all_302_1_239 = 0
% 175.88/131.36 |
% 175.88/131.36 | Equations (294) can reduce 281 to:
% 175.88/131.36 | (181) $false
% 175.88/131.36 |
% 175.88/131.36 |-The branch is then unsatisfiable
% 175.88/131.36 |-Branch two:
% 175.88/131.36 | (281) ~ (all_302_1_239 = 0)
% 175.88/131.36 | (297) ? [v0] : ? [v1] : ( ~ (v1 = 0) & tuple_A_out_3(name_m_9) = v0 & pred_attacker(v0) = v1)
% 175.88/131.36 |
% 175.88/131.36 | Instantiating formula (54) with all_324_1_260, all_8957_1_4663, 0 and discharging atoms pred_attacker(all_324_1_260) = all_8957_1_4663, pred_attacker(all_324_1_260) = 0, yields:
% 175.88/131.36 | (298) all_8957_1_4663 = 0
% 175.88/131.36 |
% 175.88/131.36 | Instantiating formula (54) with name_m_9, all_8957_0_4662, all_302_1_239 and discharging atoms pred_attacker(name_m_9) = all_8957_0_4662, pred_attacker(name_m_9) = all_302_1_239, yields:
% 175.88/131.36 | (299) all_8957_0_4662 = all_302_1_239
% 175.88/131.36 |
% 175.88/131.36 +-Applying beta-rule and splitting (293), into two cases.
% 175.88/131.36 |-Branch one:
% 175.88/131.36 | (300) ~ (all_8957_1_4663 = 0)
% 175.88/131.36 |
% 175.88/131.36 | Equations (298) can reduce 300 to:
% 175.88/131.36 | (181) $false
% 175.88/131.36 |
% 175.88/131.36 |-The branch is then unsatisfiable
% 175.88/131.36 |-Branch two:
% 175.88/131.36 | (298) all_8957_1_4663 = 0
% 175.88/131.36 | (303) all_8957_0_4662 = 0
% 175.88/131.36 |
% 175.88/131.36 | Combining equations (299,303) yields a new equation:
% 175.88/131.36 | (304) all_302_1_239 = 0
% 175.88/131.36 |
% 175.88/131.36 | Simplifying 304 yields:
% 175.88/131.36 | (294) all_302_1_239 = 0
% 175.88/131.36 |
% 175.88/131.36 | Equations (294) can reduce 281 to:
% 175.88/131.36 | (181) $false
% 175.88/131.36 |
% 175.88/131.36 |-The branch is then unsatisfiable
% 175.88/131.36 |-Branch two:
% 175.88/131.36 | (294) all_302_1_239 = 0
% 175.88/131.36 | (308) ~ (all_302_2_240 = 0) | all_302_0_238 = 0
% 175.88/131.36 |
% 175.88/131.36 +-Applying beta-rule and splitting (308), into two cases.
% 175.88/131.36 |-Branch one:
% 175.88/131.36 | (309) ~ (all_302_2_240 = 0)
% 175.88/131.36 |
% 175.88/131.36 | Equations (280) can reduce 309 to:
% 175.88/131.36 | (181) $false
% 175.88/131.36 |
% 175.88/131.36 |-The branch is then unsatisfiable
% 175.88/131.36 |-Branch two:
% 175.88/131.36 | (280) all_302_2_240 = 0
% 175.88/131.36 | (312) all_302_0_238 = 0
% 175.88/131.36 |
% 175.88/131.36 | Combining equations (312,267) yields a new equation:
% 175.88/131.36 | (180) all_0_5_5 = 0
% 175.88/131.36 |
% 175.88/131.36 | Equations (180) can reduce 39 to:
% 175.88/131.36 | (181) $false
% 175.88/131.36 |
% 175.88/131.36 |-The branch is then unsatisfiable
% 175.88/131.36 |-Branch two:
% 175.88/131.36 | (315) ~ (all_0_2_2 = 0)
% 175.88/131.36 | (316) ? [v0] : ( ~ (v0 = 0) & pred_attacker(all_233_0_216) = v0)
% 175.88/131.36 |
% 175.88/131.36 | Instantiating (316) with all_1608_0_5849 yields:
% 175.88/131.36 | (317) ~ (all_1608_0_5849 = 0) & pred_attacker(all_233_0_216) = all_1608_0_5849
% 175.88/131.36 |
% 175.88/131.36 | Applying alpha-rule on (317) yields:
% 175.88/131.36 | (318) ~ (all_1608_0_5849 = 0)
% 175.88/131.36 | (319) pred_attacker(all_233_0_216) = all_1608_0_5849
% 175.88/131.36 |
% 175.88/131.36 | Instantiating formula (54) with all_233_0_216, all_1608_0_5849, 0 and discharging atoms pred_attacker(all_233_0_216) = all_1608_0_5849, pred_attacker(all_233_0_216) = 0, yields:
% 175.88/131.36 | (320) all_1608_0_5849 = 0
% 175.88/131.36 |
% 175.88/131.36 | Equations (320) can reduce 318 to:
% 175.88/131.36 | (181) $false
% 175.88/131.36 |
% 175.88/131.36 |-The branch is then unsatisfiable
% 175.88/131.36 % SZS output end Proof for theBenchmark
% 175.88/131.36
% 175.88/131.36 130741ms
%------------------------------------------------------------------------------