TSTP Solution File: SWW967+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW967+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 : 300s
% DateTime : Fri Sep 1 00:15:56 EDT 2023
% Result : Theorem 0.58s 0.86s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW967+1 : TPTP v8.1.2. Released v7.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 19:33:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.58/0.83 %-------------------------------------------
% 0.58/0.83 % File :CSE---1.6
% 0.58/0.83 % Problem :theBenchmark
% 0.58/0.83 % Transform :cnf
% 0.58/0.83 % Format :tptp:raw
% 0.58/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.83
% 0.58/0.83 % Result :Theorem 0.180000s
% 0.58/0.83 % Output :CNFRefutation 0.180000s
% 0.58/0.83 %-------------------------------------------
% 0.58/0.84 %--------------------------------------------------------------------------
% 0.58/0.84 % File : SWW967+1 : TPTP v8.1.2. Released v7.4.0.
% 0.58/0.84 % Domain : Software Verification
% 0.58/0.84 % Problem : Attack on a variant of Needham-Schroeder Symmetric Key Protocol
% 0.58/0.84 % Version : [LT19] axioms : Especial.
% 0.58/0.84 % English : Uses CBC. Attack demonstrates an impersonation attack.
% 0.58/0.84
% 0.58/0.84 % Refs : [BO97] Bull & Otway (1997), The Authentication Protocol
% 0.58/0.84 % : [RS98] Ryan & Schneider (1998), An Attack on a Recursive Auth
% 0.58/0.84 % : [LT19] Li & Tiu (2019), Combining ProVerif and Automated Theo
% 0.58/0.84 % : [Li20] Li (2020), Email to Geoff Sutcliffe
% 0.58/0.84 % Source : [Li20]
% 0.58/0.84 % Names : NS-CBC-alive.p [LT20]
% 0.58/0.84
% 0.58/0.84 % Status : Theorem
% 0.58/0.84 % Rating : 0.39 v8.1.0, 0.36 v7.5.0, 0.44 v7.4.0
% 0.58/0.84 % Syntax : Number of formulae : 175 ( 99 unt; 0 def)
% 0.58/0.84 % Number of atoms : 297 ( 83 equ)
% 0.58/0.84 % Maximal formula atoms : 9 ( 1 avg)
% 0.58/0.84 % Number of connectives : 188 ( 66 ~; 0 |; 46 &)
% 0.58/0.84 % ( 0 <=>; 76 =>; 0 <=; 0 <~>)
% 0.58/0.84 % Maximal formula depth : 14 ( 3 avg)
% 0.58/0.84 % Maximal term depth : 7 ( 1 avg)
% 0.58/0.84 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty)
% 0.58/0.84 % Number of functors : 59 ( 59 usr; 14 con; 0-5 aty)
% 0.58/0.84 % Number of variables : 217 ( 217 !; 0 ?)
% 0.58/0.84 % SPC : FOF_THM_RFO_SEQ
% 0.58/0.84
% 0.58/0.84 % Comments : Generated by a modified version of ProVerif used in the
% 0.58/0.84 % ProVerif-ATP project [LT19].
% 0.58/0.84 %--------------------------------------------------------------------------
% 0.58/0.84 fof(ax0,axiom,
% 0.58/0.84 constr_CONST_0x30 != constr_CONST_1 ).
% 0.58/0.84
% 0.58/0.84 fof(ax1,axiom,
% 0.58/0.84 constr_CONST_0x30 != constr_CONST_2 ).
% 0.58/0.84
% 0.58/0.84 fof(ax2,axiom,
% 0.58/0.84 constr_CONST_0x30 != constr_CONST_3 ).
% 0.58/0.84
% 0.58/0.84 fof(ax3,axiom,
% 0.58/0.84 constr_CONST_0x30 != constr_CONST_4 ).
% 0.58/0.84
% 0.58/0.84 fof(ax4,axiom,
% 0.58/0.84 constr_CONST_0x30 != name_A ).
% 0.58/0.84
% 0.58/0.84 fof(ax5,axiom,
% 0.58/0.84 constr_CONST_0x30 != name_B ).
% 0.58/0.84
% 0.58/0.84 fof(ax6,axiom,
% 0.58/0.84 constr_CONST_0x30 != name_I ).
% 0.58/0.84
% 0.58/0.84 fof(ax7,axiom,
% 0.58/0.84 constr_CONST_0x30 != name_Kas ).
% 0.58/0.84
% 0.58/0.84 fof(ax8,axiom,
% 0.58/0.84 constr_CONST_0x30 != name_Kbs ).
% 0.58/0.84
% 0.58/0.84 fof(ax9,axiom,
% 0.58/0.84 constr_CONST_0x30 != name_c ).
% 0.58/0.84
% 0.58/0.84 fof(ax10,axiom,
% 0.58/0.84 constr_CONST_0x30 != name_objective ).
% 0.58/0.84
% 0.58/0.84 fof(ax11,axiom,
% 0.58/0.84 constr_CONST_1 != constr_CONST_2 ).
% 0.58/0.84
% 0.58/0.84 fof(ax12,axiom,
% 0.58/0.84 constr_CONST_1 != constr_CONST_3 ).
% 0.58/0.84
% 0.58/0.84 fof(ax13,axiom,
% 0.58/0.84 constr_CONST_1 != constr_CONST_4 ).
% 0.58/0.84
% 0.58/0.84 fof(ax14,axiom,
% 0.58/0.84 constr_CONST_1 != name_A ).
% 0.58/0.84
% 0.58/0.84 fof(ax15,axiom,
% 0.58/0.84 constr_CONST_1 != name_B ).
% 0.58/0.84
% 0.58/0.84 fof(ax16,axiom,
% 0.58/0.84 constr_CONST_1 != name_I ).
% 0.58/0.84
% 0.58/0.84 fof(ax17,axiom,
% 0.58/0.84 constr_CONST_1 != name_Kas ).
% 0.58/0.84
% 0.58/0.84 fof(ax18,axiom,
% 0.58/0.84 constr_CONST_1 != name_Kbs ).
% 0.58/0.84
% 0.58/0.84 fof(ax19,axiom,
% 0.58/0.84 constr_CONST_1 != name_c ).
% 0.58/0.84
% 0.58/0.84 fof(ax20,axiom,
% 0.58/0.84 constr_CONST_1 != name_objective ).
% 0.58/0.84
% 0.58/0.84 fof(ax21,axiom,
% 0.58/0.84 constr_CONST_2 != constr_CONST_3 ).
% 0.58/0.84
% 0.58/0.84 fof(ax22,axiom,
% 0.58/0.84 constr_CONST_2 != constr_CONST_4 ).
% 0.58/0.84
% 0.58/0.84 fof(ax23,axiom,
% 0.58/0.84 constr_CONST_2 != name_A ).
% 0.58/0.84
% 0.58/0.84 fof(ax24,axiom,
% 0.58/0.84 constr_CONST_2 != name_B ).
% 0.58/0.84
% 0.58/0.84 fof(ax25,axiom,
% 0.58/0.84 constr_CONST_2 != name_I ).
% 0.58/0.84
% 0.58/0.84 fof(ax26,axiom,
% 0.58/0.84 constr_CONST_2 != name_Kas ).
% 0.58/0.84
% 0.58/0.84 fof(ax27,axiom,
% 0.58/0.84 constr_CONST_2 != name_Kbs ).
% 0.58/0.84
% 0.58/0.84 fof(ax28,axiom,
% 0.58/0.84 constr_CONST_2 != name_c ).
% 0.58/0.84
% 0.58/0.84 fof(ax29,axiom,
% 0.58/0.84 constr_CONST_2 != name_objective ).
% 0.58/0.84
% 0.58/0.84 fof(ax30,axiom,
% 0.58/0.84 constr_CONST_3 != constr_CONST_4 ).
% 0.58/0.84
% 0.58/0.84 fof(ax31,axiom,
% 0.58/0.84 constr_CONST_3 != name_A ).
% 0.58/0.84
% 0.58/0.84 fof(ax32,axiom,
% 0.58/0.84 constr_CONST_3 != name_B ).
% 0.58/0.84
% 0.58/0.84 fof(ax33,axiom,
% 0.58/0.84 constr_CONST_3 != name_I ).
% 0.58/0.84
% 0.58/0.84 fof(ax34,axiom,
% 0.58/0.84 constr_CONST_3 != name_Kas ).
% 0.58/0.84
% 0.58/0.84 fof(ax35,axiom,
% 0.58/0.84 constr_CONST_3 != name_Kbs ).
% 0.58/0.84
% 0.58/0.84 fof(ax36,axiom,
% 0.58/0.84 constr_CONST_3 != name_c ).
% 0.58/0.84
% 0.58/0.84 fof(ax37,axiom,
% 0.58/0.84 constr_CONST_3 != name_objective ).
% 0.58/0.84
% 0.58/0.84 fof(ax38,axiom,
% 0.58/0.84 constr_CONST_4 != name_A ).
% 0.58/0.84
% 0.58/0.84 fof(ax39,axiom,
% 0.58/0.84 constr_CONST_4 != name_B ).
% 0.58/0.84
% 0.58/0.84 fof(ax40,axiom,
% 0.58/0.84 constr_CONST_4 != name_I ).
% 0.58/0.84
% 0.58/0.84 fof(ax41,axiom,
% 0.58/0.84 constr_CONST_4 != name_Kas ).
% 0.58/0.84
% 0.58/0.84 fof(ax42,axiom,
% 0.58/0.84 constr_CONST_4 != name_Kbs ).
% 0.58/0.84
% 0.58/0.84 fof(ax43,axiom,
% 0.58/0.84 constr_CONST_4 != name_c ).
% 0.58/0.84
% 0.58/0.84 fof(ax44,axiom,
% 0.58/0.84 constr_CONST_4 != name_objective ).
% 0.58/0.84
% 0.58/0.84 fof(ax45,axiom,
% 0.58/0.84 name_A != name_B ).
% 0.58/0.84
% 0.58/0.84 fof(ax46,axiom,
% 0.58/0.84 name_A != name_I ).
% 0.58/0.84
% 0.58/0.84 fof(ax47,axiom,
% 0.58/0.84 name_A != name_Kas ).
% 0.58/0.84
% 0.58/0.84 fof(ax48,axiom,
% 0.58/0.84 name_A != name_Kbs ).
% 0.58/0.84
% 0.58/0.84 fof(ax49,axiom,
% 0.58/0.84 name_A != name_c ).
% 0.58/0.84
% 0.58/0.84 fof(ax50,axiom,
% 0.58/0.84 name_A != name_objective ).
% 0.58/0.84
% 0.58/0.84 fof(ax51,axiom,
% 0.58/0.84 name_B != name_I ).
% 0.58/0.84
% 0.58/0.85 fof(ax52,axiom,
% 0.58/0.85 name_B != name_Kas ).
% 0.58/0.85
% 0.58/0.85 fof(ax53,axiom,
% 0.58/0.85 name_B != name_Kbs ).
% 0.58/0.85
% 0.58/0.85 fof(ax54,axiom,
% 0.58/0.85 name_B != name_c ).
% 0.58/0.85
% 0.58/0.85 fof(ax55,axiom,
% 0.58/0.85 name_B != name_objective ).
% 0.58/0.85
% 0.58/0.85 fof(ax56,axiom,
% 0.58/0.85 name_I != name_Kas ).
% 0.58/0.85
% 0.58/0.85 fof(ax57,axiom,
% 0.58/0.85 name_I != name_Kbs ).
% 0.58/0.85
% 0.58/0.85 fof(ax58,axiom,
% 0.58/0.85 name_I != name_c ).
% 0.58/0.85
% 0.58/0.85 fof(ax59,axiom,
% 0.58/0.85 name_I != name_objective ).
% 0.58/0.85
% 0.58/0.85 fof(ax60,axiom,
% 0.58/0.85 name_Kas != name_Kbs ).
% 0.58/0.85
% 0.58/0.85 fof(ax61,axiom,
% 0.58/0.85 name_Kas != name_c ).
% 0.58/0.85
% 0.58/0.85 fof(ax62,axiom,
% 0.58/0.85 name_Kas != name_objective ).
% 0.58/0.85
% 0.58/0.85 fof(ax63,axiom,
% 0.58/0.85 name_Kbs != name_c ).
% 0.58/0.85
% 0.58/0.85 fof(ax64,axiom,
% 0.58/0.85 name_Kbs != name_objective ).
% 0.58/0.85
% 0.58/0.85 fof(ax65,axiom,
% 0.58/0.85 name_c != name_objective ).
% 0.58/0.85
% 0.58/0.85 fof(ax66,axiom,
% 0.58/0.85 ! [VAR_K_62,VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61] : constr_cbc_dec_4(constr_cbc_enc_4(VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61,VAR_K_62),VAR_K_62) = tuple_4(VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61) ).
% 0.58/0.85
% 0.58/0.85 fof(ax67,axiom,
% 0.58/0.85 ! [VAR_K_57,VAR_X0X30_54,VAR_X1_55,VAR_X2_56] : constr_cbc_dec_3(constr_cbc_enc_3(VAR_X0X30_54,VAR_X1_55,VAR_X2_56,VAR_K_57),VAR_K_57) = tuple_3(VAR_X0X30_54,VAR_X1_55,VAR_X2_56) ).
% 0.58/0.85
% 0.58/0.85 fof(ax68,axiom,
% 0.58/0.85 ! [VAR_K_53,VAR_X0X30_51,VAR_X1_52] : constr_cbc_dec_2(constr_cbc_enc_2(VAR_X0X30_51,VAR_X1_52,VAR_K_53),VAR_K_53) = tuple_2(VAR_X0X30_51,VAR_X1_52) ).
% 0.58/0.85
% 0.58/0.85 fof(ax69,axiom,
% 0.58/0.85 ! [VAR_K_50X30,VAR_X0X30_49] : constr_cbc_dec_1(constr_cbc_enc_1(VAR_X0X30_49,VAR_K_50X30),VAR_K_50X30) = VAR_X0X30_49 ).
% 0.58/0.85
% 0.58/0.85 fof(ax70,axiom,
% 0.58/0.85 ! [VAR_K_48,VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_X3_47] : constr_cbc_4_get_3_prefixes(constr_cbc_enc_4(VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_X3_47,VAR_K_48)) = constr_cbc_enc_3(VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_K_48) ).
% 0.58/0.85
% 0.58/0.85 fof(ax71,axiom,
% 0.58/0.85 ! [VAR_K_43,VAR_X0X30_39,VAR_X1_40X30,VAR_X2_41,VAR_X3_42] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(VAR_X0X30_39,VAR_X1_40X30,VAR_X2_41,VAR_X3_42,VAR_K_43)) = constr_cbc_enc_2(VAR_X0X30_39,VAR_X1_40X30,VAR_K_43) ).
% 0.58/0.85
% 0.58/0.85 fof(ax72,axiom,
% 0.58/0.85 ! [VAR_K_38,VAR_X0X30_34,VAR_X1_35,VAR_X2_36,VAR_X3_37] : constr_cbc_4_get_1_prefixes(constr_cbc_enc_4(VAR_X0X30_34,VAR_X1_35,VAR_X2_36,VAR_X3_37,VAR_K_38)) = constr_cbc_enc_1(VAR_X0X30_34,VAR_K_38) ).
% 0.58/0.85
% 0.58/0.85 fof(ax73,axiom,
% 0.58/0.85 ! [VAR_K_33,VAR_X0X30_30X30,VAR_X1_31,VAR_X2_32] : constr_cbc_3_get_2_prefixes(constr_cbc_enc_3(VAR_X0X30_30X30,VAR_X1_31,VAR_X2_32,VAR_K_33)) = constr_cbc_enc_2(VAR_X0X30_30X30,VAR_X1_31,VAR_K_33) ).
% 0.58/0.85
% 0.58/0.85 fof(ax74,axiom,
% 0.58/0.85 ! [VAR_K_29,VAR_X0X30_26,VAR_X1_27,VAR_X2_28] : constr_cbc_3_get_1_prefixes(constr_cbc_enc_3(VAR_X0X30_26,VAR_X1_27,VAR_X2_28,VAR_K_29)) = constr_cbc_enc_1(VAR_X0X30_26,VAR_K_29) ).
% 0.58/0.85
% 0.58/0.85 fof(ax75,axiom,
% 0.58/0.85 ! [VAR_K_25,VAR_X0X30_23,VAR_X1_24] : constr_cbc_2_get_1_prefixes(constr_cbc_enc_2(VAR_X0X30_23,VAR_X1_24,VAR_K_25)) = constr_cbc_enc_1(VAR_X0X30_23,VAR_K_25) ).
% 0.58/0.85
% 0.58/0.85 fof(ax76,axiom,
% 0.58/0.85 ! [VAR_K_0X30,VAR_M_0X30] : constr_dec(constr_enc(VAR_M_0X30,VAR_K_0X30),VAR_K_0X30) = VAR_M_0X30 ).
% 0.58/0.85
% 0.58/0.85 fof(ax77,axiom,
% 0.58/0.85 ! [VAR_X0X30_19,VAR_X1_20X30,VAR_X2_21,VAR_X3_22] : constr_tuple_4_get_3_bitstring(tuple_4(VAR_X0X30_19,VAR_X1_20X30,VAR_X2_21,VAR_X3_22)) = VAR_X3_22 ).
% 0.58/0.85
% 0.58/0.85 fof(ax78,axiom,
% 0.58/0.85 ! [VAR_X0X30_15,VAR_X1_16,VAR_X2_17,VAR_X3_18] : constr_tuple_4_get_2_bitstring(tuple_4(VAR_X0X30_15,VAR_X1_16,VAR_X2_17,VAR_X3_18)) = VAR_X2_17 ).
% 0.58/0.85
% 0.58/0.85 fof(ax79,axiom,
% 0.58/0.85 ! [VAR_X0X30_13,VAR_X1_14] : constr_tuple_2_get_0x30_bitstring(tuple_2(VAR_X0X30_13,VAR_X1_14)) = VAR_X0X30_13 ).
% 0.58/0.85
% 0.58/0.85 fof(ax80,axiom,
% 0.58/0.85 ! [VAR_X0X30_9,VAR_X1_10X30,VAR_X2_11,VAR_X3_12] : constr_tuple_4_get_1(tuple_4(VAR_X0X30_9,VAR_X1_10X30,VAR_X2_11,VAR_X3_12)) = VAR_X1_10X30 ).
% 0.58/0.85
% 0.58/0.85 fof(ax81,axiom,
% 0.58/0.85 ! [VAR_X0X30_7,VAR_X1_8,VAR_X2_0X30,VAR_X3_0X30] : constr_tuple_4_get_0x30(tuple_4(VAR_X0X30_7,VAR_X1_8,VAR_X2_0X30,VAR_X3_0X30)) = VAR_X0X30_7 ).
% 0.58/0.85
% 0.58/0.85 fof(ax82,axiom,
% 0.58/0.85 ! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X1_0X30 ).
% 0.58/0.85
% 0.58/0.85 fof(ax83,axiom,
% 0.58/0.85 ! [VAR_X_81,VAR_Y_82] : pred_eq_bitstring_bitstring(VAR_X_81,VAR_Y_82) ).
% 0.58/0.85
% 0.58/0.85 fof(ax84,axiom,
% 0.58/0.85 ! [VAR_V_88] :
% 0.58/0.85 ( pred_attacker(VAR_V_88)
% 0.58/0.85 => pred_attacker(constr_tuple_4_get_3_bitstring(VAR_V_88)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax85,axiom,
% 0.58/0.85 ! [VAR_V_90X30] :
% 0.58/0.85 ( pred_attacker(VAR_V_90X30)
% 0.58/0.85 => pred_attacker(constr_tuple_4_get_2_bitstring(VAR_V_90X30)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax86,axiom,
% 0.58/0.85 ! [VAR_V_92] :
% 0.58/0.85 ( pred_attacker(VAR_V_92)
% 0.58/0.85 => pred_attacker(constr_tuple_4_get_1(VAR_V_92)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax87,axiom,
% 0.58/0.85 ! [VAR_V_94] :
% 0.58/0.85 ( pred_attacker(VAR_V_94)
% 0.58/0.85 => pred_attacker(constr_tuple_4_get_0x30(VAR_V_94)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax88,axiom,
% 0.58/0.85 ! [VAR_V_96] :
% 0.58/0.85 ( pred_attacker(VAR_V_96)
% 0.58/0.85 => pred_attacker(constr_tuple_2_get_1(VAR_V_96)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax89,axiom,
% 0.58/0.85 ! [VAR_V_98] :
% 0.58/0.85 ( pred_attacker(VAR_V_98)
% 0.58/0.85 => pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_98)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax90,axiom,
% 0.58/0.85 pred_attacker(tuple_true) ).
% 0.58/0.85
% 0.58/0.85 fof(ax91,axiom,
% 0.58/0.85 ! [VAR_V_10X300X30] :
% 0.58/0.85 ( pred_attacker(VAR_V_10X300X30)
% 0.58/0.85 => pred_attacker(tuple_succ(VAR_V_10X300X30)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax92,axiom,
% 0.58/0.85 ! [VAR_V_10X303] :
% 0.58/0.85 ( pred_attacker(tuple_succ(VAR_V_10X303))
% 0.58/0.85 => pred_attacker(VAR_V_10X303) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax93,axiom,
% 0.58/0.85 ! [VAR_V_10X306] :
% 0.58/0.85 ( pred_attacker(VAR_V_10X306)
% 0.58/0.85 => pred_attacker(tuple_server_S_out_2(VAR_V_10X306)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax94,axiom,
% 0.58/0.85 ! [VAR_V_10X309] :
% 0.58/0.85 ( pred_attacker(tuple_server_S_out_2(VAR_V_10X309))
% 0.58/0.85 => pred_attacker(VAR_V_10X309) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax95,axiom,
% 0.58/0.85 ! [VAR_V_114,VAR_V_115,VAR_V_116] :
% 0.58/0.85 ( ( pred_attacker(VAR_V_114)
% 0.58/0.85 & pred_attacker(VAR_V_115)
% 0.58/0.85 & pred_attacker(VAR_V_116) )
% 0.58/0.85 => pred_attacker(tuple_server_S_in_1(VAR_V_114,VAR_V_115,VAR_V_116)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax96,axiom,
% 0.58/0.85 ! [VAR_V_129,VAR_V_130X30,VAR_V_131] :
% 0.58/0.85 ( pred_attacker(tuple_server_S_in_1(VAR_V_129,VAR_V_130X30,VAR_V_131))
% 0.58/0.85 => pred_attacker(VAR_V_129) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax97,axiom,
% 0.58/0.85 ! [VAR_V_133,VAR_V_134,VAR_V_135] :
% 0.58/0.85 ( pred_attacker(tuple_server_S_in_1(VAR_V_133,VAR_V_134,VAR_V_135))
% 0.58/0.85 => pred_attacker(VAR_V_134) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax98,axiom,
% 0.58/0.85 ! [VAR_V_137,VAR_V_138,VAR_V_139] :
% 0.58/0.85 ( pred_attacker(tuple_server_S_in_1(VAR_V_137,VAR_V_138,VAR_V_139))
% 0.58/0.85 => pred_attacker(VAR_V_139) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax99,axiom,
% 0.58/0.85 pred_attacker(tuple_false) ).
% 0.58/0.85
% 0.58/0.85 fof(ax100,axiom,
% 0.58/0.85 ! [VAR_V_144,VAR_V_145] :
% 0.58/0.85 ( ( pred_attacker(VAR_V_144)
% 0.58/0.85 & pred_attacker(VAR_V_145) )
% 0.58/0.85 => pred_attacker(constr_enc(VAR_V_144,VAR_V_145)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax101,axiom,
% 0.58/0.85 ! [VAR_V_148,VAR_V_149] :
% 0.58/0.85 ( ( pred_attacker(VAR_V_148)
% 0.58/0.85 & pred_attacker(VAR_V_149) )
% 0.58/0.85 => pred_attacker(constr_dec(VAR_V_148,VAR_V_149)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax102,axiom,
% 0.58/0.85 ! [VAR_V_151] :
% 0.58/0.85 ( pred_attacker(VAR_V_151)
% 0.58/0.85 => pred_attacker(tuple_client_B_out_2(VAR_V_151)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax103,axiom,
% 0.58/0.85 ! [VAR_V_154] :
% 0.58/0.85 ( pred_attacker(tuple_client_B_out_2(VAR_V_154))
% 0.58/0.85 => pred_attacker(VAR_V_154) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax104,axiom,
% 0.58/0.85 ! [VAR_V_157] :
% 0.58/0.85 ( pred_attacker(VAR_V_157)
% 0.58/0.85 => pred_attacker(tuple_client_B_in_3(VAR_V_157)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax105,axiom,
% 0.58/0.85 ! [VAR_V_160X30] :
% 0.58/0.85 ( pred_attacker(tuple_client_B_in_3(VAR_V_160X30))
% 0.58/0.85 => pred_attacker(VAR_V_160X30) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax106,axiom,
% 0.58/0.85 ! [VAR_V_163] :
% 0.58/0.85 ( pred_attacker(VAR_V_163)
% 0.58/0.85 => pred_attacker(tuple_client_B_in_1(VAR_V_163)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax107,axiom,
% 0.58/0.85 ! [VAR_V_166] :
% 0.58/0.85 ( pred_attacker(tuple_client_B_in_1(VAR_V_166))
% 0.58/0.85 => pred_attacker(VAR_V_166) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax108,axiom,
% 0.58/0.85 ! [VAR_V_169] :
% 0.58/0.85 ( pred_attacker(VAR_V_169)
% 0.58/0.85 => pred_attacker(tuple_client_A_out_9(VAR_V_169)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax109,axiom,
% 0.58/0.85 ! [VAR_V_172] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_out_9(VAR_V_172))
% 0.58/0.85 => pred_attacker(VAR_V_172) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax110,axiom,
% 0.58/0.85 ! [VAR_V_175] :
% 0.58/0.85 ( pred_attacker(VAR_V_175)
% 0.58/0.85 => pred_attacker(tuple_client_A_out_7(VAR_V_175)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax111,axiom,
% 0.58/0.85 ! [VAR_V_178] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_out_7(VAR_V_178))
% 0.58/0.85 => pred_attacker(VAR_V_178) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax112,axiom,
% 0.58/0.85 ! [VAR_V_181] :
% 0.58/0.85 ( pred_attacker(VAR_V_181)
% 0.58/0.85 => pred_attacker(tuple_client_A_out_5(VAR_V_181)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax113,axiom,
% 0.58/0.85 ! [VAR_V_184] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_out_5(VAR_V_184))
% 0.58/0.85 => pred_attacker(VAR_V_184) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax114,axiom,
% 0.58/0.85 ! [VAR_V_187] :
% 0.58/0.85 ( pred_attacker(VAR_V_187)
% 0.58/0.85 => pred_attacker(tuple_client_A_out_3(VAR_V_187)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax115,axiom,
% 0.58/0.85 ! [VAR_V_190X30] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_out_3(VAR_V_190X30))
% 0.58/0.85 => pred_attacker(VAR_V_190X30) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax116,axiom,
% 0.58/0.85 ! [VAR_V_195,VAR_V_196,VAR_V_197] :
% 0.58/0.85 ( ( pred_attacker(VAR_V_195)
% 0.58/0.85 & pred_attacker(VAR_V_196)
% 0.58/0.85 & pred_attacker(VAR_V_197) )
% 0.58/0.85 => pred_attacker(tuple_client_A_out_1(VAR_V_195,VAR_V_196,VAR_V_197)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax117,axiom,
% 0.58/0.85 ! [VAR_V_210X30,VAR_V_211,VAR_V_212] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_out_1(VAR_V_210X30,VAR_V_211,VAR_V_212))
% 0.58/0.85 => pred_attacker(VAR_V_210X30) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax118,axiom,
% 0.58/0.85 ! [VAR_V_214,VAR_V_215,VAR_V_216] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_out_1(VAR_V_214,VAR_V_215,VAR_V_216))
% 0.58/0.85 => pred_attacker(VAR_V_215) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax119,axiom,
% 0.58/0.85 ! [VAR_V_218,VAR_V_219,VAR_V_220X30] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_out_1(VAR_V_218,VAR_V_219,VAR_V_220X30))
% 0.58/0.85 => pred_attacker(VAR_V_220X30) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax120,axiom,
% 0.58/0.85 ! [VAR_V_223] :
% 0.58/0.85 ( pred_attacker(VAR_V_223)
% 0.58/0.85 => pred_attacker(tuple_client_A_in_8(VAR_V_223)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax121,axiom,
% 0.58/0.85 ! [VAR_V_226] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_in_8(VAR_V_226))
% 0.58/0.85 => pred_attacker(VAR_V_226) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax122,axiom,
% 0.58/0.85 ! [VAR_V_229] :
% 0.58/0.85 ( pred_attacker(VAR_V_229)
% 0.58/0.85 => pred_attacker(tuple_client_A_in_6(VAR_V_229)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax123,axiom,
% 0.58/0.85 ! [VAR_V_232] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_in_6(VAR_V_232))
% 0.58/0.85 => pred_attacker(VAR_V_232) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax124,axiom,
% 0.58/0.85 ! [VAR_V_235] :
% 0.58/0.85 ( pred_attacker(VAR_V_235)
% 0.58/0.85 => pred_attacker(tuple_client_A_in_4(VAR_V_235)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax125,axiom,
% 0.58/0.85 ! [VAR_V_238] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_in_4(VAR_V_238))
% 0.58/0.85 => pred_attacker(VAR_V_238) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax126,axiom,
% 0.58/0.85 ! [VAR_V_241] :
% 0.58/0.85 ( pred_attacker(VAR_V_241)
% 0.58/0.85 => pred_attacker(tuple_client_A_in_2(VAR_V_241)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax127,axiom,
% 0.58/0.85 ! [VAR_V_244] :
% 0.58/0.85 ( pred_attacker(tuple_client_A_in_2(VAR_V_244))
% 0.58/0.85 => pred_attacker(VAR_V_244) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax128,axiom,
% 0.58/0.85 ! [VAR_V_251,VAR_V_252,VAR_V_253,VAR_V_254,VAR_V_255] :
% 0.58/0.85 ( ( pred_attacker(VAR_V_251)
% 0.58/0.85 & pred_attacker(VAR_V_252)
% 0.58/0.85 & pred_attacker(VAR_V_253)
% 0.58/0.85 & pred_attacker(VAR_V_254)
% 0.58/0.85 & pred_attacker(VAR_V_255) )
% 0.58/0.85 => pred_attacker(constr_cbc_enc_4(VAR_V_251,VAR_V_252,VAR_V_253,VAR_V_254,VAR_V_255)) ) ).
% 0.58/0.85
% 0.58/0.85 fof(ax129,axiom,
% 0.58/0.85 ! [VAR_V_260X30,VAR_V_261,VAR_V_262,VAR_V_263] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_260X30)
% 0.58/0.86 & pred_attacker(VAR_V_261)
% 0.58/0.86 & pred_attacker(VAR_V_262)
% 0.58/0.86 & pred_attacker(VAR_V_263) )
% 0.58/0.86 => pred_attacker(constr_cbc_enc_3(VAR_V_260X30,VAR_V_261,VAR_V_262,VAR_V_263)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax130,axiom,
% 0.58/0.86 ! [VAR_V_267,VAR_V_268,VAR_V_269] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_267)
% 0.58/0.86 & pred_attacker(VAR_V_268)
% 0.58/0.86 & pred_attacker(VAR_V_269) )
% 0.58/0.86 => pred_attacker(constr_cbc_enc_2(VAR_V_267,VAR_V_268,VAR_V_269)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax131,axiom,
% 0.58/0.86 ! [VAR_V_272,VAR_V_273] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_272)
% 0.58/0.86 & pred_attacker(VAR_V_273) )
% 0.58/0.86 => pred_attacker(constr_cbc_enc_1(VAR_V_272,VAR_V_273)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax132,axiom,
% 0.58/0.86 ! [VAR_V_276,VAR_V_277] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_276)
% 0.58/0.86 & pred_attacker(VAR_V_277) )
% 0.58/0.86 => pred_attacker(constr_cbc_dec_4(VAR_V_276,VAR_V_277)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax133,axiom,
% 0.58/0.86 ! [VAR_V_280X30,VAR_V_281] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_280X30)
% 0.58/0.86 & pred_attacker(VAR_V_281) )
% 0.58/0.86 => pred_attacker(constr_cbc_dec_3(VAR_V_280X30,VAR_V_281)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax134,axiom,
% 0.58/0.86 ! [VAR_V_284,VAR_V_285] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_284)
% 0.58/0.86 & pred_attacker(VAR_V_285) )
% 0.58/0.86 => pred_attacker(constr_cbc_dec_2(VAR_V_284,VAR_V_285)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax135,axiom,
% 0.58/0.86 ! [VAR_V_288,VAR_V_289] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_288)
% 0.58/0.86 & pred_attacker(VAR_V_289) )
% 0.58/0.86 => pred_attacker(constr_cbc_dec_1(VAR_V_288,VAR_V_289)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax136,axiom,
% 0.58/0.86 ! [VAR_V_291] :
% 0.58/0.86 ( pred_attacker(VAR_V_291)
% 0.58/0.86 => pred_attacker(constr_cbc_4_get_3_prefixes(VAR_V_291)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax137,axiom,
% 0.58/0.86 ! [VAR_V_293] :
% 0.58/0.86 ( pred_attacker(VAR_V_293)
% 0.58/0.86 => pred_attacker(constr_cbc_4_get_2_prefixes(VAR_V_293)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax138,axiom,
% 0.58/0.86 ! [VAR_V_295] :
% 0.58/0.86 ( pred_attacker(VAR_V_295)
% 0.58/0.86 => pred_attacker(constr_cbc_4_get_1_prefixes(VAR_V_295)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax139,axiom,
% 0.58/0.86 ! [VAR_V_297] :
% 0.58/0.86 ( pred_attacker(VAR_V_297)
% 0.58/0.86 => pred_attacker(constr_cbc_3_get_2_prefixes(VAR_V_297)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax140,axiom,
% 0.58/0.86 ! [VAR_V_299] :
% 0.58/0.86 ( pred_attacker(VAR_V_299)
% 0.58/0.86 => pred_attacker(constr_cbc_3_get_1_prefixes(VAR_V_299)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax141,axiom,
% 0.58/0.86 ! [VAR_V_30X301] :
% 0.58/0.86 ( pred_attacker(VAR_V_30X301)
% 0.58/0.86 => pred_attacker(constr_cbc_2_get_1_prefixes(VAR_V_30X301)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax142,axiom,
% 0.58/0.86 pred_attacker(constr_CONST_4) ).
% 0.58/0.86
% 0.58/0.86 fof(ax143,axiom,
% 0.58/0.86 pred_attacker(constr_CONST_3) ).
% 0.58/0.86
% 0.58/0.86 fof(ax144,axiom,
% 0.58/0.86 pred_attacker(constr_CONST_2) ).
% 0.58/0.86
% 0.58/0.86 fof(ax145,axiom,
% 0.58/0.86 pred_attacker(constr_CONST_1) ).
% 0.58/0.86
% 0.58/0.86 fof(ax146,axiom,
% 0.58/0.86 pred_attacker(constr_CONST_0x30) ).
% 0.58/0.86
% 0.58/0.86 fof(ax147,axiom,
% 0.58/0.86 ! [VAR_V_310X30,VAR_V_311,VAR_V_312,VAR_V_313] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_310X30)
% 0.58/0.86 & pred_attacker(VAR_V_311)
% 0.58/0.86 & pred_attacker(VAR_V_312)
% 0.58/0.86 & pred_attacker(VAR_V_313) )
% 0.58/0.86 => pred_attacker(tuple_4(VAR_V_310X30,VAR_V_311,VAR_V_312,VAR_V_313)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax148,axiom,
% 0.58/0.86 ! [VAR_V_334,VAR_V_335,VAR_V_336,VAR_V_337] :
% 0.58/0.86 ( pred_attacker(tuple_4(VAR_V_334,VAR_V_335,VAR_V_336,VAR_V_337))
% 0.58/0.86 => pred_attacker(VAR_V_334) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax149,axiom,
% 0.58/0.86 ! [VAR_V_339,VAR_V_340X30,VAR_V_341,VAR_V_342] :
% 0.58/0.86 ( pred_attacker(tuple_4(VAR_V_339,VAR_V_340X30,VAR_V_341,VAR_V_342))
% 0.58/0.86 => pred_attacker(VAR_V_340X30) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax150,axiom,
% 0.58/0.86 ! [VAR_V_344,VAR_V_345,VAR_V_346,VAR_V_347] :
% 0.58/0.86 ( pred_attacker(tuple_4(VAR_V_344,VAR_V_345,VAR_V_346,VAR_V_347))
% 0.58/0.86 => pred_attacker(VAR_V_346) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax151,axiom,
% 0.58/0.86 ! [VAR_V_349,VAR_V_350X30,VAR_V_351,VAR_V_352] :
% 0.58/0.86 ( pred_attacker(tuple_4(VAR_V_349,VAR_V_350X30,VAR_V_351,VAR_V_352))
% 0.58/0.86 => pred_attacker(VAR_V_352) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax152,axiom,
% 0.58/0.86 ! [VAR_V_357,VAR_V_358,VAR_V_359] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_357)
% 0.58/0.86 & pred_attacker(VAR_V_358)
% 0.58/0.86 & pred_attacker(VAR_V_359) )
% 0.58/0.86 => pred_attacker(tuple_3(VAR_V_357,VAR_V_358,VAR_V_359)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax153,axiom,
% 0.58/0.86 ! [VAR_V_372,VAR_V_373,VAR_V_374] :
% 0.58/0.86 ( pred_attacker(tuple_3(VAR_V_372,VAR_V_373,VAR_V_374))
% 0.58/0.86 => pred_attacker(VAR_V_372) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax154,axiom,
% 0.58/0.86 ! [VAR_V_376,VAR_V_377,VAR_V_378] :
% 0.58/0.86 ( pred_attacker(tuple_3(VAR_V_376,VAR_V_377,VAR_V_378))
% 0.58/0.86 => pred_attacker(VAR_V_377) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax155,axiom,
% 0.58/0.86 ! [VAR_V_380X30,VAR_V_381,VAR_V_382] :
% 0.58/0.86 ( pred_attacker(tuple_3(VAR_V_380X30,VAR_V_381,VAR_V_382))
% 0.58/0.86 => pred_attacker(VAR_V_382) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax156,axiom,
% 0.58/0.86 ! [VAR_V_386,VAR_V_387] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_386)
% 0.58/0.86 & pred_attacker(VAR_V_387) )
% 0.58/0.86 => pred_attacker(tuple_2(VAR_V_386,VAR_V_387)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax157,axiom,
% 0.58/0.86 ! [VAR_V_394,VAR_V_395] :
% 0.58/0.86 ( pred_attacker(tuple_2(VAR_V_394,VAR_V_395))
% 0.58/0.86 => pred_attacker(VAR_V_394) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax158,axiom,
% 0.58/0.86 ! [VAR_V_397,VAR_V_398] :
% 0.58/0.86 ( pred_attacker(tuple_2(VAR_V_397,VAR_V_398))
% 0.58/0.86 => pred_attacker(VAR_V_398) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax159,axiom,
% 0.58/0.86 ! [VAR_V_40X300X30,VAR_V_40X301] :
% 0.58/0.86 ( ( pred_mess(VAR_V_40X301,VAR_V_40X300X30)
% 0.58/0.86 & pred_attacker(VAR_V_40X301) )
% 0.58/0.86 => pred_attacker(VAR_V_40X300X30) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax160,axiom,
% 0.58/0.86 ! [VAR_V_40X302,VAR_V_40X303] :
% 0.58/0.86 ( ( pred_attacker(VAR_V_40X303)
% 0.58/0.86 & pred_attacker(VAR_V_40X302) )
% 0.58/0.86 => pred_mess(VAR_V_40X303,VAR_V_40X302) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax161,axiom,
% 0.58/0.86 pred_attacker(name_c) ).
% 0.58/0.86
% 0.58/0.86 fof(ax162,axiom,
% 0.58/0.86 pred_attacker(name_I) ).
% 0.58/0.86
% 0.58/0.86 fof(ax163,axiom,
% 0.58/0.86 pred_attacker(name_B) ).
% 0.58/0.86
% 0.58/0.86 fof(ax164,axiom,
% 0.58/0.86 pred_attacker(name_A) ).
% 0.58/0.86
% 0.58/0.86 fof(ax165,axiom,
% 0.58/0.86 ! [VAR_V_40X305] : pred_equal(VAR_V_40X305,VAR_V_40X305) ).
% 0.58/0.86
% 0.58/0.86 fof(ax166,axiom,
% 0.58/0.86 ! [VAR_V_40X306] : pred_attacker(name_new0x2Dname(VAR_V_40X306)) ).
% 0.58/0.86
% 0.58/0.86 fof(ax167,axiom,
% 0.58/0.86 ! [VAR_0X40SID_420X30] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(VAR_0X40SID_420X30))) ).
% 0.58/0.86
% 0.58/0.86 fof(ax168,axiom,
% 0.58/0.86 ! [VAR_0X40SID_491,VAR_ENC_NA_B_ENC_KAB_A_490X30] :
% 0.58/0.86 ( ( pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))
% 0.58/0.86 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_491),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_490X30)) )
% 0.58/0.86 => pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax169,axiom,
% 0.58/0.86 ! [VAR_0X40SID_523,VAR_ENC_NA_B_ENC_KAB_A_522,VAR_ENC_NB_521] :
% 0.58/0.86 ( ( pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_521))
% 0.58/0.86 & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))
% 0.58/0.86 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_523),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_522)) )
% 0.58/0.86 => pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(VAR_ENC_NB_521,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas))))) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax170,axiom,
% 0.58/0.86 ! [VAR_0X40SID_572,VAR_ENC_KAB_A0X27_569,VAR_ENC_NA_B_ENC_KAB_A_571,VAR_ENC_NB_570X30] :
% 0.58/0.86 ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_569,name_Kas)))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_569))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_570X30))
% 0.58/0.86 & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_571,name_Kas)))
% 0.58/0.86 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_572),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_571,name_Kas)))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_571)) )
% 0.58/0.86 => pred_attacker(tuple_client_A_out_7(constr_cbc_enc_1(name_Na0x27(VAR_ENC_NB_570X30,VAR_ENC_NA_B_ENC_KAB_A_571,VAR_0X40SID_572),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_569,name_Kas))))) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax171,axiom,
% 0.58/0.86 ! [VAR_0X40SID_598,VAR_ENC_KAB_A0X27_60X300X30,VAR_ENC_NA_B_ENC_KAB_A_597,VAR_ENC_NB_596,VAR_ENC_SUCC_NA0X27_599] :
% 0.58/0.86 ( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596,VAR_ENC_NA_B_ENC_KAB_A_597,VAR_0X40SID_598)),constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30,name_Kas))))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))
% 0.58/0.86 & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30,name_Kas)))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))
% 0.58/0.86 & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597,name_Kas)))
% 0.58/0.86 & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597,name_Kas)))
% 0.58/0.86 & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)) )
% 0.58/0.86 => pred_attacker(tuple_client_A_out_9(name_objective)) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax172,axiom,
% 0.58/0.86 ! [VAR_0X40SID_662,VAR_ENC_KAB_A_661] :
% 0.58/0.86 ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A_661,name_Kbs)))
% 0.58/0.86 & pred_attacker(tuple_client_B_in_1(VAR_ENC_KAB_A_661)) )
% 0.58/0.86 => pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(VAR_0X40SID_662),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A_661,name_Kbs))))) ) ).
% 0.58/0.86
% 0.58/0.86 fof(ax173,axiom,
% 0.58/0.86 ! [VAR_0X40SID_732,VAR_A_729,VAR_B_730X30,VAR_NA_731] :
% 0.58/0.86 ( pred_attacker(tuple_server_S_in_1(VAR_A_729,VAR_B_730X30,VAR_NA_731))
% 0.58/0.86 => pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(VAR_NA_731,VAR_B_730X30,name_Kab_66(VAR_0X40SID_732),constr_cbc_enc_2(name_Kab_66(VAR_0X40SID_732),VAR_A_729,name_Kbs),name_Kas))) ) ).
% 0.58/0.86
% 0.58/0.86 fof(co0,conjecture,
% 0.58/0.86 pred_attacker(name_objective) ).
% 0.58/0.86
% 0.58/0.86 %--------------------------------------------------------------------------
% 0.58/0.86 %-------------------------------------------
% 0.58/0.86 % Proof found
% 0.58/0.86 % SZS status Theorem for theBenchmark
% 0.58/0.86 % SZS output start Proof
% 0.58/0.86 %ClaNum:255(EqnAxiom:81)
% 0.58/0.86 %VarNum:361(SingletonVarNum:212)
% 0.58/0.86 %MaxLitNum:6
% 0.58/0.86 %MaxfuncDepth:4
% 0.58/0.86 %SharedTerms:94
% 0.58/0.86 %goalClause: 179
% 0.58/0.86 %singleGoalClaCount:1
% 0.58/0.86 [82]P1(a1)
% 0.58/0.86 [83]P1(a2)
% 0.58/0.86 [84]P1(a3)
% 0.58/0.86 [85]P1(a4)
% 0.58/0.86 [86]P1(a5)
% 0.58/0.86 [87]P1(a6)
% 0.58/0.86 [88]P1(a29)
% 0.58/0.86 [89]P1(a30)
% 0.58/0.86 [90]P1(a31)
% 0.58/0.86 [91]P1(a38)
% 0.58/0.86 [92]P1(a39)
% 0.58/0.86 [113]~E(a1,a2)
% 0.58/0.86 [114]~E(a1,a3)
% 0.58/0.86 [115]~E(a3,a2)
% 0.58/0.86 [116]~E(a1,a4)
% 0.58/0.86 [117]~E(a4,a2)
% 0.58/0.86 [118]~E(a4,a3)
% 0.58/0.86 [119]~E(a1,a5)
% 0.58/0.86 [120]~E(a5,a2)
% 0.58/0.86 [121]~E(a5,a3)
% 0.58/0.86 [122]~E(a5,a4)
% 0.58/0.86 [123]~E(a1,a6)
% 0.58/0.86 [124]~E(a6,a2)
% 0.58/0.86 [125]~E(a6,a3)
% 0.58/0.86 [126]~E(a6,a4)
% 0.58/0.86 [127]~E(a6,a5)
% 0.58/0.86 [128]~E(a1,a29)
% 0.58/0.86 [129]~E(a29,a2)
% 0.58/0.86 [130]~E(a29,a3)
% 0.58/0.86 [131]~E(a29,a4)
% 0.58/0.86 [132]~E(a29,a5)
% 0.58/0.86 [133]~E(a29,a6)
% 0.58/0.86 [134]~E(a1,a30)
% 0.58/0.86 [135]~E(a30,a2)
% 0.58/0.86 [136]~E(a30,a3)
% 0.58/0.86 [137]~E(a30,a4)
% 0.58/0.86 [138]~E(a30,a5)
% 0.58/0.86 [139]~E(a30,a6)
% 0.58/0.86 [140]~E(a30,a29)
% 0.58/0.86 [141]~E(a1,a33)
% 0.58/0.86 [142]~E(a33,a2)
% 0.58/0.86 [143]~E(a33,a3)
% 0.58/0.86 [144]~E(a33,a4)
% 0.58/0.86 [145]~E(a33,a5)
% 0.58/0.86 [146]~E(a33,a6)
% 0.58/0.86 [147]~E(a33,a29)
% 0.58/0.86 [148]~E(a33,a30)
% 0.58/0.86 [149]~E(a1,a35)
% 0.58/0.86 [150]~E(a35,a2)
% 0.58/0.86 [151]~E(a35,a3)
% 0.58/0.86 [152]~E(a35,a4)
% 0.58/0.86 [153]~E(a35,a5)
% 0.58/0.86 [154]~E(a35,a6)
% 0.58/0.86 [155]~E(a35,a29)
% 0.58/0.86 [156]~E(a35,a30)
% 0.58/0.86 [157]~E(a35,a33)
% 0.58/0.86 [158]~E(a1,a31)
% 0.58/0.86 [159]~E(a31,a2)
% 0.58/0.86 [160]~E(a31,a3)
% 0.58/0.86 [161]~E(a31,a4)
% 0.58/0.86 [162]~E(a31,a5)
% 0.58/0.86 [163]~E(a31,a6)
% 0.58/0.86 [164]~E(a31,a29)
% 0.58/0.86 [165]~E(a31,a30)
% 0.58/0.86 [166]~E(a33,a31)
% 0.58/0.86 [167]~E(a35,a31)
% 0.58/0.86 [168]~E(a1,a42)
% 0.58/0.86 [169]~E(a42,a2)
% 0.58/0.86 [170]~E(a42,a3)
% 0.58/0.86 [171]~E(a42,a4)
% 0.58/0.86 [172]~E(a42,a5)
% 0.58/0.86 [173]~E(a42,a6)
% 0.58/0.86 [174]~E(a42,a29)
% 0.58/0.86 [175]~E(a42,a30)
% 0.58/0.86 [176]~E(a42,a33)
% 0.58/0.86 [177]~E(a42,a35)
% 0.58/0.86 [178]~E(a42,a31)
% 0.58/0.86 [179]~P1(a42)
% 0.58/0.86 [94]P2(x941,x941)
% 0.58/0.86 [93]P1(f40(x931))
% 0.58/0.86 [99]P1(f43(a6,a29,f32(x991)))
% 0.58/0.86 [95]E(f7(f41(x951,x952)),x951)
% 0.58/0.86 [96]E(f24(f41(x961,x962)),x962)
% 0.58/0.86 [97]E(f9(f8(x971,x972),x972),x971)
% 0.58/0.86 [98]E(f20(f19(x981,x982),x982),x981)
% 0.58/0.86 [100]E(f10(f21(x1001,x1002,x1003)),f8(x1001,x1003))
% 0.58/0.86 [101]E(f16(f21(x1011,x1012,x1013),x1013),f41(x1011,x1012))
% 0.58/0.86 [102]E(f25(f44(x1021,x1022,x1023,x1024)),x1024)
% 0.58/0.86 [103]E(f26(f44(x1031,x1032,x1033,x1034)),x1033)
% 0.58/0.86 [104]E(f27(f44(x1041,x1042,x1043,x1044)),x1042)
% 0.58/0.86 [105]E(f28(f44(x1051,x1052,x1053,x1054)),x1051)
% 0.58/0.86 [106]E(f11(f22(x1061,x1062,x1063,x1064)),f8(x1061,x1064))
% 0.58/0.86 [107]E(f12(f22(x1071,x1072,x1073,x1074)),f21(x1071,x1072,x1074))
% 0.58/0.86 [108]E(f17(f22(x1081,x1082,x1083,x1084),x1084),f45(x1081,x1082,x1083))
% 0.58/0.86 [109]E(f13(f23(x1091,x1092,x1093,x1094,x1095)),f8(x1091,x1095))
% 0.58/0.86 [110]E(f14(f23(x1101,x1102,x1103,x1104,x1105)),f21(x1101,x1102,x1105))
% 0.58/0.86 [111]E(f15(f23(x1111,x1112,x1113,x1114,x1115)),f22(x1111,x1112,x1113,x1115))
% 0.58/0.86 [112]E(f18(f23(x1121,x1122,x1123,x1124,x1125),x1125),f44(x1121,x1122,x1123,x1124))
% 0.58/0.86 [180]~P1(x1801)+P1(f15(x1801))
% 0.58/0.86 [181]~P1(x1811)+P1(f14(x1811))
% 0.58/0.86 [182]~P1(x1821)+P1(f13(x1821))
% 0.58/0.86 [183]~P1(x1831)+P1(f12(x1831))
% 0.58/0.86 [184]~P1(x1841)+P1(f11(x1841))
% 0.58/0.86 [185]~P1(x1851)+P1(f10(x1851))
% 0.58/0.86 [186]~P1(x1861)+P1(f25(x1861))
% 0.58/0.86 [187]~P1(x1871)+P1(f26(x1871))
% 0.58/0.86 [188]~P1(x1881)+P1(f7(x1881))
% 0.58/0.86 [189]~P1(x1891)+P1(f27(x1891))
% 0.58/0.86 [190]~P1(x1901)+P1(f28(x1901))
% 0.58/0.86 [191]~P1(x1911)+P1(f24(x1911))
% 0.58/0.86 [192]~P1(x1921)+P1(f57(x1921))
% 0.58/0.86 [193]~P1(x1931)+P1(f58(x1931))
% 0.58/0.86 [194]~P1(x1941)+P1(f50(x1941))
% 0.58/0.86 [195]~P1(x1951)+P1(f51(x1951))
% 0.58/0.86 [196]~P1(x1961)+P1(f52(x1961))
% 0.58/0.86 [197]~P1(x1971)+P1(f53(x1971))
% 0.58/0.86 [198]~P1(x1981)+P1(f54(x1981))
% 0.58/0.86 [199]~P1(x1991)+P1(f55(x1991))
% 0.58/0.86 [200]~P1(x2001)+P1(f56(x2001))
% 0.58/0.86 [201]~P1(x2011)+P1(f46(x2011))
% 0.58/0.86 [202]~P1(x2021)+P1(f47(x2021))
% 0.58/0.86 [203]~P1(x2031)+P1(f48(x2031))
% 0.58/0.86 [204]~P1(x2041)+P1(f49(x2041))
% 0.58/0.86 [205]P1(x2051)+~P1(f57(x2051))
% 0.58/0.86 [206]P1(x2061)+~P1(f58(x2061))
% 0.58/0.86 [207]P1(x2071)+~P1(f50(x2071))
% 0.58/0.86 [208]P1(x2081)+~P1(f51(x2081))
% 0.58/0.86 [209]P1(x2091)+~P1(f52(x2091))
% 0.58/0.86 [210]P1(x2101)+~P1(f53(x2101))
% 0.58/0.86 [211]P1(x2111)+~P1(f54(x2111))
% 0.58/0.86 [212]P1(x2121)+~P1(f55(x2121))
% 0.58/0.86 [213]P1(x2131)+~P1(f56(x2131))
% 0.58/0.86 [214]P1(x2141)+~P1(f46(x2141))
% 0.58/0.86 [215]P1(x2151)+~P1(f47(x2151))
% 0.58/0.86 [216]P1(x2161)+~P1(f48(x2161))
% 0.58/0.86 [217]P1(x2171)+~P1(f49(x2171))
% 0.58/0.86 [231]~P1(f49(x2311))+P1(f56(f25(f18(x2311,a33))))
% 0.58/0.86 [228]P1(x2281)+~P1(f41(x2282,x2281))
% 0.58/0.86 [229]P1(x2291)+~P1(f41(x2291,x2292))
% 0.58/0.86 [245]~P1(f52(x2452))+P1(f50(f8(f36(x2451),f7(f16(x2452,a35)))))
% 0.58/0.86 [236]P1(x2361)+~P1(f45(x2362,x2363,x2361))
% 0.58/0.86 [237]P1(x2371)+~P1(f59(x2372,x2373,x2371))
% 0.58/0.86 [238]P1(x2381)+~P1(f43(x2382,x2383,x2381))
% 0.58/0.86 [239]P1(x2391)+~P1(f45(x2392,x2391,x2393))
% 0.58/0.86 [240]P1(x2401)+~P1(f59(x2402,x2401,x2403))
% 0.58/0.86 [241]P1(x2411)+~P1(f43(x2412,x2411,x2413))
% 0.58/0.86 [242]P1(x2421)+~P1(f45(x2421,x2422,x2423))
% 0.58/0.86 [243]P1(x2431)+~P1(f59(x2431,x2432,x2433))
% 0.58/0.86 [244]P1(x2441)+~P1(f43(x2441,x2442,x2443))
% 0.58/0.86 [249]P1(x2491)+~P1(f44(x2492,x2493,x2494,x2491))
% 0.58/0.86 [250]P1(x2501)+~P1(f44(x2502,x2503,x2501,x2504))
% 0.58/0.86 [251]P1(x2511)+~P1(f44(x2512,x2511,x2513,x2514))
% 0.58/0.86 [252]P1(x2521)+~P1(f44(x2521,x2522,x2523,x2524))
% 0.58/0.86 [255]~P1(f59(x2554,x2552,x2551))+P1(f58(f23(x2551,x2552,f34(x2553),f21(f34(x2553),x2554,a35),a33)))
% 0.58/0.86 [218]~P1(x2182)+~P1(x2181)+P3(x2181,x2182)
% 0.58/0.86 [219]~P3(x2192,x2191)+P1(x2191)+~P1(x2192)
% 0.58/0.86 [220]~P1(x2202)+~P1(x2201)+P1(f18(x2201,x2202))
% 0.58/0.86 [221]~P1(x2212)+~P1(x2211)+P1(f17(x2211,x2212))
% 0.58/0.86 [222]~P1(x2222)+~P1(x2221)+P1(f16(x2221,x2222))
% 0.58/0.86 [223]~P1(x2232)+~P1(x2231)+P1(f41(x2231,x2232))
% 0.58/0.86 [224]~P1(x2242)+~P1(x2241)+P1(f8(x2241,x2242))
% 0.58/0.86 [225]~P1(x2252)+~P1(x2251)+P1(f9(x2251,x2252))
% 0.58/0.86 [226]~P1(x2262)+~P1(x2261)+P1(f19(x2261,x2262))
% 0.58/0.86 [227]~P1(x2272)+~P1(x2271)+P1(f20(x2271,x2272))
% 0.58/0.86 [253]~P1(f48(x2531))+~P1(f49(x2532))+P1(f55(f8(f57(f9(x2531,f26(f18(x2532,a33)))),f26(f18(x2532,a33)))))
% 0.58/0.86 [232]~P1(x2323)+~P1(x2322)+~P1(x2321)+P1(f45(x2321,x2322,x2323))
% 0.58/0.86 [233]~P1(x2333)+~P1(x2332)+~P1(x2331)+P1(f21(x2331,x2332,x2333))
% 0.58/0.86 [234]~P1(x2343)+~P1(x2342)+~P1(x2341)+P1(f59(x2341,x2342,x2343))
% 0.58/0.86 [235]~P1(x2353)+~P1(x2352)+~P1(x2351)+P1(f43(x2351,x2352,x2353))
% 0.58/0.86 [248]~P1(f47(x2484))+~P1(f48(x2481))+~P1(f49(x2482))+P1(f54(f8(f37(x2481,x2482,x2483),f7(f16(x2484,a33)))))
% 0.58/0.86 [230]~P1(f46(x2301))+~P1(f47(x2302))+~P1(f48(x2303))+~P1(f49(x2304))+P1(f53(a42))
% 0.58/0.86 [246]~P1(x2464)+~P1(x2463)+~P1(x2462)+~P1(x2461)+P1(f44(x2461,x2462,x2463,x2464))
% 0.58/0.86 [247]~P1(x2474)+~P1(x2473)+~P1(x2472)+~P1(x2471)+P1(f22(x2471,x2472,x2473,x2474))
% 0.58/0.86 [254]~P1(x2545)+~P1(x2544)+~P1(x2543)+~P1(x2542)+~P1(x2541)+P1(f23(x2541,x2542,x2543,x2544,x2545))
% 0.58/0.86 %EqnAxiom
% 0.58/0.86 [1]E(x11,x11)
% 0.58/0.86 [2]E(x22,x21)+~E(x21,x22)
% 0.58/0.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/0.86 [4]~E(x41,x42)+E(f40(x41),f40(x42))
% 0.58/0.86 [5]~E(x51,x52)+E(f41(x51,x53),f41(x52,x53))
% 0.58/0.86 [6]~E(x61,x62)+E(f41(x63,x61),f41(x63,x62))
% 0.58/0.86 [7]~E(x71,x72)+E(f7(x71),f7(x72))
% 0.58/0.86 [8]~E(x81,x82)+E(f59(x81,x83,x84),f59(x82,x83,x84))
% 0.58/0.86 [9]~E(x91,x92)+E(f59(x93,x91,x94),f59(x93,x92,x94))
% 0.58/0.86 [10]~E(x101,x102)+E(f59(x103,x104,x101),f59(x103,x104,x102))
% 0.58/0.86 [11]~E(x111,x112)+E(f24(x111),f24(x112))
% 0.58/0.86 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 0.58/0.86 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 0.58/0.86 [14]~E(x141,x142)+E(f9(x141,x143),f9(x142,x143))
% 0.58/0.86 [15]~E(x151,x152)+E(f9(x153,x151),f9(x153,x152))
% 0.58/0.86 [16]~E(x161,x162)+E(f19(x161,x163),f19(x162,x163))
% 0.58/0.86 [17]~E(x171,x172)+E(f19(x173,x171),f19(x173,x172))
% 0.58/0.86 [18]~E(x181,x182)+E(f20(x181,x183),f20(x182,x183))
% 0.58/0.86 [19]~E(x191,x192)+E(f20(x193,x191),f20(x193,x192))
% 0.58/0.86 [20]~E(x201,x202)+E(f32(x201),f32(x202))
% 0.58/0.86 [21]~E(x211,x212)+E(f43(x211,x213,x214),f43(x212,x213,x214))
% 0.58/0.86 [22]~E(x221,x222)+E(f43(x223,x221,x224),f43(x223,x222,x224))
% 0.58/0.86 [23]~E(x231,x232)+E(f43(x233,x234,x231),f43(x233,x234,x232))
% 0.58/0.86 [24]~E(x241,x242)+E(f21(x241,x243,x244),f21(x242,x243,x244))
% 0.58/0.86 [25]~E(x251,x252)+E(f21(x253,x251,x254),f21(x253,x252,x254))
% 0.58/0.86 [26]~E(x261,x262)+E(f21(x263,x264,x261),f21(x263,x264,x262))
% 0.58/0.86 [27]~E(x271,x272)+E(f10(x271),f10(x272))
% 0.58/0.86 [28]~E(x281,x282)+E(f57(x281),f57(x282))
% 0.58/0.86 [29]~E(x291,x292)+E(f37(x291,x293,x294),f37(x292,x293,x294))
% 0.58/0.86 [30]~E(x301,x302)+E(f37(x303,x301,x304),f37(x303,x302,x304))
% 0.58/0.86 [31]~E(x311,x312)+E(f37(x313,x314,x311),f37(x313,x314,x312))
% 0.58/0.86 [32]~E(x321,x322)+E(f16(x321,x323),f16(x322,x323))
% 0.58/0.86 [33]~E(x331,x332)+E(f16(x333,x331),f16(x333,x332))
% 0.58/0.86 [34]~E(x341,x342)+E(f58(x341),f58(x342))
% 0.58/0.86 [35]~E(x351,x352)+E(f44(x351,x353,x354,x355),f44(x352,x353,x354,x355))
% 0.58/0.86 [36]~E(x361,x362)+E(f44(x363,x361,x364,x365),f44(x363,x362,x364,x365))
% 0.58/0.86 [37]~E(x371,x372)+E(f44(x373,x374,x371,x375),f44(x373,x374,x372,x375))
% 0.58/0.86 [38]~E(x381,x382)+E(f44(x383,x384,x385,x381),f44(x383,x384,x385,x382))
% 0.58/0.86 [39]~E(x391,x392)+E(f25(x391),f25(x392))
% 0.58/0.86 [40]~E(x401,x402)+E(f45(x401,x403,x404),f45(x402,x403,x404))
% 0.58/0.86 [41]~E(x411,x412)+E(f45(x413,x411,x414),f45(x413,x412,x414))
% 0.58/0.86 [42]~E(x421,x422)+E(f45(x423,x424,x421),f45(x423,x424,x422))
% 0.58/0.86 [43]~E(x431,x432)+E(f26(x431),f26(x432))
% 0.58/0.86 [44]~E(x441,x442)+E(f55(x441),f55(x442))
% 0.58/0.86 [45]~E(x451,x452)+E(f27(x451),f27(x452))
% 0.58/0.86 [46]~E(x461,x462)+E(f56(x461),f56(x462))
% 0.58/0.86 [47]~E(x471,x472)+E(f28(x471),f28(x472))
% 0.58/0.86 [48]~E(x481,x482)+E(f22(x481,x483,x484,x485),f22(x482,x483,x484,x485))
% 0.58/0.86 [49]~E(x491,x492)+E(f22(x493,x491,x494,x495),f22(x493,x492,x494,x495))
% 0.58/0.86 [50]~E(x501,x502)+E(f22(x503,x504,x501,x505),f22(x503,x504,x502,x505))
% 0.58/0.86 [51]~E(x511,x512)+E(f22(x513,x514,x515,x511),f22(x513,x514,x515,x512))
% 0.58/0.86 [52]~E(x521,x522)+E(f11(x521),f11(x522))
% 0.58/0.86 [53]~E(x531,x532)+E(f54(x531),f54(x532))
% 0.58/0.86 [54]~E(x541,x542)+E(f23(x541,x543,x544,x545,x546),f23(x542,x543,x544,x545,x546))
% 0.58/0.86 [55]~E(x551,x552)+E(f23(x553,x551,x554,x555,x556),f23(x553,x552,x554,x555,x556))
% 0.58/0.86 [56]~E(x561,x562)+E(f23(x563,x564,x561,x565,x566),f23(x563,x564,x562,x565,x566))
% 0.58/0.86 [57]~E(x571,x572)+E(f23(x573,x574,x575,x571,x576),f23(x573,x574,x575,x572,x576))
% 0.58/0.86 [58]~E(x581,x582)+E(f23(x583,x584,x585,x586,x581),f23(x583,x584,x585,x586,x582))
% 0.58/0.86 [59]~E(x591,x592)+E(f12(x591),f12(x592))
% 0.58/0.86 [60]~E(x601,x602)+E(f53(x601),f53(x602))
% 0.58/0.86 [61]~E(x611,x612)+E(f17(x611,x613),f17(x612,x613))
% 0.58/0.86 [62]~E(x621,x622)+E(f17(x623,x621),f17(x623,x622))
% 0.58/0.86 [63]~E(x631,x632)+E(f49(x631),f49(x632))
% 0.58/0.86 [64]~E(x641,x642)+E(f18(x641,x643),f18(x642,x643))
% 0.58/0.86 [65]~E(x651,x652)+E(f18(x653,x651),f18(x653,x652))
% 0.58/0.86 [66]~E(x661,x662)+E(f46(x661),f46(x662))
% 0.58/0.86 [67]~E(x671,x672)+E(f13(x671),f13(x672))
% 0.58/0.86 [68]~E(x681,x682)+E(f47(x681),f47(x682))
% 0.58/0.86 [69]~E(x691,x692)+E(f36(x691),f36(x692))
% 0.58/0.86 [70]~E(x701,x702)+E(f14(x701),f14(x702))
% 0.58/0.86 [71]~E(x711,x712)+E(f48(x711),f48(x712))
% 0.58/0.86 [72]~E(x721,x722)+E(f52(x721),f52(x722))
% 0.58/0.86 [73]~E(x731,x732)+E(f15(x731),f15(x732))
% 0.58/0.86 [74]~E(x741,x742)+E(f50(x741),f50(x742))
% 0.58/0.86 [75]~E(x751,x752)+E(f34(x751),f34(x752))
% 0.58/0.86 [76]~E(x761,x762)+E(f51(x761),f51(x762))
% 0.58/0.86 [77]~P1(x771)+P1(x772)+~E(x771,x772)
% 0.58/0.86 [78]P3(x782,x783)+~E(x781,x782)+~P3(x781,x783)
% 0.58/0.86 [79]P3(x793,x792)+~E(x791,x792)+~P3(x793,x791)
% 0.58/0.86 [80]P2(x802,x803)+~E(x801,x802)+~P2(x801,x803)
% 0.58/0.86 [81]P2(x813,x812)+~E(x811,x812)+~P2(x813,x811)
% 0.58/0.86
% 0.58/0.86 %-------------------------------------------
% 0.58/0.86 cnf(262,plain,
% 0.58/0.86 (E(f9(f8(x2621,x2622),x2622),x2621)),
% 0.58/0.86 inference(rename_variables,[],[97])).
% 0.58/0.86 cnf(264,plain,
% 0.58/0.86 (E(f9(f8(x2641,x2642),x2642),x2641)),
% 0.58/0.86 inference(rename_variables,[],[97])).
% 0.58/0.86 cnf(480,plain,
% 0.58/0.86 ($false),
% 0.58/0.86 inference(scs_inference,[],[179,94,82,113,97,262,264,98,99,2,238,81,80,77,3,219,225,252,251,250,249,244,243,242,241,240,239,237,236,229,228,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,245,231,79,78,218,227,226,224,223,222,221,220,253,235,234,233,232,248,230]),
% 0.58/0.86 ['proof']).
% 0.58/0.86 % SZS output end Proof
% 0.58/0.86 % Total time :0.180000s
%------------------------------------------------------------------------------