%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW957+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:11:17 AM UTC 2026
% Result : Theorem 7.80s 4.06s
% Output : Refutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 83
% Syntax : Number of formulae : 168 ( 130 unt; 0 typ; 0 def)
% Number of atoms : 222 ( 104 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 443 ( 92 ~; 0 |; 16 &; 297 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 13 con; 0-2 aty)
% Number of variables : 98 ( 0 ^; 98 !; 0 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_decl,type,
pred_attacker: $i > $o ).
thf(name_objective_decl,type,
name_objective: $i ).
thf(constr_split_decl,type,
constr_split: $i > $i ).
thf(constr_concat_decl,type,
constr_concat: $i > $i > $i ).
thf(tuple_2_decl,type,
tuple_2: $i > $i > $i ).
thf(constr_CONST_1_decl,type,
constr_CONST_1: $i ).
thf(constr_CONST_3_decl,type,
constr_CONST_3: $i ).
thf(constr_CONST_4_decl,type,
constr_CONST_4: $i ).
thf(constr_CONST_0x30_decl,type,
constr_CONST_0x30: $i ).
thf(name_c_decl,type,
name_c: $i ).
thf(name_Kab_decl,type,
name_Kab: $i ).
thf(constr_CONST_2_decl,type,
constr_CONST_2: $i ).
thf(constr_ZERO_decl,type,
constr_ZERO: $i ).
thf(constr_xor_decl,type,
constr_xor: $i > $i > $i ).
thf(name_v_decl,type,
name_v: $i ).
thf(constr_C_decl,type,
constr_C: $i > $i ).
thf(tuple_enc_oracle_out_2_decl,type,
tuple_enc_oracle_out_2: $i > $i > $i ).
thf(tuple_B_out_1_decl,type,
tuple_B_out_1: $i > $i > $i ).
thf(tuple_enc_oracle_in_1_decl,type,
tuple_enc_oracle_in_1: $i > $i ).
thf(pred_mess_decl,type,
pred_mess: $i > $i > $o ).
thf(constr_RC4_decl,type,
constr_RC4: $i > $i > $i ).
thf(tuple_false_decl,type,
tuple_false: $i ).
thf(tuple_true_decl,type,
tuple_true: $i ).
thf(name_new0x2Dname_decl,type,
name_new0x2Dname: $i > $i ).
thf(8,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(101,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(37,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(188,plain,
constr_CONST_0x30 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(32,axiom,
constr_CONST_3 != name_Kab,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(173,plain,
constr_CONST_3 != name_Kab,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ ( A @ constr_xor ) )
= constr_ZERO ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(182,plain,
! [A: $i] :
( ( A @ ( A @ constr_xor ) )
= constr_ZERO ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(22,axiom,
constr_CONST_0x30 != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(143,plain,
constr_CONST_0x30 != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(14,axiom,
constr_ZERO != name_Kab,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(119,plain,
constr_ZERO != name_Kab,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(23,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(146,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(31,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(170,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(47,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(217,plain,
constr_CONST_0x30 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(61,axiom,
name_Kab @ ( name_v @ constr_RC4 ) @ ( name_objective @ constr_C @ ( name_objective @ constr_concat ) @ constr_xor ) @ ( name_v @ tuple_B_out_1 ) @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
thf(247,plain,
name_Kab @ ( name_v @ constr_RC4 ) @ ( name_objective @ constr_C @ ( name_objective @ constr_concat ) @ constr_xor ) @ ( name_v @ tuple_B_out_1 ) @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ constr_xor ) @ constr_C )
= ( B @ constr_C @ ( A @ constr_C @ constr_xor ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(185,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ constr_xor ) @ constr_C )
= ( B @ constr_C @ ( A @ constr_C @ constr_xor ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(81,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
thf(288,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(11,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(110,plain,
constr_CONST_3 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(16,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(125,plain,
constr_ZERO != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(25,axiom,
constr_CONST_2 != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(152,plain,
constr_CONST_2 != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(53,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_enc_oracle_in_1 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(228,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_enc_oracle_in_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(68,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(261,plain,
constr_CONST_4 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(29,axiom,
constr_CONST_4 != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(164,plain,
constr_CONST_4 != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(34,axiom,
name_c != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(179,plain,
name_c != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_enc_oracle_out_2 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(253,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_enc_oracle_out_2 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(57,axiom,
name_objective != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(238,plain,
name_objective != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(77,axiom,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
thf(280,plain,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(83,axiom,
constr_CONST_2 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(293,plain,
constr_CONST_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(4,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(89,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ constr_xor ) )
= ( A @ ( B @ constr_xor ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(116,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ constr_xor ) )
= ( A @ ( B @ constr_xor ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(70,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_split @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(265,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_split @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(43,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ constr_concat ) @ ( C @ ( A @ constr_concat ) @ constr_xor ) )
= ( D @ ( C @ constr_xor ) @ ( B @ ( A @ constr_xor ) @ constr_concat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(206,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ constr_concat ) @ ( C @ ( A @ constr_concat ) @ constr_xor ) )
= ( D @ ( C @ constr_xor ) @ ( B @ ( A @ constr_xor ) @ constr_concat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(55,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
thf(233,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(62,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_enc_oracle_out_2 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(248,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_enc_oracle_out_2 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(72,axiom,
tuple_false @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(270,plain,
tuple_false @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(1,conjecture,
name_objective @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ( name_objective @ pred_attacker ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(85,plain,
~ ( name_objective @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_B_out_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(220,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_B_out_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ tuple_enc_oracle_in_1 @ pred_attacker )
=> ( name_Kab @ ( name_v @ constr_RC4 ) @ ( A @ constr_C @ ( A @ constr_concat ) @ constr_xor ) @ ( name_v @ tuple_enc_oracle_out_2 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
thf(275,plain,
! [A: $i] :
( ( A @ tuple_enc_oracle_in_1 @ pred_attacker )
=> ( name_Kab @ ( name_v @ constr_RC4 ) @ ( A @ constr_C @ ( A @ constr_concat ) @ constr_xor ) @ ( name_v @ tuple_enc_oracle_out_2 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(20,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(137,plain,
constr_CONST_2 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(5,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(92,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(40,axiom,
constr_CONST_2 != name_Kab,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(197,plain,
constr_CONST_2 != name_Kab,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(50,axiom,
constr_CONST_3 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(224,plain,
constr_CONST_3 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(66,axiom,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
thf(256,plain,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(51,axiom,
constr_CONST_4 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(225,plain,
constr_CONST_4 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(45,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(212,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(19,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(134,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(17,axiom,
constr_CONST_3 != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(128,plain,
constr_CONST_3 != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(60,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(244,plain,
constr_CONST_3 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(69,axiom,
constr_CONST_0x30 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(264,plain,
constr_CONST_0x30 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(28,axiom,
constr_CONST_0x30 != name_Kab,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(161,plain,
constr_CONST_0x30 != name_Kab,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(24,axiom,
name_Kab != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(149,plain,
name_Kab != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(33,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(176,plain,
constr_CONST_1 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(38,axiom,
! [A: $i] :
( ( constr_ZERO @ ( A @ constr_xor ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(191,plain,
! [A: $i] :
( ( constr_ZERO @ ( A @ constr_xor ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(80,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
thf(286,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_2 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(82,axiom,
! [A: $i] :
( ( A @ tuple_enc_oracle_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(291,plain,
! [A: $i] :
( ( A @ tuple_enc_oracle_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_2 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
thf(236,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_2 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ constr_concat ) @ constr_split )
= ( B @ ( A @ tuple_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(86,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ constr_concat ) @ constr_split )
= ( B @ ( A @ tuple_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(113,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(74,axiom,
tuple_true @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(274,plain,
tuple_true @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_B_out_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(230,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_B_out_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(7,axiom,
constr_CONST_4 != name_Kab,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(98,plain,
constr_CONST_4 != name_Kab,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(73,axiom,
name_c != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(271,plain,
name_c != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(21,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(140,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(64,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_concat ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(251,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_concat ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(26,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(155,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(52,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_C @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(226,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ constr_C @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(71,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(267,plain,
constr_CONST_2 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(58,axiom,
constr_CONST_1 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(241,plain,
constr_CONST_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(30,axiom,
name_Kab != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(167,plain,
name_Kab != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(44,axiom,
constr_ZERO != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(209,plain,
constr_ZERO != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(39,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).
thf(194,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(78,axiom,
name_c @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
thf(282,plain,
name_c @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(6,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(95,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(63,axiom,
constr_ZERO @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(250,plain,
constr_ZERO @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(42,axiom,
constr_CONST_1 != name_v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(203,plain,
constr_CONST_1 != name_v,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(9,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(104,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(67,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(258,plain,
constr_ZERO != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ constr_xor ) @ ( A @ constr_xor ) )
= ( C @ ( B @ ( A @ constr_xor ) @ constr_xor ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(158,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ constr_xor ) @ ( A @ constr_xor ) )
= ( C @ ( B @ ( A @ constr_xor ) @ constr_xor ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(10,axiom,
constr_CONST_1 != name_Kab,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(107,plain,
constr_CONST_1 != name_Kab,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(59,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_xor ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(242,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_xor ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(84,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_RC4 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(294,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_RC4 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(79,axiom,
name_Kab != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(283,plain,
name_Kab != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(18,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(131,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(41,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(200,plain,
constr_CONST_4 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(76,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(277,plain,
constr_CONST_1 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(15,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(122,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_enc_oracle_out_2 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(215,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_enc_oracle_out_2 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_B_out_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
thf(222,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_B_out_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(296,plain,
$false,
inference(e,[status(thm)],[101,188,173,182,143,119,146,170,217,247,185,288,110,125,152,228,261,164,179,253,238,280,293,89,116,265,206,233,248,270,85,220,275,137,92,197,224,256,225,212,134,128,244,264,161,149,176,191,286,291,236,86,113,274,230,98,271,140,251,155,226,267,241,167,209,194,282,95,250,203,104,258,158,107,242,294,283,131,200,277,122,215,222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW957+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.23/0.48 % Computer : n015.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sat Sep 26 16:41:28 UTC 2026
% 0.23/0.48 % CPUTime :
% 0.23/0.48 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.41/1.34 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.95/1.68 % [INFO] Parsing done (332ms).
% 2.32/1.70 % [INFO] Running in sequential loop mode.
% 3.28/2.33 % [INFO] eprover registered as external prover.
% 3.28/2.34 % [INFO] Scanning for conjecture ...
% 3.49/2.48 % [INFO] Found a conjecture (or negated_conjecture) and 83 axioms. Running axiom selection ...
% 3.87/2.62 % [INFO] Axiom selection finished. Selected 82 axioms (removed 1 axioms).
% 4.11/2.73 % [INFO] Problem is first-order (TPTP FOF).
% 4.11/2.74 % [INFO] Type checking passed.
% 4.11/2.75 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 7.31/4.05 % External prover 'e' found a proof!
% 7.31/4.05 % [INFO] Killing All external provers ...
% 7.31/4.05 % Time passed: 3352ms (effective reasoning time: 2339ms)
% 7.31/4.05 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.80/4.05 % Axioms used in derivation (82): ax74, ax13, ax33, ax72, ax37, ax14, ax12, ax53, ax20, ax52, ax67, ax24, ax63, ax56, ax4, ax47, ax41, ax31, ax28, ax9, ax17, ax0, ax6, ax45, ax40, ax35, ax58, ax69, ax78, ax39, ax27, ax66, ax8, ax73, ax51, ax48, ax21, ax62, ax10, ax55, ax32, ax16, ax80, ax59, ax1, ax7, ax77, ax38, ax44, ax26, ax61, ax11, ax50, ax65, ax22, ax15, ax81, ax76, ax43, ax19, ax2, ax70, ax54, ax49, ax46, ax34, ax23, ax25, ax60, ax71, ax57, ax68, ax30, ax42, ax82, ax18, ax3, ax5, ax36, ax64, ax29, ax75
% 7.80/4.05 % No. of inferences in proof: 168
% 7.80/4.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3352 ms resp. 2339 ms w/o parsing
% 8.18/4.21 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.18/4.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------