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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:50:54 AM UTC 2026

% Result   : Unsatisfiable 13.02s 17.64s
% Output   : Refutation 13.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  112 (  20 unt;  10 def)
%            Number of atoms       :  274 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  306 ( 144   ~; 152   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   12 (  11 usr;  11 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  261 (   0 sgn 261   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(or(not(X0),X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(not(X0),X1)),or(X2,or(X3,X4)))),or(not(or(not(X3),X0)),or(X2,or(X4,X0))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_CAMeredith) ).

fof(f3,negated_conjecture,
    ~ is_a_theorem(or(not(or(not(b),c)),or(not(or(a,b)),or(a,c)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_1) ).

fof(f4,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X4))))
      | is_a_theorem(or(not(or(not(X3),X0)),or(X2,or(X4,X0)))) ),
    inference(resolution,[],[f1,f2]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(X0),or(not(X1),X2))),or(not(or(not(X3),X1)),or(or(X4,X1),or(not(X1),X2))))),
    inference(resolution,[],[f4,f2]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(X0,X1)),X2)),or(not(or(not(X3),X1)),or(or(not(X1),X4),X2)))),
    inference(resolution,[],[f5,f4]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(not(X0),X1)),or(X2,X0))),or(not(or(not(X3),X0)),or(X4,or(X2,X0))))),
    inference(resolution,[],[f6,f4]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
      | is_a_theorem(or(not(or(not(X3),X0)),or(X4,or(X2,X0)))) ),
    inference(resolution,[],[f8,f1]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(X0),or(not(X1),or(X2,X1)))),or(X3,or(not(or(not(X4),X1)),or(not(X1),or(X2,X1)))))),
    inference(resolution,[],[f11,f8]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(or(not(X0),or(not(X1),or(X2,X1))))
      | is_a_theorem(or(X3,or(not(or(not(X4),X1)),or(not(X1),or(X2,X1))))) ),
    inference(resolution,[],[f13,f1]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(X0,or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X2),X3)),or(X4,or(not(X2),X3)))))),
    inference(resolution,[],[f28,f8]) ).

fof(f49,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X2),X3)),or(X4,or(not(X2),X3))))) ),
    inference(resolution,[],[f30,f1]) ).

fof(f51,definition,
    ( spl0_1
  <=> ! [X2,X4,X1,X3] : is_a_theorem(or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X2),X3)),or(X4,or(not(X2),X3))))) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f52,plain,
    ( ! [X2,X3,X1,X4] : is_a_theorem(or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X2),X3)),or(X4,or(not(X2),X3)))))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f54,definition,
    ( spl0_2
  <=> ! [X0] : ~ is_a_theorem(X0) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f55,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f56,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f49,f54,f51]) ).

fof(f57,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f55,f2]) ).

fof(f72,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f57]) ).

fof(f73,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(or(not(X2),X3)),or(or(not(X2),X3),X1))))
    | ~ spl0_1 ),
    inference(resolution,[],[f52,f4]) ).

fof(f79,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(or(not(X0),X1)),X2)),or(not(or(not(X0),X1)),or(X3,X2))))
    | ~ spl0_1 ),
    inference(resolution,[],[f73,f4]) ).

fof(f86,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),or(not(X1),X2))),or(X3,or(not(or(not(X1),X2)),or(not(X1),X2)))))
    | ~ spl0_1 ),
    inference(resolution,[],[f79,f11]) ).

fof(f90,plain,
    ( ! [X2,X3,X0,X1] :
        ( is_a_theorem(or(not(or(not(X0),X1)),or(X3,X2)))
        | ~ is_a_theorem(or(not(or(not(X0),X1)),X2)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f79,f1]) ).

fof(f92,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X3)))
        | is_a_theorem(or(not(or(not(X2),X0)),or(X4,or(X3,X0)))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f90,f4]) ).

fof(f136,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(not(or(not(X0),X1))),X2)),or(X3,or(or(not(X0),X1),X2))))
    | ~ spl0_1 ),
    inference(resolution,[],[f86,f4]) ).

fof(f175,plain,
    ( ! [X2,X3,X0,X1,X4] : is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(or(not(X3),X4),X2)))))
    | ~ spl0_1 ),
    inference(resolution,[],[f136,f28]) ).

fof(f200,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(or(not(X3),X4),X2)))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f175,f1]) ).

fof(f203,definition,
    ( spl0_3
  <=> ! [X2,X1,X3,X4] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(or(not(X3),X4),X2)))) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f204,plain,
    ( ! [X2,X3,X1,X4] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(or(not(X3),X4),X2))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f205,plain,
    ( spl0_3
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f200,f51,f54,f203]) ).

fof(f207,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(or(not(X0),X1)),X2)),or(not(X3),or(X3,X2))))
    | ~ spl0_3 ),
    inference(resolution,[],[f204,f4]) ).

fof(f223,plain,
    ( ! [X2,X0,X1] : is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(X2,X2)))))
    | ~ spl0_3 ),
    inference(resolution,[],[f207,f28]) ).

fof(f238,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X2,X2)))) )
    | ~ spl0_3 ),
    inference(resolution,[],[f223,f1]) ).

fof(f241,definition,
    ( spl0_4
  <=> ! [X2,X1] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X2,X2)))) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f242,plain,
    ( ! [X2,X1] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X2,X2))))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f243,plain,
    ( spl0_4
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f238,f203,f54,f241]) ).

fof(f245,plain,
    ( ! [X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(X0),or(X0,X1))))
    | ~ spl0_4 ),
    inference(resolution,[],[f242,f4]) ).

fof(f256,plain,
    ( ! [X0,X1] : is_a_theorem(or(not(or(not(X0),X0)),or(not(X0),or(X1,X0))))
    | ~ spl0_4 ),
    inference(resolution,[],[f245,f4]) ).

fof(f270,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))))
    | ~ spl0_4 ),
    inference(resolution,[],[f256,f28]) ).

fof(f285,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) )
    | ~ spl0_4 ),
    inference(resolution,[],[f270,f1]) ).

fof(f288,definition,
    ( spl0_5
  <=> ! [X2,X1,X3] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f289,plain,
    ( ! [X2,X3,X1] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2))))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f290,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f285,f241,f54,f288]) ).

fof(f292,plain,
    ( ! [X2,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(X2),or(X2,X1))))
    | ~ spl0_5 ),
    inference(resolution,[],[f289,f4]) ).

fof(f293,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),or(X1,X2))),or(X3,or(not(X2),or(X1,X2)))))
    | ~ spl0_5 ),
    inference(resolution,[],[f289,f11]) ).

fof(f305,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(not(X0)),X1)),or(X2,or(or(X0,X3),X1))))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f292,f92]) ).

fof(f489,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(or(not(X0),or(X1,X2)))
        | is_a_theorem(or(X3,or(not(X2),or(X1,X2)))) )
    | ~ spl0_5 ),
    inference(resolution,[],[f293,f1]) ).

fof(f598,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(or(X0,X1)),not(X0))),or(X2,or(X3,not(X0)))))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f305,f4]) ).

fof(f613,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),or(X1,not(X1)))),or(X2,or(X3,or(X1,not(X1))))))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f598,f11]) ).

fof(f627,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(or(X3,not(X3)),X1))))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f613,f4]) ).

fof(f642,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(or(X0,not(X0))),X1)),or(X2,or(X3,X1))))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f627,f4]) ).

fof(f666,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(X0,or(not(or(X1,X2)),or(X3,or(X1,X2)))))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f642,f489]) ).

fof(f712,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(not(or(X1,X2)),or(X3,or(X1,X2)))) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f666,f1]) ).

fof(f715,definition,
    ( spl0_6
  <=> ! [X2,X1,X3] : is_a_theorem(or(not(or(X1,X2)),or(X3,or(X1,X2)))) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f716,plain,
    ( ! [X2,X3,X1] : is_a_theorem(or(not(or(X1,X2)),or(X3,or(X1,X2))))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f717,plain,
    ( spl0_6
    | spl0_2
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f712,f288,f51,f54,f715]) ).

fof(f719,plain,
    ( ! [X2,X0,X1] : is_a_theorem(or(not(or(not(not(X0)),X0)),or(X1,or(X2,X0))))
    | ~ spl0_6 ),
    inference(resolution,[],[f716,f4]) ).

fof(f732,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(or(X2,or(X0,X1)))
        | ~ is_a_theorem(or(X0,X1)) )
    | ~ spl0_6 ),
    inference(resolution,[],[f716,f1]) ).

fof(f735,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),not(X1))),or(X2,or(or(X3,X1),not(X1)))))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f719,f92]) ).

fof(f764,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,or(not(X1),X2))))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f735,f4]) ).

fof(f781,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),or(not(X1),X1))),or(X2,or(X3,or(not(X1),X1)))))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f764,f11]) ).

fof(f846,plain,
    ( ! [X2,X3,X0,X1] :
        ( is_a_theorem(or(not(or(not(X1),X3)),or(X0,or(X2,X3))))
        | ~ is_a_theorem(or(X0,or(X1,X2))) )
    | ~ spl0_6 ),
    inference(resolution,[],[f732,f4]) ).

fof(f863,plain,
    ( ~ is_a_theorem(or(not(or(a,b)),or(b,a)))
    | ~ spl0_6 ),
    inference(resolution,[],[f846,f3]) ).

fof(f997,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(or(not(X3),X3),X1))))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f781,f4]) ).

fof(f1010,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(or(not(X0),or(not(X1),X1)))
        | is_a_theorem(or(X2,or(X3,or(not(X1),X1)))) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f781,f1]) ).

fof(f1014,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(or(not(X0),X0)),X1)),or(X2,or(X3,X1))))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f997,f4]) ).

fof(f1046,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(or(not(or(not(X0),X0)),X1))
        | is_a_theorem(or(X2,or(X3,X1))) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f1014,f1]) ).

fof(f1082,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(X0,or(X1,or(not(X2),or(X3,X2)))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f1046,f289]) ).

fof(f1154,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(X1,or(not(X2),or(X3,X2)))) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f1082,f1]) ).

fof(f1161,definition,
    ( spl0_7
  <=> ! [X2,X1,X3] : is_a_theorem(or(X1,or(not(X2),or(X3,X2)))) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f1162,plain,
    ( ! [X2,X3,X1] : is_a_theorem(or(X1,or(not(X2),or(X3,X2))))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1161]) ).

fof(f1163,plain,
    ( spl0_7
    | spl0_2
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1154,f715,f288,f51,f54,f1161]) ).

fof(f1180,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(not(X1),or(X2,X1))) )
    | ~ spl0_7 ),
    inference(resolution,[],[f1162,f1]) ).

fof(f1185,definition,
    ( spl0_8
  <=> ! [X2,X1] : is_a_theorem(or(not(X1),or(X2,X1))) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f1186,plain,
    ( ! [X2,X1] : is_a_theorem(or(not(X1),or(X2,X1)))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1187,plain,
    ( spl0_8
    | spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1180,f1161,f54,f1185]) ).

fof(f1199,plain,
    ( ! [X2,X0,X1] : is_a_theorem(or(X0,or(X1,or(not(X2),X2))))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(resolution,[],[f1186,f1010]) ).

fof(f1247,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(X1,or(not(X2),X2))) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(resolution,[],[f1199,f1]) ).

fof(f1254,definition,
    ( spl0_9
  <=> ! [X2,X1] : is_a_theorem(or(X1,or(not(X2),X2))) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f1255,plain,
    ( ! [X2,X1] : is_a_theorem(or(X1,or(not(X2),X2)))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1256,plain,
    ( spl0_9
    | spl0_2
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1247,f1185,f715,f51,f54,f1254]) ).

fof(f1260,plain,
    ( ! [X2,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(or(X0,X2)),or(X2,X1))))
    | ~ spl0_9 ),
    inference(resolution,[],[f1255,f4]) ).

fof(f1273,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(not(X1),X1)) )
    | ~ spl0_9 ),
    inference(resolution,[],[f1255,f1]) ).

fof(f1278,definition,
    ( spl0_10
  <=> ! [X1] : is_a_theorem(or(not(X1),X1)) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f1279,plain,
    ( ! [X1] : is_a_theorem(or(not(X1),X1))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f1278]) ).

fof(f1280,plain,
    ( spl0_10
    | spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1273,f1254,f54,f1278]) ).

fof(f1298,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(or(not(or(X0,X2)),or(X2,X1)))
        | ~ is_a_theorem(or(not(X0),X1)) )
    | ~ spl0_9 ),
    inference(resolution,[],[f1260,f1]) ).

fof(f1737,plain,
    ( ~ is_a_theorem(or(not(a),a))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(resolution,[],[f1298,f863]) ).

fof(f1756,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1737,f1279]) ).

fof(f1757,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1756]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f56]) ).

cnf(s9,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f72]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f205]) ).

cnf(s11,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f243]) ).

cnf(s12,plain,
    ( spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s13,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s14,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s15,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s16,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f1256]) ).

cnf(s17,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f1280]) ).

cnf(s20,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s21,plain,
    spl0_1,
    inference(rat,[],[s1,s9]) ).

cnf(s22,plain,
    spl0_3,
    inference(rat,[],[s10,s9,s21]) ).

cnf(s23,plain,
    spl0_4,
    inference(rat,[],[s11,s9,s22]) ).

cnf(s24,plain,
    spl0_5,
    inference(rat,[],[s12,s9,s23]) ).

cnf(s25,plain,
    spl0_6,
    inference(rat,[],[s13,s21,s9,s24]) ).

cnf(s26,plain,
    spl0_7,
    inference(rat,[],[s14,s24,s21,s9,s25]) ).

cnf(s27,plain,
    spl0_8,
    inference(rat,[],[s15,s9,s26]) ).

cnf(s28,plain,
    spl0_9,
    inference(rat,[],[s16,s25,s21,s9,s27]) ).

cnf(s29,plain,
    ~ spl0_10,
    inference(rat,[],[s20,s25,s28]) ).

cnf(s30,plain,
    $false,
    inference(rat,[],[s17,s9,s29,s28]) ).

fof(f1758,plain,
    $false,
    inference(avatar_sat_refutation,[],[s30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42   % Computer : n016.cluster.edu
% 0.13/0.42   % Model    : x86_64 x86_64
% 0.13/0.42   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42   % Memory   : 8046.5625MB
% 0.13/0.42   % OS       : Linux 6.8.0-71-generic
% 0.10/15.33  % CPULimit : 300
% 0.10/15.33  % WCLimit  : 300
% 0.10/15.33  % DateTime : Sun Sep 27 15:16:37 UTC 2026
% 0.10/15.33  % CPUTime  : 
% 0.10/15.33  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/15.36  Running first-order theorem proving
% 0.10/15.36  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.98/17.35  % (3646685)Input is clausal, will run a generic CNF schedule.
% 10.98/17.35  % (3646691)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=669333180:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.98/17.35  % (3646695)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3795366787:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.98/17.35  % (3646690)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=3558752253:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.98/17.35  % (3646693)lrs+10_1_sil=8000:sp=occurrence:random_seed=3855436618:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.98/17.35  % (3646694)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=183589673:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.98/17.35  % (3646692)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4210392428:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.98/17.35  % (3646696)dis-21_1_sil=8000:lcm=predicate:random_seed=1242846791:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.98/17.35  % (3646693)Instruction limit reached! 
% 10.98/17.35  % (3646693)------------------------------
% 10.98/17.35  % (3646693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/17.35  % (3646693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/17.35  % (3646693)CaDiCaL version: 2.1.3
% 10.98/17.35  % (3646693)Termination reason: Instruction limit
% 10.98/17.35  % (3646693)Termination phase: Saturation
% 10.98/17.35  % (3646693)Time elapsed: 0.067 s
% 10.98/17.35  % (3646693)Peak memory usage: 89 MB
% 10.98/17.35  % (3646693)Instructions burned: 108 (million)
% 10.98/17.35  % (3646694)Instruction limit reached! 
% 10.98/17.35  % (3646694)------------------------------
% 10.98/17.35  % (3646694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/17.35  % (3646694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/17.35  % (3646694)CaDiCaL version: 2.1.3
% 10.98/17.35  % (3646694)Termination reason: Instruction limit
% 10.98/17.35  % (3646694)Termination phase: Saturation
% 10.98/17.35  % (3646694)Time elapsed: 0.070 s
% 10.98/17.35  % (3646694)Peak memory usage: 88 MB
% 10.98/17.35  % (3646694)Instructions burned: 116 (million)
% 10.98/17.35  % (3646696)Instruction limit reached! 
% 10.98/17.35  % (3646696)------------------------------
% 10.98/17.35  % (3646696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/17.35  % (3646696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/17.35  % (3646696)CaDiCaL version: 2.1.3
% 10.98/17.35  % (3646696)Termination reason: Instruction limit
% 10.98/17.35  % (3646696)Termination phase: Saturation
% 10.98/17.35  % (3646696)Time elapsed: 0.072 s
% 10.98/17.35  % (3646696)Peak memory usage: 89 MB
% 10.98/17.35  % (3646696)Instructions burned: 119 (million)
% 10.98/17.35  % (3646695)Instruction limit reached! 
% 10.98/17.35  % (3646695)------------------------------
% 10.98/17.35  % (3646695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/17.35  % (3646695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/17.35  % (3646695)CaDiCaL version: 2.1.3
% 10.98/17.35  % (3646695)Termination reason: Instruction limit
% 10.98/17.35  % (3646695)Termination phase: Saturation
% 10.98/17.35  % (3646695)Time elapsed: 0.118 s
% 10.98/17.35  % (3646695)Peak memory usage: 89 MB
% 10.98/17.35  % (3646695)Instructions burned: 180 (million)
% 10.98/17.35  % (3646704)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=480908070:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.98/17.35  % (3646704)Refutation not found, incomplete strategy
% 10.98/17.35  % (3646704)------------------------------
% 10.98/17.35  % (3646704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/17.35  % (3646704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/17.35  % (3646704)CaDiCaL version: 2.1.3
% 10.98/17.35  % (3646704)Termination reason: Refutation not found, incomplete strategy
% 10.98/17.35  % (3646704)Time elapsed: 0.001 s
% 10.98/17.35  % (3646704)Peak memory usage: 87 MB
% 10.98/17.35  % (3646705)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3701911162:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 13.02/17.64  % (3646706)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1883032:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.02/17.64  % (3646706)Refutation not found, incomplete strategy
% 13.02/17.64  % (3646706)------------------------------
% 13.02/17.64  % (3646706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646706)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646706)Termination reason: Refutation not found, incomplete strategy
% 13.02/17.64  % (3646706)Time elapsed: 0.001 s
% 13.02/17.64  % (3646706)Peak memory usage: 87 MB
% 13.02/17.64  % (3646707)lrs+10_64_to=lpo:sil=8000:random_seed=3587840313:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 13.02/17.64  % (3646705)Instruction limit reached! 
% 13.02/17.64  % (3646705)------------------------------
% 13.02/17.64  % (3646705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646705)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646705)Termination reason: Instruction limit
% 13.02/17.64  % (3646705)Termination phase: Saturation
% 13.02/17.64  % (3646705)Time elapsed: 0.107 s
% 13.02/17.64  % (3646705)Peak memory usage: 89 MB
% 13.02/17.64  % (3646705)Instructions burned: 189 (million)
% 13.02/17.64  % (3646707)Instruction limit reached! 
% 13.02/17.64  % (3646707)------------------------------
% 13.02/17.64  % (3646707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646707)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646707)Termination reason: Instruction limit
% 13.02/17.64  % (3646707)Termination phase: Saturation
% 13.02/17.64  % (3646707)Time elapsed: 0.080 s
% 13.02/17.64  % (3646707)Peak memory usage: 89 MB
% 13.02/17.64  % (3646707)Instructions burned: 127 (million)
% 13.02/17.64  % (3646704)------------------------------
% 13.02/17.64  % (3646704)------------------------------
% 13.02/17.64  % (3646713)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2705937429:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 13.02/17.64  % (3646712)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1753936075:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 13.02/17.64  % (3646706)------------------------------
% 13.02/17.64  % (3646706)------------------------------
% 13.02/17.64  % (3646713)Instruction limit reached! 
% 13.02/17.64  % (3646713)------------------------------
% 13.02/17.64  % (3646713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646713)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646713)Termination reason: Instruction limit
% 13.02/17.64  % (3646713)Termination phase: Saturation
% 13.02/17.64  % (3646713)Time elapsed: 0.100 s
% 13.02/17.64  % (3646713)Peak memory usage: 90 MB
% 13.02/17.64  % (3646713)Instructions burned: 158 (million)
% 13.02/17.64  % (3646714)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1807766975:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 13.02/17.64  % (3646712)Instruction limit reached! 
% 13.02/17.64  % (3646712)------------------------------
% 13.02/17.64  % (3646712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646712)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646712)Termination reason: Instruction limit
% 13.02/17.64  % (3646712)Termination phase: Saturation
% 13.02/17.64  % (3646712)Time elapsed: 0.124 s
% 13.02/17.64  % (3646712)Peak memory usage: 89 MB
% 13.02/17.64  % (3646712)Instructions burned: 194 (million)
% 13.02/17.64  % (3646717)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3186027738:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 13.02/17.64  % (3646717)Instruction limit reached! 
% 13.02/17.64  % (3646717)------------------------------
% 13.02/17.64  % (3646717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646717)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646717)Termination reason: Instruction limit
% 13.02/17.64  % (3646717)Termination phase: Saturation
% 13.02/17.64  % (3646717)Time elapsed: 0.054 s
% 13.02/17.64  % (3646717)Peak memory usage: 88 MB
% 13.02/17.64  % (3646717)Instructions burned: 108 (million)
% 13.02/17.64  % (3646718)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=740385043:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 13.02/17.64  % (3646718)Refutation not found, incomplete strategy
% 13.02/17.64  % (3646718)------------------------------
% 13.02/17.64  % (3646718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646718)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646718)Termination reason: Refutation not found, incomplete strategy
% 13.02/17.64  % (3646718)Time elapsed: 0.001 s
% 13.02/17.64  % (3646718)Peak memory usage: 87 MB
% 13.02/17.64  % (3646720)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3416890194:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 13.02/17.64  % (3646722)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2682145941:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 13.02/17.64  % (3646720)Instruction limit reached! 
% 13.02/17.64  % (3646720)------------------------------
% 13.02/17.64  % (3646720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646720)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646720)Termination reason: Instruction limit
% 13.02/17.64  % (3646720)Termination phase: Saturation
% 13.02/17.64  % (3646720)Time elapsed: 0.142 s
% 13.02/17.64  % (3646720)Peak memory usage: 89 MB
% 13.02/17.64  % (3646720)Instructions burned: 242 (million)
% 13.02/17.64  % (3646718)------------------------------
% 13.02/17.64  % (3646718)------------------------------
% 13.02/17.64  % (3646726)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=176768828:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 13.02/17.64  % (3646726)Instruction limit reached! 
% 13.02/17.64  % (3646726)------------------------------
% 13.02/17.64  % (3646726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646726)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646726)Termination reason: Instruction limit
% 13.02/17.64  % (3646726)Termination phase: Saturation
% 13.02/17.64  % (3646726)Time elapsed: 0.083 s
% 13.02/17.64  % (3646726)Peak memory usage: 89 MB
% 13.02/17.64  % (3646726)Instructions burned: 134 (million)
% 13.02/17.64  % (3646727)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=570969176:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 13.02/17.64  % (3646729)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2548599429:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 13.02/17.64  % (3646729)Instruction limit reached! 
% 13.02/17.64  % (3646729)------------------------------
% 13.02/17.64  % (3646729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646729)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646729)Termination reason: Instruction limit
% 13.02/17.64  % (3646729)Termination phase: Saturation
% 13.02/17.64  % (3646729)Time elapsed: 0.124 s
% 13.02/17.64  % (3646729)Peak memory usage: 91 MB
% 13.02/17.64  % (3646729)Instructions burned: 191 (million)
% 13.02/17.64  % (3646727)Instruction limit reached! 
% 13.02/17.64  % (3646727)------------------------------
% 13.02/17.64  % (3646727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646727)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646727)Termination reason: Instruction limit
% 13.02/17.64  % (3646727)Termination phase: Saturation
% 13.02/17.64  % (3646727)Time elapsed: 0.267 s
% 13.02/17.64  % (3646727)Peak memory usage: 92 MB
% 13.02/17.64  % (3646727)Instructions burned: 499 (million)
% 13.02/17.64  % (3646732)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1020986670:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 13.02/17.64  % (3646714)First to succeed.
% 13.02/17.64  % (3646714)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3646685"
% 13.02/17.64  % (3646733)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=36663071:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 13.02/17.64  % (3646733)Instruction limit reached! 
% 13.02/17.64  % (3646733)------------------------------
% 13.02/17.64  % (3646733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646733)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646733)Termination reason: Instruction limit
% 13.02/17.64  % (3646733)Termination phase: Saturation
% 13.02/17.64  % (3646733)Time elapsed: 0.086 s
% 13.02/17.64  % (3646733)Peak memory usage: 89 MB
% 13.02/17.64  % (3646733)Instructions burned: 157 (million)
% 13.02/17.64  % (3646732)Instruction limit reached! 
% 13.02/17.64  % (3646732)------------------------------
% 13.02/17.64  % (3646732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/17.64  % (3646732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/17.64  % (3646732)CaDiCaL version: 2.1.3
% 13.02/17.64  % (3646732)Termination reason: Instruction limit
% 13.02/17.64  % (3646732)Termination phase: Saturation
% 13.02/17.64  % (3646732)Time elapsed: 0.152 s
% 13.02/17.64  % (3646732)Peak memory usage: 90 MB
% 13.02/17.64  % (3646732)Instructions burned: 265 (million)
% 13.02/17.64  % (3646736)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3812548972:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 13.02/17.64  % (3646714)Refutation found. Thanks to Tanya!
% 13.02/17.64  % SZS status Unsatisfiable for theBenchmark
% 13.02/17.64  % SZS output start Proof for theBenchmark
% See solution above
% 13.65/17.84  % (3646714)------------------------------
% 13.65/17.84  % (3646714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.65/17.84  % (3646714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/17.84  % (3646714)CaDiCaL version: 2.1.3
% 13.65/17.84  % (3646714)Termination reason: Refutation
% 13.65/17.84  % (3646714)Time elapsed: 0.881 s
% 13.65/17.84  % (3646714)Peak memory usage: 132 MB
% 13.65/17.84  % (3646714)Instructions burned: 1353 (million)
% 13.65/17.84  % (3646714)------------------------------
% 13.65/17.84  % (3646714)------------------------------
% 13.65/17.84  % (3646685)Success in time 1.836 s
% 13.65/17.84  % Vampire exiting
%------------------------------------------------------------------------------