%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV323-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 : Tue Sep 29 01:08:50 PM UTC 2026
% Result : Unsatisfiable 7.97s 1.93s
% Output : Refutation 9.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 39
% Syntax : Number of formulae : 119 ( 48 unt; 22 def)
% Number of atoms : 218 ( 34 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 183 ( 84 ~; 94 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 30 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1395,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f1404,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f1472,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f1473,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f1474,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f1512,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f1518,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f1522,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f1523,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f1525,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f1527,axiom,
! [X2,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
fof(f1532,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f1557,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1561,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1562,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1564,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1565,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f1585,definition,
sF0 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1586,plain,
tc_List_Olist(tc_Event_Oevent) = sF0,
inference(reorient_equations,[],[f1585]) ).
fof(f1587,plain,
c_in(v_evs4,c_OtwayRees_Ootway,sF0),
inference(definition_folding,[],[f1557,f1586]) ).
fof(f1588,definition,
sF1 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1589,plain,
c_Message_Omsg_ONonce(v_NA) = sF1,
inference(reorient_equations,[],[f1588]) ).
fof(f1594,definition,
sF4 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1595,plain,
c_Public_OshrK(v_B) = sF4,
inference(reorient_equations,[],[f1594]) ).
fof(f1596,definition,
sF5 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1597,plain,
c_Message_Omsg_ONonce(v_NB) = sF5,
inference(reorient_equations,[],[f1596]) ).
fof(f1616,definition,
sF15 = c_List_Oset(v_evs4,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f1617,plain,
c_List_Oset(v_evs4,tc_Event_Oevent) = sF15,
inference(reorient_equations,[],[f1616]) ).
fof(f1619,definition,
sF16 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f1620,plain,
c_Message_Omsg_OKey(v_K) = sF16,
inference(reorient_equations,[],[f1619]) ).
fof(f1621,definition,
sF17 = c_Message_Omsg_OMPair(sF5,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f1622,plain,
c_Message_Omsg_OMPair(sF5,sF16) = sF17,
inference(reorient_equations,[],[f1621]) ).
fof(f1623,definition,
sF18 = c_Message_Omsg_OCrypt(sF4,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f1624,plain,
c_Message_Omsg_OCrypt(sF4,sF17) = sF18,
inference(reorient_equations,[],[f1623]) ).
fof(f1625,definition,
sF19 = c_Message_Omsg_OMPair(v_X,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f1626,plain,
c_Message_Omsg_OMPair(v_X,sF18) = sF19,
inference(reorient_equations,[],[f1625]) ).
fof(f1627,definition,
sF20 = c_Message_Omsg_OMPair(sF1,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f1628,plain,
c_Message_Omsg_OMPair(sF1,sF19) = sF20,
inference(reorient_equations,[],[f1627]) ).
fof(f1629,definition,
sF21 = c_Event_Oevent_OGets(v_B,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f1630,plain,
c_Event_Oevent_OGets(v_B,sF20) = sF21,
inference(reorient_equations,[],[f1629]) ).
fof(f1631,plain,
c_in(sF21,sF15,tc_Event_Oevent),
inference(definition_folding,[],[f1561,f1617,f1630,f1628,f1626,f1624,f1622,f1620,f1597,f1595,f1589]) ).
fof(f1632,definition,
sF22 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f1633,plain,
c_Public_OshrK(v_A) = sF22,
inference(reorient_equations,[],[f1632]) ).
fof(f1634,definition,
sF23 = c_Message_Omsg_OKey(sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f1635,plain,
c_Message_Omsg_OKey(sF22) = sF23,
inference(reorient_equations,[],[f1634]) ).
fof(f1636,definition,
sF24 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f1637,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4) = sF24,
inference(reorient_equations,[],[f1636]) ).
fof(f1638,definition,
sF25 = c_Message_Oparts(sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1639,plain,
c_Message_Oparts(sF24) = sF25,
inference(reorient_equations,[],[f1638]) ).
fof(f1640,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(sF23,sF25,tc_Message_Omsg) ),
inference(definition_folding,[],[f1562,f1639,f1637,f1635,f1633]) ).
fof(f1642,definition,
sF26 = c_insert(v_X,sF24,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1643,plain,
c_insert(v_X,sF24,tc_Message_Omsg) = sF26,
inference(reorient_equations,[],[f1642]) ).
fof(f1644,definition,
sF27 = c_Message_Oparts(sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f1645,plain,
c_Message_Oparts(sF26) = sF27,
inference(reorient_equations,[],[f1644]) ).
fof(f1646,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(sF23,sF27,tc_Message_Omsg) ),
inference(definition_folding,[],[f1564,f1645,f1643,f1637,f1635,f1633]) ).
fof(f1647,plain,
( c_in(sF23,sF27,tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(definition_folding,[],[f1565,f1645,f1643,f1637,f1635,f1633]) ).
fof(f1649,definition,
( spl28_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f1651,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1653,definition,
( spl28_2
<=> c_in(sF23,sF27,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f1654,plain,
( ~ c_in(sF23,sF27,tc_Message_Omsg)
| spl28_2 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1655,plain,
( c_in(sF23,sF27,tc_Message_Omsg)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1656,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f1647,f1653,f1649]) ).
fof(f1657,plain,
( ~ spl28_2
| ~ spl28_1 ),
inference(avatar_split_clause,[],[f1646,f1649,f1653]) ).
fof(f1659,definition,
( spl28_3
<=> c_in(sF23,sF25,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f1660,plain,
( ~ c_in(sF23,sF25,tc_Message_Omsg)
| spl28_3 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f1663,plain,
( ~ spl28_3
| spl28_1 ),
inference(avatar_split_clause,[],[f1640,f1649,f1659]) ).
fof(f1673,plain,
! [X0] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF24,tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[],[f1532,f1637]) ).
fof(f1686,plain,
! [X0] :
( ~ c_in(sF20,c_Message_Oanalz(X0),tc_Message_Omsg)
| c_in(sF19,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[],[f1473,f1628]) ).
fof(f1692,plain,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(resolution,[],[f1527,f1522]) ).
fof(f1695,plain,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,sF0)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1692,f1586]) ).
fof(f1698,plain,
! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF15,tc_Event_Oevent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,sF0)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(superposition,[],[f1695,f1617]) ).
fof(f1699,plain,
! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF15,tc_Event_Oevent)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[],[f1698,f1587]) ).
fof(f1700,plain,
! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF15,tc_Event_Oevent)
| c_in(X1,c_Message_Oanalz(sF24),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1699,f1637]) ).
fof(f1701,plain,
( ~ c_in(sF21,sF15,tc_Event_Oevent)
| c_in(sF20,c_Message_Oanalz(sF24),tc_Message_Omsg) ),
inference(superposition,[],[f1700,f1630]) ).
fof(f1702,plain,
c_in(sF20,c_Message_Oanalz(sF24),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f1701,f1631]) ).
fof(f1896,plain,
! [X0] :
( ~ c_in(sF19,c_Message_Oanalz(X0),tc_Message_Omsg)
| c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[],[f1474,f1626]) ).
fof(f1967,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(sF26),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF24)),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF24)),c_Message_Oparts(sF24),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[],[f1523,f1643]) ).
fof(f1968,plain,
! [X0] :
( ~ c_in(X0,sF27,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF24)),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF24)),c_Message_Oparts(sF24),tc_Message_Omsg),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1967,f1645]) ).
fof(f1969,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF24)),sF25,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF27,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF24)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1968,f1639]) ).
fof(f1971,definition,
( spl28_37
<=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF24)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl28_37])],[avatar_definition]) ).
fof(f1973,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF24)),tc_Message_Omsg)
| spl28_37 ),
inference(avatar_component_clause,[],[f1971]) ).
fof(f1975,definition,
( spl28_38
<=> ! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF24)),sF25,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF27,tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[spl28_38])],[avatar_definition]) ).
fof(f1976,plain,
( ! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF24)),sF25,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF27,tc_Message_Omsg) )
| ~ spl28_38 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f1977,plain,
( ~ spl28_37
| spl28_38 ),
inference(avatar_split_clause,[],[f1969,f1975,f1971]) ).
fof(f1984,plain,
! [X0] :
( ~ c_in(X0,sF24,tc_Message_Omsg)
| c_in(X0,sF26,tc_Message_Omsg) ),
inference(superposition,[],[f1404,f1643]) ).
fof(f1988,plain,
( ~ c_in(v_X,c_Message_Oanalz(sF24),tc_Message_Omsg)
| spl28_37 ),
inference(resolution,[],[f1973,f1518]) ).
fof(f1994,plain,
! [X0] :
( ~ c_in(X0,sF26,tc_Message_Omsg)
| c_in(X0,sF27,tc_Message_Omsg) ),
inference(superposition,[],[f1512,f1645]) ).
fof(f2000,plain,
( c_in(c_Message_Omsg_OKey(sF22),sF24,tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[],[f1673,f1633]) ).
fof(f2016,plain,
! [X0] :
( ~ c_in(sF23,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(sF23,X0,tc_Message_Omsg) ),
inference(superposition,[],[f1472,f1635]) ).
fof(f2087,plain,
c_in(sF19,c_Message_Oanalz(sF24),tc_Message_Omsg),
inference(resolution,[],[f1686,f1702]) ).
fof(f2147,plain,
c_in(v_X,c_Message_Oanalz(sF24),tc_Message_Omsg),
inference(resolution,[],[f1896,f2087]) ).
fof(f2149,plain,
( $false
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f2147,f1988]) ).
fof(f2150,plain,
spl28_37,
inference(avatar_contradiction_clause,[],[f2149]) ).
fof(f2151,plain,
( ! [X0] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(sF24)),tc_Message_Omsg)
| c_in(X0,sF25,tc_Message_Omsg)
| ~ c_in(X0,sF27,tc_Message_Omsg) )
| ~ spl28_38 ),
inference(resolution,[],[f1976,f1395]) ).
fof(f2160,plain,
( c_in(sF23,sF25,tc_Message_Omsg)
| ~ c_in(sF23,sF27,tc_Message_Omsg)
| c_in(sF23,c_Message_Oanalz(sF24),tc_Message_Omsg)
| ~ spl28_38 ),
inference(resolution,[],[f2151,f2016]) ).
fof(f2161,plain,
( ~ c_in(sF23,sF27,tc_Message_Omsg)
| c_in(sF23,c_Message_Oanalz(sF24),tc_Message_Omsg)
| spl28_3
| ~ spl28_38 ),
inference(forward_subsumption_resolution,[],[f2160,f1660]) ).
fof(f2162,plain,
( c_in(sF23,c_Message_Oanalz(sF24),tc_Message_Omsg)
| ~ spl28_2
| spl28_3
| ~ spl28_38 ),
inference(forward_subsumption_resolution,[],[f2161,f1655]) ).
fof(f2163,plain,
( c_in(sF23,c_Message_Oparts(sF24),tc_Message_Omsg)
| ~ spl28_2
| spl28_3
| ~ spl28_38 ),
inference(resolution,[],[f2162,f1525]) ).
fof(f2164,plain,
( c_in(sF23,sF25,tc_Message_Omsg)
| ~ spl28_2
| spl28_3
| ~ spl28_38 ),
inference(forward_demodulation,[],[f2163,f1639]) ).
fof(f2165,plain,
( $false
| ~ spl28_2
| spl28_3
| ~ spl28_38 ),
inference(forward_subsumption_resolution,[],[f2164,f1660]) ).
fof(f2166,plain,
( ~ spl28_2
| spl28_3
| ~ spl28_38 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2168,plain,
( c_in(c_Message_Omsg_OKey(sF22),sF24,tc_Message_Omsg)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f2000,f1651]) ).
fof(f2170,plain,
( c_in(sF23,sF24,tc_Message_Omsg)
| ~ spl28_1 ),
inference(forward_demodulation,[],[f2168,f1635]) ).
fof(f2172,plain,
( c_in(sF23,sF26,tc_Message_Omsg)
| ~ spl28_1 ),
inference(resolution,[],[f2170,f1984]) ).
fof(f2173,plain,
( c_in(sF23,sF27,tc_Message_Omsg)
| ~ spl28_1 ),
inference(resolution,[],[f2172,f1994]) ).
fof(f2175,plain,
( $false
| ~ spl28_1
| spl28_2 ),
inference(forward_subsumption_resolution,[],[f2173,f1654]) ).
fof(f2176,plain,
( ~ spl28_1
| spl28_2 ),
inference(avatar_contradiction_clause,[],[f2175]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s2,plain,
( ~ spl28_1
| ~ spl28_2 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s4,plain,
( spl28_1
| ~ spl28_3 ),
inference(sat_conversion,[],[f1663]) ).
cnf(s35,plain,
( ~ spl28_37
| spl28_38 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s37,plain,
spl28_37,
inference(sat_conversion,[],[f2150]) ).
cnf(s38,plain,
( ~ spl28_2
| spl28_3
| ~ spl28_38 ),
inference(sat_conversion,[],[f2166]) ).
cnf(s39,plain,
( ~ spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f2176]) ).
cnf(s40,plain,
spl28_38,
inference(rat,[],[s35,s37]) ).
cnf(s53,plain,
spl28_1,
inference(rat,[],[s38,s1,s4,s40]) ).
cnf(s54,plain,
spl28_2,
inference(rat,[],[s39,s53]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s2,s54,s53]) ).
fof(f2177,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV323-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:34:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.97/1.93 % (3876336)Input is clausal, will run a generic CNF schedule.
% 7.97/1.93 % (3876342)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3821629370:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.97/1.93 % (3876347)dis-21_1_sil=8000:lcm=predicate:random_seed=803949994:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.97/1.93 % (3876343)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3735910842:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.97/1.93 % (3876345)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=405363192:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.97/1.93 % (3876344)lrs+10_1_sil=8000:sp=occurrence:random_seed=490421326:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.97/1.93 % (3876341)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2455194649:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.97/1.93 % (3876346)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=132279364:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.97/1.93 % (3876344)Instruction limit reached!
% 7.97/1.93 % (3876344)------------------------------
% 7.97/1.93 % (3876344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876344)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876344)Termination reason: Instruction limit
% 7.97/1.93 % (3876344)Termination phase: Saturation
% 7.97/1.93 % (3876344)Time elapsed: 0.058 s
% 7.97/1.93 % (3876344)Peak memory usage: 89 MB
% 7.97/1.93 % (3876344)Instructions burned: 108 (million)
% 7.97/1.93 % (3876347)Instruction limit reached!
% 7.97/1.93 % (3876347)------------------------------
% 7.97/1.93 % (3876347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876347)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876347)Termination reason: Instruction limit
% 7.97/1.93 % (3876347)Termination phase: Saturation
% 7.97/1.93 % (3876347)Time elapsed: 0.069 s
% 7.97/1.93 % (3876347)Peak memory usage: 89 MB
% 7.97/1.93 % (3876347)Instructions burned: 118 (million)
% 7.97/1.93 % (3876345)Instruction limit reached!
% 7.97/1.93 % (3876345)------------------------------
% 7.97/1.93 % (3876345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876345)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876345)Termination reason: Instruction limit
% 7.97/1.93 % (3876345)Termination phase: Saturation
% 7.97/1.93 % (3876345)Time elapsed: 0.073 s
% 7.97/1.93 % (3876345)Peak memory usage: 89 MB
% 7.97/1.93 % (3876345)Instructions burned: 116 (million)
% 7.97/1.93 % (3876346)Instruction limit reached!
% 7.97/1.93 % (3876346)------------------------------
% 7.97/1.93 % (3876346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876346)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876346)Termination reason: Instruction limit
% 7.97/1.93 % (3876346)Termination phase: Saturation
% 7.97/1.93 % (3876346)Time elapsed: 0.122 s
% 7.97/1.93 % (3876346)Peak memory usage: 90 MB
% 7.97/1.93 % (3876346)Instructions burned: 180 (million)
% 7.97/1.93 % (3876357)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=556283892:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.97/1.93 % (3876355)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1130803749:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.97/1.93 % (3876356)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=247897576:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.97/1.93 % (3876355)Refutation not found, incomplete strategy
% 7.97/1.93 % (3876355)------------------------------
% 7.97/1.93 % (3876355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876355)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876355)Termination reason: Refutation not found, incomplete strategy
% 7.97/1.93 % (3876355)Time elapsed: 0.011 s
% 7.97/1.93 % (3876355)Peak memory usage: 89 MB
% 7.97/1.93 % (3876355)Instructions burned: 17 (million)
% 7.97/1.93 % (3876357)Refutation not found, incomplete strategy
% 7.97/1.93 % (3876357)------------------------------
% 7.97/1.93 % (3876357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876357)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876357)Termination reason: Refutation not found, incomplete strategy
% 7.97/1.93 % (3876357)Time elapsed: 0.012 s
% 7.97/1.93 % (3876357)Peak memory usage: 89 MB
% 7.97/1.93 % (3876357)Instructions burned: 18 (million)
% 7.97/1.93 % (3876358)lrs+10_64_to=lpo:sil=8000:random_seed=2655443949:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.97/1.93 % (3876356)Instruction limit reached!
% 7.97/1.93 % (3876356)------------------------------
% 7.97/1.93 % (3876356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876356)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876356)Termination reason: Instruction limit
% 7.97/1.93 % (3876356)Termination phase: Saturation
% 7.97/1.93 % (3876356)Time elapsed: 0.105 s
% 7.97/1.93 % (3876356)Peak memory usage: 91 MB
% 7.97/1.93 % (3876356)Instructions burned: 189 (million)
% 7.97/1.93 % (3876358)Instruction limit reached!
% 7.97/1.93 % (3876358)------------------------------
% 7.97/1.93 % (3876358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876358)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876358)Termination reason: Instruction limit
% 7.97/1.93 % (3876358)Termination phase: Saturation
% 7.97/1.93 % (3876358)Time elapsed: 0.074 s
% 7.97/1.93 % (3876358)Peak memory usage: 90 MB
% 7.97/1.93 % (3876358)Instructions burned: 128 (million)
% 7.97/1.93 % (3876357)------------------------------
% 7.97/1.93 % (3876357)------------------------------
% 7.97/1.93 % (3876355)------------------------------
% 7.97/1.93 % (3876355)------------------------------
% 7.97/1.93 % (3876363)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3540234023:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 7.97/1.93 % (3876364)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1090072949:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.97/1.93 % (3876363)Instruction limit reached!
% 7.97/1.93 % (3876363)------------------------------
% 7.97/1.93 % (3876363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876363)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876363)Termination reason: Instruction limit
% 7.97/1.93 % (3876363)Termination phase: Saturation
% 7.97/1.93 % (3876363)Time elapsed: 0.088 s
% 7.97/1.93 % (3876363)Peak memory usage: 90 MB
% 7.97/1.93 % (3876363)Instructions burned: 196 (million)
% 7.97/1.93 % (3876364)Instruction limit reached!
% 7.97/1.93 % (3876364)------------------------------
% 7.97/1.93 % (3876364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876364)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876364)Termination reason: Instruction limit
% 7.97/1.93 % (3876364)Termination phase: Saturation
% 7.97/1.93 % (3876364)Time elapsed: 0.094 s
% 7.97/1.93 % (3876364)Peak memory usage: 91 MB
% 7.97/1.93 % (3876364)Instructions burned: 158 (million)
% 7.97/1.93 % (3876366)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=531627065:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.97/1.93 % (3876365)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3565543309:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.97/1.93 % (3876366)Instruction limit reached!
% 7.97/1.93 % (3876366)------------------------------
% 7.97/1.93 % (3876366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876366)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876366)Termination reason: Instruction limit
% 7.97/1.93 % (3876366)Termination phase: Saturation
% 7.97/1.93 % (3876366)Time elapsed: 0.056 s
% 7.97/1.93 % (3876366)Peak memory usage: 90 MB
% 7.97/1.93 % (3876366)Instructions burned: 107 (million)
% 7.97/1.93 % (3876369)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2004318559:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.97/1.93 % (3876369)Refutation not found, incomplete strategy
% 7.97/1.93 % (3876369)------------------------------
% 7.97/1.93 % (3876369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876369)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876369)Termination reason: Refutation not found, incomplete strategy
% 7.97/1.93 % (3876369)Time elapsed: 0.014 s
% 7.97/1.93 % (3876369)Peak memory usage: 89 MB
% 7.97/1.93 % (3876369)Instructions burned: 23 (million)
% 7.97/1.93 % (3876372)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3146773217:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 7.97/1.93 % (3876341)First to succeed.
% 7.97/1.93 % (3876341)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3876336"
% 7.97/1.93 % (3876373)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1666115819:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.97/1.93 % (3876343)Also succeeded, but the first one will report.
% 7.97/1.93 % (3876372)Instruction limit reached!
% 7.97/1.93 % (3876372)------------------------------
% 7.97/1.93 % (3876372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.93 % (3876372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.93 % (3876372)CaDiCaL version: 2.1.3
% 7.97/1.93 % (3876372)Termination reason: Instruction limit
% 7.97/1.93 % (3876372)Termination phase: Saturation
% 7.97/1.93 % (3876372)Time elapsed: 0.131 s
% 7.97/1.93 % (3876372)Peak memory usage: 90 MB
% 7.97/1.93 % (3876372)Instructions burned: 243 (million)
% 7.97/1.93 % (3876369)------------------------------
% 7.97/1.93 % (3876369)------------------------------
% 7.97/1.93 % (3876341)Refutation found. Thanks to Tanya!
% 7.97/1.93 % SZS status Unsatisfiable for theBenchmark
% 7.97/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 9.33/2.12 % (3876341)------------------------------
% 9.33/2.12 % (3876341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.12 % (3876341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.12 % (3876341)CaDiCaL version: 2.1.3
% 9.33/2.12 % (3876341)Termination reason: Refutation
% 9.33/2.12 % (3876341)Time elapsed: 0.804 s
% 9.33/2.12 % (3876341)Peak memory usage: 138 MB
% 9.33/2.12 % (3876341)Instructions burned: 1233 (million)
% 9.33/2.12 % (3876341)------------------------------
% 9.33/2.12 % (3876341)------------------------------
% 9.33/2.12 % (3876336)Success in time 1.266 s
% 9.33/2.12 % Vampire exiting
%------------------------------------------------------------------------------