TSTP Solution File: SWW955+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWW955+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:51:30 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 109
% Syntax : Number of formulae : 484 ( 374 unt; 27 typ; 0 def)
% Number of atoms : 1600 ( 687 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 1365 ( 328 ~; 181 |; 12 &; 798 @)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 27 usr; 14 con; 0-2 aty)
% Number of variables : 267 ( 0 ^ 267 !; 0 ?; 267 :)
% 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_comm_dec,type,
constr_comm_dec: $i > $i > $i ).
thf(tp_constr_comm_enc,type,
constr_comm_enc: $i > $i > $i ).
thf(tp_constr_dec,type,
constr_dec: $i > $i > $i ).
thf(tp_constr_enc,type,
constr_enc: $i > $i > $i ).
thf(tp_name_Ka,type,
name_Ka: $i ).
thf(tp_name_Kb,type,
name_Kb: $i ).
thf(tp_name_c,type,
name_c: $i ).
thf(tp_name_m_9,type,
name_m_9: $i ).
thf(tp_name_new0x2Dname,type,
name_new0x2Dname: $i > $i ).
thf(tp_name_objective,type,
name_objective: $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_A_in_2,type,
tuple_A_in_2: $i > $i ).
thf(tp_tuple_A_out_1,type,
tuple_A_out_1: $i > $i ).
thf(tp_tuple_A_out_3,type,
tuple_A_out_3: $i > $i ).
thf(tp_tuple_A_out_4,type,
tuple_A_out_4: $i > $i ).
thf(tp_tuple_B_in_1,type,
tuple_B_in_1: $i > $i ).
thf(tp_tuple_B_in_3,type,
tuple_B_in_3: $i > $i ).
thf(tp_tuple_B_out_2,type,
tuple_B_out_2: $i > $i ).
thf(tp_tuple_false,type,
tuple_false: $i ).
thf(tp_tuple_true,type,
tuple_true: $i ).
thf(1,axiom,
! [VAR_MSG1_162: $i] :
( ( pred_attacker @ ( tuple_B_in_1 @ VAR_MSG1_162 ) )
=> ( pred_attacker @ ( tuple_B_out_2 @ ( constr_comm_enc @ VAR_MSG1_162 @ name_Kb ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(2,axiom,
! [VAR_MSG1_142: $i] :
( ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_142 ) )
=> ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(3,axiom,
! [VAR_MSG1_128: $i] :
( ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_128 ) )
=> ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ VAR_MSG1_128 @ name_Ka ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(4,axiom,
pred_attacker @ ( tuple_A_out_1 @ ( constr_comm_enc @ name_m_9 @ name_Ka ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(5,axiom,
! [VAR_V_95: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_95 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
thf(6,axiom,
! [VAR_V_94: $i] : ( pred_equal @ VAR_V_94 @ VAR_V_94 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
thf(7,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
thf(8,axiom,
! [VAR_V_91: $i,VAR_V_92: $i] :
( ( ( pred_attacker @ VAR_V_92 )
& ( pred_attacker @ VAR_V_91 ) )
=> ( pred_mess @ VAR_V_92 @ VAR_V_91 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(9,axiom,
! [VAR_V_89: $i,VAR_V_90X30: $i] :
( ( ( pred_mess @ VAR_V_90X30 @ VAR_V_89 )
& ( pred_attacker @ VAR_V_90X30 ) )
=> ( pred_attacker @ VAR_V_89 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(10,axiom,
! [VAR_V_83: $i] :
( ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_83 ) )
=> ( pred_attacker @ VAR_V_83 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(11,axiom,
! [VAR_V_80X30: $i] :
( ( pred_attacker @ VAR_V_80X30 )
=> ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_80X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(12,axiom,
! [VAR_V_77: $i] :
( ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_77 ) )
=> ( pred_attacker @ VAR_V_77 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
thf(13,axiom,
! [VAR_V_74: $i] :
( ( pred_attacker @ VAR_V_74 )
=> ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_74 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(14,axiom,
! [VAR_V_71: $i] :
( ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_71 ) )
=> ( pred_attacker @ VAR_V_71 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(15,axiom,
! [VAR_V_68: $i] :
( ( pred_attacker @ VAR_V_68 )
=> ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_68 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(16,axiom,
! [VAR_V_65: $i] :
( ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_65 ) )
=> ( pred_attacker @ VAR_V_65 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(17,axiom,
! [VAR_V_62: $i] :
( ( pred_attacker @ VAR_V_62 )
=> ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_62 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(18,axiom,
! [VAR_V_59: $i] :
( ( pred_attacker @ ( tuple_B_in_1 @ VAR_V_59 ) )
=> ( pred_attacker @ VAR_V_59 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(19,axiom,
! [VAR_V_56: $i] :
( ( pred_attacker @ VAR_V_56 )
=> ( pred_attacker @ ( tuple_B_in_1 @ VAR_V_56 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(20,axiom,
! [VAR_V_53: $i] :
( ( pred_attacker @ ( tuple_B_in_3 @ VAR_V_53 ) )
=> ( pred_attacker @ VAR_V_53 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(21,axiom,
! [VAR_V_50X30: $i] :
( ( pred_attacker @ VAR_V_50X30 )
=> ( pred_attacker @ ( tuple_B_in_3 @ VAR_V_50X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(22,axiom,
! [VAR_V_47: $i] :
( ( pred_attacker @ ( tuple_B_out_2 @ VAR_V_47 ) )
=> ( pred_attacker @ VAR_V_47 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(23,axiom,
! [VAR_V_44: $i] :
( ( pred_attacker @ VAR_V_44 )
=> ( pred_attacker @ ( tuple_B_out_2 @ VAR_V_44 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(24,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(25,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(26,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(27,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(28,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(29,axiom,
! [VAR_V_41: $i,VAR_V_42: $i] :
( ( ( pred_attacker @ VAR_V_41 )
& ( pred_attacker @ VAR_V_42 ) )
=> ( pred_attacker @ ( constr_comm_dec @ VAR_V_41 @ VAR_V_42 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(30,axiom,
! [VAR_V_37: $i,VAR_V_38: $i] :
( ( ( pred_attacker @ VAR_V_37 )
& ( pred_attacker @ VAR_V_38 ) )
=> ( pred_attacker @ ( constr_comm_enc @ VAR_V_37 @ VAR_V_38 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(31,axiom,
! [VAR_V_33: $i,VAR_V_34: $i] :
( ( ( pred_attacker @ VAR_V_33 )
& ( pred_attacker @ VAR_V_34 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_33 @ VAR_V_34 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(32,axiom,
! [VAR_V_29: $i,VAR_V_30X30: $i] :
( ( ( pred_attacker @ VAR_V_29 )
& ( pred_attacker @ VAR_V_30X30 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_29 @ VAR_V_30X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(33,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(34,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(35,axiom,
! [VAR_K_0X30: $i,VAR_M_0X30: $i] :
( ( constr_comm_dec @ ( constr_comm_enc @ VAR_M_0X30 @ VAR_K_0X30 ) @ VAR_K_0X30 )
= VAR_M_0X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(36,axiom,
! [VAR_K_8: $i,VAR_M_7: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_7 @ VAR_K_8 ) @ VAR_K_8 )
= VAR_M_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(37,axiom,
name_m_9 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(38,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(39,axiom,
name_c != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(40,axiom,
name_Kb != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(41,axiom,
name_Kb != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(42,axiom,
name_Kb != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(43,axiom,
name_Ka != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(44,axiom,
name_Ka != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(45,axiom,
name_Ka != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(46,axiom,
name_Ka != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(47,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(48,axiom,
constr_CONST_4 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(49,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(50,axiom,
constr_CONST_4 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(51,axiom,
constr_CONST_4 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(52,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(53,axiom,
constr_CONST_3 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(54,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(55,axiom,
constr_CONST_3 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(56,axiom,
constr_CONST_3 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(57,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(58,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(59,axiom,
constr_CONST_2 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(60,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(61,axiom,
constr_CONST_2 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(62,axiom,
constr_CONST_2 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(63,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(64,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(65,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(66,axiom,
constr_CONST_1 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(67,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(68,axiom,
constr_CONST_1 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(69,axiom,
constr_CONST_1 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(70,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(71,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(72,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(73,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(74,axiom,
constr_CONST_0x30 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(75,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(76,axiom,
constr_CONST_0x30 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(77,axiom,
constr_CONST_0x30 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(78,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(79,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(80,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(81,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(82,conjecture,
pred_attacker @ name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(83,negated_conjecture,
( ( pred_attacker @ name_objective )
= $false ),
inference(negate_conjecture,[status(cth)],[82]) ).
thf(84,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(unfold_def,[status(thm)],[83]) ).
thf(85,plain,
( ( ! [VAR_MSG1_162: $i] :
( ( pred_attacker @ ( tuple_B_in_1 @ VAR_MSG1_162 ) )
=> ( pred_attacker @ ( tuple_B_out_2 @ ( constr_comm_enc @ VAR_MSG1_162 @ name_Kb ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(86,plain,
( ( ! [VAR_MSG1_142: $i] :
( ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_142 ) )
=> ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(87,plain,
( ( ! [VAR_MSG1_128: $i] :
( ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_128 ) )
=> ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ VAR_MSG1_128 @ name_Ka ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(88,plain,
( ( pred_attacker @ ( tuple_A_out_1 @ ( constr_comm_enc @ name_m_9 @ name_Ka ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(89,plain,
( ( ! [VAR_V_95: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_95 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(90,plain,
( ( ! [VAR_V_94: $i] : ( pred_equal @ VAR_V_94 @ VAR_V_94 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(91,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(92,plain,
( ( ! [VAR_V_91: $i,VAR_V_92: $i] :
( ( ( pred_attacker @ VAR_V_92 )
& ( pred_attacker @ VAR_V_91 ) )
=> ( pred_mess @ VAR_V_92 @ VAR_V_91 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(93,plain,
( ( ! [VAR_V_89: $i,VAR_V_90X30: $i] :
( ( ( pred_mess @ VAR_V_90X30 @ VAR_V_89 )
& ( pred_attacker @ VAR_V_90X30 ) )
=> ( pred_attacker @ VAR_V_89 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(94,plain,
( ( ! [VAR_V_83: $i] :
( ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_83 ) )
=> ( pred_attacker @ VAR_V_83 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(95,plain,
( ( ! [VAR_V_80X30: $i] :
( ( pred_attacker @ VAR_V_80X30 )
=> ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_80X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(96,plain,
( ( ! [VAR_V_77: $i] :
( ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_77 ) )
=> ( pred_attacker @ VAR_V_77 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(97,plain,
( ( ! [VAR_V_74: $i] :
( ( pred_attacker @ VAR_V_74 )
=> ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_74 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(98,plain,
( ( ! [VAR_V_71: $i] :
( ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_71 ) )
=> ( pred_attacker @ VAR_V_71 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(99,plain,
( ( ! [VAR_V_68: $i] :
( ( pred_attacker @ VAR_V_68 )
=> ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_68 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(100,plain,
( ( ! [VAR_V_65: $i] :
( ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_65 ) )
=> ( pred_attacker @ VAR_V_65 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(101,plain,
( ( ! [VAR_V_62: $i] :
( ( pred_attacker @ VAR_V_62 )
=> ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_62 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(102,plain,
( ( ! [VAR_V_59: $i] :
( ( pred_attacker @ ( tuple_B_in_1 @ VAR_V_59 ) )
=> ( pred_attacker @ VAR_V_59 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(103,plain,
( ( ! [VAR_V_56: $i] :
( ( pred_attacker @ VAR_V_56 )
=> ( pred_attacker @ ( tuple_B_in_1 @ VAR_V_56 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(104,plain,
( ( ! [VAR_V_53: $i] :
( ( pred_attacker @ ( tuple_B_in_3 @ VAR_V_53 ) )
=> ( pred_attacker @ VAR_V_53 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(105,plain,
( ( ! [VAR_V_50X30: $i] :
( ( pred_attacker @ VAR_V_50X30 )
=> ( pred_attacker @ ( tuple_B_in_3 @ VAR_V_50X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(106,plain,
( ( ! [VAR_V_47: $i] :
( ( pred_attacker @ ( tuple_B_out_2 @ VAR_V_47 ) )
=> ( pred_attacker @ VAR_V_47 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(107,plain,
( ( ! [VAR_V_44: $i] :
( ( pred_attacker @ VAR_V_44 )
=> ( pred_attacker @ ( tuple_B_out_2 @ VAR_V_44 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(108,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(109,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(110,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(111,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(112,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(113,plain,
( ( ! [VAR_V_41: $i,VAR_V_42: $i] :
( ( ( pred_attacker @ VAR_V_41 )
& ( pred_attacker @ VAR_V_42 ) )
=> ( pred_attacker @ ( constr_comm_dec @ VAR_V_41 @ VAR_V_42 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(114,plain,
( ( ! [VAR_V_37: $i,VAR_V_38: $i] :
( ( ( pred_attacker @ VAR_V_37 )
& ( pred_attacker @ VAR_V_38 ) )
=> ( pred_attacker @ ( constr_comm_enc @ VAR_V_37 @ VAR_V_38 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(115,plain,
( ( ! [VAR_V_33: $i,VAR_V_34: $i] :
( ( ( pred_attacker @ VAR_V_33 )
& ( pred_attacker @ VAR_V_34 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_33 @ VAR_V_34 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(116,plain,
( ( ! [VAR_V_29: $i,VAR_V_30X30: $i] :
( ( ( pred_attacker @ VAR_V_29 )
& ( pred_attacker @ VAR_V_30X30 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_29 @ VAR_V_30X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(117,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(118,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(119,plain,
( ( ! [VAR_K_0X30: $i,VAR_M_0X30: $i] :
( ( constr_comm_dec @ ( constr_comm_enc @ VAR_M_0X30 @ VAR_K_0X30 ) @ VAR_K_0X30 )
= VAR_M_0X30 ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(120,plain,
( ( ! [VAR_K_8: $i,VAR_M_7: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_7 @ VAR_K_8 ) @ VAR_K_8 )
= VAR_M_7 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(121,plain,
( ( ( name_m_9 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(122,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(123,plain,
( ( ( name_c != name_m_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(124,plain,
( ( ( name_Kb != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(125,plain,
( ( ( name_Kb != name_m_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(126,plain,
( ( ( name_Kb != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(127,plain,
( ( ( name_Ka != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(128,plain,
( ( ( name_Ka != name_m_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(129,plain,
( ( ( name_Ka != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(130,plain,
( ( ( name_Ka != name_Kb ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(131,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(132,plain,
( ( ( constr_CONST_4 != name_m_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(133,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(134,plain,
( ( ( constr_CONST_4 != name_Kb ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(135,plain,
( ( ( constr_CONST_4 != name_Ka ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(136,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(137,plain,
( ( ( constr_CONST_3 != name_m_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(138,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(139,plain,
( ( ( constr_CONST_3 != name_Kb ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(140,plain,
( ( ( constr_CONST_3 != name_Ka ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(141,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(142,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(143,plain,
( ( ( constr_CONST_2 != name_m_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(144,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(145,plain,
( ( ( constr_CONST_2 != name_Kb ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(146,plain,
( ( ( constr_CONST_2 != name_Ka ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(147,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(148,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(149,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(150,plain,
( ( ( constr_CONST_1 != name_m_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(151,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(152,plain,
( ( ( constr_CONST_1 != name_Kb ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(153,plain,
( ( ( constr_CONST_1 != name_Ka ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(154,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(155,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(156,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(157,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(158,plain,
( ( ( constr_CONST_0x30 != name_m_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(159,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(160,plain,
( ( ( constr_CONST_0x30 != name_Kb ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(161,plain,
( ( ( constr_CONST_0x30 != name_Ka ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(162,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(163,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(164,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(165,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(166,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(polarity_switch,[status(thm)],[84]) ).
thf(167,plain,
( ( ! [VAR_MSG1_162: $i] :
( ~ ( pred_attacker @ ( tuple_B_in_1 @ VAR_MSG1_162 ) )
| ( pred_attacker @ ( tuple_B_out_2 @ ( constr_comm_enc @ VAR_MSG1_162 @ name_Kb ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(168,plain,
( ( ! [VAR_MSG1_142: $i] :
~ ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_142 ) )
| ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(169,plain,
( ( ! [VAR_MSG1_128: $i] :
( ~ ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_128 ) )
| ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ VAR_MSG1_128 @ name_Ka ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(170,plain,
( ( ! [VAR_V_91: $i,VAR_V_92: $i] :
( ~ ( pred_attacker @ VAR_V_92 )
| ~ ( pred_attacker @ VAR_V_91 )
| ( pred_mess @ VAR_V_92 @ VAR_V_91 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(171,plain,
( ( ! [VAR_V_89: $i] :
( ! [VAR_V_90X30: $i] :
( ~ ( pred_attacker @ VAR_V_90X30 )
| ~ ( pred_mess @ VAR_V_90X30 @ VAR_V_89 ) )
| ( pred_attacker @ VAR_V_89 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(172,plain,
( ( ! [VAR_V_83: $i] :
( ~ ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_83 ) )
| ( pred_attacker @ VAR_V_83 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(173,plain,
( ( ! [VAR_V_80X30: $i] :
( ~ ( pred_attacker @ VAR_V_80X30 )
| ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_80X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(174,plain,
( ( ! [VAR_V_77: $i] :
( ~ ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_77 ) )
| ( pred_attacker @ VAR_V_77 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(175,plain,
( ( ! [VAR_V_74: $i] :
( ~ ( pred_attacker @ VAR_V_74 )
| ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_74 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(176,plain,
( ( ! [VAR_V_71: $i] :
( ~ ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_71 ) )
| ( pred_attacker @ VAR_V_71 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(177,plain,
( ( ! [VAR_V_68: $i] :
( ~ ( pred_attacker @ VAR_V_68 )
| ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_68 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[99]) ).
thf(178,plain,
( ( ! [VAR_V_65: $i] :
( ~ ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_65 ) )
| ( pred_attacker @ VAR_V_65 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[100]) ).
thf(179,plain,
( ( ! [VAR_V_62: $i] :
( ~ ( pred_attacker @ VAR_V_62 )
| ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_62 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(180,plain,
( ( ! [VAR_V_59: $i] :
( ~ ( pred_attacker @ ( tuple_B_in_1 @ VAR_V_59 ) )
| ( pred_attacker @ VAR_V_59 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(181,plain,
( ( ! [VAR_V_56: $i] :
( ~ ( pred_attacker @ VAR_V_56 )
| ( pred_attacker @ ( tuple_B_in_1 @ VAR_V_56 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(182,plain,
( ( ! [VAR_V_53: $i] :
( ~ ( pred_attacker @ ( tuple_B_in_3 @ VAR_V_53 ) )
| ( pred_attacker @ VAR_V_53 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[104]) ).
thf(183,plain,
( ( ! [VAR_V_50X30: $i] :
( ~ ( pred_attacker @ VAR_V_50X30 )
| ( pred_attacker @ ( tuple_B_in_3 @ VAR_V_50X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
thf(184,plain,
( ( ! [VAR_V_47: $i] :
( ~ ( pred_attacker @ ( tuple_B_out_2 @ VAR_V_47 ) )
| ( pred_attacker @ VAR_V_47 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(185,plain,
( ( ! [VAR_V_44: $i] :
( ~ ( pred_attacker @ VAR_V_44 )
| ( pred_attacker @ ( tuple_B_out_2 @ VAR_V_44 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(186,plain,
( ( ! [VAR_V_41: $i,VAR_V_42: $i] :
( ~ ( pred_attacker @ VAR_V_41 )
| ~ ( pred_attacker @ VAR_V_42 )
| ( pred_attacker @ ( constr_comm_dec @ VAR_V_41 @ VAR_V_42 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(187,plain,
( ( ! [VAR_V_37: $i,VAR_V_38: $i] :
( ~ ( pred_attacker @ VAR_V_37 )
| ~ ( pred_attacker @ VAR_V_38 )
| ( pred_attacker @ ( constr_comm_enc @ VAR_V_37 @ VAR_V_38 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(188,plain,
( ( ! [VAR_V_33: $i,VAR_V_34: $i] :
( ~ ( pred_attacker @ VAR_V_33 )
| ~ ( pred_attacker @ VAR_V_34 )
| ( pred_attacker @ ( constr_dec @ VAR_V_33 @ VAR_V_34 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[115]) ).
thf(189,plain,
( ( ! [VAR_V_29: $i,VAR_V_30X30: $i] :
( ~ ( pred_attacker @ VAR_V_29 )
| ~ ( pred_attacker @ VAR_V_30X30 )
| ( pred_attacker @ ( constr_enc @ VAR_V_29 @ VAR_V_30X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(190,plain,
( ( ( name_m_9 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(191,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(192,plain,
( ( ( name_c != name_m_9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(193,plain,
( ( ( name_Kb != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(194,plain,
( ( ( name_Kb != name_m_9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(195,plain,
( ( ( name_Kb != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(196,plain,
( ( ( name_Ka != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(197,plain,
( ( ( name_Ka != name_m_9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(198,plain,
( ( ( name_Ka != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(199,plain,
( ( ( name_Ka != name_Kb ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(200,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(201,plain,
( ( ( constr_CONST_4 != name_m_9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[132]) ).
thf(202,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[133]) ).
thf(203,plain,
( ( ( constr_CONST_4 != name_Kb ) )
= $true ),
inference(extcnf_combined,[status(esa)],[134]) ).
thf(204,plain,
( ( ( constr_CONST_4 != name_Ka ) )
= $true ),
inference(extcnf_combined,[status(esa)],[135]) ).
thf(205,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[136]) ).
thf(206,plain,
( ( ( constr_CONST_3 != name_m_9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[137]) ).
thf(207,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[138]) ).
thf(208,plain,
( ( ( constr_CONST_3 != name_Kb ) )
= $true ),
inference(extcnf_combined,[status(esa)],[139]) ).
thf(209,plain,
( ( ( constr_CONST_3 != name_Ka ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(210,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[141]) ).
thf(211,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[142]) ).
thf(212,plain,
( ( ( constr_CONST_2 != name_m_9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[143]) ).
thf(213,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[144]) ).
thf(214,plain,
( ( ( constr_CONST_2 != name_Kb ) )
= $true ),
inference(extcnf_combined,[status(esa)],[145]) ).
thf(215,plain,
( ( ( constr_CONST_2 != name_Ka ) )
= $true ),
inference(extcnf_combined,[status(esa)],[146]) ).
thf(216,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[147]) ).
thf(217,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[148]) ).
thf(218,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[149]) ).
thf(219,plain,
( ( ( constr_CONST_1 != name_m_9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[150]) ).
thf(220,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[151]) ).
thf(221,plain,
( ( ( constr_CONST_1 != name_Kb ) )
= $true ),
inference(extcnf_combined,[status(esa)],[152]) ).
thf(222,plain,
( ( ( constr_CONST_1 != name_Ka ) )
= $true ),
inference(extcnf_combined,[status(esa)],[153]) ).
thf(223,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[154]) ).
thf(224,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[155]) ).
thf(225,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[156]) ).
thf(226,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[157]) ).
thf(227,plain,
( ( ( constr_CONST_0x30 != name_m_9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[158]) ).
thf(228,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[159]) ).
thf(229,plain,
( ( ( constr_CONST_0x30 != name_Kb ) )
= $true ),
inference(extcnf_combined,[status(esa)],[160]) ).
thf(230,plain,
( ( ( constr_CONST_0x30 != name_Ka ) )
= $true ),
inference(extcnf_combined,[status(esa)],[161]) ).
thf(231,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[162]) ).
thf(232,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(233,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[164]) ).
thf(234,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[165]) ).
thf(235,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(236,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(237,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(238,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(239,plain,
( ( ( constr_CONST_0x30 != name_Ka ) )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(240,plain,
( ( ( constr_CONST_0x30 != name_Kb ) )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(241,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(242,plain,
( ( ( constr_CONST_0x30 != name_m_9 ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(243,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(244,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(245,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(246,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(247,plain,
( ( ( constr_CONST_1 != name_Ka ) )
= $true ),
inference(copy,[status(thm)],[222]) ).
thf(248,plain,
( ( ( constr_CONST_1 != name_Kb ) )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(249,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(copy,[status(thm)],[220]) ).
thf(250,plain,
( ( ( constr_CONST_1 != name_m_9 ) )
= $true ),
inference(copy,[status(thm)],[219]) ).
thf(251,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(252,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(253,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(254,plain,
( ( ( constr_CONST_2 != name_Ka ) )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(255,plain,
( ( ( constr_CONST_2 != name_Kb ) )
= $true ),
inference(copy,[status(thm)],[214]) ).
thf(256,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(copy,[status(thm)],[213]) ).
thf(257,plain,
( ( ( constr_CONST_2 != name_m_9 ) )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(258,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(259,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(260,plain,
( ( ( constr_CONST_3 != name_Ka ) )
= $true ),
inference(copy,[status(thm)],[209]) ).
thf(261,plain,
( ( ( constr_CONST_3 != name_Kb ) )
= $true ),
inference(copy,[status(thm)],[208]) ).
thf(262,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(copy,[status(thm)],[207]) ).
thf(263,plain,
( ( ( constr_CONST_3 != name_m_9 ) )
= $true ),
inference(copy,[status(thm)],[206]) ).
thf(264,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[205]) ).
thf(265,plain,
( ( ( constr_CONST_4 != name_Ka ) )
= $true ),
inference(copy,[status(thm)],[204]) ).
thf(266,plain,
( ( ( constr_CONST_4 != name_Kb ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(267,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(copy,[status(thm)],[202]) ).
thf(268,plain,
( ( ( constr_CONST_4 != name_m_9 ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(269,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(270,plain,
( ( ( name_Ka != name_Kb ) )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(271,plain,
( ( ( name_Ka != name_c ) )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(272,plain,
( ( ( name_Ka != name_m_9 ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(273,plain,
( ( ( name_Ka != name_objective ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(274,plain,
( ( ( name_Kb != name_c ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(275,plain,
( ( ( name_Kb != name_m_9 ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(276,plain,
( ( ( name_Kb != name_objective ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(277,plain,
( ( ( name_c != name_m_9 ) )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(278,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(279,plain,
( ( ( name_m_9 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(280,plain,
( ( ! [VAR_K_8: $i,VAR_M_7: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_7 @ VAR_K_8 ) @ VAR_K_8 )
= VAR_M_7 ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(281,plain,
( ( ! [VAR_K_0X30: $i,VAR_M_0X30: $i] :
( ( constr_comm_dec @ ( constr_comm_enc @ VAR_M_0X30 @ VAR_K_0X30 ) @ VAR_K_0X30 )
= VAR_M_0X30 ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(282,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(283,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(284,plain,
( ( ! [VAR_V_29: $i,VAR_V_30X30: $i] :
( ~ ( pred_attacker @ VAR_V_29 )
| ~ ( pred_attacker @ VAR_V_30X30 )
| ( pred_attacker @ ( constr_enc @ VAR_V_29 @ VAR_V_30X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(285,plain,
( ( ! [VAR_V_33: $i,VAR_V_34: $i] :
( ~ ( pred_attacker @ VAR_V_33 )
| ~ ( pred_attacker @ VAR_V_34 )
| ( pred_attacker @ ( constr_dec @ VAR_V_33 @ VAR_V_34 ) ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(286,plain,
( ( ! [VAR_V_37: $i,VAR_V_38: $i] :
( ~ ( pred_attacker @ VAR_V_37 )
| ~ ( pred_attacker @ VAR_V_38 )
| ( pred_attacker @ ( constr_comm_enc @ VAR_V_37 @ VAR_V_38 ) ) ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(287,plain,
( ( ! [VAR_V_41: $i,VAR_V_42: $i] :
( ~ ( pred_attacker @ VAR_V_41 )
| ~ ( pred_attacker @ VAR_V_42 )
| ( pred_attacker @ ( constr_comm_dec @ VAR_V_41 @ VAR_V_42 ) ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(288,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(289,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(290,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(291,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(292,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(293,plain,
( ( ! [VAR_V_44: $i] :
( ~ ( pred_attacker @ VAR_V_44 )
| ( pred_attacker @ ( tuple_B_out_2 @ VAR_V_44 ) ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(294,plain,
( ( ! [VAR_V_47: $i] :
( ~ ( pred_attacker @ ( tuple_B_out_2 @ VAR_V_47 ) )
| ( pred_attacker @ VAR_V_47 ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(295,plain,
( ( ! [VAR_V_50X30: $i] :
( ~ ( pred_attacker @ VAR_V_50X30 )
| ( pred_attacker @ ( tuple_B_in_3 @ VAR_V_50X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(296,plain,
( ( ! [VAR_V_53: $i] :
( ~ ( pred_attacker @ ( tuple_B_in_3 @ VAR_V_53 ) )
| ( pred_attacker @ VAR_V_53 ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(297,plain,
( ( ! [VAR_V_56: $i] :
( ~ ( pred_attacker @ VAR_V_56 )
| ( pred_attacker @ ( tuple_B_in_1 @ VAR_V_56 ) ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(298,plain,
( ( ! [VAR_V_59: $i] :
( ~ ( pred_attacker @ ( tuple_B_in_1 @ VAR_V_59 ) )
| ( pred_attacker @ VAR_V_59 ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(299,plain,
( ( ! [VAR_V_62: $i] :
( ~ ( pred_attacker @ VAR_V_62 )
| ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_62 ) ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(300,plain,
( ( ! [VAR_V_65: $i] :
( ~ ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_65 ) )
| ( pred_attacker @ VAR_V_65 ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(301,plain,
( ( ! [VAR_V_68: $i] :
( ~ ( pred_attacker @ VAR_V_68 )
| ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_68 ) ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(302,plain,
( ( ! [VAR_V_71: $i] :
( ~ ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_71 ) )
| ( pred_attacker @ VAR_V_71 ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(303,plain,
( ( ! [VAR_V_74: $i] :
( ~ ( pred_attacker @ VAR_V_74 )
| ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_74 ) ) ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(304,plain,
( ( ! [VAR_V_77: $i] :
( ~ ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_77 ) )
| ( pred_attacker @ VAR_V_77 ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(305,plain,
( ( ! [VAR_V_80X30: $i] :
( ~ ( pred_attacker @ VAR_V_80X30 )
| ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_80X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(306,plain,
( ( ! [VAR_V_83: $i] :
( ~ ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_83 ) )
| ( pred_attacker @ VAR_V_83 ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(307,plain,
( ( ! [VAR_V_89: $i] :
( ! [VAR_V_90X30: $i] :
( ~ ( pred_attacker @ VAR_V_90X30 )
| ~ ( pred_mess @ VAR_V_90X30 @ VAR_V_89 ) )
| ( pred_attacker @ VAR_V_89 ) ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(308,plain,
( ( ! [VAR_V_91: $i,VAR_V_92: $i] :
( ~ ( pred_attacker @ VAR_V_92 )
| ~ ( pred_attacker @ VAR_V_91 )
| ( pred_mess @ VAR_V_92 @ VAR_V_91 ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(309,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(310,plain,
( ( ! [VAR_V_94: $i] : ( pred_equal @ VAR_V_94 @ VAR_V_94 ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(311,plain,
( ( ! [VAR_V_95: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_95 ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(312,plain,
( ( pred_attacker @ ( tuple_A_out_1 @ ( constr_comm_enc @ name_m_9 @ name_Ka ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(313,plain,
( ( ! [VAR_MSG1_128: $i] :
( ~ ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_128 ) )
| ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ VAR_MSG1_128 @ name_Ka ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(314,plain,
( ( ! [VAR_MSG1_142: $i] :
~ ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_142 ) )
| ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(315,plain,
( ( ! [VAR_MSG1_162: $i] :
( ~ ( pred_attacker @ ( tuple_B_in_1 @ VAR_MSG1_162 ) )
| ( pred_attacker @ ( tuple_B_out_2 @ ( constr_comm_enc @ VAR_MSG1_162 @ name_Kb ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(316,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(317,plain,
( ( constr_CONST_0x30 = constr_CONST_1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(318,plain,
( ( constr_CONST_0x30 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(319,plain,
( ( constr_CONST_0x30 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(320,plain,
( ( constr_CONST_0x30 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(321,plain,
( ( constr_CONST_0x30 = name_Ka )
= $false ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(322,plain,
( ( constr_CONST_0x30 = name_Kb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(323,plain,
( ( constr_CONST_0x30 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(324,plain,
( ( constr_CONST_0x30 = name_m_9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(325,plain,
( ( constr_CONST_0x30 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(326,plain,
( ( constr_CONST_1 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(327,plain,
( ( constr_CONST_1 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(328,plain,
( ( constr_CONST_1 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(329,plain,
( ( constr_CONST_1 = name_Ka )
= $false ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(330,plain,
( ( constr_CONST_1 = name_Kb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(331,plain,
( ( constr_CONST_1 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(332,plain,
( ( constr_CONST_1 = name_m_9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(333,plain,
( ( constr_CONST_1 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(334,plain,
( ( constr_CONST_2 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(335,plain,
( ( constr_CONST_2 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(336,plain,
( ( constr_CONST_2 = name_Ka )
= $false ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(337,plain,
( ( constr_CONST_2 = name_Kb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(338,plain,
( ( constr_CONST_2 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(339,plain,
( ( constr_CONST_2 = name_m_9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(340,plain,
( ( constr_CONST_2 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(341,plain,
( ( constr_CONST_3 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(342,plain,
( ( constr_CONST_3 = name_Ka )
= $false ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(343,plain,
( ( constr_CONST_3 = name_Kb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(344,plain,
( ( constr_CONST_3 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(345,plain,
( ( constr_CONST_3 = name_m_9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(346,plain,
( ( constr_CONST_3 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(347,plain,
( ( constr_CONST_4 = name_Ka )
= $false ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(348,plain,
( ( constr_CONST_4 = name_Kb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(349,plain,
( ( constr_CONST_4 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(350,plain,
( ( constr_CONST_4 = name_m_9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(351,plain,
( ( constr_CONST_4 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(352,plain,
( ( name_Ka = name_Kb )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(353,plain,
( ( name_Ka = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(354,plain,
( ( name_Ka = name_m_9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(355,plain,
( ( name_Ka = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(356,plain,
( ( name_Kb = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(357,plain,
( ( name_Kb = name_m_9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(358,plain,
( ( name_Kb = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(359,plain,
( ( name_c = name_m_9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(360,plain,
( ( name_c = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(361,plain,
( ( name_m_9 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(362,plain,
! [SV1: $i] :
( ( ! [SY35: $i] :
( ( constr_dec @ ( constr_enc @ SY35 @ SV1 ) @ SV1 )
= SY35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(363,plain,
! [SV2: $i] :
( ( ! [SY36: $i] :
( ( constr_comm_dec @ ( constr_comm_enc @ SY36 @ SV2 ) @ SV2 )
= SY36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(364,plain,
! [SV3: $i] :
( ( ! [SY37: $i] :
( ~ ( pred_attacker @ SV3 )
| ~ ( pred_attacker @ SY37 )
| ( pred_attacker @ ( constr_enc @ SV3 @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(365,plain,
! [SV4: $i] :
( ( ! [SY38: $i] :
( ~ ( pred_attacker @ SV4 )
| ~ ( pred_attacker @ SY38 )
| ( pred_attacker @ ( constr_dec @ SV4 @ SY38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(366,plain,
! [SV5: $i] :
( ( ! [SY39: $i] :
( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SY39 )
| ( pred_attacker @ ( constr_comm_enc @ SV5 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(367,plain,
! [SV6: $i] :
( ( ! [SY40: $i] :
( ~ ( pred_attacker @ SV6 )
| ~ ( pred_attacker @ SY40 )
| ( pred_attacker @ ( constr_comm_dec @ SV6 @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(368,plain,
! [SV7: $i] :
( ( ~ ( pred_attacker @ SV7 )
| ( pred_attacker @ ( tuple_B_out_2 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(369,plain,
! [SV8: $i] :
( ( ~ ( pred_attacker @ ( tuple_B_out_2 @ SV8 ) )
| ( pred_attacker @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(370,plain,
! [SV9: $i] :
( ( ~ ( pred_attacker @ SV9 )
| ( pred_attacker @ ( tuple_B_in_3 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(371,plain,
! [SV10: $i] :
( ( ~ ( pred_attacker @ ( tuple_B_in_3 @ SV10 ) )
| ( pred_attacker @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(372,plain,
! [SV11: $i] :
( ( ~ ( pred_attacker @ SV11 )
| ( pred_attacker @ ( tuple_B_in_1 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(373,plain,
! [SV12: $i] :
( ( ~ ( pred_attacker @ ( tuple_B_in_1 @ SV12 ) )
| ( pred_attacker @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(374,plain,
! [SV13: $i] :
( ( ~ ( pred_attacker @ SV13 )
| ( pred_attacker @ ( tuple_A_out_4 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(375,plain,
! [SV14: $i] :
( ( ~ ( pred_attacker @ ( tuple_A_out_4 @ SV14 ) )
| ( pred_attacker @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(376,plain,
! [SV15: $i] :
( ( ~ ( pred_attacker @ SV15 )
| ( pred_attacker @ ( tuple_A_out_3 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(377,plain,
! [SV16: $i] :
( ( ~ ( pred_attacker @ ( tuple_A_out_3 @ SV16 ) )
| ( pred_attacker @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(378,plain,
! [SV17: $i] :
( ( ~ ( pred_attacker @ SV17 )
| ( pred_attacker @ ( tuple_A_out_1 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(379,plain,
! [SV18: $i] :
( ( ~ ( pred_attacker @ ( tuple_A_out_1 @ SV18 ) )
| ( pred_attacker @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(380,plain,
! [SV19: $i] :
( ( ~ ( pred_attacker @ SV19 )
| ( pred_attacker @ ( tuple_A_in_2 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(381,plain,
! [SV20: $i] :
( ( ~ ( pred_attacker @ ( tuple_A_in_2 @ SV20 ) )
| ( pred_attacker @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(382,plain,
! [SV21: $i] :
( ( ! [SY41: $i] :
( ~ ( pred_attacker @ SY41 )
| ~ ( pred_mess @ SY41 @ SV21 ) )
| ( pred_attacker @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(383,plain,
! [SV22: $i] :
( ( ! [SY42: $i] :
( ~ ( pred_attacker @ SY42 )
| ~ ( pred_attacker @ SV22 )
| ( pred_mess @ SY42 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(384,plain,
! [SV23: $i] :
( ( pred_equal @ SV23 @ SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(385,plain,
! [SV24: $i] :
( ( pred_attacker @ ( name_new0x2Dname @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(386,plain,
! [SV25: $i] :
( ( ~ ( pred_attacker @ ( tuple_A_in_2 @ SV25 ) )
| ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ SV25 @ name_Ka ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(387,plain,
( ( ( ! [VAR_MSG1_142: $i] :
~ ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_142 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(388,plain,
! [SV26: $i] :
( ( ~ ( pred_attacker @ ( tuple_B_in_1 @ SV26 ) )
| ( pred_attacker @ ( tuple_B_out_2 @ ( constr_comm_enc @ SV26 @ name_Kb ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(389,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(390,plain,
! [SV1: $i,SV27: $i] :
( ( ( constr_dec @ ( constr_enc @ SV27 @ SV1 ) @ SV1 )
= SV27 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(391,plain,
! [SV2: $i,SV28: $i] :
( ( ( constr_comm_dec @ ( constr_comm_enc @ SV28 @ SV2 ) @ SV2 )
= SV28 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(392,plain,
! [SV29: $i,SV3: $i] :
( ( ~ ( pred_attacker @ SV3 )
| ~ ( pred_attacker @ SV29 )
| ( pred_attacker @ ( constr_enc @ SV3 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(393,plain,
! [SV30: $i,SV4: $i] :
( ( ~ ( pred_attacker @ SV4 )
| ~ ( pred_attacker @ SV30 )
| ( pred_attacker @ ( constr_dec @ SV4 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(394,plain,
! [SV31: $i,SV5: $i] :
( ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV31 )
| ( pred_attacker @ ( constr_comm_enc @ SV5 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(395,plain,
! [SV32: $i,SV6: $i] :
( ( ~ ( pred_attacker @ SV6 )
| ~ ( pred_attacker @ SV32 )
| ( pred_attacker @ ( constr_comm_dec @ SV6 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(396,plain,
! [SV7: $i] :
( ( ( ~ ( pred_attacker @ SV7 ) )
= $true )
| ( ( pred_attacker @ ( tuple_B_out_2 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(397,plain,
! [SV8: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_B_out_2 @ SV8 ) ) )
= $true )
| ( ( pred_attacker @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(398,plain,
! [SV9: $i] :
( ( ( ~ ( pred_attacker @ SV9 ) )
= $true )
| ( ( pred_attacker @ ( tuple_B_in_3 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(399,plain,
! [SV10: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_B_in_3 @ SV10 ) ) )
= $true )
| ( ( pred_attacker @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(400,plain,
! [SV11: $i] :
( ( ( ~ ( pred_attacker @ SV11 ) )
= $true )
| ( ( pred_attacker @ ( tuple_B_in_1 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(401,plain,
! [SV12: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_B_in_1 @ SV12 ) ) )
= $true )
| ( ( pred_attacker @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(402,plain,
! [SV13: $i] :
( ( ( ~ ( pred_attacker @ SV13 ) )
= $true )
| ( ( pred_attacker @ ( tuple_A_out_4 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(403,plain,
! [SV14: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_A_out_4 @ SV14 ) ) )
= $true )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(404,plain,
! [SV15: $i] :
( ( ( ~ ( pred_attacker @ SV15 ) )
= $true )
| ( ( pred_attacker @ ( tuple_A_out_3 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(405,plain,
! [SV16: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_A_out_3 @ SV16 ) ) )
= $true )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(406,plain,
! [SV17: $i] :
( ( ( ~ ( pred_attacker @ SV17 ) )
= $true )
| ( ( pred_attacker @ ( tuple_A_out_1 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(407,plain,
! [SV18: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_A_out_1 @ SV18 ) ) )
= $true )
| ( ( pred_attacker @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(408,plain,
! [SV19: $i] :
( ( ( ~ ( pred_attacker @ SV19 ) )
= $true )
| ( ( pred_attacker @ ( tuple_A_in_2 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(409,plain,
! [SV20: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_A_in_2 @ SV20 ) ) )
= $true )
| ( ( pred_attacker @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(410,plain,
! [SV21: $i] :
( ( ( ! [SY41: $i] :
( ~ ( pred_attacker @ SY41 )
| ~ ( pred_mess @ SY41 @ SV21 ) ) )
= $true )
| ( ( pred_attacker @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(411,plain,
! [SV22: $i,SV33: $i] :
( ( ~ ( pred_attacker @ SV33 )
| ~ ( pred_attacker @ SV22 )
| ( pred_mess @ SV33 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(412,plain,
! [SV25: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_A_in_2 @ SV25 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ SV25 @ name_Ka ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(413,plain,
! [SV34: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_A_in_2 @ SV34 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(414,plain,
! [SV26: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_B_in_1 @ SV26 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_B_out_2 @ ( constr_comm_enc @ SV26 @ name_Kb ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(415,plain,
! [SV29: $i,SV3: $i] :
( ( ( ~ ( pred_attacker @ SV3 )
| ~ ( pred_attacker @ SV29 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV3 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(416,plain,
! [SV30: $i,SV4: $i] :
( ( ( ~ ( pred_attacker @ SV4 )
| ~ ( pred_attacker @ SV30 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV4 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(417,plain,
! [SV31: $i,SV5: $i] :
( ( ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV31 ) )
= $true )
| ( ( pred_attacker @ ( constr_comm_enc @ SV5 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(418,plain,
! [SV32: $i,SV6: $i] :
( ( ( ~ ( pred_attacker @ SV6 )
| ~ ( pred_attacker @ SV32 ) )
= $true )
| ( ( pred_attacker @ ( constr_comm_dec @ SV6 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(419,plain,
! [SV7: $i] :
( ( ( pred_attacker @ SV7 )
= $false )
| ( ( pred_attacker @ ( tuple_B_out_2 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(420,plain,
! [SV8: $i] :
( ( ( pred_attacker @ ( tuple_B_out_2 @ SV8 ) )
= $false )
| ( ( pred_attacker @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(421,plain,
! [SV9: $i] :
( ( ( pred_attacker @ SV9 )
= $false )
| ( ( pred_attacker @ ( tuple_B_in_3 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(422,plain,
! [SV10: $i] :
( ( ( pred_attacker @ ( tuple_B_in_3 @ SV10 ) )
= $false )
| ( ( pred_attacker @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(423,plain,
! [SV11: $i] :
( ( ( pred_attacker @ SV11 )
= $false )
| ( ( pred_attacker @ ( tuple_B_in_1 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(424,plain,
! [SV12: $i] :
( ( ( pred_attacker @ ( tuple_B_in_1 @ SV12 ) )
= $false )
| ( ( pred_attacker @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(425,plain,
! [SV13: $i] :
( ( ( pred_attacker @ SV13 )
= $false )
| ( ( pred_attacker @ ( tuple_A_out_4 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(426,plain,
! [SV14: $i] :
( ( ( pred_attacker @ ( tuple_A_out_4 @ SV14 ) )
= $false )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(427,plain,
! [SV15: $i] :
( ( ( pred_attacker @ SV15 )
= $false )
| ( ( pred_attacker @ ( tuple_A_out_3 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(428,plain,
! [SV16: $i] :
( ( ( pred_attacker @ ( tuple_A_out_3 @ SV16 ) )
= $false )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(429,plain,
! [SV17: $i] :
( ( ( pred_attacker @ SV17 )
= $false )
| ( ( pred_attacker @ ( tuple_A_out_1 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(430,plain,
! [SV18: $i] :
( ( ( pred_attacker @ ( tuple_A_out_1 @ SV18 ) )
= $false )
| ( ( pred_attacker @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(431,plain,
! [SV19: $i] :
( ( ( pred_attacker @ SV19 )
= $false )
| ( ( pred_attacker @ ( tuple_A_in_2 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(432,plain,
! [SV20: $i] :
( ( ( pred_attacker @ ( tuple_A_in_2 @ SV20 ) )
= $false )
| ( ( pred_attacker @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(433,plain,
! [SV21: $i,SV35: $i] :
( ( ( ~ ( pred_attacker @ SV35 )
| ~ ( pred_mess @ SV35 @ SV21 ) )
= $true )
| ( ( pred_attacker @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(434,plain,
! [SV22: $i,SV33: $i] :
( ( ( ~ ( pred_attacker @ SV33 )
| ~ ( pred_attacker @ SV22 ) )
= $true )
| ( ( pred_mess @ SV33 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(435,plain,
! [SV25: $i] :
( ( ( pred_attacker @ ( tuple_A_in_2 @ SV25 ) )
= $false )
| ( ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ SV25 @ name_Ka ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(436,plain,
! [SV34: $i] :
( ( ( pred_attacker @ ( tuple_A_in_2 @ SV34 ) )
= $false )
| ( ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(437,plain,
! [SV26: $i] :
( ( ( pred_attacker @ ( tuple_B_in_1 @ SV26 ) )
= $false )
| ( ( pred_attacker @ ( tuple_B_out_2 @ ( constr_comm_enc @ SV26 @ name_Kb ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(438,plain,
! [SV29: $i,SV3: $i] :
( ( ( ~ ( pred_attacker @ SV3 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV29 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV3 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(439,plain,
! [SV30: $i,SV4: $i] :
( ( ( ~ ( pred_attacker @ SV4 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV30 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV4 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(440,plain,
! [SV31: $i,SV5: $i] :
( ( ( ~ ( pred_attacker @ SV5 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV31 ) )
= $true )
| ( ( pred_attacker @ ( constr_comm_enc @ SV5 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(441,plain,
! [SV32: $i,SV6: $i] :
( ( ( ~ ( pred_attacker @ SV6 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV32 ) )
= $true )
| ( ( pred_attacker @ ( constr_comm_dec @ SV6 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(442,plain,
! [SV21: $i,SV35: $i] :
( ( ( ~ ( pred_attacker @ SV35 ) )
= $true )
| ( ( ~ ( pred_mess @ SV35 @ SV21 ) )
= $true )
| ( ( pred_attacker @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(443,plain,
! [SV22: $i,SV33: $i] :
( ( ( ~ ( pred_attacker @ SV33 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV22 ) )
= $true )
| ( ( pred_mess @ SV33 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(444,plain,
! [SV29: $i,SV3: $i] :
( ( ( pred_attacker @ SV3 )
= $false )
| ( ( ~ ( pred_attacker @ SV29 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV3 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(445,plain,
! [SV30: $i,SV4: $i] :
( ( ( pred_attacker @ SV4 )
= $false )
| ( ( ~ ( pred_attacker @ SV30 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV4 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(446,plain,
! [SV31: $i,SV5: $i] :
( ( ( pred_attacker @ SV5 )
= $false )
| ( ( ~ ( pred_attacker @ SV31 ) )
= $true )
| ( ( pred_attacker @ ( constr_comm_enc @ SV5 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(447,plain,
! [SV32: $i,SV6: $i] :
( ( ( pred_attacker @ SV6 )
= $false )
| ( ( ~ ( pred_attacker @ SV32 ) )
= $true )
| ( ( pred_attacker @ ( constr_comm_dec @ SV6 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(448,plain,
! [SV21: $i,SV35: $i] :
( ( ( pred_attacker @ SV35 )
= $false )
| ( ( ~ ( pred_mess @ SV35 @ SV21 ) )
= $true )
| ( ( pred_attacker @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(449,plain,
! [SV22: $i,SV33: $i] :
( ( ( pred_attacker @ SV33 )
= $false )
| ( ( ~ ( pred_attacker @ SV22 ) )
= $true )
| ( ( pred_mess @ SV33 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(450,plain,
! [SV3: $i,SV29: $i] :
( ( ( pred_attacker @ SV29 )
= $false )
| ( ( pred_attacker @ SV3 )
= $false )
| ( ( pred_attacker @ ( constr_enc @ SV3 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(451,plain,
! [SV4: $i,SV30: $i] :
( ( ( pred_attacker @ SV30 )
= $false )
| ( ( pred_attacker @ SV4 )
= $false )
| ( ( pred_attacker @ ( constr_dec @ SV4 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(452,plain,
! [SV5: $i,SV31: $i] :
( ( ( pred_attacker @ SV31 )
= $false )
| ( ( pred_attacker @ SV5 )
= $false )
| ( ( pred_attacker @ ( constr_comm_enc @ SV5 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(453,plain,
! [SV6: $i,SV32: $i] :
( ( ( pred_attacker @ SV32 )
= $false )
| ( ( pred_attacker @ SV6 )
= $false )
| ( ( pred_attacker @ ( constr_comm_dec @ SV6 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(454,plain,
! [SV21: $i,SV35: $i] :
( ( ( pred_mess @ SV35 @ SV21 )
= $false )
| ( ( pred_attacker @ SV35 )
= $false )
| ( ( pred_attacker @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(455,plain,
! [SV33: $i,SV22: $i] :
( ( ( pred_attacker @ SV22 )
= $false )
| ( ( pred_attacker @ SV33 )
= $false )
| ( ( pred_mess @ SV33 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(456,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[282,455,454,453,452,451,450,437,436,435,432,431,430,429,428,427,426,425,424,423,422,421,420,419,391,390,389,385,384,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,312,309,292,291,290,289,288,283]) ).
thf(457,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW955+1 : TPTP v8.1.0. Released v7.4.0.
% 0.07/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 5 17:17:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37
% 0.13/0.37 No.of.Axioms: 81
% 0.13/0.37
% 0.13/0.37 Length.of.Defs: 0
% 0.13/0.37
% 0.13/0.37 Contains.Choice.Funs: false
% 0.13/0.38 .
% 0.13/0.39 (rf:0,axioms:81,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:83,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.21/0.49
% 0.21/0.49 ********************************
% 0.21/0.49 * All subproblems solved! *
% 0.21/0.49 ********************************
% 0.21/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:81,ps:3,u:6,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:456,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.54
% 0.36/0.54 %**** Beginning of derivation protocol ****
% 0.36/0.54 % SZS output start CNFRefutation
% See solution above
% 0.36/0.55
% 0.36/0.55 %**** End of derivation protocol ****
% 0.36/0.55 %**** no. of clauses in derivation: 457 ****
% 0.36/0.55 %**** clause counter: 456 ****
% 0.36/0.55
% 0.36/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:81,ps:3,u:6,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:456,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------