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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC295-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:03:20 PM UTC 2026

% Result   : Unsatisfiable 4.40s 1.36s
% Output   : Refutation 5.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  192 (  33 unt;  18 def)
%            Number of atoms       :  556 (  79 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  682 ( 318   ~; 346   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  19 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( tl(cons(X0,X1)) = X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f121,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f122,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(reorient_equations,[],[f121]) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f124,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    inference(reorient_equations,[],[f123]) ).

fof(f144,axiom,
    ! [X0,X1] :
      ( tl(app(X1,X0)) = app(tl(X1),X0)
      | ~ ssList(X1)
      | nil = X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f173,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | X2 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | X0 = X2 ),
    inference(reorient_equations,[],[f173]) ).

fof(f189,axiom,
    ! [X2,X3,X0,X1] :
      ( app(X0,cons(X1,X2)) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | memberP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,plain,
    sk1 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(reorient_equations,[],[f209]) ).

fof(f211,negated_conjecture,
    ssItem(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f212,negated_conjecture,
    ( memberP(sk6,sk8)
    | memberP(sk7,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f217,negated_conjecture,
    ( ssItem(sk9)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f222,negated_conjecture,
    ( cons(sk9,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).

fof(f223,plain,
    ( sk3 = cons(sk9,nil)
    | nil = sk3 ),
    inference(reorient_equations,[],[f222]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X0,cons(X1,X2)),X1)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f189]) ).

fof(f246,definition,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f248,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f259,definition,
    ( spl0_4
  <=> sk3 = cons(sk9,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f261,plain,
    ( sk3 = cons(sk9,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f223,f259,f246]) ).

fof(f271,definition,
    ( spl0_6
  <=> ssItem(sk9) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f273,plain,
    ( ssItem(sk9)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f274,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f217,f271,f246]) ).

fof(f286,definition,
    ( spl0_9
  <=> memberP(sk7,sk8) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f288,plain,
    ( memberP(sk7,sk8)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f291,definition,
    ( spl0_10
  <=> memberP(sk6,sk8) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f293,plain,
    ( memberP(sk6,sk8)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f295,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f212,f291,f286]) ).

fof(f323,plain,
    ( ssList(cons(sk9,nil))
    | ~ spl0_4 ),
    inference(superposition,[],[f202,f261]) ).

fof(f328,definition,
    ( spl0_13
  <=> ssList(cons(sk5,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f329,plain,
    ( ssList(cons(sk5,nil))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f330,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f336,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_13 ),
    inference(resolution,[],[f330,f86]) ).

fof(f337,plain,
    ( ~ ssItem(sk5)
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f336,f8]) ).

fof(f338,plain,
    ( $false
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f337,f206]) ).

fof(f339,plain,
    spl0_13,
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f341,plain,
    sk3 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(superposition,[],[f205,f210]) ).

fof(f342,plain,
    ( app(app(sk6,cons(sk5,nil)),sk7) = cons(sk9,nil)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f341,f261]) ).

fof(f381,plain,
    ( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(cons(sk9,nil))
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | nil = app(sk6,cons(sk5,nil))
    | ~ ssList(sk7)
    | ~ spl0_4 ),
    inference(superposition,[],[f144,f342]) ).

fof(f383,plain,
    ( ! [X0] :
        ( memberP(cons(sk9,nil),X0)
        | ~ ssList(sk7)
        | ~ ssList(app(sk6,cons(sk5,nil)))
        | ~ ssItem(X0)
        | ~ memberP(app(sk6,cons(sk5,nil)),X0) )
    | ~ spl0_4 ),
    inference(superposition,[],[f151,f342]) ).

fof(f400,plain,
    ( ! [X0] :
        ( memberP(cons(sk9,nil),X0)
        | ~ ssList(app(sk6,cons(sk5,nil)))
        | ~ ssItem(X0)
        | ~ memberP(app(sk6,cons(sk5,nil)),X0) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f383,f208]) ).

fof(f402,plain,
    ( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(cons(sk9,nil))
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | nil = app(sk6,cons(sk5,nil))
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f381,f208]) ).

fof(f410,definition,
    ( spl0_15
  <=> ssList(app(sk6,cons(sk5,nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f411,plain,
    ( ssList(app(sk6,cons(sk5,nil)))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f412,plain,
    ( ~ ssList(app(sk6,cons(sk5,nil)))
    | spl0_15 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f436,definition,
    ( spl0_21
  <=> ! [X0] :
        ( memberP(cons(sk9,nil),X0)
        | ~ memberP(app(sk6,cons(sk5,nil)),X0)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X0] :
        ( ~ memberP(app(sk6,cons(sk5,nil)),X0)
        | memberP(cons(sk9,nil),X0)
        | ~ ssItem(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( ~ spl0_15
    | spl0_21
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f400,f259,f436,f410]) ).

fof(f444,definition,
    ( spl0_23
  <=> nil = app(sk6,cons(sk5,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f445,plain,
    ( nil != app(sk6,cons(sk5,nil))
    | spl0_23 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f446,plain,
    ( nil = app(sk6,cons(sk5,nil))
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f448,definition,
    ( spl0_24
  <=> app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(cons(sk9,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f450,plain,
    ( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(cons(sk9,nil))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f451,plain,
    ( spl0_23
    | ~ spl0_15
    | spl0_24
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f402,f259,f448,f410,f444]) ).

fof(f458,definition,
    ( spl0_26
  <=> nil = sk7 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f460,plain,
    ( nil = sk7
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f476,plain,
    ( ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | spl0_15 ),
    inference(resolution,[],[f412,f85]) ).

fof(f477,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_15 ),
    inference(forward_subsumption_resolution,[],[f476,f207]) ).

fof(f478,plain,
    ( $false
    | ~ spl0_13
    | spl0_15 ),
    inference(forward_subsumption_resolution,[],[f477,f329]) ).

fof(f479,plain,
    ( ~ spl0_13
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f478]) ).

fof(f490,plain,
    ( memberP(nil,sk5)
    | ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | ~ spl0_23 ),
    inference(superposition,[],[f228,f446]) ).

fof(f508,plain,
    ( memberP(nil,sk5)
    | ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f490]) ).

fof(f522,plain,
    ( ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f508,f71]) ).

fof(f541,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f522,f207]) ).

fof(f551,definition,
    ( spl0_29
  <=> nil = sk6 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f552,plain,
    ( nil != sk6
    | spl0_29 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( nil = sk6
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f565,plain,
    ( ~ ssList(nil)
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f541,f206]) ).

fof(f572,plain,
    ( $false
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f565,f8]) ).

fof(f573,plain,
    ~ spl0_23,
    inference(avatar_contradiction_clause,[],[f572]) ).

fof(f849,plain,
    ( nil != tl(cons(sk9,nil))
    | ~ ssList(sk7)
    | ~ ssList(tl(app(sk6,cons(sk5,nil))))
    | nil = tl(app(sk6,cons(sk5,nil)))
    | ~ spl0_24 ),
    inference(superposition,[],[f122,f450]) ).

fof(f850,plain,
    ( nil != tl(cons(sk9,nil))
    | ~ ssList(sk7)
    | ~ ssList(tl(app(sk6,cons(sk5,nil))))
    | nil = sk7
    | ~ spl0_24 ),
    inference(superposition,[],[f124,f450]) ).

fof(f875,plain,
    ( nil != tl(cons(sk9,nil))
    | ~ ssList(tl(app(sk6,cons(sk5,nil))))
    | nil = sk7
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f850,f208]) ).

fof(f876,plain,
    ( nil != tl(cons(sk9,nil))
    | ~ ssList(tl(app(sk6,cons(sk5,nil))))
    | nil = tl(app(sk6,cons(sk5,nil)))
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f849,f208]) ).

fof(f913,definition,
    ( spl0_51
  <=> nil = tl(cons(sk9,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f915,plain,
    ( nil != tl(cons(sk9,nil))
    | spl0_51 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f980,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ ssItem(sk5)
    | ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_21 ),
    inference(resolution,[],[f437,f228]) ).

fof(f986,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ ssItem(sk5)
    | ~ ssList(sk6)
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f980]) ).

fof(f989,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ ssList(sk6)
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f986,f206]) ).

fof(f992,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f989,f207]) ).

fof(f994,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ ssList(nil)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f992,f411]) ).

fof(f995,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f994,f8]) ).

fof(f996,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk9)
    | ~ ssItem(sk5)
    | memberP(nil,sk5)
    | sk5 = sk9
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(resolution,[],[f995,f174]) ).

fof(f997,plain,
    ( ~ ssItem(sk9)
    | ~ ssItem(sk5)
    | memberP(nil,sk5)
    | sk5 = sk9
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f996,f8]) ).

fof(f998,plain,
    ( ~ ssItem(sk5)
    | memberP(nil,sk5)
    | sk5 = sk9
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f997,f273]) ).

fof(f999,plain,
    ( memberP(nil,sk5)
    | sk5 = sk9
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f998,f206]) ).

fof(f1001,definition,
    ( spl0_63
  <=> sk5 = sk9 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f1003,plain,
    ( sk5 = sk9
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1005,definition,
    ( spl0_64
  <=> memberP(nil,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f1007,plain,
    ( memberP(nil,sk5)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1017,plain,
    ( spl0_63
    | spl0_64
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f999,f436,f410,f271,f1005,f1001]) ).

fof(f1050,definition,
    ( spl0_65
  <=> ssList(tl(app(sk6,cons(sk5,nil)))) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f1052,plain,
    ( ~ ssList(tl(app(sk6,cons(sk5,nil))))
    | spl0_65 ),
    inference(avatar_component_clause,[],[f1050]) ).

fof(f1086,definition,
    ( spl0_73
  <=> nil = tl(app(sk6,cons(sk5,nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f1088,plain,
    ( nil = tl(app(sk6,cons(sk5,nil)))
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f1086]) ).

fof(f1099,plain,
    ( spl0_26
    | ~ spl0_65
    | ~ spl0_51
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f875,f448,f913,f1050,f458]) ).

fof(f1100,plain,
    ( spl0_73
    | ~ spl0_65
    | ~ spl0_51
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f876,f448,f913,f1050,f1086]) ).

fof(f1185,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_64 ),
    inference(resolution,[],[f1007,f71]) ).

fof(f1186,plain,
    ( $false
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1185,f206]) ).

fof(f1187,plain,
    ~ spl0_64,
    inference(avatar_contradiction_clause,[],[f1186]) ).

fof(f1462,plain,
    ( ~ ssList(app(sk6,cons(sk5,nil)))
    | nil = app(sk6,cons(sk5,nil))
    | spl0_65 ),
    inference(resolution,[],[f1052,f75]) ).

fof(f1469,plain,
    ( nil = app(sk6,cons(sk5,nil))
    | ~ spl0_15
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f1462,f411]) ).

fof(f1473,plain,
    ( $false
    | ~ spl0_15
    | spl0_23
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f1469,f445]) ).

fof(f1474,plain,
    ( ~ spl0_15
    | spl0_23
    | spl0_65 ),
    inference(avatar_contradiction_clause,[],[f1473]) ).

fof(f1485,plain,
    ( nil = tl(app(sk6,cons(sk9,nil)))
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(forward_demodulation,[],[f1088,f1003]) ).

fof(f1486,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sk9)
    | spl0_51 ),
    inference(superposition,[],[f915,f96]) ).

fof(f1487,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk9)
    | spl0_51 ),
    inference(trivial_inequality_removal,[],[f1486]) ).

fof(f1488,plain,
    ( ~ ssItem(sk9)
    | spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1487,f8]) ).

fof(f1489,plain,
    ( $false
    | ~ spl0_6
    | spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1488,f273]) ).

fof(f1490,plain,
    ( ~ spl0_6
    | spl0_51 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1492,plain,
    ( memberP(nil,sk8)
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(superposition,[],[f288,f460]) ).

fof(f1517,plain,
    ( ~ ssItem(sk8)
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(resolution,[],[f1492,f71]) ).

fof(f1518,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f1517,f211]) ).

fof(f1519,plain,
    ( ~ spl0_9
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1518]) ).

fof(f1728,plain,
    ( nil = app(tl(sk6),cons(sk9,nil))
    | ~ ssList(sk6)
    | nil = sk6
    | ~ ssList(cons(sk9,nil))
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(superposition,[],[f144,f1485]) ).

fof(f1733,plain,
    ( nil = app(tl(sk6),cons(sk9,nil))
    | nil = sk6
    | ~ ssList(cons(sk9,nil))
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f1728,f207]) ).

fof(f1736,plain,
    ( nil = app(tl(sk6),cons(sk9,nil))
    | ~ ssList(cons(sk9,nil))
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f1733,f552]) ).

fof(f1739,plain,
    ( nil = app(tl(sk6),cons(sk9,nil))
    | ~ spl0_4
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f1736,f323]) ).

fof(f2214,plain,
    ( memberP(nil,sk9)
    | ~ ssList(tl(sk6))
    | ~ ssItem(sk9)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | ~ spl0_4
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(superposition,[],[f228,f1739]) ).

fof(f2232,plain,
    ( memberP(nil,sk9)
    | ~ ssList(tl(sk6))
    | ~ ssItem(sk9)
    | ~ ssList(nil)
    | ~ spl0_4
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(duplicate_literal_removal,[],[f2214]) ).

fof(f2246,plain,
    ( ~ ssList(tl(sk6))
    | ~ ssItem(sk9)
    | ~ ssList(nil)
    | ~ spl0_4
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f2232,f71]) ).

fof(f2254,definition,
    ( spl0_92
  <=> ssList(tl(sk6)) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f2256,plain,
    ( ~ ssList(tl(sk6))
    | spl0_92 ),
    inference(avatar_component_clause,[],[f2254]) ).

fof(f2293,plain,
    ( ~ ssList(tl(sk6))
    | ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_6
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f2246,f273]) ).

fof(f2313,plain,
    ( ~ ssList(tl(sk6))
    | ~ spl0_4
    | ~ spl0_6
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f2293,f8]) ).

fof(f2334,plain,
    ( ~ spl0_92
    | ~ spl0_4
    | ~ spl0_6
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2313,f1086,f1001,f551,f271,f259,f2254]) ).

fof(f2358,plain,
    ( ~ ssList(sk6)
    | nil = sk6
    | spl0_92 ),
    inference(resolution,[],[f2256,f75]) ).

fof(f2361,plain,
    ( nil = sk6
    | spl0_92 ),
    inference(forward_subsumption_resolution,[],[f2358,f207]) ).

fof(f2364,plain,
    ( $false
    | spl0_29
    | spl0_92 ),
    inference(forward_subsumption_resolution,[],[f2361,f552]) ).

fof(f2365,plain,
    ( spl0_29
    | spl0_92 ),
    inference(avatar_contradiction_clause,[],[f2364]) ).

fof(f2435,plain,
    ( memberP(nil,sk8)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(superposition,[],[f293,f553]) ).

fof(f2766,plain,
    ( ~ ssItem(sk8)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(resolution,[],[f2435,f71]) ).

fof(f2767,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f2766,f211]) ).

fof(f2768,plain,
    ( ~ spl0_10
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f2767]) ).

fof(f3043,plain,
    ( nil = app(app(sk6,cons(sk5,nil)),sk7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f341,f248]) ).

fof(f3060,plain,
    ( nil != nil
    | ~ ssList(sk7)
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | nil = app(sk6,cons(sk5,nil))
    | ~ spl0_1 ),
    inference(superposition,[],[f122,f3043]) ).

fof(f3075,plain,
    ( ~ ssList(sk7)
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | nil = app(sk6,cons(sk5,nil))
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f3060]) ).

fof(f3087,plain,
    ( ~ ssList(app(sk6,cons(sk5,nil)))
    | nil = app(sk6,cons(sk5,nil))
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f3075,f208]) ).

fof(f3101,plain,
    ( nil = app(sk6,cons(sk5,nil))
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f3087,f411]) ).

fof(f3110,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_15
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f3101,f445]) ).

fof(f3111,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_23 ),
    inference(avatar_contradiction_clause,[],[f3110]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s7,plain,
    ( spl0_1
    | spl0_6 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s12,plain,
    ( spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s16,plain,
    spl0_13,
    inference(sat_conversion,[],[f339]) ).

cnf(s24,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | spl0_21 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s26,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s31,plain,
    ( ~ spl0_13
    | spl0_15 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s35,plain,
    ~ spl0_23,
    inference(sat_conversion,[],[f573]) ).

cnf(s73,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_21
    | spl0_63
    | spl0_64 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s90,plain,
    ( ~ spl0_24
    | spl0_26
    | ~ spl0_51
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s91,plain,
    ( ~ spl0_24
    | ~ spl0_51
    | ~ spl0_65
    | spl0_73 ),
    inference(sat_conversion,[],[f1100]) ).

cnf(s93,plain,
    ~ spl0_64,
    inference(sat_conversion,[],[f1187]) ).

cnf(s108,plain,
    ( ~ spl0_15
    | spl0_23
    | spl0_65 ),
    inference(sat_conversion,[],[f1474]) ).

cnf(s109,plain,
    ( ~ spl0_6
    | spl0_51 ),
    inference(sat_conversion,[],[f1490]) ).

cnf(s111,plain,
    ( ~ spl0_9
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s140,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | spl0_29
    | ~ spl0_63
    | ~ spl0_73
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f2334]) ).

cnf(s142,plain,
    ( spl0_29
    | spl0_92 ),
    inference(sat_conversion,[],[f2365]) ).

cnf(s157,plain,
    ( ~ spl0_10
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f2768]) ).

cnf(s171,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_23 ),
    inference(sat_conversion,[],[f3111]) ).

cnf(s172,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_21
    | spl0_63 ),
    inference(rat,[],[s73,s93]) ).

cnf(s185,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | spl0_24 ),
    inference(rat,[],[s26,s35]) ).

cnf(s186,plain,
    spl0_15,
    inference(rat,[],[s31,s16]) ).

cnf(s187,plain,
    ~ spl0_1,
    inference(rat,[],[s171,s35,s186]) ).

cnf(s188,plain,
    spl0_65,
    inference(rat,[],[s108,s35,s186]) ).

cnf(s190,plain,
    spl0_6,
    inference(rat,[],[s7,s187]) ).

cnf(s193,plain,
    spl0_51,
    inference(rat,[],[s109,s190]) ).

cnf(s195,plain,
    spl0_4,
    inference(rat,[],[s3,s187]) ).

cnf(s201,plain,
    spl0_24,
    inference(rat,[],[s185,s186,s195]) ).

cnf(s203,plain,
    spl0_21,
    inference(rat,[],[s24,s186,s195]) ).

cnf(s210,plain,
    spl0_73,
    inference(rat,[],[s91,s193,s188,s201]) ).

cnf(s211,plain,
    spl0_26,
    inference(rat,[],[s90,s188,s193,s201]) ).

cnf(s221,plain,
    spl0_63,
    inference(rat,[],[s172,s190,s186,s203]) ).

cnf(s222,plain,
    ~ spl0_9,
    inference(rat,[],[s111,s211]) ).

cnf(s225,plain,
    spl0_10,
    inference(rat,[],[s12,s222]) ).

cnf(s227,plain,
    ~ spl0_29,
    inference(rat,[],[s157,s225]) ).

cnf(s228,plain,
    spl0_92,
    inference(rat,[],[s142,s227]) ).

cnf(s230,plain,
    $false,
    inference(rat,[],[s140,s221,s210,s195,s190,s228,s227]) ).

fof(f3115,plain,
    $false,
    inference(avatar_sat_refutation,[],[s230]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC295-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n026.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 08:58:27 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.40/1.36  % (3707875)Input is clausal, will run a generic CNF schedule.
% 4.40/1.36  % (3707883)lrs+10_1_sil=8000:sp=occurrence:random_seed=3292986684:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.40/1.36  % (3707885)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=253984453:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.40/1.36  % (3707881)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1184545473:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.40/1.36  % (3707880)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=900137283:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.40/1.36  % (3707882)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2141152854:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.40/1.36  % (3707883)Instruction limit reached! 
% 4.40/1.36  % (3707883)------------------------------
% 4.40/1.36  % (3707883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707883)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707883)Termination reason: Instruction limit
% 4.40/1.36  % (3707883)Termination phase: Saturation
% 4.40/1.36  % (3707883)Time elapsed: 0.035 s
% 4.40/1.36  % (3707883)Peak memory usage: 90 MB
% 4.40/1.36  % (3707883)Instructions burned: 109 (million)
% 4.40/1.36  % (3707886)dis-21_1_sil=8000:lcm=predicate:random_seed=1727047620: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)
% 4.40/1.36  % (3707884)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=552095800:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.40/1.36  % (3707886)Instruction limit reached! 
% 4.40/1.36  % (3707886)------------------------------
% 4.40/1.36  % (3707886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707886)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707886)Termination reason: Instruction limit
% 4.40/1.36  % (3707886)Termination phase: Saturation
% 4.40/1.36  % (3707886)Time elapsed: 0.055 s
% 4.40/1.36  % (3707886)Peak memory usage: 89 MB
% 4.40/1.36  % (3707886)Instructions burned: 119 (million)
% 4.40/1.36  % (3707884)Instruction limit reached! 
% 4.40/1.36  % (3707884)------------------------------
% 4.40/1.36  % (3707884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707884)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707884)Termination reason: Instruction limit
% 4.40/1.36  % (3707884)Termination phase: Saturation
% 4.40/1.36  % (3707884)Time elapsed: 0.070 s
% 4.40/1.36  % (3707884)Peak memory usage: 89 MB
% 4.40/1.36  % (3707884)Instructions burned: 116 (million)
% 4.40/1.36  % (3707894)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=3757718108:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.40/1.36  % (3707885)Instruction limit reached! 
% 4.40/1.36  % (3707885)------------------------------
% 4.40/1.36  % (3707885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707885)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707885)Termination reason: Instruction limit
% 4.40/1.36  % (3707885)Termination phase: Saturation
% 4.40/1.36  % (3707885)Time elapsed: 0.126 s
% 4.40/1.36  % (3707885)Peak memory usage: 90 MB
% 4.40/1.36  % (3707885)Instructions burned: 181 (million)
% 4.40/1.36  % (3707894)Instruction limit reached! 
% 4.40/1.36  % (3707894)------------------------------
% 4.40/1.36  % (3707894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707894)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707894)Termination reason: Instruction limit
% 4.40/1.36  % (3707894)Termination phase: Saturation
% 4.40/1.36  % (3707894)Time elapsed: 0.052 s
% 4.40/1.36  % (3707894)Peak memory usage: 90 MB
% 4.40/1.36  % (3707894)Instructions burned: 144 (million)
% 4.40/1.36  % (3707895)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3040486083: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)
% 4.40/1.36  % (3707896)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2676677312:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.40/1.36  % (3707899)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3121706757:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.40/1.36  % (3707898)lrs+10_64_to=lpo:sil=8000:random_seed=3322369321:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.40/1.36  % (3707896)First to succeed.
% 4.40/1.36  % (3707896)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3707875"
% 4.40/1.36  % (3707895)Instruction limit reached! 
% 4.40/1.36  % (3707895)------------------------------
% 4.40/1.36  % (3707895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707895)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707895)Termination reason: Instruction limit
% 4.40/1.36  % (3707895)Termination phase: Saturation
% 4.40/1.36  % (3707895)Time elapsed: 0.101 s
% 4.40/1.36  % (3707895)Peak memory usage: 92 MB
% 4.40/1.36  % (3707895)Instructions burned: 191 (million)
% 4.40/1.36  % (3707899)Instruction limit reached! 
% 4.40/1.36  % (3707899)------------------------------
% 4.40/1.36  % (3707899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707899)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707899)Termination reason: Instruction limit
% 4.40/1.36  % (3707899)Termination phase: Saturation
% 4.40/1.36  % (3707899)Time elapsed: 0.065 s
% 4.40/1.36  % (3707899)Peak memory usage: 91 MB
% 4.40/1.36  % (3707899)Instructions burned: 194 (million)
% 4.40/1.36  % (3707898)Instruction limit reached! 
% 4.40/1.36  % (3707898)------------------------------
% 4.40/1.36  % (3707898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707898)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707898)Termination reason: Instruction limit
% 4.40/1.36  % (3707898)Termination phase: Saturation
% 4.40/1.36  % (3707898)Time elapsed: 0.066 s
% 4.40/1.36  % (3707898)Peak memory usage: 90 MB
% 4.40/1.36  % (3707898)Instructions burned: 126 (million)
% 4.40/1.36  % (3707905)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2755902693:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.40/1.36  % (3707904)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3729219046:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.40/1.36  % (3707906)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=2554272009:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.40/1.36  % (3707906)Instruction limit reached! 
% 4.40/1.36  % (3707906)------------------------------
% 4.40/1.36  % (3707906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.36  % (3707906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.36  % (3707906)CaDiCaL version: 2.1.3
% 4.40/1.36  % (3707906)Termination reason: Instruction limit
% 4.40/1.36  % (3707906)Termination phase: Saturation
% 4.40/1.36  % (3707906)Time elapsed: 0.056 s
% 4.40/1.36  % (3707906)Peak memory usage: 90 MB
% 4.40/1.36  % (3707906)Instructions burned: 107 (million)
% 4.40/1.36  % (3707896)Refutation found. Thanks to Tanya!
% 4.40/1.36  % SZS status Unsatisfiable for theBenchmark
% 4.40/1.36  % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.55  % (3707896)------------------------------
% 5.41/1.55  % (3707896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.55  % (3707896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.55  % (3707896)CaDiCaL version: 2.1.3
% 5.41/1.55  % (3707896)Termination reason: Refutation
% 5.41/1.55  % (3707896)Time elapsed: 0.062 s
% 5.41/1.55  % (3707896)Peak memory usage: 90 MB
% 5.41/1.55  % (3707896)Instructions burned: 95 (million)
% 5.41/1.55  % (3707896)------------------------------
% 5.41/1.55  % (3707896)------------------------------
% 5.41/1.55  % (3707875)Success in time 0.684 s
% 5.41/1.55  % Vampire exiting
%------------------------------------------------------------------------------