%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV327-1 : 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 : n010.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 01:08:51 PM UTC 2026
% Result : Unsatisfiable 7.86s 1.94s
% Output : Refutation 9.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 50
% Syntax : Number of formulae : 156 ( 77 unt; 33 def)
% Number of atoms : 288 ( 56 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 237 ( 105 ~; 124 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-3 aty)
% Number of functors : 58 ( 58 usr; 41 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 55 !; 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(f1447,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__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(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(f1557,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f1558,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1559,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1563,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),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_4) ).
fof(f1564,negated_conjecture,
c_in(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_C)))),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_5) ).
fof(f1565,negated_conjecture,
c_in(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_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(f1566,negated_conjecture,
v_B != v_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f1567,plain,
v_C != v_B,
inference(reorient_equations,[],[f1566]) ).
fof(f1568,negated_conjecture,
( v_B = v_C
| ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f1569,plain,
( v_C = v_B
| ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(reorient_equations,[],[f1568]) ).
fof(f1589,definition,
sF0 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1590,plain,
tc_List_Olist(tc_Event_Oevent) = sF0,
inference(reorient_equations,[],[f1589]) ).
fof(f1591,plain,
c_in(v_evs4,c_OtwayRees_Ootway,sF0),
inference(definition_folding,[],[f1559,f1590]) ).
fof(f1592,definition,
sF1 = c_Message_Omsg_ONonce(v_NAa),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1593,plain,
c_Message_Omsg_ONonce(v_NAa) = sF1,
inference(reorient_equations,[],[f1592]) ).
fof(f1598,definition,
sF4 = c_Public_OshrK(v_Ba),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1599,plain,
c_Public_OshrK(v_Ba) = sF4,
inference(reorient_equations,[],[f1598]) ).
fof(f1600,definition,
sF5 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1601,plain,
c_Message_Omsg_ONonce(v_NB) = sF5,
inference(reorient_equations,[],[f1600]) ).
fof(f1620,definition,
sF15 = c_List_Oset(v_evs4,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f1621,plain,
c_List_Oset(v_evs4,tc_Event_Oevent) = sF15,
inference(reorient_equations,[],[f1620]) ).
fof(f1623,definition,
sF16 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f1624,plain,
c_Message_Omsg_OKey(v_K) = sF16,
inference(reorient_equations,[],[f1623]) ).
fof(f1625,definition,
sF17 = c_Message_Omsg_OMPair(sF5,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f1626,plain,
c_Message_Omsg_OMPair(sF5,sF16) = sF17,
inference(reorient_equations,[],[f1625]) ).
fof(f1627,definition,
sF18 = c_Message_Omsg_OCrypt(sF4,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f1628,plain,
c_Message_Omsg_OCrypt(sF4,sF17) = sF18,
inference(reorient_equations,[],[f1627]) ).
fof(f1629,definition,
sF19 = c_Message_Omsg_OMPair(v_X,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f1630,plain,
c_Message_Omsg_OMPair(v_X,sF18) = sF19,
inference(reorient_equations,[],[f1629]) ).
fof(f1631,definition,
sF20 = c_Message_Omsg_OMPair(sF1,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f1632,plain,
c_Message_Omsg_OMPair(sF1,sF19) = sF20,
inference(reorient_equations,[],[f1631]) ).
fof(f1633,definition,
sF21 = c_Event_Oevent_OGets(v_Ba,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f1634,plain,
c_Event_Oevent_OGets(v_Ba,sF20) = sF21,
inference(reorient_equations,[],[f1633]) ).
fof(f1635,plain,
c_in(sF21,sF15,tc_Event_Oevent),
inference(definition_folding,[],[f1563,f1621,f1634,f1632,f1630,f1628,f1626,f1624,f1601,f1599,f1593]) ).
fof(f1636,definition,
sF22 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f1637,plain,
c_Public_OshrK(v_A) = sF22,
inference(reorient_equations,[],[f1636]) ).
fof(f1638,definition,
sF23 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f1639,plain,
c_Message_Omsg_OAgent(v_A) = sF23,
inference(reorient_equations,[],[f1638]) ).
fof(f1640,definition,
sF24 = c_Message_Omsg_OAgent(v_C),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f1641,plain,
c_Message_Omsg_OAgent(v_C) = sF24,
inference(reorient_equations,[],[f1640]) ).
fof(f1642,definition,
sF25 = c_Message_Omsg_OMPair(sF23,sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1643,plain,
c_Message_Omsg_OMPair(sF23,sF24) = sF25,
inference(reorient_equations,[],[f1642]) ).
fof(f1644,definition,
sF26 = c_Message_Omsg_OMPair(v_NA,sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1645,plain,
c_Message_Omsg_OMPair(v_NA,sF25) = sF26,
inference(reorient_equations,[],[f1644]) ).
fof(f1646,definition,
sF27 = c_Message_Omsg_OCrypt(sF22,sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f1647,plain,
c_Message_Omsg_OCrypt(sF22,sF26) = sF27,
inference(reorient_equations,[],[f1646]) ).
fof(f1648,definition,
sF28 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f1649,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4) = sF28,
inference(reorient_equations,[],[f1648]) ).
fof(f1650,definition,
sF29 = c_insert(v_X,sF28,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f1651,plain,
c_insert(v_X,sF28,tc_Message_Omsg) = sF29,
inference(reorient_equations,[],[f1650]) ).
fof(f1652,definition,
sF30 = c_Message_Oparts(sF29),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f1653,plain,
c_Message_Oparts(sF29) = sF30,
inference(reorient_equations,[],[f1652]) ).
fof(f1654,plain,
c_in(sF27,sF30,tc_Message_Omsg),
inference(definition_folding,[],[f1564,f1653,f1651,f1649,f1647,f1645,f1643,f1641,f1639,f1637]) ).
fof(f1655,definition,
sF31 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f1656,plain,
c_Message_Omsg_OAgent(v_B) = sF31,
inference(reorient_equations,[],[f1655]) ).
fof(f1657,definition,
sF32 = c_Message_Omsg_OMPair(sF23,sF31),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f1658,plain,
c_Message_Omsg_OMPair(sF23,sF31) = sF32,
inference(reorient_equations,[],[f1657]) ).
fof(f1659,definition,
sF33 = c_Message_Omsg_OMPair(v_NA,sF32),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f1660,plain,
c_Message_Omsg_OMPair(v_NA,sF32) = sF33,
inference(reorient_equations,[],[f1659]) ).
fof(f1661,definition,
sF34 = c_Message_Omsg_OCrypt(sF22,sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f1662,plain,
c_Message_Omsg_OCrypt(sF22,sF33) = sF34,
inference(reorient_equations,[],[f1661]) ).
fof(f1663,plain,
c_in(sF34,sF30,tc_Message_Omsg),
inference(definition_folding,[],[f1565,f1653,f1651,f1649,f1662,f1660,f1658,f1656,f1639,f1637]) ).
fof(f1664,definition,
sF35 = c_Message_Oparts(sF28),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f1665,plain,
c_Message_Oparts(sF28) = sF35,
inference(reorient_equations,[],[f1664]) ).
fof(f1666,plain,
( v_C = v_B
| ~ c_in(sF34,sF35,tc_Message_Omsg)
| ~ c_in(sF27,sF35,tc_Message_Omsg) ),
inference(definition_folding,[],[f1569,f1665,f1649,f1647,f1645,f1643,f1641,f1639,f1637,f1665,f1649,f1662,f1660,f1658,f1656,f1639,f1637]) ).
fof(f1668,definition,
( spl36_1
<=> c_in(sF27,sF35,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f1670,plain,
( ~ c_in(sF27,sF35,tc_Message_Omsg)
| spl36_1 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f1672,definition,
( spl36_2
<=> c_in(sF34,sF35,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f1674,plain,
( ~ c_in(sF34,sF35,tc_Message_Omsg)
| spl36_2 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f1676,definition,
( spl36_3
<=> v_C = v_B ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f1679,plain,
( ~ spl36_1
| ~ spl36_2
| spl36_3 ),
inference(avatar_split_clause,[],[f1666,f1676,f1672,f1668]) ).
fof(f1680,plain,
~ spl36_3,
inference(avatar_split_clause,[],[f1567,f1676]) ).
fof(f1682,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(sF28),tc_Message_Omsg)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[],[f1557,f1649]) ).
fof(f1683,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF35,tc_Message_Omsg)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f1682,f1665]) ).
fof(f1685,plain,
! [X0] :
( ~ c_in(v_evs4,c_OtwayRees_Ootway,sF0)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF35,tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f1683,f1590]) ).
fof(f1694,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF35,tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_subsumption_resolution,[],[f1685,f1591]) ).
fof(f1699,plain,
( ~ c_in(c_Message_Omsg_OKey(sF22),sF35,tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[],[f1694,f1637]) ).
fof(f1700,plain,
~ c_in(c_Message_Omsg_OKey(sF22),sF35,tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f1699,f1558]) ).
fof(f1708,plain,
! [X0] :
( ~ c_in(sF27,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(sF27,X0,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF22),X0,tc_Message_Omsg) ),
inference(superposition,[],[f1447,f1647]) ).
fof(f1709,plain,
! [X0] :
( ~ c_in(sF34,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(sF34,X0,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF22),X0,tc_Message_Omsg) ),
inference(superposition,[],[f1447,f1662]) ).
fof(f1718,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,f1632]) ).
fof(f1859,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(f1862,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,[],[f1859,f1590]) ).
fof(f1865,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,[],[f1862,f1621]) ).
fof(f1866,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,[],[f1865,f1591]) ).
fof(f1867,plain,
! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF15,tc_Event_Oevent)
| c_in(X1,c_Message_Oanalz(sF28),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1866,f1649]) ).
fof(f1868,plain,
( ~ c_in(sF21,sF15,tc_Event_Oevent)
| c_in(sF20,c_Message_Oanalz(sF28),tc_Message_Omsg) ),
inference(superposition,[],[f1867,f1634]) ).
fof(f1869,plain,
c_in(sF20,c_Message_Oanalz(sF28),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f1868,f1635]) ).
fof(f1946,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,f1630]) ).
fof(f1967,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(sF29),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF28)),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF28)),c_Message_Oparts(sF28),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[],[f1523,f1651]) ).
fof(f1968,plain,
! [X0] :
( ~ c_in(X0,sF30,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF28)),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF28)),c_Message_Oparts(sF28),tc_Message_Omsg),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1967,f1653]) ).
fof(f1969,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF28)),sF35,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF30,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF28)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f1968,f1665]) ).
fof(f1971,definition,
( spl36_28
<=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF28)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl36_28])],[avatar_definition]) ).
fof(f1973,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF28)),tc_Message_Omsg)
| spl36_28 ),
inference(avatar_component_clause,[],[f1971]) ).
fof(f1975,definition,
( spl36_29
<=> ! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF28)),sF35,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF30,tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[spl36_29])],[avatar_definition]) ).
fof(f1976,plain,
( ! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF28)),sF35,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF30,tc_Message_Omsg) )
| ~ spl36_29 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f1977,plain,
( ~ spl36_28
| spl36_29 ),
inference(avatar_split_clause,[],[f1969,f1975,f1971]) ).
fof(f2000,plain,
( ~ c_in(v_X,c_Message_Oanalz(sF28),tc_Message_Omsg)
| spl36_28 ),
inference(resolution,[],[f1973,f1518]) ).
fof(f2387,plain,
c_in(sF19,c_Message_Oanalz(sF28),tc_Message_Omsg),
inference(resolution,[],[f1718,f1869]) ).
fof(f2426,plain,
c_in(v_X,c_Message_Oanalz(sF28),tc_Message_Omsg),
inference(resolution,[],[f1946,f2387]) ).
fof(f2428,plain,
( $false
| spl36_28 ),
inference(forward_subsumption_resolution,[],[f2426,f2000]) ).
fof(f2429,plain,
spl36_28,
inference(avatar_contradiction_clause,[],[f2428]) ).
fof(f2430,plain,
( ! [X0] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(sF28)),tc_Message_Omsg)
| c_in(X0,sF35,tc_Message_Omsg)
| ~ c_in(X0,sF30,tc_Message_Omsg) )
| ~ spl36_29 ),
inference(resolution,[],[f1976,f1395]) ).
fof(f2438,plain,
( c_in(sF27,sF35,tc_Message_Omsg)
| ~ c_in(sF27,sF30,tc_Message_Omsg)
| c_in(sF27,c_Message_Oanalz(sF28),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF22),c_Message_Oanalz(sF28),tc_Message_Omsg)
| ~ spl36_29 ),
inference(resolution,[],[f2430,f1708]) ).
fof(f2439,plain,
( c_in(sF34,sF35,tc_Message_Omsg)
| ~ c_in(sF34,sF30,tc_Message_Omsg)
| c_in(sF34,c_Message_Oanalz(sF28),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF22),c_Message_Oanalz(sF28),tc_Message_Omsg)
| ~ spl36_29 ),
inference(resolution,[],[f2430,f1709]) ).
fof(f2440,plain,
( ~ c_in(sF34,sF30,tc_Message_Omsg)
| c_in(sF34,c_Message_Oanalz(sF28),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF22),c_Message_Oanalz(sF28),tc_Message_Omsg)
| spl36_2
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f2439,f1674]) ).
fof(f2441,plain,
( ~ c_in(sF27,sF30,tc_Message_Omsg)
| c_in(sF27,c_Message_Oanalz(sF28),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF22),c_Message_Oanalz(sF28),tc_Message_Omsg)
| spl36_1
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f2438,f1670]) ).
fof(f2442,plain,
( c_in(sF34,c_Message_Oanalz(sF28),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF22),c_Message_Oanalz(sF28),tc_Message_Omsg)
| spl36_2
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f2440,f1663]) ).
fof(f2443,plain,
( c_in(sF27,c_Message_Oanalz(sF28),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF22),c_Message_Oanalz(sF28),tc_Message_Omsg)
| spl36_1
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f2441,f1654]) ).
fof(f2445,definition,
( spl36_62
<=> c_in(c_Message_Omsg_OKey(sF22),c_Message_Oanalz(sF28),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl36_62])],[avatar_definition]) ).
fof(f2447,plain,
( c_in(c_Message_Omsg_OKey(sF22),c_Message_Oanalz(sF28),tc_Message_Omsg)
| ~ spl36_62 ),
inference(avatar_component_clause,[],[f2445]) ).
fof(f2449,definition,
( spl36_63
<=> c_in(sF34,c_Message_Oanalz(sF28),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl36_63])],[avatar_definition]) ).
fof(f2451,plain,
( c_in(sF34,c_Message_Oanalz(sF28),tc_Message_Omsg)
| ~ spl36_63 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f2452,plain,
( spl36_62
| spl36_63
| spl36_2
| ~ spl36_29 ),
inference(avatar_split_clause,[],[f2442,f1975,f1672,f2449,f2445]) ).
fof(f2454,definition,
( spl36_64
<=> c_in(sF27,c_Message_Oanalz(sF28),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl36_64])],[avatar_definition]) ).
fof(f2456,plain,
( c_in(sF27,c_Message_Oanalz(sF28),tc_Message_Omsg)
| ~ spl36_64 ),
inference(avatar_component_clause,[],[f2454]) ).
fof(f2457,plain,
( spl36_62
| spl36_64
| spl36_1
| ~ spl36_29 ),
inference(avatar_split_clause,[],[f2443,f1975,f1668,f2454,f2445]) ).
fof(f2458,plain,
( c_in(c_Message_Omsg_OKey(sF22),c_Message_Oparts(sF28),tc_Message_Omsg)
| ~ spl36_62 ),
inference(resolution,[],[f2447,f1525]) ).
fof(f2459,plain,
( c_in(c_Message_Omsg_OKey(sF22),sF35,tc_Message_Omsg)
| ~ spl36_62 ),
inference(forward_demodulation,[],[f2458,f1665]) ).
fof(f2460,plain,
( $false
| ~ spl36_62 ),
inference(forward_subsumption_resolution,[],[f2459,f1700]) ).
fof(f2461,plain,
~ spl36_62,
inference(avatar_contradiction_clause,[],[f2460]) ).
fof(f2466,plain,
( c_in(sF27,c_Message_Oparts(sF28),tc_Message_Omsg)
| ~ spl36_64 ),
inference(resolution,[],[f2456,f1525]) ).
fof(f2467,plain,
( c_in(sF27,sF35,tc_Message_Omsg)
| ~ spl36_64 ),
inference(forward_demodulation,[],[f2466,f1665]) ).
fof(f2468,plain,
( $false
| spl36_1
| ~ spl36_64 ),
inference(forward_subsumption_resolution,[],[f2467,f1670]) ).
fof(f2469,plain,
( spl36_1
| ~ spl36_64 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2481,plain,
( c_in(sF34,c_Message_Oparts(sF28),tc_Message_Omsg)
| ~ spl36_63 ),
inference(resolution,[],[f2451,f1525]) ).
fof(f2482,plain,
( c_in(sF34,sF35,tc_Message_Omsg)
| ~ spl36_63 ),
inference(forward_demodulation,[],[f2481,f1665]) ).
fof(f2483,plain,
( $false
| spl36_2
| ~ spl36_63 ),
inference(forward_subsumption_resolution,[],[f2482,f1674]) ).
fof(f2484,plain,
( spl36_2
| ~ spl36_63 ),
inference(avatar_contradiction_clause,[],[f2483]) ).
cnf(s1,plain,
( ~ spl36_1
| ~ spl36_2
| spl36_3 ),
inference(sat_conversion,[],[f1679]) ).
cnf(s2,plain,
~ spl36_3,
inference(sat_conversion,[],[f1680]) ).
cnf(s29,plain,
( ~ spl36_28
| spl36_29 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s54,plain,
spl36_28,
inference(sat_conversion,[],[f2429]) ).
cnf(s55,plain,
( spl36_2
| ~ spl36_29
| spl36_62
| spl36_63 ),
inference(sat_conversion,[],[f2452]) ).
cnf(s56,plain,
( spl36_1
| ~ spl36_29
| spl36_62
| spl36_64 ),
inference(sat_conversion,[],[f2457]) ).
cnf(s57,plain,
~ spl36_62,
inference(sat_conversion,[],[f2461]) ).
cnf(s59,plain,
( spl36_1
| ~ spl36_64 ),
inference(sat_conversion,[],[f2469]) ).
cnf(s63,plain,
( spl36_2
| ~ spl36_63 ),
inference(sat_conversion,[],[f2484]) ).
cnf(s64,plain,
( spl36_1
| ~ spl36_29
| spl36_64 ),
inference(rat,[],[s56,s57]) ).
cnf(s65,plain,
( spl36_2
| ~ spl36_29
| spl36_63 ),
inference(rat,[],[s55,s57]) ).
cnf(s70,plain,
spl36_29,
inference(rat,[],[s29,s54]) ).
cnf(s84,plain,
( ~ spl36_1
| ~ spl36_2 ),
inference(rat,[],[s1,s2]) ).
cnf(s85,plain,
spl36_1,
inference(rat,[],[s64,s59,s70]) ).
cnf(s87,plain,
~ spl36_2,
inference(rat,[],[s84,s85]) ).
cnf(s90,plain,
~ spl36_63,
inference(rat,[],[s63,s87]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s65,s70,s90,s87]) ).
fof(f2485,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV327-1 : 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 : n010.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 10:36:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 7.86/1.94 % (1838720)Input is clausal, will run a generic CNF schedule.
% 7.86/1.94 % (1838726)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1620636455:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.86/1.94 % (1838730)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3306930853:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.86/1.94 % (1838728)lrs+10_1_sil=8000:sp=occurrence:random_seed=1864295217:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.86/1.94 % (1838729)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3268522652:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.86/1.94 % (1838725)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=2307375407:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.86/1.94 % (1838727)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3906240038:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.86/1.94 % (1838731)dis-21_1_sil=8000:lcm=predicate:random_seed=2170434154: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)
% 7.86/1.94 % (1838728)Instruction limit reached!
% 7.86/1.94 % (1838728)------------------------------
% 7.86/1.94 % (1838728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838728)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838728)Termination reason: Instruction limit
% 7.86/1.94 % (1838728)Termination phase: Saturation
% 7.86/1.94 % (1838728)Time elapsed: 0.060 s
% 7.86/1.94 % (1838728)Peak memory usage: 90 MB
% 7.86/1.94 % (1838728)Instructions burned: 109 (million)
% 7.86/1.94 % (1838729)Instruction limit reached!
% 7.86/1.94 % (1838729)------------------------------
% 7.86/1.94 % (1838729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838729)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838729)Termination reason: Instruction limit
% 7.86/1.94 % (1838729)Termination phase: Saturation
% 7.86/1.94 % (1838729)Time elapsed: 0.074 s
% 7.86/1.94 % (1838729)Peak memory usage: 90 MB
% 7.86/1.94 % (1838729)Instructions burned: 114 (million)
% 7.86/1.94 % (1838731)Instruction limit reached!
% 7.86/1.94 % (1838731)------------------------------
% 7.86/1.94 % (1838731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838731)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838731)Termination reason: Instruction limit
% 7.86/1.94 % (1838731)Termination phase: Saturation
% 7.86/1.94 % (1838731)Time elapsed: 0.067 s
% 7.86/1.94 % (1838731)Peak memory usage: 89 MB
% 7.86/1.94 % (1838731)Instructions burned: 117 (million)
% 7.86/1.94 % (1838730)Instruction limit reached!
% 7.86/1.94 % (1838730)------------------------------
% 7.86/1.94 % (1838730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838730)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838730)Termination reason: Instruction limit
% 7.86/1.94 % (1838730)Termination phase: Saturation
% 7.86/1.94 % (1838730)Time elapsed: 0.121 s
% 7.86/1.94 % (1838730)Peak memory usage: 90 MB
% 7.86/1.94 % (1838730)Instructions burned: 181 (million)
% 7.86/1.94 % (1838739)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=2343265342:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.86/1.94 % (1838741)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=107723268:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.86/1.94 % (1838740)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1462519325: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)
% 7.86/1.94 % (1838739)Refutation not found, incomplete strategy
% 7.86/1.94 % (1838739)------------------------------
% 7.86/1.94 % (1838739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838739)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838739)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.94 % (1838739)Time elapsed: 0.012 s
% 7.86/1.94 % (1838739)Peak memory usage: 89 MB
% 7.86/1.94 % (1838739)Instructions burned: 19 (million)
% 7.86/1.94 % (1838741)Refutation not found, incomplete strategy
% 7.86/1.94 % (1838741)------------------------------
% 7.86/1.94 % (1838741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838741)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838741)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.94 % (1838741)Time elapsed: 0.013 s
% 7.86/1.94 % (1838741)Peak memory usage: 89 MB
% 7.86/1.94 % (1838741)Instructions burned: 21 (million)
% 7.86/1.94 % (1838742)lrs+10_64_to=lpo:sil=8000:random_seed=2324717427:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.86/1.94 % (1838740)Instruction limit reached!
% 7.86/1.94 % (1838740)------------------------------
% 7.86/1.94 % (1838740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838740)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838740)Termination reason: Instruction limit
% 7.86/1.94 % (1838740)Termination phase: Saturation
% 7.86/1.94 % (1838740)Time elapsed: 0.104 s
% 7.86/1.94 % (1838740)Peak memory usage: 92 MB
% 7.86/1.94 % (1838740)Instructions burned: 189 (million)
% 7.86/1.94 % (1838742)Instruction limit reached!
% 7.86/1.94 % (1838742)------------------------------
% 7.86/1.94 % (1838742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838742)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838742)Termination reason: Instruction limit
% 7.86/1.94 % (1838742)Termination phase: Saturation
% 7.86/1.94 % (1838742)Time elapsed: 0.073 s
% 7.86/1.94 % (1838742)Peak memory usage: 90 MB
% 7.86/1.94 % (1838742)Instructions burned: 126 (million)
% 7.86/1.94 % (1838747)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1914579423:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.86/1.94 % (1838739)------------------------------
% 7.86/1.94 % (1838739)------------------------------
% 7.86/1.94 % (1838741)------------------------------
% 7.86/1.94 % (1838741)------------------------------
% 7.86/1.94 % (1838748)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=835162209:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.86/1.94 % (1838747)Instruction limit reached!
% 7.86/1.94 % (1838747)------------------------------
% 7.86/1.94 % (1838747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838747)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838747)Termination reason: Instruction limit
% 7.86/1.94 % (1838747)Termination phase: Saturation
% 7.86/1.94 % (1838747)Time elapsed: 0.087 s
% 7.86/1.94 % (1838747)Peak memory usage: 90 MB
% 7.86/1.94 % (1838747)Instructions burned: 194 (million)
% 7.86/1.94 % (1838748)Instruction limit reached!
% 7.86/1.94 % (1838748)------------------------------
% 7.86/1.94 % (1838748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838748)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838748)Termination reason: Instruction limit
% 7.86/1.94 % (1838748)Termination phase: Saturation
% 7.86/1.94 % (1838748)Time elapsed: 0.094 s
% 7.86/1.94 % (1838748)Peak memory usage: 91 MB
% 7.86/1.94 % (1838748)Instructions burned: 157 (million)
% 7.86/1.94 % (1838750)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4075912457:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.86/1.94 % (1838751)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=3692026563:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.86/1.94 % (1838753)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=5702641:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.86/1.94 % (1838751)Instruction limit reached!
% 7.86/1.94 % (1838751)------------------------------
% 7.86/1.94 % (1838751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838751)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838751)Termination reason: Instruction limit
% 7.86/1.94 % (1838751)Termination phase: Saturation
% 7.86/1.94 % (1838751)Time elapsed: 0.056 s
% 7.86/1.94 % (1838751)Peak memory usage: 90 MB
% 7.86/1.94 % (1838751)Instructions burned: 106 (million)
% 7.86/1.94 % (1838753)Refutation not found, incomplete strategy
% 7.86/1.94 % (1838753)------------------------------
% 7.86/1.94 % (1838753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838753)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838753)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.94 % (1838753)Time elapsed: 0.015 s
% 7.86/1.94 % (1838753)Peak memory usage: 89 MB
% 7.86/1.94 % (1838753)Instructions burned: 25 (million)
% 7.86/1.94 % (1838754)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=60324112:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.86/1.94 % (1838758)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3141710146:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.86/1.94 % (1838754)Instruction limit reached!
% 7.86/1.94 % (1838754)------------------------------
% 7.86/1.94 % (1838754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838754)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838754)Termination reason: Instruction limit
% 7.86/1.94 % (1838754)Termination phase: Saturation
% 7.86/1.94 % (1838754)Time elapsed: 0.127 s
% 7.86/1.94 % (1838754)Peak memory usage: 90 MB
% 7.86/1.94 % (1838754)Instructions burned: 243 (million)
% 7.86/1.94 % (1838725)First to succeed.
% 7.86/1.94 % (1838725)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1838720"
% 7.86/1.94 % (1838753)------------------------------
% 7.86/1.94 % (1838753)------------------------------
% 7.86/1.94 % (1838761)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=368213631:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 7.86/1.94 % (1838727)Also succeeded, but the first one will report.
% 7.86/1.94 % (1838762)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=529254459:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 7.86/1.94 % (1838761)Instruction limit reached!
% 7.86/1.94 % (1838761)------------------------------
% 7.86/1.94 % (1838761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.94 % (1838761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.94 % (1838761)CaDiCaL version: 2.1.3
% 7.86/1.94 % (1838761)Termination reason: Instruction limit
% 7.86/1.94 % (1838761)Termination phase: Saturation
% 7.86/1.94 % (1838761)Time elapsed: 0.077 s
% 7.86/1.94 % (1838761)Peak memory usage: 90 MB
% 7.86/1.94 % (1838761)Instructions burned: 135 (million)
% 7.86/1.94 % (1838725)Refutation found. Thanks to Tanya!
% 7.86/1.94 % SZS status Unsatisfiable for theBenchmark
% 7.86/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 9.39/2.13 % (1838725)------------------------------
% 9.39/2.13 % (1838725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.13 % (1838725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.13 % (1838725)CaDiCaL version: 2.1.3
% 9.39/2.13 % (1838725)Termination reason: Refutation
% 9.39/2.13 % (1838725)Time elapsed: 0.826 s
% 9.39/2.13 % (1838725)Peak memory usage: 138 MB
% 9.39/2.13 % (1838725)Instructions burned: 1272 (million)
% 9.39/2.13 % (1838725)------------------------------
% 9.39/2.13 % (1838725)------------------------------
% 9.39/2.13 % (1838720)Success in time 1.267 s
% 9.39/2.13 % Vampire exiting
%------------------------------------------------------------------------------