%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV311-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:08:47 PM UTC 2026
% Result : Unsatisfiable 6.09s 1.68s
% Output : Refutation 7.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 37
% Syntax : Number of formulae : 112 ( 77 unt; 25 def)
% Number of atoms : 163 ( 58 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 107 ( 56 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 54 ( 54 usr; 35 con; 0-5 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
fof(f1560,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(v_sko__u__1(X4,X1,X2,X3,X0),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OAgent(X1)))))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OAgent(X1))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OCrypt__imp__OR2__dest_0) ).
fof(f1563,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1564,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1565,negated_conjecture,
v_NB = c_Message_Omsg_ONonce(v_NBa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f1567,negated_conjecture,
! [X0] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f1570,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1571,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1574,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1575,plain,
v_Aa = v_A,
inference(reorient_equations,[],[f1574]) ).
fof(f1599,plain,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(definition_unfolding,[],[f1563,f1571]) ).
fof(f1600,plain,
! [X0] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(definition_unfolding,[],[f1567,f1575,f1575]) ).
fof(f1602,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(definition_unfolding,[],[f1570,f1575,f1575,f1575,f1575]) ).
fof(f1605,definition,
sF0 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1606,plain,
tc_List_Olist(tc_Event_Oevent) = sF0,
inference(reorient_equations,[],[f1605]) ).
fof(f1607,plain,
c_in(v_evs3,c_OtwayRees_Ootway,sF0),
inference(definition_folding,[],[f1564,f1606]) ).
fof(f1608,definition,
sF1 = c_Message_Omsg_ONonce(v_NBa),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1609,plain,
c_Message_Omsg_ONonce(v_NBa) = sF1,
inference(reorient_equations,[],[f1608]) ).
fof(f1610,plain,
v_NB = sF1,
inference(definition_folding,[],[f1565,f1609]) ).
fof(f1611,definition,
sF2 = c_Message_Omsg_ONonce(v_NAa),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1612,plain,
c_Message_Omsg_ONonce(v_NAa) = sF2,
inference(reorient_equations,[],[f1611]) ).
fof(f1613,definition,
sF3 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1614,plain,
c_Message_Omsg_OAgent(v_A) = sF3,
inference(reorient_equations,[],[f1613]) ).
fof(f1615,definition,
sF4 = c_Message_Omsg_OAgent(v_Ba),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1616,plain,
c_Message_Omsg_OAgent(v_Ba) = sF4,
inference(reorient_equations,[],[f1615]) ).
fof(f1617,definition,
sF5 = c_Public_OshrK(v_Ba),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1618,plain,
c_Public_OshrK(v_Ba) = sF5,
inference(reorient_equations,[],[f1617]) ).
fof(f1619,definition,
sF6 = c_Message_Omsg_OMPair(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f1620,plain,
c_Message_Omsg_OMPair(sF3,sF4) = sF6,
inference(reorient_equations,[],[f1619]) ).
fof(f1621,definition,
sF7 = c_Message_Omsg_OMPair(sF1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f1622,plain,
c_Message_Omsg_OMPair(sF1,sF6) = sF7,
inference(reorient_equations,[],[f1621]) ).
fof(f1623,definition,
sF8 = c_Message_Omsg_OMPair(sF2,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f1624,plain,
c_Message_Omsg_OMPair(sF2,sF7) = sF8,
inference(reorient_equations,[],[f1623]) ).
fof(f1625,definition,
sF9 = c_Message_Omsg_OCrypt(sF5,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f1626,plain,
c_Message_Omsg_OCrypt(sF5,sF8) = sF9,
inference(reorient_equations,[],[f1625]) ).
fof(f1627,definition,
! [X0] : sF10(X0) = c_Message_Omsg_OMPair(X0,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f1628,plain,
! [X0] : c_Message_Omsg_OMPair(X0,sF9) = sF10(X0),
inference(reorient_equations,[],[f1627]) ).
fof(f1629,definition,
! [X0] : sF11(X0) = c_Message_Omsg_OMPair(sF4,sF10(X0)),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f1630,plain,
! [X0] : c_Message_Omsg_OMPair(sF4,sF10(X0)) = sF11(X0),
inference(reorient_equations,[],[f1629]) ).
fof(f1631,definition,
! [X0] : sF12(X0) = c_Message_Omsg_OMPair(sF3,sF11(X0)),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f1632,plain,
! [X0] : c_Message_Omsg_OMPair(sF3,sF11(X0)) = sF12(X0),
inference(reorient_equations,[],[f1631]) ).
fof(f1633,definition,
! [X0] : sF13(X0) = c_Message_Omsg_OMPair(sF2,sF12(X0)),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f1634,plain,
! [X0] : c_Message_Omsg_OMPair(sF2,sF12(X0)) = sF13(X0),
inference(reorient_equations,[],[f1633]) ).
fof(f1635,definition,
! [X0] : sF14(X0) = c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,sF13(X0)),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f1636,plain,
! [X0] : c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,sF13(X0)) = sF14(X0),
inference(reorient_equations,[],[f1635]) ).
fof(f1637,definition,
sF15 = c_List_Oset(v_evs3,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f1638,plain,
c_List_Oset(v_evs3,tc_Event_Oevent) = sF15,
inference(reorient_equations,[],[f1637]) ).
fof(f1639,plain,
! [X0] : ~ c_in(sF14(X0),sF15,tc_Event_Oevent),
inference(definition_folding,[],[f1600,f1638,f1636,f1634,f1632,f1630,f1628,f1626,f1624,f1622,f1620,f1616,f1614,f1609,f1612,f1618,f1616,f1614,f1612]) ).
fof(f1640,definition,
sF16 = c_Message_Omsg_OMPair(v_NB,sF6),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f1641,plain,
c_Message_Omsg_OMPair(v_NB,sF6) = sF16,
inference(reorient_equations,[],[f1640]) ).
fof(f1656,definition,
sF24 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f1657,plain,
c_Public_OshrK(v_A) = sF24,
inference(reorient_equations,[],[f1656]) ).
fof(f1678,definition,
sF34 = c_Message_Omsg_OMPair(sF2,sF6),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f1679,plain,
c_Message_Omsg_OMPair(sF2,sF6) = sF34,
inference(reorient_equations,[],[f1678]) ).
fof(f1680,definition,
sF35 = c_Message_Omsg_OCrypt(sF24,sF34),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f1681,plain,
c_Message_Omsg_OCrypt(sF24,sF34) = sF35,
inference(reorient_equations,[],[f1680]) ).
fof(f1682,definition,
sF36 = c_Message_Omsg_OMPair(sF35,sF9),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f1683,plain,
c_Message_Omsg_OMPair(sF35,sF9) = sF36,
inference(reorient_equations,[],[f1682]) ).
fof(f1684,definition,
sF37 = c_Message_Omsg_OMPair(sF4,sF36),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f1685,plain,
c_Message_Omsg_OMPair(sF4,sF36) = sF37,
inference(reorient_equations,[],[f1684]) ).
fof(f1686,definition,
sF38 = c_Message_Omsg_OMPair(sF3,sF37),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f1687,plain,
c_Message_Omsg_OMPair(sF3,sF37) = sF38,
inference(reorient_equations,[],[f1686]) ).
fof(f1688,definition,
sF39 = c_Message_Omsg_OMPair(sF2,sF38),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
fof(f1689,plain,
c_Message_Omsg_OMPair(sF2,sF38) = sF39,
inference(reorient_equations,[],[f1688]) ).
fof(f1690,definition,
sF40 = c_Event_Oevent_OGets(c_Message_Oagent_OServer,sF39),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
fof(f1691,plain,
c_Event_Oevent_OGets(c_Message_Oagent_OServer,sF39) = sF40,
inference(reorient_equations,[],[f1690]) ).
fof(f1692,plain,
c_in(sF40,sF15,tc_Event_Oevent),
inference(definition_folding,[],[f1602,f1638,f1691,f1689,f1687,f1685,f1683,f1626,f1624,f1622,f1620,f1616,f1614,f1609,f1612,f1618,f1681,f1679,f1620,f1616,f1614,f1612,f1657,f1616,f1614,f1612]) ).
fof(f1705,plain,
sF7 = c_Message_Omsg_OMPair(v_NB,sF6),
inference(forward_demodulation,[],[f1622,f1610]) ).
fof(f1710,plain,
sF36 = sF10(sF35),
inference(forward_demodulation,[],[f1683,f1628]) ).
fof(f1711,plain,
sF7 = sF16,
inference(forward_demodulation,[],[f1705,f1641]) ).
fof(f1735,plain,
! [X0,X1] :
( ~ c_in(sF10(X0),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(sF9,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(superposition,[],[f1473,f1628]) ).
fof(f1746,plain,
! [X0] :
( ~ c_in(sF39,c_Message_Oanalz(X0),tc_Message_Omsg)
| c_in(sF38,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[],[f1473,f1689]) ).
fof(f1750,plain,
! [X0] :
( ~ c_in(sF38,c_Message_Oanalz(X0),tc_Message_Omsg)
| c_in(sF37,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[],[f1473,f1687]) ).
fof(f1751,plain,
! [X0] :
( ~ c_in(sF37,c_Message_Oanalz(X0),tc_Message_Omsg)
| c_in(sF36,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[],[f1473,f1685]) ).
fof(f1805,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(f1808,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,[],[f1805,f1606]) ).
fof(f1811,plain,
! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF15,tc_Event_Oevent)
| ~ c_in(v_evs3,c_OtwayRees_Ootway,sF0)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[],[f1808,f1638]) ).
fof(f1812,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_evs3)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[],[f1811,f1607]) ).
fof(f1813,plain,
( ~ c_in(sF40,sF15,tc_Event_Oevent)
| c_in(sF39,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[],[f1812,f1691]) ).
fof(f1814,plain,
c_in(sF39,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f1813,f1692]) ).
fof(f2112,plain,
! [X2,X3,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[],[f1560,f1616]) ).
fof(f2117,plain,
! [X2,X3,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(forward_subsumption_resolution,[],[f2112,f1599]) ).
fof(f2125,plain,
! [X2,X3,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f2117,f1618]) ).
fof(f2129,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f2125,f1618]) ).
fof(f2136,plain,
! [X2,X3,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_OtwayRees_Ootway,sF0) ),
inference(forward_demodulation,[],[f2129,f1606]) ).
fof(f2141,plain,
! [X2,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,X0,X1,X2),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(sF3,sF4))))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(sF3,sF4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_OtwayRees_Ootway,sF0) ),
inference(superposition,[],[f2136,f1614]) ).
fof(f2144,plain,
! [X2,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,X0,X1,X2),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF6)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(sF3,sF4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_OtwayRees_Ootway,sF0) ),
inference(forward_demodulation,[],[f2141,f1620]) ).
fof(f2145,plain,
! [X2,X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,X0,X1,X2),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF6)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_OtwayRees_Ootway,sF0) ),
inference(forward_demodulation,[],[f2144,f1620]) ).
fof(f2149,plain,
! [X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,X0,X1,v_evs3),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF6)))))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(v_evs3,c_OtwayRees_Ootway,sF0) ),
inference(superposition,[],[f2145,f1638]) ).
fof(f2150,plain,
! [X0,X1] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,X0,X1,v_evs3),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF6)))))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[],[f2149,f1607]) ).
fof(f2154,plain,
! [X0] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,X0,v_NB,v_evs3),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF16))))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF16)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[],[f2150,f1641]) ).
fof(f2156,plain,
! [X0] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,X0,v_NB,v_evs3),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF7))))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF16)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f2154,f1711]) ).
fof(f2157,plain,
! [X0] :
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,X0,v_NB,v_evs3),c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF7))))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,c_Message_Omsg_OMPair(X0,sF7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f2156,f1711]) ).
fof(f2159,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,sF2,v_NB,v_evs3),c_Message_Omsg_OCrypt(sF5,sF8)))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,sF8),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(superposition,[],[f2157,f1624]) ).
fof(f2160,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,c_Message_Omsg_OMPair(v_sko__u__1(v_A,v_Ba,sF2,v_NB,v_evs3),sF9))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,sF8),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f2159,f1626]) ).
fof(f2161,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(sF4,sF10(v_sko__u__1(v_A,v_Ba,sF2,v_NB,v_evs3)))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,sF8),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f2160,f1628]) ).
fof(f2162,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(sF3,sF11(v_sko__u__1(v_A,v_Ba,sF2,v_NB,v_evs3))))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,sF8),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f2161,f1630]) ).
fof(f2163,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(sF2,sF12(v_sko__u__1(v_A,v_Ba,sF2,v_NB,v_evs3)))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,sF8),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f2162,f1632]) ).
fof(f2164,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,sF13(v_sko__u__1(v_A,v_Ba,sF2,v_NB,v_evs3))),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,sF8),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f2163,f1634]) ).
fof(f2165,plain,
( c_in(sF14(v_sko__u__1(v_A,v_Ba,sF2,v_NB,v_evs3)),sF15,tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(sF5,sF8),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f2164,f1636]) ).
fof(f2166,plain,
~ c_in(c_Message_Omsg_OCrypt(sF5,sF8),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f2165,f1639]) ).
fof(f2167,plain,
~ c_in(sF9,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_demodulation,[],[f2166,f1626]) ).
fof(f2514,plain,
c_in(sF38,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f1746,f1814]) ).
fof(f2517,plain,
c_in(sF37,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f2514,f1750]) ).
fof(f2519,plain,
c_in(sF36,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f2517,f1751]) ).
fof(f4664,plain,
! [X0] :
( ~ c_in(sF36,c_Message_Oanalz(X0),tc_Message_Omsg)
| c_in(sF9,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[],[f1735,f1710]) ).
fof(f5563,plain,
c_in(sF9,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f4664,f2519]) ).
fof(f5569,plain,
c_in(sF9,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f5563,f1525]) ).
fof(f5570,plain,
$false,
inference(forward_subsumption_resolution,[],[f5569,f2167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV311-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 10:36:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.09/1.68 % (3540580)Input is clausal, will run a generic CNF schedule.
% 6.09/1.68 % (3540585)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=957289586:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.09/1.68 % (3540586)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3583562231:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.09/1.68 % (3540589)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3775581467:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.09/1.68 % (3540587)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2778239293:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.09/1.68 % (3540588)lrs+10_1_sil=8000:sp=occurrence:random_seed=1895315575:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.09/1.68 % (3540591)dis-21_1_sil=8000:lcm=predicate:random_seed=61483839: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)
% 6.09/1.68 % (3540590)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=278039956:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.09/1.68 % (3540588)Instruction limit reached!
% 6.09/1.68 % (3540588)------------------------------
% 6.09/1.68 % (3540588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540588)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540588)Termination reason: Instruction limit
% 6.09/1.68 % (3540588)Termination phase: Saturation
% 6.09/1.68 % (3540588)Time elapsed: 0.059 s
% 6.09/1.68 % (3540588)Peak memory usage: 89 MB
% 6.09/1.68 % (3540588)Instructions burned: 108 (million)
% 6.09/1.68 % (3540591)Instruction limit reached!
% 6.09/1.68 % (3540591)------------------------------
% 6.09/1.68 % (3540591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540591)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540591)Termination reason: Instruction limit
% 6.09/1.68 % (3540591)Termination phase: Saturation
% 6.09/1.68 % (3540591)Time elapsed: 0.068 s
% 6.09/1.68 % (3540591)Peak memory usage: 89 MB
% 6.09/1.68 % (3540591)Instructions burned: 118 (million)
% 6.09/1.68 % (3540589)Instruction limit reached!
% 6.09/1.68 % (3540589)------------------------------
% 6.09/1.68 % (3540589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540589)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540589)Termination reason: Instruction limit
% 6.09/1.68 % (3540589)Termination phase: Saturation
% 6.09/1.68 % (3540589)Time elapsed: 0.074 s
% 6.09/1.68 % (3540589)Peak memory usage: 90 MB
% 6.09/1.68 % (3540589)Instructions burned: 114 (million)
% 6.09/1.68 % (3540590)Instruction limit reached!
% 6.09/1.68 % (3540590)------------------------------
% 6.09/1.68 % (3540590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540590)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540590)Termination reason: Instruction limit
% 6.09/1.68 % (3540590)Termination phase: Saturation
% 6.09/1.68 % (3540590)Time elapsed: 0.121 s
% 6.09/1.68 % (3540590)Peak memory usage: 90 MB
% 6.09/1.68 % (3540590)Instructions burned: 180 (million)
% 6.09/1.68 % (3540599)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=1564368697:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.09/1.68 % (3540599)Refutation not found, incomplete strategy
% 6.09/1.68 % (3540599)------------------------------
% 6.09/1.68 % (3540599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540599)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540599)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.68 % (3540599)Time elapsed: 0.008 s
% 6.09/1.68 % (3540599)Peak memory usage: 89 MB
% 6.09/1.68 % (3540599)Instructions burned: 11 (million)
% 6.09/1.68 % (3540600)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2057777683: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)
% 6.09/1.68 % (3540601)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1839463784:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.09/1.68 % (3540601)Refutation not found, incomplete strategy
% 6.09/1.68 % (3540601)------------------------------
% 6.09/1.68 % (3540601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540601)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540601)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.68 % (3540601)Time elapsed: 0.011 s
% 6.09/1.68 % (3540601)Peak memory usage: 89 MB
% 6.09/1.68 % (3540601)Instructions burned: 17 (million)
% 6.09/1.68 % (3540602)lrs+10_64_to=lpo:sil=8000:random_seed=510409446:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.09/1.68 % (3540600)Instruction limit reached!
% 6.09/1.68 % (3540600)------------------------------
% 6.09/1.68 % (3540600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540600)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540600)Termination reason: Instruction limit
% 6.09/1.68 % (3540600)Termination phase: Saturation
% 6.09/1.68 % (3540600)Time elapsed: 0.110 s
% 6.09/1.68 % (3540600)Peak memory usage: 91 MB
% 6.09/1.68 % (3540600)Instructions burned: 190 (million)
% 6.09/1.68 % (3540602)Instruction limit reached!
% 6.09/1.68 % (3540602)------------------------------
% 6.09/1.68 % (3540602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540602)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540602)Termination reason: Instruction limit
% 6.09/1.68 % (3540602)Termination phase: Saturation
% 6.09/1.68 % (3540602)Time elapsed: 0.073 s
% 6.09/1.68 % (3540602)Peak memory usage: 90 MB
% 6.09/1.68 % (3540602)Instructions burned: 126 (million)
% 6.09/1.68 % (3540599)------------------------------
% 6.09/1.68 % (3540599)------------------------------
% 6.09/1.68 % (3540607)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4017758582:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.09/1.68 % (3540601)------------------------------
% 6.09/1.68 % (3540601)------------------------------
% 6.09/1.68 % (3540608)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2696317934:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.09/1.68 % (3540607)Instruction limit reached!
% 6.09/1.68 % (3540607)------------------------------
% 6.09/1.68 % (3540607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540607)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540607)Termination reason: Instruction limit
% 6.09/1.68 % (3540607)Termination phase: Saturation
% 6.09/1.68 % (3540607)Time elapsed: 0.090 s
% 6.09/1.68 % (3540607)Peak memory usage: 90 MB
% 6.09/1.68 % (3540607)Instructions burned: 195 (million)
% 6.09/1.68 % (3540609)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2490521763:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.09/1.68 % (3540608)Instruction limit reached!
% 6.09/1.68 % (3540608)------------------------------
% 6.09/1.68 % (3540608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540608)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540608)Termination reason: Instruction limit
% 6.09/1.68 % (3540608)Termination phase: Saturation
% 6.09/1.68 % (3540608)Time elapsed: 0.095 s
% 6.09/1.68 % (3540608)Peak memory usage: 91 MB
% 6.09/1.68 % (3540608)Instructions burned: 157 (million)
% 6.09/1.68 % (3540612)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=1017435248:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.09/1.68 % (3540612)Instruction limit reached!
% 6.09/1.68 % (3540612)------------------------------
% 6.09/1.68 % (3540612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540612)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540612)Termination reason: Instruction limit
% 6.09/1.68 % (3540612)Termination phase: Saturation
% 6.09/1.68 % (3540612)Time elapsed: 0.056 s
% 6.09/1.68 % (3540612)Peak memory usage: 90 MB
% 6.09/1.68 % (3540612)Instructions burned: 106 (million)
% 6.09/1.68 % (3540585)First to succeed.
% 6.09/1.68 % (3540585)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3540580"
% 6.09/1.68 % (3540613)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3559796810:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.09/1.68 % (3540613)Refutation not found, incomplete strategy
% 6.09/1.68 % (3540613)------------------------------
% 6.09/1.68 % (3540613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.68 % (3540613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.68 % (3540613)CaDiCaL version: 2.1.3
% 6.09/1.68 % (3540613)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.68 % (3540613)Time elapsed: 0.015 s
% 6.09/1.68 % (3540613)Peak memory usage: 89 MB
% 6.09/1.68 % (3540613)Instructions burned: 23 (million)
% 6.09/1.68 % (3540615)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=277732568:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.09/1.68 % (3540586)Also succeeded, but the first one will report.
% 6.09/1.68 % (3540617)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1744954535:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.09/1.68 % (3540585)Refutation found. Thanks to Tanya!
% 6.09/1.68 % SZS status Unsatisfiable for theBenchmark
% 6.09/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 7.45/1.78 % (3540585)------------------------------
% 7.45/1.78 % (3540585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.45/1.78 % (3540585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.45/1.78 % (3540585)CaDiCaL version: 2.1.3
% 7.45/1.78 % (3540585)Termination reason: Refutation
% 7.45/1.78 % (3540585)Time elapsed: 0.700 s
% 7.45/1.78 % (3540585)Peak memory usage: 139 MB
% 7.45/1.78 % (3540585)Instructions burned: 1922 (million)
% 7.45/1.78 % (3540585)------------------------------
% 7.45/1.78 % (3540585)------------------------------
% 7.45/1.78 % (3540580)Success in time 1.007 s
% 7.45/1.78 % Vampire exiting
%------------------------------------------------------------------------------