TSTP Solution File: SWW960+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW960+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:11:45 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 47
% Syntax : Number of formulae : 182 ( 50 unt; 0 def)
% Number of atoms : 410 ( 33 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 428 ( 200 ~; 172 |; 19 &)
% ( 14 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 15 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-2 aty)
% Number of variables : 246 ( 49 sgn 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax165) ).
fof(ax86,axiom,
! [X17,X18] : pred_eq_bitstring_bitstring(X17,X18),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax86) ).
fof(ax121,axiom,
! [X63] :
( pred_attacker(X63)
=> pred_attacker(tuple_client_B_in_3(X63)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax121) ).
fof(ax154,axiom,
! [X98] : pred_attacker(name_new0x2Dname(X98)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax154) ).
fof(ax123,axiom,
! [X65] :
( pred_attacker(X65)
=> pred_attacker(tuple_client_B_in_2(X65)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax123) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax167) ).
fof(ax105,axiom,
! [X40,X41] :
( ( pred_attacker(X40)
& pred_attacker(X41) )
=> pred_attacker(tuple_key_register_server_in_1(X40,X41)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax105) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax161) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax166) ).
fof(ax104,axiom,
! [X38,X39] :
( pred_attacker(tuple_key_retrieval_server_in_1(X38,X39))
=> pred_attacker(X39) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax104) ).
fof(ax128,axiom,
! [X70] :
( pred_attacker(tuple_client_A_out_3(X70))
=> pred_attacker(X70) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax128) ).
fof(ax102,axiom,
! [X34,X35] :
( ( pred_attacker(X34)
& pred_attacker(X35) )
=> pred_attacker(tuple_key_retrieval_server_in_1(X34,X35)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax102) ).
fof(ax81,axiom,
! [X7,X8] : constr_checksign(constr_sign(X8,X7),constr_pkey(X7)) = X8,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax81) ).
fof(ax119,axiom,
! [X61] :
( pred_attacker(X61)
=> pred_attacker(tuple_client_B_in_5(X61)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax119) ).
fof(ax82,axiom,
! [X9,X10] : constr_tuple_2_get_1_bitstring(tuple_2(X9,X10)) = X10,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax82) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax162) ).
fof(ax134,axiom,
! [X79] :
( pred_attacker(X79)
=> pred_attacker(tuple_client_A_in_2(X79)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax134) ).
fof(ax101,axiom,
! [X33] :
( pred_attacker(tuple_key_retrieval_server_out_2(X33))
=> pred_attacker(X33) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax101) ).
fof(ax113,axiom,
! [X52] :
( pred_attacker(tuple_client_B_out_6(X52))
=> pred_attacker(X52) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax113) ).
fof(ax53,axiom,
name_A != name_objective,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax53) ).
fof(ax59,axiom,
name_B != name_objective,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax59) ).
fof(ax138,axiom,
! [X85,X86] :
( ( pred_attacker(X85)
& pred_attacker(X86) )
=> pred_attacker(constr_adec(X85,X86)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax138) ).
fof(ax78,axiom,
! [X1,X2] : constr_adec(constr_aenc(X2,constr_pkey(X1)),X1) = X2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax78) ).
fof(ax93,axiom,
! [X25] :
( pred_attacker(X25)
=> pred_attacker(constr_pkey(X25)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax93) ).
fof(ax126,axiom,
! [X68] :
( pred_attacker(tuple_client_A_out_5(X68))
=> pred_attacker(X68) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax126) ).
fof(ax145,axiom,
! [X89,X90] :
( pred_attacker(tuple_2(X89,X90))
=> pred_attacker(X89) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax145) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax164) ).
fof(ax155,axiom,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax155) ).
fof(ax152,axiom,
pred_attacker(name_A),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax152) ).
fof(co0,conjecture,
! [X116] : pred_attacker(tuple_2(name_Nb(X116),name_objective)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co0) ).
fof(ax144,axiom,
! [X87,X88] :
( ( pred_attacker(X87)
& pred_attacker(X88) )
=> pred_attacker(tuple_2(X87,X88)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax144) ).
fof(ax132,axiom,
! [X77] :
( pred_attacker(X77)
=> pred_attacker(tuple_client_A_in_4(X77)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax132) ).
fof(ax115,axiom,
! [X54] :
( pred_attacker(tuple_client_B_out_4(X54))
=> pred_attacker(X54) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax115) ).
fof(c_0_33,plain,
! [X111,X112,X113,X114] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X111),constr_adec(X113,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X113))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X112,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X112))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X114,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X114))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax165])])])]) ).
fof(c_0_34,plain,
! [X19,X20] : pred_eq_bitstring_bitstring(X19,X20),
inference(variable_rename,[status(thm)],[ax86]) ).
fof(c_0_35,plain,
( ~ epred2_0
<=> ! [X2] : ~ pred_attacker(tuple_client_B_in_3(X2)) ),
introduced(definition) ).
fof(c_0_36,plain,
! [X64] :
( ~ pred_attacker(X64)
| pred_attacker(tuple_client_B_in_3(X64)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax121])]) ).
cnf(c_0_37,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X3))
| ~ pred_eq_bitstring_bitstring(name_Nb(X4),constr_adec(X3,name_skB)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
pred_eq_bitstring_bitstring(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
( epred2_0
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(split_equiv,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_41,plain,
! [X99] : pred_attacker(name_new0x2Dname(X99)),
inference(variable_rename,[status(thm)],[ax154]) ).
fof(c_0_42,plain,
( ~ epred3_0
<=> ! [X1] : ~ pred_attacker(tuple_client_B_in_2(X1)) ),
introduced(definition) ).
fof(c_0_43,plain,
! [X66] :
( ~ pred_attacker(X66)
| pred_attacker(tuple_client_B_in_2(X66)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax123])]) ).
fof(c_0_44,plain,
! [X116,X117] :
( X116 = name_B
| X116 = name_A
| ~ pred_attacker(tuple_key_register_server_in_1(X116,X117))
| pred_table(tuple_keys(X116,X117)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax167])]) ).
fof(c_0_45,plain,
! [X42,X43] :
( ~ pred_attacker(X42)
| ~ pred_attacker(X43)
| pred_attacker(tuple_key_register_server_in_1(X42,X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])]) ).
fof(c_0_46,plain,
( ~ epred1_0
<=> ! [X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X3)) ) ),
introduced(definition) ).
cnf(c_0_47,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X3))
| ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_attacker(tuple_client_B_in_2(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_38]),c_0_38])]) ).
cnf(c_0_48,plain,
( epred2_0
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,plain,
pred_attacker(name_new0x2Dname(X1)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( epred3_0
| ~ pred_attacker(tuple_client_B_in_2(X1)) ),
inference(split_equiv,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( pred_attacker(tuple_client_B_in_2(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_52,plain,
! [X101,X102] :
( ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X102,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_2(X102))
| pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X101),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X102,constr_pkey(name_skS)))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax161])]) ).
fof(c_0_53,plain,
! [X114,X115,X116] :
( ~ pred_table(tuple_keys(X114,X115))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X116,X114))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X114,X115),name_skS))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax166])])])]) ).
cnf(c_0_54,plain,
( pred_table(tuple_keys(X1,X2))
| X1 = name_A
| X1 = name_B
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,plain,
( pred_attacker(tuple_key_register_server_in_1(X1,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_56,plain,
! [X40,X41] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X40,X41))
| pred_attacker(X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax104])]) ).
cnf(c_0_57,plain,
( ~ epred3_0
| ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_47,c_0_46]),c_0_35]),c_0_42]) ).
cnf(c_0_58,plain,
epred2_0,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_59,plain,
( epred3_0
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_60,plain,
! [X71] :
( ~ pred_attacker(tuple_client_A_out_3(X71))
| pred_attacker(X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax128])]) ).
cnf(c_0_61,plain,
( pred_attacker(tuple_client_A_out_3(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))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS)))) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X3,X1))
| ~ pred_table(tuple_keys(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,plain,
( X1 = name_A
| X1 = name_B
| pred_table(tuple_keys(X1,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_65,plain,
! [X36,X37] :
( ~ pred_attacker(X36)
| ~ pred_attacker(X37)
| pred_attacker(tuple_key_retrieval_server_in_1(X36,X37)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax102])]) ).
fof(c_0_66,plain,
( ~ epred7_0
<=> ! [X3] : ~ pred_attacker(X3) ),
introduced(definition) ).
cnf(c_0_67,plain,
( ~ epred3_0
| ~ epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_68,plain,
epred3_0,
inference(spm,[status(thm)],[c_0_59,c_0_49]) ).
cnf(c_0_69,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,plain,
( pred_attacker(tuple_client_A_out_3(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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_38])]) ).
fof(c_0_71,plain,
! [X9,X10] : constr_checksign(constr_sign(X10,X9),constr_pkey(X9)) = X10,
inference(variable_rename,[status(thm)],[ax81]) ).
fof(c_0_72,plain,
( ~ epred6_0
<=> ! [X1,X2] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| X1 = name_B
| X1 = name_A
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ) ),
introduced(definition) ).
cnf(c_0_73,plain,
( X1 = name_B
| X1 = name_A
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X3,X1))
| ~ pred_attacker(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_74,plain,
( pred_attacker(tuple_key_retrieval_server_in_1(X1,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,plain,
( epred7_0
| ~ pred_attacker(X1) ),
inference(split_equiv,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
fof(c_0_77,plain,
! [X62] :
( ~ pred_attacker(X62)
| pred_attacker(tuple_client_B_in_5(X62)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax119])]) ).
cnf(c_0_78,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_69,c_0_70]) ).
cnf(c_0_79,plain,
constr_checksign(constr_sign(X1,X2),constr_pkey(X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_80,plain,
! [X11,X12] : constr_tuple_2_get_1_bitstring(tuple_2(X11,X12)) = X12,
inference(variable_rename,[status(thm)],[ax82]) ).
cnf(c_0_81,plain,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_72]),c_0_66]) ).
cnf(c_0_82,plain,
epred7_0,
inference(spm,[status(thm)],[c_0_75,c_0_49]) ).
cnf(c_0_83,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X1)) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_46]),c_0_76]) ).
cnf(c_0_84,plain,
( pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_85,plain,
! [X104,X105,X106] :
( ~ pred_eq_bitstring_bitstring(name_Na(X104),constr_tuple_2_get_0x30(constr_adec(X105,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X105))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X106,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_2(X106))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X105,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X106,constr_pkey(name_skS)))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax162])]) ).
cnf(c_0_86,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_78,c_0_79]) ).
cnf(c_0_87,plain,
constr_tuple_2_get_1_bitstring(tuple_2(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
fof(c_0_88,plain,
! [X80] :
( ~ pred_attacker(X80)
| pred_attacker(tuple_client_A_in_2(X80)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax134])]) ).
fof(c_0_89,plain,
! [X34] :
( ~ pred_attacker(tuple_key_retrieval_server_out_2(X34))
| pred_attacker(X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax101])]) ).
cnf(c_0_90,plain,
~ epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).
fof(c_0_91,plain,
! [X53] :
( ~ pred_attacker(tuple_client_B_out_6(X53))
| pred_attacker(X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])]) ).
cnf(c_0_92,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,plain,
( pred_attacker(tuple_client_A_out_5(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_2(X2))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X3),constr_tuple_2_get_0x30(constr_adec(X1,name_skA))) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_94,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_86,c_0_87]) ).
cnf(c_0_95,plain,
( pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_97,plain,
( X1 = name_A
| X1 = name_B
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_72]),c_0_90]) ).
fof(c_0_98,plain,
( ~ epred8_0
<=> ! [X3] :
( X3 = name_B
| X3 = name_A
| ~ pred_attacker(X3) ) ),
introduced(definition) ).
cnf(c_0_99,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_B_out_6(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,plain,
pred_attacker(tuple_client_B_out_6(name_objective)),
inference(spm,[status(thm)],[c_0_92,c_0_49]) ).
cnf(c_0_101,plain,
( pred_attacker(tuple_client_A_out_5(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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_38]),c_0_38])]) ).
fof(c_0_102,plain,
( ~ epred9_0
<=> ! [X1,X2] :
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2))
| ~ pred_attacker(X2) ) ),
introduced(definition) ).
cnf(c_0_103,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_94,c_0_95]) ).
cnf(c_0_104,plain,
( X1 = name_B
| X1 = name_A
| pred_attacker(constr_sign(tuple_2(X1,X2),name_skS))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_105,plain,
( X1 = name_A
| X1 = name_B
| epred8_0
| ~ pred_attacker(X1) ),
inference(split_equiv,[status(thm)],[c_0_98]) ).
cnf(c_0_106,plain,
pred_attacker(name_objective),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,plain,
name_A != name_objective,
inference(split_conjunct,[status(thm)],[ax53]) ).
cnf(c_0_108,plain,
name_B != name_objective,
inference(split_conjunct,[status(thm)],[ax59]) ).
cnf(c_0_109,plain,
( pred_attacker(tuple_client_A_out_5(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_101,c_0_79]) ).
fof(c_0_110,plain,
! [X87,X88] :
( ~ pred_attacker(X87)
| ~ pred_attacker(X88)
| pred_attacker(constr_adec(X87,X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax138])]) ).
fof(c_0_111,plain,
! [X3,X4] : constr_adec(constr_aenc(X4,constr_pkey(X3)),X3) = X4,
inference(variable_rename,[status(thm)],[ax78]) ).
cnf(c_0_112,plain,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_98]),c_0_102]) ).
cnf(c_0_113,plain,
epred8_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108]) ).
cnf(c_0_114,plain,
( pred_attacker(tuple_client_A_out_5(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_109,c_0_87]) ).
cnf(c_0_115,plain,
( pred_attacker(constr_adec(X1,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_116,plain,
constr_adec(constr_aenc(X1,constr_pkey(X2)),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_117,plain,
~ epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]) ).
fof(c_0_118,plain,
! [X26] :
( ~ pred_attacker(X26)
| pred_attacker(constr_pkey(X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])]) ).
fof(c_0_119,plain,
( ~ epred16_0
<=> ! [X2] : ~ pred_attacker(X2) ),
introduced(definition) ).
fof(c_0_120,plain,
( ~ epred17_0
<=> ! [X2,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2)))
| ~ pred_attacker(X2)
| ~ pred_attacker(tuple_client_A_in_4(X1)) ) ),
introduced(definition) ).
cnf(c_0_121,plain,
( pred_attacker(tuple_client_A_out_5(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_114,c_0_95]) ).
fof(c_0_122,plain,
( ~ epred15_0
<=> ! [X1] : pred_attacker(tuple_2(name_Na(X1),name_A)) ),
introduced(definition) ).
cnf(c_0_123,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_aenc(X1,constr_pkey(X2)))
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_124,plain,
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2))
| ~ pred_attacker(X2) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_102]),c_0_117]) ).
cnf(c_0_125,plain,
( pred_attacker(constr_pkey(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_126,plain,
( epred16_0
| ~ pred_attacker(X1) ),
inference(split_equiv,[status(thm)],[c_0_119]) ).
fof(c_0_127,plain,
! [X69] :
( ~ pred_attacker(tuple_client_A_out_5(X69))
| pred_attacker(X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax126])]) ).
cnf(c_0_128,plain,
~ epred17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_104]),c_0_98]),c_0_120]),c_0_113])]) ).
fof(c_0_129,plain,
! [X91,X92] :
( ~ pred_attacker(tuple_2(X91,X92))
| pred_attacker(X91) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax145])])])]) ).
cnf(c_0_130,plain,
( ~ epred16_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_122]),c_0_119]) ).
cnf(c_0_131,plain,
epred16_0,
inference(spm,[status(thm)],[c_0_126,c_0_49]) ).
fof(c_0_132,plain,
! [X107,X108,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(X109,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X109))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X108,name_skB)),name_Nb(X107)),constr_tuple_2_get_1_bitstring(constr_checksign(X109,constr_pkey(name_skS)))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax164])]) ).
cnf(c_0_133,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_5(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_134,plain,
( pred_attacker(tuple_client_A_out_5(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(split_equiv,[status(thm)],[c_0_120]),c_0_128]) ).
fof(c_0_135,plain,
( ~ epred27_0
<=> ! [X2] : ~ pred_attacker(X2) ),
introduced(definition) ).
cnf(c_0_136,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_137,plain,
( epred15_0
| pred_attacker(tuple_2(name_Na(X1),name_A)) ),
inference(split_equiv,[status(thm)],[c_0_122]) ).
cnf(c_0_138,plain,
~ epred15_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).
cnf(c_0_139,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(constr_checksign(X3,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB))) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_140,plain,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
inference(split_conjunct,[status(thm)],[ax155]) ).
fof(c_0_141,plain,
( ~ epred26_0
<=> ! [X1] :
( pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ) ),
introduced(definition) ).
cnf(c_0_142,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(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_143,plain,
( epred27_0
| ~ pred_attacker(X1) ),
inference(split_equiv,[status(thm)],[c_0_135]) ).
cnf(c_0_144,plain,
pred_attacker(name_Na(X1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_145,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(constr_checksign(X3,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_38]),c_0_38])]) ).
cnf(c_0_146,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X1,name_A)) ),
inference(spm,[status(thm)],[c_0_62,c_0_140]) ).
cnf(c_0_147,plain,
pred_attacker(name_A),
inference(split_conjunct,[status(thm)],[ax152]) ).
cnf(c_0_148,plain,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_142]),c_0_125]),c_0_141]),c_0_135]) ).
cnf(c_0_149,plain,
epred27_0,
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_150,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_145,c_0_79]) ).
cnf(c_0_151,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS)))
| ~ pred_attacker(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_74]),c_0_147])]) ).
fof(c_0_152,negated_conjecture,
~ ! [X116] : pred_attacker(tuple_2(name_Nb(X116),name_objective)),
inference(assume_negation,[status(cth)],[co0]) ).
cnf(c_0_153,plain,
~ epred26_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).
cnf(c_0_154,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)),X3)))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X4,X3),name_skS)))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(spm,[status(thm)],[c_0_150,c_0_87]) ).
cnf(c_0_155,plain,
pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS))),
inference(spm,[status(thm)],[c_0_151,c_0_49]) ).
fof(c_0_156,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_152])])]) ).
fof(c_0_157,plain,
! [X89,X90] :
( ~ pred_attacker(X89)
| ~ pred_attacker(X90)
| pred_attacker(tuple_2(X89,X90)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax144])]) ).
cnf(c_0_158,plain,
( pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_153]) ).
fof(c_0_159,plain,
! [X78] :
( ~ pred_attacker(X78)
| pred_attacker(tuple_client_A_in_4(X78)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax132])]) ).
fof(c_0_160,plain,
! [X55] :
( ~ pred_attacker(tuple_client_B_out_4(X55))
| pred_attacker(X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax115])]) ).
cnf(c_0_161,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)),X3)))
| ~ pred_attacker(constr_sign(tuple_2(X4,X3),name_skS))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(spm,[status(thm)],[c_0_154,c_0_51]) ).
cnf(c_0_162,plain,
pred_attacker(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS)),
inference(spm,[status(thm)],[c_0_96,c_0_155]) ).
cnf(c_0_163,negated_conjecture,
~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_164,plain,
( pred_attacker(tuple_2(X1,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_165,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_158,c_0_116]) ).
cnf(c_0_166,plain,
( pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_167,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_B_out_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_168,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_pkey(name_skA))))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_169,negated_conjecture,
( ~ pred_attacker(name_Nb(esk1_0))
| ~ pred_attacker(name_objective) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
fof(c_0_170,plain,
( ~ epred52_0
<=> ! [X2] : pred_attacker(name_Nb(X2)) ),
introduced(definition) ).
fof(c_0_171,plain,
( ~ epred53_0
<=> ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1)) ),
introduced(definition) ).
cnf(c_0_172,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_165,c_0_166]) ).
cnf(c_0_173,plain,
( pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_pkey(name_skA)))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_174,negated_conjecture,
~ pred_attacker(name_Nb(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_106])]) ).
cnf(c_0_175,plain,
( epred52_0
| pred_attacker(name_Nb(X1)) ),
inference(split_equiv,[status(thm)],[c_0_170]) ).
cnf(c_0_176,plain,
( ~ epred53_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_87]),c_0_170]),c_0_171]) ).
cnf(c_0_177,negated_conjecture,
epred52_0,
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_178,plain,
~ epred53_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177])]) ).
cnf(c_0_179,plain,
~ pred_attacker(tuple_client_B_in_3(X1)),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_178]) ).
cnf(c_0_180,plain,
~ pred_attacker(X1),
inference(spm,[status(thm)],[c_0_179,c_0_40]) ).
cnf(c_0_181,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_137,c_0_138]),c_0_180]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW960+1 : TPTP v8.1.0. Released v7.4.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 6 00:27:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.43 # Preprocessing time : 0.019 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 182
% 0.24/1.43 # Proof object clause steps : 105
% 0.24/1.43 # Proof object formula steps : 77
% 0.24/1.43 # Proof object conjectures : 7
% 0.24/1.43 # Proof object clause conjectures : 4
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 41
% 0.24/1.43 # Proof object initial formulas used : 33
% 0.24/1.43 # Proof object generating inferences : 44
% 0.24/1.43 # Proof object simplifying inferences : 62
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 169
% 0.24/1.43 # Removed by relevancy pruning/SinE : 0
% 0.24/1.43 # Initial clauses : 169
% 0.24/1.43 # Removed in clause preprocessing : 1
% 0.24/1.43 # Initial clauses in saturation : 168
% 0.24/1.43 # Processed clauses : 667
% 0.24/1.43 # ...of these trivial : 8
% 0.24/1.43 # ...subsumed : 118
% 0.24/1.43 # ...remaining for further processing : 541
% 0.24/1.43 # Other redundant clauses eliminated : 0
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 37
% 0.24/1.43 # Backward-rewritten : 52
% 0.24/1.43 # Generated clauses : 3400
% 0.24/1.43 # ...of the previous two non-trivial : 3143
% 0.24/1.43 # Contextual simplify-reflections : 53
% 0.24/1.43 # Paramodulations : 3258
% 0.24/1.43 # Factorizations : 0
% 0.24/1.43 # Equation resolutions : 0
% 0.24/1.43 # Current number of processed clauses : 363
% 0.24/1.43 # Positive orientable unit clauses : 34
% 0.24/1.43 # Positive unorientable unit clauses: 0
% 0.24/1.43 # Negative unit clauses : 112
% 0.24/1.43 # Non-unit-clauses : 217
% 0.24/1.43 # Current number of unprocessed clauses: 80
% 0.24/1.43 # ...number of literals in the above : 233
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 149
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 32777
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 27962
% 0.24/1.43 # Non-unit clause-clause subsumptions : 210
% 0.24/1.43 # Unit Clause-clause subsumption calls : 6925
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 270
% 0.24/1.43 # BW rewrite match successes : 32
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 33065
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.079 s
% 0.24/1.43 # System time : 0.005 s
% 0.24/1.43 # Total time : 0.084 s
% 0.24/1.43 # Maximum resident set size: 4528 pages
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: CPU time limit exceeded, terminating
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.51 eprover: No such file or directory
% 0.24/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------