TSTP Solution File: SWV288-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV288-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 20:11:36 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 36
% Syntax : Number of formulae : 92 ( 47 unt; 26 typ; 0 def)
% Number of atoms : 314 ( 80 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 1848 ( 63 ~; 88 |; 0 &;1697 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 15 con; 0-5 aty)
% Number of variables : 159 ( 0 ^ 159 !; 0 ?; 159 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Obad,type,
c_Event_Obad: $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_Oparts,type,
c_Message_Oparts: $i > $i ).
thf(tp_c_OtwayRees_Ootway,type,
c_OtwayRees_Ootway: $i ).
thf(tp_c_Public_OshrK,type,
c_Public_OshrK: $i > $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_B,type,
v_B: $i ).
thf(tp_v_B_H,type,
v_B_H: $i ).
thf(tp_v_K,type,
v_K: $i ).
thf(tp_v_NA,type,
v_NA: $i ).
thf(tp_v_evs,type,
v_evs: $i ).
thf(tp_v_sko__u7f,type,
v_sko__u7f: $i > $i > $i > $i > $i > $i ).
thf(1,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_NA: $i,V_K: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( 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_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ V_A @ V_B @ V_K @ V_NA @ V_evs ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_ONA__Crypt__imp__Server__msg_0) ).
thf(2,axiom,
! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
thf(3,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
thf(4,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
thf(5,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(6,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,negated_conjecture,
! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(8,negated_conjecture,
c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(9,negated_conjecture,
~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(10,negated_conjecture,
c_in @ ( c_Event_Oevent_OSays @ v_B_H @ v_A @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(11,negated_conjecture,
c_in @ ( c_Event_Oevent_OSays @ v_A @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(12,plain,
$false = $false,
inference(unfold_def,[status(thm)],[6]) ).
thf(13,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_NA: $i,V_K: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( 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_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ V_A @ V_B @ V_K @ V_NA @ V_evs ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(15,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(17,plain,
( ( ! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(18,plain,
( ( c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(19,plain,
( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(20,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ v_B_H @ v_A @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(21,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ v_A @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(22,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_NA: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_K: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( 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_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ V_A @ V_B @ V_K @ V_NA @ V_evs ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(24,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ v_A @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(25,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ v_B_H @ v_A @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(26,plain,
( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(27,plain,
( ( c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(28,plain,
( ( ! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(29,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(30,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(31,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(32,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_NA: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_K: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( 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_B @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OKey @ V_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ V_A @ V_B @ V_K @ V_NA @ V_evs ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(33,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(34,plain,
( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(35,plain,
! [SV1: $i] :
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ SV1 @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV2: $i] :
( ( ! [SY15: $i,SY16: $i,SY17: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV2 @ SY15 @ SY16 ) @ ( c_List_Oset @ SY17 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY16 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY17 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV3: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SY18 ) @ ( c_Message_Oparts @ SY19 ) @ tc_Message_Omsg )
| ( c_in @ SY18 @ ( c_Message_Oparts @ SY19 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
! [SV4: $i] :
( ( ! [SY20: $i] :
( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SY20 ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Oparts @ SY20 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(39,plain,
! [SV5: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ~ ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY23: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SY21 @ SY22 @ ( c_Message_Omsg_OMPair @ SY23 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY22 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY21 ) @ ( c_Message_Omsg_OMPair @ SY23 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY21 ) @ ( c_Message_Omsg_OAgent @ SY22 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY24: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY21 ) @ ( c_Message_Omsg_OMPair @ SY23 @ ( c_Message_Omsg_OKey @ SY24 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SY21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY22 @ ( c_Message_Omsg_OMPair @ SY23 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY21 ) @ ( c_Message_Omsg_OMPair @ SY23 @ ( c_Message_Omsg_OKey @ SY24 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY22 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SY21 @ SY22 @ SY24 @ SY23 @ SV5 ) @ ( c_Message_Omsg_OKey @ SY24 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(40,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(41,plain,
! [SV1: $i] :
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ SV1 @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV6: $i,SV2: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV2 @ SV6 @ SY25 ) @ ( c_List_Oset @ SY26 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY25 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY26 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV7: $i,SV3: $i] :
( ( ! [SY27: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV7 ) @ ( c_Message_Oparts @ SY27 ) @ tc_Message_Omsg )
| ( c_in @ SV7 @ ( c_Message_Oparts @ SY27 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SV8 ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Oparts @ SV8 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV9: $i,SV5: $i] :
( ( ! [SY28: $i] :
( ~ ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY29: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SY28 @ ( c_Message_Omsg_OMPair @ SY29 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY29 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SY28 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY30: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY29 @ ( c_Message_Omsg_OKey @ SY30 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY28 @ ( c_Message_Omsg_OMPair @ SY29 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY29 @ ( c_Message_Omsg_OKey @ SY30 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY28 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SY28 @ SY30 @ SY29 @ SV5 ) @ ( c_Message_Omsg_OKey @ SY30 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV10: $i,SV6: $i,SV2: $i] :
( ( ! [SY31: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV2 @ SV6 @ SV10 ) @ ( c_List_Oset @ SY31 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV10 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY31 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV11: $i,SV7: $i,SV3: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV7 ) @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg )
| ( c_in @ SV7 @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SV8 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV4 @ ( c_Message_Oparts @ SV8 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV12: $i,SV9: $i,SV5: $i] :
( ( ~ ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY32: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY33: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OKey @ SY33 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OKey @ SY33 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SY33 @ SY32 @ SV5 ) @ ( c_Message_Omsg_OKey @ SY33 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV13: $i,SV10: $i,SV6: $i,SV2: $i] :
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV2 @ SV6 @ SV10 ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV10 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV11: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV7 ) @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV7 @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV8: $i,SV4: $i] :
( ( ( c_in @ SV4 @ ( c_Message_Oanalz @ SV8 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV4 @ ( c_Message_Oparts @ SV8 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV12: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY33: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OKey @ SY33 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OKey @ SY33 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SY33 @ SY32 @ SV5 ) @ ( c_Message_Omsg_OKey @ SY33 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV13: $i,SV10: $i,SV6: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV2 @ SV6 @ SV10 ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV10 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV11: $i,SV7: $i,SV3: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV7 ) @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ ( c_Message_Oparts @ SV11 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV12: $i,SV9: $i,SV5: $i] :
( ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY32: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY33: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OKey @ SY33 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SY32 @ ( c_Message_Omsg_OKey @ SY33 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SY33 @ SY32 @ SV5 ) @ ( c_Message_Omsg_OKey @ SY33 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV13: $i,SV10: $i,SV6: $i,SV2: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV2 @ SV6 @ SV10 ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV10 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV5: $i,SV14: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY34: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SY34 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SY34 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SY34 @ SV14 @ SV5 ) @ ( c_Message_Omsg_OKey @ SY34 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(59,plain,
! [SV5: $i,SV14: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ! [SY34: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SY34 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SY34 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SY34 @ SV14 @ SV5 ) @ ( c_Message_Omsg_OKey @ SY34 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(60,plain,
! [SV5: $i,SV14: $i,SV12: $i,SV9: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ! [SY34: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SY34 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SY34 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SY34 @ SV14 @ SV5 ) @ ( c_Message_Omsg_OKey @ SY34 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(61,plain,
! [SV12: $i,SV5: $i,SV15: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SV15 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SV15 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SV15 @ SV14 @ SV5 ) @ ( c_Message_Omsg_OKey @ SV15 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(62,plain,
! [SV12: $i,SV5: $i,SV15: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SV15 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SV15 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SV15 @ SV14 @ SV5 ) @ ( c_Message_Omsg_OKey @ SV15 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(63,plain,
! [SV12: $i,SV5: $i,SV15: $i,SV14: $i,SV9: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SV15 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SV15 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SV15 @ SV14 @ SV5 ) @ ( c_Message_Omsg_OKey @ SV15 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(64,plain,
! [SV5: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i] :
( ( ( c_in @ SV9 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SV15 ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV12 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u7f @ SV9 @ SV12 @ SV15 @ SV14 @ SV5 ) @ ( c_Message_Omsg_OKey @ SV15 ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OKey @ SV15 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV5 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV9 @ SV12 @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV12 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV9 ) @ ( c_Message_Omsg_OMPair @ SV14 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OAgent @ SV12 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(65,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,64,57,55,52,41,40,34,27,25]) ).
thf(66,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV288-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 17:09:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.38
% 0.21/0.38 No.of.Axioms: 9
% 0.21/0.38
% 0.21/0.38 Length.of.Defs: 0
% 0.21/0.38
% 0.21/0.38 Contains.Choice.Funs: false
% 0.21/0.40 (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:11,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.21/0.54
% 0.21/0.54 ********************************
% 0.21/0.54 * All subproblems solved! *
% 0.21/0.54 ********************************
% 0.21/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:65,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.54
% 0.21/0.54 %**** Beginning of derivation protocol ****
% 0.21/0.54 % SZS output start CNFRefutation
% See solution above
% 0.21/0.54
% 0.21/0.54 %**** End of derivation protocol ****
% 0.21/0.54 %**** no. of clauses in derivation: 66 ****
% 0.21/0.54 %**** clause counter: 65 ****
% 0.21/0.54
% 0.21/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:65,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------