%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW955+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n018.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 4.36s 7.65s
% Output : Refutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 81
% Syntax : Number of formulae : 164 ( 118 unt; 0 typ; 0 def)
% Number of atoms : 222 ( 94 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 373 ( 92 ~; 0 |; 12 &; 223 @)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 13 con; 0-2 aty)
% Number of variables : 68 ( 0 ^; 68 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_decl,type,
pred_attacker: $i > $o ).
thf(name_objective_decl,type,
name_objective: $i ).
thf(constr_CONST_1_decl,type,
constr_CONST_1: $i ).
thf(constr_CONST_3_decl,type,
constr_CONST_3: $i ).
thf(name_Ka_decl,type,
name_Ka: $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(constr_CONST_2_decl,type,
constr_CONST_2: $i ).
thf(name_Kb_decl,type,
name_Kb: $i ).
thf(name_m_9_decl,type,
name_m_9: $i ).
thf(constr_comm_dec_decl,type,
constr_comm_dec: $i > $i > $i ).
thf(constr_comm_enc_decl,type,
constr_comm_enc: $i > $i > $i ).
thf(constr_dec_decl,type,
constr_dec: $i > $i > $i ).
thf(constr_enc_decl,type,
constr_enc: $i > $i > $i ).
thf(tuple_A_in_2_decl,type,
tuple_A_in_2: $i > $i ).
thf(tuple_A_out_4_decl,type,
tuple_A_out_4: $i > $i ).
thf(tuple_B_in_1_decl,type,
tuple_B_in_1: $i > $i ).
thf(tuple_false_decl,type,
tuple_false: $i ).
thf(tuple_A_out_1_decl,type,
tuple_A_out_1: $i > $i ).
thf(name_new0x2Dname_decl,type,
name_new0x2Dname: $i > $i ).
thf(tuple_B_in_3_decl,type,
tuple_B_in_3: $i > $i ).
thf(tuple_true_decl,type,
tuple_true: $i ).
thf(pred_mess_decl,type,
pred_mess: $i > $i > $o ).
thf(tuple_B_out_2_decl,type,
tuple_B_out_2: $i > $i ).
thf(tuple_A_out_3_decl,type,
tuple_A_out_3: $i > $i ).
thf(21,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(138,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(26,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(153,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(33,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(174,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(18,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(129,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(35,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(180,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(25,axiom,
constr_CONST_3 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(150,plain,
constr_CONST_3 != name_Ka,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(34,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(177,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(79,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(277,plain,
name_c != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ tuple_B_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(269,plain,
! [A: $i] :
( ( A @ tuple_B_in_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(15,axiom,
name_Ka != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(120,plain,
name_Ka != name_Kb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(65,axiom,
name_Ka != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(247,plain,
name_Ka != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(38,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(189,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(6,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(93,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(51,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(216,plain,
constr_CONST_0x30 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ tuple_B_in_1 @ pred_attacker )
=> ( name_Kb @ ( A @ constr_comm_enc ) @ tuple_B_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(238,plain,
! [A: $i] :
( ( A @ tuple_B_in_1 @ pred_attacker )
=> ( name_Kb @ ( A @ constr_comm_enc ) @ tuple_B_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(3,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(84,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(24,axiom,
constr_CONST_0x30 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(147,plain,
constr_CONST_0x30 != name_Ka,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(80,axiom,
name_c @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
thf(280,plain,
name_c @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(19,axiom,
constr_CONST_0x30 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(132,plain,
constr_CONST_0x30 != name_Kb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(73,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_out_2 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(265,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_out_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ tuple_A_out_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
thf(206,plain,
! [A: $i] :
( ( A @ tuple_A_out_1 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(59,axiom,
! [A: $i] :
( ( A @ tuple_A_out_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(233,plain,
! [A: $i] :
( ( A @ tuple_A_out_4 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(14,axiom,
constr_CONST_4 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(117,plain,
constr_CONST_4 != name_m_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(42,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_in_1 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(201,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_in_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_dec ) @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(220,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)],[53]) ).
thf(9,axiom,
constr_CONST_4 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(102,plain,
constr_CONST_4 != name_Ka,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(71,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_comm_dec ) @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(260,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_comm_dec ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(39,axiom,
name_Kb != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(192,plain,
name_Kb != name_m_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(30,axiom,
constr_CONST_2 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(165,plain,
constr_CONST_2 != name_Kb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(67,axiom,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(252,plain,
! [A: $i,B: $i] :
( ( ( A @ pred_attacker )
& ( B @ pred_attacker ) )
=> ( A @ ( B @ pred_mess ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(55,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ ( B @ pred_mess ) ) )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(224,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(27,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(156,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(22,axiom,
name_Ka != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(141,plain,
name_Ka != name_m_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(69,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(256,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(7,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(96,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,axiom,
constr_CONST_0x30 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(105,plain,
constr_CONST_0x30 != name_m_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(45,axiom,
name_Ka @ ( name_m_9 @ constr_comm_enc ) @ tuple_A_out_1 @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(205,plain,
name_Ka @ ( name_m_9 @ constr_comm_enc ) @ tuple_A_out_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(81,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_in_2 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(281,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_in_2 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(44,axiom,
tuple_false @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(204,plain,
tuple_false @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_enc ) @ constr_dec ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(144,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_enc ) @ constr_dec ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,axiom,
constr_CONST_3 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(159,plain,
constr_CONST_3 != name_m_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(52,axiom,
tuple_true @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(219,plain,
tuple_true @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(78,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(274,plain,
constr_CONST_3 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(57,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_comm_enc ) @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(230,plain,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_comm_enc ) @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(64,axiom,
! [A: $i] :
( ( A @ tuple_A_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(245,plain,
! [A: $i] :
( ( A @ tuple_A_in_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(76,axiom,
constr_CONST_2 @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(271,plain,
constr_CONST_2 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(47,axiom,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
thf(208,plain,
! [A: $i] : ( A @ name_new0x2Dname @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(49,axiom,
constr_CONST_1 @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(213,plain,
constr_CONST_1 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ tuple_A_in_2 @ pred_attacker )
=> ( name_Ka @ ( A @ constr_comm_dec ) @ tuple_A_out_3 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(240,plain,
! [A: $i] :
( ( A @ tuple_A_in_2 @ pred_attacker )
=> ( name_Ka @ ( A @ constr_comm_dec ) @ tuple_A_out_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(41,axiom,
! [A: $i] :
( ( A @ tuple_A_in_2 @ pred_attacker )
=> ( name_m_9 @ ( name_objective @ constr_enc ) @ tuple_A_out_4 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(198,plain,
! [A: $i] :
( ( A @ tuple_A_in_2 @ pred_attacker )
=> ( name_m_9 @ ( name_objective @ constr_enc ) @ tuple_A_out_4 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_comm_enc ) @ constr_comm_dec ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(108,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ constr_comm_enc ) @ constr_comm_dec ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(20,axiom,
name_c != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(135,plain,
name_c != name_m_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_in_3 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(267,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_B_in_3 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(29,axiom,
constr_CONST_2 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(162,plain,
constr_CONST_2 != name_m_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(16,axiom,
constr_CONST_2 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(123,plain,
constr_CONST_2 != name_Ka,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(66,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_4 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(250,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_4 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(8,axiom,
name_Kb != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(99,plain,
name_Kb != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
constr_CONST_1 != name_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(87,plain,
constr_CONST_1 != name_Ka,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(43,axiom,
constr_CONST_0x30 @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(203,plain,
constr_CONST_0x30 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(70,axiom,
! [A: $i] :
( ( A @ tuple_A_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(258,plain,
! [A: $i] :
( ( A @ tuple_A_out_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(37,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(186,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(13,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(114,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(32,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(171,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(60,axiom,
name_m_9 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(235,plain,
name_m_9 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(77,axiom,
! [A: $i] :
( ( A @ tuple_B_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(272,plain,
! [A: $i] :
( ( A @ tuple_B_out_2 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(50,axiom,
! [A: $i] :
( ( A @ tuple_B_in_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(214,plain,
! [A: $i] :
( ( A @ tuple_B_in_3 @ pred_attacker )
=> ( A @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(36,axiom,
constr_CONST_3 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(183,plain,
constr_CONST_3 != name_Kb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(31,axiom,
constr_CONST_1 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(168,plain,
constr_CONST_1 != name_Kb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(72,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(262,plain,
constr_CONST_2 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(48,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(210,plain,
constr_CONST_1 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(63,axiom,
name_Kb != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(242,plain,
name_Kb != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(17,axiom,
constr_CONST_4 != name_Kb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(126,plain,
constr_CONST_4 != name_Kb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(40,axiom,
constr_CONST_1 != name_m_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(195,plain,
constr_CONST_1 != name_m_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(82,axiom,
constr_CONST_3 @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(283,plain,
constr_CONST_3 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(1,conjecture,
name_objective @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ( name_objective @ pred_attacker ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(83,plain,
~ ( name_objective @ pred_attacker ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_1 @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(222,plain,
! [A: $i] :
( ( A @ pred_attacker )
=> ( A @ tuple_A_out_1 @ pred_attacker ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(58,axiom,
constr_CONST_4 @ pred_attacker,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(232,plain,
constr_CONST_4 @ pred_attacker,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(5,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(90,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
name_Ka != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(111,plain,
name_Ka != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(68,axiom,
! [A: $i,B: $i] :
( ( ( B @ pred_attacker )
& ( A @ pred_attacker ) )
=> ( B @ ( A @ constr_enc ) @ pred_attacker ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(254,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)],[68]) ).
thf(56,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(227,plain,
constr_CONST_4 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(284,plain,
$false,
inference(e,[status(thm)],[138,153,174,129,180,150,177,277,269,120,247,189,93,216,238,84,147,280,132,265,206,233,117,201,220,102,260,192,165,252,224,156,141,256,96,105,205,281,204,144,159,219,274,230,245,271,208,213,240,198,108,135,267,162,123,250,99,87,203,258,186,114,171,235,272,214,183,168,262,210,242,126,195,283,83,222,232,90,111,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW955+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.16/5.43 % Computer : n018.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Sat Sep 26 16:39:58 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.43 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.19/6.02 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/6.24 % [INFO] Parsing done (213ms).
% 1.31/6.25 % [INFO] Running in sequential loop mode.
% 2.09/6.64 % [INFO] eprover registered as external prover.
% 2.09/6.65 % [INFO] Scanning for conjecture ...
% 2.28/6.74 % [INFO] Found a conjecture (or negated_conjecture) and 81 axioms. Running axiom selection ...
% 2.43/6.82 % [INFO] Axiom selection finished. Selected 80 axioms (removed 1 axioms).
% 2.43/6.89 % [INFO] Problem is first-order (TPTP FOF).
% 2.64/6.90 % [INFO] Type checking passed.
% 2.64/6.90 % [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 ...
% 4.36/7.64 % External prover 'e' found a proof!
% 4.36/7.65 % [INFO] Killing All external provers ...
% 4.36/7.65 % Time passed: 2066ms (effective reasoning time: 1390ms)
% 4.36/7.65 % 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)>
% 4.36/7.65 % Axioms used in derivation (80): ax74, ax13, ax33, ax72, ax37, ax14, ax12, ax53, ax79, 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, ax76, ax43, ax19, ax2, ax70, ax54, ax49, ax46, ax34, ax23, ax25, ax60, ax71, ax57, ax68, ax30, ax42, ax18, ax3, ax5, ax36, ax64, ax29
% 4.36/7.65 % No. of inferences in proof: 164
% 4.36/7.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2066 ms resp. 1390 ms w/o parsing
% 4.70/7.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.70/7.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------