TSTP Solution File: SWV352-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV352-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.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 : 600s
% DateTime : Wed Jul 20 20:12:01 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 41
% Syntax : Number of formulae : 122 ( 61 unt; 29 typ; 0 def)
% Number of atoms : 465 ( 125 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 2222 ( 107 ~; 130 |; 0 &;1985 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 17 con; 0-3 aty)
% Number of variables : 360 ( 0 ^ 360 !; 0 ?; 360 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(tp_c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(tp_c_Event_Oknows,type,
c_Event_Oknows: $i > $i > $i ).
thf(tp_c_List_Oset,type,
c_List_Oset: $i > $i > $i ).
thf(tp_c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
thf(tp_c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
thf(tp_c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
thf(tp_c_Message_Omsg_OAgent,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(tp_c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(tp_c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
thf(tp_c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(tp_c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(tp_c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
thf(tp_c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
thf(tp_c_Yahalom_Oyahalom,type,
c_Yahalom_Oyahalom: $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
thf(tp_tc_List_Olist,type,
tc_List_Olist: $i > $i ).
thf(tp_tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
thf(tp_v_A,type,
v_A: $i ).
thf(tp_v_Aa,type,
v_Aa: $i ).
thf(tp_v_B,type,
v_B: $i ).
thf(tp_v_Ba,type,
v_Ba: $i ).
thf(tp_v_K,type,
v_K: $i ).
thf(tp_v_NA,type,
v_NA: $i ).
thf(tp_v_NB,type,
v_NB: $i ).
thf(tp_v_NBa,type,
v_NBa: $i ).
thf(tp_v_X,type,
v_X: $i ).
thf(tp_v_evso,type,
v_evso: $i ).
thf(1,axiom,
! [V_evs: $i,V_B: $i,V_A: $i,V_na: $i,V_NB: $i,V_B_H: $i,V_A_H: $i,V_nb_H: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ V_nb_H ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).
thf(2,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_k: $i,V_na: $i,V_nb: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
thf(3,axiom,
! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
thf(4,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
thf(5,axiom,
! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
thf(6,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
thf(7,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__spies_0) ).
thf(8,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(9,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,negated_conjecture,
~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(11,negated_conjecture,
c_in @ ( c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(12,negated_conjecture,
c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NBa ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(13,negated_conjecture,
c_in @ v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(14,plain,
$false = $false,
inference(unfold_def,[status(thm)],[9]) ).
thf(15,plain,
( ( ! [V_evs: $i,V_B: $i,V_A: $i,V_na: $i,V_NB: $i,V_B_H: $i,V_A_H: $i,V_nb_H: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ V_nb_H ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_k: $i,V_na: $i,V_nb: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( ! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(23,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(24,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NBa ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(25,plain,
( ( c_in @ v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(26,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(27,plain,
( ( ! [V_evs: $i,V_B: $i,V_A: $i,V_na: $i,V_NB: $i,V_B_H: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ! [V_A_H: $i,V_nb_H: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ V_nb_H ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(28,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_k: $i,V_na: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_nb: $i] :
( ! [V_X: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(29,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_B: $i,V_X: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(30,plain,
( ( c_in @ v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(31,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NBa ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(32,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(33,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(34,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(35,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(36,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(37,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(38,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_B: $i,V_X: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(39,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_k: $i,V_na: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_nb: $i] :
( ! [V_X: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(40,plain,
( ( ! [V_evs: $i,V_B: $i,V_A: $i,V_na: $i,V_NB: $i,V_B_H: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ! [V_A_H: $i,V_nb_H: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ V_nb_H ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(41,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(42,plain,
( ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(43,plain,
! [SV1: $i] :
( ( ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SY28 @ SY29 ) @ ( c_List_Oset @ SY30 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY29 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY30 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(44,plain,
! [SV2: $i] :
( ( ! [SY31: $i,SY32: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SY31 ) @ ( c_Message_Oparts @ SY32 ) @ tc_Message_Omsg )
| ( c_in @ SY31 @ ( c_Message_Oparts @ SY32 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(45,plain,
! [SV3: $i] :
( ( ! [SY33: $i] :
( ~ ( c_in @ SV3 @ SY33 @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oparts @ SY33 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(46,plain,
! [SV4: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oanalz @ SV4 ) )
= ( c_Message_Oparts @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(47,plain,
! [SV5: $i] :
( ( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY34: $i,SY35: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY34 @ SY35 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY35 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(48,plain,
! [SV6: $i] :
( ( ! [SY36: $i,SY37: $i,SY38: $i,SY39: $i] :
( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY40: $i] :
( ! [SY41: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY36 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY36 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY37 ) @ ( c_Message_Omsg_OMPair @ SY38 @ ( c_Message_Omsg_OMPair @ SY39 @ SY40 ) ) ) ) @ SY41 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY37 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY37 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY36 ) @ ( c_Message_Omsg_OMPair @ SY39 @ SY40 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(49,plain,
! [SV7: $i] :
( ( ! [SY42: $i,SY43: $i,SY44: $i,SY45: $i,SY46: $i] :
( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY43 ) @ ( c_Message_Omsg_OMPair @ SY44 @ ( c_Message_Omsg_ONonce @ SY45 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY47: $i,SY48: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY46 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY47 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY45 ) @ SY48 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SY45 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(50,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(51,plain,
! [SV8: $i,SV1: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SY49 ) @ ( c_List_Oset @ SY50 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY49 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY50 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(52,plain,
! [SV9: $i,SV2: $i] :
( ( ! [SY51: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV9 ) @ ( c_Message_Oparts @ SY51 ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ ( c_Message_Oparts @ SY51 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( c_in @ SV3 @ SV10 @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oparts @ SV10 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY34: $i,SY35: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY34 @ SY35 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY35 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV11: $i,SV6: $i] :
( ( ! [SY52: $i,SY53: $i,SY54: $i] :
( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY55: $i] :
( ! [SY56: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY52 ) @ ( c_Message_Omsg_OMPair @ SY53 @ ( c_Message_Omsg_OMPair @ SY54 @ SY55 ) ) ) ) @ SY56 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY52 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY52 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SY54 @ SY55 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV12: $i,SV7: $i] :
( ( ! [SY57: $i,SY58: $i,SY59: $i,SY60: $i] :
( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY57 ) @ ( c_Message_Omsg_OMPair @ SY58 @ ( c_Message_Omsg_ONonce @ SY59 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY47: $i,SY48: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY60 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY47 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY59 ) @ SY48 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SY59 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV13: $i,SV8: $i,SV1: $i] :
( ( ! [SY63: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SV13 ) @ ( c_List_Oset @ SY63 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV13 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY63 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV14: $i,SV9: $i,SV2: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV9 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( c_in @ SV3 @ SV10 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV3 @ ( c_Message_Oparts @ SV10 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV5: $i] :
( ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY34: $i,SY35: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY34 @ SY35 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY35 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV15: $i,SV11: $i,SV6: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY66: $i] :
( ! [SY67: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY64 @ ( c_Message_Omsg_OMPair @ SY65 @ SY66 ) ) ) ) @ SY67 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SY65 @ SY66 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV16: $i,SV12: $i,SV7: $i] :
( ( ! [SY68: $i,SY69: $i,SY70: $i] :
( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SY68 @ ( c_Message_Omsg_ONonce @ SY69 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY47: $i,SY48: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY70 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY47 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY69 ) @ SY48 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SY69 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV17: $i,SV13: $i,SV8: $i,SV1: $i] :
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SV13 ) @ ( c_List_Oset @ SV17 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV13 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV17 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV14: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV9 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV9 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV10: $i,SV3: $i] :
( ( ( c_in @ SV3 @ SV10 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV3 @ ( c_Message_Oparts @ SV10 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV5: $i,SV18: $i] :
( ( ( ! [SY73: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV18 @ SY73 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY73 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(67,plain,
! [SV19: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ! [SY74: $i] :
( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY75: $i] :
( ! [SY76: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SY74 @ SY75 ) ) ) ) @ SY76 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SY74 @ SY75 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV20: $i,SV16: $i,SV12: $i,SV7: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SY77 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY47: $i,SY48: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY78 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY47 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY77 ) @ SY48 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SY77 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(69,plain,
! [SV17: $i,SV13: $i,SV8: $i,SV1: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SV13 ) @ ( c_List_Oset @ SV17 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV13 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV17 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(70,plain,
! [SV14: $i,SV9: $i,SV2: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV9 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV9 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(71,plain,
! [SV5: $i,SV21: $i,SV18: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV18 @ SV21 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV21 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV22: $i,SV19: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY81: $i] :
( ! [SY82: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV22 @ SY81 ) ) ) ) @ SY82 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SV22 @ SY81 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV23: $i,SV20: $i,SV16: $i,SV12: $i,SV7: $i] :
( ( ! [SY83: $i] :
( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY84: $i,SY85: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY83 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY84 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SY85 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV17: $i,SV13: $i,SV8: $i,SV1: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SV13 ) @ ( c_List_Oset @ SV17 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV13 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV17 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV5: $i,SV21: $i,SV18: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV18 @ SV21 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV21 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV22: $i,SV19: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY81: $i] :
( ! [SY82: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV22 @ SY81 ) ) ) ) @ SY82 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SV22 @ SY81 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV24: $i,SV23: $i,SV20: $i,SV16: $i,SV12: $i,SV7: $i] :
( ( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY86: $i,SY87: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SY87 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(78,plain,
! [SV5: $i,SV21: $i,SV18: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV18 @ SV21 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV21 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV22: $i,SV19: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY81: $i] :
( ! [SY82: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV22 @ SY81 ) ) ) ) @ SY82 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SV22 @ SY81 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(80,plain,
! [SV24: $i,SV23: $i,SV20: $i,SV16: $i,SV12: $i,SV7: $i] :
( ( ( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY86: $i,SY87: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SY87 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(81,plain,
! [SV6: $i,SV25: $i,SV22: $i,SV19: $i,SV15: $i,SV11: $i] :
( ( ( ! [SY88: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV22 @ SV25 ) ) ) ) @ SY88 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SV22 @ SV25 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(82,plain,
! [SV24: $i,SV23: $i,SV20: $i,SV16: $i,SV12: $i,SV7: $i] :
( ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY86: $i,SY87: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SY87 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(83,plain,
! [SV6: $i,SV25: $i,SV22: $i,SV19: $i,SV15: $i,SV11: $i] :
( ( ( ! [SY88: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV22 @ SV25 ) ) ) ) @ SY88 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SV22 @ SV25 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(84,plain,
! [SV24: $i,SV7: $i,SV23: $i,SV20: $i,SV16: $i,SV12: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ! [SY86: $i,SY87: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SY87 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(85,plain,
! [SV6: $i,SV26: $i,SV25: $i,SV22: $i,SV19: $i,SV15: $i,SV11: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV22 @ SV25 ) ) ) ) @ SV26 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SV22 @ SV25 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(86,plain,
! [SV24: $i,SV7: $i,SV23: $i,SV20: $i,SV16: $i,SV12: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ! [SY86: $i,SY87: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SY87 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(87,plain,
! [SV6: $i,SV26: $i,SV25: $i,SV22: $i,SV19: $i,SV15: $i,SV11: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV11 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV11 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV22 @ SV25 ) ) ) ) @ SV26 ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV11 ) @ ( c_Message_Omsg_OMPair @ SV22 @ SV25 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(88,plain,
! [SV20: $i,SV16: $i,SV12: $i,SV7: $i,SV23: $i,SV24: $i] :
( ( ( ! [SY86: $i,SY87: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SY87 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(89,plain,
! [SV20: $i,SV16: $i,SV12: $i,SV7: $i,SV23: $i,SV27: $i,SV24: $i] :
( ( ( ! [SY89: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SY89 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(90,plain,
! [SV20: $i,SV16: $i,SV12: $i,SV7: $i,SV28: $i,SV23: $i,SV27: $i,SV24: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SV28 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(91,plain,
! [SV20: $i,SV16: $i,SV12: $i,SV7: $i,SV28: $i,SV23: $i,SV27: $i,SV24: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV23 ) @ SV28 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Message_Omsg_ONonce @ SV23 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_ONonce @ SV23 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(92,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,91,87,78,74,70,65,50,46,42,32,31]) ).
thf(93,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV352-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 11:40:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37
% 0.12/0.37 No.of.Axioms: 11
% 0.12/0.37
% 0.12/0.37 Length.of.Defs: 0
% 0.12/0.37
% 0.12/0.37 Contains.Choice.Funs: false
% 0.12/0.40 (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:13,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.19/0.56
% 0.19/0.56 ********************************
% 0.19/0.56 * All subproblems solved! *
% 0.19/0.56 ********************************
% 0.19/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:92,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.57
% 0.19/0.57 %**** Beginning of derivation protocol ****
% 0.19/0.57 % SZS output start CNFRefutation
% See solution above
% 0.19/0.57
% 0.19/0.57 %**** End of derivation protocol ****
% 0.19/0.57 %**** no. of clauses in derivation: 93 ****
% 0.19/0.57 %**** clause counter: 92 ****
% 0.19/0.57
% 0.19/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:92,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------