TSTP Solution File: SWW952+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWW952+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 12:25:32 EDT 2023
% Result : Theorem 14.81s 3.61s
% Output : Refutation 14.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 168
% Syntax : Number of formulae : 307 ( 224 unt; 31 typ; 0 def)
% Number of atoms : 342 ( 190 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 679 ( 184 ~; 0 |; 14 &; 429 @)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 31 usr; 17 con; 0-2 aty)
% Number of variables : 94 ( 0 ^; 94 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_type,type,
pred_attacker: $i > $o ).
thf(name_objective_type,type,
name_objective: $i ).
thf(name_c_type,type,
name_c: $i ).
thf(name_k_type,type,
name_k: $i ).
thf(constr_CONST_1_type,type,
constr_CONST_1: $i ).
thf(name_r1_s1_type,type,
name_r1_s1: $i ).
thf(name_r2_s1_type,type,
name_r2_s1: $i ).
thf(name_ID_type,type,
name_ID: $i ).
thf(constr_xor_type,type,
constr_xor: $i > $i > $i ).
thf(constr_ZERO_type,type,
constr_ZERO: $i ).
thf(name_r1_type,type,
name_r1: $i ).
thf(constr_CONST_0x30_type,type,
constr_CONST_0x30: $i ).
thf(constr_CONST_3_type,type,
constr_CONST_3: $i ).
thf(constr_QUERY_type,type,
constr_QUERY: $i ).
thf(constr_CONST_2_type,type,
constr_CONST_2: $i ).
thf(constr_CONST_4_type,type,
constr_CONST_4: $i ).
thf(tuple_sess_1_out_3_type,type,
tuple_sess_1_out_3: $i > $i ).
thf(constr_split_R_type,type,
constr_split_R: $i > $i ).
thf(constr_rotate_type,type,
constr_rotate: $i > $i > $i ).
thf(constr_h_type,type,
constr_h: $i > $i ).
thf(tuple_sess_1_out_2_type,type,
tuple_sess_1_out_2: $i > $i > $i ).
thf(constr_split_L_type,type,
constr_split_L: $i > $i ).
thf(tuple_false_type,type,
tuple_false: $i ).
thf(name_new0x2Dname_type,type,
name_new0x2Dname: $i > $i ).
thf(tuple_R_out_4_type,type,
tuple_R_out_4: $i > $i ).
thf(tuple_sess_1_out_1_type,type,
tuple_sess_1_out_1: $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 > $i ).
thf(tuple_R_out_3_type,type,
tuple_R_out_3: $i > $i ).
thf(pred_mess_type,type,
pred_mess: $i > $i > $o ).
thf(tuple_true_type,type,
tuple_true: $i ).
thf(44,axiom,
name_c != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
thf(263,plain,
name_c != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(78,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(365,plain,
constr_CONST_2 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(129,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax100) ).
thf(479,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(72,axiom,
! [A: $i,B: $i,C: $i] :
( ( constr_xor @ A @ ( constr_xor @ B @ C ) )
= ( constr_xor @ ( constr_xor @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
thf(347,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)],[72]) ).
thf(130,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
thf(481,plain,
pred_attacker @ constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(59,axiom,
constr_CONST_3 != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(308,plain,
constr_CONST_3 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(111,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_xor @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
thf(440,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)],[111]) ).
thf(46,axiom,
constr_CONST_0x30 != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(269,plain,
constr_CONST_0x30 != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(96,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
thf(408,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(13,axiom,
constr_CONST_3 != constr_QUERY,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(170,plain,
constr_CONST_3 != constr_QUERY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(18,axiom,
constr_CONST_1 != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(185,plain,
constr_CONST_1 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(63,axiom,
! [A: $i] :
( ( constr_xor @ A @ A )
= constr_ZERO ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
thf(320,plain,
! [A: $i] :
( ( constr_xor @ A @ A )
= constr_ZERO ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(42,axiom,
name_ID != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(257,plain,
name_ID != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(87,axiom,
pred_attacker @ ( tuple_sess_1_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax133) ).
thf(389,plain,
pred_attacker @ ( tuple_sess_1_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(71,axiom,
constr_CONST_2 != constr_QUERY,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(344,plain,
constr_CONST_2 != constr_QUERY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(121,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
thf(460,plain,
pred_attacker @ constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(51,axiom,
constr_CONST_0x30 != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(284,plain,
constr_CONST_0x30 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(100,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
thf(416,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)],[100]) ).
thf(7,axiom,
! [A: $i] :
( ( constr_xor @ A @ constr_ZERO )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
thf(152,plain,
! [A: $i] :
( ( constr_xor @ A @ constr_ZERO )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(115,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(448,plain,
constr_ZERO != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(16,axiom,
constr_CONST_3 != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(179,plain,
constr_CONST_3 != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(74,axiom,
constr_CONST_2 != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(353,plain,
constr_CONST_2 != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(136,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_h @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax107) ).
thf(492,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_h @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(11,axiom,
constr_CONST_1 != name_ID,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(164,plain,
constr_CONST_1 != name_ID,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(91,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax108) ).
thf(397,plain,
pred_attacker @ tuple_false,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(30,axiom,
name_c != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
thf(221,plain,
name_c != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(54,axiom,
name_k != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
thf(293,plain,
name_k != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(118,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).
thf(453,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(98,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_sess_1_out_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
thf(411,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_sess_1_out_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(25,axiom,
constr_QUERY != name_ID,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(206,plain,
constr_QUERY != name_ID,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(39,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(248,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(83,axiom,
constr_CONST_2 != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(380,plain,
constr_CONST_2 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(34,axiom,
constr_CONST_4 != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(233,plain,
constr_CONST_4 != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(117,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax96) ).
thf(452,plain,
pred_attacker @ tuple_true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(57,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(302,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(43,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(260,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(104,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax135) ).
thf(424,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_3 @ ( constr_split_R @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(106,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
thf(429,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(48,axiom,
constr_CONST_2 != name_ID,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(275,plain,
constr_CONST_2 != name_ID,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(125,axiom,
name_k != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
thf(467,plain,
name_k != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(22,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(197,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(109,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_4 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax110) ).
thf(435,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(66,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(329,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(122,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_rotate @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
thf(461,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_rotate @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(31,axiom,
name_k != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
thf(224,plain,
name_k != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(62,axiom,
constr_QUERY != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(317,plain,
constr_QUERY != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(19,axiom,
constr_CONST_4 != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(188,plain,
constr_CONST_4 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(86,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
thf(388,plain,
pred_attacker @ constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(75,axiom,
name_k != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
thf(356,plain,
name_k != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(102,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
thf(420,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(128,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
thf(476,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ A ) @ name_k ) ) ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(134,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax127) ).
thf(489,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(27,axiom,
constr_CONST_0x30 != constr_QUERY,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(212,plain,
constr_CONST_0x30 != constr_QUERY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(89,axiom,
pred_attacker @ ( tuple_sess_1_out_2 @ name_r2_s1 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax132) ).
thf(393,plain,
pred_attacker @ ( tuple_sess_1_out_2 @ name_r2_s1 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) @ name_k ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(120,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
thf(457,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(14,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(173,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(80,axiom,
name_ID != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
thf(371,plain,
name_ID != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(45,axiom,
constr_QUERY != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(266,plain,
constr_QUERY != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(60,axiom,
constr_ZERO != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(311,plain,
constr_ZERO != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(92,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_sess_1_out_2 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
thf(398,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_sess_1_out_2 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(10,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(161,plain,
constr_CONST_0x30 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(55,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(296,plain,
constr_CONST_3 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(6,axiom,
name_ID != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
thf(149,plain,
name_ID != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,axiom,
constr_ZERO != name_ID,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(176,plain,
constr_ZERO != name_ID,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(50,axiom,
constr_ZERO != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(281,plain,
constr_ZERO != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(99,axiom,
name_c != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
thf(413,plain,
name_c != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(20,axiom,
constr_CONST_3 != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(191,plain,
constr_CONST_3 != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(94,axiom,
name_objective != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
thf(402,plain,
name_objective != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(113,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax128) ).
thf(445,plain,
pred_attacker @ name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(124,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax125) ).
thf(466,plain,
pred_attacker @ constr_CONST_0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(68,axiom,
constr_CONST_0x30 != name_ID,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(335,plain,
constr_CONST_0x30 != name_ID,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(35,axiom,
name_c != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
thf(236,plain,
name_c != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(73,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(350,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(82,axiom,
constr_CONST_0x30 != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(377,plain,
constr_CONST_0x30 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(33,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(230,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(38,axiom,
constr_CONST_1 != constr_QUERY,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(245,plain,
constr_CONST_1 != constr_QUERY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(77,axiom,
name_ID != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
thf(362,plain,
name_ID != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(116,axiom,
pred_attacker @ constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
thf(451,plain,
pred_attacker @ constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(137,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_split_R @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).
thf(494,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_split_R @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(64,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(323,plain,
constr_CONST_4 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(3,axiom,
name_c != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
thf(140,plain,
name_c != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(132,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(483,plain,
constr_CONST_3 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(40,axiom,
name_r1 != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
thf(251,plain,
name_r1 != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(8,axiom,
constr_CONST_1 != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(155,plain,
constr_CONST_1 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(49,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(278,plain,
constr_ZERO != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(119,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
thf(455,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(90,axiom,
constr_QUERY != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(394,plain,
constr_QUERY != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(56,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(299,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(107,axiom,
pred_attacker @ constr_QUERY,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
thf(431,plain,
pred_attacker @ constr_QUERY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(12,axiom,
name_ID != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(167,plain,
name_ID != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(127,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(473,plain,
constr_CONST_2 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(105,axiom,
name_objective != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
thf(426,plain,
name_objective != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(81,axiom,
constr_CONST_2 != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(374,plain,
constr_CONST_2 != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(26,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(209,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(21,axiom,
constr_CONST_4 != constr_QUERY,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(194,plain,
constr_CONST_4 != constr_QUERY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(17,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(182,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(123,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).
thf(463,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(69,axiom,
constr_CONST_4 != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(338,plain,
constr_CONST_4 != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(126,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(470,plain,
constr_CONST_4 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(76,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(359,plain,
constr_CONST_1 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(85,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_sess_1_out_3 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
thf(386,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_sess_1_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(61,axiom,
name_r1 != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
thf(314,plain,
name_r1 != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(114,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_split_L @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax98) ).
thf(446,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_split_L @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(4,axiom,
constr_CONST_1 != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(143,plain,
constr_CONST_1 != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(29,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(218,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(79,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(368,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(131,axiom,
pred_attacker @ ( tuple_sess_1_out_1 @ name_r1_s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).
thf(482,plain,
pred_attacker @ ( tuple_sess_1_out_1 @ name_r1_s1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(24,axiom,
constr_ZERO != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(203,plain,
constr_ZERO != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(9,axiom,
constr_ZERO != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(158,plain,
constr_ZERO != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(88,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(390,plain,
constr_CONST_0x30 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(1,conjecture,
pred_attacker @ name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ( pred_attacker @ name_objective ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(139,plain,
~ ( pred_attacker @ name_objective ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(101,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
thf(418,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_sess_1_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(53,axiom,
constr_CONST_0x30 != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(290,plain,
constr_CONST_0x30 != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(47,axiom,
constr_CONST_2 != name_r1_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(272,plain,
constr_CONST_2 != name_r1_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(84,axiom,
constr_QUERY != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(383,plain,
constr_QUERY != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(52,axiom,
constr_QUERY != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(287,plain,
constr_QUERY != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(108,axiom,
name_objective != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
thf(432,plain,
name_objective != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(97,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
thf(410,plain,
pred_attacker @ constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(5,axiom,
constr_CONST_1 != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(146,plain,
constr_CONST_1 != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(95,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(405,plain,
constr_CONST_1 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(103,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_R_out_1 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).
thf(422,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_R_out_1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(58,axiom,
constr_QUERY != name_r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(305,plain,
constr_QUERY != name_r1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(65,axiom,
constr_CONST_4 != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(326,plain,
constr_CONST_4 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(70,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(341,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(110,axiom,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
thf(437,plain,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(93,axiom,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax130) ).
thf(400,plain,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(36,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).
thf(239,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(37,axiom,
constr_CONST_4 != name_ID,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(242,plain,
constr_CONST_4 != name_ID,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(67,axiom,
name_r1_s1 != name_r2_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
thf(332,plain,
name_r1_s1 != name_r2_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(23,axiom,
constr_QUERY != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(200,plain,
constr_QUERY != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(112,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
thf(442,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(133,axiom,
name_ID != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
thf(486,plain,
name_ID != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(28,axiom,
constr_CONST_3 != name_ID,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(215,plain,
constr_CONST_3 != name_ID,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(135,axiom,
pred_attacker @ ( tuple_R_out_1 @ constr_QUERY @ name_r1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
thf(491,plain,
pred_attacker @ ( tuple_R_out_1 @ constr_QUERY @ name_r1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(138,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_3 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax112) ).
thf(496,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(41,axiom,
constr_CONST_3 != name_k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(254,plain,
constr_CONST_3 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( constr_xor @ A @ B )
= ( constr_xor @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
thf(227,plain,
! [A: $i,B: $i] :
( ( constr_xor @ A @ B )
= ( constr_xor @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(1224,plain,
$false,
inference(e,[status(thm)],[263,365,479,347,481,308,440,269,408,170,185,320,257,389,344,460,284,416,152,448,179,353,492,164,397,221,293,453,411,206,248,380,233,452,302,260,424,429,275,467,197,435,329,461,224,317,188,388,356,420,476,489,212,393,457,173,371,266,311,398,161,296,149,176,281,413,191,402,445,466,335,236,350,377,230,245,362,451,494,323,140,483,251,155,278,455,394,299,431,167,473,426,374,209,194,182,463,338,470,359,386,314,446,143,218,368,482,203,158,390,139,418,290,272,383,287,432,410,146,405,422,305,326,341,437,400,239,242,332,200,442,486,215,491,496,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW952+1 : TPTP v8.1.2. Released v7.4.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 22:30:22 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.97/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.41/1.04 % [INFO] Parsing done (159ms).
% 1.41/1.05 % [INFO] Running in sequential loop mode.
% 1.82/1.28 % [INFO] eprover registered as external prover.
% 1.82/1.28 % [INFO] cvc4 registered as external prover.
% 1.82/1.29 % [INFO] Scanning for conjecture ...
% 1.99/1.36 % [INFO] Found a conjecture and 137 axioms. Running axiom selection ...
% 2.13/1.42 % [INFO] Axiom selection finished. Selected 136 axioms (removed 1 axioms).
% 2.40/1.48 % [INFO] Problem is first-order (TPTP FOF).
% 2.55/1.49 % [INFO] Type checking passed.
% 2.55/1.49 % [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 ...
% 14.81/3.60 % External prover 'e' found a proof!
% 14.81/3.60 % [INFO] Killing All external provers ...
% 14.81/3.60 % Time passed: 3074ms (effective reasoning time: 2552ms)
% 14.81/3.60 % 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)>
% 14.81/3.61 % Axioms used in derivation (136): ax13, ax113, ax20, ax52, ax67, ax120, ax110, ax74, ax24, ax63, ax109, ax132, ax56, ax103, ax4, ax47, ax114, ax41, ax96, ax90, ax126, ax31, ax28, ax9, ax17, ax0, ax6, ax133, ax45, ax40, ax121, ax131, ax35, ax58, ax69, ax122, ax85, ax78, ax125, ax39, ax89, ax124, ax27, ax66, ax8, ax91, ax73, ax51, ax48, ax21, ax136, 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, ax128, ax65, ax22, ax105, ax15, ax81, ax76, ax43, ax83, ax19, ax2, ax101, ax70, ax98, ax135, ax37, ax54, ax49, ax112, ax127, ax104, ax14, ax115, ax108, ax12, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax97, ax57, ax68, ax30, ax42, ax82, ax18, ax3, ax5, ax130, ax36, ax64, ax29, ax116, ax107, ax75, ax100, ax134, ax93, ax53, ax119, ax111, ax79, ax123
% 14.81/3.61 % No. of inferences in proof: 276
% 14.81/3.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3074 ms resp. 2552 ms w/o parsing
% 14.81/3.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.81/3.65 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------