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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL095-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:51:11 AM UTC 2026

% Result   : Unsatisfiable 2.15s 2.03s
% Output   : Refutation 6.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   91 (  17 unt;  11 def)
%            Number of atoms       :  207 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  211 (  95   ~; 105   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   13 (  12 usr;  12 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  235 (   0 sgn 235   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).

fof(f3,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(implies(a,b),b))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_5) ).

fof(f4,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
      | ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(X3,X0))
      | ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
      | is_a_theorem(implies(X4,implies(X2,X0))) ),
    inference(resolution,[],[f4,f1]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))
      | is_a_theorem(implies(X7,implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))) ),
    inference(resolution,[],[f5,f2]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ is_a_theorem(implies(implies(X2,X7),implies(X1,X5)))
      | is_a_theorem(implies(X6,implies(X4,implies(X0,implies(X1,X2)))))
      | ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X5,X2)))) ),
    inference(resolution,[],[f5,f4]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ is_a_theorem(implies(implies(implies(X2,implies(implies(X3,X4),implies(X4,X5))),X6),implies(X1,implies(implies(X7,implies(X8,X4)),implies(X4,X5)))))
      | is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,X5)))))) ),
    inference(resolution,[],[f7,f2]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ is_a_theorem(implies(implies(implies(X5,X2),X6),implies(implies(X3,X7),implies(implies(X2,X3),implies(X4,implies(X5,X3))))))
      | is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3)))))) ),
    inference(resolution,[],[f6,f4]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ is_a_theorem(implies(implies(implies(X4,implies(X5,X3)),X6),implies(implies(X2,X3),implies(X5,X2))))
      | is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3)))))) ),
    inference(resolution,[],[f12,f4]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
    inference(resolution,[],[f8,f2]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ is_a_theorem(implies(implies(implies(X4,X5),X6),implies(implies(X7,implies(X8,X4)),implies(X2,implies(implies(X3,X4),implies(X4,X5))))))
      | is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,X5)))))) ),
    inference(resolution,[],[f8,f4]) ).

fof(f17,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
    inference(resolution,[],[f14,f1]) ).

fof(f23,definition,
    ( spl0_1
  <=> ! [X2,X1,X3,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f24,plain,
    ( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f26,definition,
    ( spl0_2
  <=> ! [X0] : ~ is_a_theorem(X0) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f27,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f28,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f26,f23]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))
      | ~ is_a_theorem(implies(implies(X2,X6),implies(X5,implies(X4,implies(X5,X3))))) ),
    inference(resolution,[],[f13,f4]) ).

fof(f32,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f2]) ).

fof(f36,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f41,plain,
    ( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))))
    | ~ spl0_1 ),
    inference(resolution,[],[f24,f6]) ).

fof(f51,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f41,f1]) ).

fof(f56,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(X5,X2))))))
    | ~ spl0_1 ),
    inference(resolution,[],[f41,f12]) ).

fof(f61,definition,
    ( spl0_3
  <=> ! [X4,X3,X2,X1] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f62,plain,
    ( ! [X2,X3,X1,X4] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f63,plain,
    ( spl0_3
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f51,f23,f26,f61]) ).

fof(f77,plain,
    ( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,X4))))))
    | ~ spl0_3 ),
    inference(resolution,[],[f62,f15]) ).

fof(f200,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))
      | ~ is_a_theorem(X5)
      | is_a_theorem(implies(X6,implies(implies(X0,X4),implies(X3,implies(X2,X4))))) ),
    inference(resolution,[],[f30,f1]) ).

fof(f211,definition,
    ( spl0_11
  <=> ! [X6,X4,X0,X3,X2,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))
        | is_a_theorem(implies(X6,implies(implies(X0,X4),implies(X3,implies(X2,X4))))) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X2,X3,X0,X1,X6,X4] :
        ( is_a_theorem(implies(X6,implies(implies(X0,X4),implies(X3,implies(X2,X4)))))
        | ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4))))) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f213,plain,
    ( spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f200,f211,f26]) ).

fof(f445,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,X4))))) )
    | ~ spl0_3 ),
    inference(resolution,[],[f77,f1]) ).

fof(f457,definition,
    ( spl0_25
  <=> ! [X4,X2,X1,X3] : is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,X4))))) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f458,plain,
    ( ! [X2,X3,X1,X4] : is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,X4)))))
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f459,plain,
    ( spl0_25
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f445,f61,f26,f457]) ).

fof(f478,plain,
    ( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))))
    | ~ spl0_25 ),
    inference(resolution,[],[f458,f6]) ).

fof(f788,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))) )
    | ~ spl0_25 ),
    inference(resolution,[],[f478,f1]) ).

fof(f799,definition,
    ( spl0_41
  <=> ! [X2,X4,X1,X3] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f800,plain,
    ( ! [X2,X3,X1,X4] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3)))))
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f801,plain,
    ( spl0_41
    | spl0_2
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f788,f457,f26,f799]) ).

fof(f819,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))) )
    | ~ spl0_41 ),
    inference(resolution,[],[f800,f1]) ).

fof(f830,definition,
    ( spl0_43
  <=> ! [X2,X1,X3] : is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f831,plain,
    ( ! [X2,X3,X1] : is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2))))
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f832,plain,
    ( spl0_43
    | spl0_2
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f819,f799,f26,f830]) ).

fof(f1170,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(X5,X2))))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f56,f1]) ).

fof(f1181,definition,
    ( spl0_59
  <=> ! [X3,X4,X5,X2,X1] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(X5,X2))))) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f1182,plain,
    ( ! [X2,X3,X1,X4,X5] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(X5,X2)))))
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1183,plain,
    ( spl0_59
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1170,f23,f26,f1181]) ).

fof(f1201,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(X4,X1)))) )
    | ~ spl0_59 ),
    inference(resolution,[],[f1182,f1]) ).

fof(f1212,definition,
    ( spl0_61
  <=> ! [X4,X3,X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(X4,X1)))) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f1213,plain,
    ( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(X4,X1))))
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f1212]) ).

fof(f1214,plain,
    ( spl0_61
    | spl0_2
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1201,f1181,f26,f1212]) ).

fof(f1235,plain,
    ( ! [X2,X3,X0,X1] :
        ( is_a_theorem(implies(X2,implies(X3,X0)))
        | ~ is_a_theorem(implies(implies(X0,X1),X0)) )
    | ~ spl0_61 ),
    inference(resolution,[],[f1213,f1]) ).

fof(f1255,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X0))
        | ~ is_a_theorem(X2)
        | is_a_theorem(implies(X3,X0)) )
    | ~ spl0_61 ),
    inference(resolution,[],[f1235,f1]) ).

fof(f1267,definition,
    ( spl0_63
  <=> ! [X0,X1,X3] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X0))
        | is_a_theorem(implies(X3,X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f1268,plain,
    ( ! [X3,X0,X1] :
        ( is_a_theorem(implies(X3,X0))
        | ~ is_a_theorem(implies(implies(X0,X1),X0)) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f1269,plain,
    ( spl0_2
    | spl0_63
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1255,f1212,f1267,f26]) ).

fof(f1305,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X0))
        | ~ is_a_theorem(X2)
        | is_a_theorem(X0) )
    | ~ spl0_63 ),
    inference(resolution,[],[f1268,f1]) ).

fof(f1319,definition,
    ( spl0_66
  <=> ! [X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X0))
        | is_a_theorem(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f1320,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X0)
        | ~ is_a_theorem(implies(implies(X0,X1),X0)) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f1319]) ).

fof(f1321,plain,
    ( spl0_2
    | spl0_66
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1305,f1267,f1319,f26]) ).

fof(f1363,plain,
    ( ! [X0] : ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,b),b)),X0),implies(a,implies(implies(a,b),b))))
    | ~ spl0_66 ),
    inference(resolution,[],[f1320,f3]) ).

fof(f1421,plain,
    ( ! [X0] : ~ is_a_theorem(implies(implies(b,X0),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))
    | ~ spl0_66 ),
    inference(resolution,[],[f1363,f4]) ).

fof(f1451,plain,
    ( ! [X0] : ~ is_a_theorem(implies(implies(a,X0),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))
    | ~ spl0_11
    | ~ spl0_66 ),
    inference(resolution,[],[f1421,f212]) ).

fof(f1852,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_43
    | ~ spl0_66 ),
    inference(resolution,[],[f1451,f831]) ).

fof(f1874,plain,
    ( ~ spl0_11
    | ~ spl0_43
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f1852]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f28]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f36]) ).

cnf(s4,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s12,plain,
    ( spl0_2
    | spl0_11 ),
    inference(sat_conversion,[],[f213]) ).

cnf(s24,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_25 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s40,plain,
    ( spl0_2
    | ~ spl0_25
    | spl0_41 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s42,plain,
    ( spl0_2
    | ~ spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s58,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_59 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s60,plain,
    ( spl0_2
    | ~ spl0_59
    | spl0_61 ),
    inference(sat_conversion,[],[f1214]) ).

cnf(s62,plain,
    ( spl0_2
    | ~ spl0_61
    | spl0_63 ),
    inference(sat_conversion,[],[f1269]) ).

cnf(s65,plain,
    ( spl0_2
    | ~ spl0_63
    | spl0_66 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s95,plain,
    ( ~ spl0_11
    | ~ spl0_43
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s138,plain,
    spl0_11,
    inference(rat,[],[s12,s3]) ).

cnf(s152,plain,
    spl0_1,
    inference(rat,[],[s1,s3]) ).

cnf(s155,plain,
    spl0_59,
    inference(rat,[],[s58,s3,s152]) ).

cnf(s162,plain,
    spl0_3,
    inference(rat,[],[s4,s3,s152]) ).

cnf(s163,plain,
    spl0_61,
    inference(rat,[],[s60,s3,s155]) ).

cnf(s165,plain,
    spl0_25,
    inference(rat,[],[s24,s3,s162]) ).

cnf(s166,plain,
    spl0_63,
    inference(rat,[],[s62,s3,s163]) ).

cnf(s167,plain,
    spl0_41,
    inference(rat,[],[s40,s3,s165]) ).

cnf(s169,plain,
    spl0_66,
    inference(rat,[],[s65,s3,s166]) ).

cnf(s171,plain,
    spl0_43,
    inference(rat,[],[s42,s3,s167]) ).

cnf(s173,plain,
    $false,
    inference(rat,[],[s95,s138,s169,s171]) ).

fof(f1878,plain,
    $false,
    inference(avatar_sat_refutation,[],[s173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL095-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36  % Computer : n007.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sun Sep 27 15:19:40 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42  Running first-order theorem proving
% 0.14/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.15/2.03  % (1576320)Input is clausal, will run a generic CNF schedule.
% 2.15/2.03  % (1576328)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3538619371:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.15/2.03  % (1576326)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=1933020035:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.15/2.03  % (1576330)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=92697651:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.15/2.03  % (1576329)lrs+10_1_sil=8000:sp=occurrence:random_seed=3173453497:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.15/2.03  % (1576327)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3722894818:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.15/2.03  % (1576332)dis-21_1_sil=8000:lcm=predicate:random_seed=1720559019: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)
% 2.15/2.03  % (1576331)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4197907308:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.15/2.03  % (1576329)Instruction limit reached! 
% 2.15/2.03  % (1576329)------------------------------
% 2.15/2.03  % (1576329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/2.03  % (1576329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/2.03  % (1576329)CaDiCaL version: 2.1.3
% 2.15/2.03  % (1576329)Termination reason: Instruction limit
% 2.15/2.03  % (1576329)Termination phase: Saturation
% 2.15/2.03  % (1576329)Time elapsed: 0.108 s
% 2.15/2.03  % (1576329)Peak memory usage: 89 MB
% 2.15/2.03  % (1576329)Instructions burned: 107 (million)
% 2.15/2.03  % (1576330)Instruction limit reached! 
% 2.15/2.03  % (1576330)------------------------------
% 2.15/2.03  % (1576330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/2.03  % (1576330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/2.03  % (1576330)CaDiCaL version: 2.1.3
% 2.15/2.03  % (1576330)Termination reason: Instruction limit
% 2.15/2.03  % (1576330)Termination phase: Saturation
% 2.15/2.03  % (1576330)Time elapsed: 0.114 s
% 2.15/2.03  % (1576330)Peak memory usage: 88 MB
% 2.15/2.03  % (1576330)Instructions burned: 115 (million)
% 2.15/2.03  % (1576331)First to succeed.
% 2.15/2.03  % (1576331)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1576320"
% 2.15/2.03  % (1576332)Instruction limit reached! 
% 2.15/2.03  % (1576332)------------------------------
% 2.15/2.03  % (1576332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/2.03  % (1576332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/2.03  % (1576332)CaDiCaL version: 2.1.3
% 2.15/2.03  % (1576332)Termination reason: Instruction limit
% 2.15/2.03  % (1576332)Termination phase: Saturation
% 2.15/2.03  % (1576332)Time elapsed: 0.123 s
% 2.15/2.03  % (1576332)Peak memory usage: 88 MB
% 2.15/2.03  % (1576332)Instructions burned: 117 (million)
% 2.15/2.03  % (1576340)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=3148317829:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 2.15/2.03  % (1576341)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=571403418:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 2.15/2.03  % (1576340)Refutation not found, incomplete strategy
% 2.15/2.03  % (1576340)------------------------------
% 2.15/2.03  % (1576340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/2.03  % (1576340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/2.03  % (1576340)CaDiCaL version: 2.1.3
% 2.15/2.03  % (1576340)Termination reason: Refutation not found, incomplete strategy
% 2.15/2.03  % (1576340)Time elapsed: 0.001 s
% 2.15/2.03  % (1576340)Peak memory usage: 87 MB
% 2.15/2.03  % (1576342)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=470401936:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 2.15/2.03  % (1576342)Refutation not found, incomplete strategy
% 2.15/2.03  % (1576342)------------------------------
% 2.15/2.03  % (1576342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/2.03  % (1576342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/2.03  % (1576342)CaDiCaL version: 2.1.3
% 2.15/2.03  % (1576342)Termination reason: Refutation not found, incomplete strategy
% 2.15/2.03  % (1576342)Time elapsed: 0.001 s
% 2.15/2.03  % (1576342)Peak memory usage: 87 MB
% 2.15/2.03  % (1576331)Refutation found. Thanks to Tanya!
% 2.15/2.03  % SZS status Unsatisfiable for theBenchmark
% 2.15/2.03  % SZS output start Proof for theBenchmark
% See solution above
% 6.87/2.36  % (1576331)------------------------------
% 6.87/2.36  % (1576331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.36  % (1576331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.36  % (1576331)CaDiCaL version: 2.1.3
% 6.87/2.36  % (1576331)Termination reason: Refutation
% 6.87/2.36  % (1576331)Time elapsed: 0.113 s
% 6.87/2.36  % (1576331)Peak memory usage: 90 MB
% 6.87/2.36  % (1576331)Instructions burned: 106 (million)
% 6.87/2.36  % (1576331)------------------------------
% 6.87/2.36  % (1576331)------------------------------
% 6.87/2.36  % (1576320)Success in time 0.832 s
% 6.87/2.36  % Vampire exiting
%------------------------------------------------------------------------------