%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWW965+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:08:50 AM UTC 2026
% Result : Theorem 150.31s 160.89s
% Output : Proof 150.98s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(ax0,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('theBenchmark.p',ax0) ).
fof(ax1,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('theBenchmark.p',ax1) ).
fof(ax2,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('theBenchmark.p',ax2) ).
fof(ax3,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('theBenchmark.p',ax3) ).
fof(ax4,axiom,
constr_CONST_0x30 != constr_ZERO,
file('theBenchmark.p',ax4) ).
fof(ax5,axiom,
constr_CONST_0x30 != name_A,
file('theBenchmark.p',ax5) ).
fof(ax6,axiom,
constr_CONST_0x30 != name_B,
file('theBenchmark.p',ax6) ).
fof(ax7,axiom,
constr_CONST_0x30 != name_I,
file('theBenchmark.p',ax7) ).
fof(ax8,axiom,
constr_CONST_0x30 != name_c,
file('theBenchmark.p',ax8) ).
fof(ax9,axiom,
constr_CONST_0x30 != name_objective,
file('theBenchmark.p',ax9) ).
fof(ax10,axiom,
constr_CONST_0x30 != name_skA,
file('theBenchmark.p',ax10) ).
fof(ax11,axiom,
constr_CONST_0x30 != name_skB,
file('theBenchmark.p',ax11) ).
fof(ax12,axiom,
constr_CONST_0x30 != name_skS,
file('theBenchmark.p',ax12) ).
fof(ax13,axiom,
constr_CONST_1 != constr_CONST_2,
file('theBenchmark.p',ax13) ).
fof(ax14,axiom,
constr_CONST_1 != constr_CONST_3,
file('theBenchmark.p',ax14) ).
fof(ax15,axiom,
constr_CONST_1 != constr_CONST_4,
file('theBenchmark.p',ax15) ).
fof(ax16,axiom,
constr_CONST_1 != constr_ZERO,
file('theBenchmark.p',ax16) ).
fof(ax17,axiom,
constr_CONST_1 != name_A,
file('theBenchmark.p',ax17) ).
fof(ax18,axiom,
constr_CONST_1 != name_B,
file('theBenchmark.p',ax18) ).
fof(ax19,axiom,
constr_CONST_1 != name_I,
file('theBenchmark.p',ax19) ).
fof(ax20,axiom,
constr_CONST_1 != name_c,
file('theBenchmark.p',ax20) ).
fof(ax21,axiom,
constr_CONST_1 != name_objective,
file('theBenchmark.p',ax21) ).
fof(ax22,axiom,
constr_CONST_1 != name_skA,
file('theBenchmark.p',ax22) ).
fof(ax23,axiom,
constr_CONST_1 != name_skB,
file('theBenchmark.p',ax23) ).
fof(ax24,axiom,
constr_CONST_1 != name_skS,
file('theBenchmark.p',ax24) ).
fof(ax25,axiom,
constr_CONST_2 != constr_CONST_3,
file('theBenchmark.p',ax25) ).
fof(ax26,axiom,
constr_CONST_2 != constr_CONST_4,
file('theBenchmark.p',ax26) ).
fof(ax27,axiom,
constr_CONST_2 != constr_ZERO,
file('theBenchmark.p',ax27) ).
fof(ax28,axiom,
constr_CONST_2 != name_A,
file('theBenchmark.p',ax28) ).
fof(ax29,axiom,
constr_CONST_2 != name_B,
file('theBenchmark.p',ax29) ).
fof(ax30,axiom,
constr_CONST_2 != name_I,
file('theBenchmark.p',ax30) ).
fof(ax31,axiom,
constr_CONST_2 != name_c,
file('theBenchmark.p',ax31) ).
fof(ax32,axiom,
constr_CONST_2 != name_objective,
file('theBenchmark.p',ax32) ).
fof(ax33,axiom,
constr_CONST_2 != name_skA,
file('theBenchmark.p',ax33) ).
fof(ax34,axiom,
constr_CONST_2 != name_skB,
file('theBenchmark.p',ax34) ).
fof(ax35,axiom,
constr_CONST_2 != name_skS,
file('theBenchmark.p',ax35) ).
fof(ax36,axiom,
constr_CONST_3 != constr_CONST_4,
file('theBenchmark.p',ax36) ).
fof(ax37,axiom,
constr_CONST_3 != constr_ZERO,
file('theBenchmark.p',ax37) ).
fof(ax38,axiom,
constr_CONST_3 != name_A,
file('theBenchmark.p',ax38) ).
fof(ax39,axiom,
constr_CONST_3 != name_B,
file('theBenchmark.p',ax39) ).
fof(ax40,axiom,
constr_CONST_3 != name_I,
file('theBenchmark.p',ax40) ).
fof(ax41,axiom,
constr_CONST_3 != name_c,
file('theBenchmark.p',ax41) ).
fof(ax42,axiom,
constr_CONST_3 != name_objective,
file('theBenchmark.p',ax42) ).
fof(ax43,axiom,
constr_CONST_3 != name_skA,
file('theBenchmark.p',ax43) ).
fof(ax44,axiom,
constr_CONST_3 != name_skB,
file('theBenchmark.p',ax44) ).
fof(ax45,axiom,
constr_CONST_3 != name_skS,
file('theBenchmark.p',ax45) ).
fof(ax46,axiom,
constr_CONST_4 != constr_ZERO,
file('theBenchmark.p',ax46) ).
fof(ax47,axiom,
constr_CONST_4 != name_A,
file('theBenchmark.p',ax47) ).
fof(ax48,axiom,
constr_CONST_4 != name_B,
file('theBenchmark.p',ax48) ).
fof(ax49,axiom,
constr_CONST_4 != name_I,
file('theBenchmark.p',ax49) ).
fof(ax50,axiom,
constr_CONST_4 != name_c,
file('theBenchmark.p',ax50) ).
fof(ax51,axiom,
constr_CONST_4 != name_objective,
file('theBenchmark.p',ax51) ).
fof(ax52,axiom,
constr_CONST_4 != name_skA,
file('theBenchmark.p',ax52) ).
fof(ax53,axiom,
constr_CONST_4 != name_skB,
file('theBenchmark.p',ax53) ).
fof(ax54,axiom,
constr_CONST_4 != name_skS,
file('theBenchmark.p',ax54) ).
fof(ax55,axiom,
constr_ZERO != name_A,
file('theBenchmark.p',ax55) ).
fof(ax56,axiom,
constr_ZERO != name_B,
file('theBenchmark.p',ax56) ).
fof(ax57,axiom,
constr_ZERO != name_I,
file('theBenchmark.p',ax57) ).
fof(ax58,axiom,
constr_ZERO != name_c,
file('theBenchmark.p',ax58) ).
fof(ax59,axiom,
constr_ZERO != name_objective,
file('theBenchmark.p',ax59) ).
fof(ax60,axiom,
constr_ZERO != name_skA,
file('theBenchmark.p',ax60) ).
fof(ax61,axiom,
constr_ZERO != name_skB,
file('theBenchmark.p',ax61) ).
fof(ax62,axiom,
constr_ZERO != name_skS,
file('theBenchmark.p',ax62) ).
fof(ax63,axiom,
name_A != name_B,
file('theBenchmark.p',ax63) ).
fof(ax64,axiom,
name_A != name_I,
file('theBenchmark.p',ax64) ).
fof(ax65,axiom,
name_A != name_c,
file('theBenchmark.p',ax65) ).
fof(ax66,axiom,
name_A != name_objective,
file('theBenchmark.p',ax66) ).
fof(ax67,axiom,
name_A != name_skA,
file('theBenchmark.p',ax67) ).
fof(ax68,axiom,
name_A != name_skB,
file('theBenchmark.p',ax68) ).
fof(ax69,axiom,
name_A != name_skS,
file('theBenchmark.p',ax69) ).
fof(ax70,axiom,
name_B != name_I,
file('theBenchmark.p',ax70) ).
fof(ax71,axiom,
name_B != name_c,
file('theBenchmark.p',ax71) ).
fof(ax72,axiom,
name_B != name_objective,
file('theBenchmark.p',ax72) ).
fof(ax73,axiom,
name_B != name_skA,
file('theBenchmark.p',ax73) ).
fof(ax74,axiom,
name_B != name_skB,
file('theBenchmark.p',ax74) ).
fof(ax75,axiom,
name_B != name_skS,
file('theBenchmark.p',ax75) ).
fof(ax76,axiom,
name_I != name_c,
file('theBenchmark.p',ax76) ).
fof(ax77,axiom,
name_I != name_objective,
file('theBenchmark.p',ax77) ).
fof(ax78,axiom,
name_I != name_skA,
file('theBenchmark.p',ax78) ).
fof(ax79,axiom,
name_I != name_skB,
file('theBenchmark.p',ax79) ).
fof(ax80,axiom,
name_I != name_skS,
file('theBenchmark.p',ax80) ).
fof(ax81,axiom,
name_c != name_objective,
file('theBenchmark.p',ax81) ).
fof(ax82,axiom,
name_c != name_skA,
file('theBenchmark.p',ax82) ).
fof(ax83,axiom,
name_c != name_skB,
file('theBenchmark.p',ax83) ).
fof(ax84,axiom,
name_c != name_skS,
file('theBenchmark.p',ax84) ).
fof(ax85,axiom,
name_objective != name_skA,
file('theBenchmark.p',ax85) ).
fof(ax86,axiom,
name_objective != name_skB,
file('theBenchmark.p',ax86) ).
fof(ax87,axiom,
name_objective != name_skS,
file('theBenchmark.p',ax87) ).
fof(ax88,axiom,
name_skA != name_skB,
file('theBenchmark.p',ax88) ).
fof(ax89,axiom,
name_skA != name_skS,
file('theBenchmark.p',ax89) ).
fof(ax90,axiom,
name_skB != name_skS,
file('theBenchmark.p',ax90) ).
fof(ax91,axiom,
! [VAR_K_24,VAR_M_23] : constr_adec(constr_aenc(VAR_M_23,constr_pkey(VAR_K_24)),VAR_K_24) = VAR_M_23,
file('theBenchmark.p',ax91) ).
fof(ax92,axiom,
! [VAR_K_22,VAR_M_21] : constr_dec(constr_enc(VAR_M_21,VAR_K_22),VAR_K_22) = VAR_M_21,
file('theBenchmark.p',ax92) ).
fof(ax93,axiom,
! [VAR_K_20X30,VAR_M_19] : constr_getmess(constr_sign(VAR_M_19,VAR_K_20X30)) = VAR_M_19,
file('theBenchmark.p',ax93) ).
fof(ax94,axiom,
! [VAR_K_0X30,VAR_M_0X30] : constr_checksign(constr_sign(VAR_M_0X30,VAR_K_0X30),constr_pkey(VAR_K_0X30)) = VAR_M_0X30,
file('theBenchmark.p',ax94) ).
fof(ax95,axiom,
! [VAR_X_18] : constr_xor(VAR_X_18,VAR_X_18) = constr_ZERO,
file('theBenchmark.p',ax95) ).
fof(ax96,axiom,
! [VAR_X_17] : constr_xor(VAR_X_17,constr_ZERO) = VAR_X_17,
file('theBenchmark.p',ax96) ).
fof(ax97,axiom,
! [VAR_X_15,VAR_Y_16] : constr_xor(VAR_X_15,VAR_Y_16) = constr_xor(VAR_Y_16,VAR_X_15),
file('theBenchmark.p',ax97) ).
fof(ax98,axiom,
! [VAR_X_13,VAR_Y_14,VAR_Z_0X30] : constr_xor(VAR_X_13,constr_xor(VAR_Y_14,VAR_Z_0X30)) = constr_xor(constr_xor(VAR_X_13,VAR_Y_14),VAR_Z_0X30),
file('theBenchmark.p',ax98) ).
fof(ax99,axiom,
! [VAR_X0X30_11,VAR_X1_12] : constr_tuple_2_get_1_bitstring(tuple_2(VAR_X0X30_11,VAR_X1_12)) = VAR_X1_12,
file('theBenchmark.p',ax99) ).
fof(ax100,axiom,
! [VAR_X0X30_9,VAR_X1_10X30] : constr_tuple_2_get_0x30_bitstring(tuple_2(VAR_X0X30_9,VAR_X1_10X30)) = VAR_X0X30_9,
file('theBenchmark.p',ax100) ).
fof(ax101,axiom,
! [VAR_X0X30_7,VAR_X1_8] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_7,VAR_X1_8)) = VAR_X1_8,
file('theBenchmark.p',ax101) ).
fof(ax102,axiom,
! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_0x30(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X0X30_0X30,
file('theBenchmark.p',ax102) ).
fof(ax103,axiom,
! [VAR_X_41,VAR_Y_42] : pred_eq_bitstring_bitstring(VAR_X_41,VAR_Y_42),
file('theBenchmark.p',ax103) ).
fof(ax104,axiom,
! [VAR_V_49,VAR_V_50X30] :
( ( pred_attacker(VAR_V_50X30)
& pred_attacker(VAR_V_49) )
=> pred_attacker(constr_xor(VAR_V_49,VAR_V_50X30)) ),
file('theBenchmark.p',ax104) ).
fof(ax105,axiom,
! [VAR_V_52] :
( pred_attacker(VAR_V_52)
=> pred_attacker(constr_tuple_2_get_1_bitstring(VAR_V_52)) ),
file('theBenchmark.p',ax105) ).
fof(ax106,axiom,
! [VAR_V_54] :
( pred_attacker(VAR_V_54)
=> pred_attacker(constr_tuple_2_get_1(VAR_V_54)) ),
file('theBenchmark.p',ax106) ).
fof(ax107,axiom,
! [VAR_V_56] :
( pred_attacker(VAR_V_56)
=> pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_56)) ),
file('theBenchmark.p',ax107) ).
fof(ax108,axiom,
! [VAR_V_58] :
( pred_attacker(VAR_V_58)
=> pred_attacker(constr_tuple_2_get_0x30(VAR_V_58)) ),
file('theBenchmark.p',ax108) ).
fof(ax109,axiom,
pred_attacker(tuple_true),
file('theBenchmark.p',ax109) ).
fof(ax110,axiom,
! [VAR_V_61,VAR_V_62] :
( ( pred_attacker(VAR_V_62)
& pred_attacker(VAR_V_61) )
=> pred_attacker(constr_sign(VAR_V_61,VAR_V_62)) ),
file('theBenchmark.p',ax110) ).
fof(ax111,axiom,
! [VAR_V_64] :
( pred_attacker(VAR_V_64)
=> pred_attacker(constr_pkey(VAR_V_64)) ),
file('theBenchmark.p',ax111) ).
fof(ax112,axiom,
! [VAR_V_66] :
( pred_attacker(VAR_V_66)
=> pred_attacker(tuple_out_3(VAR_V_66)) ),
file('theBenchmark.p',ax112) ).
fof(ax113,axiom,
! [VAR_V_69] :
( pred_attacker(tuple_out_3(VAR_V_69))
=> pred_attacker(VAR_V_69) ),
file('theBenchmark.p',ax113) ).
fof(ax114,axiom,
! [VAR_V_72] :
( pred_attacker(VAR_V_72)
=> pred_attacker(tuple_out_2(VAR_V_72)) ),
file('theBenchmark.p',ax114) ).
fof(ax115,axiom,
! [VAR_V_75] :
( pred_attacker(tuple_out_2(VAR_V_75))
=> pred_attacker(VAR_V_75) ),
file('theBenchmark.p',ax115) ).
fof(ax116,axiom,
! [VAR_V_78] :
( pred_attacker(VAR_V_78)
=> pred_attacker(tuple_out_1(VAR_V_78)) ),
file('theBenchmark.p',ax116) ).
fof(ax117,axiom,
! [VAR_V_81] :
( pred_attacker(tuple_out_1(VAR_V_81))
=> pred_attacker(VAR_V_81) ),
file('theBenchmark.p',ax117) ).
fof(ax118,axiom,
! [VAR_V_85] :
( pred_attacker(VAR_V_85)
=> pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_85)) ),
file('theBenchmark.p',ax118) ).
fof(ax119,axiom,
! [VAR_V_88] :
( pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_88))
=> pred_attacker(VAR_V_88) ),
file('theBenchmark.p',ax119) ).
fof(ax120,axiom,
! [VAR_V_92,VAR_V_93] :
( ( pred_attacker(VAR_V_93)
& pred_attacker(VAR_V_92) )
=> pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_92,VAR_V_93)) ),
file('theBenchmark.p',ax120) ).
fof(ax121,axiom,
! [VAR_V_10X300X30,VAR_V_10X301] :
( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_10X300X30,VAR_V_10X301))
=> pred_attacker(VAR_V_10X300X30) ),
file('theBenchmark.p',ax121) ).
fof(ax122,axiom,
! [VAR_V_10X303,VAR_V_10X304] :
( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_10X303,VAR_V_10X304))
=> pred_attacker(VAR_V_10X304) ),
file('theBenchmark.p',ax122) ).
fof(ax123,axiom,
! [VAR_V_10X308,VAR_V_10X309] :
( ( pred_attacker(VAR_V_10X309)
& pred_attacker(VAR_V_10X308) )
=> pred_attacker(tuple_key_register_server_in_1(VAR_V_10X308,VAR_V_10X309)) ),
file('theBenchmark.p',ax123) ).
fof(ax124,axiom,
! [VAR_V_116,VAR_V_117] :
( pred_attacker(tuple_key_register_server_in_1(VAR_V_116,VAR_V_117))
=> pred_attacker(VAR_V_116) ),
file('theBenchmark.p',ax124) ).
fof(ax125,axiom,
! [VAR_V_119,VAR_V_120X30] :
( pred_attacker(tuple_key_register_server_in_1(VAR_V_119,VAR_V_120X30))
=> pred_attacker(VAR_V_120X30) ),
file('theBenchmark.p',ax125) ).
fof(ax126,axiom,
! [VAR_V_123] :
( pred_attacker(VAR_V_123)
=> pred_attacker(constr_getmess(VAR_V_123)) ),
file('theBenchmark.p',ax126) ).
fof(ax127,axiom,
pred_attacker(tuple_false),
file('theBenchmark.p',ax127) ).
fof(ax128,axiom,
! [VAR_V_126,VAR_V_127] :
( ( pred_attacker(VAR_V_127)
& pred_attacker(VAR_V_126) )
=> pred_attacker(constr_enc(VAR_V_126,VAR_V_127)) ),
file('theBenchmark.p',ax128) ).
fof(ax129,axiom,
! [VAR_V_130X30,VAR_V_131] :
( ( pred_attacker(VAR_V_131)
& pred_attacker(VAR_V_130X30) )
=> pred_attacker(constr_dec(VAR_V_130X30,VAR_V_131)) ),
file('theBenchmark.p',ax129) ).
fof(ax130,axiom,
! [VAR_V_133] :
( pred_attacker(VAR_V_133)
=> pred_attacker(tuple_client_B_out_6(VAR_V_133)) ),
file('theBenchmark.p',ax130) ).
fof(ax131,axiom,
! [VAR_V_136] :
( pred_attacker(tuple_client_B_out_6(VAR_V_136))
=> pred_attacker(VAR_V_136) ),
file('theBenchmark.p',ax131) ).
fof(ax132,axiom,
! [VAR_V_139] :
( pred_attacker(VAR_V_139)
=> pred_attacker(tuple_client_B_out_4(VAR_V_139)) ),
file('theBenchmark.p',ax132) ).
fof(ax133,axiom,
! [VAR_V_142] :
( pred_attacker(tuple_client_B_out_4(VAR_V_142))
=> pred_attacker(VAR_V_142) ),
file('theBenchmark.p',ax133) ).
fof(ax134,axiom,
! [VAR_V_146,VAR_V_147] :
( ( pred_attacker(VAR_V_147)
& pred_attacker(VAR_V_146) )
=> pred_attacker(tuple_client_B_out_1(VAR_V_146,VAR_V_147)) ),
file('theBenchmark.p',ax134) ).
fof(ax135,axiom,
! [VAR_V_154,VAR_V_155] :
( pred_attacker(tuple_client_B_out_1(VAR_V_154,VAR_V_155))
=> pred_attacker(VAR_V_154) ),
file('theBenchmark.p',ax135) ).
fof(ax136,axiom,
! [VAR_V_157,VAR_V_158] :
( pred_attacker(tuple_client_B_out_1(VAR_V_157,VAR_V_158))
=> pred_attacker(VAR_V_158) ),
file('theBenchmark.p',ax136) ).
fof(ax137,axiom,
! [VAR_V_161] :
( pred_attacker(VAR_V_161)
=> pred_attacker(tuple_client_B_in_5(VAR_V_161)) ),
file('theBenchmark.p',ax137) ).
fof(ax138,axiom,
! [VAR_V_164] :
( pred_attacker(tuple_client_B_in_5(VAR_V_164))
=> pred_attacker(VAR_V_164) ),
file('theBenchmark.p',ax138) ).
fof(ax139,axiom,
! [VAR_V_167] :
( pred_attacker(VAR_V_167)
=> pred_attacker(tuple_client_B_in_3(VAR_V_167)) ),
file('theBenchmark.p',ax139) ).
fof(ax140,axiom,
! [VAR_V_170X30] :
( pred_attacker(tuple_client_B_in_3(VAR_V_170X30))
=> pred_attacker(VAR_V_170X30) ),
file('theBenchmark.p',ax140) ).
fof(ax141,axiom,
! [VAR_V_173] :
( pred_attacker(VAR_V_173)
=> pred_attacker(tuple_client_B_in_2(VAR_V_173)) ),
file('theBenchmark.p',ax141) ).
fof(ax142,axiom,
! [VAR_V_176] :
( pred_attacker(tuple_client_B_in_2(VAR_V_176))
=> pred_attacker(VAR_V_176) ),
file('theBenchmark.p',ax142) ).
fof(ax143,axiom,
! [VAR_V_179] :
( pred_attacker(VAR_V_179)
=> pred_attacker(tuple_client_A_out_5(VAR_V_179)) ),
file('theBenchmark.p',ax143) ).
fof(ax144,axiom,
! [VAR_V_182] :
( pred_attacker(tuple_client_A_out_5(VAR_V_182))
=> pred_attacker(VAR_V_182) ),
file('theBenchmark.p',ax144) ).
fof(ax145,axiom,
! [VAR_V_185] :
( pred_attacker(VAR_V_185)
=> pred_attacker(tuple_client_A_out_3(VAR_V_185)) ),
file('theBenchmark.p',ax145) ).
fof(ax146,axiom,
! [VAR_V_188] :
( pred_attacker(tuple_client_A_out_3(VAR_V_188))
=> pred_attacker(VAR_V_188) ),
file('theBenchmark.p',ax146) ).
fof(ax147,axiom,
! [VAR_V_192,VAR_V_193] :
( ( pred_attacker(VAR_V_193)
& pred_attacker(VAR_V_192) )
=> pred_attacker(tuple_client_A_out_1(VAR_V_192,VAR_V_193)) ),
file('theBenchmark.p',ax147) ).
fof(ax148,axiom,
! [VAR_V_20X300X30,VAR_V_20X301] :
( pred_attacker(tuple_client_A_out_1(VAR_V_20X300X30,VAR_V_20X301))
=> pred_attacker(VAR_V_20X300X30) ),
file('theBenchmark.p',ax148) ).
fof(ax149,axiom,
! [VAR_V_20X303,VAR_V_20X304] :
( pred_attacker(tuple_client_A_out_1(VAR_V_20X303,VAR_V_20X304))
=> pred_attacker(VAR_V_20X304) ),
file('theBenchmark.p',ax149) ).
fof(ax150,axiom,
! [VAR_V_20X307] :
( pred_attacker(VAR_V_20X307)
=> pred_attacker(tuple_client_A_in_4(VAR_V_20X307)) ),
file('theBenchmark.p',ax150) ).
fof(ax151,axiom,
! [VAR_V_210X30] :
( pred_attacker(tuple_client_A_in_4(VAR_V_210X30))
=> pred_attacker(VAR_V_210X30) ),
file('theBenchmark.p',ax151) ).
fof(ax152,axiom,
! [VAR_V_213] :
( pred_attacker(VAR_V_213)
=> pred_attacker(tuple_client_A_in_2(VAR_V_213)) ),
file('theBenchmark.p',ax152) ).
fof(ax153,axiom,
! [VAR_V_216] :
( pred_attacker(tuple_client_A_in_2(VAR_V_216))
=> pred_attacker(VAR_V_216) ),
file('theBenchmark.p',ax153) ).
fof(ax154,axiom,
! [VAR_V_220X30,VAR_V_221] :
( ( pred_attacker(VAR_V_221)
& pred_attacker(VAR_V_220X30) )
=> pred_attacker(constr_checksign(VAR_V_220X30,VAR_V_221)) ),
file('theBenchmark.p',ax154) ).
fof(ax155,axiom,
! [VAR_V_224,VAR_V_225] :
( ( pred_attacker(VAR_V_225)
& pred_attacker(VAR_V_224) )
=> pred_attacker(constr_aenc(VAR_V_224,VAR_V_225)) ),
file('theBenchmark.p',ax155) ).
fof(ax156,axiom,
! [VAR_V_228,VAR_V_229] :
( ( pred_attacker(VAR_V_229)
& pred_attacker(VAR_V_228) )
=> pred_attacker(constr_adec(VAR_V_228,VAR_V_229)) ),
file('theBenchmark.p',ax156) ).
fof(ax157,axiom,
pred_attacker(constr_ZERO),
file('theBenchmark.p',ax157) ).
fof(ax158,axiom,
pred_attacker(constr_CONST_4),
file('theBenchmark.p',ax158) ).
fof(ax159,axiom,
pred_attacker(constr_CONST_3),
file('theBenchmark.p',ax159) ).
fof(ax160,axiom,
pred_attacker(constr_CONST_2),
file('theBenchmark.p',ax160) ).
fof(ax161,axiom,
pred_attacker(constr_CONST_1),
file('theBenchmark.p',ax161) ).
fof(ax162,axiom,
pred_attacker(constr_CONST_0x30),
file('theBenchmark.p',ax162) ).
fof(ax163,axiom,
! [VAR_V_236,VAR_V_237] :
( ( pred_attacker(VAR_V_237)
& pred_attacker(VAR_V_236) )
=> pred_attacker(tuple_2(VAR_V_236,VAR_V_237)) ),
file('theBenchmark.p',ax163) ).
fof(ax164,axiom,
! [VAR_V_244,VAR_V_245] :
( pred_attacker(tuple_2(VAR_V_244,VAR_V_245))
=> pred_attacker(VAR_V_244) ),
file('theBenchmark.p',ax164) ).
fof(ax165,axiom,
! [VAR_V_247,VAR_V_248] :
( pred_attacker(tuple_2(VAR_V_247,VAR_V_248))
=> pred_attacker(VAR_V_248) ),
file('theBenchmark.p',ax165) ).
fof(ax166,axiom,
! [VAR_V_250X30,VAR_V_251] :
( ( pred_attacker(VAR_V_251)
& pred_mess(VAR_V_251,VAR_V_250X30) )
=> pred_attacker(VAR_V_250X30) ),
file('theBenchmark.p',ax166) ).
fof(ax167,axiom,
! [VAR_V_252,VAR_V_253] :
( ( pred_attacker(VAR_V_252)
& pred_attacker(VAR_V_253) )
=> pred_mess(VAR_V_253,VAR_V_252) ),
file('theBenchmark.p',ax167) ).
fof(ax168,axiom,
pred_attacker(name_c),
file('theBenchmark.p',ax168) ).
fof(ax169,axiom,
pred_attacker(name_I),
file('theBenchmark.p',ax169) ).
fof(ax170,axiom,
pred_attacker(name_B),
file('theBenchmark.p',ax170) ).
fof(ax171,axiom,
pred_attacker(name_A),
file('theBenchmark.p',ax171) ).
fof(ax172,axiom,
! [VAR_V_255] : pred_equal(VAR_V_255,VAR_V_255),
file('theBenchmark.p',ax172) ).
fof(ax173,axiom,
! [VAR_V_256] : pred_attacker(name_new0x2Dname(VAR_V_256)),
file('theBenchmark.p',ax173) ).
fof(ax174,axiom,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
file('theBenchmark.p',ax174) ).
fof(ax175,axiom,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))),
file('theBenchmark.p',ax175) ).
fof(ax176,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
file('theBenchmark.p',ax176) ).
fof(ax177,axiom,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
file('theBenchmark.p',ax177) ).
fof(ax178,axiom,
pred_attacker(tuple_out_3(constr_pkey(name_skS))),
file('theBenchmark.p',ax178) ).
fof(ax179,axiom,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
file('theBenchmark.p',ax179) ).
fof(ax180,axiom,
! [VAR_0X40SID_376,VAR_SIGN_I_PKI_375] :
( ( pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_375))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_375,constr_pkey(name_skS)))) )
=> pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(VAR_0X40SID_376),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_375,constr_pkey(name_skS)))))) ),
file('theBenchmark.p',ax180) ).
fof(ax181,axiom,
! [VAR_0X40SID_435,VAR_AENC_NA_XOR_I_NI_434,VAR_SIGN_I_PKI_436] :
( ( pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_436))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_436,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_4(VAR_AENC_NA_XOR_I_NI_434))
& pred_eq_bitstring_bitstring(name_I,constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_XOR_I_NI_434,name_skA)),name_Na(VAR_0X40SID_435))) )
=> pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(VAR_AENC_NA_XOR_I_NI_434,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_436,constr_pkey(name_skS)))))) ),
file('theBenchmark.p',ax181) ).
fof(ax182,axiom,
pred_attacker(tuple_client_B_out_1(name_B,name_A)),
file('theBenchmark.p',ax182) ).
fof(ax183,axiom,
! [VAR_0X40SID_553,VAR_AENC_NA_A_551,VAR_SIGN_A_PKA_552] :
( ( pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_552))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_552,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_551))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_551,name_skB))) )
=> pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_A_551,name_skB)),name_B),name_Nb(VAR_0X40SID_553)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_A_PKA_552,constr_pkey(name_skS)))))) ),
file('theBenchmark.p',ax183) ).
fof(ax184,axiom,
! [VAR_0X40SID_577,VAR_AENC_NA_A_579,VAR_AENC_NB_578,VAR_SIGN_A_PKA_580X30] :
( ( pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579,name_skB)))
& pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))
& pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577),constr_adec(VAR_AENC_NB_578,name_skB)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('theBenchmark.p',ax184) ).
fof(ax185,axiom,
! [VAR_DST_619,VAR_PKDST_620X30,VAR_SRC_621] :
( ( pred_attacker(tuple_key_retrieval_server_in_1(VAR_SRC_621,VAR_DST_619))
& pred_table(tuple_keys(VAR_DST_619,VAR_PKDST_620X30)) )
=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(VAR_DST_619,VAR_PKDST_620X30),name_skS))) ),
file('theBenchmark.p',ax185) ).
fof(ax186,axiom,
! [VAR_HOST_673,VAR_PK_674] :
( ( pred_attacker(tuple_key_register_server_in_1(VAR_HOST_673,VAR_PK_674))
& VAR_HOST_673 != name_A
& VAR_HOST_673 != name_B )
=> pred_table(tuple_keys(VAR_HOST_673,VAR_PK_674)) ),
file('theBenchmark.p',ax186) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('theBenchmark.p',co0) ).
fof(f_1_1,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(fof_nnf,[status(thm)],[ax0]) ).
fof(f_1_2,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(definitional_conversion,[status(esa)],[f_1_1]) ).
cnf(f_1_3,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(fof_nnf,[status(thm)],[ax1]) ).
fof(f_2_2,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(definitional_conversion,[status(esa)],[f_2_1]) ).
cnf(f_2_3,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(fof_nnf,[status(thm)],[ax2]) ).
fof(f_3_2,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(definitional_conversion,[status(esa)],[f_3_1]) ).
cnf(f_3_3,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(fof_nnf,[status(thm)],[ax3]) ).
fof(f_4_2,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(definitional_conversion,[status(esa)],[f_4_1]) ).
cnf(f_4_3,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
constr_CONST_0x30 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax4]) ).
fof(f_5_2,plain,
constr_CONST_0x30 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_5_1]) ).
cnf(f_5_3,plain,
constr_CONST_0x30 != constr_ZERO,
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
constr_CONST_0x30 != name_A,
inference(fof_nnf,[status(thm)],[ax5]) ).
fof(f_6_2,plain,
constr_CONST_0x30 != name_A,
inference(definitional_conversion,[status(esa)],[f_6_1]) ).
cnf(f_6_3,plain,
constr_CONST_0x30 != name_A,
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
constr_CONST_0x30 != name_B,
inference(fof_nnf,[status(thm)],[ax6]) ).
fof(f_7_2,plain,
constr_CONST_0x30 != name_B,
inference(definitional_conversion,[status(esa)],[f_7_1]) ).
cnf(f_7_3,plain,
constr_CONST_0x30 != name_B,
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
constr_CONST_0x30 != name_I,
inference(fof_nnf,[status(thm)],[ax7]) ).
fof(f_8_2,plain,
constr_CONST_0x30 != name_I,
inference(definitional_conversion,[status(esa)],[f_8_1]) ).
cnf(f_8_3,plain,
constr_CONST_0x30 != name_I,
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
constr_CONST_0x30 != name_c,
inference(fof_nnf,[status(thm)],[ax8]) ).
fof(f_9_2,plain,
constr_CONST_0x30 != name_c,
inference(definitional_conversion,[status(esa)],[f_9_1]) ).
cnf(f_9_3,plain,
constr_CONST_0x30 != name_c,
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
constr_CONST_0x30 != name_objective,
inference(fof_nnf,[status(thm)],[ax9]) ).
fof(f_10_2,plain,
constr_CONST_0x30 != name_objective,
inference(definitional_conversion,[status(esa)],[f_10_1]) ).
cnf(f_10_3,plain,
constr_CONST_0x30 != name_objective,
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
constr_CONST_0x30 != name_skA,
inference(fof_nnf,[status(thm)],[ax10]) ).
fof(f_11_2,plain,
constr_CONST_0x30 != name_skA,
inference(definitional_conversion,[status(esa)],[f_11_1]) ).
cnf(f_11_3,plain,
constr_CONST_0x30 != name_skA,
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
constr_CONST_0x30 != name_skB,
inference(fof_nnf,[status(thm)],[ax11]) ).
fof(f_12_2,plain,
constr_CONST_0x30 != name_skB,
inference(definitional_conversion,[status(esa)],[f_12_1]) ).
cnf(f_12_3,plain,
constr_CONST_0x30 != name_skB,
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
constr_CONST_0x30 != name_skS,
inference(fof_nnf,[status(thm)],[ax12]) ).
fof(f_13_2,plain,
constr_CONST_0x30 != name_skS,
inference(definitional_conversion,[status(esa)],[f_13_1]) ).
cnf(f_13_3,plain,
constr_CONST_0x30 != name_skS,
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
constr_CONST_1 != constr_CONST_2,
inference(fof_nnf,[status(thm)],[ax13]) ).
fof(f_14_2,plain,
constr_CONST_1 != constr_CONST_2,
inference(definitional_conversion,[status(esa)],[f_14_1]) ).
cnf(f_14_3,plain,
constr_CONST_1 != constr_CONST_2,
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
constr_CONST_1 != constr_CONST_3,
inference(fof_nnf,[status(thm)],[ax14]) ).
fof(f_15_2,plain,
constr_CONST_1 != constr_CONST_3,
inference(definitional_conversion,[status(esa)],[f_15_1]) ).
cnf(f_15_3,plain,
constr_CONST_1 != constr_CONST_3,
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
constr_CONST_1 != constr_CONST_4,
inference(fof_nnf,[status(thm)],[ax15]) ).
fof(f_16_2,plain,
constr_CONST_1 != constr_CONST_4,
inference(definitional_conversion,[status(esa)],[f_16_1]) ).
cnf(f_16_3,plain,
constr_CONST_1 != constr_CONST_4,
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
constr_CONST_1 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax16]) ).
fof(f_17_2,plain,
constr_CONST_1 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_17_1]) ).
cnf(f_17_3,plain,
constr_CONST_1 != constr_ZERO,
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
constr_CONST_1 != name_A,
inference(fof_nnf,[status(thm)],[ax17]) ).
fof(f_18_2,plain,
constr_CONST_1 != name_A,
inference(definitional_conversion,[status(esa)],[f_18_1]) ).
cnf(f_18_3,plain,
constr_CONST_1 != name_A,
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
constr_CONST_1 != name_B,
inference(fof_nnf,[status(thm)],[ax18]) ).
fof(f_19_2,plain,
constr_CONST_1 != name_B,
inference(definitional_conversion,[status(esa)],[f_19_1]) ).
cnf(f_19_3,plain,
constr_CONST_1 != name_B,
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
constr_CONST_1 != name_I,
inference(fof_nnf,[status(thm)],[ax19]) ).
fof(f_20_2,plain,
constr_CONST_1 != name_I,
inference(definitional_conversion,[status(esa)],[f_20_1]) ).
cnf(f_20_3,plain,
constr_CONST_1 != name_I,
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
constr_CONST_1 != name_c,
inference(fof_nnf,[status(thm)],[ax20]) ).
fof(f_21_2,plain,
constr_CONST_1 != name_c,
inference(definitional_conversion,[status(esa)],[f_21_1]) ).
cnf(f_21_3,plain,
constr_CONST_1 != name_c,
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_1,plain,
constr_CONST_1 != name_objective,
inference(fof_nnf,[status(thm)],[ax21]) ).
fof(f_22_2,plain,
constr_CONST_1 != name_objective,
inference(definitional_conversion,[status(esa)],[f_22_1]) ).
cnf(f_22_3,plain,
constr_CONST_1 != name_objective,
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
constr_CONST_1 != name_skA,
inference(fof_nnf,[status(thm)],[ax22]) ).
fof(f_23_2,plain,
constr_CONST_1 != name_skA,
inference(definitional_conversion,[status(esa)],[f_23_1]) ).
cnf(f_23_3,plain,
constr_CONST_1 != name_skA,
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
constr_CONST_1 != name_skB,
inference(fof_nnf,[status(thm)],[ax23]) ).
fof(f_24_2,plain,
constr_CONST_1 != name_skB,
inference(definitional_conversion,[status(esa)],[f_24_1]) ).
cnf(f_24_3,plain,
constr_CONST_1 != name_skB,
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
constr_CONST_1 != name_skS,
inference(fof_nnf,[status(thm)],[ax24]) ).
fof(f_25_2,plain,
constr_CONST_1 != name_skS,
inference(definitional_conversion,[status(esa)],[f_25_1]) ).
cnf(f_25_3,plain,
constr_CONST_1 != name_skS,
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
constr_CONST_2 != constr_CONST_3,
inference(fof_nnf,[status(thm)],[ax25]) ).
fof(f_26_2,plain,
constr_CONST_2 != constr_CONST_3,
inference(definitional_conversion,[status(esa)],[f_26_1]) ).
cnf(f_26_3,plain,
constr_CONST_2 != constr_CONST_3,
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
constr_CONST_2 != constr_CONST_4,
inference(fof_nnf,[status(thm)],[ax26]) ).
fof(f_27_2,plain,
constr_CONST_2 != constr_CONST_4,
inference(definitional_conversion,[status(esa)],[f_27_1]) ).
cnf(f_27_3,plain,
constr_CONST_2 != constr_CONST_4,
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
constr_CONST_2 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax27]) ).
fof(f_28_2,plain,
constr_CONST_2 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_28_1]) ).
cnf(f_28_3,plain,
constr_CONST_2 != constr_ZERO,
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
constr_CONST_2 != name_A,
inference(fof_nnf,[status(thm)],[ax28]) ).
fof(f_29_2,plain,
constr_CONST_2 != name_A,
inference(definitional_conversion,[status(esa)],[f_29_1]) ).
cnf(f_29_3,plain,
constr_CONST_2 != name_A,
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
constr_CONST_2 != name_B,
inference(fof_nnf,[status(thm)],[ax29]) ).
fof(f_30_2,plain,
constr_CONST_2 != name_B,
inference(definitional_conversion,[status(esa)],[f_30_1]) ).
cnf(f_30_3,plain,
constr_CONST_2 != name_B,
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
constr_CONST_2 != name_I,
inference(fof_nnf,[status(thm)],[ax30]) ).
fof(f_31_2,plain,
constr_CONST_2 != name_I,
inference(definitional_conversion,[status(esa)],[f_31_1]) ).
cnf(f_31_3,plain,
constr_CONST_2 != name_I,
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
constr_CONST_2 != name_c,
inference(fof_nnf,[status(thm)],[ax31]) ).
fof(f_32_2,plain,
constr_CONST_2 != name_c,
inference(definitional_conversion,[status(esa)],[f_32_1]) ).
cnf(f_32_3,plain,
constr_CONST_2 != name_c,
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
constr_CONST_2 != name_objective,
inference(fof_nnf,[status(thm)],[ax32]) ).
fof(f_33_2,plain,
constr_CONST_2 != name_objective,
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,plain,
constr_CONST_2 != name_objective,
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
constr_CONST_2 != name_skA,
inference(fof_nnf,[status(thm)],[ax33]) ).
fof(f_34_2,plain,
constr_CONST_2 != name_skA,
inference(definitional_conversion,[status(esa)],[f_34_1]) ).
cnf(f_34_3,plain,
constr_CONST_2 != name_skA,
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
constr_CONST_2 != name_skB,
inference(fof_nnf,[status(thm)],[ax34]) ).
fof(f_35_2,plain,
constr_CONST_2 != name_skB,
inference(definitional_conversion,[status(esa)],[f_35_1]) ).
cnf(f_35_3,plain,
constr_CONST_2 != name_skB,
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
constr_CONST_2 != name_skS,
inference(fof_nnf,[status(thm)],[ax35]) ).
fof(f_36_2,plain,
constr_CONST_2 != name_skS,
inference(definitional_conversion,[status(esa)],[f_36_1]) ).
cnf(f_36_3,plain,
constr_CONST_2 != name_skS,
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
constr_CONST_3 != constr_CONST_4,
inference(fof_nnf,[status(thm)],[ax36]) ).
fof(f_37_2,plain,
constr_CONST_3 != constr_CONST_4,
inference(definitional_conversion,[status(esa)],[f_37_1]) ).
cnf(f_37_3,plain,
constr_CONST_3 != constr_CONST_4,
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
constr_CONST_3 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax37]) ).
fof(f_38_2,plain,
constr_CONST_3 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_38_1]) ).
cnf(f_38_3,plain,
constr_CONST_3 != constr_ZERO,
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
constr_CONST_3 != name_A,
inference(fof_nnf,[status(thm)],[ax38]) ).
fof(f_39_2,plain,
constr_CONST_3 != name_A,
inference(definitional_conversion,[status(esa)],[f_39_1]) ).
cnf(f_39_3,plain,
constr_CONST_3 != name_A,
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_1,plain,
constr_CONST_3 != name_B,
inference(fof_nnf,[status(thm)],[ax39]) ).
fof(f_40_2,plain,
constr_CONST_3 != name_B,
inference(definitional_conversion,[status(esa)],[f_40_1]) ).
cnf(f_40_3,plain,
constr_CONST_3 != name_B,
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
constr_CONST_3 != name_I,
inference(fof_nnf,[status(thm)],[ax40]) ).
fof(f_41_2,plain,
constr_CONST_3 != name_I,
inference(definitional_conversion,[status(esa)],[f_41_1]) ).
cnf(f_41_3,plain,
constr_CONST_3 != name_I,
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
constr_CONST_3 != name_c,
inference(fof_nnf,[status(thm)],[ax41]) ).
fof(f_42_2,plain,
constr_CONST_3 != name_c,
inference(definitional_conversion,[status(esa)],[f_42_1]) ).
cnf(f_42_3,plain,
constr_CONST_3 != name_c,
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
constr_CONST_3 != name_objective,
inference(fof_nnf,[status(thm)],[ax42]) ).
fof(f_43_2,plain,
constr_CONST_3 != name_objective,
inference(definitional_conversion,[status(esa)],[f_43_1]) ).
cnf(f_43_3,plain,
constr_CONST_3 != name_objective,
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
constr_CONST_3 != name_skA,
inference(fof_nnf,[status(thm)],[ax43]) ).
fof(f_44_2,plain,
constr_CONST_3 != name_skA,
inference(definitional_conversion,[status(esa)],[f_44_1]) ).
cnf(f_44_3,plain,
constr_CONST_3 != name_skA,
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
constr_CONST_3 != name_skB,
inference(fof_nnf,[status(thm)],[ax44]) ).
fof(f_45_2,plain,
constr_CONST_3 != name_skB,
inference(definitional_conversion,[status(esa)],[f_45_1]) ).
cnf(f_45_3,plain,
constr_CONST_3 != name_skB,
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
constr_CONST_3 != name_skS,
inference(fof_nnf,[status(thm)],[ax45]) ).
fof(f_46_2,plain,
constr_CONST_3 != name_skS,
inference(definitional_conversion,[status(esa)],[f_46_1]) ).
cnf(f_46_3,plain,
constr_CONST_3 != name_skS,
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
constr_CONST_4 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax46]) ).
fof(f_47_2,plain,
constr_CONST_4 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_47_1]) ).
cnf(f_47_3,plain,
constr_CONST_4 != constr_ZERO,
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,plain,
constr_CONST_4 != name_A,
inference(fof_nnf,[status(thm)],[ax47]) ).
fof(f_48_2,plain,
constr_CONST_4 != name_A,
inference(definitional_conversion,[status(esa)],[f_48_1]) ).
cnf(f_48_3,plain,
constr_CONST_4 != name_A,
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
constr_CONST_4 != name_B,
inference(fof_nnf,[status(thm)],[ax48]) ).
fof(f_49_2,plain,
constr_CONST_4 != name_B,
inference(definitional_conversion,[status(esa)],[f_49_1]) ).
cnf(f_49_3,plain,
constr_CONST_4 != name_B,
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
constr_CONST_4 != name_I,
inference(fof_nnf,[status(thm)],[ax49]) ).
fof(f_50_2,plain,
constr_CONST_4 != name_I,
inference(definitional_conversion,[status(esa)],[f_50_1]) ).
cnf(f_50_3,plain,
constr_CONST_4 != name_I,
inference(clausify,[status(thm)],[f_50_2]) ).
fof(f_51_1,plain,
constr_CONST_4 != name_c,
inference(fof_nnf,[status(thm)],[ax50]) ).
fof(f_51_2,plain,
constr_CONST_4 != name_c,
inference(definitional_conversion,[status(esa)],[f_51_1]) ).
cnf(f_51_3,plain,
constr_CONST_4 != name_c,
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
constr_CONST_4 != name_objective,
inference(fof_nnf,[status(thm)],[ax51]) ).
fof(f_52_2,plain,
constr_CONST_4 != name_objective,
inference(definitional_conversion,[status(esa)],[f_52_1]) ).
cnf(f_52_3,plain,
constr_CONST_4 != name_objective,
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
constr_CONST_4 != name_skA,
inference(fof_nnf,[status(thm)],[ax52]) ).
fof(f_53_2,plain,
constr_CONST_4 != name_skA,
inference(definitional_conversion,[status(esa)],[f_53_1]) ).
cnf(f_53_3,plain,
constr_CONST_4 != name_skA,
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
constr_CONST_4 != name_skB,
inference(fof_nnf,[status(thm)],[ax53]) ).
fof(f_54_2,plain,
constr_CONST_4 != name_skB,
inference(definitional_conversion,[status(esa)],[f_54_1]) ).
cnf(f_54_3,plain,
constr_CONST_4 != name_skB,
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_55_1,plain,
constr_CONST_4 != name_skS,
inference(fof_nnf,[status(thm)],[ax54]) ).
fof(f_55_2,plain,
constr_CONST_4 != name_skS,
inference(definitional_conversion,[status(esa)],[f_55_1]) ).
cnf(f_55_3,plain,
constr_CONST_4 != name_skS,
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_56_1,plain,
constr_ZERO != name_A,
inference(fof_nnf,[status(thm)],[ax55]) ).
fof(f_56_2,plain,
constr_ZERO != name_A,
inference(definitional_conversion,[status(esa)],[f_56_1]) ).
cnf(f_56_3,plain,
constr_ZERO != name_A,
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,plain,
constr_ZERO != name_B,
inference(fof_nnf,[status(thm)],[ax56]) ).
fof(f_57_2,plain,
constr_ZERO != name_B,
inference(definitional_conversion,[status(esa)],[f_57_1]) ).
cnf(f_57_3,plain,
constr_ZERO != name_B,
inference(clausify,[status(thm)],[f_57_2]) ).
fof(f_58_1,plain,
constr_ZERO != name_I,
inference(fof_nnf,[status(thm)],[ax57]) ).
fof(f_58_2,plain,
constr_ZERO != name_I,
inference(definitional_conversion,[status(esa)],[f_58_1]) ).
cnf(f_58_3,plain,
constr_ZERO != name_I,
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
constr_ZERO != name_c,
inference(fof_nnf,[status(thm)],[ax58]) ).
fof(f_59_2,plain,
constr_ZERO != name_c,
inference(definitional_conversion,[status(esa)],[f_59_1]) ).
cnf(f_59_3,plain,
constr_ZERO != name_c,
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,plain,
constr_ZERO != name_objective,
inference(fof_nnf,[status(thm)],[ax59]) ).
fof(f_60_2,plain,
constr_ZERO != name_objective,
inference(definitional_conversion,[status(esa)],[f_60_1]) ).
cnf(f_60_3,plain,
constr_ZERO != name_objective,
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
constr_ZERO != name_skA,
inference(fof_nnf,[status(thm)],[ax60]) ).
fof(f_61_2,plain,
constr_ZERO != name_skA,
inference(definitional_conversion,[status(esa)],[f_61_1]) ).
cnf(f_61_3,plain,
constr_ZERO != name_skA,
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_1,plain,
constr_ZERO != name_skB,
inference(fof_nnf,[status(thm)],[ax61]) ).
fof(f_62_2,plain,
constr_ZERO != name_skB,
inference(definitional_conversion,[status(esa)],[f_62_1]) ).
cnf(f_62_3,plain,
constr_ZERO != name_skB,
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_1,plain,
constr_ZERO != name_skS,
inference(fof_nnf,[status(thm)],[ax62]) ).
fof(f_63_2,plain,
constr_ZERO != name_skS,
inference(definitional_conversion,[status(esa)],[f_63_1]) ).
cnf(f_63_3,plain,
constr_ZERO != name_skS,
inference(clausify,[status(thm)],[f_63_2]) ).
fof(f_64_1,plain,
name_A != name_B,
inference(fof_nnf,[status(thm)],[ax63]) ).
fof(f_64_2,plain,
name_A != name_B,
inference(definitional_conversion,[status(esa)],[f_64_1]) ).
cnf(f_64_3,plain,
name_A != name_B,
inference(clausify,[status(thm)],[f_64_2]) ).
fof(f_65_1,plain,
name_A != name_I,
inference(fof_nnf,[status(thm)],[ax64]) ).
fof(f_65_2,plain,
name_A != name_I,
inference(definitional_conversion,[status(esa)],[f_65_1]) ).
cnf(f_65_3,plain,
name_A != name_I,
inference(clausify,[status(thm)],[f_65_2]) ).
fof(f_66_1,plain,
name_A != name_c,
inference(fof_nnf,[status(thm)],[ax65]) ).
fof(f_66_2,plain,
name_A != name_c,
inference(definitional_conversion,[status(esa)],[f_66_1]) ).
cnf(f_66_3,plain,
name_A != name_c,
inference(clausify,[status(thm)],[f_66_2]) ).
fof(f_67_1,plain,
name_A != name_objective,
inference(fof_nnf,[status(thm)],[ax66]) ).
fof(f_67_2,plain,
name_A != name_objective,
inference(definitional_conversion,[status(esa)],[f_67_1]) ).
cnf(f_67_3,plain,
name_A != name_objective,
inference(clausify,[status(thm)],[f_67_2]) ).
fof(f_68_1,plain,
name_A != name_skA,
inference(fof_nnf,[status(thm)],[ax67]) ).
fof(f_68_2,plain,
name_A != name_skA,
inference(definitional_conversion,[status(esa)],[f_68_1]) ).
cnf(f_68_3,plain,
name_A != name_skA,
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
name_A != name_skB,
inference(fof_nnf,[status(thm)],[ax68]) ).
fof(f_69_2,plain,
name_A != name_skB,
inference(definitional_conversion,[status(esa)],[f_69_1]) ).
cnf(f_69_3,plain,
name_A != name_skB,
inference(clausify,[status(thm)],[f_69_2]) ).
fof(f_70_1,plain,
name_A != name_skS,
inference(fof_nnf,[status(thm)],[ax69]) ).
fof(f_70_2,plain,
name_A != name_skS,
inference(definitional_conversion,[status(esa)],[f_70_1]) ).
cnf(f_70_3,plain,
name_A != name_skS,
inference(clausify,[status(thm)],[f_70_2]) ).
fof(f_71_1,plain,
name_B != name_I,
inference(fof_nnf,[status(thm)],[ax70]) ).
fof(f_71_2,plain,
name_B != name_I,
inference(definitional_conversion,[status(esa)],[f_71_1]) ).
cnf(f_71_3,plain,
name_B != name_I,
inference(clausify,[status(thm)],[f_71_2]) ).
fof(f_72_1,plain,
name_B != name_c,
inference(fof_nnf,[status(thm)],[ax71]) ).
fof(f_72_2,plain,
name_B != name_c,
inference(definitional_conversion,[status(esa)],[f_72_1]) ).
cnf(f_72_3,plain,
name_B != name_c,
inference(clausify,[status(thm)],[f_72_2]) ).
fof(f_73_1,plain,
name_B != name_objective,
inference(fof_nnf,[status(thm)],[ax72]) ).
fof(f_73_2,plain,
name_B != name_objective,
inference(definitional_conversion,[status(esa)],[f_73_1]) ).
cnf(f_73_3,plain,
name_B != name_objective,
inference(clausify,[status(thm)],[f_73_2]) ).
fof(f_74_1,plain,
name_B != name_skA,
inference(fof_nnf,[status(thm)],[ax73]) ).
fof(f_74_2,plain,
name_B != name_skA,
inference(definitional_conversion,[status(esa)],[f_74_1]) ).
cnf(f_74_3,plain,
name_B != name_skA,
inference(clausify,[status(thm)],[f_74_2]) ).
fof(f_75_1,plain,
name_B != name_skB,
inference(fof_nnf,[status(thm)],[ax74]) ).
fof(f_75_2,plain,
name_B != name_skB,
inference(definitional_conversion,[status(esa)],[f_75_1]) ).
cnf(f_75_3,plain,
name_B != name_skB,
inference(clausify,[status(thm)],[f_75_2]) ).
fof(f_76_1,plain,
name_B != name_skS,
inference(fof_nnf,[status(thm)],[ax75]) ).
fof(f_76_2,plain,
name_B != name_skS,
inference(definitional_conversion,[status(esa)],[f_76_1]) ).
cnf(f_76_3,plain,
name_B != name_skS,
inference(clausify,[status(thm)],[f_76_2]) ).
fof(f_77_1,plain,
name_I != name_c,
inference(fof_nnf,[status(thm)],[ax76]) ).
fof(f_77_2,plain,
name_I != name_c,
inference(definitional_conversion,[status(esa)],[f_77_1]) ).
cnf(f_77_3,plain,
name_I != name_c,
inference(clausify,[status(thm)],[f_77_2]) ).
fof(f_78_1,plain,
name_I != name_objective,
inference(fof_nnf,[status(thm)],[ax77]) ).
fof(f_78_2,plain,
name_I != name_objective,
inference(definitional_conversion,[status(esa)],[f_78_1]) ).
cnf(f_78_3,plain,
name_I != name_objective,
inference(clausify,[status(thm)],[f_78_2]) ).
fof(f_79_1,plain,
name_I != name_skA,
inference(fof_nnf,[status(thm)],[ax78]) ).
fof(f_79_2,plain,
name_I != name_skA,
inference(definitional_conversion,[status(esa)],[f_79_1]) ).
cnf(f_79_3,plain,
name_I != name_skA,
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_1,plain,
name_I != name_skB,
inference(fof_nnf,[status(thm)],[ax79]) ).
fof(f_80_2,plain,
name_I != name_skB,
inference(definitional_conversion,[status(esa)],[f_80_1]) ).
cnf(f_80_3,plain,
name_I != name_skB,
inference(clausify,[status(thm)],[f_80_2]) ).
fof(f_81_1,plain,
name_I != name_skS,
inference(fof_nnf,[status(thm)],[ax80]) ).
fof(f_81_2,plain,
name_I != name_skS,
inference(definitional_conversion,[status(esa)],[f_81_1]) ).
cnf(f_81_3,plain,
name_I != name_skS,
inference(clausify,[status(thm)],[f_81_2]) ).
fof(f_82_1,plain,
name_c != name_objective,
inference(fof_nnf,[status(thm)],[ax81]) ).
fof(f_82_2,plain,
name_c != name_objective,
inference(definitional_conversion,[status(esa)],[f_82_1]) ).
cnf(f_82_3,plain,
name_c != name_objective,
inference(clausify,[status(thm)],[f_82_2]) ).
fof(f_83_1,plain,
name_c != name_skA,
inference(fof_nnf,[status(thm)],[ax82]) ).
fof(f_83_2,plain,
name_c != name_skA,
inference(definitional_conversion,[status(esa)],[f_83_1]) ).
cnf(f_83_3,plain,
name_c != name_skA,
inference(clausify,[status(thm)],[f_83_2]) ).
fof(f_84_1,plain,
name_c != name_skB,
inference(fof_nnf,[status(thm)],[ax83]) ).
fof(f_84_2,plain,
name_c != name_skB,
inference(definitional_conversion,[status(esa)],[f_84_1]) ).
cnf(f_84_3,plain,
name_c != name_skB,
inference(clausify,[status(thm)],[f_84_2]) ).
fof(f_85_1,plain,
name_c != name_skS,
inference(fof_nnf,[status(thm)],[ax84]) ).
fof(f_85_2,plain,
name_c != name_skS,
inference(definitional_conversion,[status(esa)],[f_85_1]) ).
cnf(f_85_3,plain,
name_c != name_skS,
inference(clausify,[status(thm)],[f_85_2]) ).
fof(f_86_1,plain,
name_objective != name_skA,
inference(fof_nnf,[status(thm)],[ax85]) ).
fof(f_86_2,plain,
name_objective != name_skA,
inference(definitional_conversion,[status(esa)],[f_86_1]) ).
cnf(f_86_3,plain,
name_objective != name_skA,
inference(clausify,[status(thm)],[f_86_2]) ).
fof(f_87_1,plain,
name_objective != name_skB,
inference(fof_nnf,[status(thm)],[ax86]) ).
fof(f_87_2,plain,
name_objective != name_skB,
inference(definitional_conversion,[status(esa)],[f_87_1]) ).
cnf(f_87_3,plain,
name_objective != name_skB,
inference(clausify,[status(thm)],[f_87_2]) ).
fof(f_88_1,plain,
name_objective != name_skS,
inference(fof_nnf,[status(thm)],[ax87]) ).
fof(f_88_2,plain,
name_objective != name_skS,
inference(definitional_conversion,[status(esa)],[f_88_1]) ).
cnf(f_88_3,plain,
name_objective != name_skS,
inference(clausify,[status(thm)],[f_88_2]) ).
fof(f_89_1,plain,
name_skA != name_skB,
inference(fof_nnf,[status(thm)],[ax88]) ).
fof(f_89_2,plain,
name_skA != name_skB,
inference(definitional_conversion,[status(esa)],[f_89_1]) ).
cnf(f_89_3,plain,
name_skA != name_skB,
inference(clausify,[status(thm)],[f_89_2]) ).
fof(f_90_1,plain,
name_skA != name_skS,
inference(fof_nnf,[status(thm)],[ax89]) ).
fof(f_90_2,plain,
name_skA != name_skS,
inference(definitional_conversion,[status(esa)],[f_90_1]) ).
cnf(f_90_3,plain,
name_skA != name_skS,
inference(clausify,[status(thm)],[f_90_2]) ).
fof(f_91_1,plain,
name_skB != name_skS,
inference(fof_nnf,[status(thm)],[ax90]) ).
fof(f_91_2,plain,
name_skB != name_skS,
inference(definitional_conversion,[status(esa)],[f_91_1]) ).
cnf(f_91_3,plain,
name_skB != name_skS,
inference(clausify,[status(thm)],[f_91_2]) ).
fof(f_92_1,plain,
! [VAR_K_24,VAR_M_23] : constr_adec(constr_aenc(VAR_M_23,constr_pkey(VAR_K_24)),VAR_K_24) = VAR_M_23,
inference(fof_nnf,[status(thm)],[ax91]) ).
fof(f_92_2,plain,
! [U_1,U_0] : constr_adec(constr_aenc(U_0,constr_pkey(U_1)),U_1) = U_0,
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
! [U_0,U_1] : constr_adec(constr_aenc(U_0,constr_pkey(U_1)),U_1) = U_0,
inference(definitional_conversion,[status(esa)],[f_92_2]) ).
cnf(f_92_4,plain,
constr_adec(constr_aenc(U_0,constr_pkey(U_1)),U_1) = U_0,
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [VAR_K_22,VAR_M_21] : constr_dec(constr_enc(VAR_M_21,VAR_K_22),VAR_K_22) = VAR_M_21,
inference(fof_nnf,[status(thm)],[ax92]) ).
fof(f_93_2,plain,
! [U_3,U_2] : constr_dec(constr_enc(U_2,U_3),U_3) = U_2,
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
! [U_2,U_3] : constr_dec(constr_enc(U_2,U_3),U_3) = U_2,
inference(definitional_conversion,[status(esa)],[f_93_2]) ).
cnf(f_93_4,plain,
constr_dec(constr_enc(U_2,U_3),U_3) = U_2,
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_1,plain,
! [VAR_K_20X30,VAR_M_19] : constr_getmess(constr_sign(VAR_M_19,VAR_K_20X30)) = VAR_M_19,
inference(fof_nnf,[status(thm)],[ax93]) ).
fof(f_94_2,plain,
! [U_5,U_4] : constr_getmess(constr_sign(U_4,U_5)) = U_4,
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
! [U_4,U_5] : constr_getmess(constr_sign(U_4,U_5)) = U_4,
inference(definitional_conversion,[status(esa)],[f_94_2]) ).
cnf(f_94_4,plain,
constr_getmess(constr_sign(U_4,U_5)) = U_4,
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [VAR_K_0X30,VAR_M_0X30] : constr_checksign(constr_sign(VAR_M_0X30,VAR_K_0X30),constr_pkey(VAR_K_0X30)) = VAR_M_0X30,
inference(fof_nnf,[status(thm)],[ax94]) ).
fof(f_95_2,plain,
! [U_7,U_6] : constr_checksign(constr_sign(U_6,U_7),constr_pkey(U_7)) = U_6,
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
! [U_6,U_7] : constr_checksign(constr_sign(U_6,U_7),constr_pkey(U_7)) = U_6,
inference(definitional_conversion,[status(esa)],[f_95_2]) ).
cnf(f_95_4,plain,
constr_checksign(constr_sign(U_6,U_7),constr_pkey(U_7)) = U_6,
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
! [VAR_X_18] : constr_xor(VAR_X_18,VAR_X_18) = constr_ZERO,
inference(fof_nnf,[status(thm)],[ax95]) ).
fof(f_96_2,plain,
! [U_8] : constr_xor(U_8,U_8) = constr_ZERO,
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
! [U_8] : constr_xor(U_8,U_8) = constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_96_2]) ).
cnf(f_96_4,plain,
constr_xor(U_8,U_8) = constr_ZERO,
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [VAR_X_17] : constr_xor(VAR_X_17,constr_ZERO) = VAR_X_17,
inference(fof_nnf,[status(thm)],[ax96]) ).
fof(f_97_2,plain,
! [U_9] : constr_xor(U_9,constr_ZERO) = U_9,
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
! [U_9] : constr_xor(U_9,constr_ZERO) = U_9,
inference(definitional_conversion,[status(esa)],[f_97_2]) ).
cnf(f_97_4,plain,
constr_xor(U_9,constr_ZERO) = U_9,
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_1,plain,
! [VAR_X_15,VAR_Y_16] : constr_xor(VAR_X_15,VAR_Y_16) = constr_xor(VAR_Y_16,VAR_X_15),
inference(fof_nnf,[status(thm)],[ax97]) ).
fof(f_98_2,plain,
! [U_11,U_10] : constr_xor(U_11,U_10) = constr_xor(U_10,U_11),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
! [U_10,U_11] : constr_xor(U_11,U_10) = constr_xor(U_10,U_11),
inference(definitional_conversion,[status(esa)],[f_98_2]) ).
cnf(f_98_4,plain,
constr_xor(U_11,U_10) = constr_xor(U_10,U_11),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
! [VAR_X_13,VAR_Y_14,VAR_Z_0X30] : constr_xor(VAR_X_13,constr_xor(VAR_Y_14,VAR_Z_0X30)) = constr_xor(constr_xor(VAR_X_13,VAR_Y_14),VAR_Z_0X30),
inference(fof_nnf,[status(thm)],[ax98]) ).
fof(f_99_2,plain,
! [U_14,U_13,U_12] : constr_xor(U_14,constr_xor(U_13,U_12)) = constr_xor(constr_xor(U_14,U_13),U_12),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
! [U_12,U_13,U_14] : constr_xor(U_14,constr_xor(U_13,U_12)) = constr_xor(constr_xor(U_14,U_13),U_12),
inference(definitional_conversion,[status(esa)],[f_99_2]) ).
cnf(f_99_4,plain,
constr_xor(U_14,constr_xor(U_13,U_12)) = constr_xor(constr_xor(U_14,U_13),U_12),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [VAR_X0X30_11,VAR_X1_12] : constr_tuple_2_get_1_bitstring(tuple_2(VAR_X0X30_11,VAR_X1_12)) = VAR_X1_12,
inference(fof_nnf,[status(thm)],[ax99]) ).
fof(f_100_2,plain,
! [U_16,U_15] : constr_tuple_2_get_1_bitstring(tuple_2(U_16,U_15)) = U_15,
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
! [U_15,U_16] : constr_tuple_2_get_1_bitstring(tuple_2(U_16,U_15)) = U_15,
inference(definitional_conversion,[status(esa)],[f_100_2]) ).
cnf(f_100_4,plain,
constr_tuple_2_get_1_bitstring(tuple_2(U_16,U_15)) = U_15,
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
! [VAR_X0X30_9,VAR_X1_10X30] : constr_tuple_2_get_0x30_bitstring(tuple_2(VAR_X0X30_9,VAR_X1_10X30)) = VAR_X0X30_9,
inference(fof_nnf,[status(thm)],[ax100]) ).
fof(f_101_2,plain,
! [U_18,U_17] : constr_tuple_2_get_0x30_bitstring(tuple_2(U_18,U_17)) = U_18,
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
! [U_17,U_18] : constr_tuple_2_get_0x30_bitstring(tuple_2(U_18,U_17)) = U_18,
inference(definitional_conversion,[status(esa)],[f_101_2]) ).
cnf(f_101_4,plain,
constr_tuple_2_get_0x30_bitstring(tuple_2(U_18,U_17)) = U_18,
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [VAR_X0X30_7,VAR_X1_8] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_7,VAR_X1_8)) = VAR_X1_8,
inference(fof_nnf,[status(thm)],[ax101]) ).
fof(f_102_2,plain,
! [U_20,U_19] : constr_tuple_2_get_1(tuple_2(U_20,U_19)) = U_19,
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
! [U_19,U_20] : constr_tuple_2_get_1(tuple_2(U_20,U_19)) = U_19,
inference(definitional_conversion,[status(esa)],[f_102_2]) ).
cnf(f_102_4,plain,
constr_tuple_2_get_1(tuple_2(U_20,U_19)) = U_19,
inference(clausify,[status(thm)],[f_102_3]) ).
fof(f_103_1,plain,
! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_0x30(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X0X30_0X30,
inference(fof_nnf,[status(thm)],[ax102]) ).
fof(f_103_2,plain,
! [U_22,U_21] : constr_tuple_2_get_0x30(tuple_2(U_22,U_21)) = U_22,
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
! [U_21,U_22] : constr_tuple_2_get_0x30(tuple_2(U_22,U_21)) = U_22,
inference(definitional_conversion,[status(esa)],[f_103_2]) ).
cnf(f_103_4,plain,
constr_tuple_2_get_0x30(tuple_2(U_22,U_21)) = U_22,
inference(clausify,[status(thm)],[f_103_3]) ).
fof(f_104_1,plain,
! [VAR_X_41,VAR_Y_42] : pred_eq_bitstring_bitstring(VAR_X_41,VAR_Y_42),
inference(fof_nnf,[status(thm)],[ax103]) ).
fof(f_104_2,plain,
! [U_24,U_23] : pred_eq_bitstring_bitstring(U_24,U_23),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
! [U_24,U_23] : pred_eq_bitstring_bitstring(U_24,U_23),
inference(definitional_conversion,[status(esa)],[f_104_2]) ).
cnf(f_104_4,plain,
pred_eq_bitstring_bitstring(U_24,U_23),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [VAR_V_49,VAR_V_50X30] :
( pred_attacker(constr_xor(VAR_V_49,VAR_V_50X30))
| ~ pred_attacker(VAR_V_50X30)
| ~ pred_attacker(VAR_V_49) ),
inference(fof_nnf,[status(thm)],[ax104]) ).
fof(f_105_2,plain,
! [U_26,U_25] :
( pred_attacker(constr_xor(U_26,U_25))
| ~ pred_attacker(U_25)
| ~ pred_attacker(U_26) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
! [U_25,U_26] :
( pred_attacker(constr_xor(U_26,U_25))
| ~ pred_attacker(U_25)
| ~ pred_attacker(U_26) ),
inference(definitional_conversion,[status(esa)],[f_105_2]) ).
cnf(f_105_4,plain,
( pred_attacker(constr_xor(U_26,U_25))
| ~ pred_attacker(U_25)
| ~ pred_attacker(U_26) ),
inference(clausify,[status(thm)],[f_105_3]) ).
fof(f_106_1,plain,
! [VAR_V_52] :
( pred_attacker(constr_tuple_2_get_1_bitstring(VAR_V_52))
| ~ pred_attacker(VAR_V_52) ),
inference(fof_nnf,[status(thm)],[ax105]) ).
fof(f_106_2,plain,
! [U_27] :
( pred_attacker(constr_tuple_2_get_1_bitstring(U_27))
| ~ pred_attacker(U_27) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
! [U_27] :
( pred_attacker(constr_tuple_2_get_1_bitstring(U_27))
| ~ pred_attacker(U_27) ),
inference(definitional_conversion,[status(esa)],[f_106_2]) ).
cnf(f_106_4,plain,
( pred_attacker(constr_tuple_2_get_1_bitstring(U_27))
| ~ pred_attacker(U_27) ),
inference(clausify,[status(thm)],[f_106_3]) ).
fof(f_107_1,plain,
! [VAR_V_54] :
( pred_attacker(constr_tuple_2_get_1(VAR_V_54))
| ~ pred_attacker(VAR_V_54) ),
inference(fof_nnf,[status(thm)],[ax106]) ).
fof(f_107_2,plain,
! [U_28] :
( pred_attacker(constr_tuple_2_get_1(U_28))
| ~ pred_attacker(U_28) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
! [U_28] :
( pred_attacker(constr_tuple_2_get_1(U_28))
| ~ pred_attacker(U_28) ),
inference(definitional_conversion,[status(esa)],[f_107_2]) ).
cnf(f_107_4,plain,
( pred_attacker(constr_tuple_2_get_1(U_28))
| ~ pred_attacker(U_28) ),
inference(clausify,[status(thm)],[f_107_3]) ).
fof(f_108_1,plain,
! [VAR_V_56] :
( pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_56))
| ~ pred_attacker(VAR_V_56) ),
inference(fof_nnf,[status(thm)],[ax107]) ).
fof(f_108_2,plain,
! [U_29] :
( pred_attacker(constr_tuple_2_get_0x30_bitstring(U_29))
| ~ pred_attacker(U_29) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
! [U_29] :
( pred_attacker(constr_tuple_2_get_0x30_bitstring(U_29))
| ~ pred_attacker(U_29) ),
inference(definitional_conversion,[status(esa)],[f_108_2]) ).
cnf(f_108_4,plain,
( pred_attacker(constr_tuple_2_get_0x30_bitstring(U_29))
| ~ pred_attacker(U_29) ),
inference(clausify,[status(thm)],[f_108_3]) ).
fof(f_109_1,plain,
! [VAR_V_58] :
( pred_attacker(constr_tuple_2_get_0x30(VAR_V_58))
| ~ pred_attacker(VAR_V_58) ),
inference(fof_nnf,[status(thm)],[ax108]) ).
fof(f_109_2,plain,
! [U_30] :
( pred_attacker(constr_tuple_2_get_0x30(U_30))
| ~ pred_attacker(U_30) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
! [U_30] :
( pred_attacker(constr_tuple_2_get_0x30(U_30))
| ~ pred_attacker(U_30) ),
inference(definitional_conversion,[status(esa)],[f_109_2]) ).
cnf(f_109_4,plain,
( pred_attacker(constr_tuple_2_get_0x30(U_30))
| ~ pred_attacker(U_30) ),
inference(clausify,[status(thm)],[f_109_3]) ).
fof(f_110_1,plain,
pred_attacker(tuple_true),
inference(fof_nnf,[status(thm)],[ax109]) ).
fof(f_110_2,plain,
pred_attacker(tuple_true),
inference(definitional_conversion,[status(esa)],[f_110_1]) ).
cnf(f_110_3,plain,
pred_attacker(tuple_true),
inference(clausify,[status(thm)],[f_110_2]) ).
fof(f_111_1,plain,
! [VAR_V_61,VAR_V_62] :
( pred_attacker(constr_sign(VAR_V_61,VAR_V_62))
| ~ pred_attacker(VAR_V_62)
| ~ pred_attacker(VAR_V_61) ),
inference(fof_nnf,[status(thm)],[ax110]) ).
fof(f_111_2,plain,
! [U_32,U_31] :
( pred_attacker(constr_sign(U_32,U_31))
| ~ pred_attacker(U_31)
| ~ pred_attacker(U_32) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
! [U_31,U_32] :
( pred_attacker(constr_sign(U_32,U_31))
| ~ pred_attacker(U_31)
| ~ pred_attacker(U_32) ),
inference(definitional_conversion,[status(esa)],[f_111_2]) ).
cnf(f_111_4,plain,
( pred_attacker(constr_sign(U_32,U_31))
| ~ pred_attacker(U_31)
| ~ pred_attacker(U_32) ),
inference(clausify,[status(thm)],[f_111_3]) ).
fof(f_112_1,plain,
! [VAR_V_64] :
( pred_attacker(constr_pkey(VAR_V_64))
| ~ pred_attacker(VAR_V_64) ),
inference(fof_nnf,[status(thm)],[ax111]) ).
fof(f_112_2,plain,
! [U_33] :
( pred_attacker(constr_pkey(U_33))
| ~ pred_attacker(U_33) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
! [U_33] :
( pred_attacker(constr_pkey(U_33))
| ~ pred_attacker(U_33) ),
inference(definitional_conversion,[status(esa)],[f_112_2]) ).
cnf(f_112_4,plain,
( pred_attacker(constr_pkey(U_33))
| ~ pred_attacker(U_33) ),
inference(clausify,[status(thm)],[f_112_3]) ).
fof(f_113_1,plain,
! [VAR_V_66] :
( pred_attacker(tuple_out_3(VAR_V_66))
| ~ pred_attacker(VAR_V_66) ),
inference(fof_nnf,[status(thm)],[ax112]) ).
fof(f_113_2,plain,
! [U_34] :
( pred_attacker(tuple_out_3(U_34))
| ~ pred_attacker(U_34) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
! [U_34] :
( pred_attacker(tuple_out_3(U_34))
| ~ pred_attacker(U_34) ),
inference(definitional_conversion,[status(esa)],[f_113_2]) ).
cnf(f_113_4,plain,
( pred_attacker(tuple_out_3(U_34))
| ~ pred_attacker(U_34) ),
inference(clausify,[status(thm)],[f_113_3]) ).
fof(f_114_1,plain,
! [VAR_V_69] :
( pred_attacker(VAR_V_69)
| ~ pred_attacker(tuple_out_3(VAR_V_69)) ),
inference(fof_nnf,[status(thm)],[ax113]) ).
fof(f_114_2,plain,
! [U_35] :
( pred_attacker(U_35)
| ~ pred_attacker(tuple_out_3(U_35)) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
! [U_35] :
( pred_attacker(U_35)
| ~ pred_attacker(tuple_out_3(U_35)) ),
inference(definitional_conversion,[status(esa)],[f_114_2]) ).
cnf(f_114_4,plain,
( pred_attacker(U_35)
| ~ pred_attacker(tuple_out_3(U_35)) ),
inference(clausify,[status(thm)],[f_114_3]) ).
fof(f_115_1,plain,
! [VAR_V_72] :
( pred_attacker(tuple_out_2(VAR_V_72))
| ~ pred_attacker(VAR_V_72) ),
inference(fof_nnf,[status(thm)],[ax114]) ).
fof(f_115_2,plain,
! [U_36] :
( pred_attacker(tuple_out_2(U_36))
| ~ pred_attacker(U_36) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
! [U_36] :
( pred_attacker(tuple_out_2(U_36))
| ~ pred_attacker(U_36) ),
inference(definitional_conversion,[status(esa)],[f_115_2]) ).
cnf(f_115_4,plain,
( pred_attacker(tuple_out_2(U_36))
| ~ pred_attacker(U_36) ),
inference(clausify,[status(thm)],[f_115_3]) ).
fof(f_116_1,plain,
! [VAR_V_75] :
( pred_attacker(VAR_V_75)
| ~ pred_attacker(tuple_out_2(VAR_V_75)) ),
inference(fof_nnf,[status(thm)],[ax115]) ).
fof(f_116_2,plain,
! [U_37] :
( pred_attacker(U_37)
| ~ pred_attacker(tuple_out_2(U_37)) ),
inference(variable_rename,[status(thm)],[f_116_1]) ).
fof(f_116_3,plain,
! [U_37] :
( pred_attacker(U_37)
| ~ pred_attacker(tuple_out_2(U_37)) ),
inference(definitional_conversion,[status(esa)],[f_116_2]) ).
cnf(f_116_4,plain,
( pred_attacker(U_37)
| ~ pred_attacker(tuple_out_2(U_37)) ),
inference(clausify,[status(thm)],[f_116_3]) ).
fof(f_117_1,plain,
! [VAR_V_78] :
( pred_attacker(tuple_out_1(VAR_V_78))
| ~ pred_attacker(VAR_V_78) ),
inference(fof_nnf,[status(thm)],[ax116]) ).
fof(f_117_2,plain,
! [U_38] :
( pred_attacker(tuple_out_1(U_38))
| ~ pred_attacker(U_38) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
! [U_38] :
( pred_attacker(tuple_out_1(U_38))
| ~ pred_attacker(U_38) ),
inference(definitional_conversion,[status(esa)],[f_117_2]) ).
cnf(f_117_4,plain,
( pred_attacker(tuple_out_1(U_38))
| ~ pred_attacker(U_38) ),
inference(clausify,[status(thm)],[f_117_3]) ).
fof(f_118_1,plain,
! [VAR_V_81] :
( pred_attacker(VAR_V_81)
| ~ pred_attacker(tuple_out_1(VAR_V_81)) ),
inference(fof_nnf,[status(thm)],[ax117]) ).
fof(f_118_2,plain,
! [U_39] :
( pred_attacker(U_39)
| ~ pred_attacker(tuple_out_1(U_39)) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
! [U_39] :
( pred_attacker(U_39)
| ~ pred_attacker(tuple_out_1(U_39)) ),
inference(definitional_conversion,[status(esa)],[f_118_2]) ).
cnf(f_118_4,plain,
( pred_attacker(U_39)
| ~ pred_attacker(tuple_out_1(U_39)) ),
inference(clausify,[status(thm)],[f_118_3]) ).
fof(f_119_1,plain,
! [VAR_V_85] :
( pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_85))
| ~ pred_attacker(VAR_V_85) ),
inference(fof_nnf,[status(thm)],[ax118]) ).
fof(f_119_2,plain,
! [U_40] :
( pred_attacker(tuple_key_retrieval_server_out_2(U_40))
| ~ pred_attacker(U_40) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
! [U_40] :
( pred_attacker(tuple_key_retrieval_server_out_2(U_40))
| ~ pred_attacker(U_40) ),
inference(definitional_conversion,[status(esa)],[f_119_2]) ).
cnf(f_119_4,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(U_40))
| ~ pred_attacker(U_40) ),
inference(clausify,[status(thm)],[f_119_3]) ).
fof(f_120_1,plain,
! [VAR_V_88] :
( pred_attacker(VAR_V_88)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_88)) ),
inference(fof_nnf,[status(thm)],[ax119]) ).
fof(f_120_2,plain,
! [U_41] :
( pred_attacker(U_41)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(U_41)) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
! [U_41] :
( pred_attacker(U_41)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(U_41)) ),
inference(definitional_conversion,[status(esa)],[f_120_2]) ).
cnf(f_120_4,plain,
( pred_attacker(U_41)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(U_41)) ),
inference(clausify,[status(thm)],[f_120_3]) ).
fof(f_121_1,plain,
! [VAR_V_92,VAR_V_93] :
( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_92,VAR_V_93))
| ~ pred_attacker(VAR_V_93)
| ~ pred_attacker(VAR_V_92) ),
inference(fof_nnf,[status(thm)],[ax120]) ).
fof(f_121_2,plain,
! [U_43,U_42] :
( pred_attacker(tuple_key_retrieval_server_in_1(U_43,U_42))
| ~ pred_attacker(U_42)
| ~ pred_attacker(U_43) ),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
! [U_42,U_43] :
( pred_attacker(tuple_key_retrieval_server_in_1(U_43,U_42))
| ~ pred_attacker(U_42)
| ~ pred_attacker(U_43) ),
inference(definitional_conversion,[status(esa)],[f_121_2]) ).
cnf(f_121_4,plain,
( pred_attacker(tuple_key_retrieval_server_in_1(U_43,U_42))
| ~ pred_attacker(U_42)
| ~ pred_attacker(U_43) ),
inference(clausify,[status(thm)],[f_121_3]) ).
fof(f_122_1,plain,
! [VAR_V_10X300X30,VAR_V_10X301] :
( pred_attacker(VAR_V_10X300X30)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_10X300X30,VAR_V_10X301)) ),
inference(fof_nnf,[status(thm)],[ax121]) ).
fof(f_122_2,plain,
! [U_45,U_44] :
( pred_attacker(U_45)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(U_45,U_44)) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
! [U_45] :
( ! [U_44] : ~ pred_attacker(tuple_key_retrieval_server_in_1(U_45,U_44))
| pred_attacker(U_45) ),
inference(miniscope,[status(thm)],[f_122_2]) ).
fof(f_122_4,plain,
! [U_44,U_45] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(U_45,U_44))
| pred_attacker(U_45) ),
inference(definitional_conversion,[status(esa)],[f_122_3]) ).
cnf(f_122_5,plain,
( ~ pred_attacker(tuple_key_retrieval_server_in_1(U_45,U_44))
| pred_attacker(U_45) ),
inference(clausify,[status(thm)],[f_122_4]) ).
fof(f_123_1,plain,
! [VAR_V_10X303,VAR_V_10X304] :
( pred_attacker(VAR_V_10X304)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_10X303,VAR_V_10X304)) ),
inference(fof_nnf,[status(thm)],[ax122]) ).
fof(f_123_2,plain,
! [U_47,U_46] :
( pred_attacker(U_46)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(U_47,U_46)) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
! [U_46,U_47] :
( pred_attacker(U_46)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(U_47,U_46)) ),
inference(definitional_conversion,[status(esa)],[f_123_2]) ).
cnf(f_123_4,plain,
( pred_attacker(U_46)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(U_47,U_46)) ),
inference(clausify,[status(thm)],[f_123_3]) ).
fof(f_124_1,plain,
! [VAR_V_10X308,VAR_V_10X309] :
( pred_attacker(tuple_key_register_server_in_1(VAR_V_10X308,VAR_V_10X309))
| ~ pred_attacker(VAR_V_10X309)
| ~ pred_attacker(VAR_V_10X308) ),
inference(fof_nnf,[status(thm)],[ax123]) ).
fof(f_124_2,plain,
! [U_49,U_48] :
( pred_attacker(tuple_key_register_server_in_1(U_49,U_48))
| ~ pred_attacker(U_48)
| ~ pred_attacker(U_49) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
! [U_48,U_49] :
( pred_attacker(tuple_key_register_server_in_1(U_49,U_48))
| ~ pred_attacker(U_48)
| ~ pred_attacker(U_49) ),
inference(definitional_conversion,[status(esa)],[f_124_2]) ).
cnf(f_124_4,plain,
( pred_attacker(tuple_key_register_server_in_1(U_49,U_48))
| ~ pred_attacker(U_48)
| ~ pred_attacker(U_49) ),
inference(clausify,[status(thm)],[f_124_3]) ).
fof(f_125_1,plain,
! [VAR_V_116,VAR_V_117] :
( pred_attacker(VAR_V_116)
| ~ pred_attacker(tuple_key_register_server_in_1(VAR_V_116,VAR_V_117)) ),
inference(fof_nnf,[status(thm)],[ax124]) ).
fof(f_125_2,plain,
! [U_51,U_50] :
( pred_attacker(U_51)
| ~ pred_attacker(tuple_key_register_server_in_1(U_51,U_50)) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
! [U_51] :
( ! [U_50] : ~ pred_attacker(tuple_key_register_server_in_1(U_51,U_50))
| pred_attacker(U_51) ),
inference(miniscope,[status(thm)],[f_125_2]) ).
fof(f_125_4,plain,
! [U_50,U_51] :
( ~ pred_attacker(tuple_key_register_server_in_1(U_51,U_50))
| pred_attacker(U_51) ),
inference(definitional_conversion,[status(esa)],[f_125_3]) ).
cnf(f_125_5,plain,
( ~ pred_attacker(tuple_key_register_server_in_1(U_51,U_50))
| pred_attacker(U_51) ),
inference(clausify,[status(thm)],[f_125_4]) ).
fof(f_126_1,plain,
! [VAR_V_119,VAR_V_120X30] :
( pred_attacker(VAR_V_120X30)
| ~ pred_attacker(tuple_key_register_server_in_1(VAR_V_119,VAR_V_120X30)) ),
inference(fof_nnf,[status(thm)],[ax125]) ).
fof(f_126_2,plain,
! [U_53,U_52] :
( pred_attacker(U_52)
| ~ pred_attacker(tuple_key_register_server_in_1(U_53,U_52)) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
! [U_52,U_53] :
( pred_attacker(U_52)
| ~ pred_attacker(tuple_key_register_server_in_1(U_53,U_52)) ),
inference(definitional_conversion,[status(esa)],[f_126_2]) ).
cnf(f_126_4,plain,
( pred_attacker(U_52)
| ~ pred_attacker(tuple_key_register_server_in_1(U_53,U_52)) ),
inference(clausify,[status(thm)],[f_126_3]) ).
fof(f_127_1,plain,
! [VAR_V_123] :
( pred_attacker(constr_getmess(VAR_V_123))
| ~ pred_attacker(VAR_V_123) ),
inference(fof_nnf,[status(thm)],[ax126]) ).
fof(f_127_2,plain,
! [U_54] :
( pred_attacker(constr_getmess(U_54))
| ~ pred_attacker(U_54) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
! [U_54] :
( pred_attacker(constr_getmess(U_54))
| ~ pred_attacker(U_54) ),
inference(definitional_conversion,[status(esa)],[f_127_2]) ).
cnf(f_127_4,plain,
( pred_attacker(constr_getmess(U_54))
| ~ pred_attacker(U_54) ),
inference(clausify,[status(thm)],[f_127_3]) ).
fof(f_128_1,plain,
pred_attacker(tuple_false),
inference(fof_nnf,[status(thm)],[ax127]) ).
fof(f_128_2,plain,
pred_attacker(tuple_false),
inference(definitional_conversion,[status(esa)],[f_128_1]) ).
cnf(f_128_3,plain,
pred_attacker(tuple_false),
inference(clausify,[status(thm)],[f_128_2]) ).
fof(f_129_1,plain,
! [VAR_V_126,VAR_V_127] :
( pred_attacker(constr_enc(VAR_V_126,VAR_V_127))
| ~ pred_attacker(VAR_V_127)
| ~ pred_attacker(VAR_V_126) ),
inference(fof_nnf,[status(thm)],[ax128]) ).
fof(f_129_2,plain,
! [U_56,U_55] :
( pred_attacker(constr_enc(U_56,U_55))
| ~ pred_attacker(U_55)
| ~ pred_attacker(U_56) ),
inference(variable_rename,[status(thm)],[f_129_1]) ).
fof(f_129_3,plain,
! [U_55,U_56] :
( pred_attacker(constr_enc(U_56,U_55))
| ~ pred_attacker(U_55)
| ~ pred_attacker(U_56) ),
inference(definitional_conversion,[status(esa)],[f_129_2]) ).
cnf(f_129_4,plain,
( pred_attacker(constr_enc(U_56,U_55))
| ~ pred_attacker(U_55)
| ~ pred_attacker(U_56) ),
inference(clausify,[status(thm)],[f_129_3]) ).
fof(f_130_1,plain,
! [VAR_V_130X30,VAR_V_131] :
( pred_attacker(constr_dec(VAR_V_130X30,VAR_V_131))
| ~ pred_attacker(VAR_V_131)
| ~ pred_attacker(VAR_V_130X30) ),
inference(fof_nnf,[status(thm)],[ax129]) ).
fof(f_130_2,plain,
! [U_58,U_57] :
( pred_attacker(constr_dec(U_58,U_57))
| ~ pred_attacker(U_57)
| ~ pred_attacker(U_58) ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
! [U_58,U_57] :
( pred_attacker(constr_dec(U_58,U_57))
| ~ pred_attacker(U_57)
| ~ pred_attacker(U_58) ),
inference(definitional_conversion,[status(esa)],[f_130_2]) ).
cnf(f_130_4,plain,
( pred_attacker(constr_dec(U_58,U_57))
| ~ pred_attacker(U_57)
| ~ pred_attacker(U_58) ),
inference(clausify,[status(thm)],[f_130_3]) ).
fof(f_131_1,plain,
! [VAR_V_133] :
( pred_attacker(tuple_client_B_out_6(VAR_V_133))
| ~ pred_attacker(VAR_V_133) ),
inference(fof_nnf,[status(thm)],[ax130]) ).
fof(f_131_2,plain,
! [U_59] :
( pred_attacker(tuple_client_B_out_6(U_59))
| ~ pred_attacker(U_59) ),
inference(variable_rename,[status(thm)],[f_131_1]) ).
fof(f_131_3,plain,
! [U_59] :
( pred_attacker(tuple_client_B_out_6(U_59))
| ~ pred_attacker(U_59) ),
inference(definitional_conversion,[status(esa)],[f_131_2]) ).
cnf(f_131_4,plain,
( pred_attacker(tuple_client_B_out_6(U_59))
| ~ pred_attacker(U_59) ),
inference(clausify,[status(thm)],[f_131_3]) ).
fof(f_132_1,plain,
! [VAR_V_136] :
( pred_attacker(VAR_V_136)
| ~ pred_attacker(tuple_client_B_out_6(VAR_V_136)) ),
inference(fof_nnf,[status(thm)],[ax131]) ).
fof(f_132_2,plain,
! [U_60] :
( pred_attacker(U_60)
| ~ pred_attacker(tuple_client_B_out_6(U_60)) ),
inference(variable_rename,[status(thm)],[f_132_1]) ).
fof(f_132_3,plain,
! [U_60] :
( pred_attacker(U_60)
| ~ pred_attacker(tuple_client_B_out_6(U_60)) ),
inference(definitional_conversion,[status(esa)],[f_132_2]) ).
cnf(f_132_4,plain,
( pred_attacker(U_60)
| ~ pred_attacker(tuple_client_B_out_6(U_60)) ),
inference(clausify,[status(thm)],[f_132_3]) ).
fof(f_133_1,plain,
! [VAR_V_139] :
( pred_attacker(tuple_client_B_out_4(VAR_V_139))
| ~ pred_attacker(VAR_V_139) ),
inference(fof_nnf,[status(thm)],[ax132]) ).
fof(f_133_2,plain,
! [U_61] :
( pred_attacker(tuple_client_B_out_4(U_61))
| ~ pred_attacker(U_61) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
fof(f_133_3,plain,
! [U_61] :
( pred_attacker(tuple_client_B_out_4(U_61))
| ~ pred_attacker(U_61) ),
inference(definitional_conversion,[status(esa)],[f_133_2]) ).
cnf(f_133_4,plain,
( pred_attacker(tuple_client_B_out_4(U_61))
| ~ pred_attacker(U_61) ),
inference(clausify,[status(thm)],[f_133_3]) ).
fof(f_134_1,plain,
! [VAR_V_142] :
( pred_attacker(VAR_V_142)
| ~ pred_attacker(tuple_client_B_out_4(VAR_V_142)) ),
inference(fof_nnf,[status(thm)],[ax133]) ).
fof(f_134_2,plain,
! [U_62] :
( pred_attacker(U_62)
| ~ pred_attacker(tuple_client_B_out_4(U_62)) ),
inference(variable_rename,[status(thm)],[f_134_1]) ).
fof(f_134_3,plain,
! [U_62] :
( pred_attacker(U_62)
| ~ pred_attacker(tuple_client_B_out_4(U_62)) ),
inference(definitional_conversion,[status(esa)],[f_134_2]) ).
cnf(f_134_4,plain,
( pred_attacker(U_62)
| ~ pred_attacker(tuple_client_B_out_4(U_62)) ),
inference(clausify,[status(thm)],[f_134_3]) ).
fof(f_135_1,plain,
! [VAR_V_146,VAR_V_147] :
( pred_attacker(tuple_client_B_out_1(VAR_V_146,VAR_V_147))
| ~ pred_attacker(VAR_V_147)
| ~ pred_attacker(VAR_V_146) ),
inference(fof_nnf,[status(thm)],[ax134]) ).
fof(f_135_2,plain,
! [U_64,U_63] :
( pred_attacker(tuple_client_B_out_1(U_64,U_63))
| ~ pred_attacker(U_63)
| ~ pred_attacker(U_64) ),
inference(variable_rename,[status(thm)],[f_135_1]) ).
fof(f_135_3,plain,
! [U_63,U_64] :
( pred_attacker(tuple_client_B_out_1(U_64,U_63))
| ~ pred_attacker(U_63)
| ~ pred_attacker(U_64) ),
inference(definitional_conversion,[status(esa)],[f_135_2]) ).
cnf(f_135_4,plain,
( pred_attacker(tuple_client_B_out_1(U_64,U_63))
| ~ pred_attacker(U_63)
| ~ pred_attacker(U_64) ),
inference(clausify,[status(thm)],[f_135_3]) ).
fof(f_136_1,plain,
! [VAR_V_154,VAR_V_155] :
( pred_attacker(VAR_V_154)
| ~ pred_attacker(tuple_client_B_out_1(VAR_V_154,VAR_V_155)) ),
inference(fof_nnf,[status(thm)],[ax135]) ).
fof(f_136_2,plain,
! [U_66,U_65] :
( pred_attacker(U_66)
| ~ pred_attacker(tuple_client_B_out_1(U_66,U_65)) ),
inference(variable_rename,[status(thm)],[f_136_1]) ).
fof(f_136_3,plain,
! [U_66] :
( ! [U_65] : ~ pred_attacker(tuple_client_B_out_1(U_66,U_65))
| pred_attacker(U_66) ),
inference(miniscope,[status(thm)],[f_136_2]) ).
fof(f_136_4,plain,
! [U_65,U_66] :
( ~ pred_attacker(tuple_client_B_out_1(U_66,U_65))
| pred_attacker(U_66) ),
inference(definitional_conversion,[status(esa)],[f_136_3]) ).
cnf(f_136_5,plain,
( ~ pred_attacker(tuple_client_B_out_1(U_66,U_65))
| pred_attacker(U_66) ),
inference(clausify,[status(thm)],[f_136_4]) ).
fof(f_137_1,plain,
! [VAR_V_157,VAR_V_158] :
( pred_attacker(VAR_V_158)
| ~ pred_attacker(tuple_client_B_out_1(VAR_V_157,VAR_V_158)) ),
inference(fof_nnf,[status(thm)],[ax136]) ).
fof(f_137_2,plain,
! [U_68,U_67] :
( pred_attacker(U_67)
| ~ pred_attacker(tuple_client_B_out_1(U_68,U_67)) ),
inference(variable_rename,[status(thm)],[f_137_1]) ).
fof(f_137_3,plain,
! [U_67,U_68] :
( pred_attacker(U_67)
| ~ pred_attacker(tuple_client_B_out_1(U_68,U_67)) ),
inference(definitional_conversion,[status(esa)],[f_137_2]) ).
cnf(f_137_4,plain,
( pred_attacker(U_67)
| ~ pred_attacker(tuple_client_B_out_1(U_68,U_67)) ),
inference(clausify,[status(thm)],[f_137_3]) ).
fof(f_138_1,plain,
! [VAR_V_161] :
( pred_attacker(tuple_client_B_in_5(VAR_V_161))
| ~ pred_attacker(VAR_V_161) ),
inference(fof_nnf,[status(thm)],[ax137]) ).
fof(f_138_2,plain,
! [U_69] :
( pred_attacker(tuple_client_B_in_5(U_69))
| ~ pred_attacker(U_69) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
fof(f_138_3,plain,
! [U_69] :
( pred_attacker(tuple_client_B_in_5(U_69))
| ~ pred_attacker(U_69) ),
inference(definitional_conversion,[status(esa)],[f_138_2]) ).
cnf(f_138_4,plain,
( pred_attacker(tuple_client_B_in_5(U_69))
| ~ pred_attacker(U_69) ),
inference(clausify,[status(thm)],[f_138_3]) ).
fof(f_139_1,plain,
! [VAR_V_164] :
( pred_attacker(VAR_V_164)
| ~ pred_attacker(tuple_client_B_in_5(VAR_V_164)) ),
inference(fof_nnf,[status(thm)],[ax138]) ).
fof(f_139_2,plain,
! [U_70] :
( pred_attacker(U_70)
| ~ pred_attacker(tuple_client_B_in_5(U_70)) ),
inference(variable_rename,[status(thm)],[f_139_1]) ).
fof(f_139_3,plain,
! [U_70] :
( pred_attacker(U_70)
| ~ pred_attacker(tuple_client_B_in_5(U_70)) ),
inference(definitional_conversion,[status(esa)],[f_139_2]) ).
cnf(f_139_4,plain,
( pred_attacker(U_70)
| ~ pred_attacker(tuple_client_B_in_5(U_70)) ),
inference(clausify,[status(thm)],[f_139_3]) ).
fof(f_140_1,plain,
! [VAR_V_167] :
( pred_attacker(tuple_client_B_in_3(VAR_V_167))
| ~ pred_attacker(VAR_V_167) ),
inference(fof_nnf,[status(thm)],[ax139]) ).
fof(f_140_2,plain,
! [U_71] :
( pred_attacker(tuple_client_B_in_3(U_71))
| ~ pred_attacker(U_71) ),
inference(variable_rename,[status(thm)],[f_140_1]) ).
fof(f_140_3,plain,
! [U_71] :
( pred_attacker(tuple_client_B_in_3(U_71))
| ~ pred_attacker(U_71) ),
inference(definitional_conversion,[status(esa)],[f_140_2]) ).
cnf(f_140_4,plain,
( pred_attacker(tuple_client_B_in_3(U_71))
| ~ pred_attacker(U_71) ),
inference(clausify,[status(thm)],[f_140_3]) ).
fof(f_141_1,plain,
! [VAR_V_170X30] :
( pred_attacker(VAR_V_170X30)
| ~ pred_attacker(tuple_client_B_in_3(VAR_V_170X30)) ),
inference(fof_nnf,[status(thm)],[ax140]) ).
fof(f_141_2,plain,
! [U_72] :
( pred_attacker(U_72)
| ~ pred_attacker(tuple_client_B_in_3(U_72)) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
fof(f_141_3,plain,
! [U_72] :
( pred_attacker(U_72)
| ~ pred_attacker(tuple_client_B_in_3(U_72)) ),
inference(definitional_conversion,[status(esa)],[f_141_2]) ).
cnf(f_141_4,plain,
( pred_attacker(U_72)
| ~ pred_attacker(tuple_client_B_in_3(U_72)) ),
inference(clausify,[status(thm)],[f_141_3]) ).
fof(f_142_1,plain,
! [VAR_V_173] :
( pred_attacker(tuple_client_B_in_2(VAR_V_173))
| ~ pred_attacker(VAR_V_173) ),
inference(fof_nnf,[status(thm)],[ax141]) ).
fof(f_142_2,plain,
! [U_73] :
( pred_attacker(tuple_client_B_in_2(U_73))
| ~ pred_attacker(U_73) ),
inference(variable_rename,[status(thm)],[f_142_1]) ).
fof(f_142_3,plain,
! [U_73] :
( pred_attacker(tuple_client_B_in_2(U_73))
| ~ pred_attacker(U_73) ),
inference(definitional_conversion,[status(esa)],[f_142_2]) ).
cnf(f_142_4,plain,
( pred_attacker(tuple_client_B_in_2(U_73))
| ~ pred_attacker(U_73) ),
inference(clausify,[status(thm)],[f_142_3]) ).
fof(f_143_1,plain,
! [VAR_V_176] :
( pred_attacker(VAR_V_176)
| ~ pred_attacker(tuple_client_B_in_2(VAR_V_176)) ),
inference(fof_nnf,[status(thm)],[ax142]) ).
fof(f_143_2,plain,
! [U_74] :
( pred_attacker(U_74)
| ~ pred_attacker(tuple_client_B_in_2(U_74)) ),
inference(variable_rename,[status(thm)],[f_143_1]) ).
fof(f_143_3,plain,
! [U_74] :
( pred_attacker(U_74)
| ~ pred_attacker(tuple_client_B_in_2(U_74)) ),
inference(definitional_conversion,[status(esa)],[f_143_2]) ).
cnf(f_143_4,plain,
( pred_attacker(U_74)
| ~ pred_attacker(tuple_client_B_in_2(U_74)) ),
inference(clausify,[status(thm)],[f_143_3]) ).
fof(f_144_1,plain,
! [VAR_V_179] :
( pred_attacker(tuple_client_A_out_5(VAR_V_179))
| ~ pred_attacker(VAR_V_179) ),
inference(fof_nnf,[status(thm)],[ax143]) ).
fof(f_144_2,plain,
! [U_75] :
( pred_attacker(tuple_client_A_out_5(U_75))
| ~ pred_attacker(U_75) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
fof(f_144_3,plain,
! [U_75] :
( pred_attacker(tuple_client_A_out_5(U_75))
| ~ pred_attacker(U_75) ),
inference(definitional_conversion,[status(esa)],[f_144_2]) ).
cnf(f_144_4,plain,
( pred_attacker(tuple_client_A_out_5(U_75))
| ~ pred_attacker(U_75) ),
inference(clausify,[status(thm)],[f_144_3]) ).
fof(f_145_1,plain,
! [VAR_V_182] :
( pred_attacker(VAR_V_182)
| ~ pred_attacker(tuple_client_A_out_5(VAR_V_182)) ),
inference(fof_nnf,[status(thm)],[ax144]) ).
fof(f_145_2,plain,
! [U_76] :
( pred_attacker(U_76)
| ~ pred_attacker(tuple_client_A_out_5(U_76)) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
fof(f_145_3,plain,
! [U_76] :
( pred_attacker(U_76)
| ~ pred_attacker(tuple_client_A_out_5(U_76)) ),
inference(definitional_conversion,[status(esa)],[f_145_2]) ).
cnf(f_145_4,plain,
( pred_attacker(U_76)
| ~ pred_attacker(tuple_client_A_out_5(U_76)) ),
inference(clausify,[status(thm)],[f_145_3]) ).
fof(f_146_1,plain,
! [VAR_V_185] :
( pred_attacker(tuple_client_A_out_3(VAR_V_185))
| ~ pred_attacker(VAR_V_185) ),
inference(fof_nnf,[status(thm)],[ax145]) ).
fof(f_146_2,plain,
! [U_77] :
( pred_attacker(tuple_client_A_out_3(U_77))
| ~ pred_attacker(U_77) ),
inference(variable_rename,[status(thm)],[f_146_1]) ).
fof(f_146_3,plain,
! [U_77] :
( pred_attacker(tuple_client_A_out_3(U_77))
| ~ pred_attacker(U_77) ),
inference(definitional_conversion,[status(esa)],[f_146_2]) ).
cnf(f_146_4,plain,
( pred_attacker(tuple_client_A_out_3(U_77))
| ~ pred_attacker(U_77) ),
inference(clausify,[status(thm)],[f_146_3]) ).
fof(f_147_1,plain,
! [VAR_V_188] :
( pred_attacker(VAR_V_188)
| ~ pred_attacker(tuple_client_A_out_3(VAR_V_188)) ),
inference(fof_nnf,[status(thm)],[ax146]) ).
fof(f_147_2,plain,
! [U_78] :
( pred_attacker(U_78)
| ~ pred_attacker(tuple_client_A_out_3(U_78)) ),
inference(variable_rename,[status(thm)],[f_147_1]) ).
fof(f_147_3,plain,
! [U_78] :
( pred_attacker(U_78)
| ~ pred_attacker(tuple_client_A_out_3(U_78)) ),
inference(definitional_conversion,[status(esa)],[f_147_2]) ).
cnf(f_147_4,plain,
( pred_attacker(U_78)
| ~ pred_attacker(tuple_client_A_out_3(U_78)) ),
inference(clausify,[status(thm)],[f_147_3]) ).
fof(f_148_1,plain,
! [VAR_V_192,VAR_V_193] :
( pred_attacker(tuple_client_A_out_1(VAR_V_192,VAR_V_193))
| ~ pred_attacker(VAR_V_193)
| ~ pred_attacker(VAR_V_192) ),
inference(fof_nnf,[status(thm)],[ax147]) ).
fof(f_148_2,plain,
! [U_80,U_79] :
( pred_attacker(tuple_client_A_out_1(U_80,U_79))
| ~ pred_attacker(U_79)
| ~ pred_attacker(U_80) ),
inference(variable_rename,[status(thm)],[f_148_1]) ).
fof(f_148_3,plain,
! [U_79,U_80] :
( pred_attacker(tuple_client_A_out_1(U_80,U_79))
| ~ pred_attacker(U_79)
| ~ pred_attacker(U_80) ),
inference(definitional_conversion,[status(esa)],[f_148_2]) ).
cnf(f_148_4,plain,
( pred_attacker(tuple_client_A_out_1(U_80,U_79))
| ~ pred_attacker(U_79)
| ~ pred_attacker(U_80) ),
inference(clausify,[status(thm)],[f_148_3]) ).
fof(f_149_1,plain,
! [VAR_V_20X300X30,VAR_V_20X301] :
( pred_attacker(VAR_V_20X300X30)
| ~ pred_attacker(tuple_client_A_out_1(VAR_V_20X300X30,VAR_V_20X301)) ),
inference(fof_nnf,[status(thm)],[ax148]) ).
fof(f_149_2,plain,
! [U_82,U_81] :
( pred_attacker(U_82)
| ~ pred_attacker(tuple_client_A_out_1(U_82,U_81)) ),
inference(variable_rename,[status(thm)],[f_149_1]) ).
fof(f_149_3,plain,
! [U_82] :
( ! [U_81] : ~ pred_attacker(tuple_client_A_out_1(U_82,U_81))
| pred_attacker(U_82) ),
inference(miniscope,[status(thm)],[f_149_2]) ).
fof(f_149_4,plain,
! [U_82,U_81] :
( ~ pred_attacker(tuple_client_A_out_1(U_82,U_81))
| pred_attacker(U_82) ),
inference(definitional_conversion,[status(esa)],[f_149_3]) ).
cnf(f_149_5,plain,
( ~ pred_attacker(tuple_client_A_out_1(U_82,U_81))
| pred_attacker(U_82) ),
inference(clausify,[status(thm)],[f_149_4]) ).
fof(f_150_1,plain,
! [VAR_V_20X303,VAR_V_20X304] :
( pred_attacker(VAR_V_20X304)
| ~ pred_attacker(tuple_client_A_out_1(VAR_V_20X303,VAR_V_20X304)) ),
inference(fof_nnf,[status(thm)],[ax149]) ).
fof(f_150_2,plain,
! [U_84,U_83] :
( pred_attacker(U_83)
| ~ pred_attacker(tuple_client_A_out_1(U_84,U_83)) ),
inference(variable_rename,[status(thm)],[f_150_1]) ).
fof(f_150_3,plain,
! [U_83,U_84] :
( pred_attacker(U_83)
| ~ pred_attacker(tuple_client_A_out_1(U_84,U_83)) ),
inference(definitional_conversion,[status(esa)],[f_150_2]) ).
cnf(f_150_4,plain,
( pred_attacker(U_83)
| ~ pred_attacker(tuple_client_A_out_1(U_84,U_83)) ),
inference(clausify,[status(thm)],[f_150_3]) ).
fof(f_151_1,plain,
! [VAR_V_20X307] :
( pred_attacker(tuple_client_A_in_4(VAR_V_20X307))
| ~ pred_attacker(VAR_V_20X307) ),
inference(fof_nnf,[status(thm)],[ax150]) ).
fof(f_151_2,plain,
! [U_85] :
( pred_attacker(tuple_client_A_in_4(U_85))
| ~ pred_attacker(U_85) ),
inference(variable_rename,[status(thm)],[f_151_1]) ).
fof(f_151_3,plain,
! [U_85] :
( pred_attacker(tuple_client_A_in_4(U_85))
| ~ pred_attacker(U_85) ),
inference(definitional_conversion,[status(esa)],[f_151_2]) ).
cnf(f_151_4,plain,
( pred_attacker(tuple_client_A_in_4(U_85))
| ~ pred_attacker(U_85) ),
inference(clausify,[status(thm)],[f_151_3]) ).
fof(f_152_1,plain,
! [VAR_V_210X30] :
( pred_attacker(VAR_V_210X30)
| ~ pred_attacker(tuple_client_A_in_4(VAR_V_210X30)) ),
inference(fof_nnf,[status(thm)],[ax151]) ).
fof(f_152_2,plain,
! [U_86] :
( pred_attacker(U_86)
| ~ pred_attacker(tuple_client_A_in_4(U_86)) ),
inference(variable_rename,[status(thm)],[f_152_1]) ).
fof(f_152_3,plain,
! [U_86] :
( pred_attacker(U_86)
| ~ pred_attacker(tuple_client_A_in_4(U_86)) ),
inference(definitional_conversion,[status(esa)],[f_152_2]) ).
cnf(f_152_4,plain,
( pred_attacker(U_86)
| ~ pred_attacker(tuple_client_A_in_4(U_86)) ),
inference(clausify,[status(thm)],[f_152_3]) ).
fof(f_153_1,plain,
! [VAR_V_213] :
( pred_attacker(tuple_client_A_in_2(VAR_V_213))
| ~ pred_attacker(VAR_V_213) ),
inference(fof_nnf,[status(thm)],[ax152]) ).
fof(f_153_2,plain,
! [U_87] :
( pred_attacker(tuple_client_A_in_2(U_87))
| ~ pred_attacker(U_87) ),
inference(variable_rename,[status(thm)],[f_153_1]) ).
fof(f_153_3,plain,
! [U_87] :
( pred_attacker(tuple_client_A_in_2(U_87))
| ~ pred_attacker(U_87) ),
inference(definitional_conversion,[status(esa)],[f_153_2]) ).
cnf(f_153_4,plain,
( pred_attacker(tuple_client_A_in_2(U_87))
| ~ pred_attacker(U_87) ),
inference(clausify,[status(thm)],[f_153_3]) ).
fof(f_154_1,plain,
! [VAR_V_216] :
( pred_attacker(VAR_V_216)
| ~ pred_attacker(tuple_client_A_in_2(VAR_V_216)) ),
inference(fof_nnf,[status(thm)],[ax153]) ).
fof(f_154_2,plain,
! [U_88] :
( pred_attacker(U_88)
| ~ pred_attacker(tuple_client_A_in_2(U_88)) ),
inference(variable_rename,[status(thm)],[f_154_1]) ).
fof(f_154_3,plain,
! [U_88] :
( pred_attacker(U_88)
| ~ pred_attacker(tuple_client_A_in_2(U_88)) ),
inference(definitional_conversion,[status(esa)],[f_154_2]) ).
cnf(f_154_4,plain,
( pred_attacker(U_88)
| ~ pred_attacker(tuple_client_A_in_2(U_88)) ),
inference(clausify,[status(thm)],[f_154_3]) ).
fof(f_155_1,plain,
! [VAR_V_220X30,VAR_V_221] :
( pred_attacker(constr_checksign(VAR_V_220X30,VAR_V_221))
| ~ pred_attacker(VAR_V_221)
| ~ pred_attacker(VAR_V_220X30) ),
inference(fof_nnf,[status(thm)],[ax154]) ).
fof(f_155_2,plain,
! [U_90,U_89] :
( pred_attacker(constr_checksign(U_90,U_89))
| ~ pred_attacker(U_89)
| ~ pred_attacker(U_90) ),
inference(variable_rename,[status(thm)],[f_155_1]) ).
fof(f_155_3,plain,
! [U_89,U_90] :
( pred_attacker(constr_checksign(U_90,U_89))
| ~ pred_attacker(U_89)
| ~ pred_attacker(U_90) ),
inference(definitional_conversion,[status(esa)],[f_155_2]) ).
cnf(f_155_4,plain,
( pred_attacker(constr_checksign(U_90,U_89))
| ~ pred_attacker(U_89)
| ~ pred_attacker(U_90) ),
inference(clausify,[status(thm)],[f_155_3]) ).
fof(f_156_1,plain,
! [VAR_V_224,VAR_V_225] :
( pred_attacker(constr_aenc(VAR_V_224,VAR_V_225))
| ~ pred_attacker(VAR_V_225)
| ~ pred_attacker(VAR_V_224) ),
inference(fof_nnf,[status(thm)],[ax155]) ).
fof(f_156_2,plain,
! [U_92,U_91] :
( pred_attacker(constr_aenc(U_92,U_91))
| ~ pred_attacker(U_91)
| ~ pred_attacker(U_92) ),
inference(variable_rename,[status(thm)],[f_156_1]) ).
fof(f_156_3,plain,
! [U_92,U_91] :
( pred_attacker(constr_aenc(U_92,U_91))
| ~ pred_attacker(U_91)
| ~ pred_attacker(U_92) ),
inference(definitional_conversion,[status(esa)],[f_156_2]) ).
cnf(f_156_4,plain,
( pred_attacker(constr_aenc(U_92,U_91))
| ~ pred_attacker(U_91)
| ~ pred_attacker(U_92) ),
inference(clausify,[status(thm)],[f_156_3]) ).
fof(f_157_1,plain,
! [VAR_V_228,VAR_V_229] :
( pred_attacker(constr_adec(VAR_V_228,VAR_V_229))
| ~ pred_attacker(VAR_V_229)
| ~ pred_attacker(VAR_V_228) ),
inference(fof_nnf,[status(thm)],[ax156]) ).
fof(f_157_2,plain,
! [U_94,U_93] :
( pred_attacker(constr_adec(U_94,U_93))
| ~ pred_attacker(U_93)
| ~ pred_attacker(U_94) ),
inference(variable_rename,[status(thm)],[f_157_1]) ).
fof(f_157_3,plain,
! [U_94,U_93] :
( pred_attacker(constr_adec(U_94,U_93))
| ~ pred_attacker(U_93)
| ~ pred_attacker(U_94) ),
inference(definitional_conversion,[status(esa)],[f_157_2]) ).
cnf(f_157_4,plain,
( pred_attacker(constr_adec(U_94,U_93))
| ~ pred_attacker(U_93)
| ~ pred_attacker(U_94) ),
inference(clausify,[status(thm)],[f_157_3]) ).
fof(f_158_1,plain,
pred_attacker(constr_ZERO),
inference(fof_nnf,[status(thm)],[ax157]) ).
fof(f_158_2,plain,
pred_attacker(constr_ZERO),
inference(definitional_conversion,[status(esa)],[f_158_1]) ).
cnf(f_158_3,plain,
pred_attacker(constr_ZERO),
inference(clausify,[status(thm)],[f_158_2]) ).
fof(f_159_1,plain,
pred_attacker(constr_CONST_4),
inference(fof_nnf,[status(thm)],[ax158]) ).
fof(f_159_2,plain,
pred_attacker(constr_CONST_4),
inference(definitional_conversion,[status(esa)],[f_159_1]) ).
cnf(f_159_3,plain,
pred_attacker(constr_CONST_4),
inference(clausify,[status(thm)],[f_159_2]) ).
fof(f_160_1,plain,
pred_attacker(constr_CONST_3),
inference(fof_nnf,[status(thm)],[ax159]) ).
fof(f_160_2,plain,
pred_attacker(constr_CONST_3),
inference(definitional_conversion,[status(esa)],[f_160_1]) ).
cnf(f_160_3,plain,
pred_attacker(constr_CONST_3),
inference(clausify,[status(thm)],[f_160_2]) ).
fof(f_161_1,plain,
pred_attacker(constr_CONST_2),
inference(fof_nnf,[status(thm)],[ax160]) ).
fof(f_161_2,plain,
pred_attacker(constr_CONST_2),
inference(definitional_conversion,[status(esa)],[f_161_1]) ).
cnf(f_161_3,plain,
pred_attacker(constr_CONST_2),
inference(clausify,[status(thm)],[f_161_2]) ).
fof(f_162_1,plain,
pred_attacker(constr_CONST_1),
inference(fof_nnf,[status(thm)],[ax161]) ).
fof(f_162_2,plain,
pred_attacker(constr_CONST_1),
inference(definitional_conversion,[status(esa)],[f_162_1]) ).
cnf(f_162_3,plain,
pred_attacker(constr_CONST_1),
inference(clausify,[status(thm)],[f_162_2]) ).
fof(f_163_1,plain,
pred_attacker(constr_CONST_0x30),
inference(fof_nnf,[status(thm)],[ax162]) ).
fof(f_163_2,plain,
pred_attacker(constr_CONST_0x30),
inference(definitional_conversion,[status(esa)],[f_163_1]) ).
cnf(f_163_3,plain,
pred_attacker(constr_CONST_0x30),
inference(clausify,[status(thm)],[f_163_2]) ).
fof(f_164_1,plain,
! [VAR_V_236,VAR_V_237] :
( pred_attacker(tuple_2(VAR_V_236,VAR_V_237))
| ~ pred_attacker(VAR_V_237)
| ~ pred_attacker(VAR_V_236) ),
inference(fof_nnf,[status(thm)],[ax163]) ).
fof(f_164_2,plain,
! [U_96,U_95] :
( pred_attacker(tuple_2(U_96,U_95))
| ~ pred_attacker(U_95)
| ~ pred_attacker(U_96) ),
inference(variable_rename,[status(thm)],[f_164_1]) ).
fof(f_164_3,plain,
! [U_95,U_96] :
( pred_attacker(tuple_2(U_96,U_95))
| ~ pred_attacker(U_95)
| ~ pred_attacker(U_96) ),
inference(definitional_conversion,[status(esa)],[f_164_2]) ).
cnf(f_164_4,plain,
( pred_attacker(tuple_2(U_96,U_95))
| ~ pred_attacker(U_95)
| ~ pred_attacker(U_96) ),
inference(clausify,[status(thm)],[f_164_3]) ).
fof(f_165_1,plain,
! [VAR_V_244,VAR_V_245] :
( pred_attacker(VAR_V_244)
| ~ pred_attacker(tuple_2(VAR_V_244,VAR_V_245)) ),
inference(fof_nnf,[status(thm)],[ax164]) ).
fof(f_165_2,plain,
! [U_98,U_97] :
( pred_attacker(U_98)
| ~ pred_attacker(tuple_2(U_98,U_97)) ),
inference(variable_rename,[status(thm)],[f_165_1]) ).
fof(f_165_3,plain,
! [U_98] :
( ! [U_97] : ~ pred_attacker(tuple_2(U_98,U_97))
| pred_attacker(U_98) ),
inference(miniscope,[status(thm)],[f_165_2]) ).
fof(f_165_4,plain,
! [U_97,U_98] :
( ~ pred_attacker(tuple_2(U_98,U_97))
| pred_attacker(U_98) ),
inference(definitional_conversion,[status(esa)],[f_165_3]) ).
cnf(f_165_5,plain,
( ~ pred_attacker(tuple_2(U_98,U_97))
| pred_attacker(U_98) ),
inference(clausify,[status(thm)],[f_165_4]) ).
fof(f_166_1,plain,
! [VAR_V_247,VAR_V_248] :
( pred_attacker(VAR_V_248)
| ~ pred_attacker(tuple_2(VAR_V_247,VAR_V_248)) ),
inference(fof_nnf,[status(thm)],[ax165]) ).
fof(f_166_2,plain,
! [U_100,U_99] :
( pred_attacker(U_99)
| ~ pred_attacker(tuple_2(U_100,U_99)) ),
inference(variable_rename,[status(thm)],[f_166_1]) ).
fof(f_166_3,plain,
! [U_99,U_100] :
( pred_attacker(U_99)
| ~ pred_attacker(tuple_2(U_100,U_99)) ),
inference(definitional_conversion,[status(esa)],[f_166_2]) ).
cnf(f_166_4,plain,
( pred_attacker(U_99)
| ~ pred_attacker(tuple_2(U_100,U_99)) ),
inference(clausify,[status(thm)],[f_166_3]) ).
fof(f_167_1,plain,
! [VAR_V_250X30,VAR_V_251] :
( pred_attacker(VAR_V_250X30)
| ~ pred_attacker(VAR_V_251)
| ~ pred_mess(VAR_V_251,VAR_V_250X30) ),
inference(fof_nnf,[status(thm)],[ax166]) ).
fof(f_167_2,plain,
! [U_102,U_101] :
( pred_attacker(U_102)
| ~ pred_attacker(U_101)
| ~ pred_mess(U_101,U_102) ),
inference(variable_rename,[status(thm)],[f_167_1]) ).
fof(f_167_3,plain,
! [U_102] :
( ! [U_101] :
( ~ pred_attacker(U_101)
| ~ pred_mess(U_101,U_102) )
| pred_attacker(U_102) ),
inference(miniscope,[status(thm)],[f_167_2]) ).
fof(f_167_4,plain,
! [U_102,U_101] :
( ~ pred_attacker(U_101)
| ~ pred_mess(U_101,U_102)
| pred_attacker(U_102) ),
inference(definitional_conversion,[status(esa)],[f_167_3]) ).
cnf(f_167_5,plain,
( ~ pred_attacker(U_101)
| ~ pred_mess(U_101,U_102)
| pred_attacker(U_102) ),
inference(clausify,[status(thm)],[f_167_4]) ).
fof(f_168_1,plain,
! [VAR_V_252,VAR_V_253] :
( pred_mess(VAR_V_253,VAR_V_252)
| ~ pred_attacker(VAR_V_252)
| ~ pred_attacker(VAR_V_253) ),
inference(fof_nnf,[status(thm)],[ax167]) ).
fof(f_168_2,plain,
! [U_104,U_103] :
( pred_mess(U_103,U_104)
| ~ pred_attacker(U_104)
| ~ pred_attacker(U_103) ),
inference(variable_rename,[status(thm)],[f_168_1]) ).
fof(f_168_3,plain,
! [U_103,U_104] :
( pred_mess(U_103,U_104)
| ~ pred_attacker(U_104)
| ~ pred_attacker(U_103) ),
inference(definitional_conversion,[status(esa)],[f_168_2]) ).
cnf(f_168_4,plain,
( pred_mess(U_103,U_104)
| ~ pred_attacker(U_104)
| ~ pred_attacker(U_103) ),
inference(clausify,[status(thm)],[f_168_3]) ).
fof(f_169_1,plain,
pred_attacker(name_c),
inference(fof_nnf,[status(thm)],[ax168]) ).
fof(f_169_2,plain,
pred_attacker(name_c),
inference(definitional_conversion,[status(esa)],[f_169_1]) ).
cnf(f_169_3,plain,
pred_attacker(name_c),
inference(clausify,[status(thm)],[f_169_2]) ).
fof(f_170_1,plain,
pred_attacker(name_I),
inference(fof_nnf,[status(thm)],[ax169]) ).
fof(f_170_2,plain,
pred_attacker(name_I),
inference(definitional_conversion,[status(esa)],[f_170_1]) ).
cnf(f_170_3,plain,
pred_attacker(name_I),
inference(clausify,[status(thm)],[f_170_2]) ).
fof(f_171_1,plain,
pred_attacker(name_B),
inference(fof_nnf,[status(thm)],[ax170]) ).
fof(f_171_2,plain,
pred_attacker(name_B),
inference(definitional_conversion,[status(esa)],[f_171_1]) ).
cnf(f_171_3,plain,
pred_attacker(name_B),
inference(clausify,[status(thm)],[f_171_2]) ).
fof(f_172_1,plain,
pred_attacker(name_A),
inference(fof_nnf,[status(thm)],[ax171]) ).
fof(f_172_2,plain,
pred_attacker(name_A),
inference(definitional_conversion,[status(esa)],[f_172_1]) ).
cnf(f_172_3,plain,
pred_attacker(name_A),
inference(clausify,[status(thm)],[f_172_2]) ).
fof(f_173_1,plain,
! [VAR_V_255] : pred_equal(VAR_V_255,VAR_V_255),
inference(fof_nnf,[status(thm)],[ax172]) ).
fof(f_173_2,plain,
! [U_105] : pred_equal(U_105,U_105),
inference(variable_rename,[status(thm)],[f_173_1]) ).
fof(f_173_3,plain,
! [U_105] : pred_equal(U_105,U_105),
inference(definitional_conversion,[status(esa)],[f_173_2]) ).
cnf(f_173_4,plain,
pred_equal(U_105,U_105),
inference(clausify,[status(thm)],[f_173_3]) ).
fof(f_174_1,plain,
! [VAR_V_256] : pred_attacker(name_new0x2Dname(VAR_V_256)),
inference(fof_nnf,[status(thm)],[ax173]) ).
fof(f_174_2,plain,
! [U_106] : pred_attacker(name_new0x2Dname(U_106)),
inference(variable_rename,[status(thm)],[f_174_1]) ).
fof(f_174_3,plain,
! [U_106] : pred_attacker(name_new0x2Dname(U_106)),
inference(definitional_conversion,[status(esa)],[f_174_2]) ).
cnf(f_174_4,plain,
pred_attacker(name_new0x2Dname(U_106)),
inference(clausify,[status(thm)],[f_174_3]) ).
fof(f_175_1,plain,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
inference(fof_nnf,[status(thm)],[ax174]) ).
fof(f_175_2,plain,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
inference(definitional_conversion,[status(esa)],[f_175_1]) ).
cnf(f_175_3,plain,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
inference(clausify,[status(thm)],[f_175_2]) ).
fof(f_176_1,plain,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))),
inference(fof_nnf,[status(thm)],[ax175]) ).
fof(f_176_2,plain,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))),
inference(definitional_conversion,[status(esa)],[f_176_1]) ).
cnf(f_176_3,plain,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))),
inference(clausify,[status(thm)],[f_176_2]) ).
fof(f_177_1,plain,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
inference(fof_nnf,[status(thm)],[ax176]) ).
fof(f_177_2,plain,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
inference(definitional_conversion,[status(esa)],[f_177_1]) ).
cnf(f_177_3,plain,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
inference(clausify,[status(thm)],[f_177_2]) ).
fof(f_178_1,plain,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
inference(fof_nnf,[status(thm)],[ax177]) ).
fof(f_178_2,plain,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
inference(definitional_conversion,[status(esa)],[f_178_1]) ).
cnf(f_178_3,plain,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
inference(clausify,[status(thm)],[f_178_2]) ).
fof(f_179_1,plain,
pred_attacker(tuple_out_3(constr_pkey(name_skS))),
inference(fof_nnf,[status(thm)],[ax178]) ).
fof(f_179_2,plain,
pred_attacker(tuple_out_3(constr_pkey(name_skS))),
inference(definitional_conversion,[status(esa)],[f_179_1]) ).
cnf(f_179_3,plain,
pred_attacker(tuple_out_3(constr_pkey(name_skS))),
inference(clausify,[status(thm)],[f_179_2]) ).
fof(f_180_1,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
inference(fof_nnf,[status(thm)],[ax179]) ).
fof(f_180_2,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
inference(definitional_conversion,[status(esa)],[f_180_1]) ).
cnf(f_180_3,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
inference(clausify,[status(thm)],[f_180_2]) ).
fof(f_181_1,plain,
! [VAR_0X40SID_376,VAR_SIGN_I_PKI_375] :
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(VAR_0X40SID_376),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_375,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_375))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_375,constr_pkey(name_skS)))) ),
inference(fof_nnf,[status(thm)],[ax180]) ).
fof(f_181_2,plain,
! [U_108,U_107] :
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(U_108),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(U_107,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(U_107))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(U_107,constr_pkey(name_skS)))) ),
inference(variable_rename,[status(thm)],[f_181_1]) ).
fof(f_181_3,plain,
! [U_107,U_108] :
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(U_108),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(U_107,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(U_107))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(U_107,constr_pkey(name_skS)))) ),
inference(definitional_conversion,[status(esa)],[f_181_2]) ).
cnf(f_181_4,plain,
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(U_108),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(U_107,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(U_107))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(U_107,constr_pkey(name_skS)))) ),
inference(clausify,[status(thm)],[f_181_3]) ).
fof(f_182_1,plain,
! [VAR_0X40SID_435,VAR_AENC_NA_XOR_I_NI_434,VAR_SIGN_I_PKI_436] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(VAR_AENC_NA_XOR_I_NI_434,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_436,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_436))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_436,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(VAR_AENC_NA_XOR_I_NI_434))
| ~ pred_eq_bitstring_bitstring(name_I,constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_XOR_I_NI_434,name_skA)),name_Na(VAR_0X40SID_435))) ),
inference(fof_nnf,[status(thm)],[ax181]) ).
fof(f_182_2,plain,
! [U_111,U_110,U_109] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(U_110,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(U_109,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(U_109))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(U_109,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(U_110))
| ~ pred_eq_bitstring_bitstring(name_I,constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(U_110,name_skA)),name_Na(U_111))) ),
inference(variable_rename,[status(thm)],[f_182_1]) ).
fof(f_182_3,plain,
! [U_110,U_109,U_111] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(U_110,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(U_109,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(U_109))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(U_109,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(U_110))
| ~ pred_eq_bitstring_bitstring(name_I,constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(U_110,name_skA)),name_Na(U_111))) ),
inference(definitional_conversion,[status(esa)],[f_182_2]) ).
cnf(f_182_4,plain,
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(U_110,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(U_109,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(U_109))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(U_109,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(U_110))
| ~ pred_eq_bitstring_bitstring(name_I,constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(U_110,name_skA)),name_Na(U_111))) ),
inference(clausify,[status(thm)],[f_182_3]) ).
fof(f_183_1,plain,
pred_attacker(tuple_client_B_out_1(name_B,name_A)),
inference(fof_nnf,[status(thm)],[ax182]) ).
fof(f_183_2,plain,
pred_attacker(tuple_client_B_out_1(name_B,name_A)),
inference(definitional_conversion,[status(esa)],[f_183_1]) ).
cnf(f_183_3,plain,
pred_attacker(tuple_client_B_out_1(name_B,name_A)),
inference(clausify,[status(thm)],[f_183_2]) ).
fof(f_184_1,plain,
! [VAR_0X40SID_553,VAR_AENC_NA_A_551,VAR_SIGN_A_PKA_552] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_A_551,name_skB)),name_B),name_Nb(VAR_0X40SID_553)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_A_PKA_552,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_552))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_552,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_551))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_551,name_skB))) ),
inference(fof_nnf,[status(thm)],[ax183]) ).
fof(f_184_2,plain,
! [U_114,U_113,U_112] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(U_113,name_skB)),name_B),name_Nb(U_114)),constr_tuple_2_get_1_bitstring(constr_checksign(U_112,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(U_112))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(U_112,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(U_113))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(U_113,name_skB))) ),
inference(variable_rename,[status(thm)],[f_184_1]) ).
fof(f_184_3,plain,
! [U_112,U_113,U_114] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(U_113,name_skB)),name_B),name_Nb(U_114)),constr_tuple_2_get_1_bitstring(constr_checksign(U_112,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(U_112))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(U_112,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(U_113))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(U_113,name_skB))) ),
inference(definitional_conversion,[status(esa)],[f_184_2]) ).
cnf(f_184_4,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(U_113,name_skB)),name_B),name_Nb(U_114)),constr_tuple_2_get_1_bitstring(constr_checksign(U_112,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(U_112))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(U_112,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(U_113))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(U_113,name_skB))) ),
inference(clausify,[status(thm)],[f_184_3]) ).
fof(f_185_1,plain,
! [VAR_0X40SID_577,VAR_AENC_NA_A_579,VAR_AENC_NB_578,VAR_SIGN_A_PKA_580X30] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))
| ~ pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577),constr_adec(VAR_AENC_NB_578,name_skB)) ),
inference(fof_nnf,[status(thm)],[ax184]) ).
fof(f_185_2,plain,
! [U_118,U_117,U_116,U_115] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(U_115))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(U_115,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(U_117))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(U_117,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(U_116))
| ~ pred_eq_bitstring_bitstring(name_Nb(U_118),constr_adec(U_116,name_skB)) ),
inference(variable_rename,[status(thm)],[f_185_1]) ).
fof(f_185_3,plain,
( ! [U_118,U_116] :
( ~ pred_attacker(tuple_client_B_in_5(U_116))
| ~ pred_eq_bitstring_bitstring(name_Nb(U_118),constr_adec(U_116,name_skB)) )
| ! [U_117] :
( ~ pred_attacker(tuple_client_B_in_3(U_117))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(U_117,name_skB))) )
| ! [U_115] :
( ~ pred_attacker(tuple_client_B_in_2(U_115))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(U_115,constr_pkey(name_skS)))) )
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(miniscope,[status(thm)],[f_185_2]) ).
fof(f_185_4,plain,
! [U_117,U_116,U_115,U_118] :
( ~ pred_attacker(tuple_client_B_in_5(U_116))
| ~ pred_eq_bitstring_bitstring(name_Nb(U_118),constr_adec(U_116,name_skB))
| ~ pred_attacker(tuple_client_B_in_3(U_117))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(U_117,name_skB)))
| ~ pred_attacker(tuple_client_B_in_2(U_115))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(U_115,constr_pkey(name_skS))))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(definitional_conversion,[status(esa)],[f_185_3]) ).
cnf(f_185_5,plain,
( ~ pred_attacker(tuple_client_B_in_5(U_116))
| ~ pred_eq_bitstring_bitstring(name_Nb(U_118),constr_adec(U_116,name_skB))
| ~ pred_attacker(tuple_client_B_in_3(U_117))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(U_117,name_skB)))
| ~ pred_attacker(tuple_client_B_in_2(U_115))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(U_115,constr_pkey(name_skS))))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(clausify,[status(thm)],[f_185_4]) ).
fof(f_186_1,plain,
! [VAR_DST_619,VAR_PKDST_620X30,VAR_SRC_621] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(VAR_DST_619,VAR_PKDST_620X30),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(VAR_SRC_621,VAR_DST_619))
| ~ pred_table(tuple_keys(VAR_DST_619,VAR_PKDST_620X30)) ),
inference(fof_nnf,[status(thm)],[ax185]) ).
fof(f_186_2,plain,
! [U_121,U_120,U_119] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(U_121,U_120),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(U_119,U_121))
| ~ pred_table(tuple_keys(U_121,U_120)) ),
inference(variable_rename,[status(thm)],[f_186_1]) ).
fof(f_186_3,plain,
! [U_121,U_120] :
( ! [U_119] : ~ pred_attacker(tuple_key_retrieval_server_in_1(U_119,U_121))
| ~ pred_table(tuple_keys(U_121,U_120))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(U_121,U_120),name_skS))) ),
inference(miniscope,[status(thm)],[f_186_2]) ).
fof(f_186_4,plain,
! [U_120,U_119,U_121] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(U_119,U_121))
| ~ pred_table(tuple_keys(U_121,U_120))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(U_121,U_120),name_skS))) ),
inference(definitional_conversion,[status(esa)],[f_186_3]) ).
cnf(f_186_5,plain,
( ~ pred_attacker(tuple_key_retrieval_server_in_1(U_119,U_121))
| ~ pred_table(tuple_keys(U_121,U_120))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(U_121,U_120),name_skS))) ),
inference(clausify,[status(thm)],[f_186_4]) ).
fof(f_187_1,plain,
! [VAR_HOST_673,VAR_PK_674] :
( pred_table(tuple_keys(VAR_HOST_673,VAR_PK_674))
| ~ pred_attacker(tuple_key_register_server_in_1(VAR_HOST_673,VAR_PK_674))
| VAR_HOST_673 = name_A
| VAR_HOST_673 = name_B ),
inference(fof_nnf,[status(thm)],[ax186]) ).
fof(f_187_2,plain,
! [U_123,U_122] :
( pred_table(tuple_keys(U_123,U_122))
| ~ pred_attacker(tuple_key_register_server_in_1(U_123,U_122))
| U_123 = name_A
| U_123 = name_B ),
inference(variable_rename,[status(thm)],[f_187_1]) ).
fof(f_187_3,plain,
! [U_122,U_123] :
( pred_table(tuple_keys(U_123,U_122))
| ~ pred_attacker(tuple_key_register_server_in_1(U_123,U_122))
| U_123 = name_A
| U_123 = name_B ),
inference(definitional_conversion,[status(esa)],[f_187_2]) ).
cnf(f_187_4,plain,
( pred_table(tuple_keys(U_123,U_122))
| ~ pred_attacker(tuple_key_register_server_in_1(U_123,U_122))
| U_123 = name_A
| U_123 = name_B ),
inference(clausify,[status(thm)],[f_187_3]) ).
fof(f_188_1,negated_conjecture,
~ pred_attacker(name_objective),
inference(negate,[status(cth)],[co0]) ).
fof(f_188_2,negated_conjecture,
~ pred_attacker(name_objective),
inference(definitional_conversion,[status(esa)],[f_188_1]) ).
cnf(f_188_3,negated_conjecture,
~ pred_attacker(name_objective),
inference(clausify,[status(thm)],[f_188_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( constr_pkey(Eq_x_0) = constr_pkey(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( constr_aenc(Eq_x_0,Eq_x_1) = constr_aenc(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( constr_adec(Eq_x_0,Eq_x_1) = constr_adec(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( constr_enc(Eq_x_0,Eq_x_1) = constr_enc(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( constr_dec(Eq_x_0,Eq_x_1) = constr_dec(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( constr_sign(Eq_x_0,Eq_x_1) = constr_sign(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( constr_getmess(Eq_x_0) = constr_getmess(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( constr_checksign(Eq_x_0,Eq_x_1) = constr_checksign(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( constr_xor(Eq_x_0,Eq_x_1) = constr_xor(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( tuple_2(Eq_x_0,Eq_x_1) = tuple_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( constr_tuple_2_get_1_bitstring(Eq_x_0) = constr_tuple_2_get_1_bitstring(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( constr_tuple_2_get_0x30_bitstring(Eq_x_0) = constr_tuple_2_get_0x30_bitstring(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( constr_tuple_2_get_1(Eq_x_0) = constr_tuple_2_get_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( constr_tuple_2_get_0x30(Eq_x_0) = constr_tuple_2_get_0x30(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( tuple_out_3(Eq_x_0) = tuple_out_3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( tuple_out_2(Eq_x_0) = tuple_out_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( tuple_out_1(Eq_x_0) = tuple_out_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( tuple_key_retrieval_server_out_2(Eq_x_0) = tuple_key_retrieval_server_out_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( tuple_key_retrieval_server_in_1(Eq_x_0,Eq_x_1) = tuple_key_retrieval_server_in_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( tuple_key_register_server_in_1(Eq_x_0,Eq_x_1) = tuple_key_register_server_in_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( tuple_client_B_out_6(Eq_x_0) = tuple_client_B_out_6(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( tuple_client_B_out_4(Eq_x_0) = tuple_client_B_out_4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( tuple_client_B_out_1(Eq_x_0,Eq_x_1) = tuple_client_B_out_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( tuple_client_B_in_5(Eq_x_0) = tuple_client_B_in_5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( tuple_client_B_in_3(Eq_x_0) = tuple_client_B_in_3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( tuple_client_B_in_2(Eq_x_0) = tuple_client_B_in_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( tuple_client_A_out_5(Eq_x_0) = tuple_client_A_out_5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( tuple_client_A_out_3(Eq_x_0) = tuple_client_A_out_3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( tuple_client_A_out_1(Eq_x_0,Eq_x_1) = tuple_client_A_out_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( tuple_client_A_in_4(Eq_x_0) = tuple_client_A_in_4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( tuple_client_A_in_2(Eq_x_0) = tuple_client_A_in_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( name_new0x2Dname(Eq_x_0) = name_new0x2Dname(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( tuple_keys(Eq_x_0,Eq_x_1) = tuple_keys(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( name_Na(Eq_x_0) = name_Na(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_38,axiom,
( name_Nb(Eq_x_0) = name_Nb(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_39,axiom,
( pred_eq_bitstring_bitstring(Eq_y_0,Eq_y_1)
| ~ pred_eq_bitstring_bitstring(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,axiom,
( pred_attacker(Eq_y_0)
| ~ pred_attacker(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_41,axiom,
( pred_mess(Eq_y_0,Eq_y_1)
| ~ pred_mess(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_42,axiom,
( pred_equal(Eq_y_0,Eq_y_1)
| ~ pred_equal(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( pred_table(Eq_y_0)
| ~ pred_table(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW965+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.58 % Computer : n018.cluster.edu
% 0.09/10.58 % Model : x86_64 x86_64
% 0.09/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.58 % Memory : 8046.5625MB
% 0.09/10.58 % OS : Linux 6.8.0-71-generic
% 0.09/10.58 % CPULimit : 300
% 0.09/10.58 % WCLimit : 300
% 0.09/10.58 % DateTime : Sun Sep 20 06:02:22 UTC 2026
% 0.09/10.58 % CPUTime :
% 150.31/160.89 % SZS status Theorem for theBenchmark
% 150.31/160.89 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------