%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW958+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 : n011.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 09:11:17 AM UTC 2026
% Result : Theorem 123.72s 33.66s
% Output : Refutation 115.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 276
% Syntax : Number of formulae : 1533 (1087 unt; 0 typ; 0 def)
% Number of atoms : 2909 (1288 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 4755 (1497 ~; 427 |; 48 &;2654 @)
% ( 0 <=>; 129 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 54 ( 51 usr; 24 con; 0-2 aty)
% Number of variables : 499 ( 0 ^; 494 !; 5 ?; 499 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_decl,type,
pred_attacker: $i > $o ).
thf(name_Sa_decl,type,
name_Sa: $i ).
thf(constr_CONST_4_decl,type,
constr_CONST_4: $i ).
thf(name_Sc_decl,type,
name_Sc: $i ).
thf(constr_CONST_0x30_decl,type,
constr_CONST_0x30: $i ).
thf(name_c_decl,type,
name_c: $i ).
thf(name_C_decl,type,
name_C: $i ).
thf(name_Na_decl,type,
name_Na: $i ).
thf(constr_CONST_3_decl,type,
constr_CONST_3: $i ).
thf(constr_ZERO_decl,type,
constr_ZERO: $i ).
thf(name_skD_decl,type,
name_skD: $i ).
thf(name_Sd_decl,type,
name_Sd: $i ).
thf(name_A_decl,type,
name_A: $i ).
thf(name_Sb_decl,type,
name_Sb: $i ).
thf(constr_CONST_1_decl,type,
constr_CONST_1: $i ).
thf(name_D_decl,type,
name_D: $i ).
thf(name_skC_decl,type,
name_skC: $i ).
thf(constr_adec_decl,type,
constr_adec: $i > $i > $i ).
thf(constr_aenc_decl,type,
constr_aenc: $i > $i > $i ).
thf(constr_pkey_decl,type,
constr_pkey: $i > $i ).
thf(constr_CONST_2_decl,type,
constr_CONST_2: $i ).
thf(constr_add_decl,type,
constr_add: $i > $i > $i ).
thf(name_skB_decl,type,
name_skB: $i ).
thf(name_skA_decl,type,
name_skA: $i ).
thf(name_B_decl,type,
name_B: $i ).
thf(constr_neg_decl,type,
constr_neg: $i > $i ).
thf(tuple_out_2_decl,type,
tuple_out_2: $i > $i ).
thf(tuple_client_C_out_4_decl,type,
tuple_client_C_out_4: $i > $i > $i ).
thf(tuple_client_B_in_3_decl,type,
tuple_client_B_in_3: $i > $i > $i ).
thf(tuple_client_A_in_2_decl,type,
tuple_client_A_in_2: $i > $i ).
thf(tuple_client_A_out_5_decl,type,
tuple_client_A_out_5: $i > $i ).
thf(tuple_client_D_in_2_decl,type,
tuple_client_D_in_2: $i > $i ).
thf(tuple_client_D_in_1_decl,type,
tuple_client_D_in_1: $i > $i ).
thf(tuple_client_A_in_4_decl,type,
tuple_client_A_in_4: $i > $i > $i ).
thf(tuple_out_3_decl,type,
tuple_out_3: $i > $i ).
thf(tuple_client_A_out_3_decl,type,
tuple_client_A_out_3: $i > $i > $i ).
thf(tuple_client_C_in_3_decl,type,
tuple_client_C_in_3: $i > $i > $i ).
thf(tuple_out_1_decl,type,
tuple_out_1: $i > $i ).
thf(tuple_client_D_in_3_decl,type,
tuple_client_D_in_3: $i > $i > $i ).
thf(tuple_client_B_in_1_decl,type,
tuple_client_B_in_1: $i > $i ).
thf(tuple_client_C_in_1_decl,type,
tuple_client_C_in_1: $i > $i ).
thf(tuple_client_D_out_4_decl,type,
tuple_client_D_out_4: $i > $i > $i ).
thf(tuple_client_C_in_2_decl,type,
tuple_client_C_in_2: $i > $i ).
thf(tuple_out_4_decl,type,
tuple_out_4: $i > $i ).
thf(tuple_client_B_in_2_decl,type,
tuple_client_B_in_2: $i > $i ).
thf(tuple_client_B_out_4_decl,type,
tuple_client_B_out_4: $i > $i > $i ).
thf(tuple_client_A_in_1_decl,type,
tuple_client_A_in_1: $i > $i ).
thf(tuple_true_decl,type,
tuple_true: $i ).
thf(name_new0x2Dname_decl,type,
name_new0x2Dname: $i > $i ).
thf(pred_mess_decl,type,
pred_mess: $i > $i > $o ).
thf(tuple_false_decl,type,
tuple_false: $i ).
thf(180,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax217) ).
thf(809,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(242,axiom,
constr_CONST_4 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax253) ).
thf(943,plain,
constr_CONST_4 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(183,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax237) ).
thf(816,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(817,plain,
! [A: $i] :
( ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(cnf,[status(esa)],[816]) ).
thf(1763,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[943,817]) ).
thf(1764,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1763]) ).
thf(1765,plain,
constr_CONST_4 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1764:[bind(A,$thf( constr_CONST_4 ))]]) ).
thf(2110,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1765,817]) ).
thf(2111,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[2110]) ).
thf(2112,plain,
constr_CONST_4 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2111:[bind(A,$thf( constr_CONST_4 @ tuple_client_A_out_5 ))]]) ).
thf(1,conjecture,
name_Sa @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ( name_Sa @ pred_attacker ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(278,plain,
~ ( name_Sa @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4426,plain,
( ( ( constr_CONST_4 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2112,278]) ).
thf(4427,plain,
( ( constr_CONST_4 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4426]) ).
thf(4447,plain,
( ( constr_CONST_4 @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[4427]) ).
thf(119,axiom,
name_Sc != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax171) ).
thf(627,plain,
name_Sc != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(628,plain,
name_Sc != name_skA,
inference(polarity_switch,[status(thm)],[627]) ).
thf(629,plain,
name_skA != name_Sc,
inference(lifteq,[status(thm)],[628]) ).
thf(31,axiom,
name_A != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
thf(363,plain,
name_A != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(364,plain,
name_A != name_skD,
inference(polarity_switch,[status(thm)],[363]) ).
thf(365,plain,
name_A != name_skD,
inference(lifteq,[status(thm)],[364]) ).
thf(254,axiom,
name_B @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax263) ).
thf(969,plain,
name_B @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(201,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax199) ).
thf(852,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(853,plain,
! [A: $i] :
( ( A @ tuple_out_3 @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(cnf,[status(esa)],[852]) ).
thf(5591,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[969,853]) ).
thf(5592,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5591]) ).
thf(5593,plain,
name_B @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5592:[bind(A,$thf( name_B ))]]) ).
thf(220,axiom,
constr_CONST_1 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax256) ).
thf(895,plain,
constr_CONST_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(5728,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[895,853]) ).
thf(5729,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5728]) ).
thf(5730,plain,
constr_CONST_1 @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5729:[bind(A,$thf( constr_CONST_1 ))]]) ).
thf(6507,plain,
( ( ( constr_CONST_1 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5730,278]) ).
thf(6508,plain,
( ( constr_CONST_1 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[6507]) ).
thf(6530,plain,
( ( constr_CONST_1 @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[6508]) ).
thf(199,axiom,
name_c @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax260) ).
thf(848,plain,
name_c @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(1754,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[848,817]) ).
thf(1755,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1754]) ).
thf(1756,plain,
name_c @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1755:[bind(A,$thf( name_c ))]]) ).
thf(2062,plain,
( ( ( name_c @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1756,278]) ).
thf(2063,plain,
( ( name_c @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2062]) ).
thf(2072,plain,
( ( name_c @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[2063]) ).
thf(25,axiom,
constr_CONST_3 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(345,plain,
constr_CONST_3 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(346,plain,
constr_CONST_3 != name_Sb,
inference(polarity_switch,[status(thm)],[345]) ).
thf(347,plain,
name_Sb != constr_CONST_3,
inference(lifteq,[status(thm)],[346]) ).
thf(198,axiom,
! [A: $i] :
( ( A @ tuple_client_B_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax236) ).
thf(846,plain,
! [A: $i] :
( ( A @ tuple_client_B_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(236,axiom,
name_A @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax264) ).
thf(928,plain,
name_A @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(1784,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[928,817]) ).
thf(1785,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1784]) ).
thf(1786,plain,
name_A @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1785:[bind(A,$thf( name_A ))]]) ).
thf(2455,plain,
( ( ( name_A @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1786,278]) ).
thf(2456,plain,
( ( name_A @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2455]) ).
thf(2463,plain,
( ( name_A @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[2456]) ).
thf(82,axiom,
constr_CONST_3 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(516,plain,
constr_CONST_3 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(517,plain,
constr_CONST_3 != name_Sc,
inference(polarity_switch,[status(thm)],[516]) ).
thf(518,plain,
constr_CONST_3 != name_Sc,
inference(lifteq,[status(thm)],[517]) ).
thf(264,axiom,
tuple_false @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax206) ).
thf(990,plain,
tuple_false @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(5713,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[990,853]) ).
thf(5714,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5713]) ).
thf(5715,plain,
tuple_false @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5714:[bind(A,$thf( tuple_false ))]]) ).
thf(6144,plain,
( ( ( tuple_false @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5715,278]) ).
thf(6145,plain,
( ( tuple_false @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[6144]) ).
thf(6172,plain,
( ( tuple_false @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[6145]) ).
thf(125,axiom,
name_Sc != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax170) ).
thf(645,plain,
name_Sc != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(219,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_out_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax228) ).
thf(892,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_out_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(69,axiom,
name_B != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax112) ).
thf(477,plain,
name_B != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(478,plain,
name_B != name_C,
inference(polarity_switch,[status(thm)],[477]) ).
thf(479,plain,
name_B != name_C,
inference(lifteq,[status(thm)],[478]) ).
thf(205,axiom,
name_D @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax261) ).
thf(861,plain,
name_D @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(810,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker )
| ~ ( B @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(cnf,[status(esa)],[809]) ).
thf(1310,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true
| ~ ( B @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(paramod_ordered,[status(thm)],[810,278]) ).
thf(1311,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ ( B @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(simp,[status(thm)],[1310]) ).
thf(1351,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ ( B @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(simp,[status(thm)],[1311]) ).
thf(1379,plain,
! [B: $i,A: $i] :
( ( ( name_D @ pred_attacker )
!= ( B @ pred_attacker ) )
| ( ( B @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true
| ~ ( A @ pred_attacker ) ),
inference(paramod_ordered,[status(thm)],[861,1351]) ).
thf(1380,plain,
! [B: $i,A: $i] :
( ( ( name_D @ pred_attacker )
!= ( B @ pred_attacker ) )
| ( ( B @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ ( A @ pred_attacker ) ),
inference(simp,[status(thm)],[1379]) ).
thf(1381,plain,
! [A: $i] :
( ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ ( A @ pred_attacker ) ),
inference(pattern_uni,[status(thm)],[1380:[bind(A,$thf( A )),bind(B,$thf( name_D ))]]) ).
thf(1557,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[943,1381]) ).
thf(1558,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1557]) ).
thf(1559,plain,
( ( name_D @ ( constr_CONST_4 @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1558:[bind(A,$thf( constr_CONST_4 ))]]) ).
thf(21,axiom,
constr_CONST_2 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(333,plain,
constr_CONST_2 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(1029,plain,
( ( ( name_D @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[861,278]) ).
thf(1030,plain,
( ( name_D @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1029]) ).
thf(1031,plain,
name_D != name_Sa,
inference(simp,[status(thm)],[1030]) ).
thf(251,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_A_in_1 @ pred_attacker )
& ( B @ tuple_client_A_in_2 @ pred_attacker )
& ( A @ ( B @ tuple_client_A_in_4 ) @ pred_attacker ) )
=> ( name_Na @ constr_neg @ ( name_skA @ ( A @ constr_adec ) @ constr_add ) @ tuple_client_A_out_5 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax272) ).
thf(962,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_A_in_1 @ pred_attacker )
& ( B @ tuple_client_A_in_2 @ pred_attacker )
& ( A @ ( B @ tuple_client_A_in_4 ) @ pred_attacker ) )
=> ( name_Na @ constr_neg @ ( name_skA @ ( A @ constr_adec ) @ constr_add ) @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(66,axiom,
name_A != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax110) ).
thf(468,plain,
name_A != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(169,axiom,
name_skA != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax186) ).
thf(777,plain,
name_skA != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(95,axiom,
constr_ZERO != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
thf(555,plain,
constr_ZERO != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(132,axiom,
name_Na != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax148) ).
thf(666,plain,
name_Na != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(206,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax225) ).
thf(862,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(863,plain,
! [A: $i] :
( ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(cnf,[status(esa)],[862]) ).
thf(7560,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[848,863]) ).
thf(7561,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7560]) ).
thf(7562,plain,
name_c @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7561:[bind(A,$thf( name_c ))]]) ).
thf(9067,plain,
( ( ( name_c @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7562,278]) ).
thf(9068,plain,
( ( name_c @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[9067]) ).
thf(9091,plain,
( ( name_c @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[9068]) ).
thf(1757,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[895,817]) ).
thf(1758,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1757]) ).
thf(1759,plain,
constr_CONST_1 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1758:[bind(A,$thf( constr_CONST_1 ))]]) ).
thf(2097,plain,
( ( ( constr_CONST_1 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1759,278]) ).
thf(2098,plain,
( ( constr_CONST_1 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2097]) ).
thf(2104,plain,
( ( constr_CONST_1 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[2098]) ).
thf(137,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(681,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(682,plain,
constr_CONST_1 != constr_CONST_4,
inference(polarity_switch,[status(thm)],[681]) ).
thf(683,plain,
constr_CONST_1 != constr_CONST_4,
inference(lifteq,[status(thm)],[682]) ).
thf(5725,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[848,853]) ).
thf(5726,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5725]) ).
thf(5727,plain,
name_c @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5726:[bind(A,$thf( name_c ))]]) ).
thf(6438,plain,
( ( ( name_c @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5727,278]) ).
thf(6439,plain,
( ( name_c @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[6438]) ).
thf(6463,plain,
( ( name_c @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[6439]) ).
thf(185,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax215) ).
thf(820,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(821,plain,
! [A: $i] :
( ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(cnf,[status(esa)],[820]) ).
thf(2282,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1765,821]) ).
thf(2283,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2282]) ).
thf(2284,plain,
constr_CONST_4 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2283:[bind(A,$thf( constr_CONST_4 @ tuple_client_A_out_5 ))]]) ).
thf(5274,plain,
( ( ( constr_CONST_4 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2284,278]) ).
thf(5275,plain,
( ( constr_CONST_4 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[5274]) ).
thf(5297,plain,
( ( constr_CONST_4 @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[5275]) ).
thf(12,axiom,
constr_CONST_1 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(306,plain,
constr_CONST_1 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(307,plain,
constr_CONST_1 != name_skD,
inference(polarity_switch,[status(thm)],[306]) ).
thf(308,plain,
constr_CONST_1 != name_skD,
inference(lifteq,[status(thm)],[307]) ).
thf(157,axiom,
name_D != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax139) ).
thf(741,plain,
name_D != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(5734,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[943,853]) ).
thf(5735,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5734]) ).
thf(5736,plain,
constr_CONST_4 @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5735:[bind(A,$thf( constr_CONST_4 ))]]) ).
thf(6576,plain,
( ( ( constr_CONST_4 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5736,278]) ).
thf(6577,plain,
( ( constr_CONST_4 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[6576]) ).
thf(6602,plain,
( ( constr_CONST_4 @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[6577]) ).
thf(109,axiom,
name_Sd != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax176) ).
thf(597,plain,
name_Sd != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(229,axiom,
tuple_true @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax195) ).
thf(913,plain,
tuple_true @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(1710,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[913,817]) ).
thf(1711,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1710]) ).
thf(1712,plain,
tuple_true @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1711:[bind(A,$thf( tuple_true ))]]) ).
thf(1834,plain,
! [A: $i] :
( ( ( tuple_true @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1712,817]) ).
thf(1835,plain,
! [A: $i] :
( ( ( tuple_true @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1834]) ).
thf(1836,plain,
tuple_true @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1835:[bind(A,$thf( tuple_true @ tuple_client_A_out_5 ))]]) ).
thf(3667,plain,
( ( ( tuple_true @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1836,278]) ).
thf(3668,plain,
( ( tuple_true @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3667]) ).
thf(3680,plain,
( ( tuple_true @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[3668]) ).
thf(2075,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1759,817]) ).
thf(2076,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[2075]) ).
thf(2077,plain,
constr_CONST_1 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2076:[bind(A,$thf( constr_CONST_1 @ tuple_client_A_out_5 ))]]) ).
thf(196,axiom,
name_C @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax262) ).
thf(843,plain,
name_C @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(1748,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[843,817]) ).
thf(1749,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1748]) ).
thf(1750,plain,
name_C @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1749:[bind(A,$thf( name_C ))]]) ).
thf(46,axiom,
name_D != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax143) ).
thf(408,plain,
name_D != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(104,axiom,
constr_CONST_2 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(582,plain,
constr_CONST_2 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(164,axiom,
constr_ZERO != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
thf(762,plain,
constr_ZERO != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(1918,plain,
( ( ( name_C @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1750,278]) ).
thf(1919,plain,
( ( name_C @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1918]) ).
thf(1924,plain,
( ( name_C @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[1919]) ).
thf(271,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax242) ).
thf(1005,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(226,axiom,
constr_CONST_2 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax255) ).
thf(907,plain,
constr_CONST_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(1773,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[907,817]) ).
thf(1774,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1773]) ).
thf(1775,plain,
constr_CONST_2 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1774:[bind(A,$thf( constr_CONST_2 ))]]) ).
thf(2202,plain,
( ( ( constr_CONST_2 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1775,278]) ).
thf(2203,plain,
( ( constr_CONST_2 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2202]) ).
thf(2210,plain,
( ( constr_CONST_2 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[2203]) ).
thf(210,axiom,
name_Sa != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax161) ).
thf(873,plain,
name_Sa != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(59,axiom,
name_C != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax127) ).
thf(447,plain,
name_C != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(448,plain,
name_C != name_Sb,
inference(polarity_switch,[status(thm)],[447]) ).
thf(449,plain,
name_Sb != name_C,
inference(lifteq,[status(thm)],[448]) ).
thf(212,axiom,
name_skB @ constr_pkey @ tuple_out_2 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax268) ).
thf(878,plain,
name_skB @ constr_pkey @ tuple_out_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(56,axiom,
name_Sb != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax167) ).
thf(438,plain,
name_Sb != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(439,plain,
name_Sb != name_skC,
inference(polarity_switch,[status(thm)],[438]) ).
thf(440,plain,
name_skC != name_Sb,
inference(lifteq,[status(thm)],[439]) ).
thf(114,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
thf(612,plain,
constr_ZERO != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(613,plain,
constr_ZERO != name_c,
inference(polarity_switch,[status(thm)],[612]) ).
thf(614,plain,
constr_ZERO != name_c,
inference(lifteq,[status(thm)],[613]) ).
thf(135,axiom,
name_D != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax141) ).
thf(675,plain,
name_D != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(676,plain,
name_D != name_skA,
inference(polarity_switch,[status(thm)],[675]) ).
thf(677,plain,
name_skA != name_D,
inference(lifteq,[status(thm)],[676]) ).
thf(253,axiom,
constr_CONST_0x30 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax257) ).
thf(968,plain,
constr_CONST_0x30 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(5747,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[968,853]) ).
thf(5748,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5747]) ).
thf(5749,plain,
constr_CONST_0x30 @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5748:[bind(A,$thf( constr_CONST_0x30 ))]]) ).
thf(6645,plain,
( ( ( constr_CONST_0x30 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5749,278]) ).
thf(6646,plain,
( ( constr_CONST_0x30 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[6645]) ).
thf(6665,plain,
( ( constr_CONST_0x30 @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[6646]) ).
thf(76,axiom,
constr_CONST_0x30 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(498,plain,
constr_CONST_0x30 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(499,plain,
constr_CONST_0x30 != name_Sb,
inference(polarity_switch,[status(thm)],[498]) ).
thf(500,plain,
name_Sb != constr_CONST_0x30,
inference(lifteq,[status(thm)],[499]) ).
thf(175,axiom,
constr_CONST_2 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(795,plain,
constr_CONST_2 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(796,plain,
constr_CONST_2 != name_skC,
inference(polarity_switch,[status(thm)],[795]) ).
thf(797,plain,
constr_CONST_2 != name_skC,
inference(lifteq,[status(thm)],[796]) ).
thf(182,axiom,
! [A: $i] :
( ( A @ tuple_client_A_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax246) ).
thf(814,plain,
! [A: $i] :
( ( A @ tuple_client_A_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(142,axiom,
constr_CONST_2 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(696,plain,
constr_CONST_2 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(697,plain,
constr_CONST_2 != name_Sd,
inference(polarity_switch,[status(thm)],[696]) ).
thf(698,plain,
constr_CONST_2 != name_Sd,
inference(lifteq,[status(thm)],[697]) ).
thf(2040,plain,
! [A: $i] :
( ( ( name_c @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1756,817]) ).
thf(2041,plain,
! [A: $i] :
( ( ( name_c @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[2040]) ).
thf(2042,plain,
name_c @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2041:[bind(A,$thf( name_c @ tuple_client_A_out_5 ))]]) ).
thf(2268,plain,
! [A: $i] :
( ( ( tuple_true @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1712,821]) ).
thf(2269,plain,
! [A: $i] :
( ( ( tuple_true @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2268]) ).
thf(2270,plain,
tuple_true @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2269:[bind(A,$thf( tuple_true @ tuple_client_A_out_5 ))]]) ).
thf(4957,plain,
( ( ( tuple_true @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2270,278]) ).
thf(4958,plain,
( ( tuple_true @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4957]) ).
thf(4980,plain,
( ( tuple_true @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[4958]) ).
thf(237,axiom,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax266) ).
thf(929,plain,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(930,plain,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
inference(cnf,[status(esa)],[929]) ).
thf(38,axiom,
name_Na != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax149) ).
thf(384,plain,
name_Na != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(2302,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1775,821]) ).
thf(2303,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2302]) ).
thf(2304,plain,
constr_CONST_2 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2303:[bind(A,$thf( constr_CONST_2 @ tuple_client_A_out_5 ))]]) ).
thf(5337,plain,
( ( ( constr_CONST_2 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2304,278]) ).
thf(5338,plain,
( ( constr_CONST_2 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[5337]) ).
thf(5361,plain,
( ( constr_CONST_2 @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[5338]) ).
thf(87,axiom,
name_Sb != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax162) ).
thf(531,plain,
name_Sb != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(532,plain,
name_Sb != name_Sc,
inference(polarity_switch,[status(thm)],[531]) ).
thf(533,plain,
name_Sb != name_Sc,
inference(lifteq,[status(thm)],[532]) ).
thf(159,axiom,
! [A: $i] :
( ( A @ constr_neg @ ( A @ constr_add ) )
= constr_ZERO ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax191) ).
thf(747,plain,
! [A: $i] :
( ( A @ constr_neg @ ( A @ constr_add ) )
= constr_ZERO ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(7645,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[928,863]) ).
thf(7646,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7645]) ).
thf(7647,plain,
name_A @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7646:[bind(A,$thf( name_A ))]]) ).
thf(10684,plain,
( ( ( name_A @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7647,278]) ).
thf(10685,plain,
( ( name_A @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[10684]) ).
thf(10726,plain,
( ( name_A @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[10685]) ).
thf(222,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_aenc ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax249) ).
thf(898,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_aenc ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(269,axiom,
name_Na != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax145) ).
thf(999,plain,
name_Na != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(1000,plain,
name_Na != name_Sa,
inference(polarity_switch,[status(thm)],[999]) ).
thf(1001,plain,
name_Na != name_Sa,
inference(lifteq,[status(thm)],[1000]) ).
thf(170,axiom,
name_B != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).
thf(780,plain,
name_B != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(781,plain,
name_B != name_Sd,
inference(polarity_switch,[status(thm)],[780]) ).
thf(782,plain,
name_B != name_Sd,
inference(lifteq,[status(thm)],[781]) ).
thf(49,axiom,
constr_CONST_0x30 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(417,plain,
constr_CONST_0x30 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(6,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(288,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1704,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[861,817]) ).
thf(1705,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1704]) ).
thf(1706,plain,
name_D @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1705:[bind(A,$thf( name_D ))]]) ).
thf(2327,plain,
! [A: $i] :
( ( ( name_D @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1706,821]) ).
thf(2328,plain,
! [A: $i] :
( ( ( name_D @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2327]) ).
thf(2329,plain,
name_D @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2328:[bind(A,$thf( name_D @ tuple_client_A_out_5 ))]]) ).
thf(7316,plain,
( ( ( name_D @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2329,278]) ).
thf(7317,plain,
( ( name_D @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[7316]) ).
thf(7343,plain,
( ( name_D @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[7317]) ).
thf(16,axiom,
name_A != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax100) ).
thf(318,plain,
name_A != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(319,plain,
name_A != name_C,
inference(polarity_switch,[status(thm)],[318]) ).
thf(320,plain,
name_A != name_C,
inference(lifteq,[status(thm)],[319]) ).
thf(127,axiom,
! [A: $i] :
( ( constr_ZERO @ ( A @ constr_add ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax192) ).
thf(651,plain,
! [A: $i] :
( ( constr_ZERO @ ( A @ constr_add ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(190,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax243) ).
thf(829,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(44,axiom,
constr_ZERO != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).
thf(402,plain,
constr_ZERO != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(403,plain,
constr_ZERO != name_skC,
inference(polarity_switch,[status(thm)],[402]) ).
thf(404,plain,
name_skC != constr_ZERO,
inference(lifteq,[status(thm)],[403]) ).
thf(216,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_pkey @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax196) ).
thf(885,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_pkey @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(1044,plain,
( ( ( name_A @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[928,278]) ).
thf(1045,plain,
( ( name_A @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1044]) ).
thf(1046,plain,
name_A != name_Sa,
inference(simp,[status(thm)],[1045]) ).
thf(39,axiom,
constr_CONST_1 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(387,plain,
constr_CONST_1 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(388,plain,
constr_CONST_1 != name_D,
inference(polarity_switch,[status(thm)],[387]) ).
thf(389,plain,
name_D != constr_CONST_1,
inference(lifteq,[status(thm)],[388]) ).
thf(1053,plain,
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[968,278]) ).
thf(1054,plain,
( ( constr_CONST_0x30 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1053]) ).
thf(1055,plain,
constr_CONST_0x30 != name_Sa,
inference(simp,[status(thm)],[1054]) ).
thf(100,axiom,
name_B != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
thf(570,plain,
name_B != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(189,axiom,
constr_CONST_3 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax254) ).
thf(828,plain,
constr_CONST_3 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(7642,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[828,863]) ).
thf(7643,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7642]) ).
thf(7644,plain,
constr_CONST_3 @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7643:[bind(A,$thf( constr_CONST_3 ))]]) ).
thf(10591,plain,
( ( ( constr_CONST_3 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7644,278]) ).
thf(10592,plain,
( ( constr_CONST_3 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[10591]) ).
thf(10630,plain,
( ( constr_CONST_3 @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[10592]) ).
thf(149,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ constr_add ) )
= ( A @ ( B @ constr_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax193) ).
thf(717,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ constr_add ) )
= ( A @ ( B @ constr_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(718,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ constr_add ) )
= ( A @ ( B @ constr_add ) ) ),
inference(cnf,[status(esa)],[717]) ).
thf(719,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ constr_add ) )
= ( A @ ( B @ constr_add ) ) ),
inference(lifteq,[status(thm)],[718]) ).
thf(171,axiom,
constr_CONST_0x30 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(783,plain,
constr_CONST_0x30 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(784,plain,
constr_CONST_0x30 != name_Na,
inference(polarity_switch,[status(thm)],[783]) ).
thf(785,plain,
name_Na != constr_CONST_0x30,
inference(lifteq,[status(thm)],[784]) ).
thf(34,axiom,
constr_CONST_2 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(372,plain,
constr_CONST_2 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(78,axiom,
constr_CONST_0x30 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(504,plain,
constr_CONST_0x30 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(2218,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[861,821]) ).
thf(2219,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2218]) ).
thf(2220,plain,
name_D @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2219:[bind(A,$thf( name_D ))]]) ).
thf(2493,plain,
( ( ( name_D @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2220,278]) ).
thf(2494,plain,
( ( name_D @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2493]) ).
thf(2501,plain,
( ( name_D @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[2494]) ).
thf(2215,plain,
! [A: $i] :
( ( ( name_C @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1750,821]) ).
thf(2216,plain,
! [A: $i] :
( ( ( name_C @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2215]) ).
thf(2217,plain,
name_C @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2216:[bind(A,$thf( name_C @ tuple_client_A_out_5 ))]]) ).
thf(144,axiom,
name_Na != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax151) ).
thf(702,plain,
name_Na != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(24,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(342,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(343,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(polarity_switch,[status(thm)],[342]) ).
thf(344,plain,
constr_CONST_2 != constr_CONST_0x30,
inference(lifteq,[status(thm)],[343]) ).
thf(90,axiom,
constr_CONST_3 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(540,plain,
constr_CONST_3 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(541,plain,
constr_CONST_3 != name_skD,
inference(polarity_switch,[status(thm)],[540]) ).
thf(542,plain,
name_skD != constr_CONST_3,
inference(lifteq,[status(thm)],[541]) ).
thf(105,axiom,
constr_CONST_1 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(585,plain,
constr_CONST_1 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(586,plain,
constr_CONST_1 != name_C,
inference(polarity_switch,[status(thm)],[585]) ).
thf(587,plain,
constr_CONST_1 != name_C,
inference(lifteq,[status(thm)],[586]) ).
thf(194,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_D_in_3 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax210) ).
thf(838,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_D_in_3 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(239,axiom,
name_D != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
thf(934,plain,
name_D != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(29,axiom,
name_skB != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax188) ).
thf(357,plain,
name_skB != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(245,axiom,
! [A: $i] :
( ( A @ tuple_out_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax198) ).
thf(949,plain,
! [A: $i] :
( ( A @ tuple_out_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(250,axiom,
constr_ZERO @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax252) ).
thf(961,plain,
constr_ZERO @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(1776,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[961,817]) ).
thf(1777,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1776]) ).
thf(1778,plain,
constr_ZERO @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1777:[bind(A,$thf( constr_ZERO ))]]) ).
thf(2354,plain,
! [A: $i] :
( ( ( constr_ZERO @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1778,817]) ).
thf(2355,plain,
! [A: $i] :
( ( ( constr_ZERO @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[2354]) ).
thf(2356,plain,
constr_ZERO @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2355:[bind(A,$thf( constr_ZERO @ tuple_client_A_out_5 ))]]) ).
thf(193,axiom,
name_skA @ constr_pkey @ tuple_out_1 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax267) ).
thf(837,plain,
name_skA @ constr_pkey @ tuple_out_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(202,axiom,
! [A: $i] :
( ( A @ tuple_out_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax204) ).
thf(854,plain,
! [A: $i] :
( ( A @ tuple_out_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(855,plain,
! [A: $i] :
( ( A @ pred_attacker )
| ~ ( A @ tuple_out_1 @ pred_attacker ) ),
inference(cnf,[status(esa)],[854]) ).
thf(6238,plain,
! [A: $i] :
( ( ( name_skA @ constr_pkey @ tuple_out_1 @ pred_attacker )
!= ( A @ tuple_out_1 @ pred_attacker ) )
| ( A @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[837,855]) ).
thf(6239,plain,
! [A: $i] :
( ( ( name_skA @ constr_pkey @ tuple_out_1 @ pred_attacker )
!= ( A @ tuple_out_1 @ pred_attacker ) )
| ( A @ pred_attacker ) ),
inference(simp,[status(thm)],[6238]) ).
thf(6240,plain,
name_skA @ constr_pkey @ pred_attacker,
inference(pattern_uni,[status(thm)],[6239:[bind(A,$thf( name_skA @ constr_pkey ))]]) ).
thf(2230,plain,
! [A: $i] :
( ( ( name_c @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1756,821]) ).
thf(2231,plain,
! [A: $i] :
( ( ( name_c @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2230]) ).
thf(2232,plain,
name_c @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2231:[bind(A,$thf( name_c @ tuple_client_A_out_5 ))]]) ).
thf(4837,plain,
( ( ( name_c @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2232,278]) ).
thf(4838,plain,
( ( name_c @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4837]) ).
thf(4862,plain,
( ( name_c @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[4838]) ).
thf(209,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_C_in_1 @ pred_attacker )
& ( B @ tuple_client_C_in_2 @ pred_attacker )
& ( A @ ( C @ tuple_client_C_in_3 ) @ pred_attacker ) )
=> ( B @ ( name_Sc @ ( name_skC @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_C @ tuple_client_C_out_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax274) ).
thf(870,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_C_in_1 @ pred_attacker )
& ( B @ tuple_client_C_in_2 @ pred_attacker )
& ( A @ ( C @ tuple_client_C_in_3 ) @ pred_attacker ) )
=> ( B @ ( name_Sc @ ( name_skC @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_C @ tuple_client_C_out_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(48,axiom,
constr_CONST_2 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(414,plain,
constr_CONST_2 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(415,plain,
constr_CONST_2 != name_Na,
inference(polarity_switch,[status(thm)],[414]) ).
thf(416,plain,
constr_CONST_2 != name_Na,
inference(lifteq,[status(thm)],[415]) ).
thf(1566,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[961,1381]) ).
thf(1567,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1566]) ).
thf(1568,plain,
( ( name_D @ ( constr_ZERO @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1567:[bind(A,$thf( constr_ZERO ))]]) ).
thf(122,axiom,
constr_CONST_1 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(636,plain,
constr_CONST_1 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(637,plain,
constr_CONST_1 != name_Sb,
inference(polarity_switch,[status(thm)],[636]) ).
thf(638,plain,
constr_CONST_1 != name_Sb,
inference(lifteq,[status(thm)],[637]) ).
thf(112,axiom,
constr_CONST_1 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(606,plain,
constr_CONST_1 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(275,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_A_out_3 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax239) ).
thf(1013,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_A_out_3 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(4,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(282,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(283,plain,
constr_CONST_0x30 != name_c,
inference(polarity_switch,[status(thm)],[282]) ).
thf(284,plain,
name_c != constr_CONST_0x30,
inference(lifteq,[status(thm)],[283]) ).
thf(166,axiom,
constr_CONST_0x30 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(768,plain,
constr_CONST_0x30 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(769,plain,
constr_CONST_0x30 != name_skA,
inference(polarity_switch,[status(thm)],[768]) ).
thf(770,plain,
name_skA != constr_CONST_0x30,
inference(lifteq,[status(thm)],[769]) ).
thf(5690,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[843,853]) ).
thf(5691,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5690]) ).
thf(5692,plain,
name_C @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5691:[bind(A,$thf( name_C ))]]) ).
thf(6078,plain,
( ( ( name_C @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5692,278]) ).
thf(6079,plain,
( ( name_C @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[6078]) ).
thf(6098,plain,
( ( name_C @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[6079]) ).
thf(162,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(756,plain,
constr_CONST_0x30 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(173,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(789,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(107,axiom,
name_B != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
thf(591,plain,
name_B != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(57,axiom,
name_A != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax107) ).
thf(441,plain,
name_A != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(442,plain,
name_A != name_c,
inference(polarity_switch,[status(thm)],[441]) ).
thf(443,plain,
name_A != name_c,
inference(lifteq,[status(thm)],[442]) ).
thf(7367,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[913,863]) ).
thf(7368,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7367]) ).
thf(7369,plain,
tuple_true @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7368:[bind(A,$thf( tuple_true ))]]) ).
thf(117,axiom,
name_Na != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax150) ).
thf(621,plain,
name_Na != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(622,plain,
name_Na != name_skA,
inference(polarity_switch,[status(thm)],[621]) ).
thf(623,plain,
name_skA != name_Na,
inference(lifteq,[status(thm)],[622]) ).
thf(179,axiom,
! [A: $i] :
( ( A @ tuple_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax202) ).
thf(807,plain,
! [A: $i] :
( ( A @ tuple_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(808,plain,
! [A: $i] :
( ( A @ pred_attacker )
| ~ ( A @ tuple_out_2 @ pred_attacker ) ),
inference(cnf,[status(esa)],[807]) ).
thf(1168,plain,
! [A: $i] :
( ( ( name_skB @ constr_pkey @ tuple_out_2 @ pred_attacker )
!= ( A @ tuple_out_2 @ pred_attacker ) )
| ( A @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[878,808]) ).
thf(1169,plain,
! [A: $i] :
( ( ( name_skB @ constr_pkey @ tuple_out_2 @ pred_attacker )
!= ( A @ tuple_out_2 @ pred_attacker ) )
| ( A @ pred_attacker ) ),
inference(simp,[status(thm)],[1168]) ).
thf(1170,plain,
name_skB @ constr_pkey @ pred_attacker,
inference(pattern_uni,[status(thm)],[1169:[bind(A,$thf( name_skB @ constr_pkey ))]]) ).
thf(1742,plain,
! [A: $i] :
( ( ( name_skB @ constr_pkey @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1170,817]) ).
thf(1743,plain,
! [A: $i] :
( ( ( name_skB @ constr_pkey @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1742]) ).
thf(1744,plain,
name_skB @ constr_pkey @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1743:[bind(A,$thf( name_skB @ constr_pkey ))]]) ).
thf(3423,plain,
( ( ( name_skB @ constr_pkey @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1744,278]) ).
thf(3424,plain,
( ( name_skB @ constr_pkey @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3423]) ).
thf(3438,plain,
( ( name_skB @ constr_pkey @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[3424]) ).
thf(240,axiom,
constr_ZERO != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
thf(937,plain,
constr_ZERO != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ constr_add ) @ ( A @ constr_add ) )
= ( C @ ( B @ ( A @ constr_add ) @ constr_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax194) ).
thf(348,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ constr_add ) @ ( A @ constr_add ) )
= ( C @ ( B @ ( A @ constr_add ) @ constr_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(178,axiom,
name_B != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
thf(804,plain,
name_B != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(805,plain,
name_B != name_skB,
inference(polarity_switch,[status(thm)],[804]) ).
thf(806,plain,
name_B != name_skB,
inference(lifteq,[status(thm)],[805]) ).
thf(74,axiom,
name_Sb != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax166) ).
thf(492,plain,
name_Sb != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(7244,plain,
( ( ( name_skA @ constr_pkey @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6240,278]) ).
thf(7245,plain,
( ( name_skA @ constr_pkey @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[7244]) ).
thf(7268,plain,
( ( name_skA @ constr_pkey )
!= name_Sa ),
inference(simp,[status(thm)],[7245]) ).
thf(1038,plain,
( ( ( constr_CONST_2 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[907,278]) ).
thf(1039,plain,
( ( constr_CONST_2 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1038]) ).
thf(1040,plain,
constr_CONST_2 != name_Sa,
inference(simp,[status(thm)],[1039]) ).
thf(17,axiom,
name_Sc != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).
thf(321,plain,
name_Sc != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(71,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(483,plain,
constr_CONST_0x30 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(484,plain,
constr_CONST_0x30 != name_A,
inference(polarity_switch,[status(thm)],[483]) ).
thf(485,plain,
name_A != constr_CONST_0x30,
inference(lifteq,[status(thm)],[484]) ).
thf(192,axiom,
constr_CONST_0x30 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(834,plain,
constr_CONST_0x30 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(27,axiom,
constr_CONST_2 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(351,plain,
constr_CONST_2 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(352,plain,
constr_CONST_2 != name_skD,
inference(polarity_switch,[status(thm)],[351]) ).
thf(353,plain,
constr_CONST_2 != name_skD,
inference(lifteq,[status(thm)],[352]) ).
thf(2333,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[928,821]) ).
thf(2334,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2333]) ).
thf(2335,plain,
name_A @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2334:[bind(A,$thf( name_A ))]]) ).
thf(225,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax203) ).
thf(905,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(70,axiom,
constr_CONST_4 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
thf(480,plain,
constr_CONST_4 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(139,axiom,
constr_CONST_0x30 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(687,plain,
constr_CONST_0x30 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(2305,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[968,821]) ).
thf(2306,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2305]) ).
thf(2307,plain,
constr_CONST_0x30 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2306:[bind(A,$thf( constr_CONST_0x30 ))]]) ).
thf(3057,plain,
( ( ( constr_CONST_0x30 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2307,278]) ).
thf(3058,plain,
( ( constr_CONST_0x30 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3057]) ).
thf(3068,plain,
( ( constr_CONST_0x30 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[3058]) ).
thf(2279,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[843,821]) ).
thf(2280,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2279]) ).
thf(2281,plain,
name_C @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2280:[bind(A,$thf( name_C ))]]) ).
thf(154,axiom,
name_skA != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax184) ).
thf(732,plain,
name_skA != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(733,plain,
name_skA != name_skB,
inference(polarity_switch,[status(thm)],[732]) ).
thf(734,plain,
name_skA != name_skB,
inference(lifteq,[status(thm)],[733]) ).
thf(61,axiom,
name_B != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).
thf(453,plain,
name_B != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(168,axiom,
constr_CONST_0x30 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(774,plain,
constr_CONST_0x30 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(130,axiom,
constr_ZERO != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
thf(660,plain,
constr_ZERO != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(52,axiom,
name_C != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax129) ).
thf(426,plain,
name_C != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(427,plain,
name_C != name_Sd,
inference(polarity_switch,[status(thm)],[426]) ).
thf(428,plain,
name_Sd != name_C,
inference(lifteq,[status(thm)],[427]) ).
thf(200,axiom,
name_Sa != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax159) ).
thf(849,plain,
name_Sa != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(79,axiom,
constr_CONST_1 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(507,plain,
constr_CONST_1 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(110,axiom,
name_c != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax181) ).
thf(600,plain,
name_c != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(601,plain,
name_c != name_skB,
inference(polarity_switch,[status(thm)],[600]) ).
thf(602,plain,
name_skB != name_c,
inference(lifteq,[status(thm)],[601]) ).
thf(5570,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[913,853]) ).
thf(5571,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5570]) ).
thf(5572,plain,
tuple_true @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5571:[bind(A,$thf( tuple_true ))]]) ).
thf(260,axiom,
name_Sa != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax156) ).
thf(981,plain,
name_Sa != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(211,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_D_out_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax207) ).
thf(876,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_D_out_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(877,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ tuple_client_D_out_4 ) @ pred_attacker )
| ~ ( B @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(cnf,[status(esa)],[876]) ).
thf(140,axiom,
name_A != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax108) ).
thf(690,plain,
name_A != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(691,plain,
name_A != name_skA,
inference(polarity_switch,[status(thm)],[690]) ).
thf(692,plain,
name_skA != name_A,
inference(lifteq,[status(thm)],[691]) ).
thf(7,axiom,
constr_ZERO != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax98) ).
thf(291,plain,
constr_ZERO != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(292,plain,
constr_ZERO != name_skD,
inference(polarity_switch,[status(thm)],[291]) ).
thf(293,plain,
name_skD != constr_ZERO,
inference(lifteq,[status(thm)],[292]) ).
thf(248,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax230) ).
thf(956,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(42,axiom,
name_c != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax183) ).
thf(396,plain,
name_c != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(1524,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[913,1381]) ).
thf(1525,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1524]) ).
thf(1526,plain,
( ( name_D @ ( tuple_true @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1525:[bind(A,$thf( tuple_true ))]]) ).
thf(47,axiom,
constr_CONST_2 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(411,plain,
constr_CONST_2 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(263,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_B_out_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax227) ).
thf(988,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_B_out_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(85,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(525,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(526,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(polarity_switch,[status(thm)],[525]) ).
thf(527,plain,
constr_CONST_3 != constr_CONST_0x30,
inference(lifteq,[status(thm)],[526]) ).
thf(14,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(312,plain,
constr_CONST_1 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(60,axiom,
name_C != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
thf(450,plain,
name_C != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(451,plain,
name_C != name_skD,
inference(polarity_switch,[status(thm)],[450]) ).
thf(452,plain,
name_skD != name_C,
inference(lifteq,[status(thm)],[451]) ).
thf(233,axiom,
! [A: $i] :
( ( A @ tuple_client_D_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax216) ).
thf(920,plain,
! [A: $i] :
( ( A @ tuple_client_D_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(36,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(378,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(379,plain,
constr_CONST_1 != name_c,
inference(polarity_switch,[status(thm)],[378]) ).
thf(380,plain,
constr_CONST_1 != name_c,
inference(lifteq,[status(thm)],[379]) ).
thf(136,axiom,
constr_CONST_3 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(678,plain,
constr_CONST_3 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(7391,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[969,863]) ).
thf(7392,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7391]) ).
thf(7393,plain,
name_B @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7392:[bind(A,$thf( name_B ))]]) ).
thf(92,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
thf(546,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(235,axiom,
constr_CONST_4 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
thf(925,plain,
constr_CONST_4 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(37,axiom,
constr_CONST_2 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(381,plain,
constr_CONST_2 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(1065,plain,
( ( ( name_skA @ constr_pkey @ tuple_out_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[837,278]) ).
thf(1066,plain,
( ( name_skA @ constr_pkey @ tuple_out_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1065]) ).
thf(1067,plain,
( ( name_skA @ constr_pkey @ tuple_out_1 )
!= name_Sa ),
inference(simp,[status(thm)],[1066]) ).
thf(176,axiom,
constr_CONST_0x30 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(798,plain,
constr_CONST_0x30 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(80,axiom,
constr_CONST_1 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(510,plain,
constr_CONST_1 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(511,plain,
constr_CONST_1 != name_Sd,
inference(polarity_switch,[status(thm)],[510]) ).
thf(512,plain,
constr_CONST_1 != name_Sd,
inference(lifteq,[status(thm)],[511]) ).
thf(241,axiom,
name_Sa != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax160) ).
thf(940,plain,
name_Sa != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(941,plain,
name_Sa != name_skC,
inference(polarity_switch,[status(thm)],[940]) ).
thf(942,plain,
name_skC != name_Sa,
inference(lifteq,[status(thm)],[941]) ).
thf(652,plain,
! [A: $i] :
( ( constr_ZERO @ ( A @ constr_add ) )
= A ),
inference(cnf,[status(esa)],[651]) ).
thf(653,plain,
! [A: $i] :
( ( constr_ZERO @ ( A @ constr_add ) )
= A ),
inference(lifteq,[status(thm)],[652]) ).
thf(1113,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ constr_add ) )
!= ( constr_ZERO @ ( C @ constr_add ) ) )
| ( ( A @ ( B @ constr_add ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[719,653]) ).
thf(1114,plain,
! [A: $i] :
( ( A @ ( constr_ZERO @ constr_add ) )
= A ),
inference(pattern_uni,[status(thm)],[1113:[bind(A,$thf( A )),bind(B,$thf( constr_ZERO )),bind(C,$thf( A ))]]) ).
thf(748,plain,
! [A: $i] :
( ( A @ constr_neg @ ( A @ constr_add ) )
= constr_ZERO ),
inference(cnf,[status(esa)],[747]) ).
thf(749,plain,
! [A: $i] :
( ( A @ constr_neg @ ( A @ constr_add ) )
= constr_ZERO ),
inference(lifteq,[status(thm)],[748]) ).
thf(1152,plain,
! [B: $i,A: $i] :
( ( ( A @ ( constr_ZERO @ constr_add ) )
!= ( B @ constr_neg @ ( B @ constr_add ) ) )
| ( A = constr_ZERO ) ),
inference(paramod_ordered,[status(thm)],[1114,749]) ).
thf(1153,plain,
( ( constr_ZERO @ constr_neg )
= constr_ZERO ),
inference(pattern_uni,[status(thm)],[1152:[bind(A,$thf( constr_ZERO @ constr_neg )),bind(B,$thf( constr_ZERO ))]]) ).
thf(163,axiom,
constr_CONST_3 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(759,plain,
constr_CONST_3 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(760,plain,
constr_CONST_3 != name_skB,
inference(polarity_switch,[status(thm)],[759]) ).
thf(761,plain,
name_skB != constr_CONST_3,
inference(lifteq,[status(thm)],[760]) ).
thf(5946,plain,
( ( ( tuple_true @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5572,278]) ).
thf(5947,plain,
( ( tuple_true @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[5946]) ).
thf(5968,plain,
( ( tuple_true @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[5947]) ).
thf(1781,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[828,817]) ).
thf(1782,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1781]) ).
thf(1783,plain,
constr_CONST_3 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1782:[bind(A,$thf( constr_CONST_3 ))]]) ).
thf(32,axiom,
name_D != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax144) ).
thf(366,plain,
name_D != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(88,axiom,
name_skA != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax185) ).
thf(534,plain,
name_skA != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(148,axiom,
name_B != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).
thf(714,plain,
name_B != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(1719,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[969,817]) ).
thf(1720,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1719]) ).
thf(1721,plain,
name_B @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1720:[bind(A,$thf( name_B ))]]) ).
thf(1866,plain,
! [A: $i] :
( ( ( name_B @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1721,817]) ).
thf(1867,plain,
! [A: $i] :
( ( ( name_B @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1866]) ).
thf(1868,plain,
name_B @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1867:[bind(A,$thf( name_B @ tuple_client_A_out_5 ))]]) ).
thf(1898,plain,
! [A: $i] :
( ( ( name_C @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1750,817]) ).
thf(1899,plain,
! [A: $i] :
( ( ( name_C @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1898]) ).
thf(1900,plain,
name_C @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1899:[bind(A,$thf( name_C @ tuple_client_A_out_5 ))]]) ).
thf(158,axiom,
name_C != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).
thf(744,plain,
name_C != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(745,plain,
name_C != name_skA,
inference(polarity_switch,[status(thm)],[744]) ).
thf(746,plain,
name_skA != name_C,
inference(lifteq,[status(thm)],[745]) ).
thf(10,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(300,plain,
constr_CONST_4 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(301,plain,
constr_CONST_4 != name_A,
inference(polarity_switch,[status(thm)],[300]) ).
thf(302,plain,
name_A != constr_CONST_4,
inference(lifteq,[status(thm)],[301]) ).
thf(1768,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[968,817]) ).
thf(1769,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1768]) ).
thf(1770,plain,
constr_CONST_0x30 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1769:[bind(A,$thf( constr_CONST_0x30 ))]]) ).
thf(2145,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1770,817]) ).
thf(2146,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[2145]) ).
thf(2147,plain,
constr_CONST_0x30 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2146:[bind(A,$thf( constr_CONST_0x30 @ tuple_client_A_out_5 ))]]) ).
thf(97,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(561,plain,
constr_CONST_3 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(40,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(390,plain,
constr_CONST_1 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(391,plain,
constr_CONST_1 != name_A,
inference(polarity_switch,[status(thm)],[390]) ).
thf(392,plain,
constr_CONST_1 != name_A,
inference(lifteq,[status(thm)],[391]) ).
thf(9,axiom,
constr_CONST_3 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(297,plain,
constr_CONST_3 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(53,axiom,
name_c != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax182) ).
thf(429,plain,
name_c != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(172,axiom,
name_A != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
thf(786,plain,
name_A != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(787,plain,
name_A != name_B,
inference(polarity_switch,[status(thm)],[786]) ).
thf(788,plain,
name_B != name_A,
inference(lifteq,[status(thm)],[787]) ).
thf(815,plain,
! [A: $i] :
( ( A @ pred_attacker )
| ~ ( A @ tuple_client_A_in_2 @ pred_attacker ) ),
inference(cnf,[status(esa)],[814]) ).
thf(7563,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[895,863]) ).
thf(7564,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7563]) ).
thf(7565,plain,
constr_CONST_1 @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7564:[bind(A,$thf( constr_CONST_1 ))]]) ).
thf(3767,plain,
( ( ( name_C @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1900,278]) ).
thf(3768,plain,
( ( name_C @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3767]) ).
thf(3778,plain,
( ( name_C @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[3768]) ).
thf(2721,plain,
( ( ( name_C @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2281,278]) ).
thf(2722,plain,
( ( name_C @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2721]) ).
thf(2733,plain,
( ( name_C @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[2722]) ).
thf(188,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_out_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax240) ).
thf(825,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_out_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(2297,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[943,821]) ).
thf(2298,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2297]) ).
thf(2299,plain,
constr_CONST_4 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2298:[bind(A,$thf( constr_CONST_4 ))]]) ).
thf(3013,plain,
( ( ( constr_CONST_4 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2299,278]) ).
thf(3014,plain,
( ( constr_CONST_4 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3013]) ).
thf(3022,plain,
( ( constr_CONST_4 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[3014]) ).
thf(45,axiom,
name_B != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
thf(405,plain,
name_B != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(406,plain,
name_B != name_Sc,
inference(polarity_switch,[status(thm)],[405]) ).
thf(407,plain,
name_B != name_Sc,
inference(lifteq,[status(thm)],[406]) ).
thf(141,axiom,
constr_CONST_3 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(693,plain,
constr_CONST_3 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(120,axiom,
constr_CONST_1 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(630,plain,
constr_CONST_1 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(215,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax233) ).
thf(883,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(884,plain,
! [A: $i] :
( ( A @ tuple_client_B_in_2 @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(cnf,[status(esa)],[883]) ).
thf(11906,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_B_in_2 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[969,884]) ).
thf(11907,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_B_in_2 @ pred_attacker ) ),
inference(simp,[status(thm)],[11906]) ).
thf(11908,plain,
name_B @ tuple_client_B_in_2 @ pred_attacker,
inference(pattern_uni,[status(thm)],[11907:[bind(A,$thf( name_B ))]]) ).
thf(153,axiom,
constr_CONST_1 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(729,plain,
constr_CONST_1 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(213,axiom,
name_Sa != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax157) ).
thf(879,plain,
name_Sa != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ constr_pkey @ ( B @ constr_aenc ) @ constr_adec ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax190) ).
thf(327,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ constr_pkey @ ( B @ constr_aenc ) @ constr_adec ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(328,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ constr_pkey @ ( B @ constr_aenc ) @ constr_adec ) )
= B ),
inference(cnf,[status(esa)],[327]) ).
thf(329,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ constr_pkey @ ( B @ constr_aenc ) @ constr_adec ) )
= B ),
inference(lifteq,[status(thm)],[328]) ).
thf(131,axiom,
constr_ZERO != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
thf(663,plain,
constr_ZERO != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(664,plain,
constr_ZERO != name_Sd,
inference(polarity_switch,[status(thm)],[663]) ).
thf(665,plain,
name_Sd != constr_ZERO,
inference(lifteq,[status(thm)],[664]) ).
thf(7623,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[961,863]) ).
thf(7624,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7623]) ).
thf(7625,plain,
constr_ZERO @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7624:[bind(A,$thf( constr_ZERO ))]]) ).
thf(5777,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[961,853]) ).
thf(5778,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5777]) ).
thf(5779,plain,
constr_ZERO @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5778:[bind(A,$thf( constr_ZERO ))]]) ).
thf(84,axiom,
constr_CONST_4 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
thf(522,plain,
constr_CONST_4 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(218,axiom,
name_Sa != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax154) ).
thf(889,plain,
name_Sa != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(63,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(459,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(460,plain,
constr_CONST_2 != name_c,
inference(polarity_switch,[status(thm)],[459]) ).
thf(461,plain,
constr_CONST_2 != name_c,
inference(lifteq,[status(thm)],[460]) ).
thf(5,axiom,
name_C != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax125) ).
thf(285,plain,
name_C != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(231,axiom,
! [A: $i] :
( ( A @ tuple_client_A_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax248) ).
thf(916,plain,
! [A: $i] :
( ( A @ tuple_client_A_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(65,axiom,
constr_ZERO != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
thf(465,plain,
constr_ZERO != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(466,plain,
constr_ZERO != name_Na,
inference(polarity_switch,[status(thm)],[465]) ).
thf(467,plain,
constr_ZERO != name_Na,
inference(lifteq,[status(thm)],[466]) ).
thf(847,plain,
! [A: $i] :
( ( A @ pred_attacker )
| ~ ( A @ tuple_client_B_in_1 @ pred_attacker ) ),
inference(cnf,[status(esa)],[846]) ).
thf(98,axiom,
name_Sb != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax163) ).
thf(564,plain,
name_Sb != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(565,plain,
name_Sb != name_Sd,
inference(polarity_switch,[status(thm)],[564]) ).
thf(566,plain,
name_Sb != name_Sd,
inference(lifteq,[status(thm)],[565]) ).
thf(2330,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[828,821]) ).
thf(2331,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2330]) ).
thf(2332,plain,
constr_CONST_3 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2331:[bind(A,$thf( constr_CONST_3 ))]]) ).
thf(55,axiom,
name_D != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax137) ).
thf(435,plain,
name_D != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(2311,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1770,821]) ).
thf(2312,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2311]) ).
thf(2313,plain,
constr_CONST_0x30 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2312:[bind(A,$thf( constr_CONST_0x30 @ tuple_client_A_out_5 ))]]) ).
thf(93,axiom,
constr_CONST_0x30 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(549,plain,
constr_CONST_0x30 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(550,plain,
constr_CONST_0x30 != name_C,
inference(polarity_switch,[status(thm)],[549]) ).
thf(551,plain,
name_C != constr_CONST_0x30,
inference(lifteq,[status(thm)],[550]) ).
thf(146,axiom,
name_C != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax133) ).
thf(708,plain,
name_C != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(709,plain,
name_C != name_skC,
inference(polarity_switch,[status(thm)],[708]) ).
thf(710,plain,
name_skC != name_C,
inference(lifteq,[status(thm)],[709]) ).
thf(62,axiom,
constr_CONST_4 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
thf(456,plain,
constr_CONST_4 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(195,axiom,
name_Sa != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax155) ).
thf(840,plain,
name_Sa != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(841,plain,
name_Sa != name_Sc,
inference(polarity_switch,[status(thm)],[840]) ).
thf(842,plain,
name_Sc != name_Sa,
inference(lifteq,[status(thm)],[841]) ).
thf(18,axiom,
name_skC != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax189) ).
thf(324,plain,
name_skC != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(257,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_add ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax251) ).
thf(974,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_add ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(1751,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[990,817]) ).
thf(1752,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1751]) ).
thf(1753,plain,
tuple_false @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1752:[bind(A,$thf( tuple_false ))]]) ).
thf(1930,plain,
! [A: $i] :
( ( ( tuple_false @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1753,817]) ).
thf(1931,plain,
! [A: $i] :
( ( ( tuple_false @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1930]) ).
thf(1932,plain,
tuple_false @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1931:[bind(A,$thf( tuple_false @ tuple_client_A_out_5 ))]]) ).
thf(3817,plain,
( ( ( tuple_false @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1932,278]) ).
thf(3818,plain,
( ( tuple_false @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3817]) ).
thf(3831,plain,
( ( tuple_false @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[3818]) ).
thf(15,axiom,
name_C != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax130) ).
thf(315,plain,
name_C != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(316,plain,
name_C != name_c,
inference(polarity_switch,[status(thm)],[315]) ).
thf(317,plain,
name_C != name_c,
inference(lifteq,[status(thm)],[316]) ).
thf(126,axiom,
constr_ZERO != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
thf(648,plain,
constr_ZERO != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(649,plain,
constr_ZERO != name_C,
inference(polarity_switch,[status(thm)],[648]) ).
thf(650,plain,
constr_ZERO != name_C,
inference(lifteq,[status(thm)],[649]) ).
thf(277,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_B_in_1 @ pred_attacker )
& ( B @ tuple_client_B_in_2 @ pred_attacker )
& ( A @ ( C @ tuple_client_B_in_3 ) @ pred_attacker ) )
=> ( B @ ( name_Sb @ ( name_skB @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_B @ tuple_client_B_out_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax273) ).
thf(1017,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_B_in_1 @ pred_attacker )
& ( B @ tuple_client_B_in_2 @ pred_attacker )
& ( A @ ( C @ tuple_client_B_in_3 ) @ pred_attacker ) )
=> ( B @ ( name_Sb @ ( name_skB @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_B @ tuple_client_B_out_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(2357,plain,
! [A: $i] :
( ( ( constr_ZERO @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1778,821]) ).
thf(2358,plain,
! [A: $i] :
( ( ( constr_ZERO @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2357]) ).
thf(2359,plain,
constr_ZERO @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2358:[bind(A,$thf( constr_ZERO @ tuple_client_A_out_5 ))]]) ).
thf(187,axiom,
name_skC @ constr_pkey @ tuple_out_3 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax269) ).
thf(824,plain,
name_skC @ constr_pkey @ tuple_out_3 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(1062,plain,
( ( ( name_skC @ constr_pkey @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[824,278]) ).
thf(1063,plain,
( ( name_skC @ constr_pkey @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1062]) ).
thf(1064,plain,
( ( name_skC @ constr_pkey @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[1063]) ).
thf(5796,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[928,853]) ).
thf(5797,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5796]) ).
thf(5798,plain,
name_A @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5797:[bind(A,$thf( name_A ))]]) ).
thf(151,axiom,
constr_CONST_4 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
thf(723,plain,
constr_CONST_4 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(724,plain,
constr_CONST_4 != name_Sb,
inference(polarity_switch,[status(thm)],[723]) ).
thf(725,plain,
name_Sb != constr_CONST_4,
inference(lifteq,[status(thm)],[724]) ).
thf(592,plain,
name_B != name_skC,
inference(polarity_switch,[status(thm)],[591]) ).
thf(593,plain,
name_B != name_skC,
inference(lifteq,[status(thm)],[592]) ).
thf(208,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_D_in_1 @ pred_attacker )
& ( B @ tuple_client_D_in_2 @ pred_attacker )
& ( A @ ( C @ tuple_client_D_in_3 ) @ pred_attacker ) )
=> ( B @ ( name_Sd @ ( name_skD @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_D @ tuple_client_D_out_4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax275) ).
thf(867,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ tuple_client_D_in_1 @ pred_attacker )
& ( B @ tuple_client_D_in_2 @ pred_attacker )
& ( A @ ( C @ tuple_client_D_in_3 ) @ pred_attacker ) )
=> ( B @ ( name_Sd @ ( name_skD @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_D @ tuple_client_D_out_4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(868,plain,
! [A: $i,B: $i] :
( ? [C: $i] :
( ( C @ tuple_client_D_in_1 @ pred_attacker )
& ( B @ tuple_client_D_in_2 @ pred_attacker )
& ( A @ ( C @ tuple_client_D_in_3 ) @ pred_attacker ) )
=> ( B @ ( name_Sd @ ( name_skD @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_D @ tuple_client_D_out_4 ) @ pred_attacker ) ),
inference(miniscope,[status(thm)],[867]) ).
thf(869,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( name_Sd @ ( name_skD @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_D @ tuple_client_D_out_4 ) @ pred_attacker )
| ~ ( C @ tuple_client_D_in_1 @ pred_attacker )
| ~ ( B @ tuple_client_D_in_2 @ pred_attacker )
| ~ ( A @ ( C @ tuple_client_D_in_3 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[868]) ).
thf(203,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax232) ).
thf(856,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(857,plain,
! [B: $i,A: $i] :
( ( B @ pred_attacker )
| ~ ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[856]) ).
thf(83,axiom,
constr_CONST_3 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(519,plain,
constr_CONST_3 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(102,axiom,
name_Sc != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax169) ).
thf(576,plain,
name_Sc != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(577,plain,
name_Sc != name_Sd,
inference(polarity_switch,[status(thm)],[576]) ).
thf(578,plain,
name_Sd != name_Sc,
inference(lifteq,[status(thm)],[577]) ).
thf(1802,plain,
! [A: $i] :
( ( ( name_D @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1706,817]) ).
thf(1803,plain,
! [A: $i] :
( ( ( name_D @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[1802]) ).
thf(1804,plain,
name_D @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[1803:[bind(A,$thf( name_D @ tuple_client_A_out_5 ))]]) ).
thf(115,axiom,
constr_ZERO != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
thf(615,plain,
constr_ZERO != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(28,axiom,
name_D != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax140) ).
thf(354,plain,
name_D != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(355,plain,
name_D != name_c,
inference(polarity_switch,[status(thm)],[354]) ).
thf(356,plain,
name_D != name_c,
inference(lifteq,[status(thm)],[355]) ).
thf(7600,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[907,863]) ).
thf(7601,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7600]) ).
thf(7602,plain,
constr_CONST_2 @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7601:[bind(A,$thf( constr_CONST_2 ))]]) ).
thf(10405,plain,
( ( ( constr_CONST_2 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7602,278]) ).
thf(10406,plain,
( ( constr_CONST_2 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[10405]) ).
thf(10445,plain,
( ( constr_CONST_2 @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[10406]) ).
thf(50,axiom,
constr_CONST_4 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
thf(420,plain,
constr_CONST_4 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(67,axiom,
name_B != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
thf(471,plain,
name_B != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(72,axiom,
name_Na != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax147) ).
thf(486,plain,
name_Na != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(487,plain,
name_Na != name_Sc,
inference(polarity_switch,[status(thm)],[486]) ).
thf(488,plain,
name_Na != name_Sc,
inference(lifteq,[status(thm)],[487]) ).
thf(23,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(339,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(89,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(537,plain,
constr_CONST_4 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(133,axiom,
name_D != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
thf(669,plain,
name_D != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(7585,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[968,863]) ).
thf(7586,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7585]) ).
thf(7587,plain,
constr_CONST_0x30 @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7586:[bind(A,$thf( constr_CONST_0x30 ))]]) ).
thf(10312,plain,
( ( ( constr_CONST_0x30 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7587,278]) ).
thf(10313,plain,
( ( constr_CONST_0x30 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[10312]) ).
thf(10342,plain,
( ( constr_CONST_0x30 @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[10313]) ).
thf(124,axiom,
name_Sd != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax179) ).
thf(642,plain,
name_Sd != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(73,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(489,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(255,axiom,
! [A: $i,B: $i] :
( ( ( B @ tuple_client_A_in_1 @ pred_attacker )
& ( A @ tuple_client_A_in_2 @ pred_attacker ) )
=> ( B @ ( name_Sa @ ( name_Na @ constr_add ) @ constr_aenc ) @ ( name_A @ tuple_client_A_out_3 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax271) ).
thf(970,plain,
! [A: $i,B: $i] :
( ( ( B @ tuple_client_A_in_1 @ pred_attacker )
& ( A @ tuple_client_A_in_2 @ pred_attacker ) )
=> ( B @ ( name_Sa @ ( name_Na @ constr_add ) @ constr_aenc ) @ ( name_A @ tuple_client_A_out_3 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(1026,plain,
( ( ( name_c @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[848,278]) ).
thf(1027,plain,
( ( name_c @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1026]) ).
thf(1028,plain,
name_c != name_Sa,
inference(simp,[status(thm)],[1027]) ).
thf(214,axiom,
name_skD @ constr_pkey @ tuple_out_4 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax270) ).
thf(882,plain,
name_skD @ constr_pkey @ tuple_out_4 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(1080,plain,
( ( ( name_skD @ constr_pkey @ tuple_out_4 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[882,278]) ).
thf(1081,plain,
( ( name_skD @ constr_pkey @ tuple_out_4 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1080]) ).
thf(1082,plain,
( ( name_skD @ constr_pkey @ tuple_out_4 )
!= name_Sa ),
inference(simp,[status(thm)],[1081]) ).
thf(94,axiom,
name_skB != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax187) ).
thf(552,plain,
name_skB != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(553,plain,
name_skB != name_skC,
inference(polarity_switch,[status(thm)],[552]) ).
thf(554,plain,
name_skB != name_skC,
inference(lifteq,[status(thm)],[553]) ).
thf(161,axiom,
name_Na != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax152) ).
thf(753,plain,
name_Na != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(138,axiom,
constr_ZERO != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax96) ).
thf(684,plain,
constr_ZERO != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(685,plain,
constr_ZERO != name_skB,
inference(polarity_switch,[status(thm)],[684]) ).
thf(686,plain,
name_skB != constr_ZERO,
inference(lifteq,[status(thm)],[685]) ).
thf(68,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).
thf(474,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(475,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(polarity_switch,[status(thm)],[474]) ).
thf(476,plain,
constr_CONST_1 != constr_CONST_0x30,
inference(lifteq,[status(thm)],[475]) ).
thf(7028,plain,
( ( ( constr_ZERO @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5779,278]) ).
thf(7029,plain,
( ( constr_ZERO @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[7028]) ).
thf(7059,plain,
( ( constr_ZERO @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[7029]) ).
thf(106,axiom,
name_Sb != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).
thf(588,plain,
name_Sb != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(589,plain,
name_Sb != name_skA,
inference(polarity_switch,[status(thm)],[588]) ).
thf(590,plain,
name_skA != name_Sb,
inference(lifteq,[status(thm)],[589]) ).
thf(7542,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[990,863]) ).
thf(7543,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7542]) ).
thf(7544,plain,
tuple_false @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7543:[bind(A,$thf( tuple_false ))]]) ).
thf(143,axiom,
constr_CONST_2 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(699,plain,
constr_CONST_2 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(700,plain,
constr_CONST_2 != name_skB,
inference(polarity_switch,[status(thm)],[699]) ).
thf(701,plain,
name_skB != constr_CONST_2,
inference(lifteq,[status(thm)],[700]) ).
thf(81,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(513,plain,
constr_CONST_2 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(514,plain,
constr_CONST_2 != constr_ZERO,
inference(polarity_switch,[status(thm)],[513]) ).
thf(515,plain,
constr_CONST_2 != constr_ZERO,
inference(lifteq,[status(thm)],[514]) ).
thf(128,axiom,
constr_CONST_3 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(654,plain,
constr_CONST_3 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(270,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_D_in_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax211) ).
thf(1002,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_D_in_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(3617,plain,
( ( ( name_D @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1804,278]) ).
thf(3618,plain,
( ( name_D @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3617]) ).
thf(3628,plain,
( ( name_D @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[3618]) ).
thf(99,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(567,plain,
constr_CONST_3 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(568,plain,
constr_CONST_3 != name_B,
inference(polarity_switch,[status(thm)],[567]) ).
thf(569,plain,
name_B != constr_CONST_3,
inference(lifteq,[status(thm)],[568]) ).
thf(778,plain,
name_skA != name_skD,
inference(polarity_switch,[status(thm)],[777]) ).
thf(779,plain,
name_skA != name_skD,
inference(lifteq,[status(thm)],[778]) ).
thf(41,axiom,
name_Sc != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax172) ).
thf(393,plain,
name_Sc != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(646,plain,
name_Sc != name_c,
inference(polarity_switch,[status(thm)],[645]) ).
thf(647,plain,
name_c != name_Sc,
inference(lifteq,[status(thm)],[646]) ).
thf(268,axiom,
! [A: $i] :
( ( A @ tuple_client_A_out_5 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax238) ).
thf(997,plain,
! [A: $i] :
( ( A @ tuple_client_A_out_5 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(156,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(738,plain,
constr_CONST_2 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(261,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_C_in_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax223) ).
thf(984,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_C_in_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(228,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_in_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax245) ).
thf(911,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_in_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(2132,plain,
( ( ( constr_CONST_4 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1765,278]) ).
thf(2133,plain,
( ( constr_CONST_4 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2132]) ).
thf(2140,plain,
( ( constr_CONST_4 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[2133]) ).
thf(33,axiom,
constr_CONST_4 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
thf(369,plain,
constr_CONST_4 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(370,plain,
constr_CONST_4 != name_skB,
inference(polarity_switch,[status(thm)],[369]) ).
thf(371,plain,
name_skB != constr_CONST_4,
inference(lifteq,[status(thm)],[370]) ).
thf(77,axiom,
name_A != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
thf(501,plain,
name_A != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(502,plain,
name_A != name_Sb,
inference(polarity_switch,[status(thm)],[501]) ).
thf(503,plain,
name_Sb != name_A,
inference(lifteq,[status(thm)],[502]) ).
thf(111,axiom,
name_C != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax128) ).
thf(603,plain,
name_C != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(604,plain,
name_C != name_Sc,
inference(polarity_switch,[status(thm)],[603]) ).
thf(605,plain,
name_C != name_Sc,
inference(lifteq,[status(thm)],[604]) ).
thf(174,axiom,
constr_CONST_4 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
thf(792,plain,
constr_CONST_4 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(13,axiom,
name_C != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
thf(309,plain,
name_C != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(310,plain,
name_C != name_D,
inference(polarity_switch,[status(thm)],[309]) ).
thf(311,plain,
name_D != name_C,
inference(lifteq,[status(thm)],[310]) ).
thf(129,axiom,
name_Sb != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax168) ).
thf(657,plain,
name_Sb != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(397,plain,
name_c != name_skD,
inference(polarity_switch,[status(thm)],[396]) ).
thf(398,plain,
name_skD != name_c,
inference(lifteq,[status(thm)],[397]) ).
thf(96,axiom,
name_Sd != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax178) ).
thf(558,plain,
name_Sd != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(6012,plain,
( ( ( name_B @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5593,278]) ).
thf(6013,plain,
( ( name_B @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[6012]) ).
thf(6038,plain,
( ( name_B @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[6013]) ).
thf(86,axiom,
constr_ZERO != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
thf(528,plain,
constr_ZERO != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(529,plain,
constr_ZERO != name_A,
inference(polarity_switch,[status(thm)],[528]) ).
thf(530,plain,
name_A != constr_ZERO,
inference(lifteq,[status(thm)],[529]) ).
thf(246,axiom,
name_Sa != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax158) ).
thf(951,plain,
name_Sa != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(952,plain,
name_Sa != name_skA,
inference(polarity_switch,[status(thm)],[951]) ).
thf(953,plain,
name_skA != name_Sa,
inference(lifteq,[status(thm)],[952]) ).
thf(661,plain,
constr_ZERO != name_Sc,
inference(polarity_switch,[status(thm)],[660]) ).
thf(662,plain,
constr_ZERO != name_Sc,
inference(lifteq,[status(thm)],[661]) ).
thf(121,axiom,
name_Sd != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax177) ).
thf(633,plain,
name_Sd != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(30,axiom,
name_c != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax180) ).
thf(360,plain,
name_c != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(8983,plain,
( ( ( tuple_false @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7544,278]) ).
thf(8984,plain,
( ( tuple_false @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[8983]) ).
thf(9008,plain,
( ( tuple_false @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[8984]) ).
thf(7513,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[843,863]) ).
thf(7514,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7513]) ).
thf(7515,plain,
name_C @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7514:[bind(A,$thf( name_C ))]]) ).
thf(8899,plain,
( ( ( name_C @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7515,278]) ).
thf(8900,plain,
( ( name_C @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[8899]) ).
thf(8923,plain,
( ( name_C @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[8900]) ).
thf(165,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
thf(765,plain,
constr_CONST_4 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(2308,plain,
! [A: $i] :
( ( ( tuple_false @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1753,821]) ).
thf(2309,plain,
! [A: $i] :
( ( ( tuple_false @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2308]) ).
thf(2310,plain,
tuple_false @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2309:[bind(A,$thf( tuple_false @ tuple_client_A_out_5 ))]]) ).
thf(5400,plain,
( ( ( tuple_false @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2310,278]) ).
thf(5401,plain,
( ( tuple_false @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[5400]) ).
thf(5419,plain,
( ( tuple_false @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[5401]) ).
thf(134,axiom,
name_A != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
thf(672,plain,
name_A != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(673,plain,
name_A != name_D,
inference(polarity_switch,[status(thm)],[672]) ).
thf(674,plain,
name_D != name_A,
inference(lifteq,[status(thm)],[673]) ).
thf(12070,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_B_in_2 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[843,884]) ).
thf(12071,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_B_in_2 @ pred_attacker ) ),
inference(simp,[status(thm)],[12070]) ).
thf(12072,plain,
name_C @ tuple_client_B_in_2 @ pred_attacker,
inference(pattern_uni,[status(thm)],[12071:[bind(A,$thf( name_C ))]]) ).
thf(167,axiom,
constr_CONST_1 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(771,plain,
constr_CONST_1 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(772,plain,
constr_CONST_1 != name_Sc,
inference(polarity_switch,[status(thm)],[771]) ).
thf(773,plain,
constr_CONST_1 != name_Sc,
inference(lifteq,[status(thm)],[772]) ).
thf(793,plain,
constr_CONST_4 != name_skA,
inference(polarity_switch,[status(thm)],[792]) ).
thf(794,plain,
name_skA != constr_CONST_4,
inference(lifteq,[status(thm)],[793]) ).
thf(116,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(618,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(51,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(423,plain,
constr_CONST_0x30 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(424,plain,
constr_CONST_0x30 != constr_ZERO,
inference(polarity_switch,[status(thm)],[423]) ).
thf(425,plain,
constr_ZERO != constr_CONST_0x30,
inference(lifteq,[status(thm)],[424]) ).
thf(1950,plain,
( ( ( tuple_false @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1753,278]) ).
thf(1951,plain,
( ( tuple_false @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1950]) ).
thf(1959,plain,
( ( tuple_false @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[1951]) ).
thf(5760,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[907,853]) ).
thf(5761,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5760]) ).
thf(5762,plain,
constr_CONST_2 @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5761:[bind(A,$thf( constr_CONST_2 ))]]) ).
thf(3,axiom,
constr_CONST_4 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
thf(279,plain,
constr_CONST_4 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(101,axiom,
name_Sc != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax174) ).
thf(573,plain,
name_Sc != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(35,axiom,
constr_CONST_4 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
thf(375,plain,
constr_CONST_4 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(252,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_D_out_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax208) ).
thf(965,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_D_out_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(160,axiom,
constr_CONST_4 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
thf(750,plain,
constr_CONST_4 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(7888,plain,
( ( ( name_B @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7393,278]) ).
thf(7889,plain,
( ( name_B @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[7888]) ).
thf(7920,plain,
( ( name_B @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[7889]) ).
thf(688,plain,
constr_CONST_0x30 != name_skC,
inference(polarity_switch,[status(thm)],[687]) ).
thf(689,plain,
name_skC != constr_CONST_0x30,
inference(lifteq,[status(thm)],[688]) ).
thf(8,axiom,
constr_CONST_0x30 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(294,plain,
constr_CONST_0x30 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(295,plain,
constr_CONST_0x30 != name_Sd,
inference(polarity_switch,[status(thm)],[294]) ).
thf(296,plain,
name_Sd != constr_CONST_0x30,
inference(lifteq,[status(thm)],[295]) ).
thf(58,axiom,
name_D != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax135) ).
thf(444,plain,
name_D != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(583,plain,
constr_CONST_2 != name_Sb,
inference(polarity_switch,[status(thm)],[582]) ).
thf(584,plain,
constr_CONST_2 != name_Sb,
inference(lifteq,[status(thm)],[583]) ).
thf(184,axiom,
! [A: $i] :
( ( A @ tuple_client_D_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax214) ).
thf(818,plain,
! [A: $i] :
( ( A @ tuple_client_D_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(819,plain,
! [A: $i] :
( ( A @ pred_attacker )
| ~ ( A @ tuple_client_D_in_2 @ pred_attacker ) ),
inference(cnf,[status(esa)],[818]) ).
thf(272,axiom,
! [A: $i] :
( ( A @ tuple_client_B_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax234) ).
thf(1007,plain,
! [A: $i] :
( ( A @ tuple_client_B_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(742,plain,
name_D != name_Sd,
inference(polarity_switch,[status(thm)],[741]) ).
thf(743,plain,
name_D != name_Sd,
inference(lifteq,[status(thm)],[742]) ).
thf(249,axiom,
constr_CONST_1 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(958,plain,
constr_CONST_1 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(1518,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[861,1381]) ).
thf(1519,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1518]) ).
thf(1520,plain,
( ( name_D @ ( name_D @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1519:[bind(A,$thf( name_D ))]]) ).
thf(280,plain,
constr_CONST_4 != name_Sc,
inference(polarity_switch,[status(thm)],[279]) ).
thf(281,plain,
name_Sc != constr_CONST_4,
inference(lifteq,[status(thm)],[280]) ).
thf(91,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(543,plain,
constr_CONST_2 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(544,plain,
constr_CONST_2 != name_A,
inference(polarity_switch,[status(thm)],[543]) ).
thf(545,plain,
constr_CONST_2 != name_A,
inference(lifteq,[status(thm)],[544]) ).
thf(4483,plain,
( ( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2147,278]) ).
thf(4484,plain,
( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4483]) ).
thf(4505,plain,
( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[4484]) ).
thf(412,plain,
constr_CONST_2 != name_C,
inference(polarity_switch,[status(thm)],[411]) ).
thf(413,plain,
constr_CONST_2 != name_C,
inference(lifteq,[status(thm)],[412]) ).
thf(874,plain,
name_Sa != name_skD,
inference(polarity_switch,[status(thm)],[873]) ).
thf(875,plain,
name_skD != name_Sa,
inference(lifteq,[status(thm)],[874]) ).
thf(147,axiom,
constr_ZERO != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
thf(711,plain,
constr_ZERO != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(103,axiom,
name_A != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
thf(579,plain,
name_A != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(123,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(639,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(640,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(polarity_switch,[status(thm)],[639]) ).
thf(641,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(lifteq,[status(thm)],[640]) ).
thf(2291,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[895,821]) ).
thf(2292,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2291]) ).
thf(2293,plain,
constr_CONST_1 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2292:[bind(A,$thf( constr_CONST_1 ))]]) ).
thf(11870,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_B_in_2 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[861,884]) ).
thf(11871,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_B_in_2 @ pred_attacker ) ),
inference(simp,[status(thm)],[11870]) ).
thf(11872,plain,
name_D @ tuple_client_B_in_2 @ pred_attacker,
inference(pattern_uni,[status(thm)],[11871:[bind(A,$thf( name_D ))]]) ).
thf(12359,plain,
( ( ( name_D @ tuple_client_B_in_2 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11872,278]) ).
thf(12360,plain,
( ( name_D @ tuple_client_B_in_2 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[12359]) ).
thf(12401,plain,
( ( name_D @ tuple_client_B_in_2 )
!= name_Sa ),
inference(simp,[status(thm)],[12360]) ).
thf(113,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(609,plain,
constr_CONST_3 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(610,plain,
constr_CONST_3 != name_A,
inference(polarity_switch,[status(thm)],[609]) ).
thf(611,plain,
name_A != constr_CONST_3,
inference(lifteq,[status(thm)],[610]) ).
thf(1056,plain,
( ( ( name_B @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[969,278]) ).
thf(1057,plain,
( ( name_B @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1056]) ).
thf(1058,plain,
name_B != name_Sa,
inference(simp,[status(thm)],[1057]) ).
thf(334,plain,
constr_CONST_2 != name_D,
inference(polarity_switch,[status(thm)],[333]) ).
thf(335,plain,
constr_CONST_2 != name_D,
inference(lifteq,[status(thm)],[334]) ).
thf(2417,plain,
( ( ( constr_CONST_3 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1783,278]) ).
thf(2418,plain,
( ( constr_CONST_3 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2417]) ).
thf(2425,plain,
( ( constr_CONST_3 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[2418]) ).
thf(703,plain,
name_Na != name_skB,
inference(polarity_switch,[status(thm)],[702]) ).
thf(704,plain,
name_skB != name_Na,
inference(lifteq,[status(thm)],[703]) ).
thf(244,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_out_3 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax241) ).
thf(947,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_out_3 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(1220,plain,
( ( ( name_skB @ constr_pkey @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1170,278]) ).
thf(1221,plain,
( ( name_skB @ constr_pkey @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1220]) ).
thf(1224,plain,
( ( name_skB @ constr_pkey )
!= name_Sa ),
inference(simp,[status(thm)],[1221]) ).
thf(7569,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[943,863]) ).
thf(7570,plain,
! [A: $i] :
( ( ( constr_CONST_4 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7569]) ).
thf(7571,plain,
constr_CONST_4 @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7570:[bind(A,$thf( constr_CONST_4 ))]]) ).
thf(9235,plain,
( ( ( constr_CONST_4 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7571,278]) ).
thf(9236,plain,
( ( constr_CONST_4 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[9235]) ).
thf(9258,plain,
( ( constr_CONST_4 @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[9236]) ).
thf(349,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ constr_add ) @ ( A @ constr_add ) )
= ( C @ ( B @ ( A @ constr_add ) @ constr_add ) ) ),
inference(cnf,[status(esa)],[348]) ).
thf(350,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ constr_add ) @ constr_add ) )
= ( C @ ( B @ constr_add ) @ ( A @ constr_add ) ) ),
inference(lifteq,[status(thm)],[349]) ).
thf(2180,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1775,817]) ).
thf(2181,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[2180]) ).
thf(2182,plain,
constr_CONST_2 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2181:[bind(A,$thf( constr_CONST_2 @ tuple_client_A_out_5 ))]]) ).
thf(4540,plain,
( ( ( constr_CONST_2 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2182,278]) ).
thf(4541,plain,
( ( constr_CONST_2 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4540]) ).
thf(4558,plain,
( ( constr_CONST_2 @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[4541]) ).
thf(571,plain,
name_B != name_skA,
inference(polarity_switch,[status(thm)],[570]) ).
thf(572,plain,
name_B != name_skA,
inference(lifteq,[status(thm)],[571]) ).
thf(2324,plain,
! [A: $i] :
( ( ( name_B @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1721,821]) ).
thf(2325,plain,
! [A: $i] :
( ( ( name_B @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2324]) ).
thf(2326,plain,
name_B @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2325:[bind(A,$thf( name_B @ tuple_client_A_out_5 ))]]) ).
thf(712,plain,
constr_ZERO != name_D,
inference(polarity_switch,[status(thm)],[711]) ).
thf(713,plain,
name_D != constr_ZERO,
inference(lifteq,[status(thm)],[712]) ).
thf(9151,plain,
( ( ( constr_CONST_1 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7565,278]) ).
thf(9152,plain,
( ( constr_CONST_1 @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[9151]) ).
thf(9178,plain,
( ( constr_CONST_1 @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[9152]) ).
thf(223,axiom,
name_C != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
thf(900,plain,
name_C != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(830,plain,
! [A: $i] :
( ? [B: $i] : ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(miniscope,[status(thm)],[829]) ).
thf(831,plain,
! [B: $i,A: $i] :
( ( A @ pred_attacker )
| ~ ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[830]) ).
thf(5561,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[861,853]) ).
thf(5562,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5561]) ).
thf(5563,plain,
name_D @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5562:[bind(A,$thf( name_D ))]]) ).
thf(5880,plain,
( ( ( name_D @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5563,278]) ).
thf(5881,plain,
( ( name_D @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[5880]) ).
thf(5901,plain,
( ( name_D @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[5881]) ).
thf(11,axiom,
name_Sb != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax164) ).
thf(303,plain,
name_Sb != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5793,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[828,853]) ).
thf(5794,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_out_3 @ pred_attacker ) ),
inference(simp,[status(thm)],[5793]) ).
thf(5795,plain,
constr_CONST_3 @ tuple_out_3 @ pred_attacker,
inference(pattern_uni,[status(thm)],[5794:[bind(A,$thf( constr_CONST_3 ))]]) ).
thf(3376,plain,
( ( ( name_A @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2335,278]) ).
thf(3377,plain,
( ( name_A @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3376]) ).
thf(3384,plain,
( ( name_A @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[3377]) ).
thf(763,plain,
constr_ZERO != name_Sb,
inference(polarity_switch,[status(thm)],[762]) ).
thf(764,plain,
name_Sb != constr_ZERO,
inference(lifteq,[status(thm)],[763]) ).
thf(259,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_4 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax197) ).
thf(979,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_4 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(1572,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[928,1381]) ).
thf(1573,plain,
! [A: $i] :
( ( ( name_A @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1572]) ).
thf(1574,plain,
( ( name_D @ ( name_A @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1573:[bind(A,$thf( name_A ))]]) ).
thf(274,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_D_out_4 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax209) ).
thf(1011,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_D_out_4 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(418,plain,
constr_CONST_0x30 != name_skD,
inference(polarity_switch,[status(thm)],[417]) ).
thf(419,plain,
name_skD != constr_CONST_0x30,
inference(lifteq,[status(thm)],[418]) ).
thf(376,plain,
constr_CONST_4 != name_Sd,
inference(polarity_switch,[status(thm)],[375]) ).
thf(377,plain,
name_Sd != constr_CONST_4,
inference(lifteq,[status(thm)],[376]) ).
thf(361,plain,
name_c != name_skA,
inference(polarity_switch,[status(thm)],[360]) ).
thf(362,plain,
name_skA != name_c,
inference(lifteq,[status(thm)],[361]) ).
thf(155,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(735,plain,
constr_CONST_1 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(736,plain,
constr_CONST_1 != name_B,
inference(polarity_switch,[status(thm)],[735]) ).
thf(737,plain,
name_B != constr_CONST_1,
inference(lifteq,[status(thm)],[736]) ).
thf(508,plain,
constr_CONST_1 != name_skA,
inference(polarity_switch,[status(thm)],[507]) ).
thf(509,plain,
name_skA != constr_CONST_1,
inference(lifteq,[status(thm)],[508]) ).
thf(7358,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[861,863]) ).
thf(7359,plain,
! [A: $i] :
( ( ( name_D @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_C_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[7358]) ).
thf(7360,plain,
name_D @ tuple_client_C_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[7359:[bind(A,$thf( name_D ))]]) ).
thf(1041,plain,
( ( ( tuple_true @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[913,278]) ).
thf(1042,plain,
( ( tuple_true @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1041]) ).
thf(1043,plain,
tuple_true != name_Sa,
inference(simp,[status(thm)],[1042]) ).
thf(54,axiom,
name_A != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
thf(432,plain,
name_A != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(433,plain,
name_A != name_Sc,
inference(polarity_switch,[status(thm)],[432]) ).
thf(434,plain,
name_A != name_Sc,
inference(lifteq,[status(thm)],[433]) ).
thf(1569,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[828,1381]) ).
thf(1570,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1569]) ).
thf(1571,plain,
( ( name_D @ ( constr_CONST_3 @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1570:[bind(A,$thf( constr_CONST_3 ))]]) ).
thf(598,plain,
name_Sd != name_skA,
inference(polarity_switch,[status(thm)],[597]) ).
thf(599,plain,
name_skA != name_Sd,
inference(lifteq,[status(thm)],[598]) ).
thf(493,plain,
name_Sb != name_skB,
inference(polarity_switch,[status(thm)],[492]) ).
thf(494,plain,
name_skB != name_Sb,
inference(lifteq,[status(thm)],[493]) ).
thf(757,plain,
constr_CONST_0x30 != name_B,
inference(polarity_switch,[status(thm)],[756]) ).
thf(758,plain,
name_B != constr_CONST_0x30,
inference(lifteq,[status(thm)],[757]) ).
thf(322,plain,
name_Sc != name_skC,
inference(polarity_switch,[status(thm)],[321]) ).
thf(323,plain,
name_skC != name_Sc,
inference(lifteq,[status(thm)],[322]) ).
thf(2265,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1759,821]) ).
thf(2266,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2265]) ).
thf(2267,plain,
constr_CONST_1 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2266:[bind(A,$thf( constr_CONST_1 @ tuple_client_A_out_5 ))]]) ).
thf(108,axiom,
constr_CONST_3 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(594,plain,
constr_CONST_3 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(152,axiom,
name_B != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
thf(726,plain,
name_B != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(118,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(624,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(625,plain,
constr_CONST_1 != constr_CONST_3,
inference(polarity_switch,[status(thm)],[624]) ).
thf(626,plain,
constr_CONST_1 != constr_CONST_3,
inference(lifteq,[status(thm)],[625]) ).
thf(1554,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[895,1381]) ).
thf(1555,plain,
! [A: $i] :
( ( ( constr_CONST_1 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1554]) ).
thf(1556,plain,
( ( name_D @ ( constr_CONST_1 @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1555:[bind(A,$thf( constr_CONST_1 ))]]) ).
thf(667,plain,
name_Na != name_Sd,
inference(polarity_switch,[status(thm)],[666]) ).
thf(668,plain,
name_Sd != name_Na,
inference(lifteq,[status(thm)],[667]) ).
thf(20,axiom,
name_A != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
thf(330,plain,
name_A != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(181,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax231) ).
thf(811,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(204,axiom,
constr_CONST_2 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(858,plain,
constr_CONST_2 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(1020,plain,
( ( ( constr_CONST_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[828,278]) ).
thf(1021,plain,
( ( constr_CONST_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1020]) ).
thf(1022,plain,
constr_CONST_3 != name_Sa,
inference(simp,[status(thm)],[1021]) ).
thf(64,axiom,
name_Sd != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax175) ).
thf(462,plain,
name_Sd != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(1059,plain,
( ( ( tuple_false @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[990,278]) ).
thf(1060,plain,
( ( tuple_false @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1059]) ).
thf(1061,plain,
tuple_false != name_Sa,
inference(simp,[status(thm)],[1060]) ).
thf(520,plain,
constr_CONST_3 != name_D,
inference(polarity_switch,[status(thm)],[519]) ).
thf(521,plain,
name_D != constr_CONST_3,
inference(lifteq,[status(thm)],[520]) ).
thf(43,axiom,
name_D != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax142) ).
thf(399,plain,
name_D != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(607,plain,
constr_CONST_1 != name_Na,
inference(polarity_switch,[status(thm)],[606]) ).
thf(608,plain,
constr_CONST_1 != name_Na,
inference(lifteq,[status(thm)],[607]) ).
thf(562,plain,
constr_CONST_3 != constr_ZERO,
inference(polarity_switch,[status(thm)],[561]) ).
thf(563,plain,
constr_ZERO != constr_CONST_3,
inference(lifteq,[status(thm)],[562]) ).
thf(298,plain,
constr_CONST_3 != name_Sd,
inference(polarity_switch,[status(thm)],[297]) ).
thf(299,plain,
name_Sd != constr_CONST_3,
inference(lifteq,[status(thm)],[298]) ).
thf(850,plain,
name_Sa != name_skB,
inference(polarity_switch,[status(thm)],[849]) ).
thf(851,plain,
name_skB != name_Sa,
inference(lifteq,[status(thm)],[850]) ).
thf(430,plain,
name_c != name_skC,
inference(polarity_switch,[status(thm)],[429]) ).
thf(431,plain,
name_skC != name_c,
inference(lifteq,[status(thm)],[430]) ).
thf(234,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_C_in_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax221) ).
thf(922,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_C_in_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(1560,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[968,1381]) ).
thf(1561,plain,
! [A: $i] :
( ( ( constr_CONST_0x30 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1560]) ).
thf(1562,plain,
( ( name_D @ ( constr_CONST_0x30 @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1561:[bind(A,$thf( constr_CONST_0x30 ))]]) ).
thf(2285,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[990,821]) ).
thf(2286,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2285]) ).
thf(2287,plain,
tuple_false @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2286:[bind(A,$thf( tuple_false ))]]) ).
thf(2762,plain,
( ( ( tuple_false @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2287,278]) ).
thf(2763,plain,
( ( tuple_false @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2762]) ).
thf(2770,plain,
( ( tuple_false @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[2763]) ).
thf(982,plain,
name_Sa != name_Sd,
inference(polarity_switch,[status(thm)],[981]) ).
thf(983,plain,
name_Sd != name_Sa,
inference(lifteq,[status(thm)],[982]) ).
thf(826,plain,
! [A: $i] :
( ? [B: $i] : ( B @ ( A @ tuple_client_A_out_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(miniscope,[status(thm)],[825]) ).
thf(827,plain,
! [B: $i,A: $i] :
( ( A @ pred_attacker )
| ~ ( B @ ( A @ tuple_client_A_out_3 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[826]) ).
thf(694,plain,
constr_CONST_3 != name_skA,
inference(polarity_switch,[status(thm)],[693]) ).
thf(695,plain,
name_skA != constr_CONST_3,
inference(lifteq,[status(thm)],[694]) ).
thf(2316,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[907,821]) ).
thf(2317,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2316]) ).
thf(2318,plain,
constr_CONST_2 @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2317:[bind(A,$thf( constr_CONST_2 ))]]) ).
thf(3101,plain,
( ( ( constr_CONST_2 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2318,278]) ).
thf(3102,plain,
( ( constr_CONST_2 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3101]) ).
thf(3110,plain,
( ( constr_CONST_2 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[3102]) ).
thf(5463,plain,
( ( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2313,278]) ).
thf(5464,plain,
( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[5463]) ).
thf(5482,plain,
( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[5464]) ).
thf(454,plain,
name_B != name_Sb,
inference(polarity_switch,[status(thm)],[453]) ).
thf(455,plain,
name_B != name_Sb,
inference(lifteq,[status(thm)],[454]) ).
thf(276,axiom,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax259) ).
thf(1015,plain,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(2271,plain,
! [A: $i] :
( ( ( name_skB @ constr_pkey @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1170,821]) ).
thf(2272,plain,
! [A: $i] :
( ( ( name_skB @ constr_pkey @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2271]) ).
thf(2273,plain,
name_skB @ constr_pkey @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2272:[bind(A,$thf( name_skB @ constr_pkey ))]]) ).
thf(5017,plain,
( ( ( name_skB @ constr_pkey @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2273,278]) ).
thf(5018,plain,
( ( name_skB @ constr_pkey @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[5017]) ).
thf(5042,plain,
( ( name_skB @ constr_pkey @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[5018]) ).
thf(262,axiom,
! [A: $i] :
( ( A @ tuple_client_C_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax226) ).
thf(986,plain,
! [A: $i] :
( ( A @ tuple_client_C_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(472,plain,
name_B != name_skD,
inference(polarity_switch,[status(thm)],[471]) ).
thf(473,plain,
name_B != name_skD,
inference(lifteq,[status(thm)],[472]) ).
thf(4312,plain,
( ( ( name_c @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2042,278]) ).
thf(4313,plain,
( ( name_c @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4312]) ).
thf(4331,plain,
( ( name_c @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[4313]) ).
thf(150,axiom,
name_B != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
thf(720,plain,
name_B != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(721,plain,
name_B != name_D,
inference(polarity_switch,[status(thm)],[720]) ).
thf(722,plain,
name_B != name_D,
inference(lifteq,[status(thm)],[721]) ).
thf(1047,plain,
( ( ( constr_CONST_4 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[943,278]) ).
thf(1048,plain,
( ( constr_CONST_4 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1047]) ).
thf(1049,plain,
constr_CONST_4 != name_Sa,
inference(simp,[status(thm)],[1048]) ).
thf(243,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax218) ).
thf(944,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(679,plain,
constr_CONST_3 != name_C,
inference(polarity_switch,[status(thm)],[678]) ).
thf(680,plain,
constr_CONST_3 != name_C,
inference(lifteq,[status(thm)],[679]) ).
thf(547,plain,
constr_CONST_4 != name_c,
inference(polarity_switch,[status(thm)],[546]) ).
thf(548,plain,
name_c != constr_CONST_4,
inference(lifteq,[status(thm)],[547]) ).
thf(373,plain,
constr_CONST_2 != name_Sc,
inference(polarity_switch,[status(thm)],[372]) ).
thf(374,plain,
constr_CONST_2 != name_Sc,
inference(lifteq,[status(thm)],[373]) ).
thf(616,plain,
constr_ZERO != name_skA,
inference(polarity_switch,[status(thm)],[615]) ).
thf(617,plain,
name_skA != constr_ZERO,
inference(lifteq,[status(thm)],[616]) ).
thf(457,plain,
constr_CONST_4 != name_Na,
inference(polarity_switch,[status(thm)],[456]) ).
thf(458,plain,
name_Na != constr_CONST_4,
inference(lifteq,[status(thm)],[457]) ).
thf(186,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax244) ).
thf(822,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(823,plain,
! [B: $i,A: $i] :
( ( B @ pred_attacker )
| ~ ( B @ ( A @ tuple_client_A_in_4 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[822]) ).
thf(1023,plain,
( ( ( name_C @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[843,278]) ).
thf(1024,plain,
( ( name_C @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1023]) ).
thf(1025,plain,
name_C != name_Sa,
inference(simp,[status(thm)],[1024]) ).
thf(145,axiom,
name_A != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
thf(705,plain,
name_A != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(706,plain,
name_A != name_Na,
inference(polarity_switch,[status(thm)],[705]) ).
thf(707,plain,
name_A != name_Na,
inference(lifteq,[status(thm)],[706]) ).
thf(217,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_D_in_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax213) ).
thf(887,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_D_in_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(247,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_C_in_3 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax220) ).
thf(954,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_client_C_in_3 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(266,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_adec ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax250) ).
thf(993,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_adec ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(1545,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[843,1381]) ).
thf(1546,plain,
! [A: $i] :
( ( ( name_C @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1545]) ).
thf(1547,plain,
( ( name_D @ ( name_C @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1546:[bind(A,$thf( name_C ))]]) ).
thf(775,plain,
constr_CONST_0x30 != name_skB,
inference(polarity_switch,[status(thm)],[774]) ).
thf(776,plain,
name_skB != constr_CONST_0x30,
inference(lifteq,[status(thm)],[775]) ).
thf(556,plain,
constr_ZERO != name_B,
inference(polarity_switch,[status(thm)],[555]) ).
thf(557,plain,
name_B != constr_ZERO,
inference(lifteq,[status(thm)],[556]) ).
thf(1068,plain,
( ( ( name_skB @ constr_pkey @ tuple_out_2 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[878,278]) ).
thf(1069,plain,
( ( name_skB @ constr_pkey @ tuple_out_2 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1068]) ).
thf(1070,plain,
( ( name_skB @ constr_pkey @ tuple_out_2 )
!= name_Sa ),
inference(simp,[status(thm)],[1069]) ).
thf(871,plain,
! [A: $i,B: $i] :
( ? [C: $i] :
( ( C @ tuple_client_C_in_1 @ pred_attacker )
& ( B @ tuple_client_C_in_2 @ pred_attacker )
& ( A @ ( C @ tuple_client_C_in_3 ) @ pred_attacker ) )
=> ( B @ ( name_Sc @ ( name_skC @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_C @ tuple_client_C_out_4 ) @ pred_attacker ) ),
inference(miniscope,[status(thm)],[870]) ).
thf(872,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( name_Sc @ ( name_skC @ ( A @ constr_adec ) @ constr_add ) @ constr_aenc ) @ ( name_C @ tuple_client_C_out_4 ) @ pred_attacker )
| ~ ( C @ tuple_client_C_in_1 @ pred_attacker )
| ~ ( B @ tuple_client_C_in_2 @ pred_attacker )
| ~ ( A @ ( C @ tuple_client_C_in_3 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[871]) ).
thf(790,plain,
constr_CONST_1 != constr_CONST_2,
inference(polarity_switch,[status(thm)],[789]) ).
thf(791,plain,
constr_CONST_2 != constr_CONST_1,
inference(lifteq,[status(thm)],[790]) ).
thf(1822,plain,
( ( ( name_D @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1706,278]) ).
thf(1823,plain,
( ( name_D @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1822]) ).
thf(1830,plain,
( ( name_D @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[1823]) ).
thf(22,axiom,
name_Na != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax146) ).
thf(336,plain,
name_Na != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(337,plain,
name_Na != name_Sb,
inference(polarity_switch,[status(thm)],[336]) ).
thf(338,plain,
name_Sb != name_Na,
inference(lifteq,[status(thm)],[337]) ).
thf(358,plain,
name_skB != name_skD,
inference(polarity_switch,[status(thm)],[357]) ).
thf(359,plain,
name_skB != name_skD,
inference(lifteq,[status(thm)],[358]) ).
thf(1083,plain,
! [A: $i] :
( ( ( A @ name_new0x2Dname @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[930,278]) ).
thf(1084,plain,
! [A: $i] :
( ( A @ name_new0x2Dname @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1083]) ).
thf(1085,plain,
! [A: $i] :
( ( A @ name_new0x2Dname )
!= name_Sa ),
inference(simp,[status(thm)],[1084]) ).
thf(469,plain,
name_A != name_skC,
inference(polarity_switch,[status(thm)],[468]) ).
thf(470,plain,
name_skC != name_A,
inference(lifteq,[status(thm)],[469]) ).
thf(655,plain,
constr_CONST_3 != name_skC,
inference(polarity_switch,[status(thm)],[654]) ).
thf(656,plain,
name_skC != constr_CONST_3,
inference(lifteq,[status(thm)],[655]) ).
thf(1050,plain,
( ( ( constr_ZERO @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[961,278]) ).
thf(1051,plain,
( ( constr_ZERO @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1050]) ).
thf(1052,plain,
constr_ZERO != name_Sa,
inference(simp,[status(thm)],[1051]) ).
thf(207,axiom,
name_B != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
thf(864,plain,
name_B != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(385,plain,
name_Na != name_c,
inference(polarity_switch,[status(thm)],[384]) ).
thf(386,plain,
name_Na != name_c,
inference(lifteq,[status(thm)],[385]) ).
thf(313,plain,
constr_CONST_1 != constr_ZERO,
inference(polarity_switch,[status(thm)],[312]) ).
thf(314,plain,
constr_CONST_1 != constr_ZERO,
inference(lifteq,[status(thm)],[313]) ).
thf(445,plain,
name_D != name_Na,
inference(polarity_switch,[status(thm)],[444]) ).
thf(446,plain,
name_D != name_Na,
inference(lifteq,[status(thm)],[445]) ).
thf(265,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax201) ).
thf(991,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(2319,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[961,821]) ).
thf(2320,plain,
! [A: $i] :
( ( ( constr_ZERO @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2319]) ).
thf(2321,plain,
constr_ZERO @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2320:[bind(A,$thf( constr_ZERO ))]]) ).
thf(3145,plain,
( ( ( constr_ZERO @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2321,278]) ).
thf(3146,plain,
( ( constr_ZERO @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3145]) ).
thf(3156,plain,
( ( constr_ZERO @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[3146]) ).
thf(4777,plain,
( ( ( name_C @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2217,278]) ).
thf(4778,plain,
( ( name_C @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4777]) ).
thf(4795,plain,
( ( name_C @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[4778]) ).
thf(75,axiom,
name_Na != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax153) ).
thf(495,plain,
name_Na != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(496,plain,
name_Na != name_skD,
inference(polarity_switch,[status(thm)],[495]) ).
thf(497,plain,
name_skD != name_Na,
inference(lifteq,[status(thm)],[496]) ).
thf(197,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax219) ).
thf(844,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(845,plain,
! [B: $i,A: $i] :
( ( B @ pred_attacker )
| ~ ( B @ ( A @ tuple_client_C_out_4 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[844]) ).
thf(1551,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[848,1381]) ).
thf(1552,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1551]) ).
thf(1553,plain,
( ( name_D @ ( name_c @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1552:[bind(A,$thf( name_c ))]]) ).
thf(481,plain,
constr_CONST_4 != name_skD,
inference(polarity_switch,[status(thm)],[480]) ).
thf(482,plain,
name_skD != constr_CONST_4,
inference(lifteq,[status(thm)],[481]) ).
thf(670,plain,
name_D != name_Sc,
inference(polarity_switch,[status(thm)],[669]) ).
thf(671,plain,
name_D != name_Sc,
inference(lifteq,[status(thm)],[670]) ).
thf(890,plain,
name_Sa != name_Sb,
inference(polarity_switch,[status(thm)],[889]) ).
thf(891,plain,
name_Sb != name_Sa,
inference(lifteq,[status(thm)],[890]) ).
thf(7813,plain,
( ( ( tuple_true @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7369,278]) ).
thf(7814,plain,
( ( tuple_true @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[7813]) ).
thf(7844,plain,
( ( tuple_true @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[7814]) ).
thf(238,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax258) ).
thf(931,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(538,plain,
constr_CONST_4 != constr_ZERO,
inference(polarity_switch,[status(thm)],[537]) ).
thf(539,plain,
constr_ZERO != constr_CONST_4,
inference(lifteq,[status(thm)],[538]) ).
thf(258,axiom,
constr_CONST_3 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(976,plain,
constr_CONST_3 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(224,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_in_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax247) ).
thf(903,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_A_in_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(523,plain,
constr_CONST_4 != name_D,
inference(polarity_switch,[status(thm)],[522]) ).
thf(524,plain,
name_D != constr_CONST_4,
inference(lifteq,[status(thm)],[523]) ).
thf(580,plain,
name_A != name_skB,
inference(polarity_switch,[status(thm)],[579]) ).
thf(581,plain,
name_skB != name_A,
inference(lifteq,[status(thm)],[580]) ).
thf(367,plain,
name_D != name_skD,
inference(polarity_switch,[status(thm)],[366]) ).
thf(368,plain,
name_D != name_skD,
inference(lifteq,[status(thm)],[367]) ).
thf(2224,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[913,821]) ).
thf(2225,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2224]) ).
thf(2226,plain,
tuple_true @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2225:[bind(A,$thf( tuple_true ))]]) ).
thf(3717,plain,
( ( ( name_B @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1868,278]) ).
thf(3718,plain,
( ( name_B @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3717]) ).
thf(3729,plain,
( ( name_B @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[3718]) ).
thf(2167,plain,
( ( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1770,278]) ).
thf(2168,plain,
( ( constr_CONST_0x30 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2167]) ).
thf(2174,plain,
( ( constr_CONST_0x30 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[2168]) ).
thf(221,axiom,
! [A: $i] :
( ( A @ tuple_client_C_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax224) ).
thf(896,plain,
! [A: $i] :
( ( A @ tuple_client_C_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(2288,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[848,821]) ).
thf(2289,plain,
! [A: $i] :
( ( ( name_c @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2288]) ).
thf(2290,plain,
name_c @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2289:[bind(A,$thf( name_c ))]]) ).
thf(631,plain,
constr_CONST_1 != name_skC,
inference(polarity_switch,[status(thm)],[630]) ).
thf(632,plain,
name_skC != constr_CONST_1,
inference(lifteq,[status(thm)],[631]) ).
thf(400,plain,
name_D != name_skB,
inference(polarity_switch,[status(thm)],[399]) ).
thf(401,plain,
name_skB != name_D,
inference(lifteq,[status(thm)],[400]) ).
thf(267,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_neg @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax205) ).
thf(995,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_neg @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(2392,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1783,817]) ).
thf(2393,plain,
! [A: $i] :
( ( ( constr_CONST_3 @ tuple_client_A_out_5 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_A_out_5 @ pred_attacker ) ),
inference(simp,[status(thm)],[2392]) ).
thf(2394,plain,
constr_CONST_3 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2393:[bind(A,$thf( constr_CONST_3 @ tuple_client_A_out_5 ))]]) ).
thf(812,plain,
! [A: $i] :
( ? [B: $i] : ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(miniscope,[status(thm)],[811]) ).
thf(813,plain,
! [B: $i,A: $i] :
( ( A @ pred_attacker )
| ~ ( B @ ( A @ tuple_client_B_in_3 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[812]) ).
thf(730,plain,
constr_CONST_1 != name_skB,
inference(polarity_switch,[status(thm)],[729]) ).
thf(731,plain,
name_skB != constr_CONST_1,
inference(lifteq,[status(thm)],[730]) ).
thf(7100,plain,
( ( ( constr_CONST_3 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5795,278]) ).
thf(7101,plain,
( ( constr_CONST_3 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[7100]) ).
thf(7125,plain,
( ( constr_CONST_3 @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[7101]) ).
thf(1854,plain,
( ( ( tuple_true @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1712,278]) ).
thf(1855,plain,
( ( tuple_true @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1854]) ).
thf(1861,plain,
( ( tuple_true @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[1855]) ).
thf(4369,plain,
( ( ( constr_CONST_1 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2077,278]) ).
thf(4370,plain,
( ( constr_CONST_1 @ tuple_client_A_out_5 @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4369]) ).
thf(4387,plain,
( ( constr_CONST_1 @ tuple_client_A_out_5 @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[4370]) ).
thf(382,plain,
constr_CONST_2 != name_skA,
inference(polarity_switch,[status(thm)],[381]) ).
thf(383,plain,
name_skA != constr_CONST_2,
inference(lifteq,[status(thm)],[382]) ).
thf(1886,plain,
( ( ( name_B @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1721,278]) ).
thf(1887,plain,
( ( name_B @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1886]) ).
thf(1893,plain,
( ( name_B @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[1887]) ).
thf(535,plain,
name_skA != name_skC,
inference(polarity_switch,[status(thm)],[534]) ).
thf(536,plain,
name_skA != name_skC,
inference(lifteq,[status(thm)],[535]) ).
thf(289,plain,
constr_CONST_3 != constr_CONST_4,
inference(polarity_switch,[status(thm)],[288]) ).
thf(290,plain,
constr_CONST_3 != constr_CONST_4,
inference(lifteq,[status(thm)],[289]) ).
thf(230,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_D_in_3 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax212) ).
thf(914,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_D_in_3 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(191,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_C_in_3 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax222) ).
thf(832,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_C_in_3 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(715,plain,
name_B != name_Na,
inference(polarity_switch,[status(thm)],[714]) ).
thf(716,plain,
name_B != name_Na,
inference(lifteq,[status(thm)],[715]) ).
thf(799,plain,
constr_CONST_0x30 != name_D,
inference(polarity_switch,[status(thm)],[798]) ).
thf(800,plain,
name_D != constr_CONST_0x30,
inference(lifteq,[status(thm)],[799]) ).
thf(286,plain,
name_C != name_Na,
inference(polarity_switch,[status(thm)],[285]) ).
thf(287,plain,
name_Na != name_C,
inference(lifteq,[status(thm)],[286]) ).
thf(2379,plain,
( ( ( constr_ZERO @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1778,278]) ).
thf(2380,plain,
( ( constr_ZERO @ tuple_client_A_out_5 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2379]) ).
thf(2385,plain,
( ( constr_ZERO @ tuple_client_A_out_5 )
!= name_Sa ),
inference(simp,[status(thm)],[2380]) ).
thf(7738,plain,
( ( ( name_D @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7360,278]) ).
thf(7739,plain,
( ( name_D @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[7738]) ).
thf(7759,plain,
( ( name_D @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[7739]) ).
thf(5526,plain,
( ( ( name_B @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2326,278]) ).
thf(5527,plain,
( ( name_B @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[5526]) ).
thf(5554,plain,
( ( name_B @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[5527]) ).
thf(421,plain,
constr_CONST_4 != name_C,
inference(polarity_switch,[status(thm)],[420]) ).
thf(422,plain,
name_C != constr_CONST_4,
inference(lifteq,[status(thm)],[421]) ).
thf(619,plain,
constr_CONST_2 != constr_CONST_4,
inference(polarity_switch,[status(thm)],[618]) ).
thf(620,plain,
constr_CONST_2 != constr_CONST_4,
inference(lifteq,[status(thm)],[619]) ).
thf(751,plain,
constr_CONST_4 != name_skC,
inference(polarity_switch,[status(thm)],[750]) ).
thf(752,plain,
name_skC != constr_CONST_4,
inference(lifteq,[status(thm)],[751]) ).
thf(4897,plain,
( ( ( constr_CONST_1 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2267,278]) ).
thf(4898,plain,
( ( constr_CONST_1 @ tuple_client_A_out_5 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[4897]) ).
thf(4917,plain,
( ( constr_CONST_1 @ tuple_client_A_out_5 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[4898]) ).
thf(833,plain,
! [B: $i,A: $i] :
( ( B @ pred_attacker )
| ~ ( B @ ( A @ tuple_client_C_in_3 ) @ pred_attacker ) ),
inference(cnf,[status(esa)],[832]) ).
thf(409,plain,
name_D != name_skC,
inference(polarity_switch,[status(thm)],[408]) ).
thf(410,plain,
name_skC != name_D,
inference(lifteq,[status(thm)],[409]) ).
thf(2969,plain,
( ( ( constr_CONST_1 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2293,278]) ).
thf(2970,plain,
( ( constr_CONST_1 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2969]) ).
thf(2983,plain,
( ( constr_CONST_1 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[2970]) ).
thf(2803,plain,
( ( ( name_c @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2290,278]) ).
thf(2804,plain,
( ( name_c @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2803]) ).
thf(2815,plain,
( ( name_c @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[2804]) ).
thf(304,plain,
name_Sb != name_c,
inference(polarity_switch,[status(thm)],[303]) ).
thf(305,plain,
name_Sb != name_c,
inference(lifteq,[status(thm)],[304]) ).
thf(325,plain,
name_skC != name_skD,
inference(polarity_switch,[status(thm)],[324]) ).
thf(326,plain,
name_skC != name_skD,
inference(lifteq,[status(thm)],[325]) ).
thf(340,plain,
constr_CONST_2 != constr_CONST_3,
inference(polarity_switch,[status(thm)],[339]) ).
thf(341,plain,
constr_CONST_2 != constr_CONST_3,
inference(lifteq,[status(thm)],[340]) ).
thf(505,plain,
constr_CONST_0x30 != name_Sc,
inference(polarity_switch,[status(thm)],[504]) ).
thf(506,plain,
constr_CONST_0x30 != name_Sc,
inference(lifteq,[status(thm)],[505]) ).
thf(436,plain,
name_D != name_Sb,
inference(polarity_switch,[status(thm)],[435]) ).
thf(437,plain,
name_D != name_Sb,
inference(lifteq,[status(thm)],[436]) ).
thf(634,plain,
name_Sd != name_skB,
inference(polarity_switch,[status(thm)],[633]) ).
thf(635,plain,
name_skB != name_Sd,
inference(lifteq,[status(thm)],[634]) ).
thf(232,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax235) ).
thf(918,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_client_B_in_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(177,axiom,
name_C != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax132) ).
thf(801,plain,
name_C != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(766,plain,
constr_CONST_4 != name_B,
inference(polarity_switch,[status(thm)],[765]) ).
thf(767,plain,
name_B != constr_CONST_4,
inference(lifteq,[status(thm)],[766]) ).
thf(11888,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_B_in_2 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[913,884]) ).
thf(11889,plain,
! [A: $i] :
( ( ( tuple_true @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_B_in_2 @ pred_attacker ) ),
inference(simp,[status(thm)],[11888]) ).
thf(11890,plain,
tuple_true @ tuple_client_B_in_2 @ pred_attacker,
inference(pattern_uni,[status(thm)],[11889:[bind(A,$thf( tuple_true ))]]) ).
thf(2639,plain,
( ( ( tuple_true @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2226,278]) ).
thf(2640,plain,
( ( tuple_true @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2639]) ).
thf(2651,plain,
( ( tuple_true @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[2640]) ).
thf(2239,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[969,821]) ).
thf(2240,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( A @ tuple_client_D_in_1 @ pred_attacker ) ),
inference(simp,[status(thm)],[2239]) ).
thf(2241,plain,
name_B @ tuple_client_D_in_1 @ pred_attacker,
inference(pattern_uni,[status(thm)],[2240:[bind(A,$thf( name_B ))]]) ).
thf(463,plain,
name_Sd != name_c,
inference(polarity_switch,[status(thm)],[462]) ).
thf(464,plain,
name_Sd != name_c,
inference(lifteq,[status(thm)],[463]) ).
thf(331,plain,
name_A != name_Sd,
inference(polarity_switch,[status(thm)],[330]) ).
thf(332,plain,
name_A != name_Sd,
inference(lifteq,[status(thm)],[331]) ).
thf(574,plain,
name_Sc != name_skD,
inference(polarity_switch,[status(thm)],[573]) ).
thf(575,plain,
name_skD != name_Sc,
inference(lifteq,[status(thm)],[574]) ).
thf(1530,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[969,1381]) ).
thf(1531,plain,
! [A: $i] :
( ( ( name_B @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1530]) ).
thf(1532,plain,
( ( name_D @ ( name_B @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1531:[bind(A,$thf( name_B ))]]) ).
thf(595,plain,
constr_CONST_3 != name_Na,
inference(polarity_switch,[status(thm)],[594]) ).
thf(596,plain,
constr_CONST_3 != name_Na,
inference(lifteq,[status(thm)],[595]) ).
thf(227,axiom,
name_A != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
thf(908,plain,
name_A != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(394,plain,
name_Sc != name_skB,
inference(polarity_switch,[status(thm)],[393]) ).
thf(395,plain,
name_skB != name_Sc,
inference(lifteq,[status(thm)],[394]) ).
thf(839,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ tuple_client_D_in_3 ) @ pred_attacker )
| ~ ( B @ pred_attacker )
| ~ ( A @ pred_attacker ) ),
inference(cnf,[status(esa)],[838]) ).
thf(727,plain,
name_B != name_c,
inference(polarity_switch,[status(thm)],[726]) ).
thf(728,plain,
name_B != name_c,
inference(lifteq,[status(thm)],[727]) ).
thf(739,plain,
constr_CONST_2 != name_B,
inference(polarity_switch,[status(thm)],[738]) ).
thf(740,plain,
name_B != constr_CONST_2,
inference(lifteq,[status(thm)],[739]) ).
thf(643,plain,
name_Sd != name_skD,
inference(polarity_switch,[status(thm)],[642]) ).
thf(644,plain,
name_Sd != name_skD,
inference(lifteq,[status(thm)],[643]) ).
thf(1548,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[990,1381]) ).
thf(1549,plain,
! [A: $i] :
( ( ( tuple_false @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1548]) ).
thf(1550,plain,
( ( name_D @ ( tuple_false @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1549:[bind(A,$thf( tuple_false ))]]) ).
thf(3329,plain,
( ( ( constr_CONST_3 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2332,278]) ).
thf(3330,plain,
( ( constr_CONST_3 @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[3329]) ).
thf(3341,plain,
( ( constr_CONST_3 @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[3330]) ).
thf(7172,plain,
( ( ( name_A @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5798,278]) ).
thf(7173,plain,
( ( name_A @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[7172]) ).
thf(7195,plain,
( ( name_A @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[7173]) ).
thf(802,plain,
name_C != name_skB,
inference(polarity_switch,[status(thm)],[801]) ).
thf(803,plain,
name_skB != name_C,
inference(lifteq,[status(thm)],[802]) ).
thf(273,axiom,
! [A: $i] :
( ( A @ tuple_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax200) ).
thf(1009,plain,
! [A: $i] :
( ( A @ tuple_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(754,plain,
name_Na != name_skC,
inference(polarity_switch,[status(thm)],[753]) ).
thf(755,plain,
name_skC != name_Na,
inference(lifteq,[status(thm)],[754]) ).
thf(490,plain,
constr_CONST_3 != name_c,
inference(polarity_switch,[status(thm)],[489]) ).
thf(491,plain,
constr_CONST_3 != name_c,
inference(lifteq,[status(thm)],[490]) ).
thf(6714,plain,
( ( ( constr_CONST_2 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5762,278]) ).
thf(6715,plain,
( ( constr_CONST_2 @ tuple_out_3 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[6714]) ).
thf(6739,plain,
( ( constr_CONST_2 @ tuple_out_3 )
!= name_Sa ),
inference(simp,[status(thm)],[6715]) ).
thf(256,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_out_4 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax229) ).
thf(972,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_client_B_out_4 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(2680,plain,
( ( ( name_B @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2241,278]) ).
thf(2681,plain,
( ( name_B @ tuple_client_D_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[2680]) ).
thf(2690,plain,
( ( name_B @ tuple_client_D_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[2681]) ).
thf(658,plain,
name_Sb != name_skD,
inference(polarity_switch,[status(thm)],[657]) ).
thf(659,plain,
name_Sb != name_skD,
inference(lifteq,[status(thm)],[658]) ).
thf(1563,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[907,1381]) ).
thf(1564,plain,
! [A: $i] :
( ( ( constr_CONST_2 @ pred_attacker )
!= ( A @ pred_attacker ) )
| ( ( name_D @ ( A @ tuple_client_C_out_4 ) )
!= name_Sa ) ),
inference(simp,[status(thm)],[1563]) ).
thf(1565,plain,
( ( name_D @ ( constr_CONST_2 @ tuple_client_C_out_4 ) )
!= name_Sa ),
inference(pattern_uni,[status(thm)],[1564:[bind(A,$thf( constr_CONST_2 ))]]) ).
thf(1035,plain,
( ( ( constr_CONST_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[895,278]) ).
thf(1036,plain,
( ( constr_CONST_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[1035]) ).
thf(1037,plain,
constr_CONST_1 != name_Sa,
inference(simp,[status(thm)],[1036]) ).
thf(559,plain,
name_Sd != name_skC,
inference(polarity_switch,[status(thm)],[558]) ).
thf(560,plain,
name_skC != name_Sd,
inference(lifteq,[status(thm)],[559]) ).
thf(10498,plain,
( ( ( constr_ZERO @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7625,278]) ).
thf(10499,plain,
( ( constr_ZERO @ tuple_client_C_in_1 @ pred_attacker )
!= ( name_Sa @ pred_attacker ) ),
inference(simp,[status(thm)],[10498]) ).
thf(10537,plain,
( ( constr_ZERO @ tuple_client_C_in_1 )
!= name_Sa ),
inference(simp,[status(thm)],[10499]) ).
thf(39442,plain,
$false,
inference(e,[status(thm)],[809,4447,629,365,5593,6530,2072,347,846,2463,518,6172,645,892,479,1559,333,1031,962,468,777,555,666,9091,2104,683,6463,5297,308,741,6602,597,861,3680,2077,1750,408,582,762,1924,1005,2210,873,449,878,440,614,677,6665,500,797,814,698,2042,4980,930,384,5361,1756,533,747,913,10726,898,1001,782,417,288,7343,320,651,829,404,885,1046,389,1055,570,10630,719,785,372,504,2501,2217,702,344,542,587,838,934,357,949,2356,817,6240,4862,870,416,1568,1778,638,853,969,606,1013,284,770,6098,5727,756,789,591,443,7369,623,3438,937,348,806,821,492,7268,1040,321,485,834,353,2335,905,480,687,3068,2281,734,453,774,1351,660,428,849,507,602,5572,981,877,692,293,956,396,1526,411,988,527,312,452,920,380,678,7393,546,925,381,1067,798,512,942,1153,761,5968,810,1783,366,534,2232,2307,714,1868,1900,746,302,862,2147,561,392,297,429,788,815,7565,3778,2733,825,3022,820,407,693,630,11908,729,879,329,665,7625,5779,522,889,461,1836,285,916,467,847,566,852,2332,435,2313,551,2112,710,456,842,324,974,3831,317,650,1017,2359,1064,5798,725,593,869,857,519,578,1804,615,356,10445,783,420,471,884,488,339,537,669,10342,642,489,970,1744,1028,1082,554,753,686,476,7059,590,837,7544,701,515,654,7587,1932,1002,3628,569,779,393,1114,647,997,738,2304,984,911,2140,371,1759,503,605,792,311,657,1170,398,558,6038,530,953,662,633,360,9008,8923,765,1712,5419,674,12072,773,794,618,425,513,1959,5762,824,856,279,573,375,965,750,7920,689,296,444,5715,584,819,423,1007,402,732,843,743,958,1520,281,545,4505,413,875,711,579,291,641,2220,2293,12401,611,1058,335,1765,804,2425,704,947,1224,9258,350,540,672,1786,4558,572,2326,713,9178,498,900,831,681,2299,5901,303,5795,3384,863,764,979,1574,1011,419,377,990,2284,362,567,737,318,509,7360,1043,434,1571,599,494,758,5730,816,609,323,2267,594,726,621,483,848,895,626,1556,668,1381,330,5563,477,387,811,2182,345,858,552,943,1022,2329,462,1061,521,399,278,780,608,563,1775,299,851,438,431,653,922,1562,2770,983,768,827,636,695,3110,5482,455,883,7647,1015,5042,986,306,473,4331,722,675,426,7571,648,749,342,1049,531,944,795,2318,680,663,548,374,7562,617,516,968,458,11872,823,525,855,690,1025,707,887,414,327,954,1753,993,1547,776,557,1770,1070,872,705,282,791,441,585,717,840,1830,338,359,907,1085,470,576,951,808,744,336,5736,656,7515,600,1052,864,386,314,446,991,3156,4795,612,497,876,845,465,627,5749,363,1553,482,671,495,759,891,771,7844,450,931,539,2310,976,903,524,581,368,844,2226,3729,2273,2174,896,2290,351,390,632,401,995,2394,588,699,961,813,1721,731,786,7125,1861,510,5692,929,4387,1706,383,1893,7644,549,536,290,914,378,832,684,716,800,287,300,447,315,2385,7759,432,5554,818,405,422,867,603,735,999,2287,620,752,4917,833,410,2983,2815,854,564,305,326,341,506,807,437,828,635,696,720,928,294,918,801,474,767,11890,2651,2241,464,332,575,1532,596,528,459,908,723,822,2270,501,395,624,839,728,740,644,1550,369,3341,7195,486,803,354,1009,543,7602,639,755,491,6739,882,972,2321,940,309,2690,659,1565,1037,560,708,10537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW958+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.13 % 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
% 0.26/5.52 % Computer : n011.cluster.edu
% 0.26/5.52 % Model : x86_64 x86_64
% 0.26/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/5.52 % Memory : 8046.5625MB
% 0.26/5.52 % OS : Linux 6.8.0-71-generic
% 0.26/5.52 % CPULimit : 300
% 0.26/5.52 % WCLimit : 300
% 0.26/5.52 % DateTime : Sat Sep 26 16:38:04 UTC 2026
% 0.26/5.52 % CPUTime :
% 0.26/5.52 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
% 0.31/6.03 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.04/6.33 % [INFO] Parsing done (301ms).
% 2.04/6.34 % [INFO] Running in sequential loop mode.
% 3.28/6.72 % [INFO] eprover registered as external prover.
% 3.28/6.73 % [INFO] Scanning for conjecture ...
% 3.58/6.84 % [INFO] Found a conjecture (or negated_conjecture) and 276 axioms. Running axiom selection ...
% 3.81/6.98 % [INFO] Axiom selection finished. Selected 275 axioms (removed 1 axioms).
% 4.49/7.12 % [INFO] Problem is first-order (TPTP FOF).
% 4.49/7.14 % [INFO] Type checking passed.
% 4.49/7.15 % [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 ...
% 123.72/33.65 % External prover 'e' found a proof!
% 123.72/33.65 % [INFO] Killing All external provers ...
% 123.72/33.65 % Time passed: 27960ms (effective reasoning time: 27302ms)
% 123.72/33.65 % 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)>
% 123.72/33.66 % Axioms used in derivation (275): ax20, ax204, ax255, ax249, ax52, ax222, ax67, ax239, ax195, ax120, ax110, ax272, ax206, ax143, ax237, ax217, ax74, ax211, ax226, ax148, ax24, ax63, ax266, ax109, ax166, ax132, ax56, ax103, ax4, ax47, ax114, ax177, ax188, ax233, ax228, ax215, ax250, ax137, ax41, ax159, ax96, ax199, ax126, ax261, ax154, ax31, ax90, ax184, ax28, ax9, ax198, ax153, ax147, ax17, ax158, ax0, ax6, ax133, ax40, ax121, ax131, ax35, ax58, ax180, ax45, ax122, ax85, ax69, ax267, ax256, ax13, ax245, ax191, ax216, ax187, ax174, ax155, ax142, ax78, ax125, ax39, ax89, ax205, ax176, ax244, ax185, ax262, ax190, ax124, ax27, ax203, ax66, ax178, ax8, ax91, ax73, ax254, ax183, ax51, ax48, ax21, ax240, ax172, ax136, ax232, ax214, ax167, ax88, ax150, ax200, ax160, ax194, ax210, ax157, ax117, ax236, ax221, ax10, ax248, ax189, ax62, ax106, ax55, ax32, ax259, ax95, ax273, ax16, ax225, ax146, ax243, ax113, ax269, ax80, ax59, ax99, ax102, ax173, ax1, ax251, ax7, ax77, ax38, ax164, ax44, ax258, ax84, ax175, ax139, ax92, ax94, ax186, ax224, ax33, ax26, ax61, ax231, ax168, ax11, ax247, ax50, ax118, ax87, ax162, ax208, ax235, ax72, ax128, ax65, ax22, ax105, ax253, ax15, ax197, ax145, ax202, ax241, ax275, ax179, ax264, ax213, ax81, ax76, ax43, ax274, ax83, ax263, ax242, ax151, ax229, ax19, ax193, ax2, ax101, ax252, ax220, ax70, ax140, ax98, ax129, ax171, ax207, ax270, ax230, ax135, ax37, ax161, ax182, ax54, ax49, ax112, ax218, ax127, ax104, ax165, ax138, ax14, ax144, ax246, ax163, ax115, ax257, ax209, ax149, ax108, ax12, ax227, ax46, ax34, ax23, ax268, ax86, ax25, ax60, ax71, ax238, ax196, ax223, ax97, ax57, ax68, ax212, ax170, ax42, ax82, ax219, ax30, ax192, ax18, ax156, ax141, ax5, ax130, ax36, ax234, ax64, ax116, ax107, ax181, ax75, ax3, ax260, ax29, ax201, ax100, ax134, ax93, ax169, ax271, ax152, ax53, ax119, ax111, ax79, ax123
% 123.72/33.66 % No. of inferences in proof: 1533
% 123.72/33.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 27960 ms resp. 27302 ms w/o parsing
% 115.96/33.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 115.96/33.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------