%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW952+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 : Wed Oct 7 11:02:14 AM UTC 2026
% Result : Theorem 158.25s 26.95s
% Output : CNFRefutation 158.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 137
% Syntax : Number of formulae : 737 ( 640 unt; 0 typ; 0 def)
% Number of atoms : 2398 (1165 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 2204 ( 539 ~; 213 |; 14 &;1386 @)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 18 con; 0-2 aty)
% Number of variables : 367 ( 0 ^; 367 !; 0 ?; 367 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_constr_CONST_0x30,type,
constr_CONST_0x30: $i ).
thf(tp_constr_CONST_1,type,
constr_CONST_1: $i ).
thf(tp_constr_CONST_2,type,
constr_CONST_2: $i ).
thf(tp_constr_CONST_3,type,
constr_CONST_3: $i ).
thf(tp_constr_CONST_4,type,
constr_CONST_4: $i ).
thf(tp_constr_QUERY,type,
constr_QUERY: $i ).
thf(tp_constr_ZERO,type,
constr_ZERO: $i ).
thf(tp_constr_h,type,
constr_h: $i > $i ).
thf(tp_constr_rotate,type,
constr_rotate: $i > $i > $i ).
thf(tp_constr_split_L,type,
constr_split_L: $i > $i ).
thf(tp_constr_split_R,type,
constr_split_R: $i > $i ).
thf(tp_constr_xor,type,
constr_xor: $i > $i > $i ).
thf(tp_name_ID,type,
name_ID: $i ).
thf(tp_name_c,type,
name_c: $i ).
thf(tp_name_k,type,
name_k: $i ).
thf(tp_name_new0x2Dname,type,
name_new0x2Dname: $i > $i ).
thf(tp_name_objective,type,
name_objective: $i ).
thf(tp_name_r1,type,
name_r1: $i ).
thf(tp_name_r1_s1,type,
name_r1_s1: $i ).
thf(tp_name_r2_s1,type,
name_r2_s1: $i ).
thf(tp_pred_attacker,type,
pred_attacker: $i > $o ).
thf(tp_pred_equal,type,
pred_equal: $i > $i > $o ).
thf(tp_pred_mess,type,
pred_mess: $i > $i > $o ).
thf(tp_tuple_R_in_2,type,
tuple_R_in_2: $i > $i > $i ).
thf(tp_tuple_R_out_1,type,
tuple_R_out_1: $i > $i > $i ).
thf(tp_tuple_R_out_3,type,
tuple_R_out_3: $i > $i ).
thf(tp_tuple_R_out_4,type,
tuple_R_out_4: $i > $i ).
thf(tp_tuple_false,type,
tuple_false: $i ).
thf(tp_tuple_sess_1_out_1,type,
tuple_sess_1_out_1: $i > $i ).
thf(tp_tuple_sess_1_out_2,type,
tuple_sess_1_out_2: $i > $i > $i ).
thf(tp_tuple_sess_1_out_3,type,
tuple_sess_1_out_3: $i > $i ).
thf(tp_tuple_true,type,
tuple_true: $i ).
thf(1,axiom,
! [VAR_R2_30X303: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_30X303 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
thf(2,axiom,
! [VAR_R2_297: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_297 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).
thf(3,axiom,
pred_attacker @ ( tuple_R_out_1 @ constr_QUERY @ name_r1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
thf(4,axiom,
pred_attacker @ ( tuple_sess_1_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).
thf(5,axiom,
pred_attacker @ ( tuple_sess_1_out_2 @ name_r2_s1 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).
thf(6,axiom,
pred_attacker @ ( tuple_sess_1_out_1 @ name_r1_s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
thf(7,axiom,
! [VAR_V_124: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_124 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).
thf(9,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).
thf(10,axiom,
! [VAR_V_120X30: $i,VAR_V_121: $i] :
( ( ( pred_attacker @ VAR_V_121 )
& ( pred_attacker @ VAR_V_120X30 ) )
=> ( pred_mess @ VAR_V_121 @ VAR_V_120X30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax127) ).
thf(11,axiom,
! [VAR_V_118: $i,VAR_V_119: $i] :
( ( ( pred_mess @ VAR_V_119 @ VAR_V_118 )
& ( pred_attacker @ VAR_V_119 ) )
=> ( pred_attacker @ VAR_V_118 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
thf(12,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).
thf(13,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).
thf(14,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).
thf(15,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
thf(16,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).
thf(17,axiom,
pred_attacker @ constr_QUERY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).
thf(18,axiom,
! [VAR_V_111: $i,VAR_V_112: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_111 @ VAR_V_112 ) )
=> ( pred_attacker @ VAR_V_112 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).
thf(19,axiom,
! [VAR_V_10X308: $i,VAR_V_10X309: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X308 @ VAR_V_10X309 ) )
=> ( pred_attacker @ VAR_V_10X308 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).
thf(20,axiom,
! [VAR_V_10X300X30: $i,VAR_V_10X301: $i] :
( ( ( pred_attacker @ VAR_V_10X300X30 )
& ( pred_attacker @ VAR_V_10X301 ) )
=> ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X300X30 @ VAR_V_10X301 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
thf(21,axiom,
! [VAR_V_95: $i,VAR_V_96: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_95 @ VAR_V_96 ) )
=> ( pred_attacker @ VAR_V_96 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
thf(22,axiom,
! [VAR_V_92: $i,VAR_V_93: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_92 @ VAR_V_93 ) )
=> ( pred_attacker @ VAR_V_92 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).
thf(23,axiom,
! [VAR_V_84: $i,VAR_V_85: $i] :
( ( ( pred_attacker @ VAR_V_84 )
& ( pred_attacker @ VAR_V_85 ) )
=> ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_84 @ VAR_V_85 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).
thf(24,axiom,
! [VAR_V_80X30: $i] :
( ( pred_attacker @ ( tuple_R_out_3 @ VAR_V_80X30 ) )
=> ( pred_attacker @ VAR_V_80X30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
thf(25,axiom,
! [VAR_V_77: $i] :
( ( pred_attacker @ VAR_V_77 )
=> ( pred_attacker @ ( tuple_R_out_3 @ VAR_V_77 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).
thf(26,axiom,
! [VAR_V_74: $i] :
( ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_74 ) )
=> ( pred_attacker @ VAR_V_74 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
thf(27,axiom,
! [VAR_V_71: $i] :
( ( pred_attacker @ VAR_V_71 )
=> ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_71 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).
thf(28,axiom,
pred_attacker @ constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
thf(29,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).
thf(30,axiom,
! [VAR_V_69: $i] :
( ( pred_attacker @ VAR_V_69 )
=> ( pred_attacker @ ( constr_h @ VAR_V_69 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).
thf(31,axiom,
! [VAR_V_65: $i,VAR_V_66: $i] :
( ( ( pred_attacker @ VAR_V_65 )
& ( pred_attacker @ VAR_V_66 ) )
=> ( pred_attacker @ ( constr_rotate @ VAR_V_65 @ VAR_V_66 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
thf(32,axiom,
! [VAR_V_61: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_61 ) )
=> ( pred_attacker @ VAR_V_61 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
thf(33,axiom,
! [VAR_V_58: $i] :
( ( pred_attacker @ VAR_V_58 )
=> ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_58 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
thf(34,axiom,
! [VAR_V_54: $i,VAR_V_55: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_54 @ VAR_V_55 ) )
=> ( pred_attacker @ VAR_V_55 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
thf(35,axiom,
! [VAR_V_51: $i,VAR_V_52: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_51 @ VAR_V_52 ) )
=> ( pred_attacker @ VAR_V_51 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
thf(36,axiom,
! [VAR_V_43: $i,VAR_V_44: $i] :
( ( ( pred_attacker @ VAR_V_43 )
& ( pred_attacker @ VAR_V_44 ) )
=> ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_43 @ VAR_V_44 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
thf(37,axiom,
! [VAR_V_39: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_3 @ VAR_V_39 ) )
=> ( pred_attacker @ VAR_V_39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).
thf(38,axiom,
! [VAR_V_36: $i] :
( ( pred_attacker @ VAR_V_36 )
=> ( pred_attacker @ ( tuple_sess_1_out_3 @ VAR_V_36 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).
thf(39,axiom,
! [VAR_V_34: $i] :
( ( pred_attacker @ VAR_V_34 )
=> ( pred_attacker @ ( constr_split_L @ VAR_V_34 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).
thf(40,axiom,
! [VAR_V_32: $i] :
( ( pred_attacker @ VAR_V_32 )
=> ( pred_attacker @ ( constr_split_R @ VAR_V_32 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).
thf(41,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).
thf(42,axiom,
! [VAR_V_29: $i,VAR_V_30X30: $i] :
( ( ( pred_attacker @ VAR_V_29 )
& ( pred_attacker @ VAR_V_30X30 ) )
=> ( pred_attacker @ ( constr_xor @ VAR_V_29 @ VAR_V_30X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
thf(43,axiom,
! [VAR_X_0X30: $i,VAR_Y_0X30: $i,VAR_Z_0X30: $i] :
( ( constr_xor @ VAR_X_0X30 @ ( constr_xor @ VAR_Y_0X30 @ VAR_Z_0X30 ) )
= ( constr_xor @ ( constr_xor @ VAR_X_0X30 @ VAR_Y_0X30 ) @ VAR_Z_0X30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
thf(44,axiom,
! [VAR_X_7: $i,VAR_Y_8: $i] :
( ( constr_xor @ VAR_X_7 @ VAR_Y_8 )
= ( constr_xor @ VAR_Y_8 @ VAR_X_7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
thf(45,axiom,
! [VAR_X_9: $i] :
( ( constr_xor @ VAR_X_9 @ constr_ZERO )
= VAR_X_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
thf(46,axiom,
! [VAR_X_10X30: $i] :
( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
= constr_ZERO ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
thf(47,axiom,
name_r1_s1 != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
thf(48,axiom,
name_r1 != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
thf(49,axiom,
name_r1 != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
thf(50,axiom,
name_objective != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
thf(51,axiom,
name_objective != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
thf(52,axiom,
name_objective != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
thf(53,axiom,
name_k != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
thf(54,axiom,
name_k != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
thf(55,axiom,
name_k != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
thf(56,axiom,
name_k != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
thf(57,axiom,
name_c != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(58,axiom,
name_c != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(59,axiom,
name_c != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(60,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(61,axiom,
name_c != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
thf(62,axiom,
name_ID != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
thf(63,axiom,
name_ID != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
thf(64,axiom,
name_ID != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(65,axiom,
name_ID != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(66,axiom,
name_ID != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(67,axiom,
name_ID != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(68,axiom,
constr_ZERO != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
thf(69,axiom,
constr_ZERO != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(70,axiom,
constr_ZERO != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(71,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(72,axiom,
constr_ZERO != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(73,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(74,axiom,
constr_ZERO != name_ID,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(75,axiom,
constr_QUERY != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(76,axiom,
constr_QUERY != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(77,axiom,
constr_QUERY != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(78,axiom,
constr_QUERY != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(79,axiom,
constr_QUERY != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(80,axiom,
constr_QUERY != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(81,axiom,
constr_QUERY != name_ID,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(82,axiom,
constr_QUERY != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(83,axiom,
constr_CONST_4 != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(84,axiom,
constr_CONST_4 != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(85,axiom,
constr_CONST_4 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(86,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(87,axiom,
constr_CONST_4 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(88,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(89,axiom,
constr_CONST_4 != name_ID,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(90,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(91,axiom,
constr_CONST_4 != constr_QUERY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(92,axiom,
constr_CONST_3 != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(93,axiom,
constr_CONST_3 != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(94,axiom,
constr_CONST_3 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(95,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(96,axiom,
constr_CONST_3 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(97,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(98,axiom,
constr_CONST_3 != name_ID,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(99,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(100,axiom,
constr_CONST_3 != constr_QUERY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(101,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(102,axiom,
constr_CONST_2 != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(103,axiom,
constr_CONST_2 != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(104,axiom,
constr_CONST_2 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(105,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(106,axiom,
constr_CONST_2 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(107,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(108,axiom,
constr_CONST_2 != name_ID,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(109,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(110,axiom,
constr_CONST_2 != constr_QUERY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(111,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(112,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(113,axiom,
constr_CONST_1 != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(114,axiom,
constr_CONST_1 != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(115,axiom,
constr_CONST_1 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(116,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(117,axiom,
constr_CONST_1 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(118,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(119,axiom,
constr_CONST_1 != name_ID,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(120,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(121,axiom,
constr_CONST_1 != constr_QUERY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(122,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(123,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(124,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(125,axiom,
constr_CONST_0x30 != name_r2_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(126,axiom,
constr_CONST_0x30 != name_r1_s1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(127,axiom,
constr_CONST_0x30 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(128,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(129,axiom,
constr_CONST_0x30 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(130,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(131,axiom,
constr_CONST_0x30 != name_ID,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(132,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(133,axiom,
constr_CONST_0x30 != constr_QUERY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(134,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(135,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(136,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(137,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(138,conjecture,
pred_attacker @ name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(139,negated_conjecture,
( ( pred_attacker @ name_objective )
= $false ),
inference(negate_conjecture,[status(cth)],[138]) ).
thf(140,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(unfold_def,[status(thm)],[139]) ).
thf(141,plain,
( ( ! [VAR_R2_30X303: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_30X303 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(142,plain,
( ( ! [VAR_R2_297: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_297 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(143,plain,
( ( pred_attacker @ ( tuple_R_out_1 @ constr_QUERY @ name_r1 ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(144,plain,
( ( pred_attacker @ ( tuple_sess_1_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(145,plain,
( ( pred_attacker @ ( tuple_sess_1_out_2 @ name_r2_s1 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(146,plain,
( ( ! [VAR_X_0X30: $i,VAR_Y_0X30: $i,VAR_Z_0X30: $i] :
( ( constr_xor @ VAR_X_0X30 @ ( constr_xor @ VAR_Y_0X30 @ VAR_Z_0X30 ) )
= ( constr_xor @ ( constr_xor @ VAR_X_0X30 @ VAR_Y_0X30 ) @ VAR_Z_0X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(147,plain,
( ( ! [VAR_X_7: $i,VAR_Y_8: $i] :
( ( constr_xor @ VAR_X_7 @ VAR_Y_8 )
= ( constr_xor @ VAR_Y_8 @ VAR_X_7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(148,plain,
( ( ! [VAR_X_9: $i] :
( ( constr_xor @ VAR_X_9 @ constr_ZERO )
= VAR_X_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(149,plain,
( ( ! [VAR_X_10X30: $i] :
( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
= constr_ZERO ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(150,plain,
( ( name_r1_s1 != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(151,plain,
( ( name_r1 != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(152,plain,
( ( name_r1 != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(153,plain,
( ( name_k != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(154,plain,
( ( name_k != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(155,plain,
( ( name_k != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(156,plain,
( ( name_c != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(157,plain,
( ( name_c != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(158,plain,
( ( name_c != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(159,plain,
( ( name_c != name_k )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(160,plain,
( ( name_ID != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(161,plain,
( ( name_ID != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(162,plain,
( ( name_ID != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(163,plain,
( ( name_ID != name_k )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(164,plain,
( ( name_ID != name_c )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(165,plain,
( ( constr_ZERO != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(166,plain,
( ( constr_ZERO != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(167,plain,
( ( constr_ZERO != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(168,plain,
( ( constr_ZERO != name_k )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(169,plain,
( ( constr_ZERO != name_c )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(170,plain,
( ( constr_ZERO != name_ID )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(171,plain,
( ( constr_QUERY != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(172,plain,
( ( constr_QUERY != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(173,plain,
( ( constr_QUERY != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(174,plain,
( ( constr_QUERY != name_k )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(175,plain,
( ( constr_QUERY != name_c )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(176,plain,
( ( constr_QUERY != name_ID )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(177,plain,
( ( constr_QUERY != constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(178,plain,
( ( constr_CONST_4 != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(179,plain,
( ( constr_CONST_4 != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(180,plain,
( ( constr_CONST_4 != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(181,plain,
( ( constr_CONST_4 != name_k )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(182,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(183,plain,
( ( constr_CONST_4 != name_ID )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(184,plain,
( ( constr_CONST_4 != constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(185,plain,
( ( constr_CONST_4 != constr_QUERY )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(186,plain,
( ( constr_CONST_3 != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(187,plain,
( ( constr_CONST_3 != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(188,plain,
( ( constr_CONST_3 != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(189,plain,
( ( constr_CONST_3 != name_k )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(190,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(191,plain,
( ( constr_CONST_3 != name_ID )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(192,plain,
( ( constr_CONST_3 != constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(193,plain,
( ( constr_CONST_3 != constr_QUERY )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(194,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(195,plain,
( ( constr_CONST_2 != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(196,plain,
( ( constr_CONST_2 != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(197,plain,
( ( constr_CONST_2 != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(198,plain,
( ( constr_CONST_2 != name_k )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(199,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(200,plain,
( ( constr_CONST_2 != name_ID )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(201,plain,
( ( constr_CONST_2 != constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(202,plain,
( ( constr_CONST_2 != constr_QUERY )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(203,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(204,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(205,plain,
( ( constr_CONST_1 != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(206,plain,
( ( constr_CONST_1 != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(207,plain,
( ( constr_CONST_1 != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(208,plain,
( ( constr_CONST_1 != name_k )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(209,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(210,plain,
( ( constr_CONST_1 != name_ID )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(211,plain,
( ( constr_CONST_1 != constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(212,plain,
( ( constr_CONST_1 != constr_QUERY )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(213,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(214,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(215,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(216,plain,
( ( constr_CONST_0x30 != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(217,plain,
( ( constr_CONST_0x30 != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(218,plain,
( ( constr_CONST_0x30 != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(219,plain,
( ( constr_CONST_0x30 != name_k )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(220,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(221,plain,
( ( constr_CONST_0x30 != name_ID )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(222,plain,
( ( constr_CONST_0x30 != constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(223,plain,
( ( constr_CONST_0x30 != constr_QUERY )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(224,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(225,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(226,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(227,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(228,plain,
( ( pred_attacker @ ( tuple_sess_1_out_1 @ name_r1_s1 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(229,plain,
( ( ! [VAR_V_124: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_124 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(230,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(231,plain,
( ( ! [VAR_V_120X30: $i,VAR_V_121: $i] :
( ( ( pred_attacker @ VAR_V_121 )
& ( pred_attacker @ VAR_V_120X30 ) )
=> ( pred_mess @ VAR_V_121 @ VAR_V_120X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(232,plain,
( ( ! [VAR_V_118: $i,VAR_V_119: $i] :
( ( ( pred_mess @ VAR_V_119 @ VAR_V_118 )
& ( pred_attacker @ VAR_V_119 ) )
=> ( pred_attacker @ VAR_V_118 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(233,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(234,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(235,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(236,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(237,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(238,plain,
( ( pred_attacker @ constr_QUERY )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(239,plain,
( ( ! [VAR_V_111: $i,VAR_V_112: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_111 @ VAR_V_112 ) )
=> ( pred_attacker @ VAR_V_112 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(240,plain,
( ( ! [VAR_V_10X308: $i,VAR_V_10X309: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X308 @ VAR_V_10X309 ) )
=> ( pred_attacker @ VAR_V_10X308 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(241,plain,
( ( ! [VAR_V_10X300X30: $i,VAR_V_10X301: $i] :
( ( ( pred_attacker @ VAR_V_10X300X30 )
& ( pred_attacker @ VAR_V_10X301 ) )
=> ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X300X30 @ VAR_V_10X301 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(242,plain,
( ( ! [VAR_V_95: $i,VAR_V_96: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_95 @ VAR_V_96 ) )
=> ( pred_attacker @ VAR_V_96 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(243,plain,
( ( ! [VAR_V_92: $i,VAR_V_93: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_92 @ VAR_V_93 ) )
=> ( pred_attacker @ VAR_V_92 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(244,plain,
( ( ! [VAR_V_84: $i,VAR_V_85: $i] :
( ( ( pred_attacker @ VAR_V_84 )
& ( pred_attacker @ VAR_V_85 ) )
=> ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_84 @ VAR_V_85 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(245,plain,
( ( ! [VAR_V_80X30: $i] :
( ( pred_attacker @ ( tuple_R_out_3 @ VAR_V_80X30 ) )
=> ( pred_attacker @ VAR_V_80X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(246,plain,
( ( ! [VAR_V_77: $i] :
( ( pred_attacker @ VAR_V_77 )
=> ( pred_attacker @ ( tuple_R_out_3 @ VAR_V_77 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(247,plain,
( ( ! [VAR_V_74: $i] :
( ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_74 ) )
=> ( pred_attacker @ VAR_V_74 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(248,plain,
( ( ! [VAR_V_71: $i] :
( ( pred_attacker @ VAR_V_71 )
=> ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_71 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(249,plain,
( ( pred_attacker @ constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(250,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(251,plain,
( ( ! [VAR_V_69: $i] :
( ( pred_attacker @ VAR_V_69 )
=> ( pred_attacker @ ( constr_h @ VAR_V_69 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(252,plain,
( ( ! [VAR_V_65: $i,VAR_V_66: $i] :
( ( ( pred_attacker @ VAR_V_65 )
& ( pred_attacker @ VAR_V_66 ) )
=> ( pred_attacker @ ( constr_rotate @ VAR_V_65 @ VAR_V_66 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(253,plain,
( ( ! [VAR_V_61: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_61 ) )
=> ( pred_attacker @ VAR_V_61 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(254,plain,
( ( ! [VAR_V_58: $i] :
( ( pred_attacker @ VAR_V_58 )
=> ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_58 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(255,plain,
( ( ! [VAR_V_54: $i,VAR_V_55: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_54 @ VAR_V_55 ) )
=> ( pred_attacker @ VAR_V_55 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(256,plain,
( ( ! [VAR_V_51: $i,VAR_V_52: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_51 @ VAR_V_52 ) )
=> ( pred_attacker @ VAR_V_51 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(257,plain,
( ( ! [VAR_V_43: $i,VAR_V_44: $i] :
( ( ( pred_attacker @ VAR_V_43 )
& ( pred_attacker @ VAR_V_44 ) )
=> ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_43 @ VAR_V_44 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(258,plain,
( ( ! [VAR_V_39: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_3 @ VAR_V_39 ) )
=> ( pred_attacker @ VAR_V_39 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(259,plain,
( ( ! [VAR_V_36: $i] :
( ( pred_attacker @ VAR_V_36 )
=> ( pred_attacker @ ( tuple_sess_1_out_3 @ VAR_V_36 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(260,plain,
( ( ! [VAR_V_34: $i] :
( ( pred_attacker @ VAR_V_34 )
=> ( pred_attacker @ ( constr_split_L @ VAR_V_34 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(261,plain,
( ( ! [VAR_V_32: $i] :
( ( pred_attacker @ VAR_V_32 )
=> ( pred_attacker @ ( constr_split_R @ VAR_V_32 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(262,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(263,plain,
( ( ! [VAR_V_29: $i,VAR_V_30X30: $i] :
( ( ( pred_attacker @ VAR_V_29 )
& ( pred_attacker @ VAR_V_30X30 ) )
=> ( pred_attacker @ ( constr_xor @ VAR_V_29 @ VAR_V_30X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(264,plain,
( ( name_objective != name_r2_s1 )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(265,plain,
( ( name_objective != name_r1_s1 )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(266,plain,
( ( name_objective != name_r1 )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(267,plain,
( ( name_k != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(268,plain,
( ( name_c != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(269,plain,
( ( name_ID != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(270,plain,
( ( constr_ZERO != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(271,plain,
( ( constr_QUERY != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(272,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(273,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(274,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(275,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(276,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(277,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(polarity_switch,[status(thm)],[140]) ).
thf(278,plain,
( ( ! [VAR_R2_30X303: $i] :
~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_30X303 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) ) ) )
| ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[141]) ).
thf(279,plain,
( ( ! [VAR_R2_297: $i] :
( ~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_297 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) ) ) )
| ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[142]) ).
thf(280,plain,
( ( name_r1_s1 != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[150]) ).
thf(281,plain,
( ( name_r1 != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[151]) ).
thf(282,plain,
( ( name_r1 != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[152]) ).
thf(283,plain,
( ( name_k != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[153]) ).
thf(284,plain,
( ( name_k != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[154]) ).
thf(285,plain,
( ( name_k != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[155]) ).
thf(286,plain,
( ( name_c != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[156]) ).
thf(287,plain,
( ( name_c != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[157]) ).
thf(288,plain,
( ( name_c != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[158]) ).
thf(289,plain,
( ( name_c != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[159]) ).
thf(290,plain,
( ( name_ID != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[160]) ).
thf(291,plain,
( ( name_ID != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[161]) ).
thf(292,plain,
( ( name_ID != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[162]) ).
thf(293,plain,
( ( name_ID != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(294,plain,
( ( name_ID != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[164]) ).
thf(295,plain,
( ( constr_ZERO != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[165]) ).
thf(296,plain,
( ( constr_ZERO != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[166]) ).
thf(297,plain,
( ( constr_ZERO != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[167]) ).
thf(298,plain,
( ( constr_ZERO != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[168]) ).
thf(299,plain,
( ( constr_ZERO != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[169]) ).
thf(300,plain,
( ( constr_ZERO != name_ID )
= $true ),
inference(extcnf_combined,[status(esa)],[170]) ).
thf(301,plain,
( ( constr_QUERY != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[171]) ).
thf(302,plain,
( ( constr_QUERY != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[172]) ).
thf(303,plain,
( ( constr_QUERY != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[173]) ).
thf(304,plain,
( ( constr_QUERY != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[174]) ).
thf(305,plain,
( ( constr_QUERY != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[175]) ).
thf(306,plain,
( ( constr_QUERY != name_ID )
= $true ),
inference(extcnf_combined,[status(esa)],[176]) ).
thf(307,plain,
( ( constr_QUERY != constr_ZERO )
= $true ),
inference(extcnf_combined,[status(esa)],[177]) ).
thf(308,plain,
( ( constr_CONST_4 != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[178]) ).
thf(309,plain,
( ( constr_CONST_4 != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[179]) ).
thf(310,plain,
( ( constr_CONST_4 != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[180]) ).
thf(311,plain,
( ( constr_CONST_4 != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[181]) ).
thf(312,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[182]) ).
thf(313,plain,
( ( constr_CONST_4 != name_ID )
= $true ),
inference(extcnf_combined,[status(esa)],[183]) ).
thf(314,plain,
( ( constr_CONST_4 != constr_ZERO )
= $true ),
inference(extcnf_combined,[status(esa)],[184]) ).
thf(315,plain,
( ( constr_CONST_4 != constr_QUERY )
= $true ),
inference(extcnf_combined,[status(esa)],[185]) ).
thf(316,plain,
( ( constr_CONST_3 != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[186]) ).
thf(317,plain,
( ( constr_CONST_3 != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[187]) ).
thf(318,plain,
( ( constr_CONST_3 != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[188]) ).
thf(319,plain,
( ( constr_CONST_3 != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[189]) ).
thf(320,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[190]) ).
thf(321,plain,
( ( constr_CONST_3 != name_ID )
= $true ),
inference(extcnf_combined,[status(esa)],[191]) ).
thf(322,plain,
( ( constr_CONST_3 != constr_ZERO )
= $true ),
inference(extcnf_combined,[status(esa)],[192]) ).
thf(323,plain,
( ( constr_CONST_3 != constr_QUERY )
= $true ),
inference(extcnf_combined,[status(esa)],[193]) ).
thf(324,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(extcnf_combined,[status(esa)],[194]) ).
thf(325,plain,
( ( constr_CONST_2 != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[195]) ).
thf(326,plain,
( ( constr_CONST_2 != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[196]) ).
thf(327,plain,
( ( constr_CONST_2 != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[197]) ).
thf(328,plain,
( ( constr_CONST_2 != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[198]) ).
thf(329,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[199]) ).
thf(330,plain,
( ( constr_CONST_2 != name_ID )
= $true ),
inference(extcnf_combined,[status(esa)],[200]) ).
thf(331,plain,
( ( constr_CONST_2 != constr_ZERO )
= $true ),
inference(extcnf_combined,[status(esa)],[201]) ).
thf(332,plain,
( ( constr_CONST_2 != constr_QUERY )
= $true ),
inference(extcnf_combined,[status(esa)],[202]) ).
thf(333,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(extcnf_combined,[status(esa)],[203]) ).
thf(334,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(extcnf_combined,[status(esa)],[204]) ).
thf(335,plain,
( ( constr_CONST_1 != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[205]) ).
thf(336,plain,
( ( constr_CONST_1 != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[206]) ).
thf(337,plain,
( ( constr_CONST_1 != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[207]) ).
thf(338,plain,
( ( constr_CONST_1 != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[208]) ).
thf(339,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[209]) ).
thf(340,plain,
( ( constr_CONST_1 != name_ID )
= $true ),
inference(extcnf_combined,[status(esa)],[210]) ).
thf(341,plain,
( ( constr_CONST_1 != constr_ZERO )
= $true ),
inference(extcnf_combined,[status(esa)],[211]) ).
thf(342,plain,
( ( constr_CONST_1 != constr_QUERY )
= $true ),
inference(extcnf_combined,[status(esa)],[212]) ).
thf(343,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(extcnf_combined,[status(esa)],[213]) ).
thf(344,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(extcnf_combined,[status(esa)],[214]) ).
thf(345,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(extcnf_combined,[status(esa)],[215]) ).
thf(346,plain,
( ( constr_CONST_0x30 != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[216]) ).
thf(347,plain,
( ( constr_CONST_0x30 != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[217]) ).
thf(348,plain,
( ( constr_CONST_0x30 != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[218]) ).
thf(349,plain,
( ( constr_CONST_0x30 != name_k )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(350,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(351,plain,
( ( constr_CONST_0x30 != name_ID )
= $true ),
inference(extcnf_combined,[status(esa)],[221]) ).
thf(352,plain,
( ( constr_CONST_0x30 != constr_ZERO )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(353,plain,
( ( constr_CONST_0x30 != constr_QUERY )
= $true ),
inference(extcnf_combined,[status(esa)],[223]) ).
thf(354,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(extcnf_combined,[status(esa)],[224]) ).
thf(355,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(extcnf_combined,[status(esa)],[225]) ).
thf(356,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(357,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(extcnf_combined,[status(esa)],[227]) ).
thf(358,plain,
( ( ! [VAR_V_120X30: $i,VAR_V_121: $i] :
( ~ ( pred_attacker @ VAR_V_121 )
| ~ ( pred_attacker @ VAR_V_120X30 )
| ( pred_mess @ VAR_V_121 @ VAR_V_120X30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[231]) ).
thf(359,plain,
( ( ! [VAR_V_118: $i] :
( ! [VAR_V_119: $i] :
( ~ ( pred_attacker @ VAR_V_119 )
| ~ ( pred_mess @ VAR_V_119 @ VAR_V_118 ) )
| ( pred_attacker @ VAR_V_118 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[232]) ).
thf(360,plain,
( ( ! [VAR_V_111: $i,VAR_V_112: $i] :
( ~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_111 @ VAR_V_112 ) )
| ( pred_attacker @ VAR_V_112 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[239]) ).
thf(361,plain,
( ( ! [VAR_V_10X308: $i] :
( ! [VAR_V_10X309: $i] :
~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X308 @ VAR_V_10X309 ) )
| ( pred_attacker @ VAR_V_10X308 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[240]) ).
thf(362,plain,
( ( ! [VAR_V_10X300X30: $i,VAR_V_10X301: $i] :
( ~ ( pred_attacker @ VAR_V_10X300X30 )
| ~ ( pred_attacker @ VAR_V_10X301 )
| ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X300X30 @ VAR_V_10X301 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[241]) ).
thf(363,plain,
( ( ! [VAR_V_95: $i,VAR_V_96: $i] :
( ~ ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_95 @ VAR_V_96 ) )
| ( pred_attacker @ VAR_V_96 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[242]) ).
thf(364,plain,
( ( ! [VAR_V_92: $i] :
( ! [VAR_V_93: $i] :
~ ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_92 @ VAR_V_93 ) )
| ( pred_attacker @ VAR_V_92 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[243]) ).
thf(365,plain,
( ( ! [VAR_V_84: $i,VAR_V_85: $i] :
( ~ ( pred_attacker @ VAR_V_84 )
| ~ ( pred_attacker @ VAR_V_85 )
| ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_84 @ VAR_V_85 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[244]) ).
thf(366,plain,
( ( ! [VAR_V_80X30: $i] :
( ~ ( pred_attacker @ ( tuple_R_out_3 @ VAR_V_80X30 ) )
| ( pred_attacker @ VAR_V_80X30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[245]) ).
thf(367,plain,
( ( ! [VAR_V_77: $i] :
( ~ ( pred_attacker @ VAR_V_77 )
| ( pred_attacker @ ( tuple_R_out_3 @ VAR_V_77 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[246]) ).
thf(368,plain,
( ( ! [VAR_V_74: $i] :
( ~ ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_74 ) )
| ( pred_attacker @ VAR_V_74 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[247]) ).
thf(369,plain,
( ( ! [VAR_V_71: $i] :
( ~ ( pred_attacker @ VAR_V_71 )
| ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_71 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[248]) ).
thf(370,plain,
( ( ! [VAR_V_69: $i] :
( ~ ( pred_attacker @ VAR_V_69 )
| ( pred_attacker @ ( constr_h @ VAR_V_69 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[251]) ).
thf(371,plain,
( ( ! [VAR_V_65: $i,VAR_V_66: $i] :
( ~ ( pred_attacker @ VAR_V_65 )
| ~ ( pred_attacker @ VAR_V_66 )
| ( pred_attacker @ ( constr_rotate @ VAR_V_65 @ VAR_V_66 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[252]) ).
thf(372,plain,
( ( ! [VAR_V_61: $i] :
( ~ ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_61 ) )
| ( pred_attacker @ VAR_V_61 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[253]) ).
thf(373,plain,
( ( ! [VAR_V_58: $i] :
( ~ ( pred_attacker @ VAR_V_58 )
| ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_58 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[254]) ).
thf(374,plain,
( ( ! [VAR_V_54: $i,VAR_V_55: $i] :
( ~ ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_54 @ VAR_V_55 ) )
| ( pred_attacker @ VAR_V_55 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[255]) ).
thf(375,plain,
( ( ! [VAR_V_51: $i] :
( ! [VAR_V_52: $i] :
~ ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_51 @ VAR_V_52 ) )
| ( pred_attacker @ VAR_V_51 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[256]) ).
thf(376,plain,
( ( ! [VAR_V_43: $i,VAR_V_44: $i] :
( ~ ( pred_attacker @ VAR_V_43 )
| ~ ( pred_attacker @ VAR_V_44 )
| ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_43 @ VAR_V_44 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[257]) ).
thf(377,plain,
( ( ! [VAR_V_39: $i] :
( ~ ( pred_attacker @ ( tuple_sess_1_out_3 @ VAR_V_39 ) )
| ( pred_attacker @ VAR_V_39 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[258]) ).
thf(378,plain,
( ( ! [VAR_V_36: $i] :
( ~ ( pred_attacker @ VAR_V_36 )
| ( pred_attacker @ ( tuple_sess_1_out_3 @ VAR_V_36 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[259]) ).
thf(379,plain,
( ( ! [VAR_V_34: $i] :
( ~ ( pred_attacker @ VAR_V_34 )
| ( pred_attacker @ ( constr_split_L @ VAR_V_34 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[260]) ).
thf(380,plain,
( ( ! [VAR_V_32: $i] :
( ~ ( pred_attacker @ VAR_V_32 )
| ( pred_attacker @ ( constr_split_R @ VAR_V_32 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[261]) ).
thf(381,plain,
( ( ! [VAR_V_29: $i,VAR_V_30X30: $i] :
( ~ ( pred_attacker @ VAR_V_29 )
| ~ ( pred_attacker @ VAR_V_30X30 )
| ( pred_attacker @ ( constr_xor @ VAR_V_29 @ VAR_V_30X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[263]) ).
thf(382,plain,
( ( name_objective != name_r2_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[264]) ).
thf(383,plain,
( ( name_objective != name_r1_s1 )
= $true ),
inference(extcnf_combined,[status(esa)],[265]) ).
thf(384,plain,
( ( name_objective != name_r1 )
= $true ),
inference(extcnf_combined,[status(esa)],[266]) ).
thf(385,plain,
( ( name_k != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[267]) ).
thf(386,plain,
( ( name_c != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[268]) ).
thf(387,plain,
( ( name_ID != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[269]) ).
thf(388,plain,
( ( constr_ZERO != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[270]) ).
thf(389,plain,
( ( constr_QUERY != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[271]) ).
thf(390,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[272]) ).
thf(391,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[273]) ).
thf(392,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[274]) ).
thf(393,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[275]) ).
thf(394,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[276]) ).
thf(395,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(396,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(397,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(398,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(399,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(400,plain,
( ( constr_QUERY != name_objective )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(401,plain,
( ( constr_ZERO != name_objective )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(402,plain,
( ( name_ID != name_objective )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(403,plain,
( ( name_c != name_objective )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(404,plain,
( ( name_k != name_objective )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(405,plain,
( ( name_objective != name_r1 )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(406,plain,
( ( name_objective != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(407,plain,
( ( name_objective != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(408,plain,
( ( ! [VAR_V_29: $i,VAR_V_30X30: $i] :
( ~ ( pred_attacker @ VAR_V_29 )
| ~ ( pred_attacker @ VAR_V_30X30 )
| ( pred_attacker @ ( constr_xor @ VAR_V_29 @ VAR_V_30X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(409,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(410,plain,
( ( ! [VAR_V_32: $i] :
( ~ ( pred_attacker @ VAR_V_32 )
| ( pred_attacker @ ( constr_split_R @ VAR_V_32 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(411,plain,
( ( ! [VAR_V_34: $i] :
( ~ ( pred_attacker @ VAR_V_34 )
| ( pred_attacker @ ( constr_split_L @ VAR_V_34 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(412,plain,
( ( ! [VAR_V_36: $i] :
( ~ ( pred_attacker @ VAR_V_36 )
| ( pred_attacker @ ( tuple_sess_1_out_3 @ VAR_V_36 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(413,plain,
( ( ! [VAR_V_39: $i] :
( ~ ( pred_attacker @ ( tuple_sess_1_out_3 @ VAR_V_39 ) )
| ( pred_attacker @ VAR_V_39 ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(414,plain,
( ( ! [VAR_V_43: $i,VAR_V_44: $i] :
( ~ ( pred_attacker @ VAR_V_43 )
| ~ ( pred_attacker @ VAR_V_44 )
| ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_43 @ VAR_V_44 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(415,plain,
( ( ! [VAR_V_51: $i] :
( ! [VAR_V_52: $i] :
~ ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_51 @ VAR_V_52 ) )
| ( pred_attacker @ VAR_V_51 ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(416,plain,
( ( ! [VAR_V_54: $i,VAR_V_55: $i] :
( ~ ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_54 @ VAR_V_55 ) )
| ( pred_attacker @ VAR_V_55 ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(417,plain,
( ( ! [VAR_V_58: $i] :
( ~ ( pred_attacker @ VAR_V_58 )
| ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_58 ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(418,plain,
( ( ! [VAR_V_61: $i] :
( ~ ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_61 ) )
| ( pred_attacker @ VAR_V_61 ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(419,plain,
( ( ! [VAR_V_65: $i,VAR_V_66: $i] :
( ~ ( pred_attacker @ VAR_V_65 )
| ~ ( pred_attacker @ VAR_V_66 )
| ( pred_attacker @ ( constr_rotate @ VAR_V_65 @ VAR_V_66 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(420,plain,
( ( ! [VAR_V_69: $i] :
( ~ ( pred_attacker @ VAR_V_69 )
| ( pred_attacker @ ( constr_h @ VAR_V_69 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(421,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(422,plain,
( ( pred_attacker @ constr_ZERO )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(423,plain,
( ( ! [VAR_V_71: $i] :
( ~ ( pred_attacker @ VAR_V_71 )
| ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_71 ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(424,plain,
( ( ! [VAR_V_74: $i] :
( ~ ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_74 ) )
| ( pred_attacker @ VAR_V_74 ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(425,plain,
( ( ! [VAR_V_77: $i] :
( ~ ( pred_attacker @ VAR_V_77 )
| ( pred_attacker @ ( tuple_R_out_3 @ VAR_V_77 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(426,plain,
( ( ! [VAR_V_80X30: $i] :
( ~ ( pred_attacker @ ( tuple_R_out_3 @ VAR_V_80X30 ) )
| ( pred_attacker @ VAR_V_80X30 ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(427,plain,
( ( ! [VAR_V_84: $i,VAR_V_85: $i] :
( ~ ( pred_attacker @ VAR_V_84 )
| ~ ( pred_attacker @ VAR_V_85 )
| ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_84 @ VAR_V_85 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(428,plain,
( ( ! [VAR_V_92: $i] :
( ! [VAR_V_93: $i] :
~ ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_92 @ VAR_V_93 ) )
| ( pred_attacker @ VAR_V_92 ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(429,plain,
( ( ! [VAR_V_95: $i,VAR_V_96: $i] :
( ~ ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_95 @ VAR_V_96 ) )
| ( pred_attacker @ VAR_V_96 ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(430,plain,
( ( ! [VAR_V_10X300X30: $i,VAR_V_10X301: $i] :
( ~ ( pred_attacker @ VAR_V_10X300X30 )
| ~ ( pred_attacker @ VAR_V_10X301 )
| ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X300X30 @ VAR_V_10X301 ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(431,plain,
( ( ! [VAR_V_10X308: $i] :
( ! [VAR_V_10X309: $i] :
~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X308 @ VAR_V_10X309 ) )
| ( pred_attacker @ VAR_V_10X308 ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(432,plain,
( ( ! [VAR_V_111: $i,VAR_V_112: $i] :
( ~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_111 @ VAR_V_112 ) )
| ( pred_attacker @ VAR_V_112 ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(433,plain,
( ( pred_attacker @ constr_QUERY )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(434,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(435,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(436,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(437,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(438,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(439,plain,
( ( ! [VAR_V_118: $i] :
( ! [VAR_V_119: $i] :
( ~ ( pred_attacker @ VAR_V_119 )
| ~ ( pred_mess @ VAR_V_119 @ VAR_V_118 ) )
| ( pred_attacker @ VAR_V_118 ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(440,plain,
( ( ! [VAR_V_120X30: $i,VAR_V_121: $i] :
( ~ ( pred_attacker @ VAR_V_121 )
| ~ ( pred_attacker @ VAR_V_120X30 )
| ( pred_mess @ VAR_V_121 @ VAR_V_120X30 ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(441,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(442,plain,
( ( ! [VAR_V_124: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_124 ) ) )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(443,plain,
( ( pred_attacker @ ( tuple_sess_1_out_1 @ name_r1_s1 ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(444,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(445,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(446,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(447,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(448,plain,
( ( constr_CONST_0x30 != constr_QUERY )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(449,plain,
( ( constr_CONST_0x30 != constr_ZERO )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(450,plain,
( ( constr_CONST_0x30 != name_ID )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(451,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(452,plain,
( ( constr_CONST_0x30 != name_k )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(453,plain,
( ( constr_CONST_0x30 != name_r1 )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(454,plain,
( ( constr_CONST_0x30 != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(455,plain,
( ( constr_CONST_0x30 != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(456,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(457,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(458,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(459,plain,
( ( constr_CONST_1 != constr_QUERY )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(460,plain,
( ( constr_CONST_1 != constr_ZERO )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(461,plain,
( ( constr_CONST_1 != name_ID )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(462,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(463,plain,
( ( constr_CONST_1 != name_k )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(464,plain,
( ( constr_CONST_1 != name_r1 )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(465,plain,
( ( constr_CONST_1 != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(466,plain,
( ( constr_CONST_1 != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(467,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(468,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(469,plain,
( ( constr_CONST_2 != constr_QUERY )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(470,plain,
( ( constr_CONST_2 != constr_ZERO )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(471,plain,
( ( constr_CONST_2 != name_ID )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(472,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(473,plain,
( ( constr_CONST_2 != name_k )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(474,plain,
( ( constr_CONST_2 != name_r1 )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(475,plain,
( ( constr_CONST_2 != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(476,plain,
( ( constr_CONST_2 != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(477,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(478,plain,
( ( constr_CONST_3 != constr_QUERY )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(479,plain,
( ( constr_CONST_3 != constr_ZERO )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(480,plain,
( ( constr_CONST_3 != name_ID )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(481,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(482,plain,
( ( constr_CONST_3 != name_k )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(483,plain,
( ( constr_CONST_3 != name_r1 )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(484,plain,
( ( constr_CONST_3 != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(485,plain,
( ( constr_CONST_3 != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(486,plain,
( ( constr_CONST_4 != constr_QUERY )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(487,plain,
( ( constr_CONST_4 != constr_ZERO )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(488,plain,
( ( constr_CONST_4 != name_ID )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(489,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(490,plain,
( ( constr_CONST_4 != name_k )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(491,plain,
( ( constr_CONST_4 != name_r1 )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(492,plain,
( ( constr_CONST_4 != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(493,plain,
( ( constr_CONST_4 != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(494,plain,
( ( constr_QUERY != constr_ZERO )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(495,plain,
( ( constr_QUERY != name_ID )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(496,plain,
( ( constr_QUERY != name_c )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(497,plain,
( ( constr_QUERY != name_k )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(498,plain,
( ( constr_QUERY != name_r1 )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(499,plain,
( ( constr_QUERY != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(500,plain,
( ( constr_QUERY != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(501,plain,
( ( constr_ZERO != name_ID )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(502,plain,
( ( constr_ZERO != name_c )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(503,plain,
( ( constr_ZERO != name_k )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(504,plain,
( ( constr_ZERO != name_r1 )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(505,plain,
( ( constr_ZERO != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(506,plain,
( ( constr_ZERO != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(507,plain,
( ( name_ID != name_c )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(508,plain,
( ( name_ID != name_k )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(509,plain,
( ( name_ID != name_r1 )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(510,plain,
( ( name_ID != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(511,plain,
( ( name_ID != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(512,plain,
( ( name_c != name_k )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(513,plain,
( ( name_c != name_r1 )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(514,plain,
( ( name_c != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(515,plain,
( ( name_c != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(516,plain,
( ( name_k != name_r1 )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(517,plain,
( ( name_k != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(518,plain,
( ( name_k != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(519,plain,
( ( name_r1 != name_r1_s1 )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(520,plain,
( ( name_r1 != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(521,plain,
( ( name_r1_s1 != name_r2_s1 )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(522,plain,
( ( ! [VAR_X_10X30: $i] :
( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
= constr_ZERO ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(523,plain,
( ( ! [VAR_X_9: $i] :
( ( constr_xor @ VAR_X_9 @ constr_ZERO )
= VAR_X_9 ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(524,plain,
( ( ! [VAR_X_7: $i,VAR_Y_8: $i] :
( ( constr_xor @ VAR_X_7 @ VAR_Y_8 )
= ( constr_xor @ VAR_Y_8 @ VAR_X_7 ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(525,plain,
( ( ! [VAR_X_0X30: $i,VAR_Y_0X30: $i,VAR_Z_0X30: $i] :
( ( constr_xor @ VAR_X_0X30 @ ( constr_xor @ VAR_Y_0X30 @ VAR_Z_0X30 ) )
= ( constr_xor @ ( constr_xor @ VAR_X_0X30 @ VAR_Y_0X30 ) @ VAR_Z_0X30 ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(526,plain,
( ( pred_attacker @ ( tuple_sess_1_out_2 @ name_r2_s1 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(527,plain,
( ( pred_attacker @ ( tuple_sess_1_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(528,plain,
( ( pred_attacker @ ( tuple_R_out_1 @ constr_QUERY @ name_r1 ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(529,plain,
( ( ! [VAR_R2_297: $i] :
( ~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_297 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) ) ) )
| ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_297 ) @ name_k ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(530,plain,
( ( ! [VAR_R2_30X303: $i] :
~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_30X303 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) ) ) )
| ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(531,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(532,plain,
( ( constr_CONST_0x30 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(533,plain,
( ( constr_CONST_1 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(534,plain,
( ( constr_CONST_2 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(535,plain,
( ( constr_CONST_3 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(536,plain,
( ( constr_CONST_4 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(537,plain,
( ( constr_QUERY = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(538,plain,
( ( constr_ZERO = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(539,plain,
( ( name_ID = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(540,plain,
( ( name_c = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(541,plain,
( ( name_k = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(542,plain,
( ( name_objective = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(543,plain,
( ( name_objective = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(544,plain,
( ( name_objective = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(545,plain,
! [SV1: $i] :
( ( ! [SY47: $i] :
( ~ ( pred_attacker @ SV1 )
| ~ ( pred_attacker @ SY47 )
| ( pred_attacker @ ( constr_xor @ SV1 @ SY47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(546,plain,
! [SV2: $i] :
( ( ~ ( pred_attacker @ SV2 )
| ( pred_attacker @ ( constr_split_R @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(547,plain,
! [SV3: $i] :
( ( ~ ( pred_attacker @ SV3 )
| ( pred_attacker @ ( constr_split_L @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(548,plain,
! [SV4: $i] :
( ( ~ ( pred_attacker @ SV4 )
| ( pred_attacker @ ( tuple_sess_1_out_3 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(549,plain,
! [SV5: $i] :
( ( ~ ( pred_attacker @ ( tuple_sess_1_out_3 @ SV5 ) )
| ( pred_attacker @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(550,plain,
! [SV6: $i] :
( ( ! [SY48: $i] :
( ~ ( pred_attacker @ SV6 )
| ~ ( pred_attacker @ SY48 )
| ( pred_attacker @ ( tuple_sess_1_out_2 @ SV6 @ SY48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(551,plain,
! [SV7: $i] :
( ( ! [SY49: $i] :
~ ( pred_attacker @ ( tuple_sess_1_out_2 @ SV7 @ SY49 ) )
| ( pred_attacker @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(552,plain,
! [SV8: $i] :
( ( ! [SY50: $i] :
( ~ ( pred_attacker @ ( tuple_sess_1_out_2 @ SV8 @ SY50 ) )
| ( pred_attacker @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(553,plain,
! [SV9: $i] :
( ( ~ ( pred_attacker @ SV9 )
| ( pred_attacker @ ( tuple_sess_1_out_1 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(554,plain,
! [SV10: $i] :
( ( ~ ( pred_attacker @ ( tuple_sess_1_out_1 @ SV10 ) )
| ( pred_attacker @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(555,plain,
! [SV11: $i] :
( ( ! [SY51: $i] :
( ~ ( pred_attacker @ SV11 )
| ~ ( pred_attacker @ SY51 )
| ( pred_attacker @ ( constr_rotate @ SV11 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(556,plain,
! [SV12: $i] :
( ( ~ ( pred_attacker @ SV12 )
| ( pred_attacker @ ( constr_h @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(557,plain,
! [SV13: $i] :
( ( ~ ( pred_attacker @ SV13 )
| ( pred_attacker @ ( tuple_R_out_4 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(558,plain,
! [SV14: $i] :
( ( ~ ( pred_attacker @ ( tuple_R_out_4 @ SV14 ) )
| ( pred_attacker @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(559,plain,
! [SV15: $i] :
( ( ~ ( pred_attacker @ SV15 )
| ( pred_attacker @ ( tuple_R_out_3 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(560,plain,
! [SV16: $i] :
( ( ~ ( pred_attacker @ ( tuple_R_out_3 @ SV16 ) )
| ( pred_attacker @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(561,plain,
! [SV17: $i] :
( ( ! [SY52: $i] :
( ~ ( pred_attacker @ SV17 )
| ~ ( pred_attacker @ SY52 )
| ( pred_attacker @ ( tuple_R_out_1 @ SV17 @ SY52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(562,plain,
! [SV18: $i] :
( ( ! [SY53: $i] :
~ ( pred_attacker @ ( tuple_R_out_1 @ SV18 @ SY53 ) )
| ( pred_attacker @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(563,plain,
! [SV19: $i] :
( ( ! [SY54: $i] :
( ~ ( pred_attacker @ ( tuple_R_out_1 @ SV19 @ SY54 ) )
| ( pred_attacker @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(564,plain,
! [SV20: $i] :
( ( ! [SY55: $i] :
( ~ ( pred_attacker @ SV20 )
| ~ ( pred_attacker @ SY55 )
| ( pred_attacker @ ( tuple_R_in_2 @ SV20 @ SY55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(565,plain,
! [SV21: $i] :
( ( ! [SY56: $i] :
~ ( pred_attacker @ ( tuple_R_in_2 @ SV21 @ SY56 ) )
| ( pred_attacker @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(566,plain,
! [SV22: $i] :
( ( ! [SY57: $i] :
( ~ ( pred_attacker @ ( tuple_R_in_2 @ SV22 @ SY57 ) )
| ( pred_attacker @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(567,plain,
! [SV23: $i] :
( ( ! [SY58: $i] :
( ~ ( pred_attacker @ SY58 )
| ~ ( pred_mess @ SY58 @ SV23 ) )
| ( pred_attacker @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(568,plain,
! [SV24: $i] :
( ( ! [SY59: $i] :
( ~ ( pred_attacker @ SY59 )
| ~ ( pred_attacker @ SV24 )
| ( pred_mess @ SY59 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(569,plain,
! [SV25: $i] :
( ( pred_attacker @ ( name_new0x2Dname @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(570,plain,
( ( constr_CONST_0x30 = constr_CONST_1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(571,plain,
( ( constr_CONST_0x30 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(572,plain,
( ( constr_CONST_0x30 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(573,plain,
( ( constr_CONST_0x30 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(574,plain,
( ( constr_CONST_0x30 = constr_QUERY )
= $false ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(575,plain,
( ( constr_CONST_0x30 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(576,plain,
( ( constr_CONST_0x30 = name_ID )
= $false ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(577,plain,
( ( constr_CONST_0x30 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(578,plain,
( ( constr_CONST_0x30 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(579,plain,
( ( constr_CONST_0x30 = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(580,plain,
( ( constr_CONST_0x30 = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(581,plain,
( ( constr_CONST_0x30 = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(582,plain,
( ( constr_CONST_1 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(583,plain,
( ( constr_CONST_1 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(584,plain,
( ( constr_CONST_1 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(585,plain,
( ( constr_CONST_1 = constr_QUERY )
= $false ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(586,plain,
( ( constr_CONST_1 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(587,plain,
( ( constr_CONST_1 = name_ID )
= $false ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(588,plain,
( ( constr_CONST_1 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(589,plain,
( ( constr_CONST_1 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(590,plain,
( ( constr_CONST_1 = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(591,plain,
( ( constr_CONST_1 = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(592,plain,
( ( constr_CONST_1 = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(593,plain,
( ( constr_CONST_2 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(594,plain,
( ( constr_CONST_2 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(595,plain,
( ( constr_CONST_2 = constr_QUERY )
= $false ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(596,plain,
( ( constr_CONST_2 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(597,plain,
( ( constr_CONST_2 = name_ID )
= $false ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(598,plain,
( ( constr_CONST_2 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(599,plain,
( ( constr_CONST_2 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(600,plain,
( ( constr_CONST_2 = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(601,plain,
( ( constr_CONST_2 = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(602,plain,
( ( constr_CONST_2 = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(603,plain,
( ( constr_CONST_3 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(604,plain,
( ( constr_CONST_3 = constr_QUERY )
= $false ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(605,plain,
( ( constr_CONST_3 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(606,plain,
( ( constr_CONST_3 = name_ID )
= $false ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(607,plain,
( ( constr_CONST_3 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(608,plain,
( ( constr_CONST_3 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(609,plain,
( ( constr_CONST_3 = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(610,plain,
( ( constr_CONST_3 = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(611,plain,
( ( constr_CONST_3 = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(612,plain,
( ( constr_CONST_4 = constr_QUERY )
= $false ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(613,plain,
( ( constr_CONST_4 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(614,plain,
( ( constr_CONST_4 = name_ID )
= $false ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(615,plain,
( ( constr_CONST_4 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(616,plain,
( ( constr_CONST_4 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(617,plain,
( ( constr_CONST_4 = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(618,plain,
( ( constr_CONST_4 = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(619,plain,
( ( constr_CONST_4 = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(620,plain,
( ( constr_QUERY = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(621,plain,
( ( constr_QUERY = name_ID )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(622,plain,
( ( constr_QUERY = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(623,plain,
( ( constr_QUERY = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(624,plain,
( ( constr_QUERY = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(625,plain,
( ( constr_QUERY = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(626,plain,
( ( constr_QUERY = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(627,plain,
( ( constr_ZERO = name_ID )
= $false ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(628,plain,
( ( constr_ZERO = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(629,plain,
( ( constr_ZERO = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(630,plain,
( ( constr_ZERO = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(631,plain,
( ( constr_ZERO = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(632,plain,
( ( constr_ZERO = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(633,plain,
( ( name_ID = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(634,plain,
( ( name_ID = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(635,plain,
( ( name_ID = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(636,plain,
( ( name_ID = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(637,plain,
( ( name_ID = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(638,plain,
( ( name_c = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(639,plain,
( ( name_c = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(640,plain,
( ( name_c = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(641,plain,
( ( name_c = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(642,plain,
( ( name_k = name_r1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(643,plain,
( ( name_k = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(644,plain,
( ( name_k = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(645,plain,
( ( name_r1 = name_r1_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(646,plain,
( ( name_r1 = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(647,plain,
( ( name_r1_s1 = name_r2_s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(648,plain,
! [SV26: $i] :
( ( ( constr_xor @ SV26 @ SV26 )
= constr_ZERO )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(649,plain,
! [SV27: $i] :
( ( ( constr_xor @ SV27 @ constr_ZERO )
= SV27 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(650,plain,
! [SV28: $i] :
( ( ! [SY60: $i] :
( ( constr_xor @ SV28 @ SY60 )
= ( constr_xor @ SY60 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(651,plain,
! [SV29: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ( constr_xor @ SV29 @ ( constr_xor @ SY61 @ SY62 ) )
= ( constr_xor @ ( constr_xor @ SV29 @ SY61 ) @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(652,plain,
! [SV30: $i] :
( ( ~ ( pred_attacker @ ( tuple_R_in_2 @ SV30 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) ) ) )
| ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(653,plain,
( ( ( ! [VAR_R2_30X303: $i] :
~ ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_30X303 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(654,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(655,plain,
! [SV31: $i,SV1: $i] :
( ( ~ ( pred_attacker @ SV1 )
| ~ ( pred_attacker @ SV31 )
| ( pred_attacker @ ( constr_xor @ SV1 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(656,plain,
! [SV2: $i] :
( ( ( ~ ( pred_attacker @ SV2 ) )
= $true )
| ( ( pred_attacker @ ( constr_split_R @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(657,plain,
! [SV3: $i] :
( ( ( ~ ( pred_attacker @ SV3 ) )
= $true )
| ( ( pred_attacker @ ( constr_split_L @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(658,plain,
! [SV4: $i] :
( ( ( ~ ( pred_attacker @ SV4 ) )
= $true )
| ( ( pred_attacker @ ( tuple_sess_1_out_3 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(659,plain,
! [SV5: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_sess_1_out_3 @ SV5 ) ) )
= $true )
| ( ( pred_attacker @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(660,plain,
! [SV32: $i,SV6: $i] :
( ( ~ ( pred_attacker @ SV6 )
| ~ ( pred_attacker @ SV32 )
| ( pred_attacker @ ( tuple_sess_1_out_2 @ SV6 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(661,plain,
! [SV7: $i] :
( ( ( ! [SY49: $i] :
~ ( pred_attacker @ ( tuple_sess_1_out_2 @ SV7 @ SY49 ) ) )
= $true )
| ( ( pred_attacker @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(662,plain,
! [SV33: $i,SV8: $i] :
( ( ~ ( pred_attacker @ ( tuple_sess_1_out_2 @ SV8 @ SV33 ) )
| ( pred_attacker @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(663,plain,
! [SV9: $i] :
( ( ( ~ ( pred_attacker @ SV9 ) )
= $true )
| ( ( pred_attacker @ ( tuple_sess_1_out_1 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(664,plain,
! [SV10: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_sess_1_out_1 @ SV10 ) ) )
= $true )
| ( ( pred_attacker @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(665,plain,
! [SV34: $i,SV11: $i] :
( ( ~ ( pred_attacker @ SV11 )
| ~ ( pred_attacker @ SV34 )
| ( pred_attacker @ ( constr_rotate @ SV11 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(666,plain,
! [SV12: $i] :
( ( ( ~ ( pred_attacker @ SV12 ) )
= $true )
| ( ( pred_attacker @ ( constr_h @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(667,plain,
! [SV13: $i] :
( ( ( ~ ( pred_attacker @ SV13 ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_out_4 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(668,plain,
! [SV14: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_R_out_4 @ SV14 ) ) )
= $true )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(669,plain,
! [SV15: $i] :
( ( ( ~ ( pred_attacker @ SV15 ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_out_3 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(670,plain,
! [SV16: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_R_out_3 @ SV16 ) ) )
= $true )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(671,plain,
! [SV35: $i,SV17: $i] :
( ( ~ ( pred_attacker @ SV17 )
| ~ ( pred_attacker @ SV35 )
| ( pred_attacker @ ( tuple_R_out_1 @ SV17 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(672,plain,
! [SV18: $i] :
( ( ( ! [SY53: $i] :
~ ( pred_attacker @ ( tuple_R_out_1 @ SV18 @ SY53 ) ) )
= $true )
| ( ( pred_attacker @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(673,plain,
! [SV36: $i,SV19: $i] :
( ( ~ ( pred_attacker @ ( tuple_R_out_1 @ SV19 @ SV36 ) )
| ( pred_attacker @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(674,plain,
! [SV37: $i,SV20: $i] :
( ( ~ ( pred_attacker @ SV20 )
| ~ ( pred_attacker @ SV37 )
| ( pred_attacker @ ( tuple_R_in_2 @ SV20 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(675,plain,
! [SV21: $i] :
( ( ( ! [SY56: $i] :
~ ( pred_attacker @ ( tuple_R_in_2 @ SV21 @ SY56 ) ) )
= $true )
| ( ( pred_attacker @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[565]) ).
thf(676,plain,
! [SV38: $i,SV22: $i] :
( ( ~ ( pred_attacker @ ( tuple_R_in_2 @ SV22 @ SV38 ) )
| ( pred_attacker @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(677,plain,
! [SV23: $i] :
( ( ( ! [SY58: $i] :
( ~ ( pred_attacker @ SY58 )
| ~ ( pred_mess @ SY58 @ SV23 ) ) )
= $true )
| ( ( pred_attacker @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(678,plain,
! [SV24: $i,SV39: $i] :
( ( ~ ( pred_attacker @ SV39 )
| ~ ( pred_attacker @ SV24 )
| ( pred_mess @ SV39 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(679,plain,
! [SV40: $i,SV28: $i] :
( ( ( constr_xor @ SV28 @ SV40 )
= ( constr_xor @ SV40 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(680,plain,
! [SV41: $i,SV29: $i] :
( ( ! [SY63: $i] :
( ( constr_xor @ SV29 @ ( constr_xor @ SV41 @ SY63 ) )
= ( constr_xor @ ( constr_xor @ SV29 @ SV41 ) @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(681,plain,
! [SV30: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_R_in_2 @ SV30 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(682,plain,
! [SV42: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_R_in_2 @ SV42 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV42 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV42 ) @ name_k ) ) ) ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(683,plain,
! [SV31: $i,SV1: $i] :
( ( ( ~ ( pred_attacker @ SV1 )
| ~ ( pred_attacker @ SV31 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV1 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(684,plain,
! [SV2: $i] :
( ( ( pred_attacker @ SV2 )
= $false )
| ( ( pred_attacker @ ( constr_split_R @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(685,plain,
! [SV3: $i] :
( ( ( pred_attacker @ SV3 )
= $false )
| ( ( pred_attacker @ ( constr_split_L @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(686,plain,
! [SV4: $i] :
( ( ( pred_attacker @ SV4 )
= $false )
| ( ( pred_attacker @ ( tuple_sess_1_out_3 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(687,plain,
! [SV5: $i] :
( ( ( pred_attacker @ ( tuple_sess_1_out_3 @ SV5 ) )
= $false )
| ( ( pred_attacker @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(688,plain,
! [SV32: $i,SV6: $i] :
( ( ( ~ ( pred_attacker @ SV6 )
| ~ ( pred_attacker @ SV32 ) )
= $true )
| ( ( pred_attacker @ ( tuple_sess_1_out_2 @ SV6 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(689,plain,
! [SV43: $i,SV7: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_sess_1_out_2 @ SV7 @ SV43 ) ) )
= $true )
| ( ( pred_attacker @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(690,plain,
! [SV33: $i,SV8: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_sess_1_out_2 @ SV8 @ SV33 ) ) )
= $true )
| ( ( pred_attacker @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(691,plain,
! [SV9: $i] :
( ( ( pred_attacker @ SV9 )
= $false )
| ( ( pred_attacker @ ( tuple_sess_1_out_1 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(692,plain,
! [SV10: $i] :
( ( ( pred_attacker @ ( tuple_sess_1_out_1 @ SV10 ) )
= $false )
| ( ( pred_attacker @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(693,plain,
! [SV34: $i,SV11: $i] :
( ( ( ~ ( pred_attacker @ SV11 )
| ~ ( pred_attacker @ SV34 ) )
= $true )
| ( ( pred_attacker @ ( constr_rotate @ SV11 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(694,plain,
! [SV12: $i] :
( ( ( pred_attacker @ SV12 )
= $false )
| ( ( pred_attacker @ ( constr_h @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(695,plain,
! [SV13: $i] :
( ( ( pred_attacker @ SV13 )
= $false )
| ( ( pred_attacker @ ( tuple_R_out_4 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(696,plain,
! [SV14: $i] :
( ( ( pred_attacker @ ( tuple_R_out_4 @ SV14 ) )
= $false )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(697,plain,
! [SV15: $i] :
( ( ( pred_attacker @ SV15 )
= $false )
| ( ( pred_attacker @ ( tuple_R_out_3 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(698,plain,
! [SV16: $i] :
( ( ( pred_attacker @ ( tuple_R_out_3 @ SV16 ) )
= $false )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(699,plain,
! [SV35: $i,SV17: $i] :
( ( ( ~ ( pred_attacker @ SV17 )
| ~ ( pred_attacker @ SV35 ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_out_1 @ SV17 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(700,plain,
! [SV44: $i,SV18: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_R_out_1 @ SV18 @ SV44 ) ) )
= $true )
| ( ( pred_attacker @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(701,plain,
! [SV36: $i,SV19: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_R_out_1 @ SV19 @ SV36 ) ) )
= $true )
| ( ( pred_attacker @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(702,plain,
! [SV37: $i,SV20: $i] :
( ( ( ~ ( pred_attacker @ SV20 )
| ~ ( pred_attacker @ SV37 ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_in_2 @ SV20 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(703,plain,
! [SV45: $i,SV21: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_R_in_2 @ SV21 @ SV45 ) ) )
= $true )
| ( ( pred_attacker @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(704,plain,
! [SV38: $i,SV22: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_R_in_2 @ SV22 @ SV38 ) ) )
= $true )
| ( ( pred_attacker @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(705,plain,
! [SV23: $i,SV46: $i] :
( ( ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_mess @ SV46 @ SV23 ) )
= $true )
| ( ( pred_attacker @ SV23 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(706,plain,
! [SV24: $i,SV39: $i] :
( ( ( ~ ( pred_attacker @ SV39 )
| ~ ( pred_attacker @ SV24 ) )
= $true )
| ( ( pred_mess @ SV39 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(707,plain,
! [SV47: $i,SV41: $i,SV29: $i] :
( ( ( constr_xor @ SV29 @ ( constr_xor @ SV41 @ SV47 ) )
= ( constr_xor @ ( constr_xor @ SV29 @ SV41 ) @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(708,plain,
! [SV30: $i] :
( ( ( pred_attacker @ ( tuple_R_in_2 @ SV30 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV30 ) @ name_k ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(709,plain,
! [SV42: $i] :
( ( ( pred_attacker @ ( tuple_R_in_2 @ SV42 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV42 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ SV42 ) @ name_k ) ) ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(710,plain,
! [SV31: $i,SV1: $i] :
( ( ( ~ ( pred_attacker @ SV1 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV31 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV1 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(711,plain,
! [SV32: $i,SV6: $i] :
( ( ( ~ ( pred_attacker @ SV6 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV32 ) )
= $true )
| ( ( pred_attacker @ ( tuple_sess_1_out_2 @ SV6 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(712,plain,
! [SV43: $i,SV7: $i] :
( ( ( pred_attacker @ ( tuple_sess_1_out_2 @ SV7 @ SV43 ) )
= $false )
| ( ( pred_attacker @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(713,plain,
! [SV33: $i,SV8: $i] :
( ( ( pred_attacker @ ( tuple_sess_1_out_2 @ SV8 @ SV33 ) )
= $false )
| ( ( pred_attacker @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(714,plain,
! [SV34: $i,SV11: $i] :
( ( ( ~ ( pred_attacker @ SV11 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV34 ) )
= $true )
| ( ( pred_attacker @ ( constr_rotate @ SV11 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(715,plain,
! [SV35: $i,SV17: $i] :
( ( ( ~ ( pred_attacker @ SV17 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV35 ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_out_1 @ SV17 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(716,plain,
! [SV44: $i,SV18: $i] :
( ( ( pred_attacker @ ( tuple_R_out_1 @ SV18 @ SV44 ) )
= $false )
| ( ( pred_attacker @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(717,plain,
! [SV36: $i,SV19: $i] :
( ( ( pred_attacker @ ( tuple_R_out_1 @ SV19 @ SV36 ) )
= $false )
| ( ( pred_attacker @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(718,plain,
! [SV37: $i,SV20: $i] :
( ( ( ~ ( pred_attacker @ SV20 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV37 ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_in_2 @ SV20 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(719,plain,
! [SV45: $i,SV21: $i] :
( ( ( pred_attacker @ ( tuple_R_in_2 @ SV21 @ SV45 ) )
= $false )
| ( ( pred_attacker @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(720,plain,
! [SV38: $i,SV22: $i] :
( ( ( pred_attacker @ ( tuple_R_in_2 @ SV22 @ SV38 ) )
= $false )
| ( ( pred_attacker @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(721,plain,
! [SV23: $i,SV46: $i] :
( ( ( ~ ( pred_attacker @ SV46 ) )
= $true )
| ( ( ~ ( pred_mess @ SV46 @ SV23 ) )
= $true )
| ( ( pred_attacker @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(722,plain,
! [SV24: $i,SV39: $i] :
( ( ( ~ ( pred_attacker @ SV39 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV24 ) )
= $true )
| ( ( pred_mess @ SV39 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(723,plain,
! [SV31: $i,SV1: $i] :
( ( ( pred_attacker @ SV1 )
= $false )
| ( ( ~ ( pred_attacker @ SV31 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV1 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(724,plain,
! [SV32: $i,SV6: $i] :
( ( ( pred_attacker @ SV6 )
= $false )
| ( ( ~ ( pred_attacker @ SV32 ) )
= $true )
| ( ( pred_attacker @ ( tuple_sess_1_out_2 @ SV6 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(725,plain,
! [SV34: $i,SV11: $i] :
( ( ( pred_attacker @ SV11 )
= $false )
| ( ( ~ ( pred_attacker @ SV34 ) )
= $true )
| ( ( pred_attacker @ ( constr_rotate @ SV11 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(726,plain,
! [SV35: $i,SV17: $i] :
( ( ( pred_attacker @ SV17 )
= $false )
| ( ( ~ ( pred_attacker @ SV35 ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_out_1 @ SV17 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(727,plain,
! [SV37: $i,SV20: $i] :
( ( ( pred_attacker @ SV20 )
= $false )
| ( ( ~ ( pred_attacker @ SV37 ) )
= $true )
| ( ( pred_attacker @ ( tuple_R_in_2 @ SV20 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(728,plain,
! [SV23: $i,SV46: $i] :
( ( ( pred_attacker @ SV46 )
= $false )
| ( ( ~ ( pred_mess @ SV46 @ SV23 ) )
= $true )
| ( ( pred_attacker @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(729,plain,
! [SV24: $i,SV39: $i] :
( ( ( pred_attacker @ SV39 )
= $false )
| ( ( ~ ( pred_attacker @ SV24 ) )
= $true )
| ( ( pred_mess @ SV39 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(730,plain,
! [SV1: $i,SV31: $i] :
( ( ( pred_attacker @ SV31 )
= $false )
| ( ( pred_attacker @ SV1 )
= $false )
| ( ( pred_attacker @ ( constr_xor @ SV1 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(731,plain,
! [SV6: $i,SV32: $i] :
( ( ( pred_attacker @ SV32 )
= $false )
| ( ( pred_attacker @ SV6 )
= $false )
| ( ( pred_attacker @ ( tuple_sess_1_out_2 @ SV6 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(732,plain,
! [SV11: $i,SV34: $i] :
( ( ( pred_attacker @ SV34 )
= $false )
| ( ( pred_attacker @ SV11 )
= $false )
| ( ( pred_attacker @ ( constr_rotate @ SV11 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(733,plain,
! [SV17: $i,SV35: $i] :
( ( ( pred_attacker @ SV35 )
= $false )
| ( ( pred_attacker @ SV17 )
= $false )
| ( ( pred_attacker @ ( tuple_R_out_1 @ SV17 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(734,plain,
! [SV20: $i,SV37: $i] :
( ( ( pred_attacker @ SV37 )
= $false )
| ( ( pred_attacker @ SV20 )
= $false )
| ( ( pred_attacker @ ( tuple_R_in_2 @ SV20 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(735,plain,
! [SV23: $i,SV46: $i] :
( ( ( pred_mess @ SV46 @ SV23 )
= $false )
| ( ( pred_attacker @ SV46 )
= $false )
| ( ( pred_attacker @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(736,plain,
! [SV39: $i,SV24: $i] :
( ( ( pred_attacker @ SV24 )
= $false )
| ( ( pred_attacker @ SV39 )
= $false )
| ( ( pred_mess @ SV39 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(737,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[409,736,735,734,733,732,731,730,720,719,717,716,713,712,709,708,707,698,697,696,695,694,692,691,687,686,685,684,679,654,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,544,543,542,541,540,539,538,537,536,535,534,533,532,528,527,526,443,441,438,437,436,435,434,433,422,421]) ).
thf(738,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW952+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n002.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Oct 6 17:08:42 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 158.25/26.95
% 158.25/26.95 No.of.Axioms: 137
% 158.25/26.95
% 158.25/26.95 Length.of.Defs: 0
% 158.25/26.95
% 158.25/26.95 Contains.Choice.Funs: false
% 158.25/26.95 ............
% 158.25/26.95
% 158.25/26.95 ********************************
% 158.25/26.95 * All subproblems solved! *
% 158.25/26.95 ********************************
% 158.25/26.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:136,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:737,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 158.25/26.95
% 158.25/26.95 %**** Beginning of derivation protocol ****
% 158.25/26.95 % SZS output start CNFRefutation
% See solution above
% 158.25/26.96
% 158.25/26.96 %**** End of derivation protocol ****
% 158.25/26.96 %**** no. of clauses in derivation: 737 ****
% 158.25/26.96 %**** clause counter: 737 ****
% 158.25/26.96
% 158.25/26.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:136,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:737,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------