%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL912+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:56:59 AM UTC 2026
% Result : Satisfiable 19.79s 8.86s
% Output : Saturation 21.57s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u184,axiom,
op_or ).
cnf(u189,axiom,
op_implies_and ).
cnf(u194,axiom,
op_equiv ).
cnf(u199,axiom,
modus_ponens ).
cnf(u204,axiom,
modus_tollens ).
cnf(u209,axiom,
implies_1 ).
cnf(u214,axiom,
implies_2 ).
cnf(u219,axiom,
implies_3 ).
cnf(u224,axiom,
and_1 ).
cnf(u229,axiom,
and_2 ).
cnf(u234,axiom,
and_3 ).
cnf(u239,axiom,
or_1 ).
cnf(u244,axiom,
or_2 ).
cnf(u249,axiom,
or_3 ).
cnf(u254,axiom,
equivalence_1 ).
cnf(u259,axiom,
equivalence_2 ).
cnf(u264,axiom,
equivalence_3 ).
cnf(u269,axiom,
substitution_of_equivalents ).
cnf(u274,axiom,
op_possibly ).
cnf(u279,axiom,
necessitation ).
cnf(u284,axiom,
axiom_K ).
cnf(u289,axiom,
axiom_M ).
cnf(u294,axiom,
axiom_4 ).
cnf(u299,axiom,
axiom_B ).
cnf(u303,axiom,
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ) ).
cnf(u307,axiom,
is_a_theorem(implies(necessarily(X0),X0)) ).
cnf(u311,axiom,
is_a_theorem(implies(X0,implies(X1,X0))) ).
cnf(u315,axiom,
is_a_theorem(implies(and(X0,X1),X0)) ).
cnf(u319,axiom,
is_a_theorem(implies(and(X0,X1),X1)) ).
cnf(u323,axiom,
is_a_theorem(implies(X0,or(X0,X1))) ).
cnf(u327,axiom,
is_a_theorem(implies(X1,or(X0,X1))) ).
cnf(u331,axiom,
is_a_theorem(implies(X0,necessarily(possibly(X0)))) ).
cnf(u335,axiom,
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ) ).
cnf(u339,axiom,
is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ).
cnf(u343,axiom,
possibly(X0) = not(necessarily(not(X0))) ).
cnf(u348,axiom,
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u353,axiom,
is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ).
cnf(u357,axiom,
is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ).
cnf(u361,axiom,
is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ).
cnf(u365,axiom,
possibly(necessarily(not(X0))) = not(necessarily(possibly(X0))) ).
cnf(u372,axiom,
implies(X0,X1) = not(and(X0,not(X1))) ).
cnf(u381,axiom,
is_a_theorem(implies(necessarily(not(X0)),necessarily(not(necessarily(possibly(X0)))))) ).
cnf(u394,axiom,
is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ).
cnf(u402,axiom,
is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ).
cnf(u406,axiom,
or(X0,X1) = not(and(not(X0),not(X1))) ).
cnf(u411,axiom,
or(X0,X1) = implies(not(X0),X1) ).
cnf(u417,axiom,
is_a_theorem(implies(X0,implies(not(X0),X1))) ).
cnf(u423,axiom,
is_a_theorem(implies(necessarily(not(X0)),implies(possibly(X0),X1))) ).
cnf(u433,axiom,
( ~ is_a_theorem(implies(X0,equiv(X1,X2)))
| ~ is_a_theorem(X0)
| X1 = X2 ) ).
cnf(u437,axiom,
implies(X1,necessarily(not(X0))) = not(and(X1,possibly(X0))) ).
cnf(u441,axiom,
possibly(and(X0,not(X1))) = not(necessarily(implies(X0,X1))) ).
cnf(u449,axiom,
( ~ is_a_theorem(necessarily(equiv(X0,X1)))
| X0 = X1 ) ).
cnf(u453,axiom,
equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ).
cnf(u459,axiom,
( ~ is_a_theorem(and(equiv(X0,X1),X2))
| X0 = X1 ) ).
cnf(u463,axiom,
( ~ is_a_theorem(and(X0,equiv(X1,X2)))
| X1 = X2 ) ).
cnf(u494,axiom,
is_a_theorem(implies(and(X0,not(X1)),implies(implies(X0,X1),X2))) ).
cnf(u501,axiom,
is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ).
cnf(u505,axiom,
is_a_theorem(implies(implies(possibly(X0),not(X1)),implies(X1,necessarily(not(X0))))) ).
cnf(u509,axiom,
is_a_theorem(implies(implies(not(X1),possibly(X0)),implies(necessarily(not(X0)),X1))) ).
cnf(u513,axiom,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ).
cnf(u543,axiom,
is_a_theorem(implies(and(X0,not(X1)),necessarily(not(necessarily(implies(X0,X1)))))) ).
cnf(u551,axiom,
( ~ is_a_theorem(implies(X2,necessarily(equiv(X0,X1))))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u559,axiom,
( ~ is_a_theorem(necessarily(necessarily(equiv(X0,X1))))
| X0 = X1 ) ).
cnf(u565,axiom,
( ~ is_a_theorem(and(necessarily(equiv(X0,X1)),X2))
| X0 = X1 ) ).
cnf(u569,axiom,
( ~ is_a_theorem(and(X0,necessarily(equiv(X1,X2))))
| X1 = X2 ) ).
cnf(u575,axiom,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
cnf(u580,axiom,
implies(X2,and(X0,not(X1))) = not(and(X2,implies(X0,X1))) ).
cnf(u584,axiom,
is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ).
cnf(u606,axiom,
possibly(and(X0,possibly(X1))) = not(necessarily(implies(X0,necessarily(not(X1))))) ).
cnf(u610,axiom,
is_a_theorem(implies(and(X0,possibly(X1)),implies(implies(X0,necessarily(not(X1))),X2))) ).
cnf(u614,axiom,
implies(implies(X0,X1),and(X1,not(X0))) = not(equiv(X0,X1)) ).
cnf(u680,axiom,
is_a_theorem(implies(and(X0,not(X1)),not(equiv(X0,X1)))) ).
cnf(u684,axiom,
is_a_theorem(implies(and(X1,not(X0)),not(equiv(X0,X1)))) ).
cnf(u696,axiom,
is_a_theorem(implies(and(X0,possibly(X1)),not(equiv(X0,necessarily(not(X1)))))) ).
cnf(u713,axiom,
is_a_theorem(implies(and(X1,possibly(X0)),not(equiv(necessarily(not(X0)),X1)))) ).
cnf(u730,axiom,
( ~ is_a_theorem(implies(X2,and(equiv(X0,X1),X3)))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u734,axiom,
( ~ is_a_theorem(implies(X2,and(X3,equiv(X0,X1))))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u743,axiom,
( ~ is_a_theorem(necessarily(and(equiv(X0,X1),X2)))
| X0 = X1 ) ).
cnf(u749,axiom,
( ~ is_a_theorem(and(and(equiv(X0,X1),X2),X3))
| X0 = X1 ) ).
cnf(u753,axiom,
( ~ is_a_theorem(and(X0,and(equiv(X1,X2),X3)))
| X1 = X2 ) ).
cnf(u763,axiom,
( ~ is_a_theorem(necessarily(and(X0,equiv(X1,X2))))
| X1 = X2 ) ).
cnf(u769,axiom,
( ~ is_a_theorem(and(and(X0,equiv(X1,X2)),X3))
| X1 = X2 ) ).
cnf(u773,axiom,
( ~ is_a_theorem(and(X0,and(X1,equiv(X2,X3))))
| X2 = X3 ) ).
cnf(u779,axiom,
( ~ is_a_theorem(implies(X2,necessarily(necessarily(equiv(X0,X1)))))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u783,axiom,
is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(implies(not(X0),X1),X2)))) ).
cnf(u792,axiom,
( ~ is_a_theorem(necessarily(necessarily(necessarily(equiv(X0,X1)))))
| X0 = X1 ) ).
cnf(u798,axiom,
( ~ is_a_theorem(and(necessarily(necessarily(equiv(X0,X1))),X2))
| X0 = X1 ) ).
cnf(u802,axiom,
( ~ is_a_theorem(and(X0,necessarily(necessarily(equiv(X1,X2)))))
| X1 = X2 ) ).
cnf(u808,axiom,
is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(X2,and(X0,not(X1))))) ).
cnf(u812,axiom,
is_a_theorem(implies(implies(not(X2),implies(X0,X1)),implies(and(X0,not(X1)),X2))) ).
cnf(u839,axiom,
is_a_theorem(implies(implies(possibly(X1),possibly(X0)),implies(necessarily(not(X0)),necessarily(not(X1))))) ).
cnf(u869,axiom,
is_a_theorem(implies(and(X1,possibly(X0)),necessarily(not(necessarily(implies(X1,necessarily(not(X0)))))))) ).
cnf(u873,axiom,
is_a_theorem(implies(equiv(implies(X0,X1),and(X1,not(X0))),not(equiv(X0,X1)))) ).
cnf(u877,axiom,
is_a_theorem(implies(equiv(and(X1,not(X0)),implies(X0,X1)),not(equiv(X0,X1)))) ).
cnf(u881,axiom,
is_a_theorem(implies(implies(implies(X0,X1),not(equiv(X0,X1))),not(equiv(X0,X1)))) ).
cnf(u885,axiom,
is_a_theorem(implies(implies(implies(X1,X0),not(implies(X0,X1))),not(equiv(X0,X1)))) ).
cnf(u915,axiom,
is_a_theorem(implies(and(X2,implies(X0,X1)),not(equiv(X2,and(X0,not(X1)))))) ).
cnf(u919,axiom,
is_a_theorem(implies(and(X2,implies(X0,X1)),not(equiv(and(X0,not(X1)),X2)))) ).
cnf(u939,axiom,
( ~ is_a_theorem(implies(X2,and(necessarily(equiv(X0,X1)),X3)))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u943,axiom,
( ~ is_a_theorem(implies(X2,and(X3,necessarily(equiv(X0,X1)))))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u947,axiom,
( ~ is_a_theorem(implies(X2,necessarily(and(equiv(X0,X1),X3))))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u951,axiom,
( ~ is_a_theorem(implies(X2,necessarily(and(X3,equiv(X0,X1)))))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u955,axiom,
is_a_theorem(implies(equiv(X0,X1),not(equiv(implies(X0,X1),and(X1,not(X0)))))) ).
cnf(u966,axiom,
is_a_theorem(implies(equiv(X0,X1),not(equiv(and(X1,not(X0)),implies(X0,X1))))) ).
cnf(u975,axiom,
( ~ is_a_theorem(necessarily(and(necessarily(equiv(X0,X1)),X2)))
| X0 = X1 ) ).
cnf(u981,axiom,
( ~ is_a_theorem(and(and(necessarily(equiv(X0,X1)),X2),X3))
| X0 = X1 ) ).
cnf(u985,axiom,
( ~ is_a_theorem(and(X0,and(necessarily(equiv(X1,X2)),X3)))
| X1 = X2 ) ).
cnf(u995,axiom,
( ~ is_a_theorem(necessarily(and(X0,necessarily(equiv(X1,X2)))))
| X1 = X2 ) ).
cnf(u1001,axiom,
( ~ is_a_theorem(and(and(X0,necessarily(equiv(X1,X2))),X3))
| X1 = X2 ) ).
cnf(u1005,axiom,
( ~ is_a_theorem(and(X0,and(X1,necessarily(equiv(X2,X3)))))
| X2 = X3 ) ).
cnf(u1015,axiom,
( ~ is_a_theorem(necessarily(necessarily(and(equiv(X0,X1),X2))))
| X0 = X1 ) ).
cnf(u1021,axiom,
( ~ is_a_theorem(and(necessarily(and(equiv(X0,X1),X2)),X3))
| X0 = X1 ) ).
cnf(u1025,axiom,
( ~ is_a_theorem(and(X0,necessarily(and(equiv(X1,X2),X3))))
| X1 = X2 ) ).
cnf(u1035,axiom,
( ~ is_a_theorem(necessarily(necessarily(and(X0,equiv(X1,X2)))))
| X1 = X2 ) ).
cnf(u1041,axiom,
( ~ is_a_theorem(and(necessarily(and(X0,equiv(X1,X2))),X3))
| X1 = X2 ) ).
cnf(u1045,axiom,
( ~ is_a_theorem(and(X0,necessarily(and(X1,equiv(X2,X3)))))
| X2 = X3 ) ).
cnf(u1061,axiom,
( ~ is_a_theorem(implies(X2,necessarily(necessarily(necessarily(equiv(X0,X1))))))
| ~ is_a_theorem(X2)
| X0 = X1 ) ).
cnf(u1065,axiom,
is_a_theorem(implies(implies(necessarily(not(X0)),X1),implies(implies(X2,X1),implies(implies(possibly(X0),X2),X1)))) ).
cnf(u1074,axiom,
( ~ is_a_theorem(necessarily(necessarily(necessarily(necessarily(equiv(X0,X1))))))
| X0 = X1 ) ).
cnf(u1080,axiom,
( ~ is_a_theorem(and(necessarily(necessarily(necessarily(equiv(X0,X1)))),X2))
| X0 = X1 ) ).
cnf(u1084,axiom,
( ~ is_a_theorem(and(X0,necessarily(necessarily(necessarily(equiv(X1,X2))))))
| X1 = X2 ) ).
cnf(u1090,axiom,
( ~ is_a_theorem(implies(X3,implies(X0,equiv(X1,X2))))
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(X0) ) ).
cnf(u1094,axiom,
not(necessarily(possibly(and(X0,possibly(X1))))) = possibly(necessarily(implies(X0,necessarily(not(X1))))) ).
cnf(u1099,axiom,
not(necessarily(implies(X2,and(X0,not(X1))))) = possibly(and(X2,implies(X0,X1))) ).
cnf(u1122,axiom,
X0 = X1 ).
cnf(u1914,axiom,
is_a_theorem(X0) ).
cnf(u1964,axiom,
is_a_theorem(implies(X1,X0)) ).
cnf(u2864,axiom,
is_a_theorem(not(equiv(X0,X1))) ).
cnf(u4758,axiom,
( X0 = X1
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X0)) ) ).
cnf(u4762,axiom,
( X0 = X1
| ~ is_a_theorem(equiv(X2,equiv(X0,X1)))
| ~ is_a_theorem(X2) ) ).
cnf(u4766,axiom,
( X0 = X1
| ~ is_a_theorem(equiv(equiv(X0,X1),X2))
| ~ is_a_theorem(X2) ) ).
cnf(u4770,axiom,
is_a_theorem(implies(implies(and(X0,not(X1)),X2),implies(implies(X3,X2),implies(implies(implies(X0,X1),X3),X2)))) ).
cnf(u4775,axiom,
( X0 = X1
| ~ is_a_theorem(necessarily(implies(X2,equiv(X0,X1))))
| ~ is_a_theorem(X2) ) ).
cnf(u4779,axiom,
( X0 = X1
| ~ is_a_theorem(implies(X2,implies(X2,equiv(X0,X1))))
| ~ is_a_theorem(X2) ) ).
cnf(u4783,axiom,
( X0 = X1
| ~ is_a_theorem(implies(not(equiv(X0,X1)),not(X2)))
| ~ is_a_theorem(X2) ) ).
cnf(u4787,axiom,
( X0 = X1
| ~ is_a_theorem(and(implies(X2,equiv(X0,X1)),X3))
| ~ is_a_theorem(X2) ) ).
cnf(u4791,axiom,
( X0 = X1
| ~ is_a_theorem(and(X2,implies(X3,equiv(X0,X1))))
| ~ is_a_theorem(X3) ) ).
cnf(u4852,axiom,
is_a_theorem(implies(necessarily(implies(X0,necessarily(not(X1)))),implies(possibly(and(X0,possibly(X1))),X2))) ).
cnf(u4856,axiom,
is_a_theorem(implies(and(X2,implies(X0,X1)),implies(implies(X2,and(X0,not(X1))),X3))) ).
cnf(u4860,axiom,
( X0 = X1
| ~ is_a_theorem(implies(not(equiv(X0,X1)),possibly(X2)))
| ~ is_a_theorem(necessarily(not(X2))) ) ).
cnf(u4864,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(and(equiv(X0,X1),X3),X4))) ) ).
cnf(u4868,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(X3,and(equiv(X0,X1),X4)))) ) ).
cnf(u4872,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(and(X3,equiv(X0,X1)),X4))) ) ).
cnf(u4876,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(X3,and(X4,equiv(X0,X1))))) ) ).
cnf(u4880,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(necessarily(necessarily(equiv(X0,X1))),X3))) ) ).
cnf(u4884,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(X3,necessarily(necessarily(equiv(X0,X1)))))) ) ).
cnf(u4888,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,necessarily(and(necessarily(equiv(X0,X1)),X3)))) ) ).
cnf(u4892,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,necessarily(and(X3,necessarily(equiv(X0,X1)))))) ) ).
cnf(u4896,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,necessarily(necessarily(and(equiv(X0,X1),X3))))) ) ).
cnf(u4900,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,necessarily(necessarily(and(X3,equiv(X0,X1)))))) ) ).
cnf(u4904,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,necessarily(necessarily(necessarily(necessarily(equiv(X0,X1))))))) ) ).
cnf(u4908,axiom,
is_a_theorem(implies(implies(implies(X0,necessarily(not(X1))),not(X2)),implies(X2,and(X0,possibly(X1))))) ).
cnf(u4912,axiom,
is_a_theorem(implies(implies(not(X2),implies(X0,necessarily(not(X1)))),implies(and(X0,possibly(X1)),X2))) ).
cnf(u4916,axiom,
is_a_theorem(implies(implies(possibly(X2),implies(X0,X1)),implies(and(X0,not(X1)),necessarily(not(X2))))) ).
cnf(u4920,axiom,
is_a_theorem(implies(implies(implies(X0,X1),possibly(X2)),implies(necessarily(not(X2)),and(X0,not(X1))))) ).
cnf(u4924,axiom,
is_a_theorem(implies(necessarily(implies(X0,necessarily(not(X1)))),necessarily(not(necessarily(possibly(and(X0,possibly(X1)))))))) ).
cnf(u4928,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,necessarily(equiv(X1,X2))))) ) ).
cnf(u4932,axiom,
is_a_theorem(implies(and(X2,implies(X0,necessarily(not(X1)))),not(equiv(X2,and(X0,possibly(X1)))))) ).
cnf(u4936,axiom,
is_a_theorem(implies(and(X2,implies(X0,necessarily(not(X1)))),not(equiv(and(X0,possibly(X1)),X2)))) ).
cnf(u4940,axiom,
( ~ is_a_theorem(not(equiv(X0,equiv(X1,X2))))
| ~ is_a_theorem(implies(X0,equiv(X1,X2)))
| X1 = X2 ) ).
cnf(u4944,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(and(necessarily(equiv(X0,X1)),X3),X4))) ) ).
cnf(u4948,axiom,
not(necessarily(implies(X2,and(X0,possibly(X1))))) = possibly(and(X2,implies(X0,necessarily(not(X1))))) ).
cnf(u4952,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(X3,and(necessarily(equiv(X0,X1)),X4)))) ) ).
cnf(u4956,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(and(X3,necessarily(equiv(X0,X1))),X4))) ) ).
cnf(u4960,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(X3,and(X4,necessarily(equiv(X0,X1)))))) ) ).
cnf(u4964,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(necessarily(and(equiv(X0,X1),X3)),X4))) ) ).
cnf(u4968,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(X3,necessarily(and(equiv(X0,X1),X4))))) ) ).
cnf(u4972,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(necessarily(and(X3,equiv(X0,X1))),X4))) ) ).
cnf(u4976,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(X3,necessarily(and(X4,equiv(X0,X1)))))) ) ).
cnf(u4980,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(necessarily(necessarily(necessarily(equiv(X0,X1)))),X3))) ) ).
cnf(u4984,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,and(X3,necessarily(necessarily(necessarily(equiv(X0,X1))))))) ) ).
cnf(u4988,axiom,
not(necessarily(possibly(and(X0,implies(X1,X2))))) = possibly(necessarily(implies(X0,and(X1,not(X2))))) ).
cnf(u4992,axiom,
is_a_theorem(implies(and(X2,implies(X0,necessarily(not(X1)))),implies(implies(X2,and(X0,possibly(X1))),X3))) ).
cnf(u4996,axiom,
is_a_theorem(implies(necessarily(implies(X0,and(X1,not(X2)))),implies(possibly(and(X0,implies(X1,X2))),X3))) ).
cnf(u5000,axiom,
not(equiv(necessarily(not(X0)),X1)) = implies(implies(necessarily(not(X0)),X1),and(X1,possibly(X0))) ).
cnf(u5004,axiom,
is_a_theorem(implies(necessarily(not(equiv(X0,X1))),implies(necessarily(implies(X0,X1)),necessarily(and(X1,not(X0)))))) ).
cnf(u5008,axiom,
( X0 = X1
| ~ is_a_theorem(implies(not(equiv(X0,X1)),implies(X2,X3)))
| ~ is_a_theorem(and(X2,not(X3))) ) ).
cnf(u5012,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,and(equiv(X1,X2),X4)))) ) ).
cnf(u5016,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,and(X4,equiv(X1,X2))))) ) ).
cnf(u5020,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,necessarily(necessarily(equiv(X1,X2)))))) ) ).
cnf(u5024,axiom,
is_a_theorem(implies(implies(possibly(X2),implies(X0,necessarily(not(X1)))),implies(and(X0,possibly(X1)),necessarily(not(X2))))) ).
cnf(u5028,axiom,
is_a_theorem(implies(implies(implies(X0,necessarily(not(X1))),possibly(X2)),implies(necessarily(not(X2)),and(X0,possibly(X1))))) ).
cnf(u5032,axiom,
is_a_theorem(implies(implies(implies(X0,and(X1,not(X2))),not(X3)),implies(X3,and(X0,implies(X1,X2))))) ).
cnf(u5036,axiom,
is_a_theorem(implies(implies(not(X3),implies(X0,and(X1,not(X2)))),implies(and(X0,implies(X1,X2)),X3))) ).
cnf(u5040,axiom,
is_a_theorem(implies(implies(implies(X2,X3),implies(X0,X1)),implies(and(X0,not(X1)),and(X2,not(X3))))) ).
cnf(u5044,axiom,
is_a_theorem(implies(and(X2,implies(X0,necessarily(not(X1)))),necessarily(not(necessarily(implies(X2,and(X0,possibly(X1)))))))) ).
cnf(u5048,axiom,
is_a_theorem(implies(necessarily(implies(X0,and(X1,not(X2)))),necessarily(not(necessarily(possibly(and(X0,implies(X1,X2)))))))) ).
cnf(u5052,axiom,
is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))) ).
cnf(u5056,axiom,
is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(not(equiv(X0,X1)),implies(X2,and(X1,not(X0)))))) ).
cnf(u5060,axiom,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,and(X1,not(X0))),not(equiv(X0,X1))))) ).
cnf(u5064,axiom,
is_a_theorem(implies(and(X3,implies(X0,and(X1,not(X2)))),not(equiv(X3,and(X0,implies(X1,X2)))))) ).
cnf(u5068,axiom,
is_a_theorem(implies(and(X3,implies(X0,and(X1,not(X2)))),not(equiv(and(X0,implies(X1,X2)),X3)))) ).
cnf(u5072,axiom,
is_a_theorem(implies(equiv(implies(necessarily(not(X0)),X1),and(X1,possibly(X0))),not(equiv(necessarily(not(X0)),X1)))) ).
cnf(u5076,axiom,
is_a_theorem(implies(equiv(and(X1,possibly(X0)),implies(necessarily(not(X0)),X1)),not(equiv(necessarily(not(X0)),X1)))) ).
cnf(u5080,axiom,
not(necessarily(implies(X3,and(X0,implies(X1,X2))))) = possibly(and(X3,implies(X0,and(X1,not(X2))))) ).
cnf(u5084,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,and(necessarily(equiv(X1,X2)),X4)))) ) ).
cnf(u5088,axiom,
( ~ is_a_theorem(not(equiv(X0,necessarily(equiv(X1,X2)))))
| ~ is_a_theorem(implies(X0,necessarily(equiv(X1,X2))))
| X1 = X2 ) ).
cnf(u5092,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,and(X4,necessarily(equiv(X1,X2)))))) ) ).
cnf(u5096,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,necessarily(and(equiv(X1,X2),X4))))) ) ).
cnf(u5100,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,necessarily(and(X4,equiv(X1,X2)))))) ) ).
cnf(u5104,axiom,
is_a_theorem(implies(equiv(necessarily(not(X0)),X1),not(equiv(implies(necessarily(not(X0)),X1),and(X1,possibly(X0)))))) ).
cnf(u5108,axiom,
is_a_theorem(implies(equiv(necessarily(not(X0)),X1),not(equiv(and(X1,possibly(X0)),implies(necessarily(not(X0)),X1))))) ).
cnf(u5112,axiom,
( ~ is_a_theorem(X0)
| X1 = X2
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,implies(X0,necessarily(necessarily(necessarily(equiv(X1,X2))))))) ) ).
cnf(u5116,axiom,
is_a_theorem(implies(and(X3,implies(X0,and(X1,not(X2)))),implies(implies(X3,and(X0,implies(X1,X2))),X4))) ).
cnf(u5120,axiom,
( X0 = X1
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X3)
| ~ is_a_theorem(X4)
| ~ is_a_theorem(implies(X4,implies(X2,implies(X3,equiv(X0,X1))))) ) ).
cnf(u5124,axiom,
is_a_theorem(implies(implies(possibly(X3),implies(X0,and(X1,not(X2)))),implies(and(X0,implies(X1,X2)),necessarily(not(X3))))) ).
cnf(u5128,axiom,
is_a_theorem(implies(implies(possibly(and(X0,implies(X1,X2))),not(X3)),implies(X3,necessarily(implies(X0,and(X1,not(X2))))))) ).
cnf(u5132,axiom,
is_a_theorem(implies(implies(implies(X0,and(X1,not(X2))),possibly(X3)),implies(necessarily(not(X3)),and(X0,implies(X1,X2))))) ).
cnf(u5136,axiom,
is_a_theorem(implies(implies(not(X3),possibly(and(X0,implies(X1,X2)))),implies(necessarily(implies(X0,and(X1,not(X2)))),X3))) ).
cnf(u5140,axiom,
is_a_theorem(implies(implies(implies(X2,X3),implies(X0,necessarily(not(X1)))),implies(and(X0,possibly(X1)),and(X2,not(X3))))) ).
cnf(u5144,axiom,
is_a_theorem(implies(implies(implies(X2,and(X0,possibly(X1))),not(X3)),implies(X3,and(X2,implies(X0,necessarily(not(X1))))))) ).
cnf(u5148,axiom,
is_a_theorem(implies(implies(implies(X0,necessarily(not(X1))),implies(X2,X3)),implies(and(X2,not(X3)),and(X0,possibly(X1))))) ).
cnf(u5152,axiom,
is_a_theorem(implies(implies(not(X2),implies(X3,and(X0,possibly(X1)))),implies(and(X3,implies(X0,necessarily(not(X1)))),X2))) ).
cnf(u5156,axiom,
is_a_theorem(implies(and(X3,implies(X0,and(X1,not(X2)))),necessarily(not(necessarily(implies(X3,and(X0,implies(X1,X2)))))))) ).
cnf(u5160,axiom,
not(equiv(and(X0,not(X1)),X2)) = implies(implies(and(X0,not(X1)),X2),and(X2,implies(X0,X1))) ).
cnf(u5164,axiom,
is_a_theorem(implies(and(X3,possibly(and(X0,implies(X1,X2)))),not(equiv(X3,necessarily(implies(X0,and(X1,not(X2)))))))) ).
cnf(u5168,axiom,
is_a_theorem(implies(and(X3,possibly(and(X0,implies(X1,X2)))),not(equiv(necessarily(implies(X0,and(X1,not(X2)))),X3)))) ).
cnf(u5172,axiom,
is_a_theorem(implies(and(X2,implies(X3,and(X0,possibly(X1)))),not(equiv(X2,and(X3,implies(X0,necessarily(not(X1)))))))) ).
cnf(u5176,axiom,
is_a_theorem(implies(and(X2,implies(X3,and(X0,possibly(X1)))),not(equiv(and(X3,implies(X0,necessarily(not(X1)))),X2)))) ).
cnf(u5180,axiom,
is_a_theorem(implies(implies(and(X0,possibly(X1)),X2),implies(implies(X3,X2),implies(implies(implies(X0,necessarily(not(X1))),X3),X2)))) ).
cnf(u5184,axiom,
is_a_theorem(implies(and(X3,possibly(and(X0,implies(X1,X2)))),implies(implies(X3,necessarily(implies(X0,and(X1,not(X2))))),X4))) ).
cnf(u5188,axiom,
is_a_theorem(implies(equiv(implies(and(X0,not(X1)),X2),and(X2,implies(X0,X1))),not(equiv(and(X0,not(X1)),X2)))) ).
cnf(u5192,axiom,
is_a_theorem(implies(equiv(and(X2,implies(X0,X1)),implies(and(X0,not(X1)),X2)),not(equiv(and(X0,not(X1)),X2)))) ).
cnf(u5196,axiom,
is_a_theorem(implies(equiv(and(X0,not(X1)),X2),not(equiv(implies(and(X0,not(X1)),X2),and(X2,implies(X0,X1)))))) ).
cnf(u5200,axiom,
is_a_theorem(implies(equiv(and(X0,not(X1)),X2),not(equiv(and(X2,implies(X0,X1)),implies(and(X0,not(X1)),X2))))) ).
cnf(u5204,axiom,
is_a_theorem(implies(implies(implies(X3,X4),implies(X0,and(X1,not(X2)))),implies(and(X0,implies(X1,X2)),and(X3,not(X4))))) ).
cnf(u5208,axiom,
is_a_theorem(implies(implies(implies(X3,and(X0,implies(X1,X2))),not(X4)),implies(X4,and(X3,implies(X0,and(X1,not(X2))))))) ).
cnf(u5212,axiom,
is_a_theorem(implies(implies(implies(X0,and(X1,not(X2))),implies(X3,X4)),implies(and(X3,not(X4)),and(X0,implies(X1,X2))))) ).
cnf(u5216,axiom,
is_a_theorem(implies(implies(not(X3),implies(X4,and(X0,implies(X1,X2)))),implies(and(X4,implies(X0,and(X1,not(X2)))),X3))) ).
cnf(u5220,axiom,
not(equiv(and(X0,possibly(X1)),X2)) = implies(implies(and(X0,possibly(X1)),X2),and(X2,implies(X0,necessarily(not(X1))))) ).
cnf(u5224,axiom,
equiv(implies(X0,X1),and(X1,not(X0))) = and(not(equiv(X0,X1)),implies(and(X1,not(X0)),implies(X0,X1))) ).
cnf(u5228,axiom,
equiv(and(X1,not(X0)),implies(X0,X1)) = and(implies(and(X1,not(X0)),implies(X0,X1)),not(equiv(X0,X1))) ).
cnf(u5232,axiom,
is_a_theorem(implies(implies(possibly(X3),possibly(and(X0,implies(X1,X2)))),implies(necessarily(implies(X0,and(X1,not(X2)))),necessarily(not(X3))))) ).
cnf(u5236,axiom,
is_a_theorem(implies(implies(possibly(and(X0,implies(X1,X2))),possibly(X3)),implies(necessarily(not(X3)),necessarily(implies(X0,and(X1,not(X2))))))) ).
cnf(u5240,axiom,
is_a_theorem(implies(implies(X0,and(X1,not(not(X0)))),implies(implies(X1,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ).
cnf(u5244,axiom,
is_a_theorem(implies(and(X3,possibly(and(X0,implies(X1,X2)))),necessarily(not(necessarily(implies(X3,necessarily(implies(X0,and(X1,not(X2)))))))))) ).
cnf(u5248,axiom,
is_a_theorem(implies(and(X3,implies(X4,and(X0,implies(X1,X2)))),not(equiv(X3,and(X4,implies(X0,and(X1,not(X2)))))))) ).
cnf(u5252,axiom,
is_a_theorem(implies(and(X3,implies(X4,and(X0,implies(X1,X2)))),not(equiv(and(X4,implies(X0,and(X1,not(X2)))),X3)))) ).
cnf(u5256,axiom,
is_a_theorem(implies(implies(and(X0,implies(X1,X2)),X3),implies(implies(X4,X3),implies(implies(implies(X0,and(X1,not(X2))),X4),X3)))) ).
cnf(u5260,axiom,
is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))) ).
cnf(u5264,axiom,
is_a_theorem(implies(implies(and(X1,not(X0)),implies(X0,X1)),implies(not(equiv(X0,X1)),equiv(and(X1,not(X0)),implies(X0,X1))))) ).
cnf(u5268,axiom,
is_a_theorem(implies(equiv(implies(and(X0,possibly(X1)),X2),and(X2,implies(X0,necessarily(not(X1))))),not(equiv(and(X0,possibly(X1)),X2)))) ).
cnf(u5272,axiom,
is_a_theorem(implies(equiv(and(X2,implies(X0,necessarily(not(X1)))),implies(and(X0,possibly(X1)),X2)),not(equiv(and(X0,possibly(X1)),X2)))) ).
cnf(u5276,axiom,
is_a_theorem(implies(equiv(and(X0,possibly(X1)),X2),not(equiv(implies(and(X0,possibly(X1)),X2),and(X2,implies(X0,necessarily(not(X1)))))))) ).
cnf(u5280,axiom,
is_a_theorem(implies(equiv(and(X0,possibly(X1)),X2),not(equiv(and(X2,implies(X0,necessarily(not(X1)))),implies(and(X0,possibly(X1)),X2))))) ).
cnf(u5284,axiom,
not(equiv(implies(X0,X1),and(X1,not(X0)))) = implies(not(equiv(X0,X1)),and(and(X1,not(X0)),not(implies(X0,X1)))) ).
cnf(u5288,axiom,
is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(X2,and(X1,not(X0))),implies(implies(not(implies(X0,X1)),X2),and(X1,not(X0)))))) ).
cnf(u5292,axiom,
is_a_theorem(implies(implies(X2,and(X1,not(X0))),implies(not(equiv(X0,X1)),implies(implies(not(X2),implies(X0,X1)),and(X1,not(X0)))))) ).
cnf(u5296,axiom,
is_a_theorem(implies(implies(necessarily(not(X0)),and(X1,not(possibly(X0)))),implies(implies(X1,and(X1,not(possibly(X0)))),not(equiv(possibly(X0),X1))))) ).
cnf(u5300,axiom,
is_a_theorem(implies(implies(necessarily(implies(X0,and(X1,not(X2)))),X3),implies(implies(X4,X3),implies(implies(possibly(and(X0,implies(X1,X2))),X4),X3)))) ).
cnf(u5304,axiom,
not(equiv(and(X0,implies(X1,X2)),X3)) = implies(implies(and(X0,implies(X1,X2)),X3),and(X3,implies(X0,and(X1,not(X2))))) ).
cnf(u5308,axiom,
is_a_theorem(implies(equiv(not(equiv(X0,X1)),and(and(X1,not(X0)),not(implies(X0,X1)))),not(equiv(implies(X0,X1),and(X1,not(X0)))))) ).
cnf(u5312,axiom,
is_a_theorem(implies(equiv(and(and(X1,not(X0)),not(implies(X0,X1))),not(equiv(X0,X1))),not(equiv(implies(X0,X1),and(X1,not(X0)))))) ).
cnf(u5316,axiom,
is_a_theorem(implies(implies(not(equiv(X0,X1)),not(equiv(implies(X0,X1),and(X1,not(X0))))),not(equiv(implies(X0,X1),and(X1,not(X0)))))) ).
cnf(u5320,axiom,
is_a_theorem(implies(implies(not(equiv(X0,X1)),not(implies(and(X1,not(X0)),implies(X0,X1)))),not(equiv(and(X1,not(X0)),implies(X0,X1))))) ).
cnf(u5324,axiom,
is_a_theorem(implies(implies(implies(and(X1,not(X0)),implies(X0,X1)),not(not(equiv(X0,X1)))),not(equiv(implies(X0,X1),and(X1,not(X0)))))) ).
cnf(u5328,axiom,
is_a_theorem(implies(equiv(implies(X0,X1),and(X1,not(X0))),not(equiv(not(equiv(X0,X1)),and(and(X1,not(X0)),not(implies(X0,X1))))))) ).
cnf(u5332,axiom,
is_a_theorem(implies(equiv(implies(X0,X1),and(X1,not(X0))),not(equiv(and(and(X1,not(X0)),not(implies(X0,X1))),not(equiv(X0,X1)))))) ).
cnf(u5336,axiom,
is_a_theorem(implies(implies(necessarily(not(X2)),and(X1,not(X0))),implies(not(equiv(X0,X1)),implies(implies(possibly(X2),implies(X0,X1)),and(X1,not(X0)))))) ).
cnf(u5340,axiom,
is_a_theorem(implies(equiv(implies(and(X0,implies(X1,X2)),X3),and(X3,implies(X0,and(X1,not(X2))))),not(equiv(and(X0,implies(X1,X2)),X3)))) ).
cnf(u5344,axiom,
is_a_theorem(implies(equiv(and(X3,implies(X0,and(X1,not(X2)))),implies(and(X0,implies(X1,X2)),X3)),not(equiv(and(X0,implies(X1,X2)),X3)))) ).
cnf(u5348,axiom,
is_a_theorem(implies(equiv(and(X0,implies(X1,X2)),X3),not(equiv(implies(and(X0,implies(X1,X2)),X3),and(X3,implies(X0,and(X1,not(X2)))))))) ).
cnf(u5352,axiom,
is_a_theorem(implies(equiv(and(X0,implies(X1,X2)),X3),not(equiv(and(X3,implies(X0,and(X1,not(X2)))),implies(and(X0,implies(X1,X2)),X3))))) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL912+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n007.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 27 17:04:00 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 4.38/6.44 % (1657649)Detected formulas, will run a generic FOF schedule.
% 4.38/6.44 % (1657659)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=941985494:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.38/6.44 % (1657659)Refutation not found, incomplete strategy
% 4.38/6.44 % (1657659)------------------------------
% 4.38/6.44 % (1657659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/6.44 % (1657659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/6.44 % (1657659)CaDiCaL version: 2.1.3
% 4.38/6.44 % (1657659)Termination reason: Refutation not found, incomplete strategy
% 4.38/6.44 % (1657659)Time elapsed: 0.024 s
% 4.38/6.44 % (1657659)Peak memory usage: 90 MB
% 4.38/6.44 % (1657659)Instructions burned: 69 (million)
% 4.38/6.44 % (1657655)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=112936204:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.38/6.44 % (1657654)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=1936161417:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.38/6.44 % (1657660)dis-21_1_sil=8000:lcm=predicate:random_seed=819888603:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.38/6.44 % (1657656)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1301152186:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.38/6.44 % (1657658)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4048939669:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.38/6.44 % (1657657)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3423234486:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.38/6.44 % (1657658)Refutation not found, incomplete strategy
% 4.38/6.44 % (1657658)------------------------------
% 4.38/6.44 % (1657658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/6.44 % (1657658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/6.44 % (1657658)CaDiCaL version: 2.1.3
% 4.38/6.44 % (1657658)Termination reason: Refutation not found, incomplete strategy
% 4.38/6.44 % (1657658)Time elapsed: 0.001 s
% 4.38/6.44 % (1657657)Refutation not found, incomplete strategy
% 4.38/6.44 % (1657657)------------------------------
% 4.38/6.44 % (1657657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/6.44 % (1657658)Peak memory usage: 86 MB
% 4.38/6.44 % (1657657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/6.44 % (1657660)Refutation not found, incomplete strategy
% 4.38/6.44 % (1657660)------------------------------
% 4.38/6.44 % (1657660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/6.44 % (1657657)CaDiCaL version: 2.1.3
% 4.38/6.44 % (1657657)Termination reason: Refutation not found, incomplete strategy
% 4.38/6.44 % (1657657)Time elapsed: 0.001 s
% 4.38/6.44 % (1657660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/6.45 % (1657657)Peak memory usage: 86 MB
% 4.38/6.45 % (1657660)CaDiCaL version: 2.1.3
% 4.38/6.45 % (1657660)Termination reason: Refutation not found, incomplete strategy
% 4.38/6.45 % (1657660)Time elapsed: 0.001 s
% 4.38/6.45 % (1657660)Peak memory usage: 86 MB
% 4.38/6.45 % (1657659)------------------------------
% 4.38/6.45 % (1657659)------------------------------
% 4.38/6.45 % (1657660)------------------------------
% 4.38/6.45 % (1657660)------------------------------
% 4.38/6.45 % (1657657)------------------------------
% 4.38/6.45 % (1657657)------------------------------
% 4.38/6.45 % (1657658)------------------------------
% 4.38/6.45 % (1657658)------------------------------
% 4.38/6.45 % (1657668)lrs+10_1_sil=8000:sp=occurrence:random_seed=2010009077:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.38/6.45 % (1657668)Refutation not found, incomplete strategy
% 4.38/6.45 % (1657668)------------------------------
% 4.38/6.45 % (1657668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/6.45 % (1657668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/6.45 % (1657668)CaDiCaL version: 2.1.3
% 4.38/6.45 % (1657668)Termination reason: Refutation not found, incomplete strategy
% 6.27/6.86 % (1657668)Time elapsed: 0.0000 s
% 6.27/6.86 % (1657668)Peak memory usage: 86 MB
% 6.27/6.86 [W927 17:04:01.014297937 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014304404 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014332741 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014336304 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014373267 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014375424 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014387134 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014388321 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014413041 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014417254 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014426098 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014428014 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.27/6.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.27/6.86 [W927 17:04:01.014453551 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014453681 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014464778 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014465608 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014497518 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014498368 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014508748 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014509388 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014532968 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014533678 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014544214 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 [W927 17:04:01.014545004 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.49/7.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.49/7.29 % (1657669)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1404693609:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.49/7.29 % (1657670)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2668091830:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.49/7.29 % (1657671)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1335014282:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.49/7.29 % (1657670)Refutation not found, incomplete strategy
% 9.49/7.29 % (1657670)------------------------------
% 9.91/7.38 % (1657670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/7.38 % (1657670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/7.38 % (1657670)CaDiCaL version: 2.1.3
% 9.91/7.38 % (1657670)Termination reason: Refutation not found, incomplete strategy
% 9.91/7.38 % (1657670)Time elapsed: 0.001 s
% 9.91/7.38 % (1657670)Peak memory usage: 86 MB
% 9.91/7.38 % (1657669)Refutation not found, incomplete strategy
% 9.91/7.38 % (1657669)------------------------------
% 9.91/7.38 % (1657669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/7.38 % (1657669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/7.38 % (1657669)CaDiCaL version: 2.1.3
% 9.91/7.38 % (1657669)Termination reason: Refutation not found, incomplete strategy
% 9.91/7.38 % (1657669)Time elapsed: 0.001 s
% 9.91/7.38 % (1657669)Peak memory usage: 87 MB
% 9.91/7.38 % (1657668)------------------------------
% 9.91/7.38 % (1657668)------------------------------
% 9.91/7.38 % (1657655)Refutation not found, incomplete strategy
% 9.91/7.38 % (1657655)------------------------------
% 9.91/7.38 % (1657655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/7.38 % (1657655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/7.38 % (1657655)CaDiCaL version: 2.1.3
% 9.91/7.38 % (1657655)Termination reason: Refutation not found, incomplete strategy
% 9.91/7.38 % (1657655)Time elapsed: 0.544 s
% 9.91/7.38 % (1657655)Peak memory usage: 124 MB
% 9.91/7.38 % (1657655)Instructions burned: 822 (million)
% 9.91/7.38 % (1657671)Instruction limit reached!
% 9.91/7.38 % (1657671)------------------------------
% 9.91/7.38 % (1657671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/7.38 % (1657671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/7.38 % (1657671)CaDiCaL version: 2.1.3
% 9.91/7.38 % (1657671)Termination reason: Instruction limit
% 9.91/7.38 % (1657671)Termination phase: Saturation
% 9.91/7.38 % (1657671)Time elapsed: 0.151 s
% 9.91/7.38 % (1657671)Peak memory usage: 93 MB
% 9.91/7.38 % (1657671)Instructions burned: 248 (million)
% 9.91/7.38 % (1657656)Refutation not found, incomplete strategy
% 9.91/7.38 % (1657656)------------------------------
% 9.91/7.38 % (1657656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/7.38 % (1657656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/7.38 % (1657656)CaDiCaL version: 2.1.3
% 9.91/7.38 % (1657656)Termination reason: Refutation not found, incomplete strategy
% 9.91/7.38 % (1657656)Time elapsed: 0.562 s
% 9.91/7.38 % (1657656)Peak memory usage: 124 MB
% 9.91/7.38 % (1657656)Instructions burned: 829 (million)
% 9.91/7.38 % (1657676)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=43726598:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 9.91/7.38 % (1657676)Refutation not found, incomplete strategy
% 9.91/7.38 % (1657676)------------------------------
% 9.91/7.38 % (1657676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/7.38 % (1657676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/7.38 % (1657676)CaDiCaL version: 2.1.3
% 9.91/7.38 % (1657676)Termination reason: Refutation not found, incomplete strategy
% 9.91/7.38 % (1657676)Time elapsed: 0.001 s
% 9.91/7.38 % (1657676)Peak memory usage: 86 MB
% 9.91/7.38 % (1657669)------------------------------
% 9.91/7.38 % (1657669)------------------------------
% 9.91/7.38 % (1657670)------------------------------
% 9.91/7.38 % (1657670)------------------------------
% 9.91/7.38 % (1657655)------------------------------
% 9.91/7.38 % (1657655)------------------------------
% 9.91/7.38 % (1657677)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1664610348:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 9.91/7.38 % (1657656)------------------------------
% 9.91/7.38 % (1657656)------------------------------
% 9.91/7.38 % (1657679)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4157862776:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 9.91/7.38 % (1657680)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2971649903:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 9.91/7.38 % (1657679)Refutation not found, incomplete strategy
% 9.91/7.38 % (1657679)------------------------------
% 9.91/7.38 % (1657679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/7.82 % (1657679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/7.82 % (1657679)CaDiCaL version: 2.1.3
% 13.18/7.82 % (1657679)Termination reason: Refutation not found, incomplete strategy
% 13.18/7.82 % (1657679)Time elapsed: 0.001 s
% 13.18/7.82 % (1657679)Peak memory usage: 86 MB
% 13.18/7.82 % (1657680)Refutation not found, incomplete strategy
% 13.18/7.82 % (1657680)------------------------------
% 13.18/7.82 % (1657680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/7.82 % (1657680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/7.82 % (1657680)CaDiCaL version: 2.1.3
% 13.18/7.82 % (1657680)Termination reason: Refutation not found, incomplete strategy
% 13.18/7.82 % (1657680)Time elapsed: 0.002 s
% 13.18/7.82 % (1657680)Peak memory usage: 87 MB
% 13.18/7.82 % (1657680)Instructions burned: 1 (million)
% 13.18/7.82 % (1657681)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1441207844:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 13.18/7.82 % (1657681)Refutation not found, incomplete strategy
% 13.18/7.82 % (1657681)------------------------------
% 13.18/7.82 % (1657681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/7.82 % (1657681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/7.82 % (1657681)CaDiCaL version: 2.1.3
% 13.18/7.82 % (1657681)Termination reason: Refutation not found, incomplete strategy
% 13.18/7.82 % (1657681)Time elapsed: 0.001 s
% 13.18/7.82 % (1657681)Peak memory usage: 87 MB
% 13.18/7.82 % (1657676)------------------------------
% 13.18/7.82 % (1657676)------------------------------
% 13.18/7.82 % (1657681)------------------------------
% 13.18/7.82 % (1657681)------------------------------
% 13.18/7.82 % (1657683)lrs+10_1_sil=8000:sp=occurrence:random_seed=3944141982:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 13.18/7.82 % (1657683)Refutation not found, incomplete strategy
% 13.18/7.82 % (1657683)------------------------------
% 13.18/7.82 % (1657683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/7.82 % (1657683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/7.82 % (1657683)CaDiCaL version: 2.1.3
% 13.18/7.82 % (1657683)Termination reason: Refutation not found, incomplete strategy
% 13.18/7.82 % (1657683)Time elapsed: 0.001 s
% 13.18/7.82 % (1657683)Peak memory usage: 86 MB
% 13.18/7.82 % (1657687)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4097554258:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 13.18/7.82 % (1657687)Refutation not found, incomplete strategy
% 13.18/7.82 % (1657687)------------------------------
% 13.18/7.82 % (1657687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/7.82 % (1657687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/7.82 % (1657687)CaDiCaL version: 2.1.3
% 13.18/7.82 % (1657687)Termination reason: Refutation not found, incomplete strategy
% 13.18/7.82 % (1657687)Time elapsed: 0.001 s
% 13.18/7.82 % (1657687)Peak memory usage: 86 MB
% 13.18/7.82 % (1657680)------------------------------
% 13.18/7.82 % (1657680)------------------------------
% 13.18/7.82 % (1657679)------------------------------
% 13.18/7.82 % (1657679)------------------------------
% 13.18/7.82 % (1657689)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=961465074:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 13.18/7.82 % (1657683)------------------------------
% 13.18/7.82 % (1657683)------------------------------
% 13.18/7.82 % (1657692)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2496767910:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 13.18/7.82 % (1657691)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3389491943:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 13.18/7.82 % (1657692)Refutation not found, incomplete strategy
% 13.18/7.82 % (1657692)------------------------------
% 13.18/7.82 % (1657692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/7.82 % (1657691)Refutation not found, incomplete strategy
% 13.18/7.82 % (1657691)------------------------------
% 13.18/7.82 % (1657691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/7.82 % (1657691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/7.97 % (1657692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/7.97 % (1657692)CaDiCaL version: 2.1.3
% 13.37/7.97 % (1657691)CaDiCaL version: 2.1.3
% 13.37/7.97 % (1657691)Termination reason: Refutation not found, incomplete strategy
% 13.37/7.97 % (1657691)Time elapsed: 0.001 s
% 13.37/7.97 % (1657692)Termination reason: Refutation not found, incomplete strategy
% 13.37/7.97 % (1657692)Time elapsed: 0.001 s
% 13.37/7.97 % (1657692)Peak memory usage: 86 MB
% 13.37/7.97 % (1657691)Peak memory usage: 86 MB
% 13.37/7.97 % (1657687)------------------------------
% 13.37/7.97 % (1657687)------------------------------
% 13.37/7.97 [W927 17:04:02.975815075 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975854076 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975876901 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975883036 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975896359 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975901822 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975915368 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975922062 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975934895 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975941218 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975954366 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.37/7.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.37/7.97 [W927 17:04:02.975960681 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 17.29/8.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 17.29/8.37 % (1657696)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1192225299:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 17.29/8.37 % (1657689)Refutation not found, incomplete strategy
% 17.29/8.37 % (1657689)------------------------------
% 17.29/8.37 % (1657689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/8.37 % (1657689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/8.37 % (1657689)CaDiCaL version: 2.1.3
% 17.29/8.37 % (1657689)Termination reason: Refutation not found, incomplete strategy
% 17.29/8.37 % (1657689)Time elapsed: 0.321 s
% 17.29/8.37 % (1657689)Peak memory usage: 125 MB
% 17.29/8.37 % (1657689)Instructions burned: 824 (million)
% 17.29/8.37 % (1657697)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=412120099:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 17.29/8.37 % (1657697)Refutation not found, incomplete strategy
% 17.29/8.37 % (1657697)------------------------------
% 17.29/8.37 % (1657697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/8.37 % (1657697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/8.37 % (1657697)CaDiCaL version: 2.1.3
% 17.29/8.37 % (1657697)Termination reason: Refutation not found, incomplete strategy
% 17.29/8.37 % (1657697)Time elapsed: 0.001 s
% 17.29/8.37 % (1657697)Peak memory usage: 87 MB
% 17.29/8.37 % (1657697)Instructions burned: 1 (million)
% 17.29/8.37 % (1657692)------------------------------
% 17.29/8.37 % (1657692)------------------------------
% 17.29/8.37 % (1657691)------------------------------
% 17.29/8.37 % (1657691)------------------------------
% 17.29/8.37 % (1657689)------------------------------
% 17.29/8.37 % (1657689)------------------------------
% 17.29/8.37 % (1657700)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1387529664:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 17.29/8.37 % (1657701)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1574119246:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 17.29/8.37 % (1657701)Refutation not found, incomplete strategy
% 17.29/8.37 % (1657701)------------------------------
% 17.29/8.37 % (1657701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/8.37 % (1657701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/8.37 % (1657701)CaDiCaL version: 2.1.3
% 17.29/8.37 % (1657701)Termination reason: Refutation not found, incomplete strategy
% 17.29/8.37 % (1657701)Time elapsed: 0.001 s
% 17.29/8.37 % (1657701)Peak memory usage: 86 MB
% 17.29/8.37 % (1657697)------------------------------
% 17.29/8.37 % (1657697)------------------------------
% 17.29/8.37 % (1657700)Instruction limit reached!
% 17.29/8.37 % (1657700)------------------------------
% 17.29/8.37 % (1657700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/8.37 % (1657700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/8.37 % (1657700)CaDiCaL version: 2.1.3
% 17.29/8.37 % (1657700)Termination reason: Instruction limit
% 17.29/8.37 % (1657700)Termination phase: Saturation
% 17.29/8.37 % (1657700)Time elapsed: 0.091 s
% 17.29/8.37 % (1657700)Peak memory usage: 89 MB
% 17.29/8.37 % (1657700)Instructions burned: 134 (million)
% 17.29/8.37 % (1657702)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4053895329:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 17.29/8.37 % (1657702)Refutation not found, incomplete strategy
% 17.29/8.37 % (1657702)------------------------------
% 17.29/8.37 % (1657702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/8.37 % (1657702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/8.37 % (1657702)CaDiCaL version: 2.1.3
% 17.29/8.37 % (1657702)Termination reason: Refutation not found, incomplete strategy
% 17.29/8.37 % (1657702)Time elapsed: 0.0000 s
% 17.29/8.37 % (1657702)Peak memory usage: 86 MB
% 17.29/8.37 [W927 17:04:03.418467890 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418516233 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418554450 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418565827 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418590120 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418600233 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418625240 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418635357 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418658883 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418669077 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418693337 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 [W927 17:04:03.418760887 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.82 % (1657705)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=743291619:i=6060:aac=none:ins=25_2981 on theBenchmark for (2981ds/6060Mi)
% 19.79/8.82 % (1657701)------------------------------
% 19.79/8.82 % (1657701)------------------------------
% 19.79/8.82 % (1657702)------------------------------
% 19.79/8.82 % (1657702)------------------------------
% 19.79/8.82 % (1657706)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3225115795:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2980 on theBenchmark for (2980ds/150Mi)
% 19.79/8.86 % (1657696)Refutation not found, incomplete strategy
% 19.79/8.86 % (1657696)------------------------------
% 19.79/8.86 % (1657696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/8.86 % (1657696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/8.86 % (1657696)CaDiCaL version: 2.1.3
% 19.79/8.86 % (1657696)Termination reason: Refutation not found, incomplete strategy
% 19.79/8.86 % (1657696)Time elapsed: 0.556 s
% 19.79/8.86 % (1657696)Peak memory usage: 125 MB
% 19.79/8.86 % (1657696)Instructions burned: 823 (million)
% 19.79/8.86 % (1657706)Instruction limit reached!
% 19.79/8.86 % (1657706)------------------------------
% 19.79/8.86 % (1657706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/8.86 % (1657706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/8.86 % (1657706)CaDiCaL version: 2.1.3
% 19.79/8.86 % (1657706)Termination reason: Instruction limit
% 19.79/8.86 % (1657706)Termination phase: Saturation
% 19.79/8.86 % (1657706)Time elapsed: 0.096 s
% 19.79/8.86 % (1657706)Peak memory usage: 91 MB
% 19.79/8.86 % (1657706)Instructions burned: 151 (million)
% 19.79/8.86 % (1657711)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2863199639:i=667:av=off:fsr=off_2978 on theBenchmark for (2978ds/667Mi)
% 19.79/8.86 % (1657709)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2138581251:i=14155:bd=all_2979 on theBenchmark for (2979ds/14155Mi)
% 19.79/8.86 % (1657711)Refutation not found, incomplete strategy
% 19.79/8.86 % (1657711)------------------------------
% 19.79/8.86 % (1657711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/8.86 % (1657711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/8.86 % (1657711)CaDiCaL version: 2.1.3
% 19.79/8.86 % (1657711)Termination reason: Refutation not found, incomplete strategy
% 19.79/8.86 % (1657711)Time elapsed: 0.001 s
% 19.79/8.86 % (1657711)Peak memory usage: 87 MB
% 19.79/8.86 % (1657711)Instructions burned: 1 (million)
% 19.79/8.86 % (1657712)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3569092465:s2a=on:i=185:s2at=1.8:fdi=4_2977 on theBenchmark for (2977ds/185Mi)
% 19.79/8.86 % (1657696)------------------------------
% 19.79/8.86 % (1657696)------------------------------
% 19.79/8.86 % (1657711)------------------------------
% 19.79/8.86 % (1657711)------------------------------
% 19.79/8.86 % (1657677)Instruction limit reached!
% 19.79/8.86 % (1657677)------------------------------
% 19.79/8.86 % (1657677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/8.86 % (1657677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/8.86 % (1657677)CaDiCaL version: 2.1.3
% 19.79/8.86 % (1657677)Termination reason: Instruction limit
% 19.79/8.86 % (1657677)Termination phase: Saturation
% 19.79/8.86 % (1657677)Time elapsed: 1.516 s
% 19.79/8.86 % (1657677)Peak memory usage: 142 MB
% 19.79/8.86 % (1657677)Instructions burned: 2350 (million)
% 19.79/8.86 % (1657712)Instruction limit reached!
% 19.79/8.86 % (1657712)------------------------------
% 19.79/8.86 % (1657712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/8.86 % (1657712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/8.86 % (1657712)CaDiCaL version: 2.1.3
% 19.79/8.86 % (1657712)Termination reason: Instruction limit
% 19.79/8.86 % (1657712)Termination phase: Saturation
% 19.79/8.86 % (1657712)Time elapsed: 0.120 s
% 19.79/8.86 % (1657712)Peak memory usage: 91 MB
% 19.79/8.86 % (1657712)Instructions burned: 186 (million)
% 19.79/8.86 % (1657716)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=768986645:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2976 on theBenchmark for (2976ds/193Mi)
% 19.79/8.86 % (1657716)Refutation not found, incomplete strategy
% 19.79/8.86 % (1657716)------------------------------
% 19.79/8.86 % (1657716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/8.86 % (1657716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/8.86 % (1657716)CaDiCaL version: 2.1.3
% 19.79/8.86 % (1657716)Termination reason: Refutation not found, incomplete strategy
% 19.79/8.86 % (1657716)Time elapsed: 0.0000 s
% 19.79/8.86 % (1657716)Peak memory usage: 86 MB
% 19.79/8.86 % (1657717)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2806939164:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2976 on theBenchmark for (2976ds/4850Mi)
% 19.79/8.86 % (1657717)Refutation not found, incomplete strategy
% 19.79/8.86 % (1657717)------------------------------
% 19.79/8.86 % (1657717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/8.86 % (1657717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/8.86 % (1657717)CaDiCaL version: 2.1.3
% 19.79/8.86 % (1657717)Termination reason: Refutation not found, incomplete strategy
% 19.79/8.86 % (1657717)Time elapsed: 0.001 s
% 19.79/8.86 % (1657717)Peak memory usage: 86 MB
% 19.79/8.86 % (1657718)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=532909086:i=12111:sd=1:ss=included_2975 on theBenchmark for (2975ds/12111Mi)
% 19.79/8.86 % (1657716)------------------------------
% 19.79/8.86 % (1657716)------------------------------
% 19.79/8.86 % (1657720)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2969929821:i=319:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/319Mi)
% 19.79/8.86 % (1657720)First to succeed.
% 19.79/8.86 % (1657720)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1657649"
% 19.79/8.86 % (1657717)------------------------------
% 19.79/8.86 % (1657717)------------------------------
% 19.79/8.86 % (1657724)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2548927747:i=2064:ep=RST_2973 on theBenchmark for (2973ds/2064Mi)
% 19.79/8.86 % (1657724)Refutation not found, incomplete strategy
% 19.79/8.86 % (1657724)------------------------------
% 19.79/8.86 % (1657724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/8.86 % (1657724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/8.86 % (1657724)CaDiCaL version: 2.1.3
% 19.79/8.86 % (1657724)Termination reason: Refutation not found, incomplete strategy
% 19.79/8.86 % (1657724)Time elapsed: 0.001 s
% 19.79/8.86 % (1657724)Peak memory usage: 88 MB
% 19.79/8.86 % (1657724)Instructions burned: 1 (million)
% 19.79/8.86 % (1657724)------------------------------
% 19.79/8.86 % (1657724)------------------------------
% 19.79/8.86 [W927 17:04:04.415363189 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415409139 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415449282 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415467835 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415493865 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415505442 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415532059 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415543399 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415574252 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415584695 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415608872 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 [W927 17:04:04.415618966 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.79/8.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.79/8.86 % SZS status Satisfiable for theBenchmark
% 19.79/8.86 % SZS output start Saturation.
% See solution above
% 21.57/8.96 % SZS output start Definitions and Model Updates.
% 21.57/8.96 for all inputs,
% 21.57/8.96 define op_and := $false
% 21.57/8.96 for all inputs,
% 21.57/8.96 define op_implies_or := $false
% 21.57/8.96 for all inputs,
% 21.57/8.96 define op_necessarily := $false
% 21.57/8.96 for all inputs,
% 21.57/8.96 define op_strict_implies := $false
% 21.57/8.96 for all inputs,
% 21.57/8.96 define op_strict_equiv := $false
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(implies(X0,X1))) => is_a_theorem(X1)) is true, set modus_ponens to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : (is_a_theorem(equiv(X0,X1)) => X0 = X1) is true, set substitution_of_equivalents to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) is true, set modus_tollens to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) is true, set implies_1 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) is true, set implies_2 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) is true, set implies_3 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) is true, set and_1 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) is true, set and_2 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) is true, set and_3 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) is true, set or_1 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) is true, set or_2 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) is true, set or_3 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) is true, set equivalence_1 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) is true, set equivalence_2 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) is true, set equivalence_3 to true
% 21.57/8.96 for all inputs,
% 21.57/8.96 define kn1 := ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define kn2 := ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define kn3 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define cn1 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define cn2 := ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define cn3 := ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define r1 := ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define r2 := ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define r3 := ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define r4 := ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define r5 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0] : (is_a_theorem(X0) => is_a_theorem(necessarily(X0))) is true, set necessitation to true
% 21.57/8.96 for all inputs,
% 21.57/8.96 define modus_ponens_strict_implies := ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(strict_implies(X0,X1))) => is_a_theorem(X1))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define adjunction := ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(X1)) => is_a_theorem(and(X0,X1)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define substitution_strict_equiv := ! [X0,X1] : (is_a_theorem(strict_equiv(X0,X1)) => X0 = X1)
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) is true, set axiom_K to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) is true, set axiom_M to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) is true, set axiom_4 to true
% 21.57/8.96 for all groundings,
% 21.57/8.96 whenever ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) is true, set axiom_B to true
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_5 := ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_s1 := ! [X0,X1,X2] : is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_s2 := ! [X0,X1] : is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_s3 := ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0)))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_s4 := ! [X0] : is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m1 := ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m2 := ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m3 := ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m4 := ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m5 := ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m6 := ! [X0] : is_a_theorem(strict_implies(X0,possibly(X0)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m7 := ! [X0,X1] : is_a_theorem(strict_implies(possibly(and(X0,X1)),X0))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m8 := ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1))))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m9 := ! [X0] : is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))
% 21.57/8.96 for all inputs,
% 21.57/8.96 define axiom_m10 := ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
% 21.57/8.96 % SZS output end Definitions and Model Updates.
% 21.57/8.96 % (1657720)------------------------------
% 21.57/8.96 % (1657720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.57/8.96 % (1657720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/8.96 % (1657720)CaDiCaL version: 2.1.3
% 21.57/8.96 % (1657720)Termination reason: Satisfiable
% 21.57/8.96 % (1657720)Time elapsed: 0.071 s
% 21.57/8.96 % (1657720)Peak memory usage: 90 MB
% 21.57/8.96 % (1657720)Instructions burned: 119 (million)
% 21.57/8.96 % (1657720)------------------------------
% 21.57/8.96 % (1657720)------------------------------
% 21.57/8.96 % (1657649)Success in time 2.991 s
% 21.57/8.96 % Vampire exiting
%------------------------------------------------------------------------------