↑ Up

DT2H2X---1.9.5.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : DAT398^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Feb 25 08:45:39 AM UTC 2026

% Result   : Theorem 14.13s 3.14s
% Output   : Refutation 14.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :  375 ( 141 equ;   0 cnn)
%            Maximal formula atoms :   12 (   7 avg)
%            Number of connectives :  959 (  63   ~;  50   |;  41   &; 774   @)
%                                         (   5 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  20 usr;   6 con; 0-4 aty)
%            Number of variables   :  159 (   0   ^; 133   !;  26   ?; 159   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    elem: $tType ).

thf(type_def_7,type,
    nat: $tType ).

thf(type_def_8,type,
    list: $tType ).

thf(func_def_0,type,
    isPer: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > $o ) ).

thf(func_def_2,type,
    elem: $tType ).

thf(func_def_3,type,
    elemStar: elem > elem > $o ).

thf(func_def_4,type,
    nat: $tType ).

thf(func_def_5,type,
    natStar: nat > nat > $o ).

thf(func_def_6,type,
    zero: nat ).

thf(func_def_7,type,
    suc: nat > nat ).

thf(func_def_8,type,
    plus: nat > nat > nat ).

thf(func_def_9,type,
    list: $tType ).

thf(func_def_10,type,
    listStar: nat > list > list > $o ).

thf(func_def_11,type,
    nil: list ).

thf(func_def_12,type,
    cons: nat > elem > list > list ).

thf(func_def_13,type,
    app: nat > nat > list > list > list ).

thf(func_def_14,type,
    rev: nat > list > list ).

thf(func_def_17,type,
    sK0: nat ).

thf(func_def_18,type,
    sK1: list ).

thf(func_def_19,type,
    sK2: ( nat > $o ) > nat ).

thf(func_def_20,type,
    sK3: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_21,type,
    sK4: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_22,type,
    sK5: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_23,type,
    sK6: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_24,type,
    sK7: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_27,type,
    ph9: 
      !>[X0: $tType] : X0 ).

thf(f1047,plain,
    $false,
    inference(subsumption_resolution,[status(thm)],[f1044,f72]) ).

thf(f72,plain,
    ( ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ ( app @ zero @ sK0 @ nil @ sK1 ) )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

thf(f59,plain,
    ( ( ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ ( app @ zero @ sK0 @ ( rev @ zero @ nil ) @ sK1 ) )
      = $true )
    & ( ( listStar @ sK0 @ sK1 @ sK1 )
      = $true )
    & ( ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ ( app @ zero @ sK0 @ nil @ sK1 ) )
     != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f50,f58]) ).

thf(f58,plain,
    ( ? [X0: nat,X1: list] :
        ( ( $true
          = ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) )
        & ( $true
          = ( listStar @ X0 @ X1 @ X1 ) )
        & ( $true
         != ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) ) )
   => ( ( ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ ( app @ zero @ sK0 @ ( rev @ zero @ nil ) @ sK1 ) )
        = $true )
      & ( ( listStar @ sK0 @ sK1 @ sK1 )
        = $true )
      & ( ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ ( app @ zero @ sK0 @ nil @ sK1 ) )
       != $true ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f50,plain,
    ? [X0: nat,X1: list] :
      ( ( $true
        = ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) )
      & ( $true
        = ( listStar @ X0 @ X1 @ X1 ) )
      & ( $true
       != ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) ) ),
    inference(flattening,[status(thm)],[f49]) ).

thf(f49,plain,
    ? [X0: nat,X1: list] :
      ( ( $true
       != ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) )
      & ( $true
        = ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) )
      & ( $true
        = ( listStar @ X0 @ X1 @ X1 ) ) ),
    inference(ennf_transformation,[status(thm)],[f21]) ).

thf(f21,plain,
    ~ ! [X0: nat,X1: list] :
        ( ( $true
          = ( listStar @ X0 @ X1 @ X1 ) )
       => ( ( $true
            = ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) )
         => ( $true
            = ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f20]) ).

thf(f20,plain,
    ~ ! [X0: nat,X1: list] :
        ( ( listStar @ X0 @ X1 @ X1 )
       => ( ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) )
         => ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) ) ),
    inference(rectify,[status(thm)],[f18]) ).

thf(f18,negated_conjecture,
    ~ ! [X6: nat,X13: list] :
        ( ( listStar @ X6 @ X13 @ X13 )
       => ( ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ ( app @ zero @ X6 @ ( rev @ zero @ nil ) @ X13 ) )
         => ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ ( app @ zero @ X6 @ nil @ X13 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

thf(f17,conjecture,
    ! [X6: nat,X13: list] :
      ( ( listStar @ X6 @ X13 @ X13 )
     => ( ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ ( app @ zero @ X6 @ ( rev @ zero @ nil ) @ X13 ) )
       => ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ ( app @ zero @ X6 @ nil @ X13 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',list_rev_invol_step3) ).

thf(f1044,plain,
    ( ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ ( app @ zero @ sK0 @ nil @ sK1 ) )
    = $true ),
    inference(trivial_inequality_removal,[status(thm)],[f1041]) ).

thf(f1041,plain,
    ( ( $true != $true )
    | ( ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ ( app @ zero @ sK0 @ nil @ sK1 ) )
      = $true ) ),
    inference(superposition,[status(thm)],[f1028,f490]) ).

thf(f490,plain,
    ( $true
    = ( listStar @ sK0 @ ( app @ zero @ sK0 @ ( rev @ zero @ nil ) @ sK1 ) @ ( app @ zero @ sK0 @ nil @ sK1 ) ) ),
    inference(forward_demodulation,[status(thm)],[f474,f85]) ).

thf(f85,plain,
    ! [X0: nat] :
      ( ( plus @ zero @ X0 )
      = X0 ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

thf(f45,plain,
    ! [X0: nat] :
      ( ( plus @ zero @ X0 )
      = X0 ),
    inference(rectify,[status(thm)],[f12]) ).

thf(f12,axiom,
    ! [X6: nat] :
      ( ( plus @ zero @ X6 )
      = X6 ),
    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',ax1) ).

thf(f474,plain,
    ( $true
    = ( listStar @ ( plus @ zero @ sK0 ) @ ( app @ zero @ sK0 @ ( rev @ zero @ nil ) @ sK1 ) @ ( app @ zero @ sK0 @ nil @ sK1 ) ) ),
    inference(trivial_inequality_removal,[status(thm)],[f468]) ).

thf(f468,plain,
    ( ( $true
      = ( listStar @ ( plus @ zero @ sK0 ) @ ( app @ zero @ sK0 @ ( rev @ zero @ nil ) @ sK1 ) @ ( app @ zero @ sK0 @ nil @ sK1 ) ) )
    | ( $true != $true ) ),
    inference(superposition,[status(thm)],[f439,f79]) ).

thf(f79,plain,
    ( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

thf(f27,plain,
    ( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
    = $true ),
    inference(fool_elimination,[status(thm)],[f26]) ).

thf(f26,plain,
    listStar @ zero @ ( rev @ zero @ nil ) @ nil,
    inference(rectify,[status(thm)],[f14]) ).

thf(f14,axiom,
    listStar @ zero @ ( rev @ zero @ nil ) @ nil,
    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',ax5) ).

thf(f439,plain,
    ! [X2: list,X0: nat,X1: list] :
      ( ( $true
       != ( listStar @ X0 @ X1 @ X2 ) )
      | ( $true
        = ( listStar @ ( plus @ X0 @ sK0 ) @ ( app @ X0 @ sK0 @ X1 @ sK1 ) @ ( app @ X0 @ sK0 @ X2 @ sK1 ) ) ) ),
    inference(trivial_inequality_removal,[status(thm)],[f425]) ).

thf(f425,plain,
    ! [X2: list,X0: nat,X1: list] :
      ( ( $true
       != ( listStar @ X0 @ X1 @ X2 ) )
      | ( $true
        = ( listStar @ ( plus @ X0 @ sK0 ) @ ( app @ X0 @ sK0 @ X1 @ sK1 ) @ ( app @ X0 @ sK0 @ X2 @ sK1 ) ) )
      | ( $true != $true ) ),
    inference(superposition,[status(thm)],[f71,f73]) ).

thf(f73,plain,
    ( ( listStar @ sK0 @ sK1 @ sK1 )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

thf(f71,plain,
    ! [X2: list,X3: list,X0: nat,X1: nat,X4: list,X5: list] :
      ( ( ( listStar @ X1 @ X4 @ X5 )
       != $true )
      | ( ( listStar @ X0 @ X2 @ X3 )
       != $true )
      | ( $true
        = ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f54]) ).

thf(f54,plain,
    ! [X0: nat,X1: nat,X2: list,X3: list] :
      ( ! [X4: list,X5: list] :
          ( ( ( listStar @ X1 @ X4 @ X5 )
           != $true )
          | ( $true
            = ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) ) ) )
      | ( ( listStar @ X0 @ X2 @ X3 )
       != $true ) ),
    inference(ennf_transformation,[status(thm)],[f31]) ).

thf(f31,plain,
    ! [X0: nat,X1: nat,X2: list,X3: list] :
      ( ( ( listStar @ X0 @ X2 @ X3 )
        = $true )
     => ! [X4: list,X5: list] :
          ( ( ( listStar @ X1 @ X4 @ X5 )
            = $true )
         => ( $true
            = ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f30]) ).

thf(f30,plain,
    ! [X0: nat,X1: nat,X2: list,X3: list] :
      ( ( listStar @ X0 @ X2 @ X3 )
     => ! [X4: list,X5: list] :
          ( ( listStar @ X1 @ X4 @ X5 )
         => ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) ) ) ),
    inference(rectify,[status(thm)],[f7]) ).

thf(f7,axiom,
    ! [X6: nat,X10: nat,X7: list,X11: list] :
      ( ( listStar @ X6 @ X7 @ X11 )
     => ! [X8: list,X9: list] :
          ( ( listStar @ X10 @ X8 @ X9 )
         => ( listStar @ ( plus @ X6 @ X10 ) @ ( app @ X6 @ X10 @ X7 @ X8 ) @ ( app @ X6 @ X10 @ X11 @ X9 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',app_tp_ax) ).

thf(f1028,plain,
    ! [X0: list] :
      ( ( $true
       != ( listStar @ sK0 @ ( app @ zero @ sK0 @ ( rev @ zero @ nil ) @ sK1 ) @ X0 ) )
      | ( $true
        = ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ X0 ) ) ),
    inference(trivial_inequality_removal,[status(thm)],[f988]) ).

thf(f988,plain,
    ! [X0: list] :
      ( ( $true != $true )
      | ( $true
       != ( listStar @ sK0 @ ( app @ zero @ sK0 @ ( rev @ zero @ nil ) @ sK1 ) @ X0 ) )
      | ( $true
        = ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ X0 ) ) ),
    inference(superposition,[status(thm)],[f207,f74]) ).

thf(f74,plain,
    ( ( listStar @ sK0 @ ( rev @ sK0 @ ( rev @ sK0 @ sK1 ) ) @ ( app @ zero @ sK0 @ ( rev @ zero @ nil ) @ sK1 ) )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

thf(f207,plain,
    ! [X2: list,X3: list,X0: nat,X1: list] :
      ( ( $true
       != ( listStar @ X0 @ X1 @ X2 ) )
      | ( ( listStar @ X0 @ X2 @ X3 )
       != $true )
      | ( ( listStar @ X0 @ X1 @ X3 )
        = $true ) ),
    inference(trivial_inequality_removal,[status(thm)],[f206]) ).

thf(f206,plain,
    ! [X2: list,X3: list,X0: nat,X1: list] :
      ( ( $true != $true )
      | ( ( listStar @ X0 @ X2 @ X3 )
       != $true )
      | ( $true
       != ( listStar @ X0 @ X1 @ X2 ) )
      | ( ( listStar @ X0 @ X1 @ X3 )
        = $true ) ),
    inference(superposition,[status(thm)],[f94,f84]) ).

thf(f84,plain,
    ! [X0: nat] :
      ( $true
      = ( isPer @ list @ ( listStar @ X0 ) ) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

thf(f23,plain,
    ! [X0: nat] :
      ( $true
      = ( isPer @ list @ ( listStar @ X0 ) ) ),
    inference(fool_elimination,[status(thm)],[f22]) ).

thf(f22,plain,
    ! [X0: nat] : ( isPer @ list @ ( listStar @ X0 ) ),
    inference(rectify,[status(thm)],[f4]) ).

thf(f4,axiom,
    ! [X5: nat] : ( isPer @ list @ ( listStar @ X5 ) ),
    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p','\'listStar\'_is_per') ).

thf(f94,plain,
    ! [X0: $tType,X1: X0 > X0 > $o,X6: X0,X4: X0,X5: X0] :
      ( ( ( isPer @ X0 @ X1 )
       != $true )
      | ( $true
       != ( X1 @ X4 @ X5 ) )
      | ( ( X1 @ X5 @ X6 )
       != $true )
      | ( ( X1 @ X4 @ X6 )
        = $true ) ),
    inference(cnf_transformation,[status(thm)],[f68]) ).

thf(f68,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( ( ! [X2: X0,X3: X0] :
              ( ( ( X1 @ X3 @ X2 )
                = $true )
              | ( ( X1 @ X2 @ X3 )
               != $true ) )
          & ! [X4: X0,X5: X0,X6: X0] :
              ( ( ( X1 @ X4 @ X6 )
                = $true )
              | ( $true
               != ( X1 @ X4 @ X5 ) )
              | ( ( X1 @ X5 @ X6 )
               != $true ) ) )
        | ( ( isPer @ X0 @ X1 )
         != $true ) )
      & ( ( ( isPer @ X0 @ X1 )
          = $true )
        | ( ( $true
           != ( X1 @ ( sK4 @ X0 @ X1 ) @ ( sK3 @ X0 @ X1 ) ) )
          & ( $true
            = ( X1 @ ( sK3 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) ) ) )
        | ( ( $true
           != ( X1 @ ( sK5 @ X0 @ X1 ) @ ( sK7 @ X0 @ X1 ) ) )
          & ( $true
            = ( X1 @ ( sK5 @ X0 @ X1 ) @ ( sK6 @ X0 @ X1 ) ) )
          & ( $true
            = ( X1 @ ( sK6 @ X0 @ X1 ) @ ( sK7 @ X0 @ X1 ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7])],[f65,f67,f66]) ).

thf(f66,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ? [X7: X0,X8: X0] :
          ( ( $true
           != ( X1 @ X8 @ X7 ) )
          & ( ( X1 @ X7 @ X8 )
            = $true ) )
     => ( ( $true
         != ( X1 @ ( sK4 @ X0 @ X1 ) @ ( sK3 @ X0 @ X1 ) ) )
        & ( $true
          = ( X1 @ ( sK3 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f67,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ? [X9: X0,X10: X0,X11: X0] :
          ( ( ( X1 @ X9 @ X11 )
           != $true )
          & ( $true
            = ( X1 @ X9 @ X10 ) )
          & ( $true
            = ( X1 @ X10 @ X11 ) ) )
     => ( ( $true
         != ( X1 @ ( sK5 @ X0 @ X1 ) @ ( sK7 @ X0 @ X1 ) ) )
        & ( $true
          = ( X1 @ ( sK5 @ X0 @ X1 ) @ ( sK6 @ X0 @ X1 ) ) )
        & ( $true
          = ( X1 @ ( sK6 @ X0 @ X1 ) @ ( sK7 @ X0 @ X1 ) ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f65,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( ( ! [X2: X0,X3: X0] :
              ( ( ( X1 @ X3 @ X2 )
                = $true )
              | ( ( X1 @ X2 @ X3 )
               != $true ) )
          & ! [X4: X0,X5: X0,X6: X0] :
              ( ( ( X1 @ X4 @ X6 )
                = $true )
              | ( $true
               != ( X1 @ X4 @ X5 ) )
              | ( ( X1 @ X5 @ X6 )
               != $true ) ) )
        | ( ( isPer @ X0 @ X1 )
         != $true ) )
      & ( ( ( isPer @ X0 @ X1 )
          = $true )
        | ? [X7: X0,X8: X0] :
            ( ( $true
             != ( X1 @ X8 @ X7 ) )
            & ( ( X1 @ X7 @ X8 )
              = $true ) )
        | ? [X9: X0,X10: X0,X11: X0] :
            ( ( ( X1 @ X9 @ X11 )
             != $true )
            & ( $true
              = ( X1 @ X9 @ X10 ) )
            & ( $true
              = ( X1 @ X10 @ X11 ) ) ) ) ),
    inference(rectify,[status(thm)],[f64]) ).

thf(f64,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( ( ! [X5: X0,X6: X0] :
              ( ( $true
                = ( X1 @ X6 @ X5 ) )
              | ( ( X1 @ X5 @ X6 )
               != $true ) )
          & ! [X2: X0,X3: X0,X4: X0] :
              ( ( ( X1 @ X2 @ X4 )
                = $true )
              | ( ( X1 @ X2 @ X3 )
               != $true )
              | ( ( X1 @ X3 @ X4 )
               != $true ) ) )
        | ( ( isPer @ X0 @ X1 )
         != $true ) )
      & ( ( ( isPer @ X0 @ X1 )
          = $true )
        | ? [X5: X0,X6: X0] :
            ( ( $true
             != ( X1 @ X6 @ X5 ) )
            & ( ( X1 @ X5 @ X6 )
              = $true ) )
        | ? [X2: X0,X3: X0,X4: X0] :
            ( ( ( X1 @ X2 @ X4 )
             != $true )
            & ( ( X1 @ X2 @ X3 )
              = $true )
            & ( ( X1 @ X3 @ X4 )
              = $true ) ) ) ),
    inference(flattening,[status(thm)],[f63]) ).

thf(f63,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( ( ! [X5: X0,X6: X0] :
              ( ( $true
                = ( X1 @ X6 @ X5 ) )
              | ( ( X1 @ X5 @ X6 )
               != $true ) )
          & ! [X2: X0,X3: X0,X4: X0] :
              ( ( ( X1 @ X2 @ X4 )
                = $true )
              | ( ( X1 @ X2 @ X3 )
               != $true )
              | ( ( X1 @ X3 @ X4 )
               != $true ) ) )
        | ( ( isPer @ X0 @ X1 )
         != $true ) )
      & ( ( ( isPer @ X0 @ X1 )
          = $true )
        | ? [X5: X0,X6: X0] :
            ( ( $true
             != ( X1 @ X6 @ X5 ) )
            & ( ( X1 @ X5 @ X6 )
              = $true ) )
        | ? [X2: X0,X3: X0,X4: X0] :
            ( ( ( X1 @ X2 @ X4 )
             != $true )
            & ( ( X1 @ X2 @ X3 )
              = $true )
            & ( ( X1 @ X3 @ X4 )
              = $true ) ) ) ),
    inference(nnf_transformation,[status(thm)],[f56]) ).

thf(f56,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( ! [X5: X0,X6: X0] :
            ( ( $true
              = ( X1 @ X6 @ X5 ) )
            | ( ( X1 @ X5 @ X6 )
             != $true ) )
        & ! [X2: X0,X3: X0,X4: X0] :
            ( ( ( X1 @ X2 @ X4 )
              = $true )
            | ( ( X1 @ X2 @ X3 )
             != $true )
            | ( ( X1 @ X3 @ X4 )
             != $true ) ) )
    <=> ( ( isPer @ X0 @ X1 )
        = $true ) ),
    inference(flattening,[status(thm)],[f55]) ).

thf(f55,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( ! [X2: X0,X3: X0,X4: X0] :
            ( ( ( X1 @ X2 @ X4 )
              = $true )
            | ( ( X1 @ X3 @ X4 )
             != $true )
            | ( ( X1 @ X2 @ X3 )
             != $true ) )
        & ! [X5: X0,X6: X0] :
            ( ( $true
              = ( X1 @ X6 @ X5 ) )
            | ( ( X1 @ X5 @ X6 )
             != $true ) ) )
    <=> ( ( isPer @ X0 @ X1 )
        = $true ) ),
    inference(ennf_transformation,[status(thm)],[f33]) ).

thf(f33,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( ! [X2: X0,X3: X0,X4: X0] :
            ( ( ( X1 @ X2 @ X3 )
              = $true )
           => ( ( ( X1 @ X3 @ X4 )
                = $true )
             => ( ( X1 @ X2 @ X4 )
                = $true ) ) )
        & ! [X5: X0,X6: X0] :
            ( ( ( X1 @ X5 @ X6 )
              = $true )
           => ( $true
              = ( X1 @ X6 @ X5 ) ) ) )
    <=> ( ( isPer @ X0 @ X1 )
        = $true ) ),
    inference(fool_elimination,[status(thm)],[f32]) ).

thf(f32,plain,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( isPer @ X0 @ X1 )
    <=> ( ! [X2: X0,X3: X0,X4: X0] :
            ( ( X1 @ X2 @ X3 )
           => ( ( X1 @ X3 @ X4 )
             => ( X1 @ X2 @ X4 ) ) )
        & ! [X5: X0,X6: X0] :
            ( ( X1 @ X5 @ X6 )
           => ( X1 @ X6 @ X5 ) ) ) ),
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    ! [X0: $tType,X1: X0 > X0 > $o] :
      ( ( isPer @ X0 @ X1 )
    <=> ( ! [X2: X0,X3: X0,X4: X0] :
            ( ( X1 @ X2 @ X3 )
           => ( ( X1 @ X3 @ X4 )
             => ( X1 @ X2 @ X4 ) ) )
        & ! [X2: X0,X3: X0] :
            ( ( X1 @ X2 @ X3 )
           => ( X1 @ X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',is_per) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT398^1 : TPTP v9.2.1. Released v9.2.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34  % Computer : n007.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Feb 24 06:16:53 EST 2026
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.21/0.46  ---- Original DTF file ---
% 0.21/0.46  thf(spec,logic,$$dhol).
% 0.21/0.46  %------------------------------------------------------------------------------
% 0.21/0.46  % File     : DAT398^1 : TPTP v9.2.1. Released v9.2.0.
% 0.21/0.46  % Domain   : Data Structures
% 0.21/0.46  % Problem  : List reversal involution, step 3
% 0.21/0.46  % Version  : Especial.
% 0.21/0.46  % English  : List reversal involution. The proof is split into smaller steps.
% 0.21/0.46  %            To simplify proof search, the axioms in each problem file have
% 0.21/0.46  %            been preselected.
% 0.21/0.46  
% 0.21/0.46  % Refs     : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.21/0.46  %          : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.21/0.46  %          : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.21/0.46  % Source   : [Rot25]
% 0.21/0.46  % Names    : ListReversalInvolution/list-rev-invol-step3.p [Rot25]
% 0.21/0.46  
% 0.21/0.46  % Status   : Theorem
% 0.21/0.46  % Rating   : ? v9.2.0
% 0.21/0.46  % Syntax   : Number of formulae    :   19 (   6 unt;  10 typ;   0 def)
% 0.21/0.46  %            Number of atoms       :   10 (  10 equ;   0 cnn)
% 0.21/0.46  %            Maximal formula atoms :    2 (   1 avg)
% 0.21/0.46  %            Number of connectives :   64 (   3   ~;   0   |;   0   &;  56   @)
% 0.21/0.46  %                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
% 0.21/0.46  %            Maximal formula depth :    8 (   3 avg)
% 0.21/0.46  %            Number of types       :    3 (   2 usr)
% 0.21/0.46  %            Number of type decls  :   10 (   0 !>P;   3 !>D)
% 0.21/0.46  %            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
% 0.21/0.46  %            Number of symbols     :    9 (   8 usr;   2 con; 0-4 aty)
% 0.21/0.46  %            Number of variables   :   18 (   0   ^;  14   !;   0   ?;  18   :)
% 0.21/0.46  %                                         (   4  !>;   0  ?*;   0  @-;   0  @+)
% 0.21/0.46  % SPC      : DH0_THM_EQU_NAR
% 0.21/0.46  
% 0.21/0.46  % Comments :
% 0.21/0.46  %------------------------------------------------------------------------------
% 0.21/0.46  thf(elem_type,type,
% 0.21/0.46      elem: $tType ).
% 0.21/0.46  
% 0.21/0.46  thf(nat_type,type,
% 0.21/0.46      nat: $tType ).
% 0.21/0.46  
% 0.21/0.46  thf(zero_type,type,
% 0.21/0.46      zero: nat ).
% 0.21/0.46  
% 0.21/0.46  thf(suc_type,type,
% 0.21/0.46      suc: nat > nat ).
% 0.21/0.46  
% 0.21/0.46  thf(plus_type,type,
% 0.21/0.46      plus: nat > nat > nat ).
% 0.21/0.46  
% 0.21/0.46  thf(list_type,type,
% 0.21/0.46      list: nat > $tType ).
% 0.21/0.46  
% 0.21/0.46  thf(nil_type,type,
% 0.21/0.46      nil: list @ zero ).
% 0.21/0.46  
% 0.21/0.46  thf(cons_type,type,
% 0.21/0.46      cons: 
% 0.21/0.46        !>[N: nat] : ( elem > ( list @ N ) > ( list @ ( suc @ N ) ) ) ).
% 0.21/0.46  
% 0.21/0.46  thf(app_type,type,
% 0.21/0.46      app: 
% 0.21/0.46        !>[N: nat,M: nat] : ( ( list @ N ) > ( list @ M ) > ( list @ ( plus @ N @ M ) ) ) ).
% 0.21/0.46  
% 0.21/0.46  thf(rev_type,type,
% 0.21/0.46      rev: 
% 0.21/0.46        !>[N: nat] : ( ( list @ N ) > ( list @ N ) ) ).
% 0.21/0.46  
% 0.21/0.46  thf(peano1,axiom,
% 0.21/0.46      ! [N: nat] :
% 0.21/0.46        ( ( suc @ N )
% 0.21/0.46       != zero ) ).
% 0.21/0.46  
% 0.21/0.46  thf(peano2,axiom,
% 0.21/0.46      ! [N: nat,M: nat] :
% 0.21/0.46        ( ( N != M )
% 0.21/0.46       => ( ( suc @ N )
% 0.21/0.46         != ( suc @ M ) ) ) ).
% 0.21/0.46  
% 0.21/0.46  thf(peano3,axiom,
% 0.21/0.46      ! [P: nat > $o] :
% 0.21/0.46        ( ( P @ zero )
% 0.21/0.46       => ( ! [M: nat] :
% 0.21/0.46              ( ( P @ M )
% 0.21/0.46             => ( P @ ( suc @ M ) ) )
% 0.21/0.46         => ! [N: nat] : ( P @ N ) ) ) ).
% 0.21/0.46  
% 0.21/0.46  thf(ax1,axiom,
% 0.21/0.46      ! [N: nat] :
% 0.21/0.46        ( ( plus @ zero @ N )
% 0.21/0.46        = N ) ).
% 0.21/0.46  
% 0.21/0.46  thf(ax2,axiom,
% 0.21/0.46      ! [N: nat,M: nat] :
% 0.21/0.46        ( ( plus @ ( suc @ N ) @ M )
% 0.21/0.46        = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.21/0.46  
% 0.21/0.46  thf(ax5,axiom,
% 0.21/0.46      ( ( rev @ zero @ nil )
% 0.21/0.46      = nil ) ).
% 0.21/0.46  
% 0.21/0.46  thf(plus_com,axiom,
% 0.21/0.46      ! [N: nat,M: nat] :
% 0.21/0.46        ( ( plus @ N @ M )
% 0.21/0.46        = ( plus @ M @ N ) ) ).
% 0.21/0.46  
% 0.21/0.46  thf(plus1r,axiom,
% 0.21/0.46      ! [N: nat] :
% 0.21/0.46        ( ( suc @ N )
% 0.21/0.46        = ( plus @ N @ ( suc @ zero ) ) ) ).
% 0.21/0.46  
% 0.21/0.46  thf(list_rev_invol_step3,conjecture,
% 0.21/0.46      ! [N: nat,L: list @ N] :
% 0.21/0.46        ( ( ( rev @ N @ ( rev @ N @ L ) )
% 0.21/0.46          = ( app @ zero @ N @ ( rev @ zero @ nil ) @ L ) )
% 0.21/0.46       => ( ( rev @ N @ ( rev @ N @ L ) )
% 0.21/0.46          = ( app @ zero @ N @ nil @ L ) ) ) ).
% 0.21/0.46  
% 0.21/0.46  %------------------------------------------------------------------------------
% 0.21/0.46  ------------------------
% 1.72/1.30  ---- Embedded in THF ---
% 1.72/1.31  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.72/1.31  %%% Generated on Tue Feb 24 06:16:54 EST 2026
% 1.72/1.31  %%% using '$$dhol' embedding, version 1.3.0.
% 1.72/1.31  %%% Logic specification used:
% 1.72/1.31  %%% thf(spec, logic, $$dhol).
% 1.72/1.31  
% 1.72/1.31  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2DTF11629.p
% See solution above
% 1.72/1.31  ------------------------
% 1.72/1.32  ---- Cleaned THF ---
% 1.72/1.32  thf(is_per_type,type,
% 1.72/1.32      isPer: 
% 1.72/1.32        !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.72/1.32  
% 1.72/1.32  thf(is_per,definition,
% 1.72/1.32      ! [A: $tType,AStar: A > A > $o] :
% 1.72/1.32        ( ( isPer @ A @ AStar )
% 1.72/1.32      <=> ( ! [X: A,Y: A] :
% 1.72/1.32              ( ( AStar @ X @ Y )
% 1.72/1.32             => ( AStar @ Y @ X ) )
% 1.72/1.32          & ! [X: A,Y: A,Z: A] :
% 1.72/1.32              ( ( AStar @ X @ Y )
% 1.72/1.32             => ( ( AStar @ Y @ Z )
% 1.72/1.32               => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(elem_type,type,
% 1.72/1.32      elem: $tType ).
% 1.72/1.32  
% 1.72/1.32  thf(elemStar,type,
% 1.72/1.32      elemStar: elem > elem > $o ).
% 1.72/1.32  
% 1.72/1.32  thf(elemStar_is_eq,axiom,
% 1.72/1.32      ! [X: elem,Y: elem] :
% 1.72/1.32        ( ( elemStar @ X @ Y )
% 1.72/1.32      <=> ( X = Y ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(nat_type,type,
% 1.72/1.32      nat: $tType ).
% 1.72/1.32  
% 1.72/1.32  thf(natStar,type,
% 1.72/1.32      natStar: nat > nat > $o ).
% 1.72/1.32  
% 1.72/1.32  thf(natStar_is_eq,axiom,
% 1.72/1.32      ! [X: nat,Y: nat] :
% 1.72/1.32        ( ( natStar @ X @ Y )
% 1.72/1.32      <=> ( X = Y ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(zero_type,type,
% 1.72/1.32      zero: nat ).
% 1.72/1.32  
% 1.72/1.32  thf(suc_type,type,
% 1.72/1.32      suc: nat > nat ).
% 1.72/1.32  
% 1.72/1.32  thf(plus_type,type,
% 1.72/1.32      plus: nat > nat > nat ).
% 1.72/1.32  
% 1.72/1.32  thf(list_type,type,
% 1.72/1.32      list: $tType ).
% 1.72/1.32  
% 1.72/1.32  thf(listStar,type,
% 1.72/1.32      listStar: nat > list > list > $o ).
% 1.72/1.32  
% 1.72/1.32  thf('\'listStar\'_is_per',axiom,
% 1.72/1.32      ! [C: nat] : ( isPer @ list @ ( listStar @ C ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(nil_type,type,
% 1.72/1.32      nil: list ).
% 1.72/1.32  
% 1.72/1.32  thf(nil_tp_ax,axiom,
% 1.72/1.32      listStar @ zero @ nil @ nil ).
% 1.72/1.32  
% 1.72/1.32  thf(cons_type,type,
% 1.72/1.32      cons: nat > elem > list > list ).
% 1.72/1.32  
% 1.72/1.32  thf(cons_tp_ax,axiom,
% 1.72/1.32      ! [N: nat,D: elem,D0: list,D0_prime: list] :
% 1.72/1.32        ( ( listStar @ N @ D0 @ D0_prime )
% 1.72/1.32       => ( listStar @ ( suc @ N ) @ ( cons @ N @ D @ D0 ) @ ( cons @ N @ D @ D0_prime ) ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(app_type,type,
% 1.72/1.32      app: nat > nat > list > list > list ).
% 1.72/1.32  
% 1.72/1.32  thf(app_tp_ax,axiom,
% 1.72/1.32      ! [N: nat,M: nat,D: list,D_prime: list] :
% 1.72/1.32        ( ( listStar @ N @ D @ D_prime )
% 1.72/1.32       => ! [D0: list,D0_prime: list] :
% 1.72/1.32            ( ( listStar @ M @ D0 @ D0_prime )
% 1.72/1.32           => ( listStar @ ( plus @ N @ M ) @ ( app @ N @ M @ D @ D0 ) @ ( app @ N @ M @ D_prime @ D0_prime ) ) ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(rev_type,type,
% 1.72/1.32      rev: nat > list > list ).
% 1.72/1.32  
% 1.72/1.32  thf(rev_tp_ax,axiom,
% 1.72/1.32      ! [N: nat,D: list,D_prime: list] :
% 1.72/1.32        ( ( listStar @ N @ D @ D_prime )
% 1.72/1.32       => ( listStar @ N @ ( rev @ N @ D ) @ ( rev @ N @ D_prime ) ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(peano1,axiom,
% 1.72/1.32      ! [N: nat] :
% 1.72/1.32        ( ( suc @ N )
% 1.72/1.32       != zero ) ).
% 1.72/1.32  
% 1.72/1.32  thf(peano2,axiom,
% 1.72/1.32      ! [N: nat,M: nat] :
% 1.72/1.32        ( ( N != M )
% 1.72/1.32       => ( ( suc @ N )
% 1.72/1.32         != ( suc @ M ) ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(peano3,axiom,
% 1.72/1.32      ! [P: nat > $o] :
% 1.72/1.32        ( ( P @ zero )
% 1.72/1.32       => ( ! [M: nat] :
% 1.72/1.32              ( ( P @ M )
% 1.72/1.32             => ( P @ ( suc @ M ) ) )
% 1.72/1.32         => ! [N: nat] : ( P @ N ) ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(ax1,axiom,
% 1.72/1.32      ! [N: nat] :
% 1.72/1.32        ( ( plus @ zero @ N )
% 1.72/1.32        = N ) ).
% 1.72/1.32  
% 1.72/1.32  thf(ax2,axiom,
% 1.72/1.32      ! [N: nat,M: nat] :
% 1.72/1.32        ( ( plus @ ( suc @ N ) @ M )
% 1.72/1.32        = ( suc @ ( plus @ N @ M ) ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(ax5,axiom,
% 1.72/1.32      listStar @ zero @ ( rev @ zero @ nil ) @ nil ).
% 1.72/1.32  
% 1.72/1.32  thf(plus_com,axiom,
% 1.72/1.32      ! [N: nat,M: nat] :
% 1.72/1.32        ( ( plus @ N @ M )
% 1.72/1.32        = ( plus @ M @ N ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(plus1r,axiom,
% 1.72/1.32      ! [N: nat] :
% 1.72/1.32        ( ( suc @ N )
% 1.72/1.32        = ( plus @ N @ ( suc @ zero ) ) ) ).
% 1.72/1.32  
% 1.72/1.32  thf(list_rev_invol_step3,conjecture,
% 1.72/1.32      ! [N: nat,L: list] :
% 1.72/1.32        ( ( listStar @ N @ L @ L )
% 1.72/1.32       => ( ( listStar @ N @ ( rev @ N @ ( rev @ N @ L ) ) @ ( app @ zero @ N @ ( rev @ zero @ nil ) @ L ) )
% 1.72/1.32         => ( listStar @ N @ ( rev @ N @ ( rev @ N @ L ) ) @ ( app @ zero @ N @ nil @ L ) ) ) ) ).
% 1.72/1.32  ------------------------
% 1.72/1.34  % (11957)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/27Mi)
% 1.72/1.34  % (11955)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/183Mi)
% 1.72/1.34  % (11956)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/4Mi)
% 1.72/1.34  % (11958)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/2Mi)
% 1.72/1.34  % (11959)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/2Mi)
% 1.72/1.34  % (11960)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/275Mi)
% 1.72/1.34  % (11961)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/18Mi)
% 1.72/1.34  % (11958)Instruction limit reached!
% 1.72/1.34  % (11958)------------------------------
% 1.72/1.34  % (11958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.34  % (11958)Termination reason: Unknown
% 1.72/1.34  % (11958)Termination phase: shuffling
% 1.72/1.34  
% 1.72/1.34  % (11958)Memory used [KB]: 1023
% 1.72/1.34  % (11958)Time elapsed: 0.003 s
% 1.72/1.34  % (11958)Instructions burned: 2 (million)
% 1.72/1.34  % (11958)------------------------------
% 1.72/1.34  % (11958)------------------------------
% 1.72/1.34  % (11959)Instruction limit reached!
% 1.72/1.34  % (11959)------------------------------
% 1.72/1.34  % (11959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.34  % (11959)Termination reason: Unknown
% 1.72/1.34  % (11959)Termination phase: shuffling
% 1.72/1.34  
% 1.72/1.34  % (11959)Memory used [KB]: 1023
% 1.72/1.34  % (11959)Time elapsed: 0.003 s
% 1.72/1.34  % (11959)Instructions burned: 2 (million)
% 1.72/1.34  % (11959)------------------------------
% 1.72/1.34  % (11959)------------------------------
% 1.72/1.34  % (11956)Instruction limit reached!
% 1.72/1.34  % (11956)------------------------------
% 1.72/1.34  % (11956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.34  % (11956)Termination reason: Unknown
% 1.72/1.34  % (11956)Termination phase: Property scanning
% 1.72/1.34  
% 1.72/1.34  % (11956)Memory used [KB]: 1023
% 1.72/1.34  % (11956)Time elapsed: 0.004 s
% 1.72/1.34  % (11956)Instructions burned: 4 (million)
% 1.72/1.34  % (11956)------------------------------
% 1.72/1.34  % (11956)------------------------------
% 1.72/1.34  % (11957)Instruction limit reached!
% 1.72/1.34  % (11957)------------------------------
% 1.72/1.34  % (11957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.34  % (11957)Termination reason: Unknown
% 1.72/1.34  % (11957)Termination phase: Saturation
% 1.72/1.34  
% 1.72/1.34  % (11957)Memory used [KB]: 5628
% 1.72/1.34  % (11957)Time elapsed: 0.011 s
% 1.72/1.34  % (11957)Instructions burned: 27 (million)
% 1.72/1.34  % (11957)------------------------------
% 1.72/1.34  % (11957)------------------------------
% 1.72/1.35  % (11960)Refutation not found, incomplete strategy
% 1.72/1.35  % (11960)------------------------------
% 1.72/1.35  % (11960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.35  % (11960)Termination reason: Refutation not found, incomplete strategy
% 1.72/1.35  
% 1.72/1.35  
% 1.72/1.35  % (11960)Memory used [KB]: 5500
% 1.72/1.35  % (11960)Time elapsed: 0.006 s
% 1.72/1.35  % (11960)Instructions burned: 6 (million)
% 1.72/1.35  % (11960)------------------------------
% 1.72/1.35  % (11960)------------------------------
% 1.72/1.35  % (11965)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/3Mi)
% 1.72/1.36  % (11961)Instruction limit reached!
% 1.72/1.36  % (11961)------------------------------
% 1.72/1.36  % (11961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.36  % (11961)Termination reason: Unknown
% 1.72/1.36  % (11961)Termination phase: Saturation
% 1.72/1.36  
% 1.72/1.36  % (11961)Memory used [KB]: 5628
% 1.72/1.36  % (11961)Time elapsed: 0.014 s
% 1.72/1.36  % (11961)Instructions burned: 19 (million)
% 1.72/1.36  % (11961)------------------------------
% 1.72/1.36  % (11961)------------------------------
% 1.72/1.36  % (11965)Instruction limit reached!
% 1.72/1.36  % (11965)------------------------------
% 1.72/1.36  % (11965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.36  % (11965)Termination reason: Unknown
% 1.72/1.36  % (11965)Termination phase: Preprocessing 3
% 1.72/1.36  
% 1.72/1.36  % (11965)Memory used [KB]: 1023
% 1.72/1.36  % (11965)Time elapsed: 0.002 s
% 1.72/1.36  % (11965)Instructions burned: 3 (million)
% 1.72/1.36  % (11965)------------------------------
% 1.72/1.36  % (11965)------------------------------
% 1.72/1.36  % (11962)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/3Mi)
% 1.72/1.36  % (11963)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/37Mi)
% 1.72/1.36  % (11964)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/15Mi)
% 1.72/1.36  % (11962)Instruction limit reached!
% 1.72/1.36  % (11962)------------------------------
% 1.72/1.36  % (11962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.36  % (11962)Termination reason: Unknown
% 1.72/1.36  % (11962)Termination phase: Preprocessing 3
% 1.72/1.36  
% 1.72/1.36  % (11962)Memory used [KB]: 1023
% 1.72/1.36  % (11962)Time elapsed: 0.004 s
% 1.72/1.36  % (11962)Instructions burned: 4 (million)
% 1.72/1.36  % (11962)------------------------------
% 1.72/1.36  % (11962)------------------------------
% 1.72/1.36  % (11967)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/7Mi)
% 1.72/1.37  % (11966)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/1041Mi)
% 1.72/1.37  % (11967)Instruction limit reached!
% 1.72/1.37  % (11967)------------------------------
% 1.72/1.37  % (11967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.37  % (11967)Termination reason: Unknown
% 1.72/1.37  % (11967)Termination phase: Saturation
% 1.72/1.37  
% 1.72/1.37  % (11967)Memory used [KB]: 1151
% 1.72/1.37  % (11967)Time elapsed: 0.004 s
% 1.72/1.37  % (11967)Instructions burned: 9 (million)
% 1.72/1.37  % (11967)------------------------------
% 1.72/1.37  % (11967)------------------------------
% 1.72/1.37  % (11964)Instruction limit reached!
% 1.72/1.37  % (11964)------------------------------
% 1.72/1.37  % (11964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.37  % (11964)Termination reason: Unknown
% 1.72/1.37  % (11964)Termination phase: Saturation
% 1.72/1.37  
% 1.72/1.37  % (11964)Memory used [KB]: 5756
% 1.72/1.37  % (11964)Time elapsed: 0.012 s
% 1.72/1.37  % (11964)Instructions burned: 16 (million)
% 1.72/1.37  % (11964)------------------------------
% 1.72/1.37  % (11964)------------------------------
% 1.72/1.37  % (11968)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/16Mi)
% 1.72/1.38  % (11970)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/3Mi)
% 1.72/1.38  % (11970)Instruction limit reached!
% 1.72/1.38  % (11970)------------------------------
% 1.72/1.38  % (11970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.38  % (11970)Termination reason: Unknown
% 1.72/1.38  % (11970)Termination phase: Property scanning
% 1.72/1.38  
% 1.72/1.38  % (11970)Memory used [KB]: 1023
% 1.72/1.38  % (11970)Time elapsed: 0.002 s
% 1.72/1.38  % (11970)Instructions burned: 3 (million)
% 1.72/1.38  % (11970)------------------------------
% 1.72/1.38  % (11970)------------------------------
% 1.72/1.38  % (11963)Instruction limit reached!
% 1.72/1.38  % (11963)------------------------------
% 1.72/1.38  % (11963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.38  % (11963)Termination reason: Unknown
% 1.72/1.38  % (11963)Termination phase: Saturation
% 1.72/1.38  
% 1.72/1.38  % (11963)Memory used [KB]: 5884
% 1.72/1.38  % (11963)Time elapsed: 0.019 s
% 1.72/1.38  % (11963)Instructions burned: 39 (million)
% 1.72/1.38  % (11963)------------------------------
% 1.72/1.38  % (11963)------------------------------
% 1.72/1.38  % (11969)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/3Mi)
% 1.72/1.38  % (11968)Instruction limit reached!
% 1.72/1.38  % (11968)------------------------------
% 1.72/1.38  % (11968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.38  % (11968)Termination reason: Unknown
% 1.72/1.38  % (11968)Termination phase: Saturation
% 1.72/1.38  
% 1.72/1.38  % (11968)Memory used [KB]: 5756
% 1.72/1.38  % (11968)Time elapsed: 0.012 s
% 1.72/1.38  % (11968)Instructions burned: 16 (million)
% 1.72/1.38  % (11968)------------------------------
% 1.72/1.38  % (11968)------------------------------
% 1.72/1.38  % (11969)Instruction limit reached!
% 1.72/1.38  % (11969)------------------------------
% 1.72/1.38  % (11969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.38  % (11969)Termination reason: Unknown
% 1.72/1.38  % (11969)Termination phase: Preprocessing 3
% 1.72/1.38  
% 1.72/1.38  % (11969)Memory used [KB]: 1023
% 1.72/1.38  % (11969)Time elapsed: 0.004 s
% 1.72/1.38  % (11969)Instructions burned: 4 (million)
% 1.72/1.38  % (11969)------------------------------
% 1.72/1.38  % (11969)------------------------------
% 1.72/1.39  % (11972)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/3Mi)
% 1.72/1.39  % (11972)Instruction limit reached!
% 1.72/1.39  % (11972)------------------------------
% 1.72/1.39  % (11972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.39  % (11972)Termination reason: Unknown
% 1.72/1.39  % (11972)Termination phase: Property scanning
% 1.72/1.39  
% 1.72/1.39  % (11972)Memory used [KB]: 1023
% 1.72/1.39  % (11972)Time elapsed: 0.002 s
% 1.72/1.39  % (11972)Instructions burned: 4 (million)
% 1.72/1.39  % (11972)------------------------------
% 1.72/1.39  % (11972)------------------------------
% 1.72/1.39  % (11973)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/4Mi)
% 1.72/1.39  % (11971)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/7Mi)
% 1.72/1.39  % (11973)Instruction limit reached!
% 1.72/1.39  % (11973)------------------------------
% 1.72/1.39  % (11973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.39  % (11973)Termination reason: Unknown
% 1.72/1.39  % (11973)Termination phase: Property scanning
% 1.72/1.39  
% 1.72/1.39  % (11973)Memory used [KB]: 1023
% 1.72/1.39  % (11973)Time elapsed: 0.003 s
% 1.72/1.39  % (11973)Instructions burned: 4 (million)
% 1.72/1.39  % (11973)------------------------------
% 1.72/1.39  % (11973)------------------------------
% 1.72/1.39  % (11971)Instruction limit reached!
% 1.72/1.39  % (11971)------------------------------
% 1.72/1.39  % (11971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.72/1.39  % (11971)Termination reason: Unknown
% 1.72/1.39  % (11971)Termination phase: Saturation
% 1.72/1.39  
% 1.72/1.39  % (11971)Memory used [KB]: 5500
% 1.72/1.39  % (11971)Time elapsed: 0.006 s
% 1.72/1.39  % (11971)Instructions burned: 7 (million)
% 1.72/1.39  % (11971)------------------------------
% 1.72/1.39  % (11971)------------------------------
% 1.76/1.40  % (11976)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/6Mi)
% 1.76/1.40  % (11955)Instruction limit reached!
% 1.76/1.40  % (11955)------------------------------
% 1.76/1.40  % (11955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.40  % (11955)Termination reason: Unknown
% 1.76/1.40  % (11955)Termination phase: Saturation
% 1.76/1.40  
% 1.76/1.40  % (11955)Memory used [KB]: 6396
% 1.76/1.40  % (11955)Time elapsed: 0.064 s
% 1.76/1.40  % (11955)Instructions burned: 185 (million)
% 1.76/1.40  % (11955)------------------------------
% 1.76/1.40  % (11955)------------------------------
% 1.76/1.40  % (11976)Instruction limit reached!
% 1.76/1.40  % (11976)------------------------------
% 1.76/1.40  % (11976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.40  % (11976)Termination reason: Unknown
% 1.76/1.40  % (11976)Termination phase: Saturation
% 1.76/1.40  
% 1.76/1.40  % (11976)Memory used [KB]: 5500
% 1.76/1.40  % (11976)Time elapsed: 0.003 s
% 1.76/1.40  % (11976)Instructions burned: 6 (million)
% 1.76/1.40  % (11976)------------------------------
% 1.76/1.40  % (11976)------------------------------
% 1.76/1.40  % (11977)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/902Mi)
% 1.76/1.40  % (11974)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/18Mi)
% 1.76/1.40  % (11975)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/710Mi)
% 1.76/1.41  % (11979)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/5Mi)
% 1.76/1.41  % (11980)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/6Mi)
% 1.76/1.41  % (11979)Instruction limit reached!
% 1.76/1.41  % (11979)------------------------------
% 1.76/1.41  % (11979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.41  % (11979)Termination reason: Unknown
% 1.76/1.41  % (11979)Termination phase: Property scanning
% 1.76/1.41  
% 1.76/1.41  % (11979)Memory used [KB]: 1023
% 1.76/1.41  % (11979)Time elapsed: 0.003 s
% 1.76/1.41  % (11979)Instructions burned: 5 (million)
% 1.76/1.41  % (11979)------------------------------
% 1.76/1.41  % (11979)------------------------------
% 1.76/1.41  % (11980)Instruction limit reached!
% 1.76/1.41  % (11980)------------------------------
% 1.76/1.41  % (11980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.41  % (11980)Termination reason: Unknown
% 1.76/1.41  % (11980)Termination phase: Saturation
% 1.76/1.41  
% 1.76/1.41  % (11980)Memory used [KB]: 5500
% 1.76/1.41  % (11980)Time elapsed: 0.003 s
% 1.76/1.41  % (11980)Instructions burned: 6 (million)
% 1.76/1.41  % (11980)------------------------------
% 1.76/1.41  % (11980)------------------------------
% 1.76/1.41  % (11978)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/21Mi)
% 1.76/1.41  % (11974)Instruction limit reached!
% 1.76/1.41  % (11974)------------------------------
% 1.76/1.41  % (11974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.41  % (11974)Termination reason: Unknown
% 1.76/1.41  % (11974)Termination phase: Saturation
% 1.76/1.41  
% 1.76/1.41  % (11974)Memory used [KB]: 5628
% 1.76/1.41  % (11974)Time elapsed: 0.013 s
% 1.76/1.41  % (11974)Instructions burned: 18 (million)
% 1.76/1.41  % (11974)------------------------------
% 1.76/1.41  % (11974)------------------------------
% 1.76/1.42  % (11981)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/377Mi)
% 1.76/1.42  % (11978)Instruction limit reached!
% 1.76/1.42  % (11978)------------------------------
% 1.76/1.42  % (11978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.42  % (11978)Termination reason: Unknown
% 1.76/1.42  % (11978)Termination phase: Saturation
% 1.76/1.42  
% 1.76/1.42  % (11978)Memory used [KB]: 5628
% 1.76/1.42  % (11978)Time elapsed: 0.015 s
% 1.76/1.42  % (11978)Instructions burned: 21 (million)
% 1.76/1.42  % (11978)------------------------------
% 1.76/1.42  % (11978)------------------------------
% 1.76/1.43  % (11982)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/779Mi)
% 1.76/1.43  % (11983)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/19Mi)
% 1.76/1.44  % (11983)Instruction limit reached!
% 1.76/1.44  % (11983)------------------------------
% 1.76/1.44  % (11983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.44  % (11983)Termination reason: Unknown
% 1.76/1.44  % (11983)Termination phase: Saturation
% 1.76/1.44  
% 1.76/1.44  % (11983)Memory used [KB]: 5628
% 1.76/1.44  % (11983)Time elapsed: 0.014 s
% 1.76/1.44  % (11983)Instructions burned: 20 (million)
% 1.76/1.44  % (11983)------------------------------
% 1.76/1.44  % (11983)------------------------------
% 1.76/1.44  % (11984)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_11629 for (2999ds/879Mi)
% 1.76/1.46  % (11985)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_11629 for (2998ds/17Mi)
% 1.76/1.47  % (11985)Instruction limit reached!
% 1.76/1.47  % (11985)------------------------------
% 1.76/1.47  % (11985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.47  % (11985)Termination reason: Unknown
% 1.76/1.47  % (11985)Termination phase: Saturation
% 1.76/1.47  
% 1.76/1.47  % (11985)Memory used [KB]: 5756
% 1.76/1.47  % (11985)Time elapsed: 0.012 s
% 1.76/1.47  % (11985)Instructions burned: 19 (million)
% 1.76/1.47  % (11985)------------------------------
% 1.76/1.47  % (11985)------------------------------
% 1.76/1.48  % (11986)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_11629 for (2998ds/3Mi)
% 1.76/1.48  % (11986)Instruction limit reached!
% 1.76/1.48  % (11986)------------------------------
% 1.76/1.48  % (11986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.48  % (11986)Termination reason: Unknown
% 1.76/1.48  % (11986)Termination phase: Preprocessing 3
% 1.76/1.48  
% 1.76/1.48  % (11986)Memory used [KB]: 1023
% 1.76/1.48  % (11986)Time elapsed: 0.003 s
% 1.76/1.48  % (11986)Instructions burned: 4 (million)
% 1.76/1.48  % (11986)------------------------------
% 1.76/1.48  % (11986)------------------------------
% 1.76/1.49  % (11987)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_11629 for (2998ds/30Mi)
% 1.76/1.50  % (11987)Instruction limit reached!
% 1.76/1.50  % (11987)------------------------------
% 1.76/1.50  % (11987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.50  % (11987)Termination reason: Unknown
% 1.76/1.50  % (11987)Termination phase: Saturation
% 1.76/1.50  
% 1.76/1.50  % (11987)Memory used [KB]: 5756
% 1.76/1.50  % (11987)Time elapsed: 0.013 s
% 1.76/1.50  % (11987)Instructions burned: 32 (million)
% 1.76/1.50  % (11987)------------------------------
% 1.76/1.50  % (11987)------------------------------
% 1.76/1.51  % (11988)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_11629 for (2998ds/127Mi)
% 1.76/1.55  % (11981)Instruction limit reached!
% 1.76/1.55  % (11981)------------------------------
% 1.76/1.55  % (11981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.55  % (11981)Termination reason: Unknown
% 1.76/1.55  % (11981)Termination phase: Saturation
% 1.76/1.55  
% 1.76/1.55  % (11981)Memory used [KB]: 6140
% 1.76/1.55  % (11981)Time elapsed: 0.131 s
% 1.76/1.55  % (11981)Instructions burned: 378 (million)
% 1.76/1.55  % (11981)------------------------------
% 1.76/1.55  % (11981)------------------------------
% 1.76/1.55  % (11988)Instruction limit reached!
% 1.76/1.55  % (11988)------------------------------
% 1.76/1.55  % (11988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.55  % (11988)Termination reason: Unknown
% 1.76/1.55  % (11988)Termination phase: Saturation
% 1.76/1.55  
% 1.76/1.55  % (11988)Memory used [KB]: 6012
% 1.76/1.55  % (11988)Time elapsed: 0.044 s
% 1.76/1.55  % (11988)Instructions burned: 127 (million)
% 1.76/1.55  % (11988)------------------------------
% 1.76/1.55  % (11988)------------------------------
% 1.76/1.56  % (11989)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_11629 for (2997ds/100Mi)
% 1.76/1.56  % (11990)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_11629 for (2997ds/3Mi)
% 1.76/1.56  % (11990)Instruction limit reached!
% 1.76/1.56  % (11990)------------------------------
% 1.76/1.56  % (11990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.56  % (11990)Termination reason: Unknown
% 1.76/1.56  % (11990)Termination phase: Property scanning
% 1.76/1.56  
% 1.76/1.56  % (11990)Memory used [KB]: 1023
% 1.76/1.56  % (11990)Time elapsed: 0.003 s
% 1.76/1.56  % (11990)Instructions burned: 5 (million)
% 1.76/1.56  % (11990)------------------------------
% 1.76/1.56  % (11990)------------------------------
% 1.76/1.57  % (11991)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_11629 for (2997ds/20Mi)
% 1.76/1.58  % (11991)Instruction limit reached!
% 1.76/1.58  % (11991)------------------------------
% 1.76/1.58  % (11991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.58  % (11991)Termination reason: Unknown
% 1.76/1.58  % (11991)Termination phase: Saturation
% 1.76/1.58  
% 1.76/1.58  % (11991)Memory used [KB]: 5628
% 1.76/1.58  % (11991)Time elapsed: 0.009 s
% 1.76/1.58  % (11991)Instructions burned: 20 (million)
% 1.76/1.58  % (11991)------------------------------
% 1.76/1.58  % (11991)------------------------------
% 1.76/1.59  % (11992)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_11629 for (2997ds/86Mi)
% 1.76/1.59  % (11989)Instruction limit reached!
% 1.76/1.59  % (11989)------------------------------
% 1.76/1.59  % (11989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.59  % (11989)Termination reason: Unknown
% 1.76/1.59  % (11989)Termination phase: Saturation
% 1.76/1.59  
% 1.76/1.59  % (11989)Memory used [KB]: 6012
% 1.76/1.59  % (11989)Time elapsed: 0.034 s
% 1.76/1.59  % (11989)Instructions burned: 102 (million)
% 1.76/1.59  % (11989)------------------------------
% 1.76/1.59  % (11989)------------------------------
% 1.76/1.60  % (11993)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_11629 for (2997ds/107Mi)
% 1.76/1.62  % (11992)Instruction limit reached!
% 1.76/1.62  % (11992)------------------------------
% 1.76/1.62  % (11992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.62  % (11992)Termination reason: Unknown
% 1.76/1.62  % (11992)Termination phase: Saturation
% 1.76/1.62  
% 1.76/1.62  % (11992)Memory used [KB]: 6140
% 1.76/1.62  % (11992)Time elapsed: 0.031 s
% 1.76/1.62  % (11992)Instructions burned: 88 (million)
% 1.76/1.62  % (11992)------------------------------
% 1.76/1.62  % (11992)------------------------------
% 1.76/1.63  % (11994)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_11629 for (2997ds/39Mi)
% 1.76/1.64  % (11993)Instruction limit reached!
% 1.76/1.64  % (11993)------------------------------
% 1.76/1.64  % (11993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.64  % (11993)Termination reason: Unknown
% 1.76/1.64  % (11993)Termination phase: Saturation
% 1.76/1.64  
% 1.76/1.64  % (11993)Memory used [KB]: 5884
% 1.76/1.64  % (11993)Time elapsed: 0.035 s
% 1.76/1.64  % (11993)Instructions burned: 108 (million)
% 1.76/1.64  % (11993)------------------------------
% 1.76/1.64  % (11993)------------------------------
% 1.76/1.64  % (11995)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_11629 for (2996ds/448Mi)
% 1.76/1.64  % (11994)Instruction limit reached!
% 1.76/1.64  % (11994)------------------------------
% 1.76/1.64  % (11994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.64  % (11994)Termination reason: Unknown
% 1.76/1.64  % (11994)Termination phase: Saturation
% 1.76/1.64  
% 1.76/1.64  % (11994)Memory used [KB]: 5756
% 1.76/1.64  % (11994)Time elapsed: 0.016 s
% 1.76/1.64  % (11994)Instructions burned: 41 (million)
% 1.76/1.64  % (11994)------------------------------
% 1.76/1.64  % (11994)------------------------------
% 1.76/1.65  % (11996)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_11629 for (2996ds/46Mi)
% 1.76/1.66  % (11975)Instruction limit reached!
% 1.76/1.66  % (11975)------------------------------
% 1.76/1.66  % (11975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.66  % (11975)Termination reason: Unknown
% 1.76/1.66  % (11975)Termination phase: Saturation
% 1.76/1.66  
% 1.76/1.66  % (11975)Memory used [KB]: 6908
% 1.76/1.66  % (11975)Time elapsed: 0.261 s
% 1.76/1.66  % (11975)Instructions burned: 712 (million)
% 1.76/1.66  % (11975)------------------------------
% 1.76/1.66  % (11975)------------------------------
% 1.76/1.67  % (11997)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_11629 for (2996ds/98Mi)
% 1.76/1.67  % (11996)Instruction limit reached!
% 1.76/1.67  % (11996)------------------------------
% 1.76/1.67  % (11996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.67  % (11996)Termination reason: Unknown
% 1.76/1.67  % (11996)Termination phase: Saturation
% 1.76/1.67  
% 1.76/1.67  % (11996)Memory used [KB]: 5756
% 1.76/1.67  % (11996)Time elapsed: 0.019 s
% 1.76/1.67  % (11996)Instructions burned: 47 (million)
% 1.76/1.67  % (11996)------------------------------
% 1.76/1.67  % (11996)------------------------------
% 1.76/1.68  % (11998)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_11629 for (2996ds/507Mi)
% 1.76/1.69  % (11977)Instruction limit reached!
% 1.76/1.69  % (11977)------------------------------
% 1.76/1.69  % (11977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.69  % (11977)Termination reason: Unknown
% 1.76/1.69  % (11977)Termination phase: Saturation
% 1.76/1.69  
% 1.76/1.69  % (11977)Memory used [KB]: 6652
% 1.76/1.69  % (11977)Time elapsed: 0.295 s
% 1.76/1.69  % (11977)Instructions burned: 902 (million)
% 1.76/1.69  % (11977)------------------------------
% 1.76/1.69  % (11977)------------------------------
% 1.76/1.70  % (11997)Instruction limit reached!
% 1.76/1.70  % (11997)------------------------------
% 1.76/1.70  % (11997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.70  % (11997)Termination reason: Unknown
% 1.76/1.70  % (11997)Termination phase: Saturation
% 1.76/1.70  
% 1.76/1.70  % (11997)Memory used [KB]: 1279
% 1.76/1.70  % (11997)Time elapsed: 0.034 s
% 1.76/1.70  % (11997)Instructions burned: 99 (million)
% 1.76/1.70  % (11997)------------------------------
% 1.76/1.70  % (11997)------------------------------
% 1.76/1.70  % (11999)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_11629 for (2996ds/149Mi)
% 1.76/1.71  % (11982)Instruction limit reached!
% 1.76/1.71  % (11982)------------------------------
% 1.76/1.71  % (11982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.71  % (11982)Termination reason: Unknown
% 1.76/1.71  % (11982)Termination phase: Saturation
% 1.76/1.71  
% 1.76/1.71  % (11982)Memory used [KB]: 6908
% 1.76/1.71  % (11982)Time elapsed: 0.284 s
% 1.76/1.71  % (11982)Instructions burned: 779 (million)
% 1.76/1.71  % (11982)------------------------------
% 1.76/1.71  % (11982)------------------------------
% 1.76/1.71  % (12000)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_11629 for (2996ds/39Mi)
% 1.76/1.72  % (12001)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_11629 for (2996ds/6Mi)
% 1.76/1.72  % (12001)Instruction limit reached!
% 1.76/1.72  % (12001)------------------------------
% 1.76/1.72  % (12001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.72  % (12001)Termination reason: Unknown
% 1.76/1.72  % (12001)Termination phase: Saturation
% 1.76/1.72  
% 1.76/1.72  % (12001)Memory used [KB]: 9978
% 1.76/1.72  % (12001)Time elapsed: 0.004 s
% 1.76/1.72  % (12001)Instructions burned: 6 (million)
% 1.76/1.72  % (12001)------------------------------
% 1.76/1.72  % (12001)------------------------------
% 1.76/1.73  % (12000)Instruction limit reached!
% 1.76/1.73  % (12000)------------------------------
% 1.76/1.73  % (12000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.73  % (12000)Termination reason: Unknown
% 1.76/1.73  % (12000)Termination phase: Saturation
% 1.76/1.73  
% 1.76/1.73  % (12000)Memory used [KB]: 5756
% 1.76/1.73  % (12000)Time elapsed: 0.016 s
% 1.76/1.73  % (12000)Instructions burned: 40 (million)
% 1.76/1.73  % (12000)------------------------------
% 1.76/1.73  % (12000)------------------------------
% 1.76/1.73  % (12002)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_11629 for (2996ds/1087Mi)
% 1.76/1.74  % (12003)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/47Mi)
% 1.76/1.75  % (11966)Instruction limit reached!
% 1.76/1.75  % (11966)------------------------------
% 1.76/1.75  % (11966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.75  % (11966)Termination reason: Unknown
% 1.76/1.75  % (11966)Termination phase: Saturation
% 1.76/1.75  
% 1.76/1.75  % (11966)Memory used [KB]: 7419
% 1.76/1.75  % (11966)Time elapsed: 0.384 s
% 1.76/1.75  % (11966)Instructions burned: 1042 (million)
% 1.76/1.75  % (11966)------------------------------
% 1.76/1.75  % (11966)------------------------------
% 1.76/1.75  % (11984)Instruction limit reached!
% 1.76/1.75  % (11984)------------------------------
% 1.76/1.75  % (11984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.75  % (11984)Termination reason: Unknown
% 1.76/1.75  % (11984)Termination phase: Saturation
% 1.76/1.75  
% 1.76/1.75  % (11984)Memory used [KB]: 7675
% 1.76/1.75  % (11984)Time elapsed: 0.330 s
% 1.76/1.75  % (11984)Instructions burned: 879 (million)
% 1.76/1.75  % (11984)------------------------------
% 1.76/1.75  % (11984)------------------------------
% 1.76/1.75  % (11999)Instruction limit reached!
% 1.76/1.75  % (11999)------------------------------
% 1.76/1.75  % (11999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.75  % (11999)Termination reason: Unknown
% 1.76/1.75  % (11999)Termination phase: Saturation
% 1.76/1.75  
% 1.76/1.75  % (11999)Memory used [KB]: 6268
% 1.76/1.75  % (11999)Time elapsed: 0.050 s
% 1.76/1.75  % (11999)Instructions burned: 150 (million)
% 1.76/1.75  % (11999)------------------------------
% 1.76/1.75  % (11999)------------------------------
% 1.76/1.75  % (12003)Instruction limit reached!
% 1.76/1.75  % (12003)------------------------------
% 1.76/1.75  % (12003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.75  % (12003)Termination reason: Unknown
% 1.76/1.75  % (12003)Termination phase: Saturation
% 1.76/1.75  
% 1.76/1.75  % (12003)Memory used [KB]: 5756
% 1.76/1.75  % (12003)Time elapsed: 0.018 s
% 1.76/1.75  % (12003)Instructions burned: 48 (million)
% 1.76/1.75  % (12003)------------------------------
% 1.76/1.75  % (12003)------------------------------
% 1.76/1.76  % (12004)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/44Mi)
% 1.76/1.76  % (12005)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/432Mi)
% 1.76/1.76  % (12006)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/62Mi)
% 1.76/1.76  % (12007)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/31Mi)
% 1.76/1.77  % (12004)Instruction limit reached!
% 1.76/1.77  % (12004)------------------------------
% 1.76/1.77  % (12004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.77  % (12004)Termination reason: Unknown
% 1.76/1.77  % (12004)Termination phase: Saturation
% 1.76/1.77  
% 1.76/1.77  % (12004)Memory used [KB]: 1279
% 1.76/1.77  % (12004)Time elapsed: 0.017 s
% 1.76/1.77  % (12004)Instructions burned: 45 (million)
% 1.76/1.77  % (12004)------------------------------
% 1.76/1.77  % (12004)------------------------------
% 1.76/1.77  % (12007)Instruction limit reached!
% 1.76/1.77  % (12007)------------------------------
% 1.76/1.77  % (12007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.77  % (12007)Termination reason: Unknown
% 1.76/1.77  % (12007)Termination phase: Saturation
% 1.76/1.77  
% 1.76/1.77  % (12007)Memory used [KB]: 5756
% 1.76/1.77  % (12007)Time elapsed: 0.012 s
% 1.76/1.77  % (12007)Instructions burned: 31 (million)
% 1.76/1.77  % (12007)------------------------------
% 1.76/1.77  % (12007)------------------------------
% 1.76/1.78  % (12006)Instruction limit reached!
% 1.76/1.78  % (12006)------------------------------
% 1.76/1.78  % (12006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.78  % (12006)Termination reason: Unknown
% 1.76/1.78  % (12006)Termination phase: Saturation
% 1.76/1.78  
% 1.76/1.78  % (12006)Memory used [KB]: 5884
% 1.76/1.78  % (12006)Time elapsed: 0.021 s
% 1.76/1.78  % (12006)Instructions burned: 63 (million)
% 1.76/1.78  % (12006)------------------------------
% 1.76/1.78  % (12006)------------------------------
% 1.76/1.78  % (12009)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/453Mi)
% 1.76/1.78  % (11995)Instruction limit reached!
% 1.76/1.78  % (11995)------------------------------
% 1.76/1.78  % (11995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.78  % (11995)Termination reason: Unknown
% 1.76/1.78  % (11995)Termination phase: Saturation
% 1.76/1.78  
% 1.76/1.78  % (11995)Memory used [KB]: 6908
% 1.76/1.78  % (11995)Time elapsed: 0.139 s
% 1.76/1.78  % (11995)Instructions burned: 450 (million)
% 1.76/1.78  % (11995)------------------------------
% 1.76/1.78  % (11995)------------------------------
% 1.76/1.79  % (12008)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/96Mi)
% 1.76/1.79  % (12010)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/71Mi)
% 1.76/1.79  % (12011)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/83Mi)
% 1.76/1.82  % (12010)Instruction limit reached!
% 1.76/1.82  % (12010)------------------------------
% 1.76/1.82  % (12010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.82  % (12010)Termination reason: Unknown
% 1.76/1.82  % (12010)Termination phase: Saturation
% 1.76/1.82  
% 1.76/1.82  % (12010)Memory used [KB]: 5884
% 1.76/1.82  % (12010)Time elapsed: 0.026 s
% 1.76/1.82  % (12010)Instructions burned: 72 (million)
% 1.76/1.82  % (12010)------------------------------
% 1.76/1.82  % (12010)------------------------------
% 1.76/1.82  % (12011)Instruction limit reached!
% 1.76/1.82  % (12011)------------------------------
% 1.76/1.82  % (12011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.82  % (12011)Termination reason: Unknown
% 1.76/1.82  % (12011)Termination phase: Saturation
% 1.76/1.82  
% 1.76/1.82  % (12011)Memory used [KB]: 5884
% 1.76/1.82  % (12011)Time elapsed: 0.028 s
% 1.76/1.82  % (12011)Instructions burned: 83 (million)
% 1.76/1.82  % (12011)------------------------------
% 1.76/1.82  % (12011)------------------------------
% 1.76/1.82  % (12012)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/11Mi)
% 1.76/1.83  % (12012)Instruction limit reached!
% 1.76/1.83  % (12012)------------------------------
% 1.76/1.83  % (12012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.83  % (12012)Termination reason: Unknown
% 1.76/1.83  % (12012)Termination phase: Saturation
% 1.76/1.83  
% 1.76/1.83  % (12012)Memory used [KB]: 5628
% 1.76/1.83  % (12012)Time elapsed: 0.004 s
% 1.76/1.83  % (12012)Instructions burned: 11 (million)
% 1.76/1.83  % (12012)------------------------------
% 1.76/1.83  % (12012)------------------------------
% 1.76/1.83  % (12013)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/41Mi)
% 1.76/1.84  % (12014)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_11629 for (2995ds/6Mi)
% 1.76/1.84  % (12014)Instruction limit reached!
% 1.76/1.84  % (12014)------------------------------
% 1.76/1.84  % (12014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.84  % (12014)Termination reason: Unknown
% 1.76/1.84  % (12014)Termination phase: Saturation
% 1.76/1.84  
% 1.76/1.84  % (12014)Memory used [KB]: 5500
% 1.76/1.84  % (12014)Time elapsed: 0.003 s
% 1.76/1.84  % (12014)Instructions burned: 7 (million)
% 1.76/1.84  % (12014)------------------------------
% 1.76/1.84  % (12014)------------------------------
% 1.76/1.84  % (11998)Instruction limit reached!
% 1.76/1.84  % (11998)------------------------------
% 1.76/1.84  % (11998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.84  % (11998)Termination reason: Unknown
% 1.76/1.84  % (11998)Termination phase: Saturation
% 1.76/1.84  
% 1.76/1.84  % (11998)Memory used [KB]: 6140
% 1.76/1.84  % (11998)Time elapsed: 0.159 s
% 1.76/1.84  % (11998)Instructions burned: 509 (million)
% 1.76/1.84  % (11998)------------------------------
% 1.76/1.84  % (11998)------------------------------
% 1.76/1.84  % (12013)Instruction limit reached!
% 1.76/1.84  % (12013)------------------------------
% 1.76/1.84  % (12013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.84  % (12013)Termination reason: Unknown
% 1.76/1.84  % (12013)Termination phase: Saturation
% 1.76/1.84  
% 1.76/1.84  % (12013)Memory used [KB]: 5756
% 1.76/1.84  % (12013)Time elapsed: 0.014 s
% 1.76/1.84  % (12013)Instructions burned: 42 (million)
% 1.76/1.84  % (12013)------------------------------
% 1.76/1.84  % (12013)------------------------------
% 1.76/1.85  % (12008)Instruction limit reached!
% 1.76/1.85  % (12008)------------------------------
% 1.76/1.85  % (12008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.85  % (12008)Termination reason: Unknown
% 1.76/1.85  % (12008)Termination phase: Saturation
% 1.76/1.85  
% 1.76/1.85  % (12008)Memory used [KB]: 5884
% 1.76/1.85  % (12008)Time elapsed: 0.059 s
% 1.76/1.85  % (12008)Instructions burned: 96 (million)
% 1.76/1.85  % (12008)------------------------------
% 1.76/1.85  % (12008)------------------------------
% 1.76/1.85  % (12015)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/150Mi)
% 1.76/1.85  % (12016)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/343Mi)
% 1.76/1.85  % (12017)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/109Mi)
% 1.76/1.86  % (12018)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/253Mi)
% 1.76/1.89  % (12017)Instruction limit reached!
% 1.76/1.89  % (12017)------------------------------
% 1.76/1.89  % (12017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.89  % (12017)Termination reason: Unknown
% 1.76/1.89  % (12017)Termination phase: Saturation
% 1.76/1.89  
% 1.76/1.89  % (12017)Memory used [KB]: 6268
% 1.76/1.89  % (12017)Time elapsed: 0.037 s
% 1.76/1.89  % (12017)Instructions burned: 111 (million)
% 1.76/1.89  % (12017)------------------------------
% 1.76/1.89  % (12017)------------------------------
% 1.76/1.89  % (12005)Instruction limit reached!
% 1.76/1.89  % (12005)------------------------------
% 1.76/1.89  % (12005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.89  % (12005)Termination reason: Unknown
% 1.76/1.89  % (12005)Termination phase: Saturation
% 1.76/1.89  
% 1.76/1.89  % (12005)Memory used [KB]: 3837
% 1.76/1.89  % (12005)Time elapsed: 0.135 s
% 1.76/1.89  % (12005)Instructions burned: 433 (million)
% 1.76/1.89  % (12005)------------------------------
% 1.76/1.89  % (12005)------------------------------
% 1.76/1.90  % (12019)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/140Mi)
% 1.76/1.90  % (12015)Instruction limit reached!
% 1.76/1.90  % (12015)------------------------------
% 1.76/1.90  % (12015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.90  % (12015)Termination reason: Unknown
% 1.76/1.90  % (12015)Termination phase: Saturation
% 1.76/1.90  
% 1.76/1.90  % (12015)Memory used [KB]: 6268
% 1.76/1.90  % (12015)Time elapsed: 0.049 s
% 1.76/1.90  % (12015)Instructions burned: 151 (million)
% 1.76/1.90  % (12015)------------------------------
% 1.76/1.90  % (12015)------------------------------
% 1.76/1.90  % (12020)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/614Mi)
% 1.76/1.91  % (12021)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/202Mi)
% 1.76/1.91  % (12021)Refutation not found, incomplete strategy
% 1.76/1.91  % (12021)------------------------------
% 1.76/1.91  % (12021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.91  % (12021)Termination reason: Refutation not found, incomplete strategy
% 1.76/1.91  
% 1.76/1.91  
% 1.76/1.91  % (12021)Memory used [KB]: 5628
% 1.76/1.91  % (12021)Time elapsed: 0.003 s
% 1.76/1.91  % (12021)Instructions burned: 5 (million)
% 1.76/1.91  % (12021)------------------------------
% 1.76/1.91  % (12021)------------------------------
% 1.76/1.92  % (12022)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/339Mi)
% 1.76/1.92  % (12009)Instruction limit reached!
% 1.76/1.92  % (12009)------------------------------
% 1.76/1.92  % (12009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.92  % (12009)Termination reason: Unknown
% 1.76/1.92  % (12009)Termination phase: Saturation
% 1.76/1.92  
% 1.76/1.92  % (12009)Memory used [KB]: 6140
% 1.76/1.92  % (12009)Time elapsed: 0.142 s
% 1.76/1.92  % (12009)Instructions burned: 454 (million)
% 1.76/1.92  % (12009)------------------------------
% 1.76/1.92  % (12009)------------------------------
% 1.76/1.93  % (12023)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_11629 for (2994ds/283Mi)
% 1.76/1.94  % (12019)Instruction limit reached!
% 1.76/1.94  % (12019)------------------------------
% 1.76/1.94  % (12019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.94  % (12019)Termination reason: Unknown
% 1.76/1.94  % (12019)Termination phase: Saturation
% 1.76/1.94  
% 1.76/1.94  % (12019)Memory used [KB]: 6140
% 1.76/1.94  % (12019)Time elapsed: 0.047 s
% 1.76/1.94  % (12019)Instructions burned: 140 (million)
% 1.76/1.94  % (12019)------------------------------
% 1.76/1.94  % (12019)------------------------------
% 1.76/1.95  % (12024)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_11629 for (2993ds/134Mi)
% 1.76/1.96  % (12018)Instruction limit reached!
% 1.76/1.96  % (12018)------------------------------
% 1.76/1.96  % (12018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.96  % (12018)Termination reason: Unknown
% 1.76/1.96  % (12018)Termination phase: Saturation
% 1.76/1.96  
% 1.76/1.96  % (12018)Memory used [KB]: 6140
% 1.76/1.96  % (12018)Time elapsed: 0.094 s
% 1.76/1.96  % (12018)Instructions burned: 254 (million)
% 1.76/1.96  % (12018)------------------------------
% 1.76/1.96  % (12018)------------------------------
% 1.76/1.96  % (12016)Instruction limit reached!
% 1.76/1.96  % (12016)------------------------------
% 1.76/1.96  % (12016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.96  % (12016)Termination reason: Unknown
% 1.76/1.96  % (12016)Termination phase: Saturation
% 1.76/1.96  
% 1.76/1.96  % (12016)Memory used [KB]: 6524
% 1.76/1.96  % (12016)Time elapsed: 0.112 s
% 1.76/1.96  % (12016)Instructions burned: 345 (million)
% 1.76/1.96  % (12016)------------------------------
% 1.76/1.96  % (12016)------------------------------
% 1.76/1.97  % (12025)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_11629 for (2993ds/298Mi)
% 1.76/1.97  % (12026)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_11629 for (2993ds/192Mi)
% 1.76/1.99  % (12024)Instruction limit reached!
% 1.76/1.99  % (12024)------------------------------
% 1.76/1.99  % (12024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.99  % (12024)Termination reason: Unknown
% 1.76/1.99  % (12024)Termination phase: Saturation
% 1.76/1.99  
% 1.76/1.99  % (12024)Memory used [KB]: 6012
% 1.76/1.99  % (12024)Time elapsed: 0.044 s
% 1.76/1.99  % (12024)Instructions burned: 135 (million)
% 1.76/1.99  % (12024)------------------------------
% 1.76/1.99  % (12024)------------------------------
% 1.76/2.00  % (12027)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_11629 for (2993ds/258Mi)
% 1.76/2.02  % (12023)Instruction limit reached!
% 1.76/2.02  % (12023)------------------------------
% 1.76/2.02  % (12023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/2.02  % (12023)Termination reason: Unknown
% 1.76/2.02  % (12023)Termination phase: Saturation
% 1.76/2.02  
% 1.76/2.02  % (12023)Memory used [KB]: 7803
% 1.76/2.02  % (12023)Time elapsed: 0.085 s
% 1.76/2.02  % (12023)Instructions burned: 285 (million)
% 1.76/2.02  % (12023)------------------------------
% 1.76/2.02  % (12023)------------------------------
% 6.56/2.02  % (12026)Instruction limit reached!
% 6.56/2.02  % (12026)------------------------------
% 6.56/2.02  % (12026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.02  % (12026)Termination reason: Unknown
% 6.56/2.02  % (12026)Termination phase: Saturation
% 6.56/2.02  
% 6.56/2.02  % (12026)Memory used [KB]: 6140
% 6.56/2.02  % (12026)Time elapsed: 0.055 s
% 6.56/2.02  % (12026)Instructions burned: 193 (million)
% 6.56/2.02  % (12026)------------------------------
% 6.56/2.02  % (12026)------------------------------
% 6.56/2.03  % (12022)Instruction limit reached!
% 6.56/2.03  % (12022)------------------------------
% 6.56/2.03  % (12022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.03  % (12022)Termination reason: Unknown
% 6.56/2.03  % (12022)Termination phase: Saturation
% 6.56/2.03  
% 6.56/2.03  % (12022)Memory used [KB]: 6140
% 6.56/2.03  % (12022)Time elapsed: 0.108 s
% 6.56/2.03  % (12022)Instructions burned: 340 (million)
% 6.56/2.03  % (12022)------------------------------
% 6.56/2.03  % (12022)------------------------------
% 6.56/2.03  % (12028)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_11629 for (2993ds/90Mi)
% 6.56/2.03  % (12029)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/231Mi)
% 6.56/2.03  % (12030)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/458Mi)
% 6.56/2.05  % (12028)Instruction limit reached!
% 6.56/2.05  % (12028)------------------------------
% 6.56/2.05  % (12028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.05  % (12028)Termination reason: Unknown
% 6.56/2.05  % (12028)Termination phase: Saturation
% 6.56/2.05  
% 6.56/2.05  % (12028)Memory used [KB]: 5884
% 6.56/2.05  % (12028)Time elapsed: 0.028 s
% 6.56/2.05  % (12028)Instructions burned: 90 (million)
% 6.56/2.05  % (12028)------------------------------
% 6.56/2.05  % (12028)------------------------------
% 6.56/2.06  % (12025)Instruction limit reached!
% 6.56/2.06  % (12025)------------------------------
% 6.56/2.06  % (12025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.06  % (12025)Termination reason: Unknown
% 6.56/2.06  % (12025)Termination phase: Saturation
% 6.56/2.06  
% 6.56/2.06  % (12025)Memory used [KB]: 6268
% 6.56/2.06  % (12025)Time elapsed: 0.096 s
% 6.56/2.06  % (12025)Instructions burned: 300 (million)
% 6.56/2.06  % (12025)------------------------------
% 6.56/2.06  % (12025)------------------------------
% 6.56/2.06  % (12031)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/31Mi)
% 6.56/2.07  % (12032)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/297Mi)
% 6.56/2.07  % (12031)Instruction limit reached!
% 6.56/2.07  % (12031)------------------------------
% 6.56/2.07  % (12031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.07  % (12031)Termination reason: Unknown
% 6.56/2.07  % (12031)Termination phase: Saturation
% 6.56/2.07  
% 6.56/2.07  % (12031)Memory used [KB]: 5756
% 6.56/2.07  % (12031)Time elapsed: 0.011 s
% 6.56/2.07  % (12031)Instructions burned: 31 (million)
% 6.56/2.07  % (12031)------------------------------
% 6.56/2.07  % (12031)------------------------------
% 6.56/2.08  % (12020)Instruction limit reached!
% 6.56/2.08  % (12020)------------------------------
% 6.56/2.08  % (12020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.08  % (12020)Termination reason: Unknown
% 6.56/2.08  % (12020)Termination phase: Saturation
% 6.56/2.08  
% 6.56/2.08  % (12020)Memory used [KB]: 6524
% 6.56/2.08  % (12020)Time elapsed: 0.176 s
% 6.56/2.08  % (12020)Instructions burned: 615 (million)
% 6.56/2.08  % (12020)------------------------------
% 6.56/2.08  % (12020)------------------------------
% 6.56/2.08  % (12002)Instruction limit reached!
% 6.56/2.08  % (12002)------------------------------
% 6.56/2.08  % (12002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.08  % (12002)Termination reason: Unknown
% 6.56/2.08  % (12002)Termination phase: Saturation
% 6.56/2.08  
% 6.56/2.08  % (12002)Memory used [KB]: 6908
% 6.56/2.08  % (12002)Time elapsed: 0.348 s
% 6.56/2.08  % (12002)Instructions burned: 1089 (million)
% 6.56/2.08  % (12002)------------------------------
% 6.56/2.08  % (12002)------------------------------
% 6.56/2.08  % (12027)Instruction limit reached!
% 6.56/2.08  % (12027)------------------------------
% 6.56/2.08  % (12027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.08  % (12027)Termination reason: Unknown
% 6.56/2.08  % (12027)Termination phase: Saturation
% 6.56/2.08  
% 6.56/2.08  % (12027)Memory used [KB]: 6140
% 6.56/2.08  % (12027)Time elapsed: 0.098 s
% 6.56/2.08  % (12027)Instructions burned: 259 (million)
% 6.56/2.08  % (12027)------------------------------
% 6.56/2.08  % (12027)------------------------------
% 6.56/2.08  % (12033)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/987Mi)
% 6.56/2.09  % (12034)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/182Mi)
% 6.56/2.09  % (12035)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/182Mi)
% 6.56/2.09  % (12036)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/154Mi)
% 6.56/2.10  % (12036)Refutation not found, incomplete strategy
% 6.56/2.10  % (12036)------------------------------
% 6.56/2.10  % (12036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.10  % (12036)Termination reason: Refutation not found, incomplete strategy
% 6.56/2.10  
% 6.56/2.10  
% 6.56/2.10  % (12036)Memory used [KB]: 5756
% 6.56/2.10  % (12036)Time elapsed: 0.008 s
% 6.56/2.10  % (12036)Instructions burned: 22 (million)
% 6.56/2.10  % (12036)------------------------------
% 6.56/2.10  % (12036)------------------------------
% 6.56/2.10  % (12029)Instruction limit reached!
% 6.56/2.10  % (12029)------------------------------
% 6.56/2.10  % (12029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.10  % (12029)Termination reason: Unknown
% 6.56/2.10  % (12029)Termination phase: Saturation
% 6.56/2.10  
% 6.56/2.10  % (12029)Memory used [KB]: 6652
% 6.56/2.10  % (12029)Time elapsed: 0.073 s
% 6.56/2.10  % (12029)Instructions burned: 231 (million)
% 6.56/2.10  % (12029)------------------------------
% 6.56/2.10  % (12029)------------------------------
% 6.56/2.11  % (12037)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/79Mi)
% 6.56/2.11  % (12038)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_11629 for (2992ds/216Mi)
% 7.00/2.13  % (12037)Instruction limit reached!
% 7.00/2.13  % (12037)------------------------------
% 7.00/2.13  % (12037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.00/2.13  % (12037)Termination reason: Unknown
% 7.00/2.13  % (12037)Termination phase: Saturation
% 7.00/2.13  
% 7.00/2.13  % (12037)Memory used [KB]: 5756
% 7.00/2.13  % (12037)Time elapsed: 0.028 s
% 7.00/2.13  % (12037)Instructions burned: 82 (million)
% 7.00/2.13  % (12037)------------------------------
% 7.00/2.13  % (12037)------------------------------
% 7.00/2.14  % (12039)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/114Mi)
% 7.00/2.14  % (12034)Instruction limit reached!
% 7.00/2.14  % (12034)------------------------------
% 7.00/2.14  % (12034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.00/2.14  % (12034)Termination reason: Unknown
% 7.00/2.14  % (12034)Termination phase: Saturation
% 7.00/2.14  
% 7.00/2.14  % (12034)Memory used [KB]: 6780
% 7.00/2.14  % (12034)Time elapsed: 0.059 s
% 7.00/2.14  % (12034)Instructions burned: 184 (million)
% 7.00/2.14  % (12034)------------------------------
% 7.00/2.14  % (12034)------------------------------
% 7.00/2.15  % (12035)Instruction limit reached!
% 7.00/2.15  % (12035)------------------------------
% 7.00/2.15  % (12035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.00/2.15  % (12035)Termination reason: Unknown
% 7.00/2.15  % (12035)Termination phase: Saturation
% 7.00/2.15  
% 7.00/2.15  % (12035)Memory used [KB]: 6012
% 7.00/2.15  % (12035)Time elapsed: 0.058 s
% 7.00/2.15  % (12035)Instructions burned: 182 (million)
% 7.00/2.15  % (12035)------------------------------
% 7.00/2.15  % (12035)------------------------------
% 7.00/2.15  % (12040)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/922Mi)
% 7.00/2.16  % (12041)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/182Mi)
% 7.00/2.16  % (12032)Instruction limit reached!
% 7.00/2.16  % (12032)------------------------------
% 7.00/2.16  % (12032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.00/2.16  % (12032)Termination reason: Unknown
% 7.00/2.16  % (12032)Termination phase: Saturation
% 7.00/2.16  
% 7.00/2.16  % (12032)Memory used [KB]: 6652
% 7.00/2.16  % (12032)Time elapsed: 0.091 s
% 7.00/2.16  % (12032)Instructions burned: 297 (million)
% 7.00/2.16  % (12032)------------------------------
% 7.00/2.16  % (12032)------------------------------
% 7.00/2.17  % (12042)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/164Mi)
% 7.00/2.18  % (12039)Instruction limit reached!
% 7.00/2.18  % (12039)------------------------------
% 7.00/2.18  % (12039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.00/2.18  % (12039)Termination reason: Unknown
% 7.00/2.18  % (12039)Termination phase: Saturation
% 7.00/2.18  
% 7.00/2.18  % (12039)Memory used [KB]: 6140
% 7.00/2.18  % (12039)Time elapsed: 0.037 s
% 7.00/2.18  % (12039)Instructions burned: 115 (million)
% 7.00/2.18  % (12039)------------------------------
% 7.00/2.18  % (12039)------------------------------
% 7.00/2.18  % (12030)Instruction limit reached!
% 7.00/2.18  % (12030)------------------------------
% 7.00/2.18  % (12030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.00/2.18  % (12030)Termination reason: Unknown
% 7.00/2.18  % (12030)Termination phase: Saturation
% 7.00/2.18  
% 7.00/2.18  % (12030)Memory used [KB]: 6780
% 7.00/2.18  % (12030)Time elapsed: 0.145 s
% 7.00/2.18  % (12030)Instructions burned: 460 (million)
% 7.00/2.18  % (12030)------------------------------
% 7.00/2.18  % (12030)------------------------------
% 7.00/2.18  % (12038)Instruction limit reached!
% 7.00/2.18  % (12038)------------------------------
% 7.00/2.18  % (12038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.00/2.18  % (12038)Termination reason: Unknown
% 7.00/2.18  % (12038)Termination phase: Saturation
% 7.00/2.18  
% 7.00/2.18  % (12038)Memory used [KB]: 6268
% 7.00/2.18  % (12038)Time elapsed: 0.067 s
% 7.00/2.18  % (12038)Instructions burned: 216 (million)
% 7.00/2.18  % (12038)------------------------------
% 7.00/2.18  % (12038)------------------------------
% 7.00/2.19  % (12043)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/50Mi)
% 7.00/2.19  % (12044)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/368Mi)
% 7.00/2.19  % (12045)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/1021Mi)
% 7.54/2.20  % (12043)Instruction limit reached!
% 7.54/2.20  % (12043)------------------------------
% 7.54/2.20  % (12043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.20  % (12043)Termination reason: Unknown
% 7.54/2.20  % (12043)Termination phase: Saturation
% 7.54/2.20  
% 7.54/2.20  % (12043)Memory used [KB]: 10362
% 7.54/2.20  % (12043)Time elapsed: 0.018 s
% 7.54/2.20  % (12043)Instructions burned: 52 (million)
% 7.54/2.20  % (12043)------------------------------
% 7.54/2.20  % (12043)------------------------------
% 7.54/2.21  % (12041)Instruction limit reached!
% 7.54/2.21  % (12041)------------------------------
% 7.54/2.21  % (12041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.21  % (12041)Termination reason: Unknown
% 7.54/2.21  % (12041)Termination phase: Saturation
% 7.54/2.21  
% 7.54/2.21  % (12041)Memory used [KB]: 6012
% 7.54/2.21  % (12041)Time elapsed: 0.058 s
% 7.54/2.21  % (12041)Instructions burned: 182 (million)
% 7.54/2.21  % (12041)------------------------------
% 7.54/2.21  % (12041)------------------------------
% 7.54/2.21  % (12046)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/267Mi)
% 7.54/2.22  % (12042)Instruction limit reached!
% 7.54/2.22  % (12042)------------------------------
% 7.54/2.22  % (12042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.22  % (12042)Termination reason: Unknown
% 7.54/2.22  % (12042)Termination phase: Saturation
% 7.54/2.22  
% 7.54/2.22  % (12042)Memory used [KB]: 1407
% 7.54/2.22  % (12042)Time elapsed: 0.051 s
% 7.54/2.22  % (12042)Instructions burned: 166 (million)
% 7.54/2.22  % (12042)------------------------------
% 7.54/2.22  % (12042)------------------------------
% 7.54/2.22  % (12047)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/204Mi)
% 7.54/2.23  % (12048)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_11629 for (2991ds/26Mi)
% 7.54/2.24  % (12048)Instruction limit reached!
% 7.54/2.24  % (12048)------------------------------
% 7.54/2.24  % (12048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.24  % (12048)Termination reason: Unknown
% 7.54/2.24  % (12048)Termination phase: Saturation
% 7.54/2.24  
% 7.54/2.24  % (12048)Memory used [KB]: 5756
% 7.54/2.24  % (12048)Time elapsed: 0.009 s
% 7.54/2.24  % (12048)Instructions burned: 26 (million)
% 7.54/2.24  % (12048)------------------------------
% 7.54/2.24  % (12048)------------------------------
% 7.54/2.25  % (12049)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_11629 for (2990ds/53Mi)
% 7.54/2.26  % (12049)Instruction limit reached!
% 7.54/2.26  % (12049)------------------------------
% 7.54/2.26  % (12049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.26  % (12049)Termination reason: Unknown
% 7.54/2.26  % (12049)Termination phase: Saturation
% 7.54/2.26  
% 7.54/2.26  % (12049)Memory used [KB]: 5756
% 7.54/2.26  % (12049)Time elapsed: 0.018 s
% 7.54/2.26  % (12049)Instructions burned: 56 (million)
% 7.54/2.26  % (12049)------------------------------
% 7.54/2.26  % (12049)------------------------------
% 7.54/2.27  % (12050)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_11629 for (2990ds/4436Mi)
% 7.54/2.29  % (12047)Instruction limit reached!
% 7.54/2.29  % (12047)------------------------------
% 7.54/2.29  % (12047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.29  % (12047)Termination reason: Unknown
% 7.54/2.29  % (12047)Termination phase: Saturation
% 7.54/2.29  
% 7.54/2.29  % (12047)Memory used [KB]: 6012
% 7.54/2.29  % (12047)Time elapsed: 0.066 s
% 7.54/2.29  % (12047)Instructions burned: 205 (million)
% 7.54/2.29  % (12047)------------------------------
% 7.54/2.29  % (12047)------------------------------
% 7.54/2.30  % (12051)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_11629 for (2990ds/1539Mi)
% 7.81/2.30  % (12046)Instruction limit reached!
% 7.81/2.30  % (12046)------------------------------
% 7.81/2.30  % (12046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.81/2.30  % (12046)Termination reason: Unknown
% 7.81/2.30  % (12046)Termination phase: Saturation
% 7.81/2.30  
% 7.81/2.30  % (12046)Memory used [KB]: 6524
% 7.81/2.30  % (12046)Time elapsed: 0.085 s
% 7.81/2.30  % (12046)Instructions burned: 270 (million)
% 7.81/2.30  % (12046)------------------------------
% 7.81/2.30  % (12046)------------------------------
% 7.81/2.30  % (12044)Instruction limit reached!
% 7.81/2.30  % (12044)------------------------------
% 7.81/2.30  % (12044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.81/2.30  % (12044)Termination reason: Unknown
% 7.81/2.30  % (12044)Termination phase: Saturation
% 7.81/2.30  
% 7.81/2.30  % (12044)Memory used [KB]: 6908
% 7.81/2.30  % (12044)Time elapsed: 0.111 s
% 7.81/2.30  % (12044)Instructions burned: 371 (million)
% 7.81/2.30  % (12044)------------------------------
% 7.81/2.30  % (12044)------------------------------
% 7.81/2.31  % (12052)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_11629 for (2990ds/408Mi)
% 7.81/2.31  % (12053)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_11629 for (2990ds/5205Mi)
% 7.81/2.38  % (12033)Instruction limit reached!
% 7.81/2.38  % (12033)------------------------------
% 7.81/2.38  % (12033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.81/2.38  % (12033)Termination reason: Unknown
% 7.81/2.38  % (12033)Termination phase: Saturation
% 7.81/2.38  
% 7.81/2.38  % (12033)Memory used [KB]: 7547
% 7.81/2.38  % (12033)Time elapsed: 0.301 s
% 7.81/2.38  % (12033)Instructions burned: 990 (million)
% 7.81/2.38  % (12033)------------------------------
% 7.81/2.38  % (12033)------------------------------
% 7.81/2.39  % (12054)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_11629 for (2989ds/1913Mi)
% 8.33/2.42  % (12052)Instruction limit reached!
% 8.33/2.42  % (12052)------------------------------
% 8.33/2.42  % (12052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.42  % (12052)Termination reason: Unknown
% 8.33/2.42  % (12052)Termination phase: Saturation
% 8.33/2.42  
% 8.33/2.42  % (12052)Memory used [KB]: 6780
% 8.33/2.42  % (12052)Time elapsed: 0.118 s
% 8.33/2.42  % (12052)Instructions burned: 408 (million)
% 8.33/2.42  % (12052)------------------------------
% 8.33/2.42  % (12052)------------------------------
% 8.33/2.43  % (12055)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_11629 for (2989ds/4350Mi)
% 8.33/2.45  % (12040)Instruction limit reached!
% 8.33/2.45  % (12040)------------------------------
% 8.33/2.45  % (12040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.45  % (12040)Termination reason: Unknown
% 8.33/2.45  % (12040)Termination phase: Saturation
% 8.33/2.45  
% 8.33/2.45  % (12040)Memory used [KB]: 7419
% 8.33/2.45  % (12040)Time elapsed: 0.293 s
% 8.33/2.45  % (12040)Instructions burned: 924 (million)
% 8.33/2.45  % (12040)------------------------------
% 8.33/2.45  % (12040)------------------------------
% 8.33/2.46  % (12056)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_11629 for (2988ds/68Mi)
% 8.33/2.48  % (12056)Instruction limit reached!
% 8.33/2.48  % (12056)------------------------------
% 8.33/2.48  % (12056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.48  % (12056)Termination reason: Unknown
% 8.33/2.48  % (12056)Termination phase: Saturation
% 8.33/2.48  
% 8.33/2.48  % (12056)Memory used [KB]: 6012
% 8.33/2.48  % (12056)Time elapsed: 0.023 s
% 8.33/2.48  % (12056)Instructions burned: 71 (million)
% 8.33/2.48  % (12056)------------------------------
% 8.33/2.48  % (12056)------------------------------
% 8.33/2.49  % (12057)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_11629 for (2988ds/358Mi)
% 8.81/2.50  % (12045)Instruction limit reached!
% 8.81/2.50  % (12045)------------------------------
% 8.81/2.50  % (12045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.50  % (12045)Termination reason: Unknown
% 8.81/2.50  % (12045)Termination phase: Saturation
% 8.81/2.50  
% 8.81/2.50  % (12045)Memory used [KB]: 7291
% 8.81/2.50  % (12045)Time elapsed: 0.315 s
% 8.81/2.50  % (12045)Instructions burned: 1023 (million)
% 8.81/2.50  % (12045)------------------------------
% 8.81/2.50  % (12045)------------------------------
% 8.81/2.51  % (12058)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_11629 for (2988ds/31Mi)
% 8.81/2.52  % (12058)Instruction limit reached!
% 8.81/2.52  % (12058)------------------------------
% 8.81/2.52  % (12058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.52  % (12058)Termination reason: Unknown
% 8.81/2.52  % (12058)Termination phase: Saturation
% 8.81/2.52  
% 8.81/2.52  % (12058)Memory used [KB]: 5756
% 8.81/2.52  % (12058)Time elapsed: 0.011 s
% 8.81/2.52  % (12058)Instructions burned: 32 (million)
% 8.81/2.52  % (12058)------------------------------
% 8.81/2.52  % (12058)------------------------------
% 8.81/2.53  % (12059)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_11629 for (2988ds/279Mi)
% 8.81/2.54  % (12059)Refutation not found, incomplete strategy
% 8.81/2.54  % (12059)------------------------------
% 8.81/2.54  % (12059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.54  % (12059)Termination reason: Refutation not found, incomplete strategy
% 8.81/2.54  
% 8.81/2.54  
% 8.81/2.54  % (12059)Memory used [KB]: 5628
% 8.81/2.54  % (12059)Time elapsed: 0.004 s
% 8.81/2.54  % (12059)Instructions burned: 9 (million)
% 8.81/2.54  % (12059)------------------------------
% 8.81/2.54  % (12059)------------------------------
% 8.81/2.55  % (12060)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_11629 for (2988ds/258Mi)
% 8.81/2.59  % (12057)Instruction limit reached!
% 8.81/2.59  % (12057)------------------------------
% 8.81/2.59  % (12057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.81/2.59  % (12057)Termination reason: Unknown
% 8.81/2.59  % (12057)Termination phase: Saturation
% 8.81/2.59  
% 8.81/2.59  % (12057)Memory used [KB]: 6396
% 8.81/2.59  % (12057)Time elapsed: 0.108 s
% 8.81/2.59  % (12057)Instructions burned: 360 (million)
% 8.81/2.59  % (12057)------------------------------
% 8.81/2.59  % (12057)------------------------------
% 9.27/2.60  % (12061)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_11629 for (2987ds/26Mi)
% 9.27/2.61  % (12061)Instruction limit reached!
% 9.27/2.61  % (12061)------------------------------
% 9.27/2.61  % (12061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.27/2.61  % (12061)Termination reason: Unknown
% 9.27/2.61  % (12061)Termination phase: Saturation
% 9.27/2.61  
% 9.27/2.61  % (12061)Memory used [KB]: 5756
% 9.27/2.61  % (12061)Time elapsed: 0.010 s
% 9.27/2.61  % (12061)Instructions burned: 27 (million)
% 9.27/2.61  % (12061)------------------------------
% 9.27/2.61  % (12061)------------------------------
% 9.27/2.62  % (12062)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_11629 for (2987ds/995Mi)
% 9.27/2.63  % (12060)Instruction limit reached!
% 9.27/2.63  % (12060)------------------------------
% 9.27/2.63  % (12060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.27/2.63  % (12060)Termination reason: Unknown
% 9.27/2.63  % (12060)Termination phase: Saturation
% 9.27/2.63  
% 9.27/2.63  % (12060)Memory used [KB]: 6652
% 9.27/2.63  % (12060)Time elapsed: 0.082 s
% 9.27/2.63  % (12060)Instructions burned: 258 (million)
% 9.27/2.63  % (12060)------------------------------
% 9.27/2.63  % (12060)------------------------------
% 9.27/2.64  % (12063)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_11629 for (2987ds/373Mi)
% 9.39/2.75  % (12063)Instruction limit reached!
% 9.39/2.75  % (12063)------------------------------
% 9.39/2.75  % (12063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.75  % (12063)Termination reason: Unknown
% 9.39/2.75  % (12063)Termination phase: Saturation
% 9.39/2.75  
% 9.39/2.75  % (12063)Memory used [KB]: 6908
% 9.39/2.75  % (12063)Time elapsed: 0.118 s
% 9.39/2.75  % (12063)Instructions burned: 373 (million)
% 9.39/2.75  % (12063)------------------------------
% 9.39/2.75  % (12063)------------------------------
% 9.39/2.76  % (12064)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_11629 for (2985ds/253Mi)
% 9.39/2.77  % (12051)Instruction limit reached!
% 9.39/2.77  % (12051)------------------------------
% 9.39/2.77  % (12051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.77  % (12051)Termination reason: Unknown
% 9.39/2.77  % (12051)Termination phase: Saturation
% 9.39/2.77  
% 9.39/2.77  % (12051)Memory used [KB]: 7931
% 9.39/2.77  % (12051)Time elapsed: 0.472 s
% 9.39/2.77  % (12051)Instructions burned: 1540 (million)
% 9.39/2.77  % (12051)------------------------------
% 9.39/2.77  % (12051)------------------------------
% 9.39/2.78  % (12065)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_11629 for (2985ds/832Mi)
% 9.99/2.84  % (12064)Instruction limit reached!
% 9.99/2.84  % (12064)------------------------------
% 9.99/2.84  % (12064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.99/2.84  % (12064)Termination reason: Unknown
% 9.99/2.84  % (12064)Termination phase: Saturation
% 9.99/2.84  
% 9.99/2.84  % (12064)Memory used [KB]: 6140
% 9.99/2.84  % (12064)Time elapsed: 0.097 s
% 9.99/2.84  % (12064)Instructions burned: 254 (million)
% 9.99/2.84  % (12064)------------------------------
% 9.99/2.84  % (12064)------------------------------
% 9.99/2.85  % (12066)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_11629 for (2984ds/668Mi)
% 10.09/2.94  % (12062)Instruction limit reached!
% 10.09/2.94  % (12062)------------------------------
% 10.09/2.94  % (12062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.09/2.94  % (12062)Termination reason: Unknown
% 10.09/2.94  % (12062)Termination phase: Saturation
% 10.09/2.94  
% 10.09/2.94  % (12062)Memory used [KB]: 7164
% 10.09/2.94  % (12062)Time elapsed: 0.317 s
% 10.09/2.94  % (12062)Instructions burned: 995 (million)
% 10.09/2.94  % (12062)------------------------------
% 10.09/2.94  % (12062)------------------------------
% 10.09/2.95  % (12067)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_11629 for (2983ds/40Mi)
% 10.09/2.95  % (12054)Instruction limit reached!
% 10.09/2.95  % (12054)------------------------------
% 10.09/2.95  % (12054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.09/2.95  % (12054)Termination reason: Unknown
% 10.09/2.95  % (12054)Termination phase: Saturation
% 10.09/2.95  
% 10.09/2.95  % (12054)Memory used [KB]: 3709
% 10.09/2.95  % (12054)Time elapsed: 0.558 s
% 10.09/2.95  % (12054)Instructions burned: 1916 (million)
% 10.09/2.95  % (12054)------------------------------
% 10.09/2.95  % (12054)------------------------------
% 10.09/2.96  % (12068)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_11629 for (2983ds/294Mi)
% 10.09/2.96  % (12067)Instruction limit reached!
% 10.09/2.96  % (12067)------------------------------
% 10.09/2.96  % (12067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.09/2.96  % (12067)Termination reason: Unknown
% 10.09/2.96  % (12067)Termination phase: Saturation
% 10.09/2.96  
% 10.09/2.96  % (12067)Memory used [KB]: 5756
% 10.09/2.96  % (12067)Time elapsed: 0.014 s
% 10.09/2.96  % (12067)Instructions burned: 40 (million)
% 10.09/2.96  % (12067)------------------------------
% 10.09/2.96  % (12067)------------------------------
% 10.09/2.97  % (12069)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_11629 for (2983ds/187Mi)
% 10.09/2.98  % (12065)Instruction limit reached!
% 10.09/2.98  % (12065)------------------------------
% 10.09/2.98  % (12065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.09/2.98  % (12065)Termination reason: Unknown
% 10.09/2.98  % (12065)Termination phase: Saturation
% 10.09/2.98  
% 10.09/2.98  % (12065)Memory used [KB]: 5884
% 10.09/2.98  % (12065)Time elapsed: 0.225 s
% 10.09/2.98  % (12065)Instructions burned: 833 (million)
% 10.09/2.98  % (12065)------------------------------
% 10.09/2.98  % (12065)------------------------------
% 10.09/2.99  % (12070)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_11629 for (2983ds/371Mi)
% 13.57/3.03  % (12069)Instruction limit reached!
% 13.57/3.03  % (12069)------------------------------
% 13.57/3.03  % (12069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.03  % (12069)Termination reason: Unknown
% 13.57/3.03  % (12069)Termination phase: Saturation
% 13.57/3.03  
% 13.57/3.03  % (12069)Memory used [KB]: 6652
% 13.57/3.03  % (12069)Time elapsed: 0.058 s
% 13.57/3.03  % (12069)Instructions burned: 189 (million)
% 13.57/3.03  % (12069)------------------------------
% 13.57/3.03  % (12069)------------------------------
% 13.57/3.04  % (12071)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_11629 for (2983ds/1827Mi)
% 13.57/3.04  % (12068)Instruction limit reached!
% 13.57/3.04  % (12068)------------------------------
% 13.57/3.04  % (12068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.04  % (12068)Termination reason: Unknown
% 13.57/3.04  % (12068)Termination phase: Saturation
% 13.57/3.04  
% 13.57/3.04  % (12068)Memory used [KB]: 6396
% 13.57/3.04  % (12068)Time elapsed: 0.086 s
% 13.57/3.04  % (12068)Instructions burned: 294 (million)
% 13.57/3.04  % (12068)------------------------------
% 13.57/3.04  % (12068)------------------------------
% 13.57/3.04  % (12066)Instruction limit reached!
% 13.57/3.04  % (12066)------------------------------
% 13.57/3.04  % (12066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.04  % (12066)Termination reason: Unknown
% 13.57/3.04  % (12066)Termination phase: Saturation
% 13.57/3.04  
% 13.57/3.04  % (12066)Memory used [KB]: 11129
% 13.57/3.04  % (12066)Time elapsed: 0.198 s
% 13.57/3.04  % (12066)Instructions burned: 669 (million)
% 13.57/3.04  % (12066)------------------------------
% 13.57/3.04  % (12066)------------------------------
% 13.57/3.05  % (12072)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_11629 for (2982ds/70Mi)
% 13.57/3.05  % (12073)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_11629 for (2982ds/316Mi)
% 13.57/3.06  % (12073)Refutation not found, incomplete strategy
% 13.57/3.06  % (12073)------------------------------
% 13.57/3.06  % (12073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.06  % (12073)Termination reason: Refutation not found, incomplete strategy
% 13.57/3.06  
% 13.57/3.06  
% 13.57/3.06  % (12073)Memory used [KB]: 5628
% 13.57/3.06  % (12073)Time elapsed: 0.004 s
% 13.57/3.06  % (12073)Instructions burned: 10 (million)
% 13.57/3.06  % (12073)------------------------------
% 13.57/3.06  % (12073)------------------------------
% 13.57/3.07  % (12074)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_11629 for (2982ds/932Mi)
% 13.57/3.07  % (12072)Instruction limit reached!
% 13.57/3.07  % (12072)------------------------------
% 13.57/3.07  % (12072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.07  % (12072)Termination reason: Unknown
% 13.57/3.07  % (12072)Termination phase: Saturation
% 13.57/3.07  
% 13.57/3.07  % (12072)Memory used [KB]: 1535
% 13.57/3.07  % (12072)Time elapsed: 0.023 s
% 13.57/3.07  % (12072)Instructions burned: 70 (million)
% 13.57/3.07  % (12072)------------------------------
% 13.57/3.07  % (12072)------------------------------
% 13.57/3.08  % (12075)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_11629 for (2982ds/4714Mi)
% 13.57/3.09  % (12075)Refutation not found, incomplete strategy
% 13.57/3.09  % (12075)------------------------------
% 13.57/3.09  % (12075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.09  % (12075)Termination reason: Refutation not found, incomplete strategy
% 13.57/3.09  
% 13.57/3.09  
% 13.57/3.09  % (12075)Memory used [KB]: 5628
% 13.57/3.09  % (12075)Time elapsed: 0.004 s
% 13.57/3.09  % (12075)Instructions burned: 10 (million)
% 13.57/3.09  % (12075)------------------------------
% 13.57/3.09  % (12075)------------------------------
% 13.57/3.10  % (12076)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_11629 for (2982ds/8250Mi)
% 13.57/3.10  % (12070)Instruction limit reached!
% 13.57/3.10  % (12070)------------------------------
% 13.57/3.10  % (12070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.10  % (12070)Termination reason: Unknown
% 13.57/3.10  % (12070)Termination phase: Saturation
% 13.57/3.10  
% 13.57/3.10  % (12070)Memory used [KB]: 6396
% 13.57/3.10  % (12070)Time elapsed: 0.115 s
% 13.57/3.10  % (12070)Instructions burned: 371 (million)
% 13.57/3.10  % (12070)------------------------------
% 13.57/3.10  % (12070)------------------------------
% 13.57/3.11  % (12077)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_11629 for (2982ds/770Mi)
% 13.57/3.11  % (12077)Refutation not found, incomplete strategy
% 13.57/3.11  % (12077)------------------------------
% 13.57/3.11  % (12077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.11  % (12077)Termination reason: Refutation not found, incomplete strategy
% 13.57/3.11  
% 13.57/3.11  
% 13.57/3.11  % (12077)Memory used [KB]: 5500
% 13.57/3.11  % (12077)Time elapsed: 0.002 s
% 13.57/3.11  % (12077)Instructions burned: 4 (million)
% 13.57/3.11  % (12077)------------------------------
% 13.57/3.11  % (12077)------------------------------
% 14.13/3.12  % (12078)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_11629 for (2982ds/794Mi)
% 14.13/3.14  % (12071)First to succeed.
% 14.13/3.14  % (12071)Refutation found. Thanks to Tanya!
% 14.13/3.14  % SZS status Theorem for DTF2THF_11629
% 14.13/3.14  % SZS output start Proof for DTF2THF_11629
% 14.13/3.14  thf(type_def_6, type, elem: $tType).
% 14.13/3.14  thf(type_def_7, type, nat: $tType).
% 14.13/3.14  thf(type_def_8, type, list: $tType).
% 14.13/3.14  thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 14.13/3.14  thf(func_def_2, type, elem: $tType).
% 14.13/3.14  thf(func_def_3, type, elemStar: elem > elem > $o).
% 14.13/3.14  thf(func_def_4, type, nat: $tType).
% 14.13/3.14  thf(func_def_5, type, natStar: nat > nat > $o).
% 14.13/3.14  thf(func_def_6, type, zero: nat).
% 14.13/3.14  thf(func_def_7, type, suc: nat > nat).
% 14.13/3.14  thf(func_def_8, type, plus: nat > nat > nat).
% 14.13/3.14  thf(func_def_9, type, list: $tType).
% 14.13/3.14  thf(func_def_10, type, listStar: nat > list > list > $o).
% 14.13/3.14  thf(func_def_11, type, nil: list).
% 14.13/3.14  thf(func_def_12, type, cons: nat > elem > list > list).
% 14.13/3.14  thf(func_def_13, type, app: nat > nat > list > list > list).
% 14.13/3.14  thf(func_def_14, type, rev: nat > list > list).
% 14.13/3.14  thf(func_def_17, type, sK0: nat).
% 14.13/3.14  thf(func_def_18, type, sK1: list).
% 14.13/3.14  thf(func_def_19, type, sK2: (nat > $o) > nat).
% 14.13/3.14  thf(func_def_20, type, sK3: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.13/3.14  thf(func_def_21, type, sK4: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.13/3.14  thf(func_def_22, type, sK5: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.13/3.14  thf(func_def_23, type, sK6: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.13/3.14  thf(func_def_24, type, sK7: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.13/3.14  thf(func_def_27, type, ph9: !>[X0: $tType]:(X0)).
% 14.13/3.14  thf(f1047,plain,(
% 14.13/3.14    $false),
% 14.13/3.14    inference(subsumption_resolution,[status(thm)],[f1044,f72])).
% 14.13/3.14  thf(f72,plain,(
% 14.13/3.14    ((listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ (app @ zero @ sK0 @ nil @ sK1)) != $true)),
% 14.13/3.14    inference(cnf_transformation,[status(thm)],[f59])).
% 14.13/3.14  thf(f59,plain,(
% 14.13/3.14    ((listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ (app @ zero @ sK0 @ (rev @ zero @ nil) @ sK1)) = $true) & ((listStar @ sK0 @ sK1 @ sK1) = $true) & ((listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ (app @ zero @ sK0 @ nil @ sK1)) != $true)),
% 14.13/3.14    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f50,f58])).
% 14.13/3.14  thf(f58,plain,(
% 14.13/3.14    ? [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1))) & ($true = (listStar @ X0 @ X1 @ X1)) & ($true != (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1)))) => (((listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ (app @ zero @ sK0 @ (rev @ zero @ nil) @ sK1)) = $true) & ((listStar @ sK0 @ sK1 @ sK1) = $true) & ((listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ (app @ zero @ sK0 @ nil @ sK1)) != $true))),
% 14.13/3.14    introduced(definition,[],[choice_axiom])).
% 14.13/3.14  thf(f50,plain,(
% 14.13/3.14    ? [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1))) & ($true = (listStar @ X0 @ X1 @ X1)) & ($true != (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1))))),
% 14.13/3.14    inference(flattening,[status(thm)],[f49])).
% 14.13/3.14  thf(f49,plain,(
% 14.13/3.14    ? [X0 : nat,X1 : list] : ((($true != (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1))) & ($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1)))) & ($true = (listStar @ X0 @ X1 @ X1)))),
% 14.13/3.14    inference(ennf_transformation,[status(thm)],[f21])).
% 14.13/3.14  thf(f21,plain,(
% 14.13/3.14    ~! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ X1)) => (($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1))) => ($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1)))))),
% 14.13/3.14    inference(fool_elimination,[status(thm)],[f20])).
% 14.13/3.14  thf(f20,plain,(
% 14.13/3.14    ~! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => ((listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1)) => (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1))))),
% 14.13/3.14    inference(rectify,[status(thm)],[f18])).
% 14.13/3.14  thf(f18,negated_conjecture,(
% 14.13/3.14    ~! [X6 : nat,X13 : list] : ((listStar @ X6 @ X13 @ X13) => ((listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ (app @ zero @ X6 @ (rev @ zero @ nil) @ X13)) => (listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ (app @ zero @ X6 @ nil @ X13))))),
% 14.13/3.14    inference(negated_conjecture,[status(cth)],[f17])).
% 14.13/3.14  thf(f17,conjecture,(
% 14.13/3.14    ! [X6 : nat,X13 : list] : ((listStar @ X6 @ X13 @ X13) => ((listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ (app @ zero @ X6 @ (rev @ zero @ nil) @ X13)) => (listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ (app @ zero @ X6 @ nil @ X13))))),
% 14.13/3.14    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',list_rev_invol_step3)).
% 14.13/3.14  thf(f1044,plain,(
% 14.13/3.14    ((listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ (app @ zero @ sK0 @ nil @ sK1)) = $true)),
% 14.13/3.14    inference(trivial_inequality_removal,[status(thm)],[f1041])).
% 14.13/3.14  thf(f1041,plain,(
% 14.13/3.14    ($true != $true) | ((listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ (app @ zero @ sK0 @ nil @ sK1)) = $true)),
% 14.13/3.14    inference(superposition,[status(thm)],[f1028,f490])).
% 14.13/3.14  thf(f490,plain,(
% 14.13/3.14    ($true = (listStar @ sK0 @ (app @ zero @ sK0 @ (rev @ zero @ nil) @ sK1) @ (app @ zero @ sK0 @ nil @ sK1)))),
% 14.13/3.14    inference(forward_demodulation,[status(thm)],[f474,f85])).
% 14.13/3.14  thf(f85,plain,(
% 14.13/3.14    ( ! [X0 : nat] : (((plus @ zero @ X0) = X0)) )),
% 14.13/3.14    inference(cnf_transformation,[status(thm)],[f45])).
% 14.13/3.14  thf(f45,plain,(
% 14.13/3.14    ! [X0 : nat] : ((plus @ zero @ X0) = X0)),
% 14.13/3.14    inference(rectify,[status(thm)],[f12])).
% 14.13/3.14  thf(f12,axiom,(
% 14.13/3.14    ! [X6 : nat] : ((plus @ zero @ X6) = X6)),
% 14.13/3.14    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',ax1)).
% 14.13/3.14  thf(f474,plain,(
% 14.13/3.14    ($true = (listStar @ (plus @ zero @ sK0) @ (app @ zero @ sK0 @ (rev @ zero @ nil) @ sK1) @ (app @ zero @ sK0 @ nil @ sK1)))),
% 14.13/3.14    inference(trivial_inequality_removal,[status(thm)],[f468])).
% 14.13/3.14  thf(f468,plain,(
% 14.13/3.14    ($true = (listStar @ (plus @ zero @ sK0) @ (app @ zero @ sK0 @ (rev @ zero @ nil) @ sK1) @ (app @ zero @ sK0 @ nil @ sK1))) | ($true != $true)),
% 14.13/3.14    inference(superposition,[status(thm)],[f439,f79])).
% 14.13/3.14  thf(f79,plain,(
% 14.13/3.14    ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $true)),
% 14.13/3.14    inference(cnf_transformation,[status(thm)],[f27])).
% 14.13/3.14  thf(f27,plain,(
% 14.13/3.14    ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $true)),
% 14.13/3.14    inference(fool_elimination,[status(thm)],[f26])).
% 14.13/3.14  thf(f26,plain,(
% 14.13/3.14    (listStar @ zero @ (rev @ zero @ nil) @ nil)),
% 14.13/3.14    inference(rectify,[status(thm)],[f14])).
% 14.13/3.14  thf(f14,axiom,(
% 14.13/3.14    (listStar @ zero @ (rev @ zero @ nil) @ nil)),
% 14.13/3.14    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',ax5)).
% 14.13/3.14  thf(f439,plain,(
% 14.13/3.14    ( ! [X2 : list,X0 : nat,X1 : list] : (($true != (listStar @ X0 @ X1 @ X2)) | ($true = (listStar @ (plus @ X0 @ sK0) @ (app @ X0 @ sK0 @ X1 @ sK1) @ (app @ X0 @ sK0 @ X2 @ sK1)))) )),
% 14.13/3.14    inference(trivial_inequality_removal,[status(thm)],[f425])).
% 14.13/3.14  thf(f425,plain,(
% 14.13/3.14    ( ! [X2 : list,X0 : nat,X1 : list] : (($true != (listStar @ X0 @ X1 @ X2)) | ($true = (listStar @ (plus @ X0 @ sK0) @ (app @ X0 @ sK0 @ X1 @ sK1) @ (app @ X0 @ sK0 @ X2 @ sK1))) | ($true != $true)) )),
% 14.13/3.14    inference(superposition,[status(thm)],[f71,f73])).
% 14.13/3.14  thf(f73,plain,(
% 14.13/3.14    ((listStar @ sK0 @ sK1 @ sK1) = $true)),
% 14.13/3.14    inference(cnf_transformation,[status(thm)],[f59])).
% 14.13/3.14  thf(f71,plain,(
% 14.13/3.14    ( ! [X2 : list,X3 : list,X0 : nat,X1 : nat,X4 : list,X5 : list] : (((listStar @ X1 @ X4 @ X5) != $true) | ((listStar @ X0 @ X2 @ X3) != $true) | ($true = (listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5)))) )),
% 14.13/3.14    inference(cnf_transformation,[status(thm)],[f54])).
% 14.13/3.14  thf(f54,plain,(
% 14.13/3.14    ! [X0 : nat,X1 : nat,X2 : list,X3 : list] : (! [X4 : list,X5 : list] : (((listStar @ X1 @ X4 @ X5) != $true) | ($true = (listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5)))) | ((listStar @ X0 @ X2 @ X3) != $true))),
% 14.13/3.14    inference(ennf_transformation,[status(thm)],[f31])).
% 14.13/3.14  thf(f31,plain,(
% 14.13/3.14    ! [X0 : nat,X1 : nat,X2 : list,X3 : list] : (((listStar @ X0 @ X2 @ X3) = $true) => ! [X4 : list,X5 : list] : (((listStar @ X1 @ X4 @ X5) = $true) => ($true = (listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5)))))),
% 14.13/3.14    inference(fool_elimination,[status(thm)],[f30])).
% 14.13/3.14  thf(f30,plain,(
% 14.13/3.14    ! [X0 : nat,X1 : nat,X2 : list,X3 : list] : ((listStar @ X0 @ X2 @ X3) => ! [X4 : list,X5 : list] : ((listStar @ X1 @ X4 @ X5) => (listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5))))),
% 14.13/3.14    inference(rectify,[status(thm)],[f7])).
% 14.13/3.14  thf(f7,axiom,(
% 14.13/3.14    ! [X6 : nat,X10 : nat,X7 : list,X11 : list] : ((listStar @ X6 @ X7 @ X11) => ! [X8 : list,X9 : list] : ((listStar @ X10 @ X8 @ X9) => (listStar @ (plus @ X6 @ X10) @ (app @ X6 @ X10 @ X7 @ X8) @ (app @ X6 @ X10 @ X11 @ X9))))),
% 14.13/3.14    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',app_tp_ax)).
% 14.13/3.14  thf(f1028,plain,(
% 14.13/3.14    ( ! [X0 : list] : (($true != (listStar @ sK0 @ (app @ zero @ sK0 @ (rev @ zero @ nil) @ sK1) @ X0)) | ($true = (listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ X0))) )),
% 14.13/3.14    inference(trivial_inequality_removal,[status(thm)],[f988])).
% 14.13/3.14  thf(f988,plain,(
% 14.13/3.14    ( ! [X0 : list] : (($true != $true) | ($true != (listStar @ sK0 @ (app @ zero @ sK0 @ (rev @ zero @ nil) @ sK1) @ X0)) | ($true = (listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ X0))) )),
% 14.13/3.14    inference(superposition,[status(thm)],[f207,f74])).
% 14.13/3.14  thf(f74,plain,(
% 14.13/3.14    ((listStar @ sK0 @ (rev @ sK0 @ (rev @ sK0 @ sK1)) @ (app @ zero @ sK0 @ (rev @ zero @ nil) @ sK1)) = $true)),
% 14.13/3.14    inference(cnf_transformation,[status(thm)],[f59])).
% 14.13/3.14  thf(f207,plain,(
% 14.13/3.14    ( ! [X2 : list,X3 : list,X0 : nat,X1 : list] : (($true != (listStar @ X0 @ X1 @ X2)) | ((listStar @ X0 @ X2 @ X3) != $true) | ((listStar @ X0 @ X1 @ X3) = $true)) )),
% 14.13/3.14    inference(trivial_inequality_removal,[status(thm)],[f206])).
% 14.13/3.14  thf(f206,plain,(
% 14.13/3.14    ( ! [X2 : list,X3 : list,X0 : nat,X1 : list] : (($true != $true) | ((listStar @ X0 @ X2 @ X3) != $true) | ($true != (listStar @ X0 @ X1 @ X2)) | ((listStar @ X0 @ X1 @ X3) = $true)) )),
% 14.13/3.14    inference(superposition,[status(thm)],[f94,f84])).
% 14.13/3.14  thf(f84,plain,(
% 14.13/3.14    ( ! [X0 : nat] : (($true = (isPer @ list @ (listStar @ X0)))) )),
% 14.13/3.14    inference(cnf_transformation,[status(thm)],[f23])).
% 14.13/3.14  thf(f23,plain,(
% 14.13/3.14    ! [X0 : nat] : ($true = (isPer @ list @ (listStar @ X0)))),
% 14.13/3.14    inference(fool_elimination,[status(thm)],[f22])).
% 14.13/3.14  thf(f22,plain,(
% 14.13/3.14    ! [X0 : nat] : (isPer @ list @ (listStar @ X0))),
% 14.13/3.14    inference(rectify,[status(thm)],[f4])).
% 14.13/3.14  thf(f4,axiom,(
% 14.13/3.14    ! [X5 : nat] : (isPer @ list @ (listStar @ X5))),
% 14.13/3.14    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p','\'listStar\'_is_per')).
% 14.13/3.14  thf(f94,plain,(
% 14.13/3.14    ( ! [X0 : $tType,X1 : X0 > X0 > $o,X6 : X0,X4 : X0,X5 : X0] : (((isPer @ X0 @ X1) != $true) | ($true != (X1 @ X4 @ X5)) | ((X1 @ X5 @ X6) != $true) | ((X1 @ X4 @ X6) = $true)) )),
% 14.13/3.14    inference(cnf_transformation,[status(thm)],[f68])).
% 14.13/3.14  thf(f68,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : (((X1 @ X4 @ X6) = $true) | ($true != (X1 @ X4 @ X5)) | ((X1 @ X5 @ X6) != $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | (($true != (X1 @ (sK4 @ X0 @ X1) @ (sK3 @ X0 @ X1))) & ($true = (X1 @ (sK3 @ X0 @ X1) @ (sK4 @ X0 @ X1)))) | (($true != (X1 @ (sK5 @ X0 @ X1) @ (sK7 @ X0 @ X1))) & ($true = (X1 @ (sK5 @ X0 @ X1) @ (sK6 @ X0 @ X1))) & ($true = (X1 @ (sK6 @ X0 @ X1) @ (sK7 @ X0 @ X1))))))),
% 14.13/3.14    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7])],[f65,f67,f66])).
% 14.13/3.14  thf(f66,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X7 : X0,X8 : X0] : (($true != (X1 @ X8 @ X7)) & ((X1 @ X7 @ X8) = $true)) => (($true != (X1 @ (sK4 @ X0 @ X1) @ (sK3 @ X0 @ X1))) & ($true = (X1 @ (sK3 @ X0 @ X1) @ (sK4 @ X0 @ X1)))))),
% 14.13/3.14    introduced(definition,[],[choice_axiom])).
% 14.13/3.14  thf(f67,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X9 : X0,X10 : X0,X11 : X0] : (((X1 @ X9 @ X11) != $true) & ($true = (X1 @ X9 @ X10)) & ($true = (X1 @ X10 @ X11))) => (($true != (X1 @ (sK5 @ X0 @ X1) @ (sK7 @ X0 @ X1))) & ($true = (X1 @ (sK5 @ X0 @ X1) @ (sK6 @ X0 @ X1))) & ($true = (X1 @ (sK6 @ X0 @ X1) @ (sK7 @ X0 @ X1)))))),
% 14.13/3.14    introduced(definition,[],[choice_axiom])).
% 14.13/3.14  thf(f65,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : (((X1 @ X4 @ X6) = $true) | ($true != (X1 @ X4 @ X5)) | ((X1 @ X5 @ X6) != $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ? [X7 : X0,X8 : X0] : (($true != (X1 @ X8 @ X7)) & ((X1 @ X7 @ X8) = $true)) | ? [X9 : X0,X10 : X0,X11 : X0] : (((X1 @ X9 @ X11) != $true) & ($true = (X1 @ X9 @ X10)) & ($true = (X1 @ X10 @ X11)))))),
% 14.13/3.14    inference(rectify,[status(thm)],[f64])).
% 14.13/3.14  thf(f64,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X5 : X0,X6 : X0] : (($true = (X1 @ X6 @ X5)) | ((X1 @ X5 @ X6) != $true)) & ! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ? [X5 : X0,X6 : X0] : (($true != (X1 @ X6 @ X5)) & ((X1 @ X5 @ X6) = $true)) | ? [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X4) != $true) & ((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X4) = $true))))),
% 14.13/3.14    inference(flattening,[status(thm)],[f63])).
% 14.13/3.14  thf(f63,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X5 : X0,X6 : X0] : (($true = (X1 @ X6 @ X5)) | ((X1 @ X5 @ X6) != $true)) & ! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | (? [X5 : X0,X6 : X0] : (($true != (X1 @ X6 @ X5)) & ((X1 @ X5 @ X6) = $true)) | ? [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X4) != $true) & ((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X4) = $true)))))),
% 14.13/3.14    inference(nnf_transformation,[status(thm)],[f56])).
% 14.13/3.14  thf(f56,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X5 : X0,X6 : X0] : (($true = (X1 @ X6 @ X5)) | ((X1 @ X5 @ X6) != $true)) & ! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 14.13/3.14    inference(flattening,[status(thm)],[f55])).
% 14.13/3.14  thf(f55,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0,X4 : X0] : ((((X1 @ X2 @ X4) = $true) | ((X1 @ X3 @ X4) != $true)) | ((X1 @ X2 @ X3) != $true)) & ! [X5 : X0,X6 : X0] : (($true = (X1 @ X6 @ X5)) | ((X1 @ X5 @ X6) != $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 14.13/3.14    inference(ennf_transformation,[status(thm)],[f33])).
% 14.13/3.14  thf(f33,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) = $true) => (((X1 @ X3 @ X4) = $true) => ((X1 @ X2 @ X4) = $true))) & ! [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) = $true) => ($true = (X1 @ X6 @ X5)))) <=> ((isPer @ X0 @ X1) = $true))),
% 14.13/3.14    inference(fool_elimination,[status(thm)],[f32])).
% 14.13/3.14  thf(f32,plain,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) <=> (! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))) & ! [X5 : X0,X6 : X0] : ((X1 @ X5 @ X6) => (X1 @ X6 @ X5))))),
% 14.13/3.14    inference(rectify,[status(thm)],[f1])).
% 14.13/3.14  thf(f1,axiom,(
% 14.13/3.14    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) <=> (! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))) & ! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2))))),
% 14.13/3.14    file('/export/starexec/sandbox/tmp/tmp.sy7AYzwVlD/DTF2THF_11629.p',is_per)).
% 14.13/3.14  % SZS output end Proof for DTF2THF_11629
% 14.13/3.14  % (12071)------------------------------
% 14.13/3.14  % (12071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.13/3.14  % (12071)Termination reason: Refutation
% 14.13/3.14  
% 14.13/3.14  % (12071)Memory used [KB]: 6396
% 14.13/3.14  % (12071)Time elapsed: 0.103 s
% 14.13/3.14  % (12071)Instructions burned: 327 (million)
% 14.13/3.14  % (12071)------------------------------
% 14.13/3.14  % (12071)------------------------------
% 14.13/3.14  % (11954)Success in time 1.801 s
%------------------------------------------------------------------------------