TSTP Solution File: SWW958+1 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SWW958+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n021.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 : Mon Jun 24 18:24:26 EDT 2024
% Result : Theorem 38.29s 8.48s
% Output : Refutation 38.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 276
% Syntax : Number of formulae : 616 ( 492 unt; 0 typ; 0 def)
% Number of atoms : 790 ( 452 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1295 ( 442 ~; 0 |; 44 &; 685 @)
% ( 0 <=>; 124 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 51 usr; 23 con; 0-2 aty)
% Number of variables : 224 ( 0 ^ 224 !; 0 ?; 224 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_type,type,
pred_attacker: $i > $o ).
thf(name_Sa_type,type,
name_Sa: $i ).
thf(constr_CONST_4_type,type,
constr_CONST_4: $i ).
thf(name_Sc_type,type,
name_Sc: $i ).
thf(constr_CONST_0x30_type,type,
constr_CONST_0x30: $i ).
thf(name_c_type,type,
name_c: $i ).
thf(name_C_type,type,
name_C: $i ).
thf(name_Na_type,type,
name_Na: $i ).
thf(constr_CONST_3_type,type,
constr_CONST_3: $i ).
thf(constr_ZERO_type,type,
constr_ZERO: $i ).
thf(name_skD_type,type,
name_skD: $i ).
thf(name_Sd_type,type,
name_Sd: $i ).
thf(name_A_type,type,
name_A: $i ).
thf(name_Sb_type,type,
name_Sb: $i ).
thf(constr_CONST_1_type,type,
constr_CONST_1: $i ).
thf(name_D_type,type,
name_D: $i ).
thf(name_skC_type,type,
name_skC: $i ).
thf(constr_adec_type,type,
constr_adec: $i > $i > $i ).
thf(constr_aenc_type,type,
constr_aenc: $i > $i > $i ).
thf(constr_pkey_type,type,
constr_pkey: $i > $i ).
thf(constr_CONST_2_type,type,
constr_CONST_2: $i ).
thf(constr_add_type,type,
constr_add: $i > $i > $i ).
thf(name_skB_type,type,
name_skB: $i ).
thf(name_skA_type,type,
name_skA: $i ).
thf(name_B_type,type,
name_B: $i ).
thf(constr_neg_type,type,
constr_neg: $i > $i ).
thf(tuple_out_2_type,type,
tuple_out_2: $i > $i ).
thf(tuple_client_C_out_4_type,type,
tuple_client_C_out_4: $i > $i > $i ).
thf(tuple_client_B_in_3_type,type,
tuple_client_B_in_3: $i > $i > $i ).
thf(tuple_client_A_in_2_type,type,
tuple_client_A_in_2: $i > $i ).
thf(tuple_client_A_out_5_type,type,
tuple_client_A_out_5: $i > $i ).
thf(tuple_client_D_in_2_type,type,
tuple_client_D_in_2: $i > $i ).
thf(tuple_client_D_in_1_type,type,
tuple_client_D_in_1: $i > $i ).
thf(tuple_client_A_in_4_type,type,
tuple_client_A_in_4: $i > $i > $i ).
thf(tuple_out_3_type,type,
tuple_out_3: $i > $i ).
thf(tuple_client_A_out_3_type,type,
tuple_client_A_out_3: $i > $i > $i ).
thf(tuple_client_C_in_3_type,type,
tuple_client_C_in_3: $i > $i > $i ).
thf(tuple_out_1_type,type,
tuple_out_1: $i > $i ).
thf(tuple_client_D_in_3_type,type,
tuple_client_D_in_3: $i > $i > $i ).
thf(tuple_client_B_in_1_type,type,
tuple_client_B_in_1: $i > $i ).
thf(tuple_client_C_in_1_type,type,
tuple_client_C_in_1: $i > $i ).
thf(tuple_client_D_out_4_type,type,
tuple_client_D_out_4: $i > $i > $i ).
thf(tuple_client_C_in_2_type,type,
tuple_client_C_in_2: $i > $i ).
thf(tuple_out_4_type,type,
tuple_out_4: $i > $i ).
thf(tuple_client_B_in_2_type,type,
tuple_client_B_in_2: $i > $i ).
thf(tuple_client_B_out_4_type,type,
tuple_client_B_out_4: $i > $i > $i ).
thf(tuple_client_A_in_1_type,type,
tuple_client_A_in_1: $i > $i ).
thf(tuple_true_type,type,
tuple_true: $i ).
thf(name_new0x2Dname_type,type,
name_new0x2Dname: $i > $i ).
thf(pred_mess_type,type,
pred_mess: $i > $i > $o ).
thf(tuple_false_type,type,
tuple_false: $i ).
thf(180,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_C_out_4 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax217) ).
thf(809,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_C_out_4 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(31,axiom,
name_A != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
thf(363,plain,
name_A != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(364,plain,
name_A != name_skD,
inference(polarity_switch,[status(thm)],[363]) ).
thf(365,plain,
name_A != name_skD,
inference(lifteq,[status(thm)],[364]) ).
thf(25,axiom,
constr_CONST_3 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(345,plain,
constr_CONST_3 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(346,plain,
constr_CONST_3 != name_Sb,
inference(polarity_switch,[status(thm)],[345]) ).
thf(347,plain,
name_Sb != constr_CONST_3,
inference(lifteq,[status(thm)],[346]) ).
thf(198,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax236) ).
thf(846,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(21,axiom,
constr_CONST_2 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(333,plain,
constr_CONST_2 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(132,axiom,
name_Na != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax148) ).
thf(666,plain,
name_Na != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(125,axiom,
name_Sc != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax170) ).
thf(645,plain,
name_Sc != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(219,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax228) ).
thf(892,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(251,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_4 @ B @ A ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ B ) )
& ( pred_attacker @ ( tuple_client_A_in_1 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_add @ ( constr_adec @ A @ name_skA ) @ ( constr_neg @ name_Na ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax272) ).
thf(962,plain,
! [A: $i,B: $i,C: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_4 @ B @ A ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ B ) )
& ( pred_attacker @ ( tuple_client_A_in_1 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_add @ ( constr_adec @ A @ name_skA ) @ ( constr_neg @ name_Na ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(66,axiom,
name_A != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax110) ).
thf(468,plain,
name_A != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(169,axiom,
name_skA != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax186) ).
thf(777,plain,
name_skA != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(95,axiom,
constr_ZERO != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
thf(555,plain,
constr_ZERO != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(46,axiom,
name_D != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax143) ).
thf(408,plain,
name_D != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(271,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax242) ).
thf(1005,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(12,axiom,
constr_CONST_1 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(306,plain,
constr_CONST_1 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(307,plain,
constr_CONST_1 != name_skD,
inference(polarity_switch,[status(thm)],[306]) ).
thf(308,plain,
constr_CONST_1 != name_skD,
inference(lifteq,[status(thm)],[307]) ).
thf(157,axiom,
name_D != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax139) ).
thf(741,plain,
name_D != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(210,axiom,
name_Sa != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax161) ).
thf(873,plain,
name_Sa != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(212,axiom,
pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax268) ).
thf(878,plain,
pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(109,axiom,
name_Sd != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax176) ).
thf(597,plain,
name_Sd != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(205,axiom,
pred_attacker @ name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax261) ).
thf(861,plain,
pred_attacker @ name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(104,axiom,
constr_CONST_2 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(582,plain,
constr_CONST_2 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(164,axiom,
constr_ZERO != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
thf(762,plain,
constr_ZERO != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(38,axiom,
name_Na != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax149) ).
thf(384,plain,
name_Na != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(182,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax246) ).
thf(814,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(159,axiom,
! [A: $i] :
( ( constr_add @ A @ ( constr_neg @ A ) )
= constr_ZERO ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax191) ).
thf(747,plain,
! [A: $i] :
( ( constr_add @ A @ ( constr_neg @ A ) )
= constr_ZERO ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(229,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax195) ).
thf(913,plain,
pred_attacker @ tuple_true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(190,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax243) ).
thf(829,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(222,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_aenc @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax249) ).
thf(898,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_aenc @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(49,axiom,
constr_CONST_0x30 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(417,plain,
constr_CONST_0x30 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(216,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_pkey @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax196) ).
thf(885,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_pkey @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(6,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(288,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,axiom,
name_A != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax100) ).
thf(318,plain,
name_A != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(319,plain,
name_A != name_C,
inference(polarity_switch,[status(thm)],[318]) ).
thf(320,plain,
name_A != name_C,
inference(lifteq,[status(thm)],[319]) ).
thf(127,axiom,
! [A: $i] :
( ( constr_add @ A @ constr_ZERO )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax192) ).
thf(651,plain,
! [A: $i] :
( ( constr_add @ A @ constr_ZERO )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(100,axiom,
name_B != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
thf(570,plain,
name_B != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(34,axiom,
constr_CONST_2 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(372,plain,
constr_CONST_2 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(78,axiom,
constr_CONST_0x30 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(504,plain,
constr_CONST_0x30 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(194,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_D_in_3 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax210) ).
thf(838,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_D_in_3 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(144,axiom,
name_Na != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax151) ).
thf(702,plain,
name_Na != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(24,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(342,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(343,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(polarity_switch,[status(thm)],[342]) ).
thf(344,plain,
constr_CONST_2 != constr_CONST_0x30,
inference(lifteq,[status(thm)],[343]) ).
thf(245,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax198) ).
thf(949,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(239,axiom,
name_D != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
thf(934,plain,
name_D != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(29,axiom,
name_skB != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax188) ).
thf(357,plain,
name_skB != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(209,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( pred_attacker @ ( tuple_client_C_in_3 @ C @ A ) )
& ( pred_attacker @ ( tuple_client_C_in_2 @ B ) )
& ( pred_attacker @ ( tuple_client_C_in_1 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_C_out_4 @ name_C @ ( constr_aenc @ ( constr_add @ ( constr_adec @ A @ name_skC ) @ name_Sc ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax274) ).
thf(870,plain,
! [A: $i,B: $i,C: $i] :
( ( ( pred_attacker @ ( tuple_client_C_in_3 @ C @ A ) )
& ( pred_attacker @ ( tuple_client_C_in_2 @ B ) )
& ( pred_attacker @ ( tuple_client_C_in_1 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_C_out_4 @ name_C @ ( constr_aenc @ ( constr_add @ ( constr_adec @ A @ name_skC ) @ name_Sc ) @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(254,axiom,
pred_attacker @ name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax263) ).
thf(969,plain,
pred_attacker @ name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(112,axiom,
constr_CONST_1 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(606,plain,
constr_CONST_1 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(275,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax239) ).
thf(1013,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(4,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(282,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(283,plain,
constr_CONST_0x30 != name_c,
inference(polarity_switch,[status(thm)],[282]) ).
thf(284,plain,
name_c != constr_CONST_0x30,
inference(lifteq,[status(thm)],[283]) ).
thf(74,axiom,
name_Sb != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax166) ).
thf(492,plain,
name_Sb != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(162,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(756,plain,
constr_CONST_0x30 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(173,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(789,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(107,axiom,
name_B != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
thf(591,plain,
name_B != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(17,axiom,
name_Sc != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).
thf(321,plain,
name_Sc != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(192,axiom,
constr_CONST_0x30 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(834,plain,
constr_CONST_0x30 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(240,axiom,
constr_ZERO != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
thf(937,plain,
constr_ZERO != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( constr_add @ A @ ( constr_add @ B @ C ) )
= ( constr_add @ ( constr_add @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax194) ).
thf(348,plain,
! [A: $i,B: $i,C: $i] :
( ( constr_add @ A @ ( constr_add @ B @ C ) )
= ( constr_add @ ( constr_add @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(27,axiom,
constr_CONST_2 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(351,plain,
constr_CONST_2 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(352,plain,
constr_CONST_2 != name_skD,
inference(polarity_switch,[status(thm)],[351]) ).
thf(353,plain,
constr_CONST_2 != name_skD,
inference(lifteq,[status(thm)],[352]) ).
thf(225,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax203) ).
thf(905,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(70,axiom,
constr_CONST_4 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
thf(480,plain,
constr_CONST_4 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(260,axiom,
name_Sa != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax156) ).
thf(981,plain,
name_Sa != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(139,axiom,
constr_CONST_0x30 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(687,plain,
constr_CONST_0x30 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(61,axiom,
name_B != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).
thf(453,plain,
name_B != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(168,axiom,
constr_CONST_0x30 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(774,plain,
constr_CONST_0x30 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(42,axiom,
name_c != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax183) ).
thf(396,plain,
name_c != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(130,axiom,
constr_ZERO != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
thf(660,plain,
constr_ZERO != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(200,axiom,
name_Sa != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax159) ).
thf(849,plain,
name_Sa != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(79,axiom,
constr_CONST_1 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(507,plain,
constr_CONST_1 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(14,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(312,plain,
constr_CONST_1 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(7,axiom,
constr_ZERO != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax98) ).
thf(291,plain,
constr_ZERO != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(292,plain,
constr_ZERO != name_skD,
inference(polarity_switch,[status(thm)],[291]) ).
thf(293,plain,
name_skD != constr_ZERO,
inference(lifteq,[status(thm)],[292]) ).
thf(248,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax230) ).
thf(956,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(47,axiom,
constr_CONST_2 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(411,plain,
constr_CONST_2 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(263,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax227) ).
thf(988,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(233,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_D_in_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax216) ).
thf(920,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_D_in_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(136,axiom,
constr_CONST_3 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(678,plain,
constr_CONST_3 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(92,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
thf(546,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(235,axiom,
constr_CONST_4 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
thf(925,plain,
constr_CONST_4 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(37,axiom,
constr_CONST_2 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(381,plain,
constr_CONST_2 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(32,axiom,
name_D != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax144) ).
thf(366,plain,
name_D != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(88,axiom,
name_skA != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax185) ).
thf(534,plain,
name_skA != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(148,axiom,
name_B != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).
thf(714,plain,
name_B != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(176,axiom,
constr_CONST_0x30 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(798,plain,
constr_CONST_0x30 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(188,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax240) ).
thf(825,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(189,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax254) ).
thf(828,plain,
pred_attacker @ constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(1,conjecture,
pred_attacker @ name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ( pred_attacker @ name_Sa ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(278,plain,
~ ( pred_attacker @ name_Sa ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1020,plain,
( ( pred_attacker @ constr_CONST_3 )
!= ( pred_attacker @ name_Sa ) ),
inference(paramod_ordered,[status(thm)],[828,278]) ).
thf(1021,plain,
constr_CONST_3 != name_Sa,
inference(simp,[status(thm)],[1020]) ).
thf(10,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(300,plain,
constr_CONST_4 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(301,plain,
constr_CONST_4 != name_A,
inference(polarity_switch,[status(thm)],[300]) ).
thf(302,plain,
name_A != constr_CONST_4,
inference(lifteq,[status(thm)],[301]) ).
thf(206,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_C_in_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax225) ).
thf(862,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_C_in_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(185,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_D_in_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax215) ).
thf(820,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_D_in_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(97,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(561,plain,
constr_CONST_3 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(9,axiom,
constr_CONST_3 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(297,plain,
constr_CONST_3 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(53,axiom,
name_c != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax182) ).
thf(429,plain,
name_c != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(153,axiom,
constr_CONST_1 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(729,plain,
constr_CONST_1 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(141,axiom,
constr_CONST_3 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(693,plain,
constr_CONST_3 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(120,axiom,
constr_CONST_1 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(630,plain,
constr_CONST_1 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(231,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_in_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax248) ).
thf(916,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_in_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(213,axiom,
name_Sa != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax157) ).
thf(879,plain,
name_Sa != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( constr_adec @ ( constr_aenc @ B @ ( constr_pkey @ A ) ) @ A )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax190) ).
thf(327,plain,
! [A: $i,B: $i] :
( ( constr_adec @ ( constr_aenc @ B @ ( constr_pkey @ A ) ) @ A )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(328,plain,
! [B: $i,A: $i] :
( ( constr_adec @ ( constr_aenc @ B @ ( constr_pkey @ A ) ) @ A )
= B ),
inference(cnf,[status(esa)],[327]) ).
thf(329,plain,
! [B: $i,A: $i] :
( ( constr_adec @ ( constr_aenc @ B @ ( constr_pkey @ A ) ) @ A )
= B ),
inference(lifteq,[status(thm)],[328]) ).
thf(84,axiom,
constr_CONST_4 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
thf(522,plain,
constr_CONST_4 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(218,axiom,
name_Sa != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax154) ).
thf(889,plain,
name_Sa != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(62,axiom,
constr_CONST_4 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
thf(456,plain,
constr_CONST_4 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(5,axiom,
name_C != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax125) ).
thf(285,plain,
name_C != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(201,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_3 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax199) ).
thf(852,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(55,axiom,
name_D != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax137) ).
thf(435,plain,
name_D != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(18,axiom,
name_skC != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax189) ).
thf(324,plain,
name_skC != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(257,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_add @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax251) ).
thf(974,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_add @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(83,axiom,
constr_CONST_3 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(519,plain,
constr_CONST_3 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(15,axiom,
name_C != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax130) ).
thf(315,plain,
name_C != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(316,plain,
name_C != name_c,
inference(polarity_switch,[status(thm)],[315]) ).
thf(317,plain,
name_C != name_c,
inference(lifteq,[status(thm)],[316]) ).
thf(277,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ C @ A ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ B ) )
& ( pred_attacker @ ( tuple_client_B_in_1 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ name_B @ ( constr_aenc @ ( constr_add @ ( constr_adec @ A @ name_skB ) @ name_Sb ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax273) ).
thf(1017,plain,
! [A: $i,B: $i,C: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ C @ A ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ B ) )
& ( pred_attacker @ ( tuple_client_B_in_1 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ name_B @ ( constr_aenc @ ( constr_add @ ( constr_adec @ A @ name_skB ) @ name_Sb ) @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(115,axiom,
constr_ZERO != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
thf(615,plain,
constr_ZERO != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(28,axiom,
name_D != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax140) ).
thf(354,plain,
name_D != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(355,plain,
name_D != name_c,
inference(polarity_switch,[status(thm)],[354]) ).
thf(356,plain,
name_D != name_c,
inference(lifteq,[status(thm)],[355]) ).
thf(171,axiom,
constr_CONST_0x30 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(783,plain,
constr_CONST_0x30 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(50,axiom,
constr_CONST_4 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
thf(420,plain,
constr_CONST_4 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(67,axiom,
name_B != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
thf(471,plain,
name_B != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(23,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(339,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(161,axiom,
name_Na != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax152) ).
thf(753,plain,
name_Na != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(89,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(537,plain,
constr_CONST_4 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(133,axiom,
name_D != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
thf(669,plain,
name_D != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(124,axiom,
name_Sd != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax179) ).
thf(642,plain,
name_Sd != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(73,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(489,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(255,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
& ( pred_attacker @ ( tuple_client_A_in_1 @ B ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ name_A @ ( constr_aenc @ ( constr_add @ name_Na @ name_Sa ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax271) ).
thf(970,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
& ( pred_attacker @ ( tuple_client_A_in_1 @ B ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ name_A @ ( constr_aenc @ ( constr_add @ name_Na @ name_Sa ) @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(193,axiom,
pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax267) ).
thf(837,plain,
pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(41,axiom,
name_Sc != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax172) ).
thf(393,plain,
name_Sc != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(268,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax238) ).
thf(997,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(156,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(738,plain,
constr_CONST_2 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(128,axiom,
constr_CONST_3 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(654,plain,
constr_CONST_3 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(270,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_D_in_3 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax211) ).
thf(1002,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_D_in_3 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(261,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_C_in_2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax223) ).
thf(984,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_C_in_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(228,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax245) ).
thf(911,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(174,axiom,
constr_CONST_4 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
thf(792,plain,
constr_CONST_4 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(13,axiom,
name_C != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
thf(309,plain,
name_C != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(310,plain,
name_C != name_D,
inference(polarity_switch,[status(thm)],[309]) ).
thf(311,plain,
name_D != name_C,
inference(lifteq,[status(thm)],[310]) ).
thf(129,axiom,
name_Sb != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax168) ).
thf(657,plain,
name_Sb != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(165,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
thf(765,plain,
constr_CONST_4 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(96,axiom,
name_Sd != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax178) ).
thf(558,plain,
name_Sd != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(121,axiom,
name_Sd != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax177) ).
thf(633,plain,
name_Sd != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(30,axiom,
name_c != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax180) ).
thf(360,plain,
name_c != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(116,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(618,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(81,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(513,plain,
constr_CONST_2 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(187,axiom,
pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skC ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax269) ).
thf(824,plain,
pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skC ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(203,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax232) ).
thf(856,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(3,axiom,
constr_CONST_4 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
thf(279,plain,
constr_CONST_4 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(101,axiom,
name_Sc != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax174) ).
thf(573,plain,
name_Sc != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(8,axiom,
constr_CONST_0x30 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(294,plain,
constr_CONST_0x30 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(295,plain,
constr_CONST_0x30 != name_Sd,
inference(polarity_switch,[status(thm)],[294]) ).
thf(296,plain,
name_Sd != constr_CONST_0x30,
inference(lifteq,[status(thm)],[295]) ).
thf(58,axiom,
name_D != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax135) ).
thf(444,plain,
name_D != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(35,axiom,
constr_CONST_4 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
thf(375,plain,
constr_CONST_4 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(252,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_D_out_4 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax208) ).
thf(965,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_D_out_4 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(160,axiom,
constr_CONST_4 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
thf(750,plain,
constr_CONST_4 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(51,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(423,plain,
constr_CONST_0x30 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(272,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax234) ).
thf(1007,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(44,axiom,
constr_ZERO != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).
thf(402,plain,
constr_ZERO != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(154,axiom,
name_skA != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax184) ).
thf(732,plain,
name_skA != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(196,axiom,
pred_attacker @ name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax262) ).
thf(843,plain,
pred_attacker @ name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(147,axiom,
constr_ZERO != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
thf(711,plain,
constr_ZERO != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(249,axiom,
constr_CONST_1 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(958,plain,
constr_CONST_1 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(280,plain,
constr_CONST_4 != name_Sc,
inference(polarity_switch,[status(thm)],[279]) ).
thf(281,plain,
name_Sc != constr_CONST_4,
inference(lifteq,[status(thm)],[280]) ).
thf(103,axiom,
name_A != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
thf(579,plain,
name_A != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(76,axiom,
constr_CONST_0x30 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(498,plain,
constr_CONST_0x30 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(334,plain,
constr_CONST_2 != name_D,
inference(polarity_switch,[status(thm)],[333]) ).
thf(335,plain,
constr_CONST_2 != name_D,
inference(lifteq,[status(thm)],[334]) ).
thf(178,axiom,
name_B != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
thf(804,plain,
name_B != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(244,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax241) ).
thf(947,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(90,axiom,
constr_CONST_3 != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(540,plain,
constr_CONST_3 != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(134,axiom,
name_A != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
thf(672,plain,
name_A != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(259,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_4 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax197) ).
thf(979,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(223,axiom,
name_C != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
thf(900,plain,
name_C != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(137,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(681,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(274,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_D_out_4 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax209) ).
thf(1011,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_D_out_4 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(264,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax206) ).
thf(990,plain,
pred_attacker @ tuple_false,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(11,axiom,
name_Sb != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax164) ).
thf(303,plain,
name_Sb != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(361,plain,
name_c != name_skA,
inference(polarity_switch,[status(thm)],[360]) ).
thf(362,plain,
name_skA != name_c,
inference(lifteq,[status(thm)],[361]) ).
thf(99,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(567,plain,
constr_CONST_3 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(69,axiom,
name_B != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax112) ).
thf(477,plain,
name_B != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(183,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax237) ).
thf(816,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(113,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(609,plain,
constr_CONST_3 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(322,plain,
name_Sc != name_skC,
inference(polarity_switch,[status(thm)],[321]) ).
thf(323,plain,
name_skC != name_Sc,
inference(lifteq,[status(thm)],[322]) ).
thf(108,axiom,
constr_CONST_3 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(594,plain,
constr_CONST_3 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(152,axiom,
name_B != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
thf(726,plain,
name_B != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(117,axiom,
name_Na != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax150) ).
thf(621,plain,
name_Na != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(71,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(483,plain,
constr_CONST_0x30 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(199,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax260) ).
thf(848,plain,
pred_attacker @ name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(220,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax256) ).
thf(895,plain,
pred_attacker @ constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(242,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax253) ).
thf(943,plain,
pred_attacker @ constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(20,axiom,
name_A != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
thf(330,plain,
name_A != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(64,axiom,
name_Sd != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax175) ).
thf(462,plain,
name_Sd != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(181,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax231) ).
thf(811,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(39,axiom,
constr_CONST_1 != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(387,plain,
constr_CONST_1 != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(204,axiom,
constr_CONST_2 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(858,plain,
constr_CONST_2 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(94,axiom,
name_skB != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax187) ).
thf(552,plain,
name_skB != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(43,axiom,
name_D != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax142) ).
thf(399,plain,
name_D != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(166,axiom,
constr_CONST_0x30 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(768,plain,
constr_CONST_0x30 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(122,axiom,
constr_CONST_1 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(636,plain,
constr_CONST_1 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(170,axiom,
name_B != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).
thf(780,plain,
name_B != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(215,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax233) ).
thf(883,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(276,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax259) ).
thf(1015,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(298,plain,
constr_CONST_3 != name_Sd,
inference(polarity_switch,[status(thm)],[297]) ).
thf(299,plain,
name_Sd != constr_CONST_3,
inference(lifteq,[status(thm)],[298]) ).
thf(56,axiom,
name_Sb != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax167) ).
thf(438,plain,
name_Sb != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(234,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_C_in_3 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax221) ).
thf(922,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_C_in_3 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(262,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_C_in_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax226) ).
thf(986,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_C_in_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(135,axiom,
name_D != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax141) ).
thf(675,plain,
name_D != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(52,axiom,
name_C != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax129) ).
thf(426,plain,
name_C != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(175,axiom,
constr_CONST_2 != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(795,plain,
constr_CONST_2 != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(131,axiom,
constr_ZERO != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
thf(663,plain,
constr_ZERO != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(126,axiom,
constr_ZERO != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
thf(648,plain,
constr_ZERO != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(82,axiom,
constr_CONST_3 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(516,plain,
constr_CONST_3 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(253,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax257) ).
thf(968,plain,
pred_attacker @ constr_CONST_0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(87,axiom,
name_Sb != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax162) ).
thf(531,plain,
name_Sb != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(243,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_C_out_4 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax218) ).
thf(944,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_C_out_4 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(85,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(525,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(140,axiom,
name_A != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax108) ).
thf(690,plain,
name_A != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(1024,plain,
( ( pred_attacker @ name_c )
!= ( pred_attacker @ name_Sa ) ),
inference(paramod_ordered,[status(thm)],[848,278]) ).
thf(1025,plain,
name_c != name_Sa,
inference(simp,[status(thm)],[1024]) ).
thf(217,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_D_in_2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax213) ).
thf(887,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_D_in_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(48,axiom,
constr_CONST_2 != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(414,plain,
constr_CONST_2 != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(247,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_C_in_3 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax220) ).
thf(954,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_C_in_3 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(266,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_adec @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax250) ).
thf(993,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_adec @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(145,axiom,
name_A != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
thf(705,plain,
name_A != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(57,axiom,
name_A != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax107) ).
thf(441,plain,
name_A != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(105,axiom,
constr_CONST_1 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(585,plain,
constr_CONST_1 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(149,axiom,
! [A: $i,B: $i] :
( ( constr_add @ A @ B )
= ( constr_add @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax193) ).
thf(717,plain,
! [A: $i,B: $i] :
( ( constr_add @ A @ B )
= ( constr_add @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(195,axiom,
name_Sa != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax155) ).
thf(840,plain,
name_Sa != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(22,axiom,
name_Na != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax146) ).
thf(336,plain,
name_Na != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(337,plain,
name_Na != name_Sb,
inference(polarity_switch,[status(thm)],[336]) ).
thf(338,plain,
name_Sb != name_Na,
inference(lifteq,[status(thm)],[337]) ).
thf(102,axiom,
name_Sc != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax169) ).
thf(576,plain,
name_Sc != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(246,axiom,
name_Sa != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax158) ).
thf(951,plain,
name_Sa != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(358,plain,
name_skB != name_skD,
inference(polarity_switch,[status(thm)],[357]) ).
thf(359,plain,
name_skB != name_skD,
inference(lifteq,[status(thm)],[358]) ).
thf(226,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax255) ).
thf(907,plain,
pred_attacker @ constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(158,axiom,
name_C != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).
thf(744,plain,
name_C != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(1022,plain,
( ( pred_attacker @ name_C )
!= ( pred_attacker @ name_Sa ) ),
inference(paramod_ordered,[status(thm)],[843,278]) ).
thf(1023,plain,
name_C != name_Sa,
inference(simp,[status(thm)],[1022]) ).
thf(110,axiom,
name_c != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax181) ).
thf(600,plain,
name_c != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(207,axiom,
name_B != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
thf(864,plain,
name_B != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(313,plain,
constr_CONST_1 != constr_ZERO,
inference(polarity_switch,[status(thm)],[312]) ).
thf(314,plain,
constr_CONST_1 != constr_ZERO,
inference(lifteq,[status(thm)],[313]) ).
thf(114,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
thf(612,plain,
constr_ZERO != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(211,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_D_out_4 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax207) ).
thf(876,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_D_out_4 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(265,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax201) ).
thf(991,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(65,axiom,
constr_ZERO != name_Na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
thf(465,plain,
constr_ZERO != name_Na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(119,axiom,
name_Sc != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax171) ).
thf(627,plain,
name_Sc != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(60,axiom,
name_C != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
thf(450,plain,
name_C != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(238,axiom,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax258) ).
thf(931,plain,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(75,axiom,
name_Na != name_skD,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax153) ).
thf(495,plain,
name_Na != name_skD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(163,axiom,
constr_CONST_3 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(759,plain,
constr_CONST_3 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(197,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_C_out_4 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax219) ).
thf(844,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_C_out_4 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(167,axiom,
constr_CONST_1 != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(771,plain,
constr_CONST_1 != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(258,axiom,
constr_CONST_3 != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(976,plain,
constr_CONST_3 != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(224,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_in_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax247) ).
thf(903,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_in_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(250,axiom,
pred_attacker @ constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax252) ).
thf(961,plain,
pred_attacker @ constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(221,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_C_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax224) ).
thf(896,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_C_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(40,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(390,plain,
constr_CONST_1 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(172,axiom,
name_A != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
thf(786,plain,
name_A != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(267,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_neg @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax205) ).
thf(995,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_neg @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(106,axiom,
name_Sb != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).
thf(588,plain,
name_Sb != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(143,axiom,
constr_CONST_2 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(699,plain,
constr_CONST_2 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(80,axiom,
constr_CONST_1 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(510,plain,
constr_CONST_1 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(237,axiom,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax266) ).
thf(929,plain,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(93,axiom,
constr_CONST_0x30 != name_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(549,plain,
constr_CONST_0x30 != name_C,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(286,plain,
name_C != name_Na,
inference(polarity_switch,[status(thm)],[285]) ).
thf(287,plain,
name_Na != name_C,
inference(lifteq,[status(thm)],[286]) ).
thf(289,plain,
constr_CONST_3 != constr_CONST_4,
inference(polarity_switch,[status(thm)],[288]) ).
thf(290,plain,
constr_CONST_3 != constr_CONST_4,
inference(lifteq,[status(thm)],[289]) ).
thf(230,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_D_in_3 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax212) ).
thf(914,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_D_in_3 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(36,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(378,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(191,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_C_in_3 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax222) ).
thf(832,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_C_in_3 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(138,axiom,
constr_ZERO != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax96) ).
thf(684,plain,
constr_ZERO != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(269,axiom,
name_Na != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax145) ).
thf(999,plain,
name_Na != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(59,axiom,
name_C != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax127) ).
thf(447,plain,
name_C != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(54,axiom,
name_A != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
thf(432,plain,
name_A != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(184,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_D_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax214) ).
thf(818,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_D_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(45,axiom,
name_B != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
thf(405,plain,
name_B != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(202,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax204) ).
thf(854,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(208,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( pred_attacker @ ( tuple_client_D_in_3 @ C @ A ) )
& ( pred_attacker @ ( tuple_client_D_in_2 @ B ) )
& ( pred_attacker @ ( tuple_client_D_in_1 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_D_out_4 @ name_D @ ( constr_aenc @ ( constr_add @ ( constr_adec @ A @ name_skD ) @ name_Sd ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax275) ).
thf(867,plain,
! [A: $i,B: $i,C: $i] :
( ( ( pred_attacker @ ( tuple_client_D_in_3 @ C @ A ) )
& ( pred_attacker @ ( tuple_client_D_in_2 @ B ) )
& ( pred_attacker @ ( tuple_client_D_in_1 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_D_out_4 @ name_D @ ( constr_aenc @ ( constr_add @ ( constr_adec @ A @ name_skD ) @ name_Sd ) @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(111,axiom,
name_C != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax128) ).
thf(603,plain,
name_C != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(155,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(735,plain,
constr_CONST_1 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(98,axiom,
name_Sb != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax163) ).
thf(564,plain,
name_Sb != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(304,plain,
name_Sb != name_c,
inference(polarity_switch,[status(thm)],[303]) ).
thf(305,plain,
name_Sb != name_c,
inference(lifteq,[status(thm)],[304]) ).
thf(325,plain,
name_skC != name_skD,
inference(polarity_switch,[status(thm)],[324]) ).
thf(326,plain,
name_skC != name_skD,
inference(lifteq,[status(thm)],[325]) ).
thf(340,plain,
constr_CONST_2 != constr_CONST_3,
inference(polarity_switch,[status(thm)],[339]) ).
thf(341,plain,
constr_CONST_2 != constr_CONST_3,
inference(lifteq,[status(thm)],[340]) ).
thf(179,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax202) ).
thf(807,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(68,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).
thf(474,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(142,axiom,
constr_CONST_2 != name_Sd,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(696,plain,
constr_CONST_2 != name_Sd,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(150,axiom,
name_B != name_D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
thf(720,plain,
name_B != name_D,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(236,axiom,
pred_attacker @ name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax264) ).
thf(928,plain,
pred_attacker @ name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(232,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax235) ).
thf(918,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(177,axiom,
name_C != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax132) ).
thf(801,plain,
name_C != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(118,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(624,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(331,plain,
name_A != name_Sd,
inference(polarity_switch,[status(thm)],[330]) ).
thf(332,plain,
name_A != name_Sd,
inference(lifteq,[status(thm)],[331]) ).
thf(86,axiom,
constr_ZERO != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
thf(528,plain,
constr_ZERO != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(63,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(459,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(227,axiom,
name_A != name_Sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
thf(908,plain,
name_A != name_Sa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(151,axiom,
constr_CONST_4 != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
thf(723,plain,
constr_CONST_4 != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(186,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax244) ).
thf(822,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(77,axiom,
name_A != name_Sb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
thf(501,plain,
name_A != name_Sb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(33,axiom,
constr_CONST_4 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
thf(369,plain,
constr_CONST_4 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(72,axiom,
name_Na != name_Sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax147) ).
thf(486,plain,
name_Na != name_Sc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(241,axiom,
name_Sa != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax160) ).
thf(940,plain,
name_Sa != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(273,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax200) ).
thf(1009,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(91,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(543,plain,
constr_CONST_2 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(123,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(639,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(146,axiom,
name_C != name_skC,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax133) ).
thf(708,plain,
name_C != name_skC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(214,axiom,
pred_attacker @ ( tuple_out_4 @ ( constr_pkey @ name_skD ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax270) ).
thf(882,plain,
pred_attacker @ ( tuple_out_4 @ ( constr_pkey @ name_skD ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(256,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax229) ).
thf(972,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(16202,plain,
$false,
inference(e,[status(thm)],[809,365,347,846,333,666,645,892,962,468,777,555,408,1005,308,741,873,878,597,861,582,762,384,814,747,913,829,898,417,885,288,320,651,570,372,504,838,702,344,949,934,357,870,969,606,1013,284,492,756,789,591,321,834,937,348,353,905,480,981,687,453,774,396,660,849,507,312,293,956,411,988,920,678,546,925,381,366,534,714,798,825,1021,302,862,820,561,297,429,729,693,630,916,879,329,522,889,456,285,852,435,324,974,519,317,1017,615,356,783,420,471,339,753,537,669,642,489,970,837,393,997,738,654,1002,984,911,792,311,657,765,558,633,360,618,513,824,856,279,573,296,444,375,965,750,423,1007,402,732,843,711,958,281,579,291,498,335,804,947,540,672,979,900,681,1011,990,318,303,362,567,477,816,609,323,594,726,621,483,848,895,943,330,462,811,387,345,858,552,399,768,636,278,780,883,1015,299,438,922,986,306,675,426,795,663,648,516,342,968,531,944,525,690,1025,887,414,327,954,993,705,282,441,585,717,840,338,576,951,359,907,744,336,1023,600,864,314,612,876,991,465,627,450,363,931,495,759,844,771,976,903,961,896,351,390,786,995,588,699,510,929,549,287,290,914,378,832,684,300,999,447,315,432,818,405,854,867,603,735,564,305,326,341,807,474,828,696,720,928,294,918,801,624,332,528,459,908,723,822,501,369,486,940,354,1009,309,543,639,708,882,972]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW958+1 : TPTP v8.2.0. Released v7.4.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 08:25:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.95/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.35/1.04 % [INFO] Parsing done (172ms).
% 1.35/1.05 % [INFO] Running in sequential loop mode.
% 1.95/1.26 % [INFO] eprover registered as external prover.
% 1.95/1.26 % [INFO] Scanning for conjecture ...
% 2.06/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 276 axioms. Running axiom selection ...
% 2.30/1.40 % [INFO] Axiom selection finished. Selected 275 axioms (removed 1 axioms).
% 2.78/1.48 % [INFO] Problem is first-order (TPTP FOF).
% 2.78/1.49 % [INFO] Type checking passed.
% 2.78/1.49 % [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 ...
% 38.29/8.47 % External prover 'e' found a proof!
% 38.29/8.47 % [INFO] Killing All external provers ...
% 38.29/8.47 % Time passed: 7944ms (effective reasoning time: 7423ms)
% 38.29/8.47 % 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)>
% 38.29/8.48 % Axioms used in derivation (275): ax20, ax204, ax255, ax249, ax52, ax222, ax67, ax239, ax195, ax120, ax110, ax272, ax206, ax143, ax237, ax217, ax74, ax211, ax226, ax148, ax24, ax63, ax266, ax109, ax166, ax132, ax56, ax103, ax4, ax47, ax114, ax177, ax188, ax233, ax228, ax215, ax250, ax137, ax41, ax159, ax96, ax199, ax126, ax261, ax154, ax31, ax90, ax184, ax28, ax9, ax198, ax153, ax147, ax17, ax158, ax0, ax6, ax133, ax40, ax121, ax131, ax35, ax58, ax180, ax45, ax122, ax85, ax69, ax267, ax256, ax13, ax245, ax191, ax216, ax187, ax174, ax155, ax142, ax78, ax125, ax39, ax89, ax205, ax176, ax244, ax185, ax262, ax190, ax124, ax27, ax203, ax66, ax178, ax8, ax91, ax73, ax254, ax183, ax51, ax48, ax21, ax240, ax172, ax136, ax232, ax214, ax167, ax88, ax150, ax200, ax160, ax194, ax210, ax157, ax117, ax236, ax221, ax10, ax248, ax189, ax62, ax106, ax55, ax32, ax259, ax95, ax273, ax16, ax225, ax146, ax243, ax113, ax269, ax80, ax59, ax99, ax102, ax173, ax1, ax251, ax7, ax77, ax38, ax164, ax44, ax258, ax84, ax175, ax139, ax92, ax94, ax186, ax224, ax33, ax26, ax61, ax231, ax168, ax11, ax247, ax50, ax118, ax87, ax162, ax208, ax235, ax72, ax128, ax65, ax22, ax105, ax253, ax15, ax197, ax145, ax202, ax241, ax275, ax179, ax264, ax213, ax81, ax76, ax43, ax274, ax83, ax263, ax242, ax151, ax229, ax19, ax193, ax2, ax101, ax252, ax220, ax70, ax140, ax98, ax129, ax171, ax207, ax270, ax230, ax135, ax37, ax161, ax182, ax54, ax49, ax112, ax218, ax127, ax104, ax165, ax138, ax14, ax144, ax246, ax163, ax115, ax257, ax209, ax149, ax108, ax12, ax227, ax46, ax34, ax23, ax268, ax86, ax25, ax60, ax71, ax238, ax196, ax223, ax97, ax57, ax68, ax212, ax170, ax42, ax82, ax219, ax30, ax192, ax18, ax156, ax141, ax5, ax130, ax36, ax234, ax64, ax116, ax107, ax181, ax75, ax3, ax260, ax29, ax201, ax100, ax134, ax93, ax169, ax271, ax152, ax53, ax119, ax111, ax79, ax123
% 38.29/8.48 % No. of inferences in proof: 616
% 38.29/8.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 7944 ms resp. 7423 ms w/o parsing
% 38.29/8.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 38.29/8.54 % [INFO] Killing All external provers ...
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