TSTP Solution File: SWW960+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW960+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:19:21 EDT 2023
% Result : Theorem 0.62s 0.74s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 96
% Syntax : Number of formulae : 228 ( 52 unt; 55 typ; 0 def)
% Number of atoms : 395 ( 35 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 395 ( 173 ~; 176 |; 20 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 39 >; 15 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 50 ( 50 usr; 16 con; 0-2 aty)
% Number of variables : 282 ( 64 sgn; 116 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
constr_CONST_0x30: $i ).
tff(decl_23,type,
constr_CONST_1: $i ).
tff(decl_24,type,
constr_CONST_2: $i ).
tff(decl_25,type,
constr_CONST_3: $i ).
tff(decl_26,type,
constr_CONST_4: $i ).
tff(decl_27,type,
name_A: $i ).
tff(decl_28,type,
name_B: $i ).
tff(decl_29,type,
name_I: $i ).
tff(decl_30,type,
name_c: $i ).
tff(decl_31,type,
name_objective: $i ).
tff(decl_32,type,
name_skA: $i ).
tff(decl_33,type,
name_skB: $i ).
tff(decl_34,type,
name_skS: $i ).
tff(decl_35,type,
constr_pkey: $i > $i ).
tff(decl_36,type,
constr_aenc: ( $i * $i ) > $i ).
tff(decl_37,type,
constr_adec: ( $i * $i ) > $i ).
tff(decl_38,type,
constr_enc: ( $i * $i ) > $i ).
tff(decl_39,type,
constr_dec: ( $i * $i ) > $i ).
tff(decl_40,type,
constr_sign: ( $i * $i ) > $i ).
tff(decl_41,type,
constr_getmess: $i > $i ).
tff(decl_42,type,
constr_checksign: ( $i * $i ) > $i ).
tff(decl_43,type,
tuple_2: ( $i * $i ) > $i ).
tff(decl_44,type,
constr_tuple_2_get_1_bitstring: $i > $i ).
tff(decl_45,type,
constr_tuple_2_get_0x30_bitstring: $i > $i ).
tff(decl_46,type,
constr_tuple_2_get_1: $i > $i ).
tff(decl_47,type,
constr_tuple_2_get_0x30: $i > $i ).
tff(decl_48,type,
pred_eq_bitstring_bitstring: ( $i * $i ) > $o ).
tff(decl_49,type,
pred_attacker: $i > $o ).
tff(decl_50,type,
tuple_true: $i ).
tff(decl_51,type,
tuple_out_3: $i > $i ).
tff(decl_52,type,
tuple_out_2: $i > $i ).
tff(decl_53,type,
tuple_out_1: $i > $i ).
tff(decl_54,type,
tuple_key_retrieval_server_out_2: $i > $i ).
tff(decl_55,type,
tuple_key_retrieval_server_in_1: ( $i * $i ) > $i ).
tff(decl_56,type,
tuple_key_register_server_in_1: ( $i * $i ) > $i ).
tff(decl_57,type,
tuple_false: $i ).
tff(decl_58,type,
tuple_client_B_out_6: $i > $i ).
tff(decl_59,type,
tuple_client_B_out_4: $i > $i ).
tff(decl_60,type,
tuple_client_B_out_1: ( $i * $i ) > $i ).
tff(decl_61,type,
tuple_client_B_in_5: $i > $i ).
tff(decl_62,type,
tuple_client_B_in_3: $i > $i ).
tff(decl_63,type,
tuple_client_B_in_2: $i > $i ).
tff(decl_64,type,
tuple_client_A_out_5: $i > $i ).
tff(decl_65,type,
tuple_client_A_out_3: $i > $i ).
tff(decl_66,type,
tuple_client_A_out_1: ( $i * $i ) > $i ).
tff(decl_67,type,
tuple_client_A_in_4: $i > $i ).
tff(decl_68,type,
tuple_client_A_in_2: $i > $i ).
tff(decl_69,type,
pred_mess: ( $i * $i ) > $o ).
tff(decl_70,type,
pred_equal: ( $i * $i ) > $o ).
tff(decl_71,type,
name_new0x2Dname: $i > $i ).
tff(decl_72,type,
tuple_keys: ( $i * $i ) > $i ).
tff(decl_73,type,
pred_table: $i > $o ).
tff(decl_74,type,
name_Na: $i > $i ).
tff(decl_75,type,
name_Nb: $i > $i ).
tff(decl_76,type,
esk1_0: $i ).
fof(ax165,axiom,
! [X107,X108,X109,X110] :
( ( pred_eq_bitstring_bitstring(name_Nb(X107),constr_adec(X109,name_skB))
& pred_attacker(tuple_client_B_in_5(X109))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X108,name_skB)))
& pred_attacker(tuple_client_B_in_3(X108))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X110,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(X110)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).
fof(ax86,axiom,
! [X17,X18] : pred_eq_bitstring_bitstring(X17,X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
fof(ax161,axiom,
! [X99,X100] :
( ( pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X100,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_2(X100)) )
=> pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X99),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X100,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax161) ).
fof(ax119,axiom,
! [X61] :
( pred_attacker(X61)
=> pred_attacker(tuple_client_B_in_5(X61)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
fof(ax128,axiom,
! [X70] :
( pred_attacker(tuple_client_A_out_3(X70))
=> pred_attacker(X70) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax128) ).
fof(ax166,axiom,
! [X111,X112,X113] :
( ( pred_table(tuple_keys(X111,X112))
& pred_attacker(tuple_key_retrieval_server_in_1(X113,X111)) )
=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X111,X112),name_skS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax166) ).
fof(ax102,axiom,
! [X34,X35] :
( ( pred_attacker(X34)
& pred_attacker(X35) )
=> pred_attacker(tuple_key_retrieval_server_in_1(X34,X35)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
fof(ax121,axiom,
! [X63] :
( pred_attacker(X63)
=> pred_attacker(tuple_client_B_in_3(X63)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
fof(ax162,axiom,
! [X101,X102,X103] :
( ( pred_eq_bitstring_bitstring(name_Na(X101),constr_tuple_2_get_0x30(constr_adec(X102,name_skA)))
& pred_attacker(tuple_client_A_in_4(X102))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X103,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_2(X103)) )
=> pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X102,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X103,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax162) ).
fof(ax81,axiom,
! [X7,X8] : constr_checksign(constr_sign(X8,X7),constr_pkey(X7)) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(ax154,axiom,
! [X98] : pred_attacker(name_new0x2Dname(X98)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax154) ).
fof(ax123,axiom,
! [X65] :
( pred_attacker(X65)
=> pred_attacker(tuple_client_B_in_2(X65)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
fof(ax126,axiom,
! [X68] :
( pred_attacker(tuple_client_A_out_5(X68))
=> pred_attacker(X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
fof(ax82,axiom,
! [X9,X10] : constr_tuple_2_get_1_bitstring(tuple_2(X9,X10)) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(ax101,axiom,
! [X33] :
( pred_attacker(tuple_key_retrieval_server_out_2(X33))
=> pred_attacker(X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
fof(ax164,axiom,
! [X104,X105,X106] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X105,name_skB)))
& pred_attacker(tuple_client_B_in_3(X105))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X106,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(X106)) )
=> pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X105,name_skB)),name_Nb(X104)),constr_tuple_2_get_1_bitstring(constr_checksign(X106,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax164) ).
fof(ax134,axiom,
! [X79] :
( pred_attacker(X79)
=> pred_attacker(tuple_client_A_in_2(X79)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
fof(ax167,axiom,
! [X114,X115] :
( ( X114 != name_B
& X114 != name_A
& pred_attacker(tuple_key_register_server_in_1(X114,X115)) )
=> pred_table(tuple_keys(X114,X115)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax167) ).
fof(ax106,axiom,
! [X42,X43] :
( pred_attacker(tuple_key_register_server_in_1(X42,X43))
=> pred_attacker(X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
fof(ax78,axiom,
! [X1,X2] : constr_adec(constr_aenc(X2,constr_pkey(X1)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(ax105,axiom,
! [X40,X41] :
( ( pred_attacker(X40)
& pred_attacker(X41) )
=> pred_attacker(tuple_key_register_server_in_1(X40,X41)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
fof(ax113,axiom,
! [X52] :
( pred_attacker(tuple_client_B_out_6(X52))
=> pred_attacker(X52) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
fof(ax83,axiom,
! [X11,X12] : constr_tuple_2_get_0x30_bitstring(tuple_2(X11,X12)) = X11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(ax138,axiom,
! [X85,X86] :
( ( pred_attacker(X85)
& pred_attacker(X86) )
=> pred_attacker(constr_adec(X85,X86)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
fof(ax97,axiom,
! [X29] :
( pred_attacker(tuple_out_2(X29))
=> pred_attacker(X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).
fof(ax108,axiom,
! [X46] :
( pred_attacker(X46)
=> pred_attacker(constr_getmess(X46)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax108) ).
fof(ax80,axiom,
! [X5,X6] : constr_getmess(constr_sign(X6,X5)) = X6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
fof(ax59,axiom,
name_B != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(ax53,axiom,
name_A != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(ax93,axiom,
! [X25] :
( pred_attacker(X25)
=> pred_attacker(constr_pkey(X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(ax137,axiom,
! [X83,X84] :
( ( pred_attacker(X83)
& pred_attacker(X84) )
=> pred_attacker(constr_aenc(X83,X84)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax137) ).
fof(ax158,axiom,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax158) ).
fof(ax156,axiom,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax156) ).
fof(ax151,axiom,
pred_attacker(name_B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax151) ).
fof(ax145,axiom,
! [X89,X90] :
( pred_attacker(tuple_2(X89,X90))
=> pred_attacker(X89) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax145) ).
fof(co0,conjecture,
! [X116] : pred_attacker(tuple_2(name_Nb(X116),name_objective)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(ax155,axiom,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax155) ).
fof(ax152,axiom,
pred_attacker(name_A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax152) ).
fof(ax144,axiom,
! [X87,X88] :
( ( pred_attacker(X87)
& pred_attacker(X88) )
=> pred_attacker(tuple_2(X87,X88)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax144) ).
fof(ax132,axiom,
! [X77] :
( pred_attacker(X77)
=> pred_attacker(tuple_client_A_in_4(X77)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax132) ).
fof(ax115,axiom,
! [X54] :
( pred_attacker(tuple_client_B_out_4(X54))
=> pred_attacker(X54) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
fof(c_0_41,plain,
! [X223,X224,X225,X226] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X223),constr_adec(X225,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X225))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X224,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X224))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X226,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X226))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax165])]) ).
fof(c_0_42,plain,
! [X133,X134] : pred_eq_bitstring_bitstring(X133,X134),
inference(variable_rename,[status(thm)],[ax86]) ).
fof(c_0_43,plain,
! [X215,X216] :
( ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X216,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_2(X216))
| pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X215),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X216,constr_pkey(name_skS)))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax161])]) ).
cnf(c_0_44,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X3,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X4,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,plain,
pred_eq_bitstring_bitstring(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_46,plain,
! [X177] :
( ~ pred_attacker(X177)
| pred_attacker(tuple_client_B_in_5(X177)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax119])]) ).
fof(c_0_47,plain,
! [X186] :
( ~ pred_attacker(tuple_client_A_out_3(X186))
| pred_attacker(X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax128])]) ).
cnf(c_0_48,plain,
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X2),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_49,plain,
! [X227,X228,X229] :
( ~ pred_table(tuple_keys(X227,X228))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X229,X227))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X227,X228),name_skS))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax166])]) ).
fof(c_0_50,plain,
! [X150,X151] :
( ~ pred_attacker(X150)
| ~ pred_attacker(X151)
| pred_attacker(tuple_key_retrieval_server_in_1(X150,X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax102])]) ).
cnf(c_0_51,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_attacker(tuple_client_B_in_3(X3))
| ~ pred_attacker(tuple_client_B_in_2(X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_45]),c_0_45])]) ).
cnf(c_0_52,plain,
( pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_53,plain,
! [X179] :
( ~ pred_attacker(X179)
| pred_attacker(tuple_client_B_in_3(X179)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax121])]) ).
fof(c_0_54,plain,
! [X217,X218,X219] :
( ~ pred_eq_bitstring_bitstring(name_Na(X217),constr_tuple_2_get_0x30(constr_adec(X218,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X218))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X219,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_2(X219))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X218,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X219,constr_pkey(name_skS)))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax162])]) ).
cnf(c_0_55,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X2),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_45])]) ).
fof(c_0_57,plain,
! [X123,X124] : constr_checksign(constr_sign(X124,X123),constr_pkey(X123)) = X124,
inference(variable_rename,[status(thm)],[ax81]) ).
cnf(c_0_58,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_table(tuple_keys(X1,X2))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,plain,
( pred_attacker(tuple_key_retrieval_server_in_1(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_60,plain,
! [X214] : pred_attacker(name_new0x2Dname(X214)),
inference(variable_rename,[status(thm)],[ax154]) ).
cnf(c_0_61,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,plain,
( pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_63,plain,
! [X181] :
( ~ pred_attacker(X181)
| pred_attacker(tuple_client_B_in_2(X181)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax123])]) ).
fof(c_0_64,plain,
! [X184] :
( ~ pred_attacker(tuple_client_A_out_5(X184))
| pred_attacker(X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax126])]) ).
cnf(c_0_65,plain,
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS))))))
| ~ pred_eq_bitstring_bitstring(name_Na(X1),constr_tuple_2_get_0x30(constr_adec(X2,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_2(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,plain,
constr_checksign(constr_sign(X1,X2),constr_pkey(X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_68,plain,
! [X125,X126] : constr_tuple_2_get_1_bitstring(tuple_2(X125,X126)) = X126,
inference(variable_rename,[status(thm)],[ax82]) ).
fof(c_0_69,plain,
! [X149] :
( ~ pred_attacker(tuple_key_retrieval_server_out_2(X149))
| pred_attacker(X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax101])]) ).
cnf(c_0_70,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_table(tuple_keys(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_71,plain,
pred_attacker(name_new0x2Dname(X1)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X1))
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,plain,
( pred_attacker(tuple_client_B_in_2(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_74,plain,
! [X220,X221,X222] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X221,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X221))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X222,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X222))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X221,name_skB)),name_Nb(X220)),constr_tuple_2_get_1_bitstring(constr_checksign(X222,constr_pkey(name_skS)))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax164])]) ).
cnf(c_0_75,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_5(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_76,plain,
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_2(X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_45]),c_0_45])]) ).
cnf(c_0_77,plain,
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(X2)))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS))) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_78,plain,
constr_tuple_2_get_1_bitstring(tuple_2(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_79,plain,
! [X195] :
( ~ pred_attacker(X195)
| pred_attacker(tuple_client_A_in_2(X195)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax134])]) ).
cnf(c_0_80,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_81,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_table(tuple_keys(X1,X2))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_82,plain,
! [X230,X231] :
( X230 = name_B
| X230 = name_A
| ~ pred_attacker(tuple_key_register_server_in_1(X230,X231))
| pred_table(tuple_keys(X230,X231)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax167])]) ).
fof(c_0_83,plain,
! [X158,X159] :
( ~ pred_attacker(tuple_key_register_server_in_1(X158,X159))
| pred_attacker(X158) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax106])]) ).
cnf(c_0_84,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_85,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X3)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_87,plain,
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X3,X2),name_skS))) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,plain,
( pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,plain,
( pred_attacker(constr_sign(tuple_2(X1,X2),name_skS))
| ~ pred_table(tuple_keys(X1,X2))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_90,plain,
( X1 = name_B
| X1 = name_A
| pred_table(tuple_keys(X1,X2))
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_91,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_92,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_71]) ).
cnf(c_0_93,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X3)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_45]),c_0_45])]) ).
fof(c_0_94,plain,
! [X117,X118] : constr_adec(constr_aenc(X118,constr_pkey(X117)),X117) = X118,
inference(variable_rename,[status(thm)],[ax78]) ).
cnf(c_0_95,plain,
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(X2)))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ),
inference(spm,[status(thm)],[c_0_86,c_0_67]) ).
cnf(c_0_96,plain,
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2))
| ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS)) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_97,plain,
( X1 = name_B
| X1 = name_A
| pred_attacker(constr_sign(tuple_2(X1,X2),name_skS))
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
fof(c_0_98,plain,
! [X156,X157] :
( ~ pred_attacker(X156)
| ~ pred_attacker(X157)
| pred_attacker(tuple_key_register_server_in_1(X156,X157)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])]) ).
fof(c_0_99,plain,
! [X168] :
( ~ pred_attacker(tuple_client_B_out_6(X168))
| pred_attacker(X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])]) ).
cnf(c_0_100,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_71]) ).
cnf(c_0_101,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X3))))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X3,name_skS)))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(spm,[status(thm)],[c_0_93,c_0_67]) ).
cnf(c_0_102,plain,
constr_adec(constr_aenc(X1,constr_pkey(X2)),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_103,plain,
! [X127,X128] : constr_tuple_2_get_0x30_bitstring(tuple_2(X127,X128)) = X127,
inference(variable_rename,[status(thm)],[ax83]) ).
cnf(c_0_104,plain,
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X3,X2),name_skS)))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_78]) ).
fof(c_0_105,plain,
! [X201,X202] :
( ~ pred_attacker(X201)
| ~ pred_attacker(X202)
| pred_attacker(constr_adec(X201,X202)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax138])]) ).
cnf(c_0_106,plain,
( X1 = name_A
| X1 = name_B
| pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X3))
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X3)) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_107,plain,
( pred_attacker(tuple_key_register_server_in_1(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_108,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_B_out_6(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_109,plain,
pred_attacker(tuple_client_B_out_6(name_objective)),
inference(spm,[status(thm)],[c_0_100,c_0_71]) ).
cnf(c_0_110,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(X1),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X3))))
| ~ pred_attacker(tuple_client_B_in_3(constr_aenc(X1,constr_pkey(name_skB))))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X3,name_skS))) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,plain,
constr_tuple_2_get_0x30_bitstring(tuple_2(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_112,plain,
! [X145] :
( ~ pred_attacker(tuple_out_2(X145))
| pred_attacker(X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax97])]) ).
fof(c_0_113,plain,
! [X162] :
( ~ pred_attacker(X162)
| pred_attacker(constr_getmess(X162)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax108])]) ).
fof(c_0_114,plain,
! [X121,X122] : constr_getmess(constr_sign(X122,X121)) = X122,
inference(variable_rename,[status(thm)],[ax80]) ).
cnf(c_0_115,plain,
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2))
| ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ),
inference(spm,[status(thm)],[c_0_104,c_0_88]) ).
cnf(c_0_116,plain,
( pred_attacker(constr_adec(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_117,plain,
( X1 = name_B
| X1 = name_A
| pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X3))
| ~ pred_attacker(X3)
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,plain,
pred_attacker(name_objective),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_119,plain,
name_B != name_objective,
inference(split_conjunct,[status(thm)],[ax59]) ).
cnf(c_0_120,plain,
name_A != name_objective,
inference(split_conjunct,[status(thm)],[ax53]) ).
fof(c_0_121,plain,
! [X141] :
( ~ pred_attacker(X141)
| pred_attacker(constr_pkey(X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])]) ).
cnf(c_0_122,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(X1,name_Nb(X2)),constr_tuple_2_get_1_bitstring(X3))))
| ~ pred_attacker(tuple_client_B_in_3(constr_aenc(tuple_2(X1,X4),constr_pkey(name_skB))))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X3,name_skS))) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_123,plain,
! [X199,X200] :
( ~ pred_attacker(X199)
| ~ pred_attacker(X200)
| pred_attacker(constr_aenc(X199,X200)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax137])]) ).
cnf(c_0_124,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_out_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_125,plain,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
inference(split_conjunct,[status(thm)],[ax158]) ).
cnf(c_0_126,plain,
( pred_attacker(constr_getmess(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_127,plain,
constr_getmess(constr_sign(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_128,plain,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))),
inference(split_conjunct,[status(thm)],[ax156]) ).
cnf(c_0_129,plain,
pred_attacker(name_B),
inference(split_conjunct,[status(thm)],[ax151]) ).
cnf(c_0_130,plain,
( X1 = name_A
| X1 = name_B
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),X3))
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X3))
| ~ pred_attacker(tuple_client_A_in_4(X2)) ),
inference(spm,[status(thm)],[c_0_115,c_0_97]) ).
cnf(c_0_131,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_aenc(X1,constr_pkey(X2)))
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_102]) ).
cnf(c_0_132,plain,
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2))
| ~ pred_attacker(X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_133,plain,
( pred_attacker(constr_pkey(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_134,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(X1,name_Nb(X2)),constr_tuple_2_get_1_bitstring(X3))))
| ~ pred_attacker(constr_aenc(tuple_2(X1,X4),constr_pkey(name_skB)))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X3,name_skS))) ),
inference(spm,[status(thm)],[c_0_122,c_0_62]) ).
cnf(c_0_135,plain,
( pred_attacker(constr_aenc(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_136,plain,
pred_attacker(constr_pkey(name_skB)),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_137,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_sign(X1,X2)) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_138,plain,
pred_attacker(constr_sign(tuple_2(name_B,constr_pkey(name_skB)),name_skS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_128]),c_0_129])]) ).
cnf(c_0_139,plain,
( X1 = name_B
| X1 = name_A
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),X3))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(X3)
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_107]) ).
fof(c_0_140,plain,
! [X205,X206] :
( ~ pred_attacker(tuple_2(X205,X206))
| pred_attacker(X205) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax145])]) ).
cnf(c_0_141,plain,
( pred_attacker(tuple_2(name_Na(X1),name_A))
| ~ pred_attacker(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).
cnf(c_0_142,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(X1,name_Nb(X2)),constr_tuple_2_get_1_bitstring(X3))))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X3,name_skS)))
| ~ pred_attacker(tuple_2(X1,X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_143,plain,
pred_attacker(tuple_2(name_B,constr_pkey(name_skB))),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_144,plain,
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_145,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_146,plain,
pred_attacker(tuple_2(name_Na(X1),name_A)),
inference(spm,[status(thm)],[c_0_141,c_0_71]) ).
cnf(c_0_147,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(name_B,name_Nb(X1)),constr_tuple_2_get_1_bitstring(X2))))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X2,name_skS))) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
fof(c_0_148,negated_conjecture,
~ ! [X116] : pred_attacker(tuple_2(name_Nb(X116),name_objective)),
inference(assume_negation,[status(cth)],[co0]) ).
cnf(c_0_149,plain,
( pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_144]),c_0_133]) ).
cnf(c_0_150,plain,
pred_attacker(name_Na(X1)),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(name_B,name_Nb(X1)),X2)))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X3,X2),name_skS))) ),
inference(spm,[status(thm)],[c_0_147,c_0_78]) ).
cnf(c_0_152,plain,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
inference(split_conjunct,[status(thm)],[ax155]) ).
cnf(c_0_153,plain,
pred_attacker(name_A),
inference(split_conjunct,[status(thm)],[ax152]) ).
fof(c_0_154,negated_conjecture,
~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])]) ).
fof(c_0_155,plain,
! [X203,X204] :
( ~ pred_attacker(X203)
| ~ pred_attacker(X204)
| pred_attacker(tuple_2(X203,X204)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax144])]) ).
cnf(c_0_156,plain,
( pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
fof(c_0_157,plain,
! [X193] :
( ~ pred_attacker(X193)
| pred_attacker(tuple_client_A_in_4(X193)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax132])]) ).
fof(c_0_158,plain,
! [X170] :
( ~ pred_attacker(tuple_client_B_out_4(X170))
| pred_attacker(X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax115])]) ).
cnf(c_0_159,plain,
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(name_B,name_Nb(X1)),X2)))
| ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS)) ),
inference(spm,[status(thm)],[c_0_151,c_0_73]) ).
cnf(c_0_160,plain,
pred_attacker(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_152]),c_0_153])]) ).
cnf(c_0_161,negated_conjecture,
~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_162,plain,
( pred_attacker(tuple_2(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_163,plain,
( pred_attacker(constr_tuple_2_get_1_bitstring(X1))
| ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X1,constr_pkey(name_skA)))) ),
inference(spm,[status(thm)],[c_0_156,c_0_102]) ).
cnf(c_0_164,plain,
( pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_165,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_B_out_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_166,plain,
pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(name_B,name_Nb(X1)),constr_pkey(name_skA)))),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_167,negated_conjecture,
( ~ pred_attacker(name_Nb(esk1_0))
| ~ pred_attacker(name_objective) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_168,plain,
( pred_attacker(constr_tuple_2_get_1_bitstring(X1))
| ~ pred_attacker(constr_aenc(X1,constr_pkey(name_skA))) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_169,plain,
pred_attacker(constr_aenc(tuple_2(name_B,name_Nb(X1)),constr_pkey(name_skA))),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_170,negated_conjecture,
~ pred_attacker(name_Nb(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_118])]) ).
cnf(c_0_171,plain,
pred_attacker(name_Nb(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_78]) ).
cnf(c_0_172,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW960+1 : TPTP v8.1.2. Released v7.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 21:28:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.62/0.74 % Version : CSE_E---1.5
% 0.62/0.74 % Problem : theBenchmark.p
% 0.62/0.74 % Proof found
% 0.62/0.74 % SZS status Theorem for theBenchmark.p
% 0.62/0.74 % SZS output start Proof
% See solution above
% 0.70/0.75 % Total time : 0.161000 s
% 0.70/0.75 % SZS output end Proof
% 0.70/0.75 % Total time : 0.165000 s
%------------------------------------------------------------------------------