%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV332-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:57:20 AM UTC 2026
% Result : Unsatisfiable 0.65s 0.30s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 146 ( 95 unt; 0 typ; 0 def)
% Number of atoms : 827 ( 269 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 4597 ( 231 ~; 287 |; 0 &;4079 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 18 con; 0-4 aty)
% Number of variables : 768 ( 0 ^; 768 !; 0 ?; 768 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Obad,type,
c_Event_Obad: $i ).
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_Oagent,type,
tc_Message_Oagent: $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_X,type,
v_X: $i ).
thf(tp_v_evs4,type,
v_evs4: $i ).
thf(tp_v_sko__2ji,type,
v_sko__2ji: $i > $i > $i > $i > $i ).
thf(tp_v_sko__2jj,type,
v_sko__2jj: $i > $i > $i > $i > $i ).
thf(1,axiom,
! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $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_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_B = V_B_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_1) ).
thf(2,axiom,
! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $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_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = V_A_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_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_evs: $i,V_B: $i,V_A: $i,V_K: $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_OKey @ V_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ V_A @ V_B @ V_K @ V_evs ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ V_A @ V_B @ V_K @ V_evs ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OB__trusts__YM4__shrK_0) ).
thf(5,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i,V_na: $i,V_nb: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).
thf(6,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( 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_Public_OCrypt__Spy__analz__bad_0) ).
thf(7,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
thf(8,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
thf(9,axiom,
! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ ( c_Message_Oanalz @ 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_Oanalz__conj__parts_0) ).
thf(10,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(11,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[10]) ).
thf(12,negated_conjecture,
~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
thf(13,negated_conjecture,
c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
thf(14,negated_conjecture,
~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(15,negated_conjecture,
c_in @ ( c_Event_Oevent_OGets @ 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_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(16,negated_conjecture,
! [V_U: $i] :
( ( V_U != v_X )
| ( v_B != v_Ba )
| ( v_A != v_Aa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).
thf(17,negated_conjecture,
c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(18,plain,
$false = $false,
inference(unfold_def,[status(thm)],[11]) ).
thf(19,plain,
( ( ! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $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_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_B = V_B_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(20,plain,
( ( ! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $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_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = V_A_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(21,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(22,plain,
( ( ! [V_evs: $i,V_B: $i,V_A: $i,V_K: $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_OKey @ V_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ V_A @ V_B @ V_K @ V_evs ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ V_A @ V_B @ V_K @ V_evs ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(23,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i,V_na: $i,V_nb: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(24,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( 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)],[6]) ).
thf(25,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(26,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(27,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(28,plain,
( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(29,plain,
( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(30,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(31,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ 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_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(32,plain,
( ( ! [V_U: $i] :
( ( V_U != v_X )
| ( v_B != v_Ba )
| ( v_A != v_Aa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(33,plain,
( ( c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(34,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(35,plain,
( ( c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(36,plain,
( ( ! [V_U: $i] :
( ( V_U != v_X )
| ( v_B != v_Ba )
| ( v_A != v_Aa ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(37,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ 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_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(39,plain,
( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(40,plain,
( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(41,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(42,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(43,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(44,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(45,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i,V_na: $i,V_nb: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(46,plain,
( ( ! [V_evs: $i,V_B: $i,V_A: $i,V_K: $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_OKey @ V_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ V_A @ V_B @ V_K @ V_evs ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ V_A @ V_B @ V_K @ V_evs ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(47,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(copy,[status(thm)],[21]) ).
thf(48,plain,
( ( ! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $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_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = V_A_H ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(49,plain,
( ( ! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $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_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ 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 @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_B = V_B_H ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(50,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[34]) ).
thf(51,plain,
( ( ! [SX0: $i] :
( ( SX0 != v_X )
| ( v_B != v_Ba )
| ( v_A != v_Aa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(52,plain,
( ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(53,plain,
( ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(54,plain,
! [SV1: $i] :
( ( ! [SY49: $i] :
( ~ ( c_in @ SV1 @ ( c_Message_Oanalz @ SY49 ) @ tc_Message_Omsg )
| ( c_in @ SV1 @ ( c_Message_Oparts @ SY49 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(55,plain,
! [SV2: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SY50 ) @ ( c_Message_Oanalz @ SY51 ) @ tc_Message_Omsg )
| ( c_in @ SY50 @ ( c_Message_Oanalz @ SY51 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(56,plain,
! [SV3: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SY52 ) @ ( c_Message_Oanalz @ SY53 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oanalz @ SY53 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(57,plain,
! [SV4: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ~ ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ SY54 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY55 ) ) @ tc_Message_Omsg )
| ( c_in @ SY54 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY55 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(58,plain,
! [SV5: $i] :
( ( ! [SY56: $i,SY57: $i,SY58: $i,SY59: $i,SY60: $i] :
( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY56 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY57 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY58 ) @ ( c_Message_Omsg_OMPair @ SY59 @ SY60 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SY56 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY56 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY56 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY57 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY58 ) @ ( c_Message_Omsg_OMPair @ SY59 @ SY60 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY57 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY56 ) @ ( c_Message_Omsg_OKey @ SY58 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(59,plain,
! [SV6: $i] :
( ( ! [SY61: $i,SY62: $i,SY63: $i] :
( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY62 ) @ ( c_Message_Omsg_OKey @ SY63 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SY61 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY62 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY63 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SY62 @ SY61 @ SY63 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SY62 @ SY61 @ SY63 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY62 ) @ ( c_Message_Omsg_OKey @ SY63 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(60,plain,
! [SV7: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SY64 @ SY65 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY65 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(61,plain,
! [SV8: $i] :
( ( ! [SY66: $i,SY67: $i,SY68: $i,SY69: $i,SY70: $i,SY71: $i,SY72: $i,SY73: $i,SY74: $i,SY75: $i,SY76: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY66 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY66 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY67 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY68 ) @ ( c_Message_Omsg_OMPair @ SY69 @ SY70 ) ) ) ) @ SY71 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY72 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY72 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY73 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY68 ) @ ( c_Message_Omsg_OMPair @ SY74 @ SY75 ) ) ) ) @ SY76 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY72 = SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(62,plain,
! [SV9: $i] :
( ( ! [SY77: $i,SY78: $i,SY79: $i,SY80: $i,SY81: $i,SY82: $i,SY83: $i,SY84: $i,SY85: $i,SY86: $i,SY87: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY77 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY77 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY78 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY79 ) @ ( c_Message_Omsg_OMPair @ SY80 @ SY81 ) ) ) ) @ SY82 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY83 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY83 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY84 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY79 ) @ ( c_Message_Omsg_OMPair @ SY85 @ SY86 ) ) ) ) @ SY87 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY84 = SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(63,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(64,plain,
! [SV10: $i] :
( ( ( SV10 != v_X )
| ( v_B != v_Ba )
| ( v_A != v_Aa ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(65,plain,
! [SV11: $i,SV1: $i] :
( ( ~ ( c_in @ SV1 @ ( c_Message_Oanalz @ SV11 ) @ tc_Message_Omsg )
| ( c_in @ SV1 @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(66,plain,
! [SV12: $i,SV2: $i] :
( ( ! [SY88: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV12 ) @ ( c_Message_Oanalz @ SY88 ) @ tc_Message_Omsg )
| ( c_in @ SV12 @ ( c_Message_Oanalz @ SY88 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(67,plain,
! [SV13: $i,SV3: $i] :
( ( ! [SY89: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV13 ) @ ( c_Message_Oanalz @ SY89 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oanalz @ SY89 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(68,plain,
! [SV14: $i,SV4: $i] :
( ( ! [SY90: $i] :
( ~ ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ SV14 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY90 ) ) @ tc_Message_Omsg )
| ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY90 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(69,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY91: $i,SY92: $i,SY93: $i,SY94: $i] :
( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY91 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY92 ) @ ( c_Message_Omsg_OMPair @ SY93 @ SY94 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY91 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY92 ) @ ( c_Message_Omsg_OMPair @ SY93 @ SY94 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY91 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SY92 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(70,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY95: $i,SY96: $i] :
( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY95 ) @ ( c_Message_Omsg_OKey @ SY96 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV16 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY95 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY95 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY96 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SY95 @ SV16 @ SY96 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SY95 @ SV16 @ SY96 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY95 ) @ ( c_Message_Omsg_OKey @ SY96 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(71,plain,
! [SV17: $i,SV7: $i] :
( ( ! [SY97: $i] :
( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV17 @ SY97 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY97 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(72,plain,
! [SV18: $i,SV8: $i] :
( ( ! [SY98: $i,SY99: $i,SY100: $i,SY101: $i,SY102: $i,SY103: $i,SY104: $i,SY105: $i,SY106: $i,SY107: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY98 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY99 ) @ ( c_Message_Omsg_OMPair @ SY100 @ SY101 ) ) ) ) @ SY102 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY103 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY103 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY104 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY99 ) @ ( c_Message_Omsg_OMPair @ SY105 @ SY106 ) ) ) ) @ SY107 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY103 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(73,plain,
! [SV19: $i,SV9: $i] :
( ( ! [SY108: $i,SY109: $i,SY110: $i,SY111: $i,SY112: $i,SY113: $i,SY114: $i,SY115: $i,SY116: $i,SY117: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY108 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY109 ) @ ( c_Message_Omsg_OMPair @ SY110 @ SY111 ) ) ) ) @ SY112 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY113 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY113 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY114 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY109 ) @ ( c_Message_Omsg_OMPair @ SY115 @ SY116 ) ) ) ) @ SY117 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY114 = SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(74,plain,
! [SV10: $i] :
( ( ( SV10 != v_X )
= $true )
| ( ( ( v_B != v_Ba )
| ( v_A != v_Aa ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ( c_in @ SV1 @ ( c_Message_Oanalz @ SV11 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV1 @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(76,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV12 ) @ ( c_Message_Oanalz @ SV20 ) @ tc_Message_Omsg )
| ( c_in @ SV12 @ ( c_Message_Oanalz @ SV20 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV21: $i,SV13: $i,SV3: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV13 ) @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV22: $i,SV14: $i,SV4: $i] :
( ( ~ ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ SV14 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg )
| ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV23: $i,SV15: $i,SV5: $i] :
( ( ! [SY118: $i,SY119: $i,SY120: $i] :
( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY118 ) @ ( c_Message_Omsg_OMPair @ SY119 @ SY120 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY118 ) @ ( c_Message_Omsg_OMPair @ SY119 @ SY120 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SY118 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV24: $i,SV16: $i,SV6: $i] :
( ( ! [SY121: $i] :
( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SY121 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV16 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY121 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SV24 @ SV16 @ SY121 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SV24 @ SV16 @ SY121 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SY121 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV25: $i,SV17: $i,SV7: $i] :
( ( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV17 @ SV25 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV25 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY122: $i,SY123: $i,SY124: $i,SY125: $i,SY126: $i,SY127: $i,SY128: $i,SY129: $i,SY130: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY122 ) @ ( c_Message_Omsg_OMPair @ SY123 @ SY124 ) ) ) ) @ SY125 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY126 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY126 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY127 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY122 ) @ ( c_Message_Omsg_OMPair @ SY128 @ SY129 ) ) ) ) @ SY130 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY126 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY131: $i,SY132: $i,SY133: $i,SY134: $i,SY135: $i,SY136: $i,SY137: $i,SY138: $i,SY139: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY131 ) @ ( c_Message_Omsg_OMPair @ SY132 @ SY133 ) ) ) ) @ SY134 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY135 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY135 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY136 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY131 ) @ ( c_Message_Omsg_OMPair @ SY137 @ SY138 ) ) ) ) @ SY139 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY136 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV10: $i] :
( ( ( SV10 = v_X )
= $false )
| ( ( ( v_B != v_Ba )
| ( v_A != v_Aa ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV11: $i,SV1: $i] :
( ( ( c_in @ SV1 @ ( c_Message_Oanalz @ SV11 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV1 @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV12 ) @ ( c_Message_Oanalz @ SV20 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV12 @ ( c_Message_Oanalz @ SV20 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(87,plain,
! [SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV13 ) @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV3 @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV22: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ SV14 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg )
| ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV28: $i,SV23: $i,SV15: $i,SV5: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SY140 @ SY141 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SY140 @ SY141 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SV28 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV29: $i,SV24: $i,SV16: $i,SV6: $i] :
( ( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV16 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV29 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SV24 @ SV16 @ SV29 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SV24 @ SV16 @ SV29 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV25: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV17 @ SV25 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV25 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(92,plain,
! [SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY142: $i,SY143: $i,SY144: $i,SY145: $i,SY146: $i,SY147: $i,SY148: $i,SY149: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SY142 @ SY143 ) ) ) ) @ SY144 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY145 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY145 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY146 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SY147 @ SY148 ) ) ) ) @ SY149 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY145 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY150: $i,SY151: $i,SY152: $i,SY153: $i,SY154: $i,SY155: $i,SY156: $i,SY157: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SY150 @ SY151 ) ) ) ) @ SY152 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY153 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY153 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY154 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SY155 @ SY156 ) ) ) ) @ SY157 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY154 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV10: $i] :
( ( ( v_B != v_Ba )
= $true )
| ( ( v_A != v_Aa )
= $true )
| ( ( SV10 = v_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(95,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV12 ) @ ( c_Message_Oanalz @ SV20 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV12 @ ( c_Message_Oanalz @ SV20 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(96,plain,
! [SV21: $i,SV13: $i,SV3: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV13 ) @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV3 @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(97,plain,
! [SV22: $i,SV14: $i,SV4: $i] :
( ( ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ SV14 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg )
| ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(98,plain,
! [SV32: $i,SV28: $i,SV23: $i,SV15: $i,SV5: $i] :
( ( ! [SY158: $i] :
( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SY158 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SY158 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SV28 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(99,plain,
! [SV29: $i,SV24: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV16 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV29 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SV24 @ SV16 @ SV29 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SV24 @ SV16 @ SV29 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(100,plain,
! [SV25: $i,SV17: $i,SV7: $i] :
( ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV17 @ SV25 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV25 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY159: $i,SY160: $i,SY161: $i,SY162: $i,SY163: $i,SY164: $i,SY165: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SY159 ) ) ) ) @ SY160 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY161 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY161 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY162 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SY163 @ SY164 ) ) ) ) @ SY165 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY161 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY166: $i,SY167: $i,SY168: $i,SY169: $i,SY170: $i,SY171: $i,SY172: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SY166 ) ) ) ) @ SY167 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY168 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY168 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY169 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SY170 @ SY171 ) ) ) ) @ SY172 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY169 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV10: $i] :
( ( ( v_B = v_Ba )
= $false )
| ( ( v_A != v_Aa )
= $true )
| ( ( SV10 = v_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(104,plain,
! [SV22: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ SV14 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(105,plain,
! [SV35: $i,SV32: $i,SV28: $i,SV23: $i,SV15: $i,SV5: $i] :
( ( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SV28 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(106,plain,
! [SV29: $i,SV24: $i,SV16: $i,SV6: $i] :
( ( ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV16 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV29 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SV24 @ SV16 @ SV29 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SV24 @ SV16 @ SV29 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(107,plain,
! [SV7: $i,SV25: $i,SV17: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV17 @ SV25 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV25 @ ( 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)],[100]) ).
thf(108,plain,
! [SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY173: $i,SY174: $i,SY175: $i,SY176: $i,SY177: $i,SY178: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SY173 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY174 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY174 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY175 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SY176 @ SY177 ) ) ) ) @ SY178 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY174 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(109,plain,
! [SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i,SY183: $i,SY184: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SY179 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY180 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY181 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SY182 @ SY183 ) ) ) ) @ SY184 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY181 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(110,plain,
! [SV10: $i] :
( ( ( v_A = v_Aa )
= $false )
| ( ( v_B = v_Ba )
= $false )
| ( ( SV10 = v_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV22: $i,SV14: $i,SV4: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV4 ) @ SV14 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV4 @ c_Event_Obad @ tc_Message_Oagent )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV35: $i,SV32: $i,SV28: $i,SV23: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SV28 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(113,plain,
! [SV6: $i,SV29: $i,SV24: $i,SV16: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_in @ SV16 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV29 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SV24 @ SV16 @ SV29 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SV24 @ SV16 @ SV29 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) ) ) @ ( 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)],[106]) ).
thf(114,plain,
! [SV7: $i,SV25: $i,SV17: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV17 @ SV25 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV25 @ ( 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)],[107]) ).
thf(115,plain,
! [SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY185: $i,SY186: $i,SY187: $i,SY188: $i,SY189: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY185 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY185 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY186 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SY187 @ SY188 ) ) ) ) @ SY189 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY185 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(116,plain,
! [SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY190: $i,SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY190 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY190 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY191 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SY192 @ SY193 ) ) ) ) @ SY194 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY191 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(117,plain,
! [SV35: $i,SV32: $i,SV28: $i,SV23: $i,SV15: $i,SV5: $i] :
( ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SV28 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(118,plain,
! [SV6: $i,SV29: $i,SV24: $i,SV16: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_in @ SV16 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV29 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SV24 @ SV16 @ SV29 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SV24 @ SV16 @ SV29 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) ) ) @ ( 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)],[113]) ).
thf(119,plain,
! [SV40: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY195: $i,SY196: $i,SY197: $i,SY198: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY195 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SY196 @ SY197 ) ) ) ) @ SY198 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV41: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY199: $i,SY200: $i,SY201: $i,SY202: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY199 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SY200 @ SY201 ) ) ) ) @ SY202 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY199 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(121,plain,
! [SV5: $i,SV35: $i,SV32: $i,SV28: $i,SV23: $i,SV15: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SV28 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(122,plain,
! [SV6: $i,SV29: $i,SV24: $i,SV16: $i] :
( ( ( c_in @ SV16 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV29 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ ( v_sko__2ji @ SV24 @ SV16 @ SV29 @ SV6 ) ) @ ( c_Message_Omsg_ONonce @ ( v_sko__2jj @ SV24 @ SV16 @ SV29 @ SV6 ) ) ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) ) ) @ ( c_List_Oset @ SV6 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV16 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV29 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV6 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(123,plain,
! [SV42: $i,SV40: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY203: $i,SY204: $i,SY205: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SY203 @ SY204 ) ) ) ) @ SY205 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(124,plain,
! [SV43: $i,SV41: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY206: $i,SY207: $i,SY208: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SY206 @ SY207 ) ) ) ) @ SY208 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV43 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(125,plain,
! [SV5: $i,SV35: $i,SV32: $i,SV28: $i,SV23: $i,SV15: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SV28 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(126,plain,
! [SV44: $i,SV42: $i,SV40: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY209: $i,SY210: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SY209 ) ) ) ) @ SY210 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV45: $i,SV43: $i,SV41: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY211: $i,SY212: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SY211 ) ) ) ) @ SY212 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV43 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(128,plain,
! [SV5: $i,SV35: $i,SV32: $i,SV28: $i,SV23: $i,SV15: $i] :
( ( ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV15 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV15 ) @ ( c_Message_Omsg_OKey @ SV28 ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV32 @ SV35 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV5 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(129,plain,
! [SV46: $i,SV44: $i,SV42: $i,SV40: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ! [SY213: $i] :
( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SV46 ) ) ) ) @ SY213 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(130,plain,
! [SV47: $i,SV45: $i,SV43: $i,SV41: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ! [SY214: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SV47 ) ) ) ) @ SY214 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV43 = SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV48: $i,SV46: $i,SV44: $i,SV42: $i,SV40: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SV46 ) ) ) ) @ SV48 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(132,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV43: $i,SV41: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SV47 ) ) ) ) @ SV49 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV43 = SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(133,plain,
! [SV48: $i,SV46: $i,SV44: $i,SV42: $i,SV40: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SV46 ) ) ) ) @ SV48 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(134,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV43: $i,SV41: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SV47 ) ) ) ) @ SV49 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV43 = SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(135,plain,
! [SV48: $i,SV46: $i,SV44: $i,SV42: $i,SV40: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i,SV8: $i] :
( ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SV46 ) ) ) ) @ SV48 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(136,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV43: $i,SV41: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i,SV9: $i] :
( ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SV47 ) ) ) ) @ SV49 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV43 = SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(137,plain,
! [SV48: $i,SV46: $i,SV44: $i,SV42: $i,SV40: $i,SV8: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SV46 ) ) ) ) @ SV48 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) )
= $true )
| ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(138,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV43: $i,SV41: $i,SV9: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SV47 ) ) ) ) @ SV49 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV43 = SV27 ) )
= $true )
| ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(139,plain,
! [SV48: $i,SV46: $i,SV44: $i,SV42: $i,SV40: $i,SV8: $i,SV38: $i,SV36: $i,SV33: $i,SV30: $i,SV26: $i,SV18: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SV46 ) ) ) ) @ SV48 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV40 = SV18 ) )
= $true )
| ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(140,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV43: $i,SV41: $i,SV9: $i,SV39: $i,SV37: $i,SV34: $i,SV31: $i,SV27: $i,SV19: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SV47 ) ) ) ) @ SV49 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV43 = SV27 ) )
= $true )
| ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(141,plain,
! [SV38: $i,SV36: $i,SV33: $i,SV26: $i,SV18: $i,SV8: $i,SV48: $i,SV46: $i,SV44: $i,SV30: $i,SV42: $i,SV40: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SV46 ) ) ) ) @ SV48 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( SV40 = SV18 )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(142,plain,
! [SV39: $i,SV37: $i,SV34: $i,SV19: $i,SV27: $i,SV9: $i,SV49: $i,SV47: $i,SV45: $i,SV31: $i,SV43: $i,SV41: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SV47 ) ) ) ) @ SV49 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( SV43 = SV27 )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(143,plain,
! [SV38: $i,SV36: $i,SV33: $i,SV26: $i,SV18: $i,SV8: $i,SV48: $i,SV46: $i,SV44: $i,SV30: $i,SV42: $i,SV40: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV40 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV42 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV44 @ SV46 ) ) ) ) @ SV48 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( SV40 = SV18 )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV26 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV30 ) @ ( c_Message_Omsg_OMPair @ SV33 @ SV36 ) ) ) ) @ SV38 ) ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(144,plain,
! [SV39: $i,SV37: $i,SV34: $i,SV19: $i,SV27: $i,SV9: $i,SV49: $i,SV47: $i,SV45: $i,SV31: $i,SV43: $i,SV41: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV41 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV45 @ SV47 ) ) ) ) @ SV49 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( SV43 = SV27 )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV27 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV31 ) @ ( c_Message_Omsg_OMPair @ SV34 @ SV37 ) ) ) ) @ SV39 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(145,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[35,144,143,128,122,114,111,110,96,95,85,63,53,52,39,37]) ).
thf(146,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV332-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n018.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 16:28:23 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.30
% 0.65/0.30 No.of.Axioms: 15
% 0.65/0.30
% 0.65/0.30 Length.of.Defs: 0
% 0.65/0.30
% 0.65/0.30 Contains.Choice.Funs: false
% 0.65/0.30 .......
% 0.65/0.30
% 0.65/0.30 ********************************
% 0.65/0.30 * All subproblems solved! *
% 0.65/0.30 ********************************
% 0.65/0.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:15,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:145,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.65/0.30
% 0.65/0.30 %**** Beginning of derivation protocol ****
% 0.65/0.30 % SZS output start CNFRefutation
% See solution above
% 0.65/0.30
% 0.65/0.30 %**** End of derivation protocol ****
% 0.65/0.30 %**** no. of clauses in derivation: 146 ****
% 0.65/0.30 %**** clause counter: 145 ****
% 0.65/0.30
% 0.65/0.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:15,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:145,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------