TSTP Solution File: SWW951+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWW951+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 : n032.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 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 87
% Syntax : Number of formulae : 373 ( 299 unt; 21 typ; 0 def)
% Number of atoms : 1178 ( 537 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 948 ( 237 ~; 114 |; 8 &; 561 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 194 ( 0 ^ 194 !; 0 ?; 194 :)
% 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_ZERO,type,
constr_ZERO: $i ).
thf(tp_constr_h,type,
constr_h: $i > $i ).
thf(tp_constr_xor,type,
constr_xor: $i > $i > $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_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_T_in_1,type,
tuple_T_in_1: $i > $i ).
thf(tp_tuple_T_in_3,type,
tuple_T_in_3: $i > $i ).
thf(tp_tuple_T_out_2,type,
tuple_T_out_2: $i > $i ).
thf(tp_tuple_T_out_4,type,
tuple_T_out_4: $i > $i ).
thf(tp_tuple_false,type,
tuple_false: $i ).
thf(tp_tuple_true,type,
tuple_true: $i ).
thf(1,axiom,
! [VAR_K_XOR_K1_10X305: $i,VAR_R1_10X306: $i] :
( ( ( pred_attacker @ ( tuple_T_in_3 @ VAR_K_XOR_K1_10X305 ) )
& ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_10X306 ) ) )
=> ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(2,axiom,
! [VAR_R1_85: $i] :
( ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_85 ) )
=> ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ name_k @ VAR_R1_85 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(3,axiom,
! [VAR_V_65: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_65 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(4,axiom,
! [VAR_V_64: $i] : ( pred_equal @ VAR_V_64 @ VAR_V_64 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(5,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(6,axiom,
! [VAR_V_61: $i,VAR_V_62: $i] :
( ( ( pred_attacker @ VAR_V_62 )
& ( pred_attacker @ VAR_V_61 ) )
=> ( pred_mess @ VAR_V_62 @ VAR_V_61 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(7,axiom,
! [VAR_V_59: $i,VAR_V_60X30: $i] :
( ( ( pred_mess @ VAR_V_60X30 @ VAR_V_59 )
& ( pred_attacker @ VAR_V_60X30 ) )
=> ( pred_attacker @ VAR_V_59 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(8,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(9,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(10,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(11,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(12,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(13,axiom,
! [VAR_V_53: $i] :
( ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_53 ) )
=> ( pred_attacker @ VAR_V_53 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(14,axiom,
! [VAR_V_50X30: $i] :
( ( pred_attacker @ VAR_V_50X30 )
=> ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_50X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(15,axiom,
! [VAR_V_47: $i] :
( ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_47 ) )
=> ( pred_attacker @ VAR_V_47 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(16,axiom,
! [VAR_V_44: $i] :
( ( pred_attacker @ VAR_V_44 )
=> ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_44 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(17,axiom,
! [VAR_V_41: $i] :
( ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_41 ) )
=> ( pred_attacker @ VAR_V_41 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(18,axiom,
! [VAR_V_38: $i] :
( ( pred_attacker @ VAR_V_38 )
=> ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_38 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(19,axiom,
! [VAR_V_35: $i] :
( ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_35 ) )
=> ( pred_attacker @ VAR_V_35 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(20,axiom,
! [VAR_V_32: $i] :
( ( pred_attacker @ VAR_V_32 )
=> ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_32 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(21,axiom,
pred_attacker @ constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(22,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(23,axiom,
! [VAR_V_30X30: $i] :
( ( pred_attacker @ VAR_V_30X30 )
=> ( pred_attacker @ ( constr_h @ VAR_V_30X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(24,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(25,axiom,
! [VAR_V_26: $i,VAR_V_27: $i] :
( ( ( pred_attacker @ VAR_V_26 )
& ( pred_attacker @ VAR_V_27 ) )
=> ( pred_attacker @ ( constr_xor @ VAR_V_26 @ VAR_V_27 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(26,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',ax39) ).
thf(27,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',ax38) ).
thf(28,axiom,
! [VAR_X_9: $i] :
( ( constr_xor @ VAR_X_9 @ constr_ZERO )
= VAR_X_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(29,axiom,
! [VAR_X_10X30: $i] :
( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
= constr_ZERO ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(30,axiom,
name_k != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(31,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(32,axiom,
name_c != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(33,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(34,axiom,
constr_ZERO != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(35,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(36,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(37,axiom,
constr_CONST_4 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(38,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(39,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(40,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(41,axiom,
constr_CONST_3 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(42,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(43,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(44,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(45,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(46,axiom,
constr_CONST_2 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(47,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(48,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(49,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(50,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(51,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(52,axiom,
constr_CONST_1 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(53,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(54,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(55,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(56,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(57,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(58,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(59,axiom,
constr_CONST_0x30 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(60,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(61,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(62,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(63,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(64,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(65,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(66,conjecture,
pred_attacker @ name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(67,negated_conjecture,
( ( pred_attacker @ name_objective )
= $false ),
inference(negate_conjecture,[status(cth)],[66]) ).
thf(68,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(unfold_def,[status(thm)],[67]) ).
thf(69,plain,
( ( ! [VAR_K_XOR_K1_10X305: $i,VAR_R1_10X306: $i] :
( ( ( pred_attacker @ ( tuple_T_in_3 @ VAR_K_XOR_K1_10X305 ) )
& ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_10X306 ) ) )
=> ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(70,plain,
( ( ! [VAR_R1_85: $i] :
( ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_85 ) )
=> ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ name_k @ VAR_R1_85 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(71,plain,
( ( ! [VAR_V_65: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_65 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(72,plain,
( ( ! [VAR_V_64: $i] : ( pred_equal @ VAR_V_64 @ VAR_V_64 ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(73,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(74,plain,
( ( ! [VAR_V_61: $i,VAR_V_62: $i] :
( ( ( pred_attacker @ VAR_V_62 )
& ( pred_attacker @ VAR_V_61 ) )
=> ( pred_mess @ VAR_V_62 @ VAR_V_61 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(75,plain,
( ( ! [VAR_V_59: $i,VAR_V_60X30: $i] :
( ( ( pred_mess @ VAR_V_60X30 @ VAR_V_59 )
& ( pred_attacker @ VAR_V_60X30 ) )
=> ( pred_attacker @ VAR_V_59 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(76,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(77,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(78,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(79,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(80,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(81,plain,
( ( ! [VAR_V_53: $i] :
( ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_53 ) )
=> ( pred_attacker @ VAR_V_53 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(82,plain,
( ( ! [VAR_V_50X30: $i] :
( ( pred_attacker @ VAR_V_50X30 )
=> ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_50X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(83,plain,
( ( ! [VAR_V_47: $i] :
( ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_47 ) )
=> ( pred_attacker @ VAR_V_47 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(84,plain,
( ( ! [VAR_V_44: $i] :
( ( pred_attacker @ VAR_V_44 )
=> ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_44 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(85,plain,
( ( ! [VAR_V_41: $i] :
( ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_41 ) )
=> ( pred_attacker @ VAR_V_41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(86,plain,
( ( ! [VAR_V_38: $i] :
( ( pred_attacker @ VAR_V_38 )
=> ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_38 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(87,plain,
( ( ! [VAR_V_35: $i] :
( ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_35 ) )
=> ( pred_attacker @ VAR_V_35 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(88,plain,
( ( ! [VAR_V_32: $i] :
( ( pred_attacker @ VAR_V_32 )
=> ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_32 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(89,plain,
( ( pred_attacker @ constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(90,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(91,plain,
( ( ! [VAR_V_30X30: $i] :
( ( pred_attacker @ VAR_V_30X30 )
=> ( pred_attacker @ ( constr_h @ VAR_V_30X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(92,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(93,plain,
( ( ! [VAR_V_26: $i,VAR_V_27: $i] :
( ( ( pred_attacker @ VAR_V_26 )
& ( pred_attacker @ VAR_V_27 ) )
=> ( pred_attacker @ ( constr_xor @ VAR_V_26 @ VAR_V_27 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(94,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)],[26]) ).
thf(95,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)],[27]) ).
thf(96,plain,
( ( ! [VAR_X_9: $i] :
( ( constr_xor @ VAR_X_9 @ constr_ZERO )
= VAR_X_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(97,plain,
( ( ! [VAR_X_10X30: $i] :
( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
= constr_ZERO ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(98,plain,
( ( ( name_k != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(99,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(100,plain,
( ( ( name_c != name_k ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(101,plain,
( ( ( constr_ZERO != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(102,plain,
( ( ( constr_ZERO != name_k ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(103,plain,
( ( ( constr_ZERO != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(104,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(105,plain,
( ( ( constr_CONST_4 != name_k ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(106,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(107,plain,
( ( ( constr_CONST_4 != constr_ZERO ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(108,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(109,plain,
( ( ( constr_CONST_3 != name_k ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(110,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(111,plain,
( ( ( constr_CONST_3 != constr_ZERO ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(112,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(113,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(114,plain,
( ( ( constr_CONST_2 != name_k ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(115,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(116,plain,
( ( ( constr_CONST_2 != constr_ZERO ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(117,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(118,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(119,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(120,plain,
( ( ( constr_CONST_1 != name_k ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(121,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(122,plain,
( ( ( constr_CONST_1 != constr_ZERO ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(123,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(124,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(125,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(126,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(127,plain,
( ( ( constr_CONST_0x30 != name_k ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(128,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(129,plain,
( ( ( constr_CONST_0x30 != constr_ZERO ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(130,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(131,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(132,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(133,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(134,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(polarity_switch,[status(thm)],[68]) ).
thf(135,plain,
( ( ! [VAR_K_XOR_K1_10X305: $i] :
~ ( pred_attacker @ ( tuple_T_in_3 @ VAR_K_XOR_K1_10X305 ) )
| ! [VAR_R1_10X306: $i] :
~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_10X306 ) )
| ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(136,plain,
( ( ! [VAR_R1_85: $i] :
( ~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_85 ) )
| ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ name_k @ VAR_R1_85 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(137,plain,
( ( ! [VAR_V_61: $i,VAR_V_62: $i] :
( ~ ( pred_attacker @ VAR_V_62 )
| ~ ( pred_attacker @ VAR_V_61 )
| ( pred_mess @ VAR_V_62 @ VAR_V_61 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(138,plain,
( ( ! [VAR_V_59: $i] :
( ! [VAR_V_60X30: $i] :
( ~ ( pred_attacker @ VAR_V_60X30 )
| ~ ( pred_mess @ VAR_V_60X30 @ VAR_V_59 ) )
| ( pred_attacker @ VAR_V_59 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(139,plain,
( ( ! [VAR_V_53: $i] :
( ~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_53 ) )
| ( pred_attacker @ VAR_V_53 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(140,plain,
( ( ! [VAR_V_50X30: $i] :
( ~ ( pred_attacker @ VAR_V_50X30 )
| ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_50X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(141,plain,
( ( ! [VAR_V_47: $i] :
( ~ ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_47 ) )
| ( pred_attacker @ VAR_V_47 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(142,plain,
( ( ! [VAR_V_44: $i] :
( ~ ( pred_attacker @ VAR_V_44 )
| ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_44 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(143,plain,
( ( ! [VAR_V_41: $i] :
( ~ ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_41 ) )
| ( pred_attacker @ VAR_V_41 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(144,plain,
( ( ! [VAR_V_38: $i] :
( ~ ( pred_attacker @ VAR_V_38 )
| ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_38 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(145,plain,
( ( ! [VAR_V_35: $i] :
( ~ ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_35 ) )
| ( pred_attacker @ VAR_V_35 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(146,plain,
( ( ! [VAR_V_32: $i] :
( ~ ( pred_attacker @ VAR_V_32 )
| ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_32 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(147,plain,
( ( ! [VAR_V_30X30: $i] :
( ~ ( pred_attacker @ VAR_V_30X30 )
| ( pred_attacker @ ( constr_h @ VAR_V_30X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(148,plain,
( ( ! [VAR_V_26: $i,VAR_V_27: $i] :
( ~ ( pred_attacker @ VAR_V_26 )
| ~ ( pred_attacker @ VAR_V_27 )
| ( pred_attacker @ ( constr_xor @ VAR_V_26 @ VAR_V_27 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(149,plain,
( ( ( name_k != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(150,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[99]) ).
thf(151,plain,
( ( ( name_c != name_k ) )
= $true ),
inference(extcnf_combined,[status(esa)],[100]) ).
thf(152,plain,
( ( ( constr_ZERO != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(153,plain,
( ( ( constr_ZERO != name_k ) )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(154,plain,
( ( ( constr_ZERO != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(155,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[104]) ).
thf(156,plain,
( ( ( constr_CONST_4 != name_k ) )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
thf(157,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(158,plain,
( ( ( constr_CONST_4 != constr_ZERO ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(159,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[108]) ).
thf(160,plain,
( ( ( constr_CONST_3 != name_k ) )
= $true ),
inference(extcnf_combined,[status(esa)],[109]) ).
thf(161,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[110]) ).
thf(162,plain,
( ( ( constr_CONST_3 != constr_ZERO ) )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(163,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(164,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(165,plain,
( ( ( constr_CONST_2 != name_k ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(166,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[115]) ).
thf(167,plain,
( ( ( constr_CONST_2 != constr_ZERO ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(168,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(169,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[118]) ).
thf(170,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(171,plain,
( ( ( constr_CONST_1 != name_k ) )
= $true ),
inference(extcnf_combined,[status(esa)],[120]) ).
thf(172,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(173,plain,
( ( ( constr_CONST_1 != constr_ZERO ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(174,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(175,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(176,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(177,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(178,plain,
( ( ( constr_CONST_0x30 != name_k ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(179,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(180,plain,
( ( ( constr_CONST_0x30 != constr_ZERO ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(181,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(182,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(183,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[132]) ).
thf(184,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[133]) ).
thf(185,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(186,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(187,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(188,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(189,plain,
( ( ( constr_CONST_0x30 != constr_ZERO ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(190,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(191,plain,
( ( ( constr_CONST_0x30 != name_k ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(192,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(193,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(194,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(195,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(196,plain,
( ( ( constr_CONST_1 != constr_ZERO ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(197,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(198,plain,
( ( ( constr_CONST_1 != name_k ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(199,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(200,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(201,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(202,plain,
( ( ( constr_CONST_2 != constr_ZERO ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(203,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(204,plain,
( ( ( constr_CONST_2 != name_k ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(205,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(206,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(207,plain,
( ( ( constr_CONST_3 != constr_ZERO ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(208,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(209,plain,
( ( ( constr_CONST_3 != name_k ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(210,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(211,plain,
( ( ( constr_CONST_4 != constr_ZERO ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(212,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(213,plain,
( ( ( constr_CONST_4 != name_k ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(214,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(215,plain,
( ( ( constr_ZERO != name_c ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(216,plain,
( ( ( constr_ZERO != name_k ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(217,plain,
( ( ( constr_ZERO != name_objective ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(218,plain,
( ( ( name_c != name_k ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(219,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(220,plain,
( ( ( name_k != name_objective ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(221,plain,
( ( ! [VAR_X_10X30: $i] :
( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
= constr_ZERO ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(222,plain,
( ( ! [VAR_X_9: $i] :
( ( constr_xor @ VAR_X_9 @ constr_ZERO )
= VAR_X_9 ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(223,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)],[95]) ).
thf(224,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)],[94]) ).
thf(225,plain,
( ( ! [VAR_V_26: $i,VAR_V_27: $i] :
( ~ ( pred_attacker @ VAR_V_26 )
| ~ ( pred_attacker @ VAR_V_27 )
| ( pred_attacker @ ( constr_xor @ VAR_V_26 @ VAR_V_27 ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(226,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(227,plain,
( ( ! [VAR_V_30X30: $i] :
( ~ ( pred_attacker @ VAR_V_30X30 )
| ( pred_attacker @ ( constr_h @ VAR_V_30X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(228,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(229,plain,
( ( pred_attacker @ constr_ZERO )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(230,plain,
( ( ! [VAR_V_32: $i] :
( ~ ( pred_attacker @ VAR_V_32 )
| ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_32 ) ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(231,plain,
( ( ! [VAR_V_35: $i] :
( ~ ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_35 ) )
| ( pred_attacker @ VAR_V_35 ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(232,plain,
( ( ! [VAR_V_38: $i] :
( ~ ( pred_attacker @ VAR_V_38 )
| ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_38 ) ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(233,plain,
( ( ! [VAR_V_41: $i] :
( ~ ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_41 ) )
| ( pred_attacker @ VAR_V_41 ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(234,plain,
( ( ! [VAR_V_44: $i] :
( ~ ( pred_attacker @ VAR_V_44 )
| ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_44 ) ) ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(235,plain,
( ( ! [VAR_V_47: $i] :
( ~ ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_47 ) )
| ( pred_attacker @ VAR_V_47 ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(236,plain,
( ( ! [VAR_V_50X30: $i] :
( ~ ( pred_attacker @ VAR_V_50X30 )
| ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_50X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(237,plain,
( ( ! [VAR_V_53: $i] :
( ~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_53 ) )
| ( pred_attacker @ VAR_V_53 ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(238,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(239,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(240,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(241,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(242,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(243,plain,
( ( ! [VAR_V_59: $i] :
( ! [VAR_V_60X30: $i] :
( ~ ( pred_attacker @ VAR_V_60X30 )
| ~ ( pred_mess @ VAR_V_60X30 @ VAR_V_59 ) )
| ( pred_attacker @ VAR_V_59 ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(244,plain,
( ( ! [VAR_V_61: $i,VAR_V_62: $i] :
( ~ ( pred_attacker @ VAR_V_62 )
| ~ ( pred_attacker @ VAR_V_61 )
| ( pred_mess @ VAR_V_62 @ VAR_V_61 ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(245,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(246,plain,
( ( ! [VAR_V_64: $i] : ( pred_equal @ VAR_V_64 @ VAR_V_64 ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(247,plain,
( ( ! [VAR_V_65: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_65 ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(248,plain,
( ( ! [VAR_R1_85: $i] :
( ~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_85 ) )
| ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ name_k @ VAR_R1_85 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(249,plain,
( ( ! [VAR_K_XOR_K1_10X305: $i] :
~ ( pred_attacker @ ( tuple_T_in_3 @ VAR_K_XOR_K1_10X305 ) )
| ! [VAR_R1_10X306: $i] :
~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_10X306 ) )
| ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(250,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(251,plain,
( ( constr_CONST_0x30 = constr_CONST_1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(252,plain,
( ( constr_CONST_0x30 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(253,plain,
( ( constr_CONST_0x30 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(254,plain,
( ( constr_CONST_0x30 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(255,plain,
( ( constr_CONST_0x30 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(256,plain,
( ( constr_CONST_0x30 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(257,plain,
( ( constr_CONST_0x30 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(258,plain,
( ( constr_CONST_0x30 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(259,plain,
( ( constr_CONST_1 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(260,plain,
( ( constr_CONST_1 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(261,plain,
( ( constr_CONST_1 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(262,plain,
( ( constr_CONST_1 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(263,plain,
( ( constr_CONST_1 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(264,plain,
( ( constr_CONST_1 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(265,plain,
( ( constr_CONST_1 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(266,plain,
( ( constr_CONST_2 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(267,plain,
( ( constr_CONST_2 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(268,plain,
( ( constr_CONST_2 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(269,plain,
( ( constr_CONST_2 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(270,plain,
( ( constr_CONST_2 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(271,plain,
( ( constr_CONST_2 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(272,plain,
( ( constr_CONST_3 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(273,plain,
( ( constr_CONST_3 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(274,plain,
( ( constr_CONST_3 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(275,plain,
( ( constr_CONST_3 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(276,plain,
( ( constr_CONST_3 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(277,plain,
( ( constr_CONST_4 = constr_ZERO )
= $false ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(278,plain,
( ( constr_CONST_4 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(279,plain,
( ( constr_CONST_4 = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(280,plain,
( ( constr_CONST_4 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(281,plain,
( ( constr_ZERO = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(282,plain,
( ( constr_ZERO = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(283,plain,
( ( constr_ZERO = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(284,plain,
( ( name_c = name_k )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(285,plain,
( ( name_c = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(286,plain,
( ( name_k = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(287,plain,
! [SV1: $i] :
( ( ( constr_xor @ SV1 @ SV1 )
= constr_ZERO )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(288,plain,
! [SV2: $i] :
( ( ( constr_xor @ SV2 @ constr_ZERO )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(289,plain,
! [SV3: $i] :
( ( ! [SY27: $i] :
( ( constr_xor @ SV3 @ SY27 )
= ( constr_xor @ SY27 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(290,plain,
! [SV4: $i] :
( ( ! [SY28: $i,SY29: $i] :
( ( constr_xor @ SV4 @ ( constr_xor @ SY28 @ SY29 ) )
= ( constr_xor @ ( constr_xor @ SV4 @ SY28 ) @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(291,plain,
! [SV5: $i] :
( ( ! [SY30: $i] :
( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SY30 )
| ( pred_attacker @ ( constr_xor @ SV5 @ SY30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(292,plain,
! [SV6: $i] :
( ( ~ ( pred_attacker @ SV6 )
| ( pred_attacker @ ( constr_h @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(293,plain,
! [SV7: $i] :
( ( ~ ( pred_attacker @ SV7 )
| ( pred_attacker @ ( tuple_T_out_4 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(294,plain,
! [SV8: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_out_4 @ SV8 ) )
| ( pred_attacker @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(295,plain,
! [SV9: $i] :
( ( ~ ( pred_attacker @ SV9 )
| ( pred_attacker @ ( tuple_T_out_2 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(296,plain,
! [SV10: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_out_2 @ SV10 ) )
| ( pred_attacker @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(297,plain,
! [SV11: $i] :
( ( ~ ( pred_attacker @ SV11 )
| ( pred_attacker @ ( tuple_T_in_3 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(298,plain,
! [SV12: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV12 ) )
| ( pred_attacker @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(299,plain,
! [SV13: $i] :
( ( ~ ( pred_attacker @ SV13 )
| ( pred_attacker @ ( tuple_T_in_1 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(300,plain,
! [SV14: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV14 ) )
| ( pred_attacker @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(301,plain,
! [SV15: $i] :
( ( ! [SY31: $i] :
( ~ ( pred_attacker @ SY31 )
| ~ ( pred_mess @ SY31 @ SV15 ) )
| ( pred_attacker @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(302,plain,
! [SV16: $i] :
( ( ! [SY32: $i] :
( ~ ( pred_attacker @ SY32 )
| ~ ( pred_attacker @ SV16 )
| ( pred_mess @ SY32 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(303,plain,
! [SV17: $i] :
( ( pred_equal @ SV17 @ SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(304,plain,
! [SV18: $i] :
( ( pred_attacker @ ( name_new0x2Dname @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(305,plain,
! [SV19: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV19 ) )
| ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ name_k @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(306,plain,
( ( ( ! [VAR_K_XOR_K1_10X305: $i] :
~ ( pred_attacker @ ( tuple_T_in_3 @ VAR_K_XOR_K1_10X305 ) )
| ! [VAR_R1_10X306: $i] :
~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_10X306 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(307,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(308,plain,
! [SV20: $i,SV3: $i] :
( ( ( constr_xor @ SV3 @ SV20 )
= ( constr_xor @ SV20 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(309,plain,
! [SV21: $i,SV4: $i] :
( ( ! [SY33: $i] :
( ( constr_xor @ SV4 @ ( constr_xor @ SV21 @ SY33 ) )
= ( constr_xor @ ( constr_xor @ SV4 @ SV21 ) @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(310,plain,
! [SV22: $i,SV5: $i] :
( ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV22 )
| ( pred_attacker @ ( constr_xor @ SV5 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(311,plain,
! [SV6: $i] :
( ( ( ~ ( pred_attacker @ SV6 ) )
= $true )
| ( ( pred_attacker @ ( constr_h @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(312,plain,
! [SV7: $i] :
( ( ( ~ ( pred_attacker @ SV7 ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(313,plain,
! [SV8: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_out_4 @ SV8 ) ) )
= $true )
| ( ( pred_attacker @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(314,plain,
! [SV9: $i] :
( ( ( ~ ( pred_attacker @ SV9 ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_2 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(315,plain,
! [SV10: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_out_2 @ SV10 ) ) )
= $true )
| ( ( pred_attacker @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(316,plain,
! [SV11: $i] :
( ( ( ~ ( pred_attacker @ SV11 ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_in_3 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(317,plain,
! [SV12: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV12 ) ) )
= $true )
| ( ( pred_attacker @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(318,plain,
! [SV13: $i] :
( ( ( ~ ( pred_attacker @ SV13 ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_in_1 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(319,plain,
! [SV14: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV14 ) ) )
= $true )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(320,plain,
! [SV15: $i] :
( ( ( ! [SY31: $i] :
( ~ ( pred_attacker @ SY31 )
| ~ ( pred_mess @ SY31 @ SV15 ) ) )
= $true )
| ( ( pred_attacker @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(321,plain,
! [SV16: $i,SV23: $i] :
( ( ~ ( pred_attacker @ SV23 )
| ~ ( pred_attacker @ SV16 )
| ( pred_mess @ SV23 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(322,plain,
! [SV19: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV19 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ name_k @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(323,plain,
( ( ( ! [VAR_K_XOR_K1_10X305: $i] :
~ ( pred_attacker @ ( tuple_T_in_3 @ VAR_K_XOR_K1_10X305 ) ) )
= $true )
| ( ( ! [VAR_R1_10X306: $i] :
~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_10X306 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(324,plain,
! [SV24: $i,SV21: $i,SV4: $i] :
( ( ( constr_xor @ SV4 @ ( constr_xor @ SV21 @ SV24 ) )
= ( constr_xor @ ( constr_xor @ SV4 @ SV21 ) @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(325,plain,
! [SV22: $i,SV5: $i] :
( ( ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV22 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(326,plain,
! [SV6: $i] :
( ( ( pred_attacker @ SV6 )
= $false )
| ( ( pred_attacker @ ( constr_h @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(327,plain,
! [SV7: $i] :
( ( ( pred_attacker @ SV7 )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_4 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(328,plain,
! [SV8: $i] :
( ( ( pred_attacker @ ( tuple_T_out_4 @ SV8 ) )
= $false )
| ( ( pred_attacker @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(329,plain,
! [SV9: $i] :
( ( ( pred_attacker @ SV9 )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_2 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(330,plain,
! [SV10: $i] :
( ( ( pred_attacker @ ( tuple_T_out_2 @ SV10 ) )
= $false )
| ( ( pred_attacker @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(331,plain,
! [SV11: $i] :
( ( ( pred_attacker @ SV11 )
= $false )
| ( ( pred_attacker @ ( tuple_T_in_3 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(332,plain,
! [SV12: $i] :
( ( ( pred_attacker @ ( tuple_T_in_3 @ SV12 ) )
= $false )
| ( ( pred_attacker @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(333,plain,
! [SV13: $i] :
( ( ( pred_attacker @ SV13 )
= $false )
| ( ( pred_attacker @ ( tuple_T_in_1 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(334,plain,
! [SV14: $i] :
( ( ( pred_attacker @ ( tuple_T_in_1 @ SV14 ) )
= $false )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(335,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( pred_attacker @ SV25 )
| ~ ( pred_mess @ SV25 @ SV15 ) )
= $true )
| ( ( pred_attacker @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(336,plain,
! [SV16: $i,SV23: $i] :
( ( ( ~ ( pred_attacker @ SV23 )
| ~ ( pred_attacker @ SV16 ) )
= $true )
| ( ( pred_mess @ SV23 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(337,plain,
! [SV19: $i] :
( ( ( pred_attacker @ ( tuple_T_in_1 @ SV19 ) )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ name_k @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(338,plain,
! [SV26: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV26 ) ) )
= $true )
| ( ( ! [VAR_R1_10X306: $i] :
~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_10X306 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(339,plain,
! [SV22: $i,SV5: $i] :
( ( ( ~ ( pred_attacker @ SV5 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV22 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(340,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( pred_attacker @ SV25 ) )
= $true )
| ( ( ~ ( pred_mess @ SV25 @ SV15 ) )
= $true )
| ( ( pred_attacker @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(341,plain,
! [SV16: $i,SV23: $i] :
( ( ( ~ ( pred_attacker @ SV23 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV16 ) )
= $true )
| ( ( pred_mess @ SV23 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(342,plain,
! [SV26: $i] :
( ( ( pred_attacker @ ( tuple_T_in_3 @ SV26 ) )
= $false )
| ( ( ! [VAR_R1_10X306: $i] :
~ ( pred_attacker @ ( tuple_T_in_1 @ VAR_R1_10X306 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(343,plain,
! [SV22: $i,SV5: $i] :
( ( ( pred_attacker @ SV5 )
= $false )
| ( ( ~ ( pred_attacker @ SV22 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(344,plain,
! [SV15: $i,SV25: $i] :
( ( ( pred_attacker @ SV25 )
= $false )
| ( ( ~ ( pred_mess @ SV25 @ SV15 ) )
= $true )
| ( ( pred_attacker @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(345,plain,
! [SV16: $i,SV23: $i] :
( ( ( pred_attacker @ SV23 )
= $false )
| ( ( ~ ( pred_attacker @ SV16 ) )
= $true )
| ( ( pred_mess @ SV23 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(346,plain,
! [SV26: $i,SV27: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV27 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_in_3 @ SV26 ) )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(347,plain,
! [SV5: $i,SV22: $i] :
( ( ( pred_attacker @ SV22 )
= $false )
| ( ( pred_attacker @ SV5 )
= $false )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(348,plain,
! [SV15: $i,SV25: $i] :
( ( ( pred_mess @ SV25 @ SV15 )
= $false )
| ( ( pred_attacker @ SV25 )
= $false )
| ( ( pred_attacker @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(349,plain,
! [SV23: $i,SV16: $i] :
( ( ( pred_attacker @ SV16 )
= $false )
| ( ( pred_attacker @ SV23 )
= $false )
| ( ( pred_mess @ SV23 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(350,plain,
! [SV26: $i,SV27: $i] :
( ( ( pred_attacker @ ( tuple_T_in_1 @ SV27 ) )
= $false )
| ( ( pred_attacker @ ( tuple_T_in_3 @ SV26 ) )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(351,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[226,350,349,348,347,337,334,333,332,331,330,329,328,327,326,324,308,307,304,303,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,245,242,241,240,239,238,229,228]) ).
thf(352,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW951+1 : TPTP v8.1.0. Released v7.4.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n032.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 16:09:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 65
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 .
% 0.13/0.37 (rf:0,axioms:65,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:67,loop_count:0,foatp_calls:0,translation:fof_full)........
% 0.19/0.45
% 0.19/0.45 ********************************
% 0.19/0.45 * All subproblems solved! *
% 0.19/0.45 ********************************
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:65,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:351,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.47
% 0.19/0.47 %**** Beginning of derivation protocol ****
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
% 0.19/0.47
% 0.19/0.47 %**** End of derivation protocol ****
% 0.19/0.47 %**** no. of clauses in derivation: 352 ****
% 0.19/0.47 %**** clause counter: 351 ****
% 0.19/0.47
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:65,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:351,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------