%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL910+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 : n017.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 12.26s 2.75s
% Output : Saturation 13.97s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u420,axiom,
is_a_theorem(X1) ).
cnf(u295,axiom,
( is_a_theorem(not(and(not(or(X1,X2)),X0)))
| ~ is_a_theorem(implies(X0,equiv(not(X1),X2))) ) ).
cnf(u228,axiom,
is_a_theorem(implies(implies(X3,X4),implies(implies(X4,and(X0,implies(X1,X2))),not(and(implies(X0,and(X1,not(X2))),X3))))) ).
cnf(u404,axiom,
( ~ is_a_theorem(or(X1,X0))
| ~ is_a_theorem(not(X0))
| is_a_theorem(implies(X2,X1)) ) ).
cnf(u367,axiom,
( is_a_theorem(not(and(not(not(not(X1))),X0)))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u75,axiom,
is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ).
cnf(u135,axiom,
equiv(not(X0),X1) = and(or(X0,X1),implies(X1,not(X0))) ).
cnf(u66,axiom,
op_equiv ).
cnf(u521,axiom,
( is_a_theorem(not(not(and(X0,X0))))
| ~ is_a_theorem(X0) ) ).
cnf(u313,axiom,
( ~ is_a_theorem(equiv(implies(X0,and(X1,not(X2))),X3))
| is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ) ).
cnf(u147,axiom,
is_a_theorem(implies(or(X2,implies(X0,X1)),or(equiv(X0,X1),implies(implies(X1,X0),X2)))) ).
cnf(u138,axiom,
is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ).
cnf(u373,axiom,
( ~ is_a_theorem(and(X0,not(X1)))
| is_a_theorem(not(implies(X0,X1))) ) ).
cnf(u257,axiom,
is_a_theorem(implies(or(X2,not(equiv(X0,X1))),or(equiv(implies(X0,X1),and(X1,not(X0))),implies(implies(and(X1,not(X0)),implies(X0,X1)),X2)))) ).
cnf(u198,axiom,
equiv(not(X1),not(X0)) = and(or(X1,not(X0)),or(X0,not(X1))) ).
cnf(u502,axiom,
( is_a_theorem(or(implies(X0,X1),X2))
| ~ is_a_theorem(equiv(X0,X1)) ) ).
cnf(u81,axiom,
( is_a_theorem(and(X0,X0))
| ~ is_a_theorem(X0) ) ).
cnf(u97,axiom,
( is_a_theorem(or(and(X1,X2),implies(X2,X0)))
| ~ is_a_theorem(or(X0,X1)) ) ).
cnf(u153,axiom,
( is_a_theorem(equiv(not(X0),not(X0)))
| ~ is_a_theorem(or(X0,not(X0))) ) ).
cnf(u348,axiom,
is_a_theorem(or(or(X0,X1),and(not(X0),not(X1)))) ).
cnf(u524,axiom,
( is_a_theorem(implies(or(X0,X0),X1))
| ~ is_a_theorem(not(X0)) ) ).
cnf(u216,axiom,
not(equiv(not(X0),X1)) = implies(or(X0,X1),and(X1,not(not(X0)))) ).
cnf(u392,axiom,
( is_a_theorem(not(equiv(not(X0),X1)))
| ~ is_a_theorem(not(or(X0,X1))) ) ).
cnf(u387,axiom,
( ~ is_a_theorem(not(or(and(X0,X1),not(and(X1,X2)))))
| is_a_theorem(not(implies(X2,X0))) ) ).
cnf(u415,axiom,
( is_a_theorem(not(and(not(X1),X0)))
| ~ is_a_theorem(not(X0)) ) ).
cnf(u70,axiom,
kn3 ).
cnf(u374,axiom,
( is_a_theorem(not(implies(X0,and(X1,not(X2)))))
| ~ is_a_theorem(and(X0,implies(X1,X2))) ) ).
cnf(u142,axiom,
( ~ is_a_theorem(equiv(X0,X1))
| is_a_theorem(implies(X0,X1)) ) ).
cnf(u361,axiom,
is_a_theorem(implies(X0,not(not(X0)))) ).
cnf(u85,axiom,
or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2) ).
cnf(u106,axiom,
is_a_theorem(implies(implies(implies(X0,X1),X2),or(and(X2,X3),implies(X3,and(X0,not(X1)))))) ).
cnf(u493,axiom,
( is_a_theorem(or(not(not(X0)),X1))
| ~ is_a_theorem(X0) ) ).
cnf(u399,axiom,
( ~ is_a_theorem(not(or(equiv(X0,X1),implies(implies(X1,X0),X2))))
| is_a_theorem(not(or(X2,implies(X0,X1)))) ) ).
cnf(u148,axiom,
( is_a_theorem(or(equiv(X0,X1),implies(implies(X1,X0),X2)))
| ~ is_a_theorem(or(X2,implies(X0,X1))) ) ).
cnf(u324,axiom,
( ~ is_a_theorem(or(X0,and(X1,X2)))
| is_a_theorem(or(X1,X0)) ) ).
cnf(u336,axiom,
is_a_theorem(or(implies(X0,and(X1,not(X2))),and(X0,implies(X1,X2)))) ).
cnf(u287,axiom,
( is_a_theorem(not(and(not(and(X1,X1)),X0)))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u396,axiom,
( ~ is_a_theorem(not(implies(implies(X0,X1),or(X1,X2))))
| is_a_theorem(not(or(X2,X0))) ) ).
cnf(u331,axiom,
is_a_theorem(or(implies(X0,X1),and(X0,not(X1)))) ).
cnf(u513,axiom,
( is_a_theorem(implies(implies(X1,X0),X2))
| ~ is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u391,axiom,
( ~ is_a_theorem(not(implies(X0,X1)))
| is_a_theorem(not(equiv(X0,X1))) ) ).
cnf(u183,axiom,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(not(and(not(X2),X0))) ) ).
cnf(u442,axiom,
( ~ is_a_theorem(implies(and(X0,not(X1)),implies(X0,X1)))
| is_a_theorem(not(not(implies(X0,X1)))) ) ).
cnf(u445,axiom,
( is_a_theorem(or(X0,X1))
| ~ is_a_theorem(X0) ) ).
cnf(u227,axiom,
implies(implies(X3,and(X0,implies(X1,X2))),X4) = or(and(X3,implies(X0,and(X1,not(X2)))),X4) ).
cnf(u290,axiom,
( is_a_theorem(not(and(not(or(and(X2,X3),not(and(X3,X1)))),X0)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ) ).
cnf(u293,axiom,
( is_a_theorem(not(and(not(equiv(X1,X1)),X0)))
| ~ is_a_theorem(implies(X0,implies(X1,X1))) ) ).
cnf(u305,axiom,
( is_a_theorem(not(and(not(equiv(not(X1),not(X1))),X0)))
| ~ is_a_theorem(implies(X0,or(X1,not(X1)))) ) ).
cnf(u246,axiom,
( ~ is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(and(X1,not(X0))) ) ).
cnf(u365,axiom,
( ~ is_a_theorem(implies(implies(X0,X1),not(X2)))
| is_a_theorem(implies(X2,and(X0,not(X1)))) ) ).
cnf(u436,axiom,
( ~ is_a_theorem(implies(implies(X0,X1),and(X0,not(X1))))
| is_a_theorem(not(implies(X0,X1))) ) ).
cnf(u466,axiom,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(or(X1,X2)) ) ).
cnf(u409,axiom,
( is_a_theorem(implies(X0,and(X1,not(X2))))
| ~ is_a_theorem(not(X0)) ) ).
cnf(u73,axiom,
implies(X0,X1) = not(and(X0,not(X1))) ).
cnf(u205,axiom,
( is_a_theorem(or(equiv(not(X0),X1),not(and(implies(X1,not(X0)),X2))))
| ~ is_a_theorem(implies(X2,or(X0,X1))) ) ).
cnf(u136,axiom,
equiv(X1,not(X0)) = and(implies(X1,not(X0)),or(X0,X1)) ).
cnf(u500,axiom,
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(or(not(and(not(X1),X2)),X3))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u99,axiom,
is_a_theorem(implies(or(X1,X2),implies(implies(X2,X0),or(X0,X1)))) ).
cnf(u507,axiom,
( is_a_theorem(or(implies(implies(X1,X2),or(X2,X0)),X3))
| ~ is_a_theorem(or(X0,X1)) ) ).
cnf(u203,axiom,
is_a_theorem(implies(implies(X2,or(X0,X1)),or(equiv(not(X0),X1),not(and(implies(X1,not(X0)),X2))))) ).
cnf(u231,axiom,
equiv(implies(X0,and(X1,not(X2))),X3) = and(or(and(X0,implies(X1,X2)),X3),implies(X3,implies(X0,and(X1,not(X2))))) ).
cnf(u294,axiom,
( is_a_theorem(not(and(not(implies(X1,X2)),X0)))
| ~ is_a_theorem(implies(X0,equiv(X1,X2))) ) ).
cnf(u162,axiom,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(or(X2,and(X3,X0)))
| ~ is_a_theorem(or(X1,X3)) ) ).
cnf(u190,axiom,
( is_a_theorem(not(and(implies(X1,X0),X2)))
| ~ is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(implies(X2,implies(X0,X1))) ) ).
cnf(u309,axiom,
is_a_theorem(implies(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),implies(X0,and(X1,not(X2)))))) ).
cnf(u398,axiom,
( ~ is_a_theorem(not(equiv(not(X0),not(X0))))
| is_a_theorem(not(or(X0,not(X0)))) ) ).
cnf(u341,axiom,
( is_a_theorem(not(and(and(X0,not(X1)),X2)))
| ~ is_a_theorem(implies(X2,implies(X0,X1))) ) ).
cnf(u77,axiom,
is_a_theorem(implies(X0,and(X0,X0))) ).
cnf(u68,axiom,
kn1 ).
cnf(u80,axiom,
or(X0,X1) = implies(not(X0),X1) ).
cnf(u256,axiom,
is_a_theorem(implies(equiv(implies(X0,X1),and(X1,not(X0))),not(equiv(X0,X1)))) ).
cnf(u370,axiom,
is_a_theorem(implies(and(X0,implies(X1,X2)),not(implies(X0,and(X1,not(X2)))))) ).
cnf(u416,axiom,
( ~ is_a_theorem(not(not(X0)))
| is_a_theorem(or(X0,X1)) ) ).
cnf(u444,axiom,
( ~ is_a_theorem(or(X0,not(not(X0))))
| is_a_theorem(not(not(not(not(X0))))) ) ).
cnf(u379,axiom,
( is_a_theorem(implies(equiv(X0,X1),and(X2,implies(X0,X1))))
| ~ is_a_theorem(implies(implies(X1,X0),X2)) ) ).
cnf(u511,axiom,
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(X0))
| is_a_theorem(or(X1,X2)) ) ).
cnf(u270,axiom,
is_a_theorem(implies(implies(implies(X1,X0),implies(X1,X0)),or(equiv(X1,X0),not(equiv(X0,X1))))) ).
cnf(u282,axiom,
( ~ is_a_theorem(or(X2,implies(X0,X1)))
| ~ is_a_theorem(not(equiv(X0,X1)))
| is_a_theorem(implies(implies(X1,X0),X2)) ) ).
cnf(u342,axiom,
( ~ is_a_theorem(implies(X3,implies(X0,and(X1,not(X2)))))
| is_a_theorem(not(and(and(X0,implies(X1,X2)),X3))) ) ).
cnf(u285,axiom,
( ~ is_a_theorem(implies(X0,and(X1,not(X2))))
| ~ is_a_theorem(or(X3,X0))
| is_a_theorem(implies(implies(X1,X2),X3)) ) ).
cnf(u291,axiom,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(not(and(not(or(X2,X3)),X0)))
| ~ is_a_theorem(or(X3,X1)) ) ).
cnf(u386,axiom,
( ~ is_a_theorem(not(implies(implies(X0,X1),not(and(not(X1),X2)))))
| is_a_theorem(not(implies(X2,X0))) ) ).
cnf(u389,axiom,
( ~ is_a_theorem(not(not(and(not(X0),X1))))
| is_a_theorem(not(implies(X2,X0)))
| ~ is_a_theorem(implies(X1,X2)) ) ).
cnf(u461,axiom,
( is_a_theorem(or(X0,X1))
| ~ is_a_theorem(X1) ) ).
cnf(u316,axiom,
is_a_theorem(not(and(not(X0),and(and(X0,X1),X2)))) ).
cnf(u184,axiom,
( is_a_theorem(implies(or(X0,X1),not(and(not(X1),X2))))
| ~ is_a_theorem(implies(X2,not(X0))) ) ).
cnf(u84,axiom,
implies(X2,and(X0,not(X1))) = not(and(X2,implies(X0,X1))) ).
cnf(u244,axiom,
equiv(and(X1,not(X0)),implies(X0,X1)) = and(implies(and(X1,not(X0)),implies(X0,X1)),not(equiv(X0,X1))) ).
cnf(u355,axiom,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(X1))
| is_a_theorem(not(X0)) ) ).
cnf(u383,axiom,
( ~ is_a_theorem(not(and(X0,X0)))
| is_a_theorem(not(X0)) ) ).
cnf(u492,axiom,
( is_a_theorem(or(and(X0,X0),X1))
| ~ is_a_theorem(X0) ) ).
cnf(u79,axiom,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ) ).
cnf(u91,axiom,
is_a_theorem(implies(implies(X2,X0),or(and(X0,X1),not(and(X1,X2))))) ).
cnf(u195,axiom,
is_a_theorem(implies(or(X2,implies(X1,not(X0))),or(equiv(X1,not(X0)),implies(or(X0,X1),X2)))) ).
cnf(u82,axiom,
is_a_theorem(or(X0,and(not(X0),not(X0)))) ).
cnf(u214,axiom,
not(and(X2,or(X0,X1))) = implies(X2,and(not(X0),not(X1))) ).
cnf(u390,axiom,
( ~ is_a_theorem(not(equiv(X0,X0)))
| is_a_theorem(not(implies(X0,X0))) ) ).
cnf(u333,axiom,
( is_a_theorem(or(X1,not(X0)))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u125,axiom,
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(or(X2,X0)) ) ).
cnf(u505,axiom,
( ~ is_a_theorem(and(X0,X1))
| is_a_theorem(or(and(X2,X0),X3))
| ~ is_a_theorem(implies(X1,X2)) ) ).
cnf(u449,axiom,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0)
| is_a_theorem(or(X2,X0)) ) ).
cnf(u292,axiom,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(not(and(not(not(and(not(X2),X3))),X0)))
| ~ is_a_theorem(implies(X3,X1)) ) ).
cnf(u364,axiom,
( ~ is_a_theorem(or(X3,implies(X0,and(X1,not(X2)))))
| is_a_theorem(implies(and(X0,implies(X1,X2)),X3)) ) ).
cnf(u299,axiom,
( is_a_theorem(not(and(not(implies(or(X2,X3),or(X3,X1))),X0)))
| ~ is_a_theorem(implies(X0,or(X1,not(X2)))) ) ).
cnf(u232,axiom,
is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3))) ).
cnf(u408,axiom,
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(X0)) ) ).
cnf(u359,axiom,
( ~ is_a_theorem(or(X0,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(or(X2,X1)) ) ).
cnf(u410,axiom,
( is_a_theorem(equiv(X0,X0))
| ~ is_a_theorem(not(X0)) ) ).
cnf(u170,axiom,
is_a_theorem(implies(or(X2,not(X3)),implies(or(X3,and(X0,not(X1))),implies(implies(X0,X1),X2)))) ).
cnf(u67,axiom,
modus_ponens ).
cnf(u362,axiom,
( is_a_theorem(implies(and(X0,X1),and(X2,X0)))
| ~ is_a_theorem(implies(X1,X2)) ) ).
cnf(u86,axiom,
( ~ is_a_theorem(and(X0,X1))
| is_a_theorem(X0) ) ).
cnf(u377,axiom,
( ~ is_a_theorem(implies(X2,and(X3,X0)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(not(and(not(and(X1,X3)),X2))) ) ).
cnf(u437,axiom,
( ~ is_a_theorem(or(X0,X0))
| is_a_theorem(not(not(X0))) ) ).
cnf(u101,axiom,
is_a_theorem(implies(or(X2,not(X0)),implies(or(X0,X1),or(X1,X2)))) ).
cnf(u509,axiom,
( is_a_theorem(or(equiv(not(X0),not(X0)),X1))
| ~ is_a_theorem(or(X0,not(X0))) ) ).
cnf(u506,axiom,
( is_a_theorem(or(or(and(X1,X2),implies(X2,X0)),X3))
| ~ is_a_theorem(or(X0,X1)) ) ).
cnf(u145,axiom,
( is_a_theorem(or(equiv(X0,X1),not(and(implies(X1,X0),X2))))
| ~ is_a_theorem(implies(X2,implies(X0,X1))) ) ).
cnf(u283,axiom,
( is_a_theorem(implies(implies(X1,not(X0)),X2))
| ~ is_a_theorem(or(X2,or(X0,X1)))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ) ).
cnf(u217,axiom,
( ~ is_a_theorem(implies(X0,and(X1,not(X2))))
| is_a_theorem(not(and(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(X3,X0)) ) ).
cnf(u104,axiom,
is_a_theorem(implies(or(X2,X3),implies(implies(X3,and(X0,not(X1))),implies(implies(X0,X1),X2)))) ).
cnf(u280,axiom,
is_a_theorem(or(equiv(X0,X1),implies(implies(and(X1,not(X0)),X2),or(X2,and(X0,not(X1)))))) ).
cnf(u240,axiom,
not(equiv(and(X0,not(X1)),X2)) = implies(implies(and(X0,not(X1)),X2),and(X2,implies(X0,X1))) ).
cnf(u164,axiom,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(or(X3,and(X0,not(X1)))) ) ).
cnf(u340,axiom,
is_a_theorem(not(and(X0,and(not(X0),X1)))) ).
cnf(u275,axiom,
is_a_theorem(or(equiv(X0,X1),or(and(and(X1,not(X0)),X2),implies(X2,and(X0,not(X1)))))) ).
cnf(u229,axiom,
is_a_theorem(implies(or(X3,implies(X0,and(X1,not(X2)))),implies(or(and(X0,implies(X1,X2)),X4),or(X4,X3)))) ).
cnf(u456,axiom,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0)
| is_a_theorem(not(and(not(X0),X1))) ) ).
cnf(u71,axiom,
substitution_of_equivalents ).
cnf(u451,axiom,
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ) ).
cnf(u243,axiom,
equiv(implies(X0,X1),and(X1,not(X0))) = and(not(equiv(X0,X1)),implies(and(X1,not(X0)),implies(X0,X1))) ).
cnf(u100,axiom,
( is_a_theorem(implies(implies(X1,X2),or(X2,X0)))
| ~ is_a_theorem(or(X0,X1)) ) ).
cnf(u378,axiom,
( ~ is_a_theorem(and(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(and(X1,X2)) ) ).
cnf(u438,axiom,
( ~ is_a_theorem(implies(X0,not(X0)))
| is_a_theorem(not(not(not(X0)))) ) ).
cnf(u381,axiom,
( is_a_theorem(implies(and(implies(X1,X0),X2),equiv(X0,X1)))
| ~ is_a_theorem(implies(X2,implies(X0,X1))) ) ).
cnf(u206,axiom,
( is_a_theorem(or(and(X2,or(X0,X1)),not(equiv(not(X0),X1))))
| ~ is_a_theorem(implies(implies(X1,not(X0)),X2)) ) ).
cnf(u89,axiom,
is_a_theorem(implies(implies(X2,X0),implies(implies(X0,X1),not(and(not(X1),X2))))) ).
cnf(u497,axiom,
( is_a_theorem(or(implies(implies(X1,X2),not(and(not(X2),X0))),X3))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u193,axiom,
is_a_theorem(implies(or(X2,or(X0,X1)),or(equiv(not(X0),X1),implies(implies(X1,not(X0)),X2)))) ).
cnf(u338,axiom,
( ~ is_a_theorem(not(implies(X0,and(X1,not(X2)))))
| is_a_theorem(and(X0,implies(X1,X2))) ) ).
cnf(u152,axiom,
is_a_theorem(implies(equiv(not(X0),X1),or(X0,X1))) ).
cnf(u328,axiom,
is_a_theorem(not(and(implies(X0,and(X1,not(X2))),and(X0,implies(X1,X2))))) ).
cnf(u388,axiom,
( ~ is_a_theorem(not(or(X0,X1)))
| is_a_theorem(not(implies(X2,X0)))
| ~ is_a_theorem(or(X1,X2)) ) ).
cnf(u323,axiom,
( is_a_theorem(or(X1,and(X0,not(X1))))
| ~ is_a_theorem(not(equiv(X0,X1))) ) ).
cnf(u351,axiom,
is_a_theorem(or(implies(X3,and(X0,implies(X1,X2))),and(X3,implies(X0,and(X1,not(X2)))))) ).
cnf(u460,axiom,
( ~ is_a_theorem(and(X0,X1))
| is_a_theorem(not(and(not(X0),X2))) ) ).
cnf(u175,axiom,
is_a_theorem(implies(implies(X2,not(X0)),implies(or(X0,X1),not(and(not(X1),X2))))) ).
cnf(u518,axiom,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0)
| is_a_theorem(or(X2,and(X0,X0))) ) ).
cnf(u219,axiom,
( is_a_theorem(or(and(X3,X0),implies(X0,and(X1,not(X2)))))
| ~ is_a_theorem(implies(implies(X1,X2),X3)) ) ).
cnf(u259,axiom,
is_a_theorem(implies(or(X2,implies(and(X1,not(X0)),implies(X0,X1))),or(equiv(and(X1,not(X0)),implies(X0,X1)),or(equiv(X0,X1),X2)))) ).
cnf(u78,axiom,
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ) ).
cnf(u297,axiom,
( is_a_theorem(not(and(not(or(and(X2,X3),implies(X3,X1))),X0)))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ) ).
cnf(u165,axiom,
( ~ is_a_theorem(or(and(X0,X1),X2))
| is_a_theorem(or(X2,and(X3,X0)))
| ~ is_a_theorem(implies(X1,X3)) ) ).
cnf(u414,axiom,
( is_a_theorem(not(and(X1,X0)))
| ~ is_a_theorem(not(X0)) ) ).
cnf(u357,axiom,
( is_a_theorem(or(X3,implies(X0,and(X1,not(X2)))))
| ~ is_a_theorem(implies(and(X0,implies(X1,X2)),X3)) ) ).
cnf(u369,axiom,
is_a_theorem(implies(and(X0,not(X1)),not(implies(X0,X1)))) ).
cnf(u65,axiom,
op_implies_and ).
cnf(u137,axiom,
( ~ is_a_theorem(implies(X0,X0))
| is_a_theorem(equiv(X0,X0)) ) ).
cnf(u156,axiom,
( ~ is_a_theorem(equiv(not(X0),X1))
| is_a_theorem(or(X0,X1)) ) ).
cnf(u332,axiom,
is_a_theorem(or(not(X0),X0)) ).
cnf(u504,axiom,
( ~ is_a_theorem(and(X0,X1))
| is_a_theorem(or(X0,X2)) ) ).
cnf(u327,axiom,
is_a_theorem(not(and(implies(X0,X1),and(X0,not(X1))))) ).
cnf(u499,axiom,
( ~ is_a_theorem(or(X2,X0))
| is_a_theorem(or(or(X1,X2),X3))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u163,axiom,
( ~ is_a_theorem(implies(and(not(X0),not(X0)),X1))
| is_a_theorem(or(X1,X0)) ) ).
cnf(u235,axiom,
( is_a_theorem(implies(implies(X3,X0),or(X0,and(X1,not(X2)))))
| ~ is_a_theorem(implies(implies(X1,X2),X3)) ) ).
cnf(u298,axiom,
( is_a_theorem(not(and(not(implies(implies(X2,X3),or(X3,X1))),X0)))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ) ).
cnf(u358,axiom,
( ~ is_a_theorem(implies(X2,and(X0,not(X1))))
| is_a_theorem(implies(implies(X0,X1),not(X2))) ) ).
cnf(u301,axiom,
( ~ is_a_theorem(implies(X2,not(X0)))
| ~ is_a_theorem(or(X0,X1))
| is_a_theorem(not(and(not(X1),X2))) ) ).
cnf(u226,axiom,
is_a_theorem(or(and(X0,implies(X1,X2)),and(implies(X0,and(X1,not(X2))),implies(X0,and(X1,not(X2)))))) ).
cnf(u402,axiom,
( ~ is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(not(implies(X0,X1))) ) ).
cnf(u345,axiom,
( is_a_theorem(implies(and(not(X0),X1),and(X2,not(X0))))
| ~ is_a_theorem(implies(X1,X2)) ) ).
cnf(u462,axiom,
( ~ is_a_theorem(and(X1,not(X0)))
| is_a_theorem(not(equiv(X0,X1))) ) ).
cnf(u405,axiom,
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(not(and(X1,X2)))
| ~ is_a_theorem(not(X0)) ) ).
cnf(u69,axiom,
kn2 ).
cnf(u241,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(u141,axiom,
is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ).
cnf(u72,axiom,
equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ).
cnf(u376,axiom,
( is_a_theorem(equiv(and(X0,X0),and(X0,X0)))
| ~ is_a_theorem(implies(X0,X0)) ) ).
cnf(u144,axiom,
is_a_theorem(implies(implies(implies(X1,X0),X2),or(and(X2,implies(X0,X1)),not(equiv(X0,X1))))) ).
cnf(u371,axiom,
is_a_theorem(or(X0,not(not(not(X0))))) ).
cnf(u271,axiom,
not(equiv(implies(X0,X1),and(X1,not(X0)))) = or(equiv(X0,X1),and(and(X1,not(X0)),not(implies(X0,X1)))) ).
cnf(u204,axiom,
is_a_theorem(implies(implies(implies(X1,not(X0)),X2),or(and(X2,or(X0,X1)),not(equiv(not(X0),X1))))) ).
cnf(u508,axiom,
( is_a_theorem(or(implies(or(X1,X2),or(X2,X0)),X3))
| ~ is_a_theorem(or(X0,not(X1))) ) ).
cnf(u95,axiom,
is_a_theorem(implies(or(X1,X2),or(and(X2,X0),implies(X0,X1)))) ).
cnf(u503,axiom,
( is_a_theorem(or(or(X0,X1),X2))
| ~ is_a_theorem(equiv(not(X0),X1)) ) ).
cnf(u126,axiom,
( is_a_theorem(implies(or(X0,X1),or(X1,X2)))
| ~ is_a_theorem(or(X2,not(X0))) ) ).
cnf(u334,axiom,
( ~ is_a_theorem(not(not(X0)))
| is_a_theorem(X0) ) ).
cnf(u346,axiom,
( ~ is_a_theorem(implies(and(X0,not(X1)),X2))
| is_a_theorem(or(X2,implies(X0,X1))) ) ).
cnf(u289,axiom,
( is_a_theorem(not(and(not(implies(implies(X2,X3),not(and(not(X3),X1)))),X0)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ) ).
cnf(u230,axiom,
( is_a_theorem(implies(implies(X3,and(X0,implies(X1,X2))),not(and(implies(X0,and(X1,not(X2))),X4))))
| ~ is_a_theorem(implies(X4,X3)) ) ).
cnf(u393,axiom,
( is_a_theorem(not(and(X0,X1)))
| ~ is_a_theorem(not(X0)) ) ).
cnf(u453,axiom,
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(and(X0,not(X1))) ) ).
cnf(u208,axiom,
( is_a_theorem(or(equiv(not(X0),X1),implies(implies(X1,not(X0)),X2)))
| ~ is_a_theorem(or(X2,or(X0,X1))) ) ).
cnf(u109,axiom,
( is_a_theorem(implies(implies(X0,X1),not(and(not(X1),X2))))
| ~ is_a_theorem(implies(X2,X0)) ) ).
cnf(u76,axiom,
is_a_theorem(implies(and(X0,X1),X0)) ).
cnf(u380,axiom,
( is_a_theorem(implies(equiv(not(X0),X1),and(X2,or(X0,X1))))
| ~ is_a_theorem(implies(implies(X1,not(X0)),X2)) ) ).
cnf(u315,axiom,
is_a_theorem(not(and(not(X0),X0))) ).
cnf(u94,axiom,
( is_a_theorem(or(and(X1,X2),not(and(X2,X0))))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u375,axiom,
( is_a_theorem(not(and(not(X1),and(X2,X0))))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u395,axiom,
( ~ is_a_theorem(not(or(and(X0,X1),implies(X1,X2))))
| is_a_theorem(not(or(X2,X0))) ) ).
cnf(u83,axiom,
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(X0))
| is_a_theorem(X1) ) ).
cnf(u143,axiom,
is_a_theorem(implies(implies(X2,implies(X0,X1)),or(equiv(X0,X1),not(and(implies(X1,X0),X2))))) ).
cnf(u155,axiom,
is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ).
cnf(u215,axiom,
not(equiv(X0,X1)) = implies(implies(X0,X1),and(X1,not(X0))) ).
cnf(u102,axiom,
implies(implies(X2,and(X0,not(X1))),X3) = or(and(X2,implies(X0,X1)),X3) ).
cnf(u146,axiom,
( is_a_theorem(or(and(X2,implies(X0,X1)),not(equiv(X0,X1))))
| ~ is_a_theorem(implies(implies(X1,X0),X2)) ) ).
cnf(u510,axiom,
( is_a_theorem(or(or(equiv(X1,X2),implies(implies(X2,X1),X0)),X3))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ) ).
cnf(u325,axiom,
( ~ is_a_theorem(or(X0,not(X1)))
| is_a_theorem(implies(X1,X0)) ) ).
cnf(u337,axiom,
( ~ is_a_theorem(not(implies(X0,X1)))
| is_a_theorem(and(X0,not(X1))) ) ).
cnf(u454,axiom,
( is_a_theorem(equiv(X0,X0))
| ~ is_a_theorem(X0) ) ).
cnf(u397,axiom,
( ~ is_a_theorem(not(implies(or(X0,X1),or(X1,X2))))
| is_a_theorem(not(or(X2,not(X0)))) ) ).
cnf(u443,axiom,
( ~ is_a_theorem(implies(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))
| is_a_theorem(not(not(implies(X0,and(X1,not(X2)))))) ) ).
cnf(u120,axiom,
( ~ is_a_theorem(not(and(X1,X2)))
| ~ is_a_theorem(or(X0,X1))
| is_a_theorem(implies(X2,X0)) ) ).
cnf(u296,axiom,
( ~ is_a_theorem(implies(X0,and(X1,X2)))
| is_a_theorem(not(and(not(X1),X0))) ) ).
cnf(u64,axiom,
op_or ).
cnf(u368,axiom,
( is_a_theorem(not(not(X0)))
| ~ is_a_theorem(X0) ) ).
cnf(u400,axiom,
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(X1))
| is_a_theorem(not(not(X0))) ) ).
cnf(u363,axiom,
( is_a_theorem(implies(and(X0,not(X1)),X2))
| ~ is_a_theorem(or(X2,implies(X0,X1))) ) ).
cnf(u539,axiom,
X0 = X1 ).
cnf(u111,axiom,
( ~ is_a_theorem(not(and(X0,X1)))
| is_a_theorem(not(and(X1,X2)))
| ~ is_a_theorem(implies(X2,X0)) ) ).
cnf(u382,axiom,
( is_a_theorem(implies(and(implies(X1,not(X0)),X2),equiv(not(X0),X1)))
| ~ is_a_theorem(implies(X2,or(X0,X1))) ) ).
cnf(u326,axiom,
( ~ is_a_theorem(implies(X1,not(X0)))
| is_a_theorem(not(and(X0,X1))) ) ).
cnf(u194,axiom,
is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),or(equiv(X2,X3),implies(implies(X3,X2),and(X0,not(X1)))))) ).
cnf(u498,axiom,
( is_a_theorem(or(or(and(X1,X2),not(and(X2,X0))),X3))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u105,axiom,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X3),or(X3,and(X0,not(X1)))))) ).
cnf(u501,axiom,
( is_a_theorem(or(equiv(X0,X0),X1))
| ~ is_a_theorem(implies(X0,X0)) ) ).
cnf(u520,axiom,
( is_a_theorem(implies(X1,and(X0,X0)))
| ~ is_a_theorem(X0) ) ).
cnf(u447,axiom,
( ~ is_a_theorem(not(implies(X0,and(X1,not(X2)))))
| is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ) ).
cnf(u209,axiom,
( is_a_theorem(not(and(implies(X1,not(X0)),X2)))
| ~ is_a_theorem(not(equiv(not(X0),X1)))
| ~ is_a_theorem(implies(X2,or(X0,X1))) ) ).
cnf(u300,axiom,
( is_a_theorem(not(and(not(or(equiv(X2,X3),implies(implies(X3,X2),X1))),X0)))
| ~ is_a_theorem(implies(X0,or(X1,implies(X2,X3)))) ) ).
cnf(u168,axiom,
is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(or(X2,X3),or(X3,and(X0,not(X1)))))) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL910+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:01:21 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.64/1.40 % (2799147)Detected formulas, will run a generic FOF schedule.
% 3.64/1.40 % (2799197)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=2191647250:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.64/1.40 % (2799202)dis-21_1_sil=8000:lcm=predicate:random_seed=4211804765: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)
% 3.64/1.40 % (2799200)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=541342452:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.64/1.40 % (2799196)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=3760504740:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.64/1.40 % (2799198)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=902364834:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.64/1.40 % (2799199)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3290880660:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.64/1.40 % (2799200)Refutation not found, incomplete strategy
% 3.64/1.40 % (2799200)------------------------------
% 3.64/1.40 % (2799200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.40 % (2799200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.40 % (2799200)CaDiCaL version: 2.1.3
% 3.64/1.40 % (2799199)Refutation not found, incomplete strategy
% 3.64/1.40 % (2799199)------------------------------
% 3.64/1.40 % (2799199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.40 % (2799200)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.40 % (2799200)Time elapsed: 0.001 s
% 3.64/1.40 % (2799200)Peak memory usage: 86 MB
% 3.64/1.40 % (2799199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.40 % (2799202)Refutation not found, incomplete strategy
% 3.64/1.40 % (2799202)------------------------------
% 3.64/1.40 % (2799202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.40 % (2799199)CaDiCaL version: 2.1.3
% 3.64/1.40 % (2799202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.40 % (2799199)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.40 % (2799199)Time elapsed: 0.001 s
% 3.64/1.40 % (2799199)Peak memory usage: 86 MB
% 3.64/1.40 % (2799202)CaDiCaL version: 2.1.3
% 3.64/1.40 % (2799202)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.40 % (2799202)Time elapsed: 0.001 s
% 3.64/1.40 % (2799202)Peak memory usage: 86 MB
% 3.64/1.40 % (2799201)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1550248514:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.64/1.40 % (2799201)Instruction limit reached!
% 3.64/1.40 % (2799201)------------------------------
% 3.64/1.40 % (2799201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.40 % (2799201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.40 % (2799201)CaDiCaL version: 2.1.3
% 3.64/1.40 % (2799201)Termination reason: Instruction limit
% 3.64/1.40 % (2799201)Termination phase: Saturation
% 3.64/1.40 % (2799201)Time elapsed: 0.094 s
% 3.64/1.40 % (2799201)Peak memory usage: 90 MB
% 3.64/1.40 % (2799201)Instructions burned: 140 (million)
% 3.64/1.40 [W927 17:01:21.961660868 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.
% 3.64/1.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.64/1.40 [W927 17:01:21.961683010 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.
% 3.64/1.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.64/1.40 [W927 17:01:21.961720503 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961726699 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961750961 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961756375 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961769601 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961774919 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961787304 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961803128 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961817065 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 [W927 17:01:21.961822490 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.
% 5.81/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.81/1.71 % (2799200)------------------------------
% 5.81/1.71 % (2799200)------------------------------
% 5.81/1.71 % (2799199)------------------------------
% 5.81/1.71 % (2799199)------------------------------
% 5.81/1.71 % (2799202)------------------------------
% 5.81/1.71 % (2799202)------------------------------
% 5.81/1.71 % (2799276)lrs+10_1_sil=8000:sp=occurrence:random_seed=1938694088:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.81/1.71 % (2799276)Refutation not found, incomplete strategy
% 5.81/1.71 % (2799276)------------------------------
% 5.81/1.71 % (2799276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.71 % (2799276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.71 % (2799276)CaDiCaL version: 2.1.3
% 5.81/1.71 % (2799276)Termination reason: Refutation not found, incomplete strategy
% 5.81/1.71 % (2799276)Time elapsed: 0.001 s
% 5.81/1.71 % (2799276)Peak memory usage: 86 MB
% 5.81/1.71 % (2799197)Refutation not found, incomplete strategy
% 5.81/1.71 % (2799197)------------------------------
% 5.81/1.71 % (2799197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.71 % (2799197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/2.13 % (2799197)CaDiCaL version: 2.1.3
% 8.68/2.13 % (2799197)Termination reason: Refutation not found, incomplete strategy
% 8.68/2.13 % (2799197)Time elapsed: 0.330 s
% 8.68/2.13 % (2799197)Peak memory usage: 125 MB
% 8.68/2.13 % (2799197)Instructions burned: 826 (million)
% 8.68/2.13 % (2799313)lrs+1011_1_sil=32000:sp=occurrence:random_seed=173081641:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.68/2.13 % (2799313)Refutation not found, incomplete strategy
% 8.68/2.13 % (2799313)------------------------------
% 8.68/2.13 % (2799313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.68/2.13 % (2799313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/2.13 % (2799313)CaDiCaL version: 2.1.3
% 8.68/2.13 % (2799313)Termination reason: Refutation not found, incomplete strategy
% 8.68/2.13 % (2799313)Time elapsed: 0.0000 s
% 8.68/2.13 % (2799313)Peak memory usage: 86 MB
% 8.68/2.13 [W927 17:01:22.166510861 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166558455 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166594879 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166612215 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166639312 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166651619 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166676686 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166688889 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166714296 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166726386 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.
% 8.68/2.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.68/2.13 [W927 17:01:22.166752036 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.
% 10.53/2.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.53/2.47 [W927 17:01:22.166764233 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.
% 10.53/2.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.53/2.47 % (2799315)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=2508515284:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.53/2.47 % (2799312)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1461771840:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.53/2.47 % (2799312)Refutation not found, incomplete strategy
% 10.53/2.47 % (2799312)------------------------------
% 10.53/2.47 % (2799312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (2799312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (2799312)CaDiCaL version: 2.1.3
% 10.53/2.47 % (2799312)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.47 % (2799312)Time elapsed: 0.001 s
% 10.53/2.47 % (2799312)Peak memory usage: 87 MB
% 10.53/2.47 % (2799313)------------------------------
% 10.53/2.47 % (2799313)------------------------------
% 10.53/2.47 % (2799276)------------------------------
% 10.53/2.47 % (2799276)------------------------------
% 10.53/2.47 % (2799197)------------------------------
% 10.53/2.47 % (2799197)------------------------------
% 10.53/2.47 % (2799198)Refutation not found, incomplete strategy
% 10.53/2.47 % (2799198)------------------------------
% 10.53/2.47 % (2799198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (2799198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (2799198)CaDiCaL version: 2.1.3
% 10.53/2.47 % (2799198)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.47 % (2799198)Time elapsed: 0.564 s
% 10.53/2.47 % (2799198)Peak memory usage: 125 MB
% 10.53/2.47 % (2799198)Instructions burned: 822 (million)
% 10.53/2.47 % (2799315)Instruction limit reached!
% 10.53/2.47 % (2799315)------------------------------
% 10.53/2.47 % (2799315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (2799315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (2799315)CaDiCaL version: 2.1.3
% 10.53/2.47 % (2799315)Termination reason: Instruction limit
% 10.53/2.47 % (2799315)Termination phase: Saturation
% 10.53/2.47 % (2799315)Time elapsed: 0.166 s
% 10.53/2.47 % (2799315)Peak memory usage: 92 MB
% 10.53/2.47 % (2799315)Instructions burned: 249 (million)
% 10.53/2.47 % (2799312)------------------------------
% 10.53/2.47 % (2799312)------------------------------
% 10.53/2.47 % (2799366)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=752954051:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.53/2.47 % (2799366)Refutation not found, incomplete strategy
% 10.53/2.47 % (2799366)------------------------------
% 10.53/2.47 % (2799366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (2799366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (2799366)CaDiCaL version: 2.1.3
% 10.53/2.47 % (2799366)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.47 % (2799366)Time elapsed: 0.001 s
% 10.53/2.47 % (2799366)Peak memory usage: 86 MB
% 10.53/2.47 % (2799371)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=154541785:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.53/2.47 % (2799372)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2410453352:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.53/2.47 % (2799372)Refutation not found, incomplete strategy
% 10.53/2.47 % (2799372)------------------------------
% 10.53/2.47 % (2799372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (2799372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (2799372)CaDiCaL version: 2.1.3
% 10.53/2.47 % (2799372)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.47 % (2799372)Time elapsed: 0.0000 s
% 10.53/2.47 % (2799372)Peak memory usage: 86 MB
% 10.53/2.48 % (2799373)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1289248269:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.53/2.48 % (2799373)Refutation not found, incomplete strategy
% 10.53/2.48 % (2799373)------------------------------
% 10.53/2.48 % (2799373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.48 % (2799373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.48 % (2799373)CaDiCaL version: 2.1.3
% 10.53/2.48 % (2799373)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.48 % (2799373)Time elapsed: 0.001 s
% 10.53/2.48 % (2799373)Peak memory usage: 87 MB
% 10.53/2.48 % (2799198)------------------------------
% 10.53/2.48 % (2799198)------------------------------
% 10.53/2.48 % (2799374)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1741177893:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 10.53/2.48 % (2799374)Refutation not found, incomplete strategy
% 10.53/2.48 % (2799374)------------------------------
% 10.53/2.48 % (2799374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.48 % (2799374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.48 % (2799374)CaDiCaL version: 2.1.3
% 10.53/2.48 % (2799374)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.48 % (2799374)Time elapsed: 0.001 s
% 10.53/2.48 % (2799374)Peak memory usage: 87 MB
% 10.53/2.48 % (2799372)------------------------------
% 10.53/2.48 % (2799372)------------------------------
% 10.53/2.48 % (2799366)------------------------------
% 10.53/2.48 % (2799366)------------------------------
% 10.53/2.48 % (2799373)------------------------------
% 10.53/2.48 % (2799373)------------------------------
% 10.53/2.48 % (2799380)lrs+10_1_sil=8000:sp=occurrence:random_seed=2005056996:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.53/2.48 % (2799380)Refutation not found, incomplete strategy
% 10.53/2.48 % (2799380)------------------------------
% 10.53/2.48 % (2799380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.48 % (2799380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.48 % (2799380)CaDiCaL version: 2.1.3
% 10.53/2.48 % (2799380)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.48 % (2799380)Time elapsed: 0.001 s
% 10.53/2.48 % (2799380)Peak memory usage: 86 MB
% 10.53/2.48 % (2799381)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3619917468:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.53/2.48 % (2799381)Refutation not found, incomplete strategy
% 10.53/2.48 % (2799381)------------------------------
% 10.53/2.48 % (2799381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.48 % (2799381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.48 % (2799381)CaDiCaL version: 2.1.3
% 10.53/2.48 % (2799381)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.48 % (2799381)Time elapsed: 0.0000 s
% 10.53/2.48 % (2799381)Peak memory usage: 86 MB
% 10.53/2.48 % (2799196)Refutation not found, incomplete strategy
% 10.53/2.48 % (2799196)------------------------------
% 10.53/2.48 % (2799196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.48 % (2799196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.48 % (2799196)CaDiCaL version: 2.1.3
% 10.53/2.48 % (2799196)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.48 % (2799196)Time elapsed: 1.053 s
% 10.53/2.48 % (2799196)Peak memory usage: 137 MB
% 10.53/2.48 % (2799196)Instructions burned: 1547 (million)
% 10.53/2.48 % (2799374)------------------------------
% 10.53/2.48 % (2799374)------------------------------
% 10.53/2.48 % (2799382)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=704844583:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.53/2.48 % (2799383)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1706486388:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.53/2.48 % (2799383)Refutation not found, incomplete strategy
% 10.53/2.48 % (2799383)------------------------------
% 10.53/2.48 % (2799383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.48 % (2799383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.68 % (2799383)CaDiCaL version: 2.1.3
% 11.65/2.68 % (2799383)Termination reason: Refutation not found, incomplete strategy
% 11.65/2.68 % (2799383)Time elapsed: 0.001 s
% 11.65/2.68 % (2799383)Peak memory usage: 87 MB
% 11.65/2.68 % (2799381)------------------------------
% 11.65/2.68 % (2799381)------------------------------
% 11.65/2.68 % (2799380)------------------------------
% 11.65/2.68 % (2799380)------------------------------
% 11.65/2.68 % (2799386)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2259612973:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 11.65/2.68 % (2799386)Refutation not found, incomplete strategy
% 11.65/2.68 % (2799386)------------------------------
% 11.65/2.68 % (2799386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.68 % (2799386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.68 % (2799386)CaDiCaL version: 2.1.3
% 11.65/2.68 % (2799386)Termination reason: Refutation not found, incomplete strategy
% 11.65/2.68 % (2799386)Time elapsed: 0.001 s
% 11.65/2.68 % (2799386)Peak memory usage: 86 MB
% 11.65/2.68 % (2799389)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1641210402:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 11.65/2.68 % (2799196)------------------------------
% 11.65/2.68 % (2799196)------------------------------
% 11.65/2.68 % (2799383)------------------------------
% 11.65/2.68 % (2799383)------------------------------
% 11.65/2.68 % (2799390)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=2942775232:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 11.65/2.68 % (2799390)Refutation not found, incomplete strategy
% 11.65/2.68 % (2799390)------------------------------
% 11.65/2.68 % (2799390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.68 % (2799390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.68 % (2799390)CaDiCaL version: 2.1.3
% 11.65/2.68 % (2799390)Termination reason: Refutation not found, incomplete strategy
% 11.65/2.68 % (2799390)Time elapsed: 0.001 s
% 11.65/2.68 % (2799390)Peak memory usage: 87 MB
% 11.65/2.68 [W927 17:01:23.236619646 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.
% 11.65/2.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.65/2.68 [W927 17:01:23.236661546 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.
% 11.65/2.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.65/2.68 [W927 17:01:23.236682431 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.
% 11.65/2.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.65/2.68 [W927 17:01:23.236688751 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.
% 11.65/2.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.65/2.68 [W927 17:01:23.236701882 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.
% 11.65/2.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.65/2.68 [W927 17:01:23.236707676 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.
% 11.65/2.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.65/2.68 [W927 17:01:23.236720808 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.236727927 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.236740804 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.236746442 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.236759267 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.236764981 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 % (2799371)First to succeed.
% 12.26/2.75 [W927 17:01:23.248210228 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248241265 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248278962 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248291312 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248319112 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248330312 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248356579 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248367726 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248392903 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248403110 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248427466 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 [W927 17:01:23.248437606 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.
% 12.26/2.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.26/2.75 % (2799371)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2799147"
% 12.26/2.75 % (2799393)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1335424978:i=134:gtgl=5:slsql=off:gtg=exists_sym_2985 on theBenchmark for (2985ds/134Mi)
% 12.26/2.75 % (2799386)------------------------------
% 12.26/2.75 % (2799386)------------------------------
% 12.26/2.75 % (2799394)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=142398349:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 12.26/2.75 % (2799394)Refutation not found, incomplete strategy
% 12.26/2.75 % (2799394)------------------------------
% 12.26/2.75 % (2799394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.75 % (2799394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.75 % (2799394)CaDiCaL version: 2.1.3
% 12.26/2.75 % (2799394)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.75 % (2799394)Time elapsed: 0.001 s
% 12.26/2.75 % (2799394)Peak memory usage: 86 MB
% 12.26/2.75 % (2799389)Refutation not found, incomplete strategy
% 12.26/2.75 % (2799389)------------------------------
% 12.26/2.75 % (2799389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.75 % (2799389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.75 % (2799389)CaDiCaL version: 2.1.3
% 12.26/2.75 % (2799389)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.75 % (2799389)Time elapsed: 0.305 s
% 12.26/2.75 % (2799389)Peak memory usage: 125 MB
% 12.26/2.75 % (2799389)Instructions burned: 826 (million)
% 12.26/2.75 % (2799393)Instruction limit reached!
% 12.26/2.75 % (2799393)------------------------------
% 12.26/2.75 % (2799393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.75 % (2799393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.75 % (2799393)CaDiCaL version: 2.1.3
% 12.26/2.75 % (2799393)Termination reason: Instruction limit
% 12.26/2.75 % (2799393)Termination phase: Saturation
% 12.26/2.75 % (2799393)Time elapsed: 0.092 s
% 12.26/2.75 % (2799393)Peak memory usage: 90 MB
% 12.26/2.75 % (2799393)Instructions burned: 134 (million)
% 12.26/2.75 % (2799390)------------------------------
% 12.26/2.75 % (2799390)------------------------------
% 12.26/2.75 % (2799382)Refutation not found, incomplete strategy
% 12.26/2.75 % (2799382)------------------------------
% 12.26/2.75 % (2799382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.75 % (2799382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.75 % (2799382)CaDiCaL version: 2.1.3
% 12.26/2.75 % (2799382)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.75 % (2799382)Time elapsed: 0.568 s
% 12.26/2.75 % (2799382)Peak memory usage: 125 MB
% 12.26/2.75 % (2799382)Instructions burned: 826 (million)
% 12.26/2.75 % (2799397)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=433037591:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/431Mi)
% 12.26/2.75 % (2799397)Refutation not found, incomplete strategy
% 12.26/2.75 % (2799397)------------------------------
% 12.26/2.75 % (2799397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.75 % (2799397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.75 % (2799397)CaDiCaL version: 2.1.3
% 12.26/2.75 % (2799397)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.75 % (2799397)Time elapsed: 0.001 s
% 12.26/2.75 % (2799397)Peak memory usage: 86 MB
% 12.26/2.75 % (2799389)------------------------------
% 12.26/2.75 % (2799389)------------------------------
% 12.26/2.75 % (2799399)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=2349422591:i=6060:aac=none:ins=25_2982 on theBenchmark for (2982ds/6060Mi)
% 12.26/2.75 % SZS status Satisfiable for theBenchmark
% 12.26/2.75 % SZS output start Saturation.
% See solution above
% 13.97/2.95 % SZS output start Definitions and Model Updates.
% 13.97/2.95 for all inputs,
% 13.97/2.95 define op_and := $false
% 13.97/2.95 for all inputs,
% 13.97/2.95 define op_implies_or := $false
% 13.97/2.95 for all groundings,
% 13.97/2.95 whenever ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(implies(X0,X1))) => is_a_theorem(X1)) is true, set modus_ponens to true
% 13.97/2.95 for all groundings,
% 13.97/2.95 whenever ! [X0,X1] : (is_a_theorem(equiv(X0,X1)) => X0 = X1) is true, set substitution_of_equivalents to true
% 13.97/2.95 for all inputs,
% 13.97/2.95 define modus_tollens := ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define implies_1 := ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define implies_2 := ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define implies_3 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define and_1 := ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define and_2 := ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define and_3 := ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define or_1 := ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define or_2 := ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define or_3 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define equivalence_1 := ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define equivalence_2 := ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define equivalence_3 := ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
% 13.97/2.95 for all groundings,
% 13.97/2.95 whenever ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) is true, set kn1 to true
% 13.97/2.95 for all groundings,
% 13.97/2.95 whenever ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) is true, set kn2 to true
% 13.97/2.95 for all groundings,
% 13.97/2.95 whenever ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) is true, set kn3 to true
% 13.97/2.95 for all inputs,
% 13.97/2.95 define cn1 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define cn2 := ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define cn3 := ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define r1 := ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define r2 := ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define r3 := ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define r4 := ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
% 13.97/2.95 for all inputs,
% 13.97/2.95 define r5 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
% 13.97/2.95 % SZS output end Definitions and Model Updates.
% 13.97/2.95 % (2799371)------------------------------
% 13.97/2.95 % (2799371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.95 % (2799371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.95 % (2799371)CaDiCaL version: 2.1.3
% 13.97/2.95 % (2799371)Termination reason: Satisfiable
% 13.97/2.95 % (2799371)Time elapsed: 0.800 s
% 13.97/2.95 % (2799371)Peak memory usage: 131 MB
% 13.97/2.95 % (2799371)Instructions burned: 1174 (million)
% 13.97/2.95 % (2799371)------------------------------
% 13.97/2.95 % (2799371)------------------------------
% 13.97/2.95 % (2799147)Success in time 1.89 s
% 13.97/2.95 % Vampire exiting
%------------------------------------------------------------------------------