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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC315+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 01:05:31 PM UTC 2026

% Result   : Theorem 5.36s 1.51s
% Output   : Refutation 5.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  177 (  13 unt;  19 def)
%            Number of atoms       :  522 ( 133 equ)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  608 ( 263   ~; 272   |;  25   &)
%                                         (  25 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  20 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   73 (   0 sgn  63   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ~ ssList(X3)
                  | X1 != X3
                  | X0 != X2
                  | ( nil != X2
                    & nil = X3 )
                  | ( ! [X4] :
                        ( ssItem(X4)
                       => ! [X5] :
                            ( ~ ssList(X5)
                            | app(cons(X4,nil),X5) != X1
                            | app(X5,cons(X4,nil)) = X0 ) )
                    & ( nil != X1
                      | nil = X0 ) )
                  | ( ! [X6] :
                        ( ssItem(X6)
                       => ! [X7] :
                            ( ~ ssList(X7)
                            | app(cons(X6,nil),X7) != X3
                            | app(X7,cons(X6,nil)) != X2 ) )
                    & neq(X3,nil) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ~ ssList(X3)
                    | X1 != X3
                    | X0 != X2
                    | ( nil != X2
                      & nil = X3 )
                    | ( ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ~ ssList(X5)
                              | app(cons(X4,nil),X5) != X1
                              | app(X5,cons(X4,nil)) = X0 ) )
                      & ( nil != X1
                        | nil = X0 ) )
                    | ( ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( ~ ssList(X7)
                              | app(cons(X6,nil),X7) != X3
                              | app(X7,cons(X6,nil)) != X2 ) )
                      & neq(X3,nil) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f100,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f128,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ssList(X3)
                  & X1 = X3
                  & X0 = X2
                  & ( nil = X2
                    | nil != X3 )
                  & ( ? [X4] :
                        ( ? [X5] :
                            ( ssList(X5)
                            & app(cons(X4,nil),X5) = X1
                            & app(X5,cons(X4,nil)) != X0 )
                        & ssItem(X4) )
                    | ( nil = X1
                      & nil != X0 ) )
                  & ( ? [X6] :
                        ( ? [X7] :
                            ( ssList(X7)
                            & app(cons(X6,nil),X7) = X3
                            & app(X7,cons(X6,nil)) = X2 )
                        & ssItem(X6) )
                    | ~ neq(X3,nil) ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(X1,nil) != X0
      | ~ ssItem(X1)
      | singletonP(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f305,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | hd(cons(X1,X0)) = X1 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | tl(cons(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f336,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f391,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f411,plain,
    ( nil != sK47
    | sK48 = app(cons(sK52,nil),sK54) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f412,plain,
    ( nil != sK47
    | ssList(sK54) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f413,plain,
    ( nil = sK48
    | sK47 != app(sK54,cons(sK52,nil)) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f414,plain,
    ( nil = sK48
    | sK48 = app(cons(sK52,nil),sK54) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f415,plain,
    ( nil = sK48
    | ssList(sK54) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f416,plain,
    ( ~ neq(sK50,nil)
    | sK49 = app(sK53,cons(sK51,nil)) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f417,plain,
    ( ~ neq(sK50,nil)
    | sK50 = app(cons(sK51,nil),sK53) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f418,plain,
    ( ~ neq(sK50,nil)
    | ssList(sK53) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f419,plain,
    ( nil = sK48
    | ssItem(sK52) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f420,plain,
    ( nil != sK47
    | ssItem(sK52) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f421,plain,
    ( ~ neq(sK50,nil)
    | ssItem(sK51) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f422,plain,
    ( nil != sK50
    | nil = sK49 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f423,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f221]) ).

fof(f424,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f221]) ).

fof(f425,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f221]) ).

fof(f431,plain,
    ( nil != sK49
    | ssItem(sK52) ),
    inference(definition_unfolding,[],[f420,f423]) ).

fof(f432,plain,
    ( nil = sK50
    | ssItem(sK52) ),
    inference(definition_unfolding,[],[f419,f424]) ).

fof(f433,plain,
    ( nil = sK50
    | ssList(sK54) ),
    inference(definition_unfolding,[],[f415,f424]) ).

fof(f434,plain,
    ( nil = sK50
    | sK50 = app(cons(sK52,nil),sK54) ),
    inference(definition_unfolding,[],[f414,f424,f424]) ).

fof(f435,plain,
    ( nil = sK50
    | sK49 != app(sK54,cons(sK52,nil)) ),
    inference(definition_unfolding,[],[f413,f424,f423]) ).

fof(f436,plain,
    ( nil != sK49
    | ssList(sK54) ),
    inference(definition_unfolding,[],[f412,f423]) ).

fof(f437,plain,
    ( nil != sK49
    | sK50 = app(cons(sK52,nil),sK54) ),
    inference(definition_unfolding,[],[f411,f423,f424]) ).

fof(f441,plain,
    ! [X1] :
      ( singletonP(cons(X1,nil))
      | ~ ssItem(X1)
      | ~ ssList(cons(X1,nil)) ),
    inference(equality_resolution,[],[f233]) ).

fof(f571,definition,
    ( spl55_1
  <=> sK49 = app(sK54,cons(sK52,nil)) ),
    introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).

fof(f573,plain,
    ( sK49 != app(sK54,cons(sK52,nil))
    | spl55_1 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f575,definition,
    ( spl55_2
  <=> nil = sK49 ),
    introduced(definition,[new_symbols(definition,[spl55_2])],[avatar_definition]) ).

fof(f580,definition,
    ( spl55_3
  <=> sK50 = app(cons(sK52,nil),sK54) ),
    introduced(definition,[new_symbols(definition,[spl55_3])],[avatar_definition]) ).

fof(f582,plain,
    ( sK50 = app(cons(sK52,nil),sK54)
    | ~ spl55_3 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f583,plain,
    ( spl55_3
    | ~ spl55_2 ),
    inference(avatar_split_clause,[],[f437,f575,f580]) ).

fof(f585,definition,
    ( spl55_4
  <=> ssList(sK54) ),
    introduced(definition,[new_symbols(definition,[spl55_4])],[avatar_definition]) ).

fof(f587,plain,
    ( ssList(sK54)
    | ~ spl55_4 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f588,plain,
    ( spl55_4
    | ~ spl55_2 ),
    inference(avatar_split_clause,[],[f436,f575,f585]) ).

fof(f590,definition,
    ( spl55_5
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl55_5])],[avatar_definition]) ).

fof(f593,plain,
    ( ~ spl55_1
    | spl55_5 ),
    inference(avatar_split_clause,[],[f435,f590,f571]) ).

fof(f594,plain,
    ( spl55_3
    | spl55_5 ),
    inference(avatar_split_clause,[],[f434,f590,f580]) ).

fof(f595,plain,
    ( spl55_4
    | spl55_5 ),
    inference(avatar_split_clause,[],[f433,f590,f585]) ).

fof(f597,definition,
    ( spl55_6
  <=> sK49 = app(sK53,cons(sK51,nil)) ),
    introduced(definition,[new_symbols(definition,[spl55_6])],[avatar_definition]) ).

fof(f599,plain,
    ( sK49 = app(sK53,cons(sK51,nil))
    | ~ spl55_6 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f601,definition,
    ( spl55_7
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl55_7])],[avatar_definition]) ).

fof(f603,plain,
    ( ~ neq(sK50,nil)
    | spl55_7 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f604,plain,
    ( spl55_6
    | ~ spl55_7 ),
    inference(avatar_split_clause,[],[f416,f601,f597]) ).

fof(f606,definition,
    ( spl55_8
  <=> sK50 = app(cons(sK51,nil),sK53) ),
    introduced(definition,[new_symbols(definition,[spl55_8])],[avatar_definition]) ).

fof(f608,plain,
    ( sK50 = app(cons(sK51,nil),sK53)
    | ~ spl55_8 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,plain,
    ( spl55_8
    | ~ spl55_7 ),
    inference(avatar_split_clause,[],[f417,f601,f606]) ).

fof(f611,definition,
    ( spl55_9
  <=> ssList(sK53) ),
    introduced(definition,[new_symbols(definition,[spl55_9])],[avatar_definition]) ).

fof(f613,plain,
    ( ssList(sK53)
    | ~ spl55_9 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f614,plain,
    ( spl55_9
    | ~ spl55_7 ),
    inference(avatar_split_clause,[],[f418,f601,f611]) ).

fof(f616,definition,
    ( spl55_10
  <=> ssItem(sK52) ),
    introduced(definition,[new_symbols(definition,[spl55_10])],[avatar_definition]) ).

fof(f618,plain,
    ( ssItem(sK52)
    | ~ spl55_10 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f619,plain,
    ( spl55_10
    | spl55_5 ),
    inference(avatar_split_clause,[],[f432,f590,f616]) ).

fof(f620,plain,
    ( spl55_10
    | ~ spl55_2 ),
    inference(avatar_split_clause,[],[f431,f575,f616]) ).

fof(f622,definition,
    ( spl55_11
  <=> ssItem(sK51) ),
    introduced(definition,[new_symbols(definition,[spl55_11])],[avatar_definition]) ).

fof(f624,plain,
    ( ssItem(sK51)
    | ~ spl55_11 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f625,plain,
    ( spl55_11
    | ~ spl55_7 ),
    inference(avatar_split_clause,[],[f421,f601,f622]) ).

fof(f626,plain,
    ( spl55_2
    | ~ spl55_5 ),
    inference(avatar_split_clause,[],[f422,f590,f575]) ).

fof(f632,definition,
    ( spl55_13
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).

fof(f633,plain,
    ( ssList(nil)
    | ~ spl55_13 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f661,plain,
    spl55_13,
    inference(avatar_split_clause,[],[f305,f632]) ).

fof(f731,plain,
    ( ~ ssList(nil)
    | nil = sK50
    | ~ ssList(sK50)
    | spl55_7 ),
    inference(resolution,[],[f302,f603]) ).

fof(f736,plain,
    ( nil = sK50
    | ~ ssList(sK50)
    | spl55_7
    | ~ spl55_13 ),
    inference(forward_subsumption_resolution,[],[f731,f633]) ).

fof(f760,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK53)) = X0 )
    | ~ spl55_9 ),
    inference(resolution,[],[f314,f613]) ).

fof(f761,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK54)) = X0 )
    | ~ spl55_4 ),
    inference(resolution,[],[f314,f587]) ).

fof(f798,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK53 = tl(cons(X0,sK53)) )
    | ~ spl55_9 ),
    inference(resolution,[],[f316,f613]) ).

fof(f799,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK54 = tl(cons(X0,sK54)) )
    | ~ spl55_4 ),
    inference(resolution,[],[f316,f587]) ).

fof(f1002,plain,
    ( nil != sK50
    | ~ ssList(sK54)
    | nil = cons(sK52,nil)
    | ~ ssList(cons(sK52,nil))
    | ~ spl55_3 ),
    inference(superposition,[],[f393,f582]) ).

fof(f1084,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK53) = app(cons(X0,nil),sK53) )
    | ~ spl55_9 ),
    inference(resolution,[],[f391,f613]) ).

fof(f1085,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK54) = app(cons(X0,nil),sK54) )
    | ~ spl55_4 ),
    inference(resolution,[],[f391,f587]) ).

fof(f1122,definition,
    ( spl55_36
  <=> ssList(cons(sK52,nil)) ),
    introduced(definition,[new_symbols(definition,[spl55_36])],[avatar_definition]) ).

fof(f1123,plain,
    ( ssList(cons(sK52,nil))
    | ~ spl55_36 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1124,plain,
    ( ~ ssList(cons(sK52,nil))
    | spl55_36 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1506,plain,
    ( ~ ssItem(sK52)
    | ~ ssList(nil)
    | spl55_36 ),
    inference(resolution,[],[f1124,f304]) ).

fof(f1507,plain,
    ( ~ ssList(nil)
    | ~ spl55_10
    | spl55_36 ),
    inference(forward_subsumption_resolution,[],[f1506,f618]) ).

fof(f1508,plain,
    ( $false
    | ~ spl55_10
    | ~ spl55_13
    | spl55_36 ),
    inference(forward_subsumption_resolution,[],[f1507,f633]) ).

fof(f1509,plain,
    ( ~ spl55_10
    | ~ spl55_13
    | spl55_36 ),
    inference(avatar_contradiction_clause,[],[f1508]) ).

fof(f1528,definition,
    ( spl55_56
  <=> nil = cons(sK52,nil) ),
    introduced(definition,[new_symbols(definition,[spl55_56])],[avatar_definition]) ).

fof(f1529,plain,
    ( nil != cons(sK52,nil)
    | spl55_56 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f1530,plain,
    ( nil = cons(sK52,nil)
    | ~ spl55_56 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f2061,plain,
    ( singletonP(nil)
    | ~ ssItem(sK52)
    | ~ ssList(nil)
    | ~ spl55_56 ),
    inference(superposition,[],[f441,f1530]) ).

fof(f2089,plain,
    ( ~ ssItem(sK52)
    | ~ ssList(nil)
    | ~ spl55_56 ),
    inference(forward_subsumption_resolution,[],[f2061,f336]) ).

fof(f2100,plain,
    ( ~ ssList(nil)
    | ~ spl55_10
    | ~ spl55_56 ),
    inference(forward_subsumption_resolution,[],[f2089,f618]) ).

fof(f2105,plain,
    ( $false
    | ~ spl55_10
    | ~ spl55_13
    | ~ spl55_56 ),
    inference(forward_subsumption_resolution,[],[f2100,f633]) ).

fof(f2106,plain,
    ( ~ spl55_10
    | ~ spl55_13
    | ~ spl55_56 ),
    inference(avatar_contradiction_clause,[],[f2105]) ).

fof(f3201,definition,
    ( spl55_192
  <=> sK51 = sK52 ),
    introduced(definition,[new_symbols(definition,[spl55_192])],[avatar_definition]) ).

fof(f3203,plain,
    ( sK51 = sK52
    | ~ spl55_192 ),
    inference(avatar_component_clause,[],[f3201]) ).

fof(f3476,definition,
    ( spl55_228
  <=> sK52 = hd(sK50) ),
    introduced(definition,[new_symbols(definition,[spl55_228])],[avatar_definition]) ).

fof(f3478,plain,
    ( sK52 = hd(sK50)
    | ~ spl55_228 ),
    inference(avatar_component_clause,[],[f3476]) ).

fof(f4034,plain,
    ( sK51 = hd(cons(sK51,sK53))
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(resolution,[],[f760,f624]) ).

fof(f4060,plain,
    ( sK53 = tl(cons(sK51,sK53))
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(resolution,[],[f798,f624]) ).

fof(f4167,plain,
    ( app(cons(sK51,nil),sK53) = cons(sK51,sK53)
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(resolution,[],[f1084,f624]) ).

fof(f4169,plain,
    ( sK50 = cons(sK51,sK53)
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(forward_demodulation,[],[f4167,f608]) ).

fof(f4335,definition,
    ( spl55_329
  <=> sK53 = tl(sK50) ),
    introduced(definition,[new_symbols(definition,[spl55_329])],[avatar_definition]) ).

fof(f4337,plain,
    ( sK53 = tl(sK50)
    | ~ spl55_329 ),
    inference(avatar_component_clause,[],[f4335]) ).

fof(f5693,definition,
    ( spl55_416
  <=> sK53 = sK54 ),
    introduced(definition,[new_symbols(definition,[spl55_416])],[avatar_definition]) ).

fof(f5695,plain,
    ( sK53 = sK54
    | ~ spl55_416 ),
    inference(avatar_component_clause,[],[f5693]) ).

fof(f36772,plain,
    ( sK52 = hd(cons(sK52,sK54))
    | ~ spl55_4
    | ~ spl55_10 ),
    inference(resolution,[],[f761,f618]) ).

fof(f36801,plain,
    ( sK54 = tl(cons(sK52,sK54))
    | ~ spl55_4
    | ~ spl55_10 ),
    inference(resolution,[],[f799,f618]) ).

fof(f36850,plain,
    ( app(cons(sK52,nil),sK54) = cons(sK52,sK54)
    | ~ spl55_4
    | ~ spl55_10 ),
    inference(resolution,[],[f1085,f618]) ).

fof(f36851,plain,
    ( sK50 = cons(sK52,sK54)
    | ~ spl55_3
    | ~ spl55_4
    | ~ spl55_10 ),
    inference(forward_demodulation,[],[f36850,f582]) ).

fof(f44903,plain,
    ( sK51 = hd(sK50)
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(forward_demodulation,[],[f4034,f4169]) ).

fof(f44986,plain,
    ( sK51 = sK52
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11
    | ~ spl55_228 ),
    inference(forward_demodulation,[],[f44903,f3478]) ).

fof(f44998,definition,
    ( spl55_4638
  <=> sK54 = tl(sK50) ),
    introduced(definition,[new_symbols(definition,[spl55_4638])],[avatar_definition]) ).

fof(f45000,plain,
    ( sK54 = tl(sK50)
    | ~ spl55_4638 ),
    inference(avatar_component_clause,[],[f44998]) ).

fof(f45181,plain,
    ( spl55_192
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11
    | ~ spl55_228 ),
    inference(avatar_split_clause,[],[f44986,f3476,f622,f611,f606,f3201]) ).

fof(f47073,plain,
    ( sK53 = tl(sK50)
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(forward_demodulation,[],[f4060,f4169]) ).

fof(f54810,plain,
    ( sK52 = hd(sK50)
    | ~ spl55_3
    | ~ spl55_4
    | ~ spl55_10 ),
    inference(forward_demodulation,[],[f36772,f36851]) ).

fof(f54811,plain,
    ( spl55_228
    | ~ spl55_3
    | ~ spl55_4
    | ~ spl55_10 ),
    inference(avatar_split_clause,[],[f54810,f616,f585,f580,f3476]) ).

fof(f55416,plain,
    ( spl55_329
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(avatar_split_clause,[],[f47073,f622,f611,f606,f4335]) ).

fof(f57889,plain,
    ( sK54 = tl(sK50)
    | ~ spl55_3
    | ~ spl55_4
    | ~ spl55_10 ),
    inference(forward_demodulation,[],[f36801,f36851]) ).

fof(f57890,plain,
    ( spl55_4638
    | ~ spl55_3
    | ~ spl55_4
    | ~ spl55_10 ),
    inference(avatar_split_clause,[],[f57889,f616,f585,f580,f44998]) ).

fof(f74460,plain,
    ( sK53 = sK54
    | ~ spl55_329
    | ~ spl55_4638 ),
    inference(superposition,[],[f4337,f45000]) ).

fof(f74494,plain,
    ( spl55_416
    | ~ spl55_329
    | ~ spl55_4638 ),
    inference(avatar_split_clause,[],[f74460,f44998,f4335,f5693]) ).

fof(f74496,plain,
    ( sK49 = app(sK54,cons(sK51,nil))
    | ~ spl55_6
    | ~ spl55_416 ),
    inference(superposition,[],[f599,f5695]) ).

fof(f74670,plain,
    ( sK49 = app(sK54,cons(sK52,nil))
    | ~ spl55_6
    | ~ spl55_192
    | ~ spl55_416 ),
    inference(forward_demodulation,[],[f74496,f3203]) ).

fof(f74671,plain,
    ( $false
    | spl55_1
    | ~ spl55_6
    | ~ spl55_192
    | ~ spl55_416 ),
    inference(forward_subsumption_resolution,[],[f74670,f573]) ).

fof(f74672,plain,
    ( spl55_1
    | ~ spl55_6
    | ~ spl55_192
    | ~ spl55_416 ),
    inference(avatar_contradiction_clause,[],[f74671]) ).

fof(f74674,plain,
    ( nil = sK50
    | spl55_7
    | ~ spl55_13 ),
    inference(forward_subsumption_resolution,[],[f736,f425]) ).

fof(f74922,plain,
    ( nil != sK50
    | nil = cons(sK52,nil)
    | ~ ssList(cons(sK52,nil))
    | ~ spl55_3
    | ~ spl55_4 ),
    inference(forward_subsumption_resolution,[],[f1002,f587]) ).

fof(f75171,plain,
    ( spl55_5
    | spl55_7
    | ~ spl55_13 ),
    inference(avatar_split_clause,[],[f74674,f632,f601,f590]) ).

fof(f75310,plain,
    ( nil != sK50
    | ~ ssList(cons(sK52,nil))
    | ~ spl55_3
    | ~ spl55_4
    | spl55_56 ),
    inference(forward_subsumption_resolution,[],[f74922,f1529]) ).

fof(f75570,plain,
    ( nil != sK50
    | ~ spl55_3
    | ~ spl55_4
    | ~ spl55_36
    | spl55_56 ),
    inference(forward_subsumption_resolution,[],[f75310,f1123]) ).

fof(f75673,plain,
    ( ~ spl55_5
    | ~ spl55_3
    | ~ spl55_4
    | ~ spl55_36
    | spl55_56 ),
    inference(avatar_split_clause,[],[f75570,f1528,f1122,f585,f580,f590]) ).

cnf(s2,plain,
    ( ~ spl55_2
    | spl55_3 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s3,plain,
    ( ~ spl55_2
    | spl55_4 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s4,plain,
    ( ~ spl55_1
    | spl55_5 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s5,plain,
    ( spl55_3
    | spl55_5 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s6,plain,
    ( spl55_4
    | spl55_5 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s7,plain,
    ( spl55_6
    | ~ spl55_7 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s8,plain,
    ( ~ spl55_7
    | spl55_8 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s9,plain,
    ( ~ spl55_7
    | spl55_9 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s10,plain,
    ( spl55_5
    | spl55_10 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s11,plain,
    ( ~ spl55_2
    | spl55_10 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s12,plain,
    ( ~ spl55_7
    | spl55_11 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s13,plain,
    ( spl55_2
    | ~ spl55_5 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s22,plain,
    spl55_13,
    inference(sat_conversion,[],[f661]) ).

cnf(s55,plain,
    ( ~ spl55_10
    | ~ spl55_13
    | spl55_36 ),
    inference(sat_conversion,[],[f1509]) ).

cnf(s89,plain,
    ( ~ spl55_10
    | ~ spl55_13
    | ~ spl55_56 ),
    inference(sat_conversion,[],[f2106]) ).

cnf(s4975,plain,
    ( ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11
    | spl55_192
    | ~ spl55_228 ),
    inference(sat_conversion,[],[f45181]) ).

cnf(s6502,plain,
    ( ~ spl55_3
    | ~ spl55_4
    | ~ spl55_10
    | spl55_228 ),
    inference(sat_conversion,[],[f54811]) ).

cnf(s6782,plain,
    ( ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11
    | spl55_329 ),
    inference(sat_conversion,[],[f55416]) ).

cnf(s7289,plain,
    ( ~ spl55_3
    | ~ spl55_4
    | ~ spl55_10
    | spl55_4638 ),
    inference(sat_conversion,[],[f57890]) ).

cnf(s9583,plain,
    ( ~ spl55_329
    | spl55_416
    | ~ spl55_4638 ),
    inference(sat_conversion,[],[f74494]) ).

cnf(s9600,plain,
    ( spl55_1
    | ~ spl55_6
    | ~ spl55_192
    | ~ spl55_416 ),
    inference(sat_conversion,[],[f74672]) ).

cnf(s9700,plain,
    ( spl55_5
    | spl55_7
    | ~ spl55_13 ),
    inference(sat_conversion,[],[f75171]) ).

cnf(s9844,plain,
    ( ~ spl55_3
    | ~ spl55_4
    | ~ spl55_5
    | ~ spl55_36
    | spl55_56 ),
    inference(sat_conversion,[],[f75673]) ).

cnf(s9956,plain,
    ( spl55_5
    | spl55_1 ),
    inference(rat,[],[s9600,s9583,s4975,s6782,s6502,s7289,s7,s8,s9,s12,s5,s6,s10,s9700,s22]) ).

cnf(s9957,plain,
    ~ spl55_5,
    inference(rat,[],[s9844,s55,s89,s2,s3,s11,s13,s22]) ).

cnf(s9975,plain,
    ~ spl55_1,
    inference(rat,[],[s4,s9957]) ).

cnf(s9976,plain,
    $false,
    inference(rat,[],[s9956,s9975,s9957]) ).

fof(f75745,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9976]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC315+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n014.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 09:00:46 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/1.51  % (1649038)Will run a generic schedule for satisfiability detection.
% 5.36/1.51  % (1649045)% WARNING: option uhcvi not known.
% 5.36/1.51  % (1649045)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2822205975:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.36/1.51  % (1649049)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=586329397:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.36/1.51  % (1649047)dis+10_1_sil=32000:sp=arity:random_seed=4149654948:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.36/1.51  % (1649044)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3093869220_2999 on theBenchmark for (2999ds/0Mi)
% 5.36/1.51  % (1649048)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1898402274:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.36/1.51  % (1649046)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1048710065:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.36/1.51  % (1649050)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4116573494:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.36/1.51  % TRYING [1]
% 5.36/1.51  % TRYING [2]
% 5.36/1.51  % TRYING [3]
% 5.36/1.51  % TRYING [4]
% 5.36/1.51  % (1649047)Instruction limit reached! 
% 5.36/1.51  % (1649047)------------------------------
% 5.36/1.51  % (1649047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649047)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649047)Termination reason: Instruction limit
% 5.36/1.51  % (1649047)Termination phase: Saturation
% 5.36/1.51  % (1649047)Time elapsed: 0.097 s
% 5.36/1.51  % (1649047)Peak memory usage: 13 MB
% 5.36/1.51  % (1649047)Instructions burned: 103 (million)
% 5.36/1.51  % (1649048)Instruction limit reached! 
% 5.36/1.51  % (1649048)------------------------------
% 5.36/1.51  % (1649048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649048)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649048)Termination reason: Instruction limit
% 5.36/1.51  % (1649048)Termination phase: Saturation
% 5.36/1.51  % (1649048)Time elapsed: 0.108 s
% 5.36/1.51  % (1649048)Peak memory usage: 13 MB
% 5.36/1.51  % (1649048)Instructions burned: 117 (million)
% 5.36/1.51  % (1649049)Instruction limit reached! 
% 5.36/1.51  % (1649049)------------------------------
% 5.36/1.51  % (1649049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649049)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649049)Termination reason: Instruction limit
% 5.36/1.51  % (1649049)Termination phase: Saturation
% 5.36/1.51  % (1649049)Time elapsed: 0.119 s
% 5.36/1.51  % (1649049)Peak memory usage: 14 MB
% 5.36/1.51  % (1649049)Instructions burned: 131 (million)
% 5.36/1.51  % (1649050)Instruction limit reached! 
% 5.36/1.51  % (1649050)------------------------------
% 5.36/1.51  % (1649050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649050)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649050)Termination reason: Instruction limit
% 5.36/1.51  % (1649050)Termination phase: Saturation
% 5.36/1.51  % (1649050)Time elapsed: 0.112 s
% 5.36/1.51  % (1649050)Peak memory usage: 15 MB
% 5.36/1.51  % (1649050)Instructions burned: 160 (million)
% 5.36/1.51  % (1649065)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2184971923:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.36/1.51  % (1649068)ott-21_1_sil=16000:fs=off:random_seed=2486448062:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.36/1.51  % (1649066)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3934863595:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.36/1.51  % (1649067)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3065344237:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.36/1.51  % TRYING [5]
% 5.36/1.51  % TRYING [1]
% 5.36/1.51  % TRYING [2]
% 5.36/1.51  % TRYING [3]
% 5.36/1.51  % TRYING [4]
% 5.36/1.51  % (1649068)Instruction limit reached! 
% 5.36/1.51  % (1649068)------------------------------
% 5.36/1.51  % (1649068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649068)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649068)Termination reason: Instruction limit
% 5.36/1.51  % (1649068)Termination phase: Saturation
% 5.36/1.51  % (1649068)Time elapsed: 0.107 s
% 5.36/1.51  % (1649068)Peak memory usage: 14 MB
% 5.36/1.51  % (1649068)Instructions burned: 181 (million)
% 5.36/1.51  % (1649066)Instruction limit reached! 
% 5.36/1.51  % (1649066)------------------------------
% 5.36/1.51  % (1649066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649066)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649066)Termination reason: Instruction limit
% 5.36/1.51  % (1649066)Termination phase: Saturation
% 5.36/1.51  % (1649066)Time elapsed: 0.122 s
% 5.36/1.51  % (1649066)Peak memory usage: 13 MB
% 5.36/1.51  % (1649066)Instructions burned: 131 (million)
% 5.36/1.51  % (1649079)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3213082985:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.36/1.51  % TRYING [5]
% 5.36/1.51  % (1649080)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=599743136:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.36/1.51  % TRYING [1]
% 5.36/1.51  % TRYING [2]
% 5.36/1.51  % TRYING [3]
% 5.36/1.51  % TRYING [6]
% 5.36/1.51  % TRYING [4]
% 5.36/1.51  % TRYING [5]
% 5.36/1.51  % (1649067)Instruction limit reached! 
% 5.36/1.51  % (1649067)------------------------------
% 5.36/1.51  % (1649067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649067)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649067)Termination reason: Instruction limit
% 5.36/1.51  % (1649067)Termination phase: Saturation
% 5.36/1.51  % (1649067)Time elapsed: 0.457 s
% 5.36/1.51  % (1649067)Peak memory usage: 25 MB
% 5.36/1.51  % (1649067)Instructions burned: 684 (million)
% 5.36/1.51  % TRYING [6]
% 5.36/1.51  % (1649087)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3244835994:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 5.36/1.51  % (1649065)Instruction limit reached! 
% 5.36/1.51  % (1649065)------------------------------
% 5.36/1.51  % (1649065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649065)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649065)Termination reason: Instruction limit
% 5.36/1.51  % (1649065)Termination phase: Finite model building constraint generation
% 5.36/1.51  % (1649065)Time elapsed: 0.516 s
% 5.36/1.51  % (1649065)Peak memory usage: 28 MB
% 5.36/1.51  % (1649065)Instructions burned: 714 (million)
% 5.36/1.51  % (1649079)Instruction limit reached! 
% 5.36/1.51  % (1649079)------------------------------
% 5.36/1.51  % (1649079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649079)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649079)Termination reason: Instruction limit
% 5.36/1.51  % (1649079)Termination phase: Saturation
% 5.36/1.51  % (1649079)Time elapsed: 0.390 s
% 5.36/1.51  % (1649079)Peak memory usage: 14 MB
% 5.36/1.51  % (1649079)Instructions burned: 478 (million)
% 5.36/1.51  % (1649089)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1651475989:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 5.36/1.51  % (1649090)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3799509110:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 5.36/1.51  % TRYING [7]
% 5.36/1.51  % (1649080)Instruction limit reached! 
% 5.36/1.51  % (1649080)------------------------------
% 5.36/1.51  % (1649080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649080)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649080)Termination reason: Instruction limit
% 5.36/1.51  % (1649080)Termination phase: Finite model building SAT solving
% 5.36/1.51  % (1649080)Time elapsed: 0.422 s
% 5.36/1.51  % (1649080)Peak memory usage: 22 MB
% 5.36/1.51  % (1649080)Instructions burned: 867 (million)
% 5.36/1.51  % (1649093)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2515685998:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 5.36/1.51  % TRYING [14]
% 5.36/1.51  % (1649089)Instruction limit reached! 
% 5.36/1.51  % (1649089)------------------------------
% 5.36/1.51  % (1649089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649089)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649089)Termination reason: Instruction limit
% 5.36/1.51  % (1649089)Termination phase: Finite model building constraint generation
% 5.36/1.51  % (1649089)Time elapsed: 0.326 s
% 5.36/1.51  % (1649089)Peak memory usage: 70 MB
% 5.36/1.51  % (1649089)Instructions burned: 891 (million)
% 5.36/1.51  % (1649090)Instruction limit reached! 
% 5.36/1.51  % (1649090)------------------------------
% 5.36/1.51  % (1649090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649090)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649090)Termination reason: Instruction limit
% 5.36/1.51  % (1649090)Termination phase: Saturation
% 5.36/1.51  % (1649090)Time elapsed: 0.334 s
% 5.36/1.51  % (1649090)Peak memory usage: 22 MB
% 5.36/1.51  % (1649090)Instructions burned: 694 (million)
% 5.36/1.51  % (1649142)fmb+10_1_sil=64000:random_seed=2715278520:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 5.36/1.51  % (1649148)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3393390083:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 5.36/1.51  % TRYING [1]
% 5.36/1.51  % TRYING [2]
% 5.36/1.51  % TRYING [20]
% 5.36/1.51  % TRYING [3]
% 5.36/1.51  % TRYING [4]
% 5.36/1.51  % (1649093)Instruction limit reached! 
% 5.36/1.51  % (1649093)------------------------------
% 5.36/1.51  % (1649093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649093)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649093)Termination reason: Instruction limit
% 5.36/1.51  % (1649093)Termination phase: Saturation
% 5.36/1.51  % (1649093)Time elapsed: 0.448 s
% 5.36/1.51  % (1649093)Peak memory usage: 21 MB
% 5.36/1.51  % (1649093)Instructions burned: 881 (million)
% 5.36/1.51  % (1649194)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1406183311:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 5.36/1.51  % (1649045) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1649038-1649045"...
% 5.36/1.51  % TRYING [8]
% 5.36/1.51  % (1649045)...printing done.
% 5.36/1.51  % (1649045)Refutation found. Thanks to Tanya!
% 5.36/1.51  % SZS status Theorem for theBenchmark
% 5.36/1.51  % SZS output start Proof for theBenchmark
% See solution above
% 5.36/1.51  % (1649045)------------------------------
% 5.36/1.51  % (1649045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.51  % (1649045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.51  % (1649045)CaDiCaL version: 2.1.3
% 5.36/1.51  % (1649045)Termination reason: Refutation
% 5.36/1.51  % (1649045)Time elapsed: 1.241 s
% 5.36/1.51  % (1649045)Peak memory usage: 50 MB
% 5.36/1.51  % (1649045)Instructions burned: 3822 (million)
% 5.36/1.51  % (1649038)Success in time 1.279 s
% 5.36/1.51  % Vampire exiting
%------------------------------------------------------------------------------