%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 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 : Sun Sep 27 09:11:19 AM UTC 2026
% Result : Theorem 5.81s 3.09s
% Output : Refutation 6.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 138
% Syntax : Number of formulae : 278 ( 188 unt; 0 typ; 0 def)
% Number of atoms : 416 ( 158 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 961 ( 134 ~; 0 |; 48 &; 689 @)
% ( 0 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 45 usr; 15 con; 0-5 aty)
% Number of variables : 284 ( 0 ^; 284 !; 0 ?; 284 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_decl,type,
pred_attacker: $i > $o ).
thf(name_objective_decl,type,
name_objective: $i ).
thf(constr_CONST_4_decl,type,
constr_CONST_4: $i ).
thf(name_A_decl,type,
name_A: $i ).
thf(constr_CONST_3_decl,type,
constr_CONST_3: $i ).
thf(name_Kas_decl,type,
name_Kas: $i ).
thf(name_c_decl,type,
name_c: $i ).
thf(constr_cbc_3_get_1_prefixes_decl,type,
constr_cbc_3_get_1_prefixes: $i > $i ).
thf(constr_cbc_enc_3_decl,type,
constr_cbc_enc_3: $i > $i > $i > $i > $i ).
thf(constr_cbc_enc_1_decl,type,
constr_cbc_enc_1: $i > $i > $i ).
thf(constr_CONST_2_decl,type,
constr_CONST_2: $i ).
thf(constr_CONST_1_decl,type,
constr_CONST_1: $i ).
thf(constr_CONST_0x30_decl,type,
constr_CONST_0x30: $i ).
thf(constr_tuple_3_get_1_bitstring_decl,type,
constr_tuple_3_get_1_bitstring: $i > $i ).
thf(tuple_3_decl,type,
tuple_3: $i > $i > $i > $i ).
thf(name_Kbs_decl,type,
name_Kbs: $i ).
thf(constr_cbc_dec_4_decl,type,
constr_cbc_dec_4: $i > $i > $i ).
thf(constr_cbc_enc_4_decl,type,
constr_cbc_enc_4: $i > $i > $i > $i > $i > $i ).
thf(tuple_4_decl,type,
tuple_4: $i > $i > $i > $i > $i ).
thf(name_B_decl,type,
name_B: $i ).
thf(constr_tuple_3_get_2_bitstring_decl,type,
constr_tuple_3_get_2_bitstring: $i > $i ).
thf(name_I_decl,type,
name_I: $i ).
thf(constr_cbc_2_get_1_prefixes_decl,type,
constr_cbc_2_get_1_prefixes: $i > $i ).
thf(constr_cbc_enc_2_decl,type,
constr_cbc_enc_2: $i > $i > $i > $i ).
thf(pred_eq_bitstring_bitstring_decl,type,
pred_eq_bitstring_bitstring: $i > $i > $o ).
thf(constr_cbc_4_get_2_prefixes_decl,type,
constr_cbc_4_get_2_prefixes: $i > $i ).
thf(constr_cbc_4_get_1_prefixes_decl,type,
constr_cbc_4_get_1_prefixes: $i > $i ).
thf(constr_cbc_dec_2_decl,type,
constr_cbc_dec_2: $i > $i > $i ).
thf(tuple_2_decl,type,
tuple_2: $i > $i > $i ).
thf(constr_cbc_dec_3_decl,type,
constr_cbc_dec_3: $i > $i > $i ).
thf(constr_cbc_4_get_3_prefixes_decl,type,
constr_cbc_4_get_3_prefixes: $i > $i ).
thf(constr_cbc_3_get_2_prefixes_decl,type,
constr_cbc_3_get_2_prefixes: $i > $i ).
thf(constr_tuple_3_get_0x30_decl,type,
constr_tuple_3_get_0x30: $i > $i ).
thf(constr_cbc_dec_1_decl,type,
constr_cbc_dec_1: $i > $i > $i ).
thf(tuple_server_S_in_1_decl,type,
tuple_server_S_in_1: $i > $i > $i ).
thf(tuple_client_B_out_2_decl,type,
tuple_client_B_out_2: $i > $i ).
thf(tuple_true_decl,type,
tuple_true: $i ).
thf(tuple_server_S_out_2_decl,type,
tuple_server_S_out_2: $i > $i ).
thf(tuple_client_B_in_1_decl,type,
tuple_client_B_in_1: $i > $i ).
thf(tuple_server_S_out_3_decl,type,
tuple_server_S_out_3: $i > $i ).
thf(name_Kab_54_decl,type,
name_Kab_54: $i > $i ).
thf(name_T_55_decl,type,
name_T_55: $i > $i ).
thf(pred_mess_decl,type,
pred_mess: $i > $i > $o ).
thf(name_new0x2Dname_decl,type,
name_new0x2Dname: $i > $i ).
thf(tuple_false_decl,type,
tuple_false: $i ).
thf(71,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(344,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(72,axiom,
constr_CONST_3 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
thf(347,plain,
constr_CONST_3 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(34,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(234,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(59,axiom,
name_A != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(308,plain,
name_A != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(119,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_4_get_2_prefixes @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
thf(449,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_4_get_2_prefixes @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(114,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_enc_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
thf(440,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_enc_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(46,axiom,
constr_CONST_2 != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(269,plain,
constr_CONST_2 != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(89,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(384,plain,
constr_CONST_1 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(7,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(153,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
name_Kas != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(174,plain,
name_Kas != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(63,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(320,plain,
constr_CONST_1 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ constr_cbc_enc_4 ) ) ) ) @ constr_cbc_4_get_1_prefixes )
= ( A @ ( B @ constr_cbc_enc_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
thf(257,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ constr_cbc_enc_4 ) ) ) ) @ constr_cbc_4_get_1_prefixes )
= ( A @ ( B @ constr_cbc_enc_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(19,axiom,
name_B != name_Kas,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(189,plain,
name_B != name_Kas,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(51,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(284,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(102,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_0x30 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
thf(416,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_0x30 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(32,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).
thf(228,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(28,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(216,plain,
constr_CONST_3 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(130,axiom,
name_c @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax129) ).
thf(475,plain,
name_c @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(116,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(443,plain,
constr_CONST_3 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(73,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_server_S_in_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
thf(348,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_server_S_in_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(76,axiom,
tuple_true @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
thf(353,plain,
tuple_true @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(133,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
thf(480,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(5,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(147,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(54,axiom,
constr_CONST_2 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(293,plain,
constr_CONST_2 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(121,axiom,
! [A: $i] :
( ( A @ tuple_server_S_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
thf(453,plain,
! [A: $i] :
( ( A @ tuple_server_S_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(94,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( C @ ( B @ ( A @ constr_cbc_enc_2 ) ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax98) ).
thf(396,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( C @ ( B @ ( A @ constr_cbc_enc_2 ) ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(100,axiom,
name_B != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(411,plain,
name_B != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(37,axiom,
! [A: $i,B: $i] : ( B @ ( A @ pred_eq_bitstring_bitstring ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
thf(243,plain,
! [A: $i,B: $i] : ( B @ ( A @ pred_eq_bitstring_bitstring ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(108,axiom,
! [A: $i] :
( ( A @ tuple_client_B_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
thf(428,plain,
! [A: $i] :
( ( A @ tuple_client_B_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(39,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(248,plain,
constr_CONST_2 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(87,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_2_bitstring @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
thf(380,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_2_bitstring @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(23,axiom,
constr_CONST_0x30 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(201,plain,
constr_CONST_0x30 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(82,axiom,
name_Kas != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(366,plain,
name_Kas != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(57,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( D @ ( C @ ( B @ constr_cbc_enc_3 ) ) ) @ constr_cbc_3_get_2_prefixes )
= ( A @ ( C @ ( B @ constr_cbc_enc_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
thf(302,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( D @ ( C @ ( B @ constr_cbc_enc_3 ) ) ) @ constr_cbc_3_get_2_prefixes )
= ( A @ ( C @ ( B @ constr_cbc_enc_2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(43,axiom,
constr_CONST_3 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(260,plain,
constr_CONST_3 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(92,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
thf(392,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(20,axiom,
name_B != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(192,plain,
name_B != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(48,axiom,
constr_CONST_4 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(275,plain,
constr_CONST_4 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ constr_tuple_3_get_1_bitstring )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
thf(165,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ constr_tuple_3_get_1_bitstring )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(127,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
thf(467,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(112,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_server_S_in_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
thf(435,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_server_S_in_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(66,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_cbc_enc_1 ) @ constr_cbc_dec_1 ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(329,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_cbc_enc_1 ) @ constr_cbc_dec_1 ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(125,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(461,plain,
constr_CONST_2 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(139,axiom,
constr_CONST_4 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax110) ).
thf(493,plain,
constr_CONST_4 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(62,axiom,
constr_CONST_1 != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(317,plain,
constr_CONST_1 != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(8,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(156,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(97,axiom,
name_c != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(403,plain,
name_c != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(3,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(141,plain,
constr_CONST_4 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(104,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_3_get_1_prefixes @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax108) ).
thf(420,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_3_get_1_prefixes @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(31,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(225,plain,
constr_CONST_1 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(131,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ pred_attacker )
& ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
thf(476,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ pred_attacker )
& ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(137,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_2 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
thf(489,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_2 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(123,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_dec_2 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
thf(457,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_dec_2 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(84,axiom,
! [A: $i] :
( ( name_B @ ( name_A @ tuple_server_S_in_1 ) @ pred_attacker )
=> ( name_Kas @ ( name_Kbs @ ( A @ name_T_55 @ ( A @ name_Kab_54 @ ( name_A @ constr_cbc_enc_3 ) ) ) @ ( A @ name_T_55 @ ( A @ name_Kab_54 @ ( name_B @ constr_cbc_enc_4 ) ) ) ) @ tuple_server_S_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
thf(371,plain,
! [A: $i] :
( ( name_B @ ( name_A @ tuple_server_S_in_1 ) @ pred_attacker )
=> ( name_Kas @ ( name_Kbs @ ( A @ name_T_55 @ ( A @ name_Kab_54 @ ( name_A @ constr_cbc_enc_3 ) ) ) @ ( A @ name_T_55 @ ( A @ name_Kab_54 @ ( name_B @ constr_cbc_enc_4 ) ) ) ) @ tuple_server_S_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(35,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(237,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(45,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(266,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(80,axiom,
name_A != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(360,plain,
name_A != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(60,axiom,
name_A != name_Kas,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(311,plain,
name_A != name_Kas,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(95,axiom,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
thf(398,plain,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(107,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(425,plain,
constr_CONST_4 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(109,axiom,
name_I @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax130) ).
thf(430,plain,
name_I @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(16,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(180,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(55,axiom,
constr_CONST_1 != name_Kas,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(296,plain,
constr_CONST_1 != name_Kas,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(106,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_dec_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
thf(423,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_dec_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(50,axiom,
constr_CONST_0x30 != name_Kas,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(281,plain,
constr_CONST_0x30 != name_Kas,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(24,axiom,
constr_CONST_4 != name_Kas,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(204,plain,
constr_CONST_4 != name_Kas,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(88,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_4_get_1_prefixes @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
thf(382,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_4_get_1_prefixes @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(4,axiom,
constr_CONST_3 != name_Kas,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(144,plain,
constr_CONST_3 != name_Kas,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(68,axiom,
constr_CONST_1 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(335,plain,
constr_CONST_1 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(74,axiom,
constr_CONST_2 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax112) ).
thf(350,plain,
constr_CONST_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(9,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(159,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(98,axiom,
name_Kbs != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(406,plain,
name_Kbs != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ constr_cbc_enc_2 ) ) @ constr_cbc_2_get_1_prefixes )
= ( A @ ( B @ constr_cbc_enc_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
thf(219,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ constr_cbc_enc_2 ) ) @ constr_cbc_2_get_1_prefixes )
= ( A @ ( B @ constr_cbc_enc_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(86,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).
thf(377,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(120,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_2_get_1_prefixes @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
thf(451,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_2_get_1_prefixes @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ constr_cbc_enc_4 ) ) ) ) @ constr_cbc_4_get_2_prefixes )
= ( A @ ( C @ ( B @ constr_cbc_enc_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(245,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ constr_cbc_enc_4 ) ) ) ) @ constr_cbc_4_get_2_prefixes )
= ( A @ ( C @ ( B @ constr_cbc_enc_2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(90,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_server_S_in_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
thf(387,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_server_S_in_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(64,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(323,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(1,conjecture,
name_objective @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ( name_objective @ pred_attacker ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(140,plain,
~ ( name_objective @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(27,axiom,
name_Kas != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(213,plain,
name_Kas != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(134,axiom,
name_I != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(483,plain,
name_I != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(22,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(198,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(36,axiom,
name_Kbs != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(240,plain,
name_Kbs != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(40,axiom,
constr_CONST_4 != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(251,plain,
constr_CONST_4 != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( A @ ( D @ ( C @ ( B @ constr_cbc_enc_3 ) ) ) @ constr_cbc_dec_3 ) )
= ( D @ ( C @ ( B @ tuple_3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(278,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( A @ ( D @ ( C @ ( B @ constr_cbc_enc_3 ) ) ) @ constr_cbc_dec_3 ) )
= ( D @ ( C @ ( B @ tuple_3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(122,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( E @ pred_attacker )
& ( D @ pred_attacker )
& ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( E @ ( D @ ( C @ ( B @ ( A @ constr_cbc_enc_4 ) ) ) ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax96) ).
thf(455,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( E @ pred_attacker )
& ( D @ pred_attacker )
& ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( E @ ( D @ ( C @ ( B @ ( A @ constr_cbc_enc_4 ) ) ) ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(93,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
thf(394,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(56,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ constr_cbc_enc_4 ) ) ) ) @ constr_cbc_4_get_3_prefixes )
= ( A @ ( D @ ( C @ ( B @ constr_cbc_enc_3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(299,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ constr_cbc_enc_4 ) ) ) ) @ constr_cbc_4_get_3_prefixes )
= ( A @ ( D @ ( C @ ( B @ constr_cbc_enc_3 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(110,axiom,
! [A: $i] :
( ( A @ tuple_client_B_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
thf(431,plain,
! [A: $i] :
( ( A @ tuple_client_B_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(129,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ pred_attacker )
& ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( D @ ( C @ ( B @ ( A @ constr_cbc_enc_3 ) ) ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).
thf(473,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ pred_attacker )
& ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( D @ ( C @ ( B @ ( A @ constr_cbc_enc_3 ) ) ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(10,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(162,plain,
constr_CONST_0x30 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(85,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax125) ).
thf(374,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(136,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_4_get_3_prefixes @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
thf(487,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_4_get_3_prefixes @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(78,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(355,plain,
constr_CONST_0x30 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( D @ ( C @ ( B @ constr_cbc_enc_3 ) ) ) @ constr_cbc_3_get_1_prefixes )
= ( A @ ( B @ constr_cbc_enc_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
thf(150,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( D @ ( C @ ( B @ constr_cbc_enc_3 ) ) ) @ constr_cbc_3_get_1_prefixes )
= ( A @ ( B @ constr_cbc_enc_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(101,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_server_S_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
thf(414,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_server_S_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(99,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_dec_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax100) ).
thf(409,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_dec_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(44,axiom,
name_I != name_Kas,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(263,plain,
name_I != name_Kas,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( A @ ( E @ ( D @ ( C @ ( B @ constr_cbc_enc_4 ) ) ) ) @ constr_cbc_dec_4 ) )
= ( E @ ( D @ ( C @ ( B @ tuple_4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(177,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( A @ ( E @ ( D @ ( C @ ( B @ constr_cbc_enc_4 ) ) ) ) @ constr_cbc_dec_4 ) )
= ( E @ ( D @ ( C @ ( B @ tuple_4 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(69,axiom,
name_I != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(338,plain,
name_I != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(128,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax127) ).
thf(470,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(61,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ constr_tuple_3_get_0x30 )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
thf(314,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ constr_tuple_3_get_0x30 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(117,axiom,
tuple_false @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
thf(446,plain,
tuple_false @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(33,axiom,
name_A != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(231,plain,
name_A != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(81,axiom,
! [A: $i] :
( ( ( A @ tuple_client_B_in_1 @ pred_attacker )
& ( name_Kbs @ ( A @ constr_cbc_dec_3 ) @ constr_tuple_3_get_0x30 @ ( name_A @ pred_eq_bitstring_bitstring ) ) )
=> ( name_objective @ tuple_client_B_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax135) ).
thf(363,plain,
! [A: $i] :
( ( ( A @ tuple_client_B_in_1 @ pred_attacker )
& ( name_Kbs @ ( A @ constr_cbc_dec_3 ) @ constr_tuple_3_get_0x30 @ ( name_A @ pred_eq_bitstring_bitstring ) ) )
=> ( name_objective @ tuple_client_B_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
thf(351,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(91,axiom,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax128) ).
thf(390,plain,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ constr_tuple_3_get_2_bitstring )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
thf(186,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ constr_tuple_3_get_2_bitstring )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(13,axiom,
name_A != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(171,plain,
name_A != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(103,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
thf(418,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(53,axiom,
constr_CONST_2 != name_Kas,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(290,plain,
constr_CONST_2 != name_Kas,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(111,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_3_get_2_prefixes @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax107) ).
thf(433,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_cbc_3_get_2_prefixes @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(25,axiom,
name_B != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(207,plain,
name_B != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(132,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker )
=> ( D @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
thf(478,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker )
=> ( D @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( A @ ( C @ ( B @ constr_cbc_enc_2 ) ) @ constr_cbc_dec_2 ) )
= ( C @ ( B @ tuple_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(272,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( A @ ( C @ ( B @ constr_cbc_enc_2 ) ) @ constr_cbc_dec_2 ) )
= ( C @ ( B @ tuple_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(52,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(287,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(118,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_dec_3 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
thf(447,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_cbc_dec_3 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(12,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(168,plain,
constr_CONST_2 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(17,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(183,plain,
constr_CONST_4 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(105,axiom,
name_B @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).
thf(422,plain,
name_B @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(58,axiom,
name_I != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(305,plain,
name_I != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(26,axiom,
name_B != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(210,plain,
name_B != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(65,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(326,plain,
constr_CONST_0x30 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(70,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(341,plain,
constr_CONST_3 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(79,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_server_S_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
thf(358,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_server_S_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(21,axiom,
constr_CONST_0x30 != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(195,plain,
constr_CONST_0x30 != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(113,axiom,
! [A: $i] :
( ( name_A @ ( name_B @ tuple_server_S_in_1 ) @ pred_attacker )
=> ( name_Kbs @ ( name_Kas @ ( A @ name_T_55 @ ( A @ name_Kab_54 @ ( name_B @ constr_cbc_enc_3 ) ) ) @ ( A @ name_T_55 @ ( A @ name_Kab_54 @ ( name_A @ constr_cbc_enc_4 ) ) ) ) @ tuple_server_S_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax137) ).
thf(437,plain,
! [A: $i] :
( ( name_A @ ( name_B @ tuple_server_S_in_1 ) @ pred_attacker )
=> ( name_Kbs @ ( name_Kas @ ( A @ name_T_55 @ ( A @ name_Kab_54 @ ( name_B @ constr_cbc_enc_3 ) ) ) @ ( A @ name_T_55 @ ( A @ name_Kab_54 @ ( name_A @ constr_cbc_enc_4 ) ) ) ) @ tuple_server_S_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(96,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker )
=> ( C @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).
thf(400,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ tuple_4 ) ) ) @ pred_attacker )
=> ( C @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(126,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
thf(464,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(67,axiom,
name_A != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(332,plain,
name_A != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(124,axiom,
! [A: $i] :
( ( A @ tuple_server_S_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
thf(459,plain,
! [A: $i] :
( ( A @ tuple_server_S_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(115,axiom,
constr_CONST_0x30 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).
thf(442,plain,
constr_CONST_0x30 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(83,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( C @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
thf(369,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( C @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(41,axiom,
constr_CONST_3 != name_Kbs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(254,plain,
constr_CONST_3 != name_Kbs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(135,axiom,
constr_CONST_1 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
thf(486,plain,
constr_CONST_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(77,axiom,
name_A @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax132) ).
thf(354,plain,
name_A @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(138,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_1_bitstring @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
thf(491,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_1_bitstring @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(30,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(222,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(497,plain,
$false,
inference(e,[status(thm)],[344,347,234,308,449,440,269,384,153,174,320,257,189,284,416,228,216,475,443,348,353,480,147,293,453,396,411,243,428,248,380,201,366,302,260,392,192,275,165,467,435,329,461,493,317,156,403,141,420,225,476,489,457,371,237,266,360,311,398,425,430,180,296,423,281,204,382,144,335,350,159,406,219,377,451,245,387,323,140,213,483,198,240,251,278,455,394,299,431,473,162,374,487,355,150,414,409,263,177,338,470,314,446,231,363,351,390,186,171,418,290,433,207,478,272,287,447,168,183,422,305,210,326,341,358,195,437,400,464,332,459,442,369,254,486,354,491,222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n004.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 16:39:07 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.86/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.42/1.24 % [INFO] Parsing done (251ms).
% 1.42/1.26 % [INFO] Running in sequential loop mode.
% 2.24/1.65 % [INFO] eprover registered as external prover.
% 2.24/1.66 % [INFO] Scanning for conjecture ...
% 2.45/1.76 % [INFO] Found a conjecture (or negated_conjecture) and 138 axioms. Running axiom selection ...
% 2.62/1.87 % [INFO] Axiom selection finished. Selected 137 axioms (removed 1 axioms).
% 2.86/1.98 % [INFO] Problem is first-order (TPTP FOF).
% 2.86/2.00 % [INFO] Type checking passed.
% 2.86/2.00 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.81/3.09 % External prover 'e' found a proof!
% 5.81/3.09 % [INFO] Killing All external provers ...
% 5.81/3.09 % Time passed: 2530ms (effective reasoning time: 1823ms)
% 5.81/3.09 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.81/3.09 % Axioms used in derivation (137): ax13, ax113, ax20, ax52, ax67, ax120, ax110, ax74, ax24, ax63, ax109, ax132, ax56, ax103, ax4, ax47, ax137, ax114, ax41, ax96, ax90, ax126, ax31, ax28, ax9, ax17, ax0, ax6, ax45, ax40, ax121, ax131, ax35, ax58, ax69, ax122, ax85, ax78, ax125, ax39, ax89, ax124, ax27, ax66, ax8, ax91, ax73, ax51, ax48, ax21, ax136, ax88, ax117, ax62, ax10, ax106, ax55, ax32, ax95, ax16, ax102, ax80, ax59, ax99, ax1, ax7, ax77, ax38, ax44, ax84, ax92, ax94, ax33, ax26, ax61, ax11, ax50, ax118, ax87, ax72, ax128, ax65, ax22, ax105, ax15, ax81, ax76, ax43, ax83, ax19, ax2, ax101, ax70, ax98, ax129, ax135, ax37, ax54, ax49, ax112, ax127, ax104, ax14, ax115, ax108, ax12, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax97, ax57, ax68, ax30, ax42, ax82, ax18, ax3, ax5, ax130, ax36, ax64, ax29, ax116, ax107, ax75, ax100, ax134, ax93, ax53, ax119, ax111, ax79, ax123
% 5.81/3.09 % No. of inferences in proof: 278
% 5.81/3.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2530 ms resp. 1823 ms w/o parsing
% 6.34/3.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.34/3.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------