%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW964+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 : n012.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 09:11:18 AM UTC 2026
% Result : Theorem 8.34s 8.37s
% Output : Refutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 195
% Syntax : Number of formulae : 392 ( 234 unt; 0 typ; 0 def)
% Number of atoms : 642 ( 194 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 1572 ( 162 ~; 0 |; 92 &;1160 @)
% ( 0 <=>; 158 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 66 ( 64 usr; 16 con; 0-5 aty)
% Number of variables : 403 ( 0 ^; 403 !; 0 ?; 403 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_decl,type,
pred_attacker: $i > $o ).
thf(tuple_2_decl,type,
tuple_2: $i > $i > $i ).
thf(name_Nb_decl,type,
name_Nb: $i > $i ).
thf(name_objective_decl,type,
name_objective: $i ).
thf(constr_CONST_2_decl,type,
constr_CONST_2: $i ).
thf(name_A_decl,type,
name_A: $i ).
thf(constr_ecb_dec_1_decl,type,
constr_ecb_dec_1: $i > $i > $i ).
thf(constr_ecb_enc_1_decl,type,
constr_ecb_enc_1: $i > $i > $i ).
thf(constr_pkey_decl,type,
constr_pkey: $i > $i ).
thf(constr_CONST_1_decl,type,
constr_CONST_1: $i ).
thf(name_B_decl,type,
name_B: $i ).
thf(constr_dec_decl,type,
constr_dec: $i > $i > $i ).
thf(constr_enc_decl,type,
constr_enc: $i > $i > $i ).
thf(name_skA_decl,type,
name_skA: $i ).
thf(name_c_decl,type,
name_c: $i ).
thf(constr_CONST_0x30_decl,type,
constr_CONST_0x30: $i ).
thf(name_skS_decl,type,
name_skS: $i ).
thf(name_I_decl,type,
name_I: $i ).
thf(constr_checksign_decl,type,
constr_checksign: $i > $i > $i ).
thf(constr_sign_decl,type,
constr_sign: $i > $i > $i ).
thf(constr_CONST_4_decl,type,
constr_CONST_4: $i ).
thf(constr_CONST_3_decl,type,
constr_CONST_3: $i ).
thf(name_skB_decl,type,
name_skB: $i ).
thf(constr_ecb_dec_4_decl,type,
constr_ecb_dec_4: $i > $i > $i ).
thf(constr_ecb_enc_4_decl,type,
constr_ecb_enc_4: $i > $i > $i > $i > $i > $i ).
thf(tuple_4_decl,type,
tuple_4: $i > $i > $i > $i > $i ).
thf(pred_table_decl,type,
pred_table: $i > $o ).
thf(tuple_keys_decl,type,
tuple_keys: $i > $i > $i ).
thf(constr_ecb_dec_3_decl,type,
constr_ecb_dec_3: $i > $i > $i ).
thf(constr_ecb_enc_3_decl,type,
constr_ecb_enc_3: $i > $i > $i > $i > $i ).
thf(tuple_3_decl,type,
tuple_3: $i > $i > $i > $i ).
thf(constr_tuple_3_get_0x30_decl,type,
constr_tuple_3_get_0x30: $i > $i ).
thf(constr_getmess_decl,type,
constr_getmess: $i > $i ).
thf(pred_eq_bitstring_bitstring_decl,type,
pred_eq_bitstring_bitstring: $i > $i > $o ).
thf(constr_tuple_3_get_1_bitstring_decl,type,
constr_tuple_3_get_1_bitstring: $i > $i ).
thf(constr_tuple_3_get_2_decl,type,
constr_tuple_3_get_2: $i > $i ).
thf(constr_tuple_2_get_1_bitstring_decl,type,
constr_tuple_2_get_1_bitstring: $i > $i ).
thf(tuple_client_B_in_5_decl,type,
tuple_client_B_in_5: $i > $i ).
thf(constr_tuple_2_get_1_decl,type,
constr_tuple_2_get_1: $i > $i ).
thf(constr_ecb_dec_2_decl,type,
constr_ecb_dec_2: $i > $i > $i ).
thf(tuple_client_B_in_3_decl,type,
tuple_client_B_in_3: $i > $i ).
thf(constr_tuple_2_get_0x30_decl,type,
constr_tuple_2_get_0x30: $i > $i ).
thf(tuple_client_B_in_2_decl,type,
tuple_client_B_in_2: $i > $i ).
thf(tuple_client_B_out_6_decl,type,
tuple_client_B_out_6: $i > $i ).
thf(tuple_key_retrieval_server_in_1_decl,type,
tuple_key_retrieval_server_in_1: $i > $i > $i ).
thf(constr_ecb_enc_2_decl,type,
constr_ecb_enc_2: $i > $i > $i > $i ).
thf(tuple_client_B_out_1_decl,type,
tuple_client_B_out_1: $i > $i > $i ).
thf(constr_tuple_2_get_0x30_bitstring_decl,type,
constr_tuple_2_get_0x30_bitstring: $i > $i ).
thf(tuple_out_3_decl,type,
tuple_out_3: $i > $i ).
thf(tuple_out_1_decl,type,
tuple_out_1: $i > $i ).
thf(tuple_client_A_out_5_decl,type,
tuple_client_A_out_5: $i > $i ).
thf(tuple_key_register_server_in_1_decl,type,
tuple_key_register_server_in_1: $i > $i > $i ).
thf(tuple_client_A_in_2_decl,type,
tuple_client_A_in_2: $i > $i ).
thf(tuple_key_retrieval_server_out_2_decl,type,
tuple_key_retrieval_server_out_2: $i > $i ).
thf(pred_mess_decl,type,
pred_mess: $i > $i > $o ).
thf(tuple_client_A_out_3_decl,type,
tuple_client_A_out_3: $i > $i ).
thf(tuple_client_A_out_1_decl,type,
tuple_client_A_out_1: $i > $i > $i ).
thf(name_Na_decl,type,
name_Na: $i > $i ).
thf(tuple_client_A_in_4_decl,type,
tuple_client_A_in_4: $i > $i ).
thf(tuple_out_2_decl,type,
tuple_out_2: $i > $i ).
thf(tuple_client_B_out_4_decl,type,
tuple_client_B_out_4: $i > $i ).
thf(name_new0x2Dname_decl,type,
name_new0x2Dname: $i > $i ).
thf(tuple_true_decl,type,
tuple_true: $i ).
thf(tuple_false_decl,type,
tuple_false: $i ).
thf(181,axiom,
name_A @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax179) ).
thf(645,plain,
name_A @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(60,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( D @ ( C @ ( B @ constr_ecb_enc_3 ) ) ) )
= ( A @ ( D @ constr_ecb_enc_1 ) @ ( A @ ( C @ constr_ecb_enc_1 ) @ ( A @ ( B @ constr_ecb_enc_1 ) @ tuple_3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
thf(365,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( D @ ( C @ ( B @ constr_ecb_enc_3 ) ) ) )
= ( A @ ( D @ constr_ecb_enc_1 ) @ ( A @ ( C @ constr_ecb_enc_1 ) @ ( A @ ( B @ constr_ecb_enc_1 ) @ tuple_3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(103,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( C @ ( B @ ( A @ constr_ecb_enc_2 ) ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax125) ).
thf(479,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ pred_attacker )
& ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( C @ ( B @ ( A @ constr_ecb_enc_2 ) ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(53,axiom,
name_skB @ constr_pkey @ ( name_B @ tuple_keys ) @ pred_table,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax183) ).
thf(347,plain,
name_skB @ constr_pkey @ ( name_B @ tuple_keys ) @ pred_table,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(173,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',ax167) ).
thf(628,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)],[173]) ).
thf(120,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_out_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
thf(518,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_out_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(98,axiom,
! [A: $i] :
( ( A @ tuple_client_B_in_5 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax140) ).
thf(468,plain,
! [A: $i] :
( ( A @ tuple_client_B_in_5 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(104,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_dec ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).
thf(481,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_dec ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(9,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(217,plain,
constr_CONST_0x30 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(40,axiom,
constr_CONST_2 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(308,plain,
constr_CONST_2 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(19,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(247,plain,
constr_CONST_3 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(117,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_key_register_server_in_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
thf(511,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_key_register_server_in_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(165,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_dec_3 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax128) ).
thf(614,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_dec_3 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ constr_pkey @ ( B @ constr_ecb_enc_1 ) @ constr_ecb_dec_1 ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
thf(202,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ constr_pkey @ ( B @ constr_ecb_enc_1 ) @ constr_ecb_dec_1 ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(157,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ constr_tuple_2_get_0x30_bitstring )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
thf(597,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ constr_tuple_2_get_0x30_bitstring )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(135,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax169) ).
thf(550,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)],[135]) ).
thf(113,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',ax165) ).
thf(500,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)],[113]) ).
thf(100,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_out_6 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax132) ).
thf(472,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_out_6 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(193,axiom,
constr_CONST_2 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax159) ).
thf(670,plain,
constr_CONST_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(73,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',ax88) ).
thf(404,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)],[73]) ).
thf(84,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ constr_tuple_2_get_1_bitstring )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
thf(436,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ constr_tuple_2_get_1_bitstring )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(184,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax96) ).
thf(651,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(44,axiom,
name_I != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(320,plain,
name_I != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(141,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_key_register_server_in_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
thf(565,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_key_register_server_in_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(68,axiom,
constr_CONST_1 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(389,plain,
constr_CONST_1 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(152,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ constr_tuple_2_get_1 )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
thf(587,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ constr_tuple_2_get_1 )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(52,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ constr_sign ) @ constr_getmess )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
thf(344,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ constr_sign ) @ constr_getmess )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(57,axiom,
! [A: $i,B: $i] : ( B @ ( A @ pred_eq_bitstring_bitstring ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
thf(357,plain,
! [A: $i,B: $i] : ( B @ ( A @ pred_eq_bitstring_bitstring ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(132,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax147) ).
thf(542,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(94,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_2_get_0x30_bitstring @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
thf(460,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_2_get_0x30_bitstring @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(178,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_out_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax151) ).
thf(638,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_out_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(77,axiom,
name_A != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(416,plain,
name_A != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(33,axiom,
constr_CONST_4 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(289,plain,
constr_CONST_4 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(109,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_B_out_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
thf(492,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_B_out_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(154,axiom,
! [A: $i] :
( ( A @ tuple_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
thf(591,plain,
! [A: $i] :
( ( A @ tuple_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(87,axiom,
name_I != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(443,plain,
name_I != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(170,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_key_register_server_in_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).
thf(623,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_key_register_server_in_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(106,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ tuple_key_register_server_in_1 ) @ pred_attacker )
& ( A != name_A )
& ( A != name_B ) )
=> ( B @ ( A @ tuple_keys ) @ pred_table ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax194) ).
thf(485,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ tuple_key_register_server_in_1 ) @ pred_attacker )
& ( A != name_A )
& ( A != name_B ) )
=> ( B @ ( A @ tuple_keys ) @ pred_table ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(16,axiom,
constr_CONST_3 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(238,plain,
constr_CONST_3 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,axiom,
name_B != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(211,plain,
name_B != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(182,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',ax166) ).
thf(646,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)],[182]) ).
thf(21,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(253,plain,
constr_CONST_0x30 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(54,axiom,
constr_CONST_3 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(348,plain,
constr_CONST_3 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(145,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_A_in_2 @ pred_attacker )
& ( name_skS @ constr_pkey @ ( C @ constr_checksign ) @ constr_tuple_2_get_0x30 @ ( name_I @ pred_eq_bitstring_bitstring ) )
& ( B @ tuple_client_A_in_4 @ pred_attacker )
& ( name_skA @ ( B @ constr_ecb_dec_3 ) @ constr_tuple_3_get_0x30 @ ( A @ name_Na @ pred_eq_bitstring_bitstring ) )
& ( name_skA @ ( B @ constr_ecb_dec_3 ) @ constr_tuple_3_get_2 @ ( name_I @ pred_eq_bitstring_bitstring ) ) )
=> ( name_skS @ constr_pkey @ ( C @ constr_checksign ) @ constr_tuple_2_get_1_bitstring @ ( name_skA @ ( B @ constr_ecb_dec_3 ) @ constr_tuple_3_get_1_bitstring @ constr_ecb_enc_1 ) @ tuple_client_A_out_5 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax189) ).
thf(574,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_A_in_2 @ pred_attacker )
& ( name_skS @ constr_pkey @ ( C @ constr_checksign ) @ constr_tuple_2_get_0x30 @ ( name_I @ pred_eq_bitstring_bitstring ) )
& ( B @ tuple_client_A_in_4 @ pred_attacker )
& ( name_skA @ ( B @ constr_ecb_dec_3 ) @ constr_tuple_3_get_0x30 @ ( A @ name_Na @ pred_eq_bitstring_bitstring ) )
& ( name_skA @ ( B @ constr_ecb_dec_3 ) @ constr_tuple_3_get_2 @ ( name_I @ pred_eq_bitstring_bitstring ) ) )
=> ( name_skS @ constr_pkey @ ( C @ constr_checksign ) @ constr_tuple_2_get_1_bitstring @ ( name_skA @ ( B @ constr_ecb_dec_3 ) @ constr_tuple_3_get_1_bitstring @ constr_ecb_enc_1 ) @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(159,axiom,
constr_CONST_0x30 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax161) ).
thf(602,plain,
constr_CONST_0x30 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(30,axiom,
name_I != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(280,plain,
name_I != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(176,axiom,
tuple_false @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
thf(634,plain,
tuple_false @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(91,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_key_retrieval_server_in_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
thf(453,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_key_retrieval_server_in_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(81,axiom,
constr_CONST_0x30 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(428,plain,
constr_CONST_0x30 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(25,axiom,
constr_CONST_0x30 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(265,plain,
constr_CONST_0x30 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(34,axiom,
constr_CONST_4 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(292,plain,
constr_CONST_4 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(65,axiom,
name_c != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(380,plain,
name_c != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(85,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_2 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax171) ).
thf(439,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)],[85]) ).
thf(125,axiom,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax175) ).
thf(529,plain,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(189,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_sign ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
thf(661,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_sign ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(10,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(220,plain,
constr_CONST_1 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(128,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(534,plain,
constr_CONST_4 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(38,axiom,
constr_CONST_1 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(302,plain,
constr_CONST_1 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(139,axiom,
! [A: $i] :
( ( A @ tuple_client_B_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax144) ).
thf(561,plain,
! [A: $i] :
( ( A @ tuple_client_B_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(69,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(392,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(74,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(407,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(174,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_A_out_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax149) ).
thf(630,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_A_out_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( A @ constr_pkey @ ( A @ ( B @ constr_sign ) @ constr_checksign ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
thf(229,plain,
! [A: $i,B: $i] :
( ( A @ constr_pkey @ ( A @ ( B @ constr_sign ) @ constr_checksign ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,conjecture,
! [A: $i] : ( name_objective @ ( A @ name_Nb @ tuple_2 ) @ pred_attacker ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ! [A: $i] : ( name_objective @ ( A @ name_Nb @ tuple_2 ) @ pred_attacker ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(197,plain,
~ ! [A: $i] : ( name_objective @ ( A @ name_Nb @ tuple_2 ) @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ constr_ecb_enc_4 ) ) ) ) )
= ( A @ ( E @ constr_ecb_enc_1 ) @ ( A @ ( D @ constr_ecb_enc_1 ) @ ( A @ ( C @ constr_ecb_enc_1 ) @ ( A @ ( B @ constr_ecb_enc_1 ) @ tuple_4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
thf(329,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( E @ ( D @ ( C @ ( B @ constr_ecb_enc_4 ) ) ) ) )
= ( A @ ( E @ constr_ecb_enc_1 ) @ ( A @ ( D @ constr_ecb_enc_1 ) @ ( A @ ( C @ constr_ecb_enc_1 ) @ ( A @ ( B @ constr_ecb_enc_1 ) @ tuple_4 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(191,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_key_retrieval_server_in_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).
thf(665,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_key_retrieval_server_in_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(92,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( A @ constr_pkey @ ( C @ ( B @ constr_ecb_enc_2 ) ) @ constr_ecb_dec_2 ) )
= ( C @ ( B @ tuple_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
thf(456,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( A @ constr_pkey @ ( C @ ( B @ constr_ecb_enc_2 ) ) @ constr_ecb_dec_2 ) )
= ( C @ ( B @ tuple_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(149,axiom,
name_I @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax177) ).
thf(583,plain,
name_I @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(122,axiom,
! [A: $i] :
( ( A @ tuple_client_A_out_5 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax146) ).
thf(522,plain,
! [A: $i] :
( ( A @ tuple_client_A_out_5 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(43,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(317,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(155,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_enc ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
thf(593,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_enc ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(22,axiom,
name_B != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(256,plain,
name_B != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(107,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_in_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax154) ).
thf(488,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_in_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(129,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax143) ).
thf(537,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(102,axiom,
name_c != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(476,plain,
name_c != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(124,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',ax163) ).
thf(526,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)],[124]) ).
thf(153,axiom,
name_skA @ constr_pkey @ tuple_out_1 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax184) ).
thf(590,plain,
name_skA @ constr_pkey @ tuple_out_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(134,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax172) ).
thf(547,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(169,axiom,
name_skB @ constr_pkey @ tuple_out_2 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax185) ).
thf(622,plain,
name_skB @ constr_pkey @ tuple_out_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(119,axiom,
name_objective != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
thf(515,plain,
name_objective != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(62,axiom,
constr_CONST_4 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(371,plain,
constr_CONST_4 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(114,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_enc_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
thf(503,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_enc_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(161,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax110) ).
thf(605,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(18,axiom,
name_skA != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
thf(244,plain,
name_skA != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(5,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(205,plain,
constr_CONST_1 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(116,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ constr_tuple_2_get_0x30 )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
thf(508,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ constr_tuple_2_get_0x30 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(41,axiom,
name_I != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(311,plain,
name_I != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(131,axiom,
name_skS @ constr_pkey @ tuple_out_3 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax186) ).
thf(541,plain,
name_skS @ constr_pkey @ tuple_out_3 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(187,axiom,
! [A: $i] :
( ( A @ tuple_client_B_out_6 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax133) ).
thf(657,plain,
! [A: $i] :
( ( A @ tuple_client_B_out_6 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(71,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(398,plain,
constr_CONST_4 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(138,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax168) ).
thf(558,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)],[138]) ).
thf(151,axiom,
name_c @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax176) ).
thf(586,plain,
name_c @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(167,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_out_4 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
thf(618,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_out_4 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(80,axiom,
constr_CONST_1 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(425,plain,
constr_CONST_1 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(118,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
thf(513,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(36,axiom,
name_A != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(296,plain,
name_A != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(150,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).
thf(584,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(32,axiom,
constr_CONST_2 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(286,plain,
constr_CONST_2 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(147,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_0x30 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax98) ).
thf(579,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_0x30 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(23,axiom,
name_B != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(259,plain,
name_B != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(76,axiom,
constr_CONST_0x30 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(413,plain,
constr_CONST_0x30 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(112,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_dec_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax130) ).
thf(498,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_dec_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(97,axiom,
! [A: $i] :
( ( A @ tuple_out_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
thf(466,plain,
! [A: $i] :
( ( A @ tuple_out_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(49,axiom,
name_I != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(335,plain,
name_I != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(28,axiom,
constr_CONST_4 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(274,plain,
constr_CONST_4 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(78,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(419,plain,
constr_CONST_3 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(64,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(377,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(83,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_ecb_enc_3 ) ) ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
thf(434,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_ecb_enc_3 ) ) ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(166,axiom,
! [A: $i] :
( ( A @ tuple_client_A_in_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax153) ).
thf(616,plain,
! [A: $i] :
( ( A @ tuple_client_A_in_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(59,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(362,plain,
constr_CONST_4 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(142,axiom,
name_I @ ( name_A @ tuple_client_A_out_1 ) @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax187) ).
thf(567,plain,
name_I @ ( name_A @ tuple_client_A_out_1 ) @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(27,axiom,
name_A != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(271,plain,
name_A != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_enc ) @ constr_dec ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
thf(208,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_enc ) @ constr_dec ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(110,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax141) ).
thf(494,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(163,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(609,plain,
constr_CONST_1 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(45,axiom,
name_skA != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
thf(323,plain,
name_skA != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(105,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_ecb_enc_4 ) ) ) ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
thf(483,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_ecb_enc_4 ) ) ) ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(121,axiom,
! [A: $i] :
( ( A @ tuple_key_retrieval_server_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
thf(520,plain,
! [A: $i] :
( ( A @ tuple_key_retrieval_server_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(171,axiom,
constr_CONST_1 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax160) ).
thf(626,plain,
constr_CONST_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(95,axiom,
! [A: $i] :
( ( A @ tuple_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax107) ).
thf(462,plain,
! [A: $i] :
( ( A @ tuple_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(11,axiom,
name_A != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(223,plain,
name_A != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(140,axiom,
! [A: $i] :
( ( A @ tuple_client_A_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax148) ).
thf(563,plain,
! [A: $i] :
( ( A @ tuple_client_A_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(37,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).
thf(299,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(12,axiom,
name_B != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(226,plain,
name_B != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(115,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(505,plain,
constr_CONST_3 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(82,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(431,plain,
constr_CONST_2 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(17,axiom,
name_c != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(241,plain,
name_c != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(185,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ tuple_key_retrieval_server_in_1 ) @ pred_attacker )
& ( B @ ( A @ tuple_keys ) @ pred_table ) )
=> ( name_skS @ ( B @ ( A @ tuple_2 ) @ constr_sign ) @ tuple_key_retrieval_server_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax193) ).
thf(653,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ tuple_key_retrieval_server_in_1 ) @ pred_attacker )
& ( B @ ( A @ tuple_keys ) @ pred_table ) )
=> ( name_skS @ ( B @ ( A @ tuple_2 ) @ constr_sign ) @ tuple_key_retrieval_server_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(126,axiom,
constr_CONST_4 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax157) ).
thf(531,plain,
constr_CONST_4 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(190,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_key_retrieval_server_in_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).
thf(663,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_key_retrieval_server_in_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(63,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(374,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(183,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_out_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax150) ).
thf(648,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_out_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(136,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ constr_ecb_enc_2 ) ) )
= ( A @ ( C @ constr_ecb_enc_1 ) @ ( A @ ( B @ constr_ecb_enc_1 ) @ tuple_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
thf(553,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ constr_ecb_enc_2 ) ) )
= ( A @ ( C @ constr_ecb_enc_1 ) @ ( A @ ( B @ constr_ecb_enc_1 ) @ tuple_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(108,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_getmess @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
thf(490,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_getmess @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(196,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(675,plain,
constr_CONST_2 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(179,axiom,
name_A != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(640,plain,
name_A != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(35,axiom,
name_skA @ constr_pkey @ ( name_A @ tuple_keys ) @ pred_table,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax182) ).
thf(295,plain,
name_skA @ constr_pkey @ ( name_A @ tuple_keys ) @ pred_table,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(86,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_5 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax139) ).
thf(441,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_5 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(50,axiom,
name_A != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(338,plain,
name_A != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(58,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(359,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(180,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_2_get_1_bitstring @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
thf(643,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_2_get_1_bitstring @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(133,axiom,
name_objective != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
thf(544,plain,
name_objective != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(3,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(199,plain,
constr_CONST_2 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(195,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_pkey @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
thf(673,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_pkey @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(99,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax145) ).
thf(470,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(146,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(576,plain,
constr_CONST_0x30 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(186,axiom,
name_B @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax178) ).
thf(656,plain,
name_B @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(158,axiom,
! [A: $i] :
( ( A @ tuple_client_B_out_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax135) ).
thf(600,plain,
! [A: $i] :
( ( A @ tuple_client_B_out_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(67,axiom,
name_B != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(386,plain,
name_B != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( A @ constr_pkey @ ( D @ ( C @ ( B @ constr_ecb_enc_3 ) ) ) @ constr_ecb_dec_3 ) )
= ( D @ ( C @ ( B @ tuple_3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
thf(314,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( A @ constr_pkey @ ( D @ ( C @ ( B @ constr_ecb_enc_3 ) ) ) @ constr_ecb_dec_3 ) )
= ( D @ ( C @ ( B @ tuple_3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(156,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax108) ).
thf(595,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(164,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_1_bitstring @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).
thf(612,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_3_get_1_bitstring @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(88,axiom,
constr_CONST_3 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax158) ).
thf(446,plain,
constr_CONST_3 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(144,axiom,
name_objective != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
thf(571,plain,
name_objective != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(20,axiom,
name_c != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(250,plain,
name_c != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(172,axiom,
tuple_true @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
thf(627,plain,
tuple_true @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(90,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',ax164) ).
thf(450,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)],[90]) ).
thf(137,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_checksign ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax156) ).
thf(556,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_checksign ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(130,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_dec_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax127) ).
thf(539,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_dec_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(194,axiom,
! [A: $i,B: $i] :
( ( ( B @ tuple_client_A_in_2 @ pred_attacker )
& ( name_skS @ constr_pkey @ ( B @ constr_checksign ) @ constr_tuple_2_get_0x30 @ ( name_I @ pred_eq_bitstring_bitstring ) ) )
=> ( name_skS @ constr_pkey @ ( B @ constr_checksign ) @ constr_tuple_2_get_1_bitstring @ ( name_A @ ( A @ name_Na @ constr_ecb_enc_2 ) ) @ tuple_client_A_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax188) ).
thf(671,plain,
! [A: $i,B: $i] :
( ( ( B @ tuple_client_A_in_2 @ pred_attacker )
& ( name_skS @ constr_pkey @ ( B @ constr_checksign ) @ constr_tuple_2_get_0x30 @ ( name_I @ pred_eq_bitstring_bitstring ) ) )
=> ( name_skS @ constr_pkey @ ( B @ constr_checksign ) @ constr_tuple_2_get_1_bitstring @ ( name_A @ ( A @ name_Na @ constr_ecb_enc_2 ) ) @ tuple_client_A_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(61,axiom,
constr_CONST_0x30 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(368,plain,
constr_CONST_0x30 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(123,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_2_get_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax100) ).
thf(524,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_2_get_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(148,axiom,
! [A: $i] :
( ( A @ tuple_client_B_in_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax142) ).
thf(581,plain,
! [A: $i] :
( ( A @ tuple_client_B_in_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(55,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(351,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(175,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_B_in_2 @ pred_attacker )
& ( name_skS @ constr_pkey @ ( C @ constr_checksign ) @ constr_tuple_2_get_0x30 @ ( name_A @ pred_eq_bitstring_bitstring ) )
& ( B @ tuple_client_B_in_3 @ pred_attacker )
& ( name_skB @ ( B @ constr_ecb_dec_2 ) @ constr_tuple_2_get_1 @ ( name_A @ pred_eq_bitstring_bitstring ) ) )
=> ( name_skS @ constr_pkey @ ( C @ constr_checksign ) @ constr_tuple_2_get_1_bitstring @ ( name_B @ ( A @ name_Nb @ ( name_skB @ ( B @ constr_ecb_dec_2 ) @ constr_tuple_2_get_0x30_bitstring @ constr_ecb_enc_3 ) ) ) @ tuple_client_B_out_4 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax191) ).
thf(632,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_B_in_2 @ pred_attacker )
& ( name_skS @ constr_pkey @ ( C @ constr_checksign ) @ constr_tuple_2_get_0x30 @ ( name_A @ pred_eq_bitstring_bitstring ) )
& ( B @ tuple_client_B_in_3 @ pred_attacker )
& ( name_skB @ ( B @ constr_ecb_dec_2 ) @ constr_tuple_2_get_1 @ ( name_A @ pred_eq_bitstring_bitstring ) ) )
=> ( name_skS @ constr_pkey @ ( C @ constr_checksign ) @ constr_tuple_2_get_1_bitstring @ ( name_B @ ( A @ name_Nb @ ( name_skB @ ( B @ constr_ecb_dec_2 ) @ constr_tuple_2_get_0x30_bitstring @ constr_ecb_enc_3 ) ) ) @ tuple_client_B_out_4 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(72,axiom,
constr_CONST_3 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(401,plain,
constr_CONST_3 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(143,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax174) ).
thf(568,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(15,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(235,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(192,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_out_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax137) ).
thf(667,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_out_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(66,axiom,
constr_CONST_2 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(383,plain,
constr_CONST_2 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(8,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(214,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(168,axiom,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax181) ).
thf(620,plain,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(89,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ tuple_client_B_in_2 @ pred_attacker )
& ( name_skS @ constr_pkey @ ( D @ constr_checksign ) @ constr_tuple_2_get_0x30 @ ( name_A @ pred_eq_bitstring_bitstring ) )
& ( B @ tuple_client_B_in_3 @ pred_attacker )
& ( name_skB @ ( B @ constr_ecb_dec_2 ) @ constr_tuple_2_get_1 @ ( name_A @ pred_eq_bitstring_bitstring ) )
& ( C @ tuple_client_B_in_5 @ pred_attacker )
& ( name_skB @ ( C @ constr_ecb_dec_1 ) @ ( A @ name_Nb @ pred_eq_bitstring_bitstring ) ) )
=> ( name_objective @ tuple_client_B_out_6 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax192) ).
thf(447,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ tuple_client_B_in_2 @ pred_attacker )
& ( name_skS @ constr_pkey @ ( D @ constr_checksign ) @ constr_tuple_2_get_0x30 @ ( name_A @ pred_eq_bitstring_bitstring ) )
& ( B @ tuple_client_B_in_3 @ pred_attacker )
& ( name_skB @ ( B @ constr_ecb_dec_2 ) @ constr_tuple_2_get_1 @ ( name_A @ pred_eq_bitstring_bitstring ) )
& ( C @ tuple_client_B_in_5 @ pred_attacker )
& ( name_skB @ ( C @ constr_ecb_dec_1 ) @ ( A @ name_Nb @ pred_eq_bitstring_bitstring ) ) )
=> ( name_objective @ tuple_client_B_out_6 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(75,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ constr_tuple_3_get_2 )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
thf(410,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ constr_tuple_3_get_2 )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( A @ constr_pkey @ ( E @ ( D @ ( C @ ( B @ constr_ecb_enc_4 ) ) ) ) @ constr_ecb_dec_4 ) )
= ( E @ ( D @ ( C @ ( B @ tuple_4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
thf(262,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( A @ constr_pkey @ ( E @ ( D @ ( C @ ( B @ constr_ecb_enc_4 ) ) ) ) @ constr_ecb_dec_4 ) )
= ( E @ ( D @ ( C @ ( B @ tuple_4 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(79,axiom,
constr_CONST_2 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(422,plain,
constr_CONST_2 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(160,axiom,
! [A: $i] :
( ( A @ tuple_client_A_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax155) ).
thf(603,plain,
! [A: $i] :
( ( A @ tuple_client_A_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(39,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(305,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(46,axiom,
constr_CONST_1 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(326,plain,
constr_CONST_1 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(51,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',ax92) ).
thf(341,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)],[51]) ).
thf(26,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(268,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(101,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ tuple_3 ) ) @ pred_attacker )
=> ( C @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax170) ).
thf(474,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)],[101]) ).
thf(177,axiom,
name_B != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(635,plain,
name_B != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(127,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_2_get_0x30 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
thf(532,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_tuple_2_get_0x30 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(31,axiom,
constr_CONST_3 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(283,plain,
constr_CONST_3 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(70,axiom,
name_A != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(395,plain,
name_A != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(96,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_dec_2 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax129) ).
thf(464,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_ecb_dec_2 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(48,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(332,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(93,axiom,
name_A @ ( name_B @ tuple_client_B_out_1 ) @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax190) ).
thf(459,plain,
name_A @ ( name_B @ tuple_client_B_out_1 ) @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(29,axiom,
name_skB != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
thf(277,plain,
name_skB != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(162,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_key_retrieval_server_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax112) ).
thf(607,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_key_retrieval_server_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(56,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(354,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(188,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_in_4 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax152) ).
thf(659,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_in_4 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(111,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',ax162) ).
thf(496,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)],[111]) ).
thf(14,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(232,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(687,plain,
$false,
inference(e,[status(thm)],[645,365,479,347,628,518,468,481,217,308,247,511,614,202,597,550,500,472,670,404,436,651,320,565,389,587,344,357,542,460,638,416,289,492,591,443,623,485,238,211,646,253,348,574,602,280,634,453,428,265,292,380,439,529,661,220,534,302,561,392,407,630,229,197,329,665,456,583,522,317,593,256,488,537,476,526,590,547,622,515,371,503,605,244,205,508,311,541,657,398,558,586,618,425,513,296,584,286,579,259,413,498,466,335,274,419,377,434,616,362,567,271,208,494,609,323,483,520,626,462,223,563,299,226,505,431,241,653,531,663,374,648,553,490,675,640,295,441,338,359,643,544,199,673,470,576,656,600,386,314,595,612,446,571,250,627,450,556,539,671,368,524,581,351,632,401,568,235,667,383,214,620,447,410,262,422,603,305,326,341,268,474,635,532,283,395,464,332,459,277,607,354,659,496,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW964+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % 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
% 0.08/5.52 % Computer : n012.cluster.edu
% 0.08/5.52 % Model : x86_64 x86_64
% 0.08/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.52 % Memory : 8046.5625MB
% 0.08/5.52 % OS : Linux 6.8.0-71-generic
% 0.08/5.53 % CPULimit : 300
% 0.08/5.53 % WCLimit : 300
% 0.08/5.53 % DateTime : Sat Sep 26 16:38:41 UTC 2026
% 0.08/5.53 % CPUTime :
% 0.08/5.53 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
% 0.11/6.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/6.22 % [INFO] Parsing done (222ms).
% 1.29/6.23 % [INFO] Running in sequential loop mode.
% 2.07/6.55 % [INFO] eprover registered as external prover.
% 2.07/6.56 % [INFO] Scanning for conjecture ...
% 2.30/6.66 % [INFO] Found a conjecture (or negated_conjecture) and 195 axioms. Running axiom selection ...
% 2.48/6.77 % [INFO] Axiom selection finished. Selected 194 axioms (removed 1 axioms).
% 2.85/6.88 % [INFO] Problem is first-order (TPTP FOF).
% 3.19/6.90 % [INFO] Type checking passed.
% 3.19/6.90 % [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 ...
% 8.34/8.36 % External prover 'e' found a proof!
% 8.34/8.36 % [INFO] Killing All external provers ...
% 8.34/8.36 % Time passed: 2716ms (effective reasoning time: 2121ms)
% 8.34/8.36 % 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)>
% 8.34/8.36 % Axioms used in derivation (194): ax113, ax20, ax52, ax67, ax120, ax110, ax74, ax143, ax148, ax24, ax63, ax188, ax109, ax166, ax132, ax56, ax103, ax4, ax47, ax137, ax114, ax177, ax41, ax159, ax96, ax126, ax154, ax31, ax90, ax184, ax28, ax9, ax153, ax147, ax17, ax158, ax0, ax6, ax133, ax45, ax40, ax121, ax131, ax35, ax58, ax69, ax122, ax85, ax13, ax191, ax187, ax174, ax155, ax142, ax78, ax125, ax39, ax89, ax176, ax185, ax190, ax124, ax27, ax66, ax178, ax8, ax91, ax183, ax73, ax51, ax48, ax21, ax172, ax136, ax160, ax167, ax88, ax150, ax194, ax157, ax117, ax10, ax189, ax62, ax146, ax106, ax55, ax32, ax95, ax16, ax80, ax59, ax99, ax102, ax173, ax1, ax7, ax77, ax38, ax164, ax44, ax84, ax175, ax139, ax92, ax94, ax186, ax33, ax26, ax61, ax168, ax11, ax50, ax118, ax87, ax162, ax72, ax128, ax65, ax22, ax179, ax105, ax15, ax145, ax81, ax76, ax43, ax83, ax151, ax19, ax193, ax2, ax101, ax70, ax140, ax98, ax129, ax171, ax135, ax37, ax161, ax182, ax54, ax49, ax112, ax127, ax104, ax165, ax138, ax14, ax144, ax163, ax115, ax149, ax108, ax12, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax97, ax57, ax68, ax30, ax170, ax42, ax82, ax192, ax18, ax156, ax3, ax141, ax5, ax130, ax36, ax64, ax29, ax116, ax107, ax181, ax75, ax100, ax134, ax93, ax169, ax152, ax53, ax119, ax111, ax79, ax123
% 8.34/8.36 % No. of inferences in proof: 392
% 8.34/8.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2716 ms resp. 2121 ms w/o parsing
% 8.76/8.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.76/8.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------