%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW968+1 : TPTP v9.2.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 : Tue May 5 05:33:29 PM UTC 2026
% Result : Theorem 1.64s 1.83s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 98 ( 29 unt; 0 def)
% Number of atoms : 261 ( 12 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 297 ( 134 ~; 130 |; 18 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 6 con; 0-5 aty)
% Number of variables : 214 ( 61 sgn 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax185,axiom,
! [X209,X210,X211,X212,X213] :
( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X212,X211,X209)),constr_cbc_dec_1(X213,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X210,name_Kas))))
& pred_attacker(tuple_client_A_in_8(X213))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X210,name_Kas)))
& pred_attacker(tuple_client_A_in_6(X210))
& pred_attacker(tuple_client_A_in_4(X212))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X211,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(X209),constr_tuple_4_get_0x30(constr_cbc_dec_4(X211,name_Kas)))
& pred_attacker(tuple_client_A_in_2(X211)) )
=> pred_attacker(tuple_client_A_out_9(name_objective1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax185) ).
fof(ax95,axiom,
! [X63,X64] : pred_eq_bitstring_bitstring(X63,X64),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
fof(ax134,axiom,
! [X119] :
( pred_attacker(X119)
=> pred_attacker(tuple_client_A_in_8(X119)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
fof(ax136,axiom,
! [X121] :
( pred_attacker(X121)
=> pred_attacker(tuple_client_A_in_6(X121)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
fof(ax138,axiom,
! [X123] :
( pred_attacker(X123)
=> pred_attacker(tuple_client_A_in_4(X123)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
fof(ax140,axiom,
! [X125] :
( pred_attacker(X125)
=> pred_attacker(tuple_client_A_in_2(X125)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax140) ).
fof(ax133,axiom,
! [X116,X117,X118] :
( pred_attacker(tuple_client_A_out_1(X116,X117,X118))
=> pred_attacker(X118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax133) ).
fof(ax181,axiom,
! [X199] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X199))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax181) ).
fof(ax186,axiom,
! [X214,X215,X216,X217,X218] :
( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X217,X216,X214)),constr_cbc_dec_1(X218,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X215,name_Kas))))
& pred_attacker(tuple_client_A_in_8(X218))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X215,name_Kas)))
& pred_attacker(tuple_client_A_in_6(X215))
& pred_attacker(tuple_client_A_in_4(X217))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X216,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(X214),constr_tuple_4_get_0x30(constr_cbc_dec_4(X216,name_Kas)))
& pred_attacker(tuple_client_A_in_2(X216)) )
=> pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X215,name_Kas))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax186) ).
fof(ax151,axiom,
! [X150] :
( pred_attacker(X150)
=> pred_attacker(constr_cbc_4_get_2_prefixes(X150)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax151) ).
fof(ax83,axiom,
! [X20,X21,X22,X23,X24] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X21,X22,X23,X24,X20)) = constr_cbc_enc_2(X21,X22,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(ax106,axiom,
! [X74] :
( pred_attacker(tuple_server_S_out_2(X74))
=> pred_attacker(X74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
fof(ax188,axiom,
! [X221,X222,X223,X224] :
( pred_attacker(tuple_server_S_in_1(X222,X223,X224))
=> pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X224,X223,name_Kab_66(X221),constr_cbc_enc_2(name_Kab_66(X221),X222,name_Kbs),name_Kas))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax188) ).
fof(ax107,axiom,
! [X75,X76,X77] :
( ( pred_attacker(X75)
& pred_attacker(X76)
& pred_attacker(X77) )
=> pred_attacker(tuple_server_S_in_1(X75,X76,X77)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax107) ).
fof(ax121,axiom,
! [X98] :
( pred_attacker(tuple_client_A_out_9(X98))
=> pred_attacker(X98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
fof(ax80,axiom,
! [X10,X11,X12] : constr_cbc_dec_2(constr_cbc_enc_2(X11,X12,X10),X10) = tuple_2(X11,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
fof(ax91,axiom,
! [X51,X52] : constr_tuple_2_get_0x30_bitstring(tuple_2(X51,X52)) = X51,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
fof(co0,conjecture,
pred_attacker(tuple_2(name_objective1,name_objective2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(ax170,axiom,
! [X187,X188] :
( ( pred_attacker(X187)
& pred_attacker(X188) )
=> pred_attacker(tuple_2(X187,X188)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax170) ).
fof(ax113,axiom,
! [X89,X90] :
( ( pred_attacker(X89)
& pred_attacker(X90) )
=> pred_attacker(constr_dec(X89,X90)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
fof(ax88,axiom,
! [X41,X42] : constr_dec(constr_enc(X42,X41),X41) = X42,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
fof(ax129,axiom,
! [X106] :
( pred_attacker(tuple_client_A_out_10(X106))
=> pred_attacker(X106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax129) ).
fof(c_0_22,plain,
! [X657,X658,X659,X660,X661] :
( ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X660,X659,X657)),constr_cbc_dec_1(X661,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X658,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X661))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X658,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X658))
| ~ pred_attacker(tuple_client_A_in_4(X660))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X659,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X657),constr_tuple_4_get_0x30(constr_cbc_dec_4(X659,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X659))
| pred_attacker(tuple_client_A_out_9(name_objective1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax185])]) ).
fof(c_0_23,plain,
! [X511,X512] : pred_eq_bitstring_bitstring(X511,X512),
inference(variable_rename,[status(thm)],[ax95]) ).
cnf(c_0_24,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X1,X2,X3)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X5,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X5,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X5))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X3),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,plain,
pred_eq_bitstring_bitstring(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_26,plain,
! [X567] :
( ~ pred_attacker(X567)
| pred_attacker(tuple_client_A_in_8(X567)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax134])]) ).
cnf(c_0_27,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_6(X5))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_25]),c_0_25])]) ).
cnf(c_0_28,plain,
( pred_attacker(tuple_client_A_in_8(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_29,plain,
! [X569] :
( ~ pred_attacker(X569)
| pred_attacker(tuple_client_A_in_6(X569)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax136])]) ).
cnf(c_0_30,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_2(X3))
| ~ pred_attacker(X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_32,plain,
! [X571] :
( ~ pred_attacker(X571)
| pred_attacker(tuple_client_A_in_4(X571)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax138])]) ).
cnf(c_0_33,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(X3)
| ~ pred_attacker(X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
( pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X573] :
( ~ pred_attacker(X573)
| pred_attacker(tuple_client_A_in_2(X573)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax140])]) ).
fof(c_0_36,plain,
! [X564,X565,X566] :
( ~ pred_attacker(tuple_client_A_out_1(X564,X565,X566))
| pred_attacker(X566) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax133])]) ).
fof(c_0_37,plain,
! [X647] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X647))),
inference(variable_rename,[status(thm)],[ax181]) ).
cnf(c_0_38,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(X2)
| ~ pred_attacker(X3)
| ~ pred_attacker(X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( pred_attacker(X3)
| ~ pred_attacker(tuple_client_A_out_1(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X1))),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3)
| ~ pred_attacker(X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
pred_attacker(name_Na(X1)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_44,plain,
! [X662,X663,X664,X665,X666] :
( ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X665,X664,X662)),constr_cbc_dec_1(X666,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X663,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X666))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X663,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X663))
| ~ pred_attacker(tuple_client_A_in_4(X665))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X664,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X662),constr_tuple_4_get_0x30(constr_cbc_dec_4(X664,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X664))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X663,name_Kas))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax186])]) ).
fof(c_0_45,plain,
! [X598] :
( ~ pred_attacker(X598)
| pred_attacker(constr_cbc_4_get_2_prefixes(X598)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax151])]) ).
fof(c_0_46,plain,
! [X468,X469,X470,X471,X472] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X469,X470,X471,X472,X468)) = constr_cbc_enc_2(X469,X470,X468),
inference(variable_rename,[status(thm)],[ax83]) ).
fof(c_0_47,plain,
! [X522] :
( ~ pred_attacker(tuple_server_S_out_2(X522))
| pred_attacker(X522) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax106])]) ).
fof(c_0_48,plain,
! [X669,X670,X671,X672] :
( ~ pred_attacker(tuple_server_S_in_1(X670,X671,X672))
| pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X672,X671,name_Kab_66(X669),constr_cbc_enc_2(name_Kab_66(X669),X670,name_Kbs),name_Kas))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax188])]) ).
cnf(c_0_49,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X5,name_Kas)))))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X1,X2,X3)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X5,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X5,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X5))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X3),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( pred_attacker(constr_cbc_4_get_2_prefixes(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X5)) = constr_cbc_enc_2(X1,X2,X5),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_server_S_out_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X3,X2,name_Kab_66(X4),constr_cbc_enc_2(name_Kab_66(X4),X1,name_Kbs),name_Kas)))
| ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
cnf(c_0_56,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X5,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_6(X5))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_25]),c_0_25]),c_0_25]),c_0_25])]) ).
cnf(c_0_57,plain,
( pred_attacker(constr_cbc_enc_2(X1,X2,X3))
| ~ pred_attacker(constr_cbc_enc_4(X1,X2,X4,X5,X3)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,plain,
( pred_attacker(constr_cbc_enc_4(X1,X2,name_Kab_66(X3),constr_cbc_enc_2(name_Kab_66(X3),X4,name_Kbs),name_Kas))
| ~ pred_attacker(tuple_server_S_in_1(X4,X2,X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_59,plain,
! [X523,X524,X525] :
( ~ pred_attacker(X523)
| ~ pred_attacker(X524)
| ~ pred_attacker(X525)
| pred_attacker(tuple_server_S_in_1(X523,X524,X525)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax107])]) ).
fof(c_0_60,plain,
! [X546] :
( ~ pred_attacker(tuple_client_A_out_9(X546))
| pred_attacker(X546) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax121])]) ).
cnf(c_0_61,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_43]) ).
cnf(c_0_62,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_2(X3))
| ~ pred_attacker(X4) ),
inference(spm,[status(thm)],[c_0_56,c_0_28]) ).
cnf(c_0_63,plain,
( pred_attacker(constr_cbc_enc_2(X1,X2,name_Kas))
| ~ pred_attacker(tuple_server_S_in_1(X3,X2,X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
( pred_attacker(tuple_server_S_in_1(X1,X2,X3))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_9(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
pred_attacker(tuple_client_A_out_9(name_objective1)),
inference(spm,[status(thm)],[c_0_61,c_0_43]) ).
cnf(c_0_67,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_2(X3))
| ~ pred_attacker(X4)
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_31]) ).
cnf(c_0_68,plain,
( pred_attacker(constr_cbc_enc_2(X1,X2,name_Kas))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
pred_attacker(name_objective1),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(X3)
| ~ pred_attacker(X1)
| ~ pred_attacker(X4) ),
inference(spm,[status(thm)],[c_0_67,c_0_34]) ).
cnf(c_0_71,plain,
( pred_attacker(constr_cbc_enc_2(name_objective1,X1,name_Kas))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| ~ pred_attacker(X3)
| ~ pred_attacker(X4) ),
inference(spm,[status(thm)],[c_0_70,c_0_39]) ).
cnf(c_0_73,plain,
( pred_attacker(constr_cbc_enc_2(name_objective1,name_objective1,name_Kas))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_69]) ).
fof(c_0_74,plain,
! [X458,X459,X460] : constr_cbc_dec_2(constr_cbc_enc_2(X459,X460,X458),X458) = tuple_2(X459,X460),
inference(variable_rename,[status(thm)],[ax80]) ).
fof(c_0_75,plain,
! [X499,X500] : constr_tuple_2_get_0x30_bitstring(tuple_2(X499,X500)) = X499,
inference(variable_rename,[status(thm)],[ax91]) ).
cnf(c_0_76,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_43]) ).
cnf(c_0_77,plain,
pred_attacker(constr_cbc_enc_2(name_objective1,name_objective1,name_Kas)),
inference(spm,[status(thm)],[c_0_73,c_0_43]) ).
cnf(c_0_78,plain,
constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X3),X3) = tuple_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_79,plain,
constr_tuple_2_get_0x30_bitstring(tuple_2(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_80,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,name_objective1)))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79]) ).
fof(c_0_81,negated_conjecture,
~ pred_attacker(tuple_2(name_objective1,name_objective2)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
fof(c_0_82,plain,
! [X635,X636] :
( ~ pred_attacker(X635)
| ~ pred_attacker(X636)
| pred_attacker(tuple_2(X635,X636)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax170])]) ).
fof(c_0_83,plain,
! [X537,X538] :
( ~ pred_attacker(X537)
| ~ pred_attacker(X538)
| pred_attacker(constr_dec(X537,X538)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])]) ).
fof(c_0_84,plain,
! [X489,X490] : constr_dec(constr_enc(X490,X489),X489) = X490,
inference(variable_rename,[status(thm)],[ax88]) ).
fof(c_0_85,plain,
! [X554] :
( ~ pred_attacker(tuple_client_A_out_10(X554))
| pred_attacker(X554) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax129])]) ).
cnf(c_0_86,plain,
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,name_objective1)))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_43]) ).
cnf(c_0_87,negated_conjecture,
~ pred_attacker(tuple_2(name_objective1,name_objective2)),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_88,plain,
( pred_attacker(tuple_2(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_89,plain,
( pred_attacker(constr_dec(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_90,plain,
constr_dec(constr_enc(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_91,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_10(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_92,plain,
pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,name_objective1))),
inference(spm,[status(thm)],[c_0_86,c_0_43]) ).
cnf(c_0_93,negated_conjecture,
( ~ pred_attacker(name_objective2)
| ~ pred_attacker(name_objective1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_enc(X1,X2))
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
pred_attacker(constr_enc(name_objective2,name_objective1)),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
~ pred_attacker(name_objective2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_69])]) ).
cnf(c_0_97,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_69])]),c_0_96]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW968+1 : TPTP v9.2.1. Released v7.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n005.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 07:37:00 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.64/1.83 % Version : CSE_E---1.7
% 1.64/1.83 % Problem : theBenchmark.p
% 1.64/1.83 % SZS status Theorem for theBenchmark.p
% 1.64/1.83 % SZS output start CNFRefutation
% See solution above
% 1.64/1.83 % Total time : 1.372s
%------------------------------------------------------------------------------