%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW956+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 : n017.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 5.03s 12.83s
% Output : Refutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 93
% Syntax : Number of formulae : 188 ( 140 unt; 0 typ; 0 def)
% Number of atoms : 254 ( 114 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 461 ( 112 ~; 0 |; 18 &; 283 @)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 14 con; 0-2 aty)
% Number of variables : 90 ( 0 ^; 90 !; 0 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_decl,type,
pred_attacker: $i > $o ).
thf(name_objective_decl,type,
name_objective: $i ).
thf(constr_mod_decl,type,
constr_mod: $i > $i > $i ).
thf(constr_exp_decl,type,
constr_exp: $i > $i > $i ).
thf(name_G_8_decl,type,
name_G_8: $i ).
thf(name_c_decl,type,
name_c: $i ).
thf(name_P_7_decl,type,
name_P_7: $i ).
thf(constr_CONST_0x30_decl,type,
constr_CONST_0x30: $i ).
thf(constr_CONST_2_decl,type,
constr_CONST_2: $i ).
thf(name_Nb_decl,type,
name_Nb: $i ).
thf(constr_CONST_1_decl,type,
constr_CONST_1: $i ).
thf(name_Na_decl,type,
name_Na: $i ).
thf(constr_dec_decl,type,
constr_dec: $i > $i > $i ).
thf(constr_enc_decl,type,
constr_enc: $i > $i > $i ).
thf(constr_CONST_3_decl,type,
constr_CONST_3: $i ).
thf(constr_CONST_4_decl,type,
constr_CONST_4: $i ).
thf(tuple_true_decl,type,
tuple_true: $i ).
thf(tuple_A_out_1_decl,type,
tuple_A_out_1: $i > $i > $i ).
thf(tuple_B_in_1_decl,type,
tuple_B_in_1: $i > $i > $i ).
thf(tuple_B_out_3_decl,type,
tuple_B_out_3: $i > $i ).
thf(tuple_A_out_2_decl,type,
tuple_A_out_2: $i > $i ).
thf(pred_mess_decl,type,
pred_mess: $i > $i > $o ).
thf(tuple_A_out_4_decl,type,
tuple_A_out_4: $i > $i ).
thf(tuple_B_in_2_decl,type,
tuple_B_in_2: $i > $i ).
thf(tuple_A_in_3_decl,type,
tuple_A_in_3: $i > $i ).
thf(name_new0x2Dname_decl,type,
name_new0x2Dname: $i > $i ).
thf(tuple_false_decl,type,
tuple_false: $i ).
thf(22,axiom,
constr_CONST_4 != name_P_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(153,plain,
constr_CONST_4 != name_P_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(14,axiom,
constr_CONST_1 != name_G_8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(129,plain,
constr_CONST_1 != name_G_8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(31,axiom,
constr_CONST_4 != name_G_8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(180,plain,
constr_CONST_4 != name_G_8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(30,axiom,
name_Na != name_Nb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(177,plain,
name_Na != name_Nb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(68,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(277,plain,
constr_CONST_1 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(17,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(138,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(49,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(234,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_enc ) @ constr_dec ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(120,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_enc ) @ constr_dec ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(64,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(269,plain,
constr_CONST_2 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(29,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(174,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(59,axiom,
name_c != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(257,plain,
name_c != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(34,axiom,
constr_CONST_0x30 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(189,plain,
constr_CONST_0x30 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(72,axiom,
name_Na != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(284,plain,
name_Na != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(93,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_B_in_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
thf(325,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_B_in_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(47,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(228,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ tuple_B_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(289,plain,
! [A: $i] :
( ( A @ tuple_B_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(88,axiom,
tuple_false @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(316,plain,
tuple_false @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(43,axiom,
name_Na != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(216,plain,
name_Na != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(91,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_dec ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(321,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_dec ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(20,axiom,
name_P_7 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(147,plain,
name_P_7 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(69,axiom,
name_c @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
thf(280,plain,
name_c @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(77,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_in_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
thf(293,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_in_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(15,axiom,
constr_CONST_3 != name_G_8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(132,plain,
constr_CONST_3 != name_G_8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_4 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
thf(265,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_4 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(84,axiom,
! [A: $i] :
( ( A @ tuple_A_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
thf(307,plain,
! [A: $i] :
( ( A @ tuple_A_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(76,axiom,
constr_CONST_0x30 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(292,plain,
constr_CONST_0x30 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(248,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(10,axiom,
constr_CONST_1 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(117,plain,
constr_CONST_1 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(38,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(201,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(5,axiom,
name_G_8 != name_P_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(102,plain,
name_G_8 != name_P_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_A_out_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
thf(260,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_A_out_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(79,axiom,
! [A: $i] :
( ( A @ tuple_A_in_3 @ pred_attacker )
=> ( name_P_7 @ ( name_Na @ ( A @ constr_exp ) @ constr_mod ) @ ( name_objective @ constr_enc ) @ tuple_A_out_4 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
thf(297,plain,
! [A: $i] :
( ( A @ tuple_A_in_3 @ pred_attacker )
=> ( name_P_7 @ ( name_Na @ ( A @ constr_exp ) @ constr_mod ) @ ( name_objective @ constr_enc ) @ tuple_A_out_4 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(35,axiom,
name_G_8 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(192,plain,
name_G_8 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(67,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ tuple_B_in_1 ) @ pred_attacker )
& ( A @ tuple_B_in_2 @ pred_attacker ) )
=> ( C @ ( name_Nb @ ( B @ constr_exp ) @ constr_mod ) @ tuple_B_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
thf(275,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ tuple_B_in_1 ) @ pred_attacker )
& ( A @ tuple_B_in_2 @ pred_attacker ) )
=> ( C @ ( name_Nb @ ( B @ constr_exp ) @ constr_mod ) @ tuple_B_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(26,axiom,
name_Na != name_P_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(165,plain,
name_Na != name_P_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(89,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
thf(317,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(23,axiom,
constr_CONST_2 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(156,plain,
constr_CONST_2 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(18,axiom,
constr_CONST_1 != name_P_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(141,plain,
constr_CONST_1 != name_P_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(46,axiom,
name_Nb != name_P_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(225,plain,
name_Nb != name_P_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( D @ ( C @ ( A @ constr_exp ) @ constr_exp ) @ constr_mod ) )
= ( B @ ( C @ ( D @ ( A @ constr_exp ) @ constr_exp ) @ constr_mod ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(96,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( D @ ( C @ ( A @ constr_exp ) @ constr_exp ) @ constr_mod ) )
= ( B @ ( C @ ( D @ ( A @ constr_exp ) @ constr_exp ) @ constr_mod ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(50,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(237,plain,
constr_CONST_0x30 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(6,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(105,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(86,axiom,
! [A: $i] :
( ( A @ tuple_A_out_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
thf(311,plain,
! [A: $i] :
( ( A @ tuple_A_out_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(75,axiom,
constr_CONST_3 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(291,plain,
constr_CONST_3 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(70,axiom,
constr_CONST_2 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(281,plain,
constr_CONST_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(39,axiom,
constr_CONST_3 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(204,plain,
constr_CONST_3 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(87,axiom,
name_Nb != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(313,plain,
name_Nb != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(19,axiom,
name_G_8 != name_Nb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(144,plain,
name_G_8 != name_Nb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(24,axiom,
constr_CONST_4 != name_Nb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(159,plain,
constr_CONST_4 != name_Nb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(44,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(219,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(66,axiom,
constr_CONST_1 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(274,plain,
constr_CONST_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_B_in_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
thf(245,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_B_in_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(82,axiom,
! [A: $i] :
( ( A @ tuple_B_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(303,plain,
! [A: $i] :
( ( A @ tuple_B_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(92,axiom,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
thf(323,plain,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(42,axiom,
constr_CONST_2 != name_P_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(213,plain,
constr_CONST_2 != name_P_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(37,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(198,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(7,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(108,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(51,axiom,
constr_CONST_4 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(240,plain,
constr_CONST_4 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(57,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
thf(251,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(16,axiom,
constr_CONST_2 != name_Nb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(135,plain,
constr_CONST_2 != name_Nb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(80,axiom,
name_G_8 @ ( name_P_7 @ tuple_A_out_1 ) @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
thf(299,plain,
name_G_8 @ ( name_P_7 @ tuple_A_out_1 ) @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(63,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_mod ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(267,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_mod ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(52,axiom,
tuple_true @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(241,plain,
tuple_true @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(25,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(162,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(12,axiom,
constr_CONST_0x30 != name_G_8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(123,plain,
constr_CONST_0x30 != name_G_8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(78,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_B_in_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
thf(295,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_B_in_1 ) @ pred_attacker )
=> ( B @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(71,axiom,
! [A: $i] :
( ( A @ tuple_A_in_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
thf(282,plain,
! [A: $i] :
( ( A @ tuple_A_in_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(21,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(150,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
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(95,plain,
~ ( name_objective @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(94,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(327,plain,
constr_CONST_3 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(4,axiom,
name_G_8 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(99,plain,
name_G_8 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(56,axiom,
name_P_7 @ ( name_Na @ ( name_G_8 @ constr_exp ) @ constr_mod ) @ tuple_A_out_2 @ pred_attacker,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
thf(250,plain,
name_P_7 @ ( name_Na @ ( name_G_8 @ constr_exp ) @ constr_mod ) @ tuple_A_out_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(48,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(231,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(90,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_enc ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(319,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_enc ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(33,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(186,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(9,axiom,
constr_CONST_2 != name_G_8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(114,plain,
constr_CONST_2 != name_G_8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(28,axiom,
constr_CONST_3 != name_P_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(171,plain,
constr_CONST_3 != name_P_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(40,axiom,
constr_CONST_3 != name_Nb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(207,plain,
constr_CONST_3 != name_Nb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_A_out_1 ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
thf(272,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ tuple_A_out_1 ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(73,axiom,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
thf(287,plain,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(81,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(300,plain,
constr_CONST_4 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(32,axiom,
constr_CONST_4 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(183,plain,
constr_CONST_4 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(27,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(168,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(61,axiom,
name_G_8 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(262,plain,
name_G_8 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(83,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_in_2 @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(305,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_in_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(41,axiom,
constr_CONST_0x30 != name_P_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(210,plain,
constr_CONST_0x30 != name_P_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_A_out_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
thf(242,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tuple_A_out_1 ) @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(13,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).
thf(126,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(36,axiom,
constr_CONST_1 != name_Nb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(195,plain,
constr_CONST_1 != name_Nb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(8,axiom,
constr_CONST_0x30 != name_Nb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(111,plain,
constr_CONST_0x30 != name_Nb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(58,axiom,
name_P_7 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(254,plain,
name_P_7 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(85,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_exp ) @ pred_attacker ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(309,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_exp ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(45,axiom,
name_Nb != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(222,plain,
name_Nb != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(330,plain,
$false,
inference(e,[status(thm)],[153,129,180,177,277,138,234,120,269,174,257,189,284,325,228,289,316,216,321,147,280,293,132,265,307,292,248,117,201,102,260,297,192,275,165,317,156,141,225,96,237,105,311,291,281,204,313,144,159,219,274,245,303,323,213,198,108,240,251,135,299,267,241,162,123,295,282,150,95,327,99,250,231,319,186,114,171,207,272,287,300,183,168,262,305,210,242,126,195,111,254,309,222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW956+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.07 % 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
% 0.14/10.42 % Computer : n017.cluster.edu
% 0.14/10.42 % Model : x86_64 x86_64
% 0.14/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.42 % Memory : 8046.5625MB
% 0.14/10.42 % OS : Linux 6.8.0-71-generic
% 0.14/10.42 % CPULimit : 300
% 0.14/10.42 % WCLimit : 300
% 0.14/10.42 % DateTime : Sat Sep 26 16:33:29 UTC 2026
% 0.14/10.42 % CPUTime :
% 0.14/10.42 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
% 0.18/11.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.39/11.24 % [INFO] Parsing done (229ms).
% 1.39/11.26 % [INFO] Running in sequential loop mode.
% 2.13/11.66 % [INFO] eprover registered as external prover.
% 2.13/11.67 % [INFO] Scanning for conjecture ...
% 2.36/11.77 % [INFO] Found a conjecture (or negated_conjecture) and 93 axioms. Running axiom selection ...
% 2.52/11.86 % [INFO] Axiom selection finished. Selected 92 axioms (removed 1 axioms).
% 2.73/11.94 % [INFO] Problem is first-order (TPTP FOF).
% 2.73/11.95 % [INFO] Type checking passed.
% 2.73/11.96 % [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 ...
% 4.64/12.82 % External prover 'e' found a proof!
% 4.64/12.83 % [INFO] Killing All external provers ...
% 4.64/12.83 % Time passed: 2263ms (effective reasoning time: 1563ms)
% 4.64/12.83 % 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)>
% 4.64/12.83 % Axioms used in derivation (92): ax74, ax13, ax72, ax37, ax14, ax12, ax53, ax79, ax20, ax52, ax67, ax24, ax63, ax56, ax4, ax47, ax41, ax90, ax31, ax28, ax9, ax17, ax0, ax6, ax45, ax40, ax85, ax35, ax58, ax69, ax78, ax39, ax89, ax27, ax66, ax8, ax91, ax73, ax51, ax48, ax21, ax88, ax62, ax10, ax55, ax32, ax16, ax80, ax59, ax1, ax7, ax77, ax38, ax44, ax84, ax92, ax33, ax26, ax61, ax11, ax50, ax65, ax22, ax15, ax81, ax76, ax43, ax83, ax19, ax2, ax70, ax54, ax49, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax57, ax68, ax30, ax42, ax82, ax18, ax3, ax5, ax36, ax64, ax29, ax75
% 4.64/12.83 % No. of inferences in proof: 188
% 5.03/12.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2263 ms resp. 1563 ms w/o parsing
% 5.22/12.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.22/12.93 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------