TSTP Solution File: SWW949+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWW949+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:25:31 EDT 2023
% Result : Theorem 66.26s 10.79s
% Output : Refutation 66.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 154
% Syntax : Number of formulae : 279 ( 196 unt; 31 typ; 0 def)
% Number of atoms : 312 ( 164 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 541 ( 158 ~; 0 |; 12 &; 319 @)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 31 usr; 16 con; 0-2 aty)
% Number of variables : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_type,type,
pred_attacker: $i > $o ).
thf(name_objective_type,type,
name_objective: $i ).
thf(constr_xor_type,type,
constr_xor: $i > $i > $i ).
thf(constr_ZERO_type,type,
constr_ZERO: $i ).
thf(constr_CONST_3_type,type,
constr_CONST_3: $i ).
thf(name_r1_type,type,
name_r1: $i ).
thf(name_u_type,type,
name_u: $i ).
thf(constr_CONST_2_type,type,
constr_CONST_2: $i ).
thf(constr_CONST_0x30_type,type,
constr_CONST_0x30: $i ).
thf(name_t_type,type,
name_t: $i ).
thf(name_r2_from_1st_type,type,
name_r2_from_1st: $i ).
thf(constr_CONST_1_type,type,
constr_CONST_1: $i ).
thf(constr_CONST_4_type,type,
constr_CONST_4: $i ).
thf(name_c_type,type,
name_c: $i ).
thf(name_r1_from_1st_type,type,
name_r1_from_1st: $i ).
thf(tuple_true_type,type,
tuple_true: $i ).
thf(constr_f_type,type,
constr_f: $i > $i > $i ).
thf(tuple_R_in_2_type,type,
tuple_R_in_2: $i > $i > $i ).
thf(tuple_R_out_1_type,type,
tuple_R_out_1: $i > $i ).
thf(tuple_knowledge_from_1st_round_out_3_type,type,
tuple_knowledge_from_1st_round_out_3: $i > $i ).
thf(name_new0x2Dname_type,type,
name_new0x2Dname: $i > $i ).
thf(constr_cyc_shr_half_len_type,type,
constr_cyc_shr_half_len: $i > $i ).
thf(tuple_knowledge_from_1st_round_out_1_type,type,
tuple_knowledge_from_1st_round_out_1: $i > $i ).
thf(constr_cyc_shr_quart_len_type,type,
constr_cyc_shr_quart_len: $i > $i ).
thf(pred_mess_type,type,
pred_mess: $i > $i > $o ).
thf(tuple_R_out_3_type,type,
tuple_R_out_3: $i > $i ).
thf(constr_cyc_shl_quart_len_type,type,
constr_cyc_shl_quart_len: $i > $i ).
thf(tuple_R_out_4_type,type,
tuple_R_out_4: $i > $i ).
thf(tuple_knowledge_from_1st_round_out_2_type,type,
tuple_knowledge_from_1st_round_out_2: $i > $i > $i ).
thf(tuple_false_type,type,
tuple_false: $i ).
thf(constr_cyc_shl_half_len_type,type,
constr_cyc_shl_half_len: $i > $i ).
thf(40,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(237,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(73,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
thf(336,plain,
pred_attacker @ tuple_true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(118,axiom,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).
thf(427,plain,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(39,axiom,
name_c != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(234,plain,
name_c != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(87,axiom,
name_objective != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(365,plain,
name_objective != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(7,axiom,
constr_CONST_0x30 != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(138,plain,
constr_CONST_0x30 != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(72,axiom,
constr_CONST_2 != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(333,plain,
constr_CONST_2 != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(44,axiom,
name_t != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(249,plain,
name_t != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(53,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(276,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(123,axiom,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ name_r1_from_1st ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
thf(440,plain,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ name_r1_from_1st ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(97,axiom,
name_objective != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(384,plain,
name_objective != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(12,axiom,
constr_CONST_3 != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(153,plain,
constr_CONST_3 != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(19,axiom,
constr_CONST_3 != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(174,plain,
constr_CONST_3 != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(57,axiom,
name_r1_from_1st != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(288,plain,
name_r1_from_1st != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(99,axiom,
pred_attacker @ constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).
thf(389,plain,
pred_attacker @ constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(90,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
thf(372,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(1,conjecture,
pred_attacker @ name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ( pred_attacker @ name_objective ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(125,plain,
~ ( pred_attacker @ name_objective ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(77,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
thf(344,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(24,axiom,
name_r1 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(189,plain,
name_r1 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(37,axiom,
constr_CONST_4 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(228,plain,
constr_CONST_4 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(48,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(261,plain,
constr_CONST_2 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(33,axiom,
constr_ZERO != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(216,plain,
constr_ZERO != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(68,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(321,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(79,axiom,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ ( constr_xor @ name_u @ ( constr_cyc_shr_half_len @ name_r2_from_1st ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).
thf(348,plain,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ ( constr_xor @ name_u @ ( constr_cyc_shr_half_len @ name_r2_from_1st ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(82,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(353,plain,
constr_ZERO != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(10,axiom,
constr_CONST_3 != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(147,plain,
constr_CONST_3 != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(103,axiom,
name_objective != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(397,plain,
name_objective != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(5,axiom,
constr_ZERO != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(132,plain,
constr_ZERO != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(42,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(243,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(65,axiom,
name_c != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(312,plain,
name_c != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(94,axiom,
pred_attacker @ ( tuple_R_out_1 @ name_r1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).
thf(380,plain,
pred_attacker @ ( tuple_R_out_1 @ name_r1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(51,axiom,
constr_CONST_0x30 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(270,plain,
constr_CONST_0x30 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(28,axiom,
constr_CONST_1 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(201,plain,
constr_CONST_1 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(95,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).
thf(381,plain,
pred_attacker @ constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(80,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_cyc_shr_half_len @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
thf(349,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_cyc_shr_half_len @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(60,axiom,
constr_CONST_1 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(297,plain,
constr_CONST_1 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(16,axiom,
constr_CONST_4 != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(165,plain,
constr_CONST_4 != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(25,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(192,plain,
constr_CONST_1 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(108,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_f @ ( constr_xor @ name_r1 @ ( constr_xor @ A @ name_t ) ) @ name_t ) ) )
=> ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
thf(407,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_f @ ( constr_xor @ name_r1 @ ( constr_xor @ A @ name_t ) ) @ name_t ) ) )
=> ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(45,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(252,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(85,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_cyc_shr_quart_len @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
thf(361,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_cyc_shr_quart_len @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(121,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(435,plain,
constr_CONST_4 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(69,axiom,
name_r1_from_1st != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
thf(324,plain,
name_r1_from_1st != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(56,axiom,
constr_CONST_2 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(285,plain,
constr_CONST_2 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(13,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(156,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(106,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
thf(403,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(83,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
thf(356,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(8,axiom,
constr_CONST_0x30 != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(141,plain,
constr_CONST_0x30 != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(36,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(225,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(75,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
thf(339,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(101,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).
thf(393,plain,
pred_attacker @ name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(4,axiom,
constr_CONST_3 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(129,plain,
constr_CONST_3 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(110,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
thf(412,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(116,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).
thf(425,plain,
pred_attacker @ constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(119,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(430,plain,
constr_CONST_0x30 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(49,axiom,
constr_CONST_2 != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(264,plain,
constr_CONST_2 != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(54,axiom,
name_r1_from_1st != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(279,plain,
name_r1_from_1st != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(21,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(180,plain,
constr_CONST_0x30 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(92,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_cyc_shl_quart_len @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
thf(375,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_cyc_shl_quart_len @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(115,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
thf(423,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(58,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(291,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(29,axiom,
name_c != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(204,plain,
name_c != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(96,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).
thf(382,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(9,axiom,
constr_CONST_1 != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(144,plain,
constr_CONST_1 != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
name_r1 != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(159,plain,
name_r1 != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(34,axiom,
constr_CONST_3 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(219,plain,
constr_CONST_3 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(113,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(419,plain,
constr_CONST_2 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(93,axiom,
name_objective != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(377,plain,
name_objective != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(67,axiom,
constr_CONST_0x30 != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(318,plain,
constr_CONST_0x30 != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(62,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(303,plain,
constr_CONST_4 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(98,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
thf(387,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(32,axiom,
name_c != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(213,plain,
name_c != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(41,axiom,
name_r1 != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
thf(240,plain,
name_r1 != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(27,axiom,
constr_CONST_4 != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(198,plain,
constr_CONST_4 != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(71,axiom,
constr_CONST_4 != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(330,plain,
constr_CONST_4 != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(6,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(135,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(50,axiom,
constr_CONST_2 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(267,plain,
constr_CONST_2 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(122,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_4 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).
thf(438,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(102,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(394,plain,
constr_CONST_1 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(63,axiom,
constr_CONST_2 != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(306,plain,
constr_CONST_2 != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(117,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
thf(426,plain,
pred_attacker @ constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(15,axiom,
constr_ZERO != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(162,plain,
constr_ZERO != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(91,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
thf(374,plain,
pred_attacker @ constr_CONST_0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(46,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(255,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(76,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
thf(342,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(55,axiom,
! [A: $i] :
( ( constr_xor @ A @ A )
= constr_ZERO ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(282,plain,
! [A: $i] :
( ( constr_xor @ A @ A )
= constr_ZERO ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(11,axiom,
constr_CONST_0x30 != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(150,plain,
constr_CONST_0x30 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(70,axiom,
constr_CONST_1 != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(327,plain,
constr_CONST_1 != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(20,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(177,plain,
constr_CONST_3 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(124,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
thf(441,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(89,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).
thf(370,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(38,axiom,
name_r2_from_1st != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
thf(231,plain,
name_r2_from_1st != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(86,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
thf(363,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(88,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
thf(368,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(47,axiom,
name_c != name_r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(258,plain,
name_c != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(81,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_xor @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
thf(351,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_xor @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(100,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(390,plain,
name_c != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(23,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(186,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(105,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
thf(401,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( constr_xor @ A @ ( constr_xor @ B @ C ) )
= ( constr_xor @ ( constr_xor @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
thf(171,plain,
! [A: $i,B: $i,C: $i] :
( ( constr_xor @ A @ ( constr_xor @ B @ C ) )
= ( constr_xor @ ( constr_xor @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(112,axiom,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ ( constr_xor @ name_t @ name_r2_from_1st ) @ ( constr_f @ ( constr_xor @ name_r1_from_1st @ name_r2_from_1st ) @ name_t ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).
thf(418,plain,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ ( constr_xor @ name_t @ name_r2_from_1st ) @ ( constr_f @ ( constr_xor @ name_r1_from_1st @ name_r2_from_1st ) @ name_t ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(43,axiom,
constr_ZERO != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(246,plain,
constr_ZERO != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(120,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_cyc_shl_half_len @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).
thf(433,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_cyc_shl_half_len @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(30,axiom,
constr_CONST_1 != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(207,plain,
constr_CONST_1 != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(78,axiom,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
thf(346,plain,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(61,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(300,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(66,axiom,
name_r2_from_1st != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
thf(315,plain,
name_r2_from_1st != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(109,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
thf(410,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(17,axiom,
constr_ZERO != name_r2_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(168,plain,
constr_ZERO != name_r2_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(107,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_f @ ( constr_xor @ name_r1 @ ( constr_xor @ A @ name_t ) ) @ name_t ) ) )
=> ( pred_attacker @ ( tuple_R_out_3 @ ( constr_xor @ name_u @ ( constr_cyc_shr_half_len @ ( constr_xor @ A @ name_t ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).
thf(405,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_f @ ( constr_xor @ name_r1 @ ( constr_xor @ A @ name_t ) ) @ name_t ) ) )
=> ( pred_attacker @ ( tuple_R_out_3 @ ( constr_xor @ name_u @ ( constr_cyc_shr_half_len @ ( constr_xor @ A @ name_t ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(22,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(183,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(114,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).
thf(422,plain,
pred_attacker @ constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(52,axiom,
name_r1 != name_u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(273,plain,
name_r1 != name_u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(31,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(210,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(84,axiom,
name_objective != name_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(358,plain,
name_objective != name_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( constr_xor @ A @ B )
= ( constr_xor @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(195,plain,
! [A: $i,B: $i] :
( ( constr_xor @ A @ B )
= ( constr_xor @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(104,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
thf(400,plain,
pred_attacker @ tuple_false,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(111,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(415,plain,
constr_CONST_3 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(59,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(294,plain,
constr_ZERO != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(3,axiom,
! [A: $i] :
( ( constr_xor @ A @ constr_ZERO )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(126,plain,
! [A: $i] :
( ( constr_xor @ A @ constr_ZERO )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(74,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_f @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
thf(337,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_f @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(64,axiom,
constr_CONST_4 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(309,plain,
constr_CONST_4 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(35,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(222,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(20047,plain,
$false,
inference(e,[status(thm)],[237,336,427,234,365,138,333,249,276,440,384,153,174,288,389,372,125,344,189,228,261,216,321,348,353,147,397,132,243,312,380,270,201,381,349,297,165,192,407,252,361,435,324,285,156,403,356,141,225,339,393,129,412,425,430,264,279,180,375,423,291,204,382,144,159,219,419,377,318,303,387,213,240,198,330,135,267,438,394,306,426,162,374,255,342,282,150,327,177,441,370,231,363,368,258,351,390,186,401,171,418,246,433,207,346,300,315,410,168,405,183,422,273,210,358,195,400,415,294,126,337,309,222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW949+1 : TPTP v8.1.2. Released v7.4.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 22:21:25 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.96/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.40/1.06 % [INFO] Parsing done (152ms).
% 1.40/1.07 % [INFO] Running in sequential loop mode.
% 1.92/1.27 % [INFO] eprover registered as external prover.
% 1.92/1.27 % [INFO] cvc4 registered as external prover.
% 1.92/1.27 % [INFO] Scanning for conjecture ...
% 2.11/1.33 % [INFO] Found a conjecture and 123 axioms. Running axiom selection ...
% 2.25/1.39 % [INFO] Axiom selection finished. Selected 122 axioms (removed 1 axioms).
% 2.25/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 2.52/1.45 % [INFO] Type checking passed.
% 2.52/1.45 % [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 ...
% 66.26/10.79 % External prover 'e' found a proof!
% 66.26/10.79 % [INFO] Killing All external provers ...
% 66.26/10.79 % Time passed: 10249ms (effective reasoning time: 9716ms)
% 66.26/10.79 % 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)>
% 66.26/10.79 % Axioms used in derivation (122): ax13, ax113, ax37, ax20, ax52, ax67, ax120, ax110, ax74, ax24, ax63, ax109, ax56, ax103, ax4, ax47, ax114, ax41, ax96, ax90, ax31, ax28, ax9, ax17, ax0, ax6, ax45, ax40, ax121, ax35, ax58, ax69, ax122, ax85, ax78, ax39, ax89, ax27, ax66, ax8, ax91, ax73, ax51, ax48, ax21, ax88, ax117, ax62, ax10, ax106, ax55, ax32, ax95, ax16, ax102, ax80, ax59, ax99, ax1, ax7, ax77, ax38, ax44, ax84, ax92, ax94, ax33, ax26, ax61, ax11, ax50, ax118, ax87, ax72, ax65, ax22, ax105, ax15, ax81, ax76, ax43, ax83, ax19, ax2, ax101, ax70, ax98, ax54, ax49, ax112, ax104, ax14, ax108, ax12, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax97, ax57, ax68, ax30, ax42, ax82, ax18, ax3, ax5, ax36, ax64, ax29, ax116, ax107, ax75, ax100, ax93, ax53, ax119, ax111, ax79
% 66.26/10.79 % No. of inferences in proof: 248
% 66.26/10.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 10249 ms resp. 9716 ms w/o parsing
% 66.26/10.83 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 66.26/10.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------