%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:02:14 AM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 190 ( 135 unt; 0 typ; 0 def)
% Number of atoms : 771 ( 251 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 774 ( 157 ~; 108 |; 12 &; 458 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 163 ( 0 ^; 163 !; 0 ?; 163 :)
% 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(3,axiom,
! [VAR_V_65: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_65 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
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(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(33,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(36,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(40,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(45,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(51,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(58,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
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_V_65: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_65 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(71,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(72,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(73,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(74,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(75,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(76,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(77,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(78,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(79,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(80,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(81,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(82,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(83,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(84,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(85,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(86,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(87,plain,
( ( pred_attacker @ constr_ZERO )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(88,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(89,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(90,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(91,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(92,plain,
( ( name_k != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(93,plain,
( ( name_c != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(94,plain,
( ( constr_ZERO != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(95,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(96,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(97,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(98,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(99,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(100,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(polarity_switch,[status(thm)],[68]) ).
thf(101,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(102,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(103,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(104,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(105,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(106,plain,
( ( constr_ZERO != name_objective )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(107,plain,
( ( name_c != name_objective )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(108,plain,
( ( name_k != name_objective )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(109,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)],[91]) ).
thf(110,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(111,plain,
( ( ! [VAR_V_30X30: $i] :
( ( pred_attacker @ VAR_V_30X30 )
=> ( pred_attacker @ ( constr_h @ VAR_V_30X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(112,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(113,plain,
( ( pred_attacker @ constr_ZERO )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(114,plain,
( ( ! [VAR_V_32: $i] :
( ( pred_attacker @ VAR_V_32 )
=> ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_32 ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(115,plain,
( ( ! [VAR_V_35: $i] :
( ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_35 ) )
=> ( pred_attacker @ VAR_V_35 ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(116,plain,
( ( ! [VAR_V_38: $i] :
( ( pred_attacker @ VAR_V_38 )
=> ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_38 ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(117,plain,
( ( ! [VAR_V_41: $i] :
( ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_41 ) )
=> ( pred_attacker @ VAR_V_41 ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(118,plain,
( ( ! [VAR_V_44: $i] :
( ( pred_attacker @ VAR_V_44 )
=> ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_44 ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(119,plain,
( ( ! [VAR_V_47: $i] :
( ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_47 ) )
=> ( pred_attacker @ VAR_V_47 ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(120,plain,
( ( ! [VAR_V_50X30: $i] :
( ( pred_attacker @ VAR_V_50X30 )
=> ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_50X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(121,plain,
( ( ! [VAR_V_53: $i] :
( ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_53 ) )
=> ( pred_attacker @ VAR_V_53 ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(122,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(123,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(124,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(125,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(126,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(127,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(copy,[status(thm)],[73]) ).
thf(128,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)],[72]) ).
thf(129,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(130,plain,
( ( ! [VAR_V_65: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_65 ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(131,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(copy,[status(thm)],[69]) ).
thf(132,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(133,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_T_out_4 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(134,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_T_out_4 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(135,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_T_out_2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(136,plain,
( ( name_c != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(137,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( constr_xor @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(138,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX1 )
| ~ ( pred_attacker @ SX0 ) )
| ( pred_mess @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(139,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_T_in_3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(140,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(141,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( constr_h @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(142,plain,
( ( constr_ZERO != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(143,plain,
( ( name_k != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(144,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_T_in_3 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(145,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_T_in_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(146,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_mess @ SX1 @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(147,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_T_out_2 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(148,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(149,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SX0 ) )
| ~ ( pred_attacker @ ( tuple_T_in_1 @ SX1 ) ) )
| ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(150,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_T_in_1 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(151,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(152,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(153,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(154,plain,
! [SV1: $i] :
( ( pred_attacker @ ( name_new0x2Dname @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(155,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(156,plain,
! [SV2: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_out_4 @ SV2 ) )
| ( pred_attacker @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(157,plain,
! [SV3: $i] :
( ( ~ ( pred_attacker @ SV3 )
| ( pred_attacker @ ( tuple_T_out_4 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(158,plain,
! [SV4: $i] :
( ( ~ ( pred_attacker @ SV4 )
| ( pred_attacker @ ( tuple_T_out_2 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(159,plain,
( ( name_c = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(160,plain,
! [SV5: $i] :
( ( ! [SY18: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SY18 ) )
| ( pred_attacker @ ( constr_xor @ SV5 @ SY18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(161,plain,
! [SV6: $i] :
( ( ! [SY19: $i] :
( ~ ~ ( ~ ( pred_attacker @ SY19 )
| ~ ( pred_attacker @ SV6 ) )
| ( pred_mess @ SY19 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(162,plain,
! [SV7: $i] :
( ( ~ ( pred_attacker @ SV7 )
| ( pred_attacker @ ( tuple_T_in_3 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(163,plain,
( ( constr_CONST_0x30 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(164,plain,
! [SV8: $i] :
( ( ~ ( pred_attacker @ SV8 )
| ( pred_attacker @ ( constr_h @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(165,plain,
( ( constr_ZERO = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(166,plain,
( ( name_k = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(167,plain,
! [SV9: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV9 ) )
| ( pred_attacker @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(168,plain,
! [SV10: $i] :
( ( ~ ( pred_attacker @ SV10 )
| ( pred_attacker @ ( tuple_T_in_1 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(169,plain,
! [SV11: $i] :
( ( ! [SY20: $i] :
( ~ ~ ( ~ ( pred_mess @ SY20 @ SV11 )
| ~ ( pred_attacker @ SY20 ) )
| ( pred_attacker @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV12: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_out_2 @ SV12 ) )
| ( pred_attacker @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(171,plain,
( ( constr_CONST_4 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(172,plain,
! [SV13: $i] :
( ( ! [SY21: $i] :
( ~ ~ ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV13 ) )
| ~ ( pred_attacker @ ( tuple_T_in_1 @ SY21 ) ) )
| ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(173,plain,
! [SV14: $i] :
( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV14 ) )
| ( pred_attacker @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(174,plain,
( ( constr_CONST_1 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(175,plain,
( ( constr_CONST_2 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(176,plain,
( ( constr_CONST_3 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(177,plain,
! [SV2: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_out_4 @ SV2 ) ) )
= $true )
| ( ( pred_attacker @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV3: $i] :
( ( ( ~ ( pred_attacker @ SV3 ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV4: $i] :
( ( ( ~ ( pred_attacker @ SV4 ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_2 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(180,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV15 ) )
| ( pred_attacker @ ( constr_xor @ SV5 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(181,plain,
! [SV6: $i,SV16: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV16 )
| ~ ( pred_attacker @ SV6 ) )
| ( pred_mess @ SV16 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(182,plain,
! [SV7: $i] :
( ( ( ~ ( pred_attacker @ SV7 ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_in_3 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(183,plain,
! [SV8: $i] :
( ( ( ~ ( pred_attacker @ SV8 ) )
= $true )
| ( ( pred_attacker @ ( constr_h @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(184,plain,
! [SV9: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV9 ) ) )
= $true )
| ( ( pred_attacker @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(185,plain,
! [SV10: $i] :
( ( ( ~ ( pred_attacker @ SV10 ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_in_1 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(186,plain,
! [SV11: $i,SV17: $i] :
( ( ~ ~ ( ~ ( pred_mess @ SV17 @ SV11 )
| ~ ( pred_attacker @ SV17 ) )
| ( pred_attacker @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(187,plain,
! [SV12: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_out_2 @ SV12 ) ) )
= $true )
| ( ( pred_attacker @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(188,plain,
! [SV18: $i,SV13: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV13 ) )
| ~ ( pred_attacker @ ( tuple_T_in_1 @ SV18 ) ) )
| ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(189,plain,
! [SV14: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV14 ) ) )
= $true )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(190,plain,
! [SV2: $i] :
( ( ( pred_attacker @ ( tuple_T_out_4 @ SV2 ) )
= $false )
| ( ( pred_attacker @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(191,plain,
! [SV3: $i] :
( ( ( pred_attacker @ SV3 )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_4 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(192,plain,
! [SV4: $i] :
( ( ( pred_attacker @ SV4 )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_2 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(193,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV15 ) ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(194,plain,
! [SV6: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV16 )
| ~ ( pred_attacker @ SV6 ) ) )
= $true )
| ( ( pred_mess @ SV16 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(195,plain,
! [SV7: $i] :
( ( ( pred_attacker @ SV7 )
= $false )
| ( ( pred_attacker @ ( tuple_T_in_3 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(196,plain,
! [SV8: $i] :
( ( ( pred_attacker @ SV8 )
= $false )
| ( ( pred_attacker @ ( constr_h @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(197,plain,
! [SV9: $i] :
( ( ( pred_attacker @ ( tuple_T_in_3 @ SV9 ) )
= $false )
| ( ( pred_attacker @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(198,plain,
! [SV10: $i] :
( ( ( pred_attacker @ SV10 )
= $false )
| ( ( pred_attacker @ ( tuple_T_in_1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV11: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( pred_mess @ SV17 @ SV11 )
| ~ ( pred_attacker @ SV17 ) ) )
= $true )
| ( ( pred_attacker @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(200,plain,
! [SV12: $i] :
( ( ( pred_attacker @ ( tuple_T_out_2 @ SV12 ) )
= $false )
| ( ( pred_attacker @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(201,plain,
! [SV18: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV13 ) )
| ~ ( pred_attacker @ ( tuple_T_in_1 @ SV18 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(202,plain,
! [SV14: $i] :
( ( ( pred_attacker @ ( tuple_T_in_1 @ SV14 ) )
= $false )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(203,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV15 ) ) )
= $false )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(204,plain,
! [SV6: $i,SV16: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV16 )
| ~ ( pred_attacker @ SV6 ) ) )
= $false )
| ( ( pred_mess @ SV16 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(205,plain,
! [SV11: $i,SV17: $i] :
( ( ( ~ ( ~ ( pred_mess @ SV17 @ SV11 )
| ~ ( pred_attacker @ SV17 ) ) )
= $false )
| ( ( pred_attacker @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(206,plain,
! [SV18: $i,SV13: $i] :
( ( ( ~ ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV13 ) )
| ~ ( pred_attacker @ ( tuple_T_in_1 @ SV18 ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(207,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV15 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(208,plain,
! [SV6: $i,SV16: $i] :
( ( ( ~ ( pred_attacker @ SV16 )
| ~ ( pred_attacker @ SV6 ) )
= $true )
| ( ( pred_mess @ SV16 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(209,plain,
! [SV11: $i,SV17: $i] :
( ( ( ~ ( pred_mess @ SV17 @ SV11 )
| ~ ( pred_attacker @ SV17 ) )
= $true )
| ( ( pred_attacker @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(210,plain,
! [SV18: $i,SV13: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV13 ) )
| ~ ( pred_attacker @ ( tuple_T_in_1 @ SV18 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(211,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( pred_attacker @ SV5 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV15 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(212,plain,
! [SV6: $i,SV16: $i] :
( ( ( ~ ( pred_attacker @ SV16 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV6 ) )
= $true )
| ( ( pred_mess @ SV16 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(213,plain,
! [SV11: $i,SV17: $i] :
( ( ( ~ ( pred_mess @ SV17 @ SV11 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV17 ) )
= $true )
| ( ( pred_attacker @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(214,plain,
! [SV18: $i,SV13: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_T_in_3 @ SV13 ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV18 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(215,plain,
! [SV15: $i,SV5: $i] :
( ( ( pred_attacker @ SV5 )
= $false )
| ( ( ~ ( pred_attacker @ SV15 ) )
= $true )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(216,plain,
! [SV6: $i,SV16: $i] :
( ( ( pred_attacker @ SV16 )
= $false )
| ( ( ~ ( pred_attacker @ SV6 ) )
= $true )
| ( ( pred_mess @ SV16 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(217,plain,
! [SV11: $i,SV17: $i] :
( ( ( pred_mess @ SV17 @ SV11 )
= $false )
| ( ( ~ ( pred_attacker @ SV17 ) )
= $true )
| ( ( pred_attacker @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(218,plain,
! [SV18: $i,SV13: $i] :
( ( ( pred_attacker @ ( tuple_T_in_3 @ SV13 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_T_in_1 @ SV18 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(219,plain,
! [SV5: $i,SV15: $i] :
( ( ( pred_attacker @ SV15 )
= $false )
| ( ( pred_attacker @ SV5 )
= $false )
| ( ( pred_attacker @ ( constr_xor @ SV5 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(220,plain,
! [SV16: $i,SV6: $i] :
( ( ( pred_attacker @ SV6 )
= $false )
| ( ( pred_attacker @ SV16 )
= $false )
| ( ( pred_mess @ SV16 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(221,plain,
! [SV11: $i,SV17: $i] :
( ( ( pred_attacker @ SV17 )
= $false )
| ( ( pred_mess @ SV17 @ SV11 )
= $false )
| ( ( pred_attacker @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(222,plain,
! [SV13: $i,SV18: $i] :
( ( ( pred_attacker @ ( tuple_T_in_1 @ SV18 ) )
= $false )
| ( ( pred_attacker @ ( tuple_T_in_3 @ SV13 ) )
= $false )
| ( ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(223,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[110,222,221,220,219,202,200,198,197,196,195,192,191,190,176,175,174,171,166,165,163,159,155,154,129,126,125,124,123,122,113,112]) ).
thf(224,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 17:12:39 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26
% 0.07/0.26 No.of.Axioms: 31
% 0.07/0.26
% 0.07/0.26 Length.of.Defs: 0
% 0.07/0.26
% 0.07/0.26 Contains.Choice.Funs: false
% 0.07/0.26 ...
% 0.07/0.26
% 0.07/0.26 ********************************
% 0.07/0.26 * All subproblems solved! *
% 0.07/0.26 ********************************
% 0.07/0.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:31,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:223,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.26
% 0.07/0.26 %**** Beginning of derivation protocol ****
% 0.07/0.26 % SZS output start CNFRefutation
% See solution above
% 0.07/0.26
% 0.07/0.26 %**** End of derivation protocol ****
% 0.07/0.26 %**** no. of clauses in derivation: 190 ****
% 0.07/0.26 %**** clause counter: 223 ****
% 0.07/0.26
% 0.07/0.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:31,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:223,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------