TSTP Solution File: SWW948+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWW948+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 4.71s 2.16s
% Output : Refutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 133
% Syntax : Number of formulae : 242 ( 172 unt; 26 typ; 0 def)
% Number of atoms : 270 ( 140 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 497 ( 134 ~; 0 |; 10 &; 309 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 15 con; 0-2 aty)
% Number of variables : 78 ( 0 ^; 78 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_type,type,
pred_attacker: $i > $o ).
thf(name_objective_R_type,type,
name_objective_R: $i ).
thf(constr_CONST_4_type,type,
constr_CONST_4: $i ).
thf(name_c_type,type,
name_c: $i ).
thf(constr_CONST_2_type,type,
constr_CONST_2: $i ).
thf(constr_CONST_3_type,type,
constr_CONST_3: $i ).
thf(constr_ZERO_type,type,
constr_ZERO: $i ).
thf(name_r0x30_from_1st_type,type,
name_r0x30_from_1st: $i ).
thf(constr_CONST_1_type,type,
constr_CONST_1: $i ).
thf(name_r1_from_1st_type,type,
name_r1_from_1st: $i ).
thf(constr_CONST_0x30_type,type,
constr_CONST_0x30: $i ).
thf(name_r0x30_type,type,
name_r0x30: $i ).
thf(name_k_type,type,
name_k: $i ).
thf(constr_xor_type,type,
constr_xor: $i > $i > $i ).
thf(tuple_R_in_2_type,type,
tuple_R_in_2: $i > $i > $i ).
thf(tuple_R_out_3_type,type,
tuple_R_out_3: $i > $i ).
thf(tuple_R_out_1_type,type,
tuple_R_out_1: $i > $i ).
thf(name_new0x2Dname_type,type,
name_new0x2Dname: $i > $i ).
thf(constr_h_type,type,
constr_h: $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_knowledge_from_1st_round_out_3_type,type,
tuple_knowledge_from_1st_round_out_3: $i > $i ).
thf(tuple_knowledge_from_1st_round_out_1_type,type,
tuple_knowledge_from_1st_round_out_1: $i > $i ).
thf(tuple_true_type,type,
tuple_true: $i ).
thf(tuple_false_type,type,
tuple_false: $i ).
thf(pred_mess_type,type,
pred_mess: $i > $i > $o ).
thf(89,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
thf(340,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(92,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30 @ A ) @ name_k ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_3 @ ( constr_h @ ( constr_xor @ ( constr_xor @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30 @ A ) @ name_k ) ) @ name_k ) @ name_r0x30 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
thf(347,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30 @ A ) @ name_k ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_3 @ ( constr_h @ ( constr_xor @ ( constr_xor @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30 @ A ) @ name_k ) ) @ name_k ) @ name_r0x30 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(85,axiom,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ name_r1_from_1st @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) @ name_k ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
thf(333,plain,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ name_r1_from_1st @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) @ name_k ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(94,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(352,plain,
pred_attacker @ tuple_false,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(23,axiom,
name_k != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(170,plain,
name_k != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(56,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(269,plain,
constr_CONST_3 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(28,axiom,
constr_CONST_0x30 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(185,plain,
constr_CONST_0x30 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(52,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(257,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(3,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(110,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
constr_CONST_3 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(125,plain,
constr_CONST_3 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(61,axiom,
name_c != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(284,plain,
name_c != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(81,axiom,
name_c != name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(325,plain,
name_c != name_objective_R,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(17,axiom,
name_c != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(152,plain,
name_c != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(63,axiom,
constr_CONST_4 != name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(289,plain,
constr_CONST_4 != name_objective_R,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(77,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(316,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(21,axiom,
name_c != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(164,plain,
name_c != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(26,axiom,
constr_CONST_1 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(179,plain,
constr_CONST_1 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(106,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(376,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(95,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
thf(353,plain,
pred_attacker @ constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(40,axiom,
name_r0x30 != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(221,plain,
name_r0x30 != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(5,axiom,
constr_ZERO != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(116,plain,
constr_ZERO != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(73,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).
thf(312,plain,
pred_attacker @ name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(35,axiom,
constr_CONST_4 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(206,plain,
constr_CONST_4 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(64,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
thf(292,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(44,axiom,
constr_CONST_0x30 != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(233,plain,
constr_CONST_0x30 != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(49,axiom,
constr_CONST_2 != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(248,plain,
constr_CONST_2 != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(108,axiom,
constr_CONST_2 != name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(380,plain,
constr_CONST_2 != name_objective_R,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(102,axiom,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).
thf(366,plain,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(86,axiom,
constr_CONST_3 != name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(334,plain,
constr_CONST_3 != name_objective_R,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(67,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30 @ A ) @ name_k ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_4 @ name_objective_R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
thf(297,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30 @ A ) @ name_k ) ) ) )
=> ( pred_attacker @ ( tuple_R_out_4 @ name_objective_R ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(53,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(260,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(93,axiom,
constr_CONST_1 != name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(349,plain,
constr_CONST_1 != name_objective_R,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(58,axiom,
constr_CONST_2 != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(275,plain,
constr_CONST_2 != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(12,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(137,plain,
constr_CONST_0x30 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( constr_xor @ A @ B )
= ( constr_xor @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(197,plain,
! [A: $i,B: $i] :
( ( constr_xor @ A @ B )
= ( constr_xor @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(100,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
thf(361,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(83,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',ax74) ).
thf(329,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)],[83]) ).
thf(41,axiom,
name_r0x30_from_1st != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(224,plain,
name_r0x30_from_1st != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(29,axiom,
constr_CONST_1 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(188,plain,
constr_CONST_1 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(97,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',ax88) ).
thf(356,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)],[97]) ).
thf(37,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(212,plain,
constr_CONST_1 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(1,conjecture,
pred_attacker @ name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ( pred_attacker @ name_objective_R ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(109,plain,
~ ( pred_attacker @ name_objective_R ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(82,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
thf(328,plain,
pred_attacker @ constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(24,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(173,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(104,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',ax76) ).
thf(371,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)],[104]) ).
thf(11,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(134,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
constr_CONST_4 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(128,plain,
constr_CONST_4 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(55,axiom,
constr_CONST_4 != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(266,plain,
constr_CONST_4 != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(99,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
thf(360,plain,
pred_attacker @ constr_CONST_0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(20,axiom,
constr_CONST_1 != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(161,plain,
constr_CONST_1 != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(16,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(149,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(25,axiom,
constr_CONST_3 != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(176,plain,
constr_CONST_3 != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(30,axiom,
! [A: $i] :
( ( constr_xor @ A @ A )
= constr_ZERO ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(191,plain,
! [A: $i] :
( ( constr_xor @ A @ A )
= constr_ZERO ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(60,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(281,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(74,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
thf(313,plain,
pred_attacker @ constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(45,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(236,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(4,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(113,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(43,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(230,plain,
constr_CONST_4 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(48,axiom,
constr_CONST_1 != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(245,plain,
constr_CONST_1 != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(78,axiom,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ name_r0x30_from_1st ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
thf(318,plain,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ name_r0x30_from_1st ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(69,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_h @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(303,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_h @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(91,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_4 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
thf(345,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_R_out_4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(13,axiom,
name_c != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(140,plain,
name_c != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(50,axiom,
name_k != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(251,plain,
name_k != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(18,axiom,
constr_CONST_2 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(155,plain,
constr_CONST_2 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(59,axiom,
name_r0x30 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(278,plain,
name_r0x30 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(71,axiom,
name_k != name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(306,plain,
name_k != name_objective_R,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(22,axiom,
constr_CONST_4 != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(167,plain,
constr_CONST_4 != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(36,axiom,
constr_CONST_3 != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(209,plain,
constr_CONST_3 != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(90,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
thf(342,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(31,axiom,
constr_ZERO != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(194,plain,
constr_ZERO != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(66,axiom,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).
thf(295,plain,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(54,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(263,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(27,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(182,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(84,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(331,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(88,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_xor @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(338,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)],[88]) ).
thf(75,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
thf(314,plain,
pred_attacker @ constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(14,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(143,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(101,axiom,
constr_ZERO != name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(363,plain,
constr_ZERO != name_objective_R,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(34,axiom,
constr_CONST_2 != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(203,plain,
constr_CONST_2 != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(39,axiom,
constr_CONST_3 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(218,plain,
constr_CONST_3 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(79,axiom,
constr_CONST_0x30 != name_objective_R,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(319,plain,
constr_CONST_0x30 != name_objective_R,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(19,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',ax69) ).
thf(158,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)],[19]) ).
thf(57,axiom,
constr_CONST_0x30 != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(272,plain,
constr_CONST_0x30 != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(62,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
thf(287,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_R_in_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(6,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(119,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(107,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).
thf(378,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(68,axiom,
name_objective_R != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(300,plain,
name_objective_R != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(76,axiom,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ ( constr_h @ ( constr_xor @ ( constr_xor @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) @ name_k ) ) @ name_k ) @ name_r0x30_from_1st ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
thf(315,plain,
pred_attacker @ ( tuple_knowledge_from_1st_round_out_3 @ ( constr_h @ ( constr_xor @ ( constr_xor @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) @ name_k ) ) @ name_k ) @ name_r0x30_from_1st ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(15,axiom,
constr_ZERO != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(146,plain,
constr_ZERO != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(105,axiom,
name_objective_R != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(373,plain,
name_objective_R != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(70,axiom,
pred_attacker @ constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
thf(305,plain,
pred_attacker @ constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(65,axiom,
pred_attacker @ ( tuple_R_out_1 @ name_r0x30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
thf(294,plain,
pred_attacker @ ( tuple_R_out_1 @ name_r0x30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(98,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
thf(358,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(46,axiom,
! [A: $i] :
( ( constr_xor @ A @ constr_ZERO )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(239,plain,
! [A: $i] :
( ( constr_xor @ A @ constr_ZERO )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(47,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(242,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(10,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(131,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(33,axiom,
name_k != name_r0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(200,plain,
name_k != name_r0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(103,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
thf(369,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_R_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(80,axiom,
name_objective_R != name_r0x30_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(322,plain,
name_objective_R != name_r0x30_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(96,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(354,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(72,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',ax75) ).
thf(309,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)],[72]) ).
thf(38,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(215,plain,
constr_ZERO != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(51,axiom,
constr_CONST_0x30 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(254,plain,
constr_CONST_0x30 != name_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(42,axiom,
constr_ZERO != name_r1_from_1st,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(227,plain,
constr_ZERO != name_r1_from_1st,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(87,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(337,plain,
pred_attacker @ tuple_true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(7,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(122,plain,
constr_CONST_2 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(387,plain,
$false,
inference(e,[status(thm)],[340,347,333,352,170,269,185,257,110,125,284,325,152,289,316,164,179,376,353,221,116,312,206,292,233,248,380,366,334,297,260,349,275,137,197,361,329,224,188,356,212,109,328,173,371,134,128,266,360,161,149,176,191,281,313,236,113,230,245,318,303,345,140,251,155,278,306,167,209,342,194,295,263,182,331,338,314,143,363,203,218,319,158,272,287,119,378,300,315,146,373,305,294,358,239,242,131,200,369,322,354,309,215,254,227,337,122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW948+1 : TPTP v8.1.2. Released v7.4.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n017.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
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 21:56:16 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.02 % [INFO] Parsing done (141ms).
% 1.20/1.02 % [INFO] Running in sequential loop mode.
% 1.81/1.31 % [INFO] eprover registered as external prover.
% 1.81/1.32 % [INFO] cvc4 registered as external prover.
% 1.81/1.32 % [INFO] Scanning for conjecture ...
% 2.12/1.39 % [INFO] Found a conjecture and 107 axioms. Running axiom selection ...
% 2.32/1.46 % [INFO] Axiom selection finished. Selected 106 axioms (removed 1 axioms).
% 2.39/1.51 % [INFO] Problem is first-order (TPTP FOF).
% 2.39/1.52 % [INFO] Type checking passed.
% 2.39/1.52 % [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 ...
% 4.71/2.16 % External prover 'e' found a proof!
% 4.71/2.16 % [INFO] Killing All external provers ...
% 4.71/2.16 % Time passed: 1629ms (effective reasoning time: 1129ms)
% 4.71/2.16 % 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)>
% 4.71/2.16 % Axioms used in derivation (106): ax74, ax13, ax37, ax12, ax79, ax20, ax52, ax67, ax24, ax63, ax56, ax103, ax4, ax47, ax41, ax96, ax90, ax31, ax28, ax9, ax17, ax0, ax6, ax45, ax40, ax85, ax35, ax58, ax69, ax78, ax39, ax89, ax27, ax66, ax8, ax91, ax73, ax51, ax48, ax21, ax88, ax62, ax10, ax106, ax55, ax32, ax95, ax16, ax102, ax80, ax59, ax1, ax7, ax77, ax38, ax44, ax84, ax92, ax94, ax33, ax26, ax61, ax11, ax50, ax87, ax72, ax65, ax22, ax105, ax15, ax81, ax76, ax43, ax83, ax19, ax2, ax101, ax70, ax98, ax54, ax49, ax104, ax14, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax97, ax57, ax68, ax30, ax42, ax82, ax18, ax3, ax5, ax36, ax64, ax29, ax75, ax100, ax53, ax93
% 4.71/2.16 % No. of inferences in proof: 216
% 4.71/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1629 ms resp. 1129 ms w/o parsing
% 4.71/2.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.71/2.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------