%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW960+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:11:28 PM UTC 2026
% Result : Theorem 0.15s 15.52s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 33
% Syntax : Number of formulae : 150 ( 39 unt; 0 def)
% Number of atoms : 359 ( 35 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 376 ( 167 ~; 164 |; 21 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-2 aty)
% Number of variables : 249 ( 57 sgn 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax165,axiom,
! [X107,X108,X109,X110] :
( ( pred_attacker(tuple_client_B_in_2(X110))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X110,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X108))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X108,name_skB)))
& pred_attacker(tuple_client_B_in_5(X109))
& pred_eq_bitstring_bitstring(name_Nb(X107),constr_adec(X109,name_skB)) )
=> 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_attacker(tuple_client_A_in_2(X100))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X100,constr_pkey(name_skS)))) )
=> 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_attacker(tuple_key_retrieval_server_in_1(X113,X111))
& pred_table(tuple_keys(X111,X112)) )
=> 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(X35)
& pred_attacker(X34) )
=> 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_attacker(tuple_client_A_in_2(X103))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X103,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_4(X102))
& pred_eq_bitstring_bitstring(name_Na(X101),constr_tuple_2_get_0x30(constr_adec(X102,name_skA))) )
=> 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(ax167,axiom,
! [X114,X115] :
( ( pred_attacker(tuple_key_register_server_in_1(X114,X115))
& X114 != name_A
& X114 != name_B )
=> pred_table(tuple_keys(X114,X115)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax167) ).
fof(ax134,axiom,
! [X79] :
( pred_attacker(X79)
=> pred_attacker(tuple_client_A_in_2(X79)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
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(ax105,axiom,
! [X40,X41] :
( ( pred_attacker(X41)
& pred_attacker(X40) )
=> 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(ax53,axiom,
name_A != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(ax59,axiom,
name_B != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(ax138,axiom,
! [X85,X86] :
( ( pred_attacker(X86)
& pred_attacker(X85) )
=> pred_attacker(constr_adec(X85,X86)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
fof(ax78,axiom,
! [X1,X2] : constr_adec(constr_aenc(X2,constr_pkey(X1)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(ax93,axiom,
! [X25] :
( pred_attacker(X25)
=> pred_attacker(constr_pkey(X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(ax164,axiom,
! [X104,X105,X106] :
( ( pred_attacker(tuple_client_B_in_2(X106))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X106,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X105))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X105,name_skB))) )
=> 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(ax145,axiom,
! [X89,X90] :
( pred_attacker(tuple_2(X89,X90))
=> pred_attacker(X89) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax145) ).
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(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(co0,conjecture,
! [X116] : pred_attacker(tuple_2(name_Nb(X116),name_objective)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(ax144,axiom,
! [X87,X88] :
( ( pred_attacker(X88)
& pred_attacker(X87) )
=> pred_attacker(tuple_2(X87,X88)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax144) ).
fof(c_0_33,plain,
! [X223,X224,X225,X226] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X226))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X226,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X224))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X224,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X225))
| ~ pred_eq_bitstring_bitstring(name_Nb(X223),constr_adec(X225,name_skB)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax165])])]) ).
fof(c_0_34,plain,
! [X133,X134] : pred_eq_bitstring_bitstring(X133,X134),
inference(variable_rename,[status(thm)],[ax86]) ).
fof(c_0_35,plain,
! [X215,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))))))
| ~ pred_attacker(tuple_client_A_in_2(X216))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X216,constr_pkey(name_skS)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax161])])]) ).
cnf(c_0_36,plain,
( ~ pred_attacker(tuple_client_B_in_2(X4))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X4,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X3,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
pred_eq_bitstring_bitstring(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_38,plain,
! [X177] :
( pred_attacker(tuple_client_B_in_5(X177))
| ~ pred_attacker(X177) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax119])])]) ).
fof(c_0_39,plain,
! [X186] :
( pred_attacker(X186)
| ~ pred_attacker(tuple_client_A_out_3(X186)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax128])])]) ).
cnf(c_0_40,plain,
( ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS))))
| 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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_41,plain,
! [X227,X228,X229] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X227,X228),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X229,X227))
| ~ pred_table(tuple_keys(X227,X228)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax166])])]) ).
fof(c_0_42,plain,
! [X150,X151] :
( pred_attacker(tuple_key_retrieval_server_in_1(X150,X151))
| ~ pred_attacker(X151)
| ~ pred_attacker(X150) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax102])])]) ).
cnf(c_0_43,plain,
( ~ pred_attacker(tuple_client_B_in_2(X4))
| ~ pred_attacker(tuple_client_B_in_3(X3))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_37]),c_0_37])]) ).
cnf(c_0_44,plain,
( ~ pred_attacker(X1)
| pred_attacker(tuple_client_B_in_5(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_45,plain,
! [X179] :
( pred_attacker(tuple_client_B_in_3(X179))
| ~ pred_attacker(X179) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax121])])]) ).
fof(c_0_46,plain,
! [X217,X218,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))))))
| ~ pred_attacker(tuple_client_A_in_2(X219))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X219,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(X218))
| ~ pred_eq_bitstring_bitstring(name_Na(X217),constr_tuple_2_get_0x30(constr_adec(X218,name_skA))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax162])])]) ).
cnf(c_0_47,plain,
( ~ pred_attacker(tuple_client_A_out_3(X1))
| pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( ~ pred_attacker(tuple_client_A_in_2(X1))
| 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)))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_37])]) ).
fof(c_0_49,plain,
! [X123,X124] : constr_checksign(constr_sign(X124,X123),constr_pkey(X123)) = X124,
inference(variable_rename,[status(thm)],[ax81]) ).
cnf(c_0_50,plain,
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X3,X1))
| ~ pred_table(tuple_keys(X1,X2))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS))) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
( ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| pred_attacker(tuple_key_retrieval_server_in_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_52,plain,
! [X214] : pred_attacker(name_new0x2Dname(X214)),
inference(variable_rename,[status(thm)],[ax154]) ).
cnf(c_0_53,plain,
( ~ pred_attacker(X3)
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
( ~ pred_attacker(X1)
| pred_attacker(tuple_client_B_in_3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_55,plain,
! [X181] :
( pred_attacker(tuple_client_B_in_2(X181))
| ~ pred_attacker(X181) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax123])])]) ).
fof(c_0_56,plain,
! [X184] :
( pred_attacker(X184)
| ~ pred_attacker(tuple_client_A_out_5(X184)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax126])])]) ).
cnf(c_0_57,plain,
( ~ pred_attacker(tuple_client_A_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_eq_bitstring_bitstring(name_Na(X1),constr_tuple_2_get_0x30(constr_adec(X2,name_skA)))
| 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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( ~ pred_attacker(tuple_client_A_in_2(X2))
| pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,plain,
constr_checksign(constr_sign(X1,X2),constr_pkey(X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_60,plain,
! [X125,X126] : constr_tuple_2_get_1_bitstring(tuple_2(X125,X126)) = X126,
inference(variable_rename,[status(thm)],[ax82]) ).
fof(c_0_61,plain,
! [X149] :
( pred_attacker(X149)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(X149)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax101])])]) ).
cnf(c_0_62,plain,
( ~ pred_attacker(X3)
| ~ pred_attacker(X1)
| ~ pred_table(tuple_keys(X1,X2))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_63,plain,
pred_attacker(name_new0x2Dname(X1)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_64,plain,
! [X114,X115] :
( ( pred_attacker(tuple_key_register_server_in_1(X114,X115))
& X114 != name_A
& X114 != name_B )
=> pred_table(tuple_keys(X114,X115)) ),
inference(fof_simplification,[status(thm)],[ax167]) ).
cnf(c_0_65,plain,
( ~ pred_attacker(X3)
| ~ pred_attacker(X2)
| ~ pred_attacker(tuple_client_B_in_2(X1))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_66,plain,
( ~ pred_attacker(X1)
| pred_attacker(tuple_client_B_in_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
( ~ pred_attacker(tuple_client_A_out_5(X1))
| pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,plain,
( ~ pred_attacker(tuple_client_A_in_2(X3))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| 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)))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_37]),c_0_37])]) ).
cnf(c_0_69,plain,
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
| pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(X2))) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,plain,
constr_tuple_2_get_1_bitstring(tuple_2(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_71,plain,
! [X195] :
( pred_attacker(tuple_client_A_in_2(X195))
| ~ pred_attacker(X195) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax134])])]) ).
cnf(c_0_72,plain,
( ~ pred_attacker(tuple_key_retrieval_server_out_2(X1))
| pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_73,plain,
( ~ pred_attacker(X1)
| ~ pred_table(tuple_keys(X1,X2))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS))) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_74,plain,
! [X230,X231] :
( pred_table(tuple_keys(X230,X231))
| ~ pred_attacker(tuple_key_register_server_in_1(X230,X231))
| X230 = name_A
| X230 = name_B ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
fof(c_0_75,plain,
! [X158,X159] :
( pred_attacker(X158)
| ~ pred_attacker(tuple_key_register_server_in_1(X158,X159)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax106])])]) ).
cnf(c_0_76,plain,
( ~ pred_attacker(X3)
| ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_77,plain,
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| 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))))) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,plain,
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X3,X2),name_skS)))
| pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_79,plain,
( ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_in_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_80,plain,
( ~ pred_attacker(X1)
| ~ pred_table(tuple_keys(X1,X2))
| pred_attacker(constr_sign(tuple_2(X1,X2),name_skS)) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
( ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
| pred_table(tuple_keys(X1,X2))
| X1 = name_A
| X1 = name_B ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,plain,
( ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
| pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,plain,
( ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(spm,[status(thm)],[c_0_76,c_0_63]) ).
cnf(c_0_84,plain,
( ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(X2))) ),
inference(spm,[status(thm)],[c_0_77,c_0_59]) ).
cnf(c_0_85,plain,
( ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS))
| pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2)) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,plain,
( ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
| pred_attacker(constr_sign(tuple_2(X1,X2),name_skS))
| X1 = name_B
| X1 = name_A ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
fof(c_0_87,plain,
! [X156,X157] :
( pred_attacker(tuple_key_register_server_in_1(X156,X157))
| ~ pred_attacker(X157)
| ~ pred_attacker(X156) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])])]) ).
fof(c_0_88,plain,
! [X168] :
( pred_attacker(X168)
| ~ pred_attacker(tuple_client_B_out_6(X168)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])])]) ).
cnf(c_0_89,plain,
( ~ pred_attacker(X1)
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(spm,[status(thm)],[c_0_83,c_0_63]) ).
fof(c_0_90,plain,
name_A != name_objective,
inference(fof_simplification,[status(thm)],[ax53]) ).
fof(c_0_91,plain,
name_B != name_objective,
inference(fof_simplification,[status(thm)],[ax59]) ).
cnf(c_0_92,plain,
( ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X3,X2),name_skS)))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2)) ),
inference(spm,[status(thm)],[c_0_84,c_0_70]) ).
fof(c_0_93,plain,
! [X201,X202] :
( pred_attacker(constr_adec(X201,X202))
| ~ pred_attacker(X202)
| ~ pred_attacker(X201) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax138])])]) ).
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(tuple_key_register_server_in_1(X1,X3))
| pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X3))
| X1 = name_A
| X1 = name_B ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_96,plain,
( ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_97,plain,
( ~ pred_attacker(tuple_client_B_out_6(X1))
| pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_98,plain,
pred_attacker(tuple_client_B_out_6(name_objective)),
inference(spm,[status(thm)],[c_0_89,c_0_63]) ).
fof(c_0_99,plain,
name_A != name_objective,
inference(fof_nnf,[status(thm)],[c_0_90]) ).
fof(c_0_100,plain,
name_B != name_objective,
inference(fof_nnf,[status(thm)],[c_0_91]) ).
cnf(c_0_101,plain,
( ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2)) ),
inference(spm,[status(thm)],[c_0_92,c_0_79]) ).
cnf(c_0_102,plain,
( ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| pred_attacker(constr_adec(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_103,plain,
constr_adec(constr_aenc(X1,constr_pkey(X2)),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_104,plain,
( ~ pred_attacker(X1)
| ~ pred_attacker(X3)
| pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X3))
| X1 = name_B
| X1 = name_A ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,plain,
pred_attacker(name_objective),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,plain,
name_A != name_objective,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_107,plain,
name_B != name_objective,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
fof(c_0_108,plain,
! [X141] :
( pred_attacker(constr_pkey(X141))
| ~ pred_attacker(X141) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])]) ).
fof(c_0_109,plain,
! [X220,X221,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))))))
| ~ pred_attacker(tuple_client_B_in_2(X222))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X222,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X221))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X221,name_skB))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax164])])]) ).
cnf(c_0_110,plain,
( ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X3))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),X3))
| X1 = name_A
| X1 = name_B ),
inference(spm,[status(thm)],[c_0_101,c_0_86]) ).
cnf(c_0_111,plain,
( ~ pred_attacker(X2)
| ~ pred_attacker(constr_aenc(X1,constr_pkey(X2)))
| pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_112,plain,
( ~ pred_attacker(X2)
| pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_107]) ).
cnf(c_0_113,plain,
( ~ pred_attacker(X1)
| pred_attacker(constr_pkey(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_114,plain,
( ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,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)))
| 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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_115,plain,
( ~ pred_attacker(X1)
| ~ pred_attacker(X3)
| ~ pred_attacker(tuple_client_A_in_4(X2))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),X3))
| X1 = name_B
| X1 = name_A ),
inference(spm,[status(thm)],[c_0_110,c_0_96]) ).
fof(c_0_116,plain,
! [X205,X206] :
( pred_attacker(X205)
| ~ pred_attacker(tuple_2(X205,X206)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax145])])]) ).
cnf(c_0_117,plain,
( ~ pred_attacker(X2)
| pred_attacker(tuple_2(name_Na(X1),name_A)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_118,plain,
( ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| 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)))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_37]),c_0_37])]) ).
cnf(c_0_119,plain,
( ~ pred_attacker(X2)
| ~ pred_attacker(tuple_client_A_in_4(X1))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_105]),c_0_106]),c_0_107]) ).
cnf(c_0_120,plain,
( ~ pred_attacker(tuple_2(X1,X2))
| pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_121,plain,
pred_attacker(tuple_2(name_Na(X1),name_A)),
inference(spm,[status(thm)],[c_0_117,c_0_63]) ).
cnf(c_0_122,plain,
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X3,name_skS)))
| 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)))) ),
inference(spm,[status(thm)],[c_0_118,c_0_59]) ).
cnf(c_0_123,plain,
( ~ pred_attacker(X2)
| ~ pred_attacker(tuple_client_A_in_4(X1))
| pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_119]),c_0_113]) ).
cnf(c_0_124,plain,
pred_attacker(name_Na(X1)),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X4,X3),name_skS)))
| 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))) ),
inference(spm,[status(thm)],[c_0_122,c_0_70]) ).
cnf(c_0_126,plain,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
inference(split_conjunct,[status(thm)],[ax155]) ).
cnf(c_0_127,plain,
pred_attacker(name_A),
inference(split_conjunct,[status(thm)],[ax152]) ).
cnf(c_0_128,plain,
( ~ pred_attacker(tuple_client_A_in_4(X1))
| pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA))) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
fof(c_0_129,plain,
! [X193] :
( pred_attacker(tuple_client_A_in_4(X193))
| ~ pred_attacker(X193) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax132])])]) ).
fof(c_0_130,plain,
! [X170] :
( pred_attacker(X170)
| ~ pred_attacker(tuple_client_B_out_4(X170)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax115])])]) ).
cnf(c_0_131,plain,
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(constr_sign(tuple_2(X4,X3),name_skS))
| 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))) ),
inference(spm,[status(thm)],[c_0_125,c_0_66]) ).
cnf(c_0_132,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_80,c_0_126]),c_0_127])]) ).
fof(c_0_133,negated_conjecture,
~ ! [X116] : pred_attacker(tuple_2(name_Nb(X116),name_objective)),
inference(assume_negation,[status(cth)],[co0]) ).
cnf(c_0_134,plain,
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X1,constr_pkey(name_skA))))
| pred_attacker(constr_tuple_2_get_1_bitstring(X1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_103]) ).
cnf(c_0_135,plain,
( ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_in_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_136,plain,
( ~ pred_attacker(tuple_client_B_out_4(X1))
| pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_137,plain,
( ~ pred_attacker(tuple_client_B_in_3(X1))
| 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)))) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
fof(c_0_138,negated_conjecture,
~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])])])]) ).
fof(c_0_139,plain,
! [X203,X204] :
( pred_attacker(tuple_2(X203,X204))
| ~ pred_attacker(X204)
| ~ pred_attacker(X203) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax144])])]) ).
cnf(c_0_140,plain,
( ~ pred_attacker(constr_aenc(X1,constr_pkey(name_skA)))
| pred_attacker(constr_tuple_2_get_1_bitstring(X1)) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,plain,
( ~ pred_attacker(tuple_client_B_in_3(X1))
| pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_pkey(name_skA))) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_142,negated_conjecture,
~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_143,plain,
( ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| pred_attacker(tuple_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_144,plain,
( ~ pred_attacker(tuple_client_B_in_3(X2))
| pred_attacker(name_Nb(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_70]) ).
cnf(c_0_145,negated_conjecture,
( ~ pred_attacker(name_objective)
| ~ pred_attacker(name_Nb(esk1_0)) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,plain,
( ~ pred_attacker(X2)
| pred_attacker(name_Nb(X1)) ),
inference(spm,[status(thm)],[c_0_144,c_0_54]) ).
cnf(c_0_147,negated_conjecture,
~ pred_attacker(name_Nb(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_105])]) ).
cnf(c_0_148,plain,
pred_attacker(name_Nb(X1)),
inference(spm,[status(thm)],[c_0_146,c_0_124]) ).
cnf(c_0_149,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW960+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/15.40 % Computer : n004.cluster.edu
% 0.11/15.40 % Model : x86_64 x86_64
% 0.11/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.40 % Memory : 8046.5625MB
% 0.11/15.40 % OS : Linux 6.8.0-71-generic
% 0.11/15.40 % CPULimit : 300
% 0.11/15.40 % WCLimit : 300
% 0.11/15.40 % DateTime : Mon Sep 21 10:21:06 UTC 2026
% 0.11/15.40 % CPUTime :
% 0.11/15.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/15.45 Running first-order theorem proving
% 0.11/15.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/15.52 % Version: 3.5.1
% 0.15/15.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/15.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/15.52 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.52 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.52 % Starting sh5l with 300s (1) cores
% 0.15/15.52 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2899593 completed with status 0
% 0.15/15.52 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/15.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/15.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/15.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.52 % No SInE strategy applied
% 0.15/15.52 % Search class: FGUSM-FFMM21-MFFFFFNN
% 0.15/15.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.52 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/15.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/15.52 % Starting new_bool_3 with 136s (1) cores
% 0.15/15.52 % Starting new_bool_1 with 136s (1) cores
% 0.15/15.52 % SubtermCWHack with pid 2899600 completed with status 0
% 0.15/15.52 % Result found by SubtermCWHack
% 0.15/15.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/15.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/15.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.52 % No SInE strategy applied
% 0.15/15.52 % Search class: FGUSM-FFMM21-MFFFFFNN
% 0.15/15.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.52 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.52 % Preprocessing time : 0.002 s
% 0.15/15.52
% 0.15/15.52 % Proof found!
% 0.15/15.52 % SZS status Theorem
% 0.15/15.52 % SZS output start CNFRefutation
% See solution above
% 0.15/15.52 % Parsed axioms : 169
% 0.15/15.52 % Removed by relevancy pruning/SinE : 0
% 0.15/15.52 % Initial clauses : 169
% 0.15/15.52 % Removed in clause preprocessing : 1
% 0.15/15.52 % Initial clauses in saturation : 168
% 0.15/15.52 % Processed clauses : 677
% 0.15/15.52 % ...of these trivial : 8
% 0.15/15.52 % ...subsumed : 205
% 0.15/15.52 % ...remaining for further processing : 464
% 0.15/15.52 % Other redundant clauses eliminated : 0
% 0.15/15.52 % Clauses deleted for lack of memory : 0
% 0.15/15.52 % Backward-subsumed : 137
% 0.15/15.52 % Backward-rewritten : 9
% 0.15/15.52 % Generated clauses : 4568
% 0.15/15.52 % ...of the previous two non-redundant : 4459
% 0.15/15.52 % ...aggressively subsumed : 0
% 0.15/15.52 % Contextual simplify-reflections : 5
% 0.15/15.52 % Paramodulations : 4568
% 0.15/15.52 % Factorizations : 0
% 0.15/15.52 % NegExts : 0
% 0.15/15.52 % Equation resolutions : 0
% 0.15/15.52 % Disequality decompositions : 0
% 0.15/15.52 % Total rewrite steps : 202
% 0.15/15.52 % ...of those cached : 172
% 0.15/15.52 % Propositional unsat checks : 0
% 0.15/15.52 % Propositional check models : 0
% 0.15/15.52 % Propositional check unsatisfiable : 0
% 0.15/15.52 % Propositional clauses : 0
% 0.15/15.52 % Propositional clauses after purity: 0
% 0.15/15.52 % Propositional unsat core size : 0
% 0.15/15.52 % Propositional preprocessing time : 0.000
% 0.15/15.52 % Propositional encoding time : 0.000
% 0.15/15.52 % Propositional solver time : 0.000
% 0.15/15.52 % Success case prop preproc time : 0.000
% 0.15/15.52 % Success case prop encoding time : 0.000
% 0.15/15.52 % Success case prop solver time : 0.000
% 0.15/15.52 % Current number of processed clauses : 318
% 0.15/15.52 % Positive orientable unit clauses : 64
% 0.15/15.52 % Positive unorientable unit clauses: 0
% 0.15/15.52 % Negative unit clauses : 82
% 0.15/15.52 % Non-unit-clauses : 172
% 0.15/15.52 % Current number of unprocessed clauses: 1162
% 0.15/15.52 % ...number of literals in the above : 5146
% 0.15/15.52 % Current number of archived formulas : 0
% 0.15/15.52 % Current number of archived clauses : 147
% 0.15/15.52 % Clause-clause subsumption calls (NU) : 35156
% 0.15/15.52 % Rec. Clause-clause subsumption calls : 29937
% 0.15/15.52 % Non-unit clause-clause subsumptions : 244
% 0.15/15.52 % Unit Clause-clause subsumption calls : 1838
% 0.15/15.52 % Rewrite failures with RHS unbound : 0
% 0.15/15.52 % BW rewrite match attempts : 166
% 0.15/15.52 % BW rewrite match successes : 9
% 0.15/15.52 % Condensation attempts : 0
% 0.15/15.52 % Condensation successes : 0
% 0.15/15.52 % Termbank termtop insertions : 70305
% 0.15/15.52 % Search garbage collected termcells : 1012
% 0.15/15.52
% 0.15/15.52 % -------------------------------------------------
% 0.15/15.52 % User time : 0.049 s
% 0.15/15.52 % System time : 0.003 s
% 0.15/15.52 % Total time : 0.052 s
% 0.15/15.52 % Maximum resident set size: 3812 pages
% 0.15/15.52
% 0.15/15.52 % -------------------------------------------------
% 0.15/15.52 % User time : 0.213 s
% 0.15/15.52 % System time : 0.024 s
% 0.15/15.52 % Total time : 0.237 s
% 0.15/15.52 % Maximum resident set size: 5120 pages
% 0.15/15.52 % E exiting
%------------------------------------------------------------------------------