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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU868^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:31:50 AM UTC 2026

% Result   : Theorem 1.60s 0.52s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   63 (  31 unt;   0 typ;   2 def)
%            Number of atoms       :  460 ( 129 equ;   0 cnn)
%            Maximal formula atoms :    5 (   7 avg)
%            Number of connectives :  844 (  53   ~;  82   |;  43   &; 461   @)
%                                         (   5 <=>;  85  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  174 ( 174   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  25 usr;  10 con; 0-4 aty)
%                                         ( 101  !!;  14  ??;   0 @@+;   0 @@-)
%            Number of variables   :  211 (  20 sgn  54   !;   3   ?; 211   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    a: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    cC: a > $o ).

thf(func_def_2,type,
    vNOT: $o > $o ).

thf(func_def_3,type,
    vIMP: $o > $o > $o ).

thf(func_def_4,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_5,type,
    vAND: $o > $o > $o ).

thf(func_def_6,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_9,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_10,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_11,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_12,type,
    vOR: $o > $o > $o ).

thf(func_def_13,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_14,type,
    vIFF: $o > $o > $o ).

thf(func_def_15,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_16,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_17,type,
    sK0: ( a > $o ) > $o ).

thf(func_def_18,type,
    sK1: a ).

thf(func_def_20,type,
    sK3: a ).

thf(func_def_21,type,
    sK4: a > $o ).

thf(func_def_22,type,
    sK5: a ).

thf(func_def_23,type,
    sK6: a ).

thf(func_def_24,type,
    sK7: a > a ).

thf(func_def_25,type,
    sK8: a > a ).

thf(f1,conjecture,
    ( ! [X0: ( a > $o ) > $o] :
        ( ( ! [X1: a,X2: a > $o] :
              ( ( X0 @ X2 )
             => ( X0
                @ ^ [X3: a] :
                    ( ( X3 = X1 )
                    | ( X2 @ X3 ) ) ) )
          & ( X0
            @ ^ [X1: a] : $false ) )
       => ( X0 @ cC ) )
   => ! [X4: ( a > $o ) > $o] :
        ( ( ! [X5: a > $o] :
              ( ~ ? [X3: a] : ( X5 @ X3 )
             => ( X4 @ X5 ) )
          & ! [X1: a,X7: a > $o,X6: a > $o] :
              ( ( ( X4 @ X6 )
                & ! [X8: a] :
                    ( ( ( X8 = X1 )
                      | ( X6 @ X8 ) )
                  <=> ( X7 @ X8 ) ) )
             => ( X4 @ X7 ) ) )
       => ( X4 @ cC ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM551_pme) ).

thf(f2,negated_conjecture,
    ~ ( ! [X0: ( a > $o ) > $o] :
          ( ( ! [X1: a,X2: a > $o] :
                ( ( X0 @ X2 )
               => ( X0
                  @ ^ [X3: a] :
                      ( ( X3 = X1 )
                      | ( X2 @ X3 ) ) ) )
            & ( X0
              @ ^ [X1: a] : $false ) )
         => ( X0 @ cC ) )
     => ! [X4: ( a > $o ) > $o] :
          ( ( ! [X5: a > $o] :
                ( ~ ? [X3: a] : ( X5 @ X3 )
               => ( X4 @ X5 ) )
            & ! [X1: a,X7: a > $o,X6: a > $o] :
                ( ( ( X4 @ X6 )
                  & ! [X8: a] :
                      ( ( ( X8 = X1 )
                        | ( X6 @ X8 ) )
                    <=> ( X7 @ X8 ) ) )
               => ( X4 @ X7 ) ) )
         => ( X4 @ cC ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    ~ ( ! [X0: ( a > $o ) > $o] :
          ( ( ! [X1: a,X2: a > $o] :
                ( ( X0 @ X2 )
               => ( X0
                  @ ^ [X3: a] :
                      ( ( X3 = X1 )
                      | ( X2 @ X3 ) ) ) )
            & ( X0
              @ ^ [X4: a] : $false ) )
         => ( X0 @ cC ) )
     => ! [X5: ( a > $o ) > $o] :
          ( ( ! [X6: a > $o] :
                ( ~ ? [X7: a] : ( X6 @ X7 )
               => ( X5 @ X6 ) )
            & ! [X8: a,X9: a > $o,X10: a > $o] :
                ( ( ( X5 @ X10 )
                  & ! [X11: a] :
                      ( ( ( X8 = X11 )
                        | ( X10 @ X11 ) )
                    <=> ( X9 @ X11 ) ) )
               => ( X5 @ X9 ) ) )
         => ( X5 @ cC ) ) ),
    inference(rectify,[],[f2]) ).

thf(f4,plain,
    ( ( ~ ( ( !! @ ( ( a > $o ) > $o )
            @ ^ [Y0: ( a > $o ) > $o] :
                ( ( ( Y0
                    @ ^ [Y1: a] : $false )
                  & ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y0 @ Y1 )
                           => ( Y0
                              @ ^ [Y3: a] :
                                  ( ( Y1 @ Y3 )
                                  | ( Y2 = Y3 ) ) ) ) ) ) )
               => ( Y0 @ cC ) ) )
         => ( !! @ ( ( a > $o ) > $o )
            @ ^ [Y0: ( a > $o ) > $o] :
                ( ( ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( !! @ ( a > $o )
                        @ ^ [Y2: a > $o] :
                            ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( ( ( Y1 @ Y4 )
                                          | ( Y3 = Y4 ) )
                                        = ( Y2 @ Y4 ) ) )
                                  & ( Y0 @ Y1 ) )
                               => ( Y0 @ Y2 ) ) ) ) )
                  & ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ~ ( ?? @ a
                            @ ^ [Y2: a] : ( Y1 @ Y2 ) )
                       => ( Y0 @ Y1 ) ) ) )
               => ( Y0 @ cC ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f3]) ).

thf(f5,plain,
    ( ( ~ ( ( !! @ ( ( a > $o ) > $o )
            @ ^ [Y0: ( a > $o ) > $o] :
                ( ( ( Y0
                    @ ^ [Y1: a] : $false )
                  & ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y0 @ Y1 )
                           => ( Y0
                              @ ^ [Y3: a] :
                                  ( ( Y1 @ Y3 )
                                  | ( Y2 = Y3 ) ) ) ) ) ) )
               => ( Y0 @ cC ) ) )
         => ( !! @ ( ( a > $o ) > $o )
            @ ^ [Y0: ( a > $o ) > $o] :
                ( ( ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( !! @ ( a > $o )
                        @ ^ [Y2: a > $o] :
                            ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( ( ( Y1 @ Y4 )
                                          | ( Y3 = Y4 ) )
                                        = ( Y2 @ Y4 ) ) )
                                  & ( Y0 @ Y1 ) )
                               => ( Y0 @ Y2 ) ) ) ) )
                  & ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ~ ( ?? @ a
                            @ ^ [Y2: a] : ( Y1 @ Y2 ) )
                       => ( Y0 @ Y1 ) ) ) )
               => ( Y0 @ cC ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f4]) ).

thf(f8,plain,
    ( $true
    = ( ~ ( ( !! @ ( ( a > $o ) > $o )
            @ ^ [Y0: ( a > $o ) > $o] :
                ( ( ( Y0
                    @ ^ [Y1: a] : $false )
                  & ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y0 @ Y1 )
                           => ( Y0
                              @ ^ [Y3: a] :
                                  ( ( Y1 @ Y3 )
                                  | ( Y2 = Y3 ) ) ) ) ) ) )
               => ( Y0 @ cC ) ) )
         => ( !! @ ( ( a > $o ) > $o )
            @ ^ [Y0: ( a > $o ) > $o] :
                ( ( ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( !! @ ( a > $o )
                        @ ^ [Y2: a > $o] :
                            ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( ( ( Y1 @ Y4 )
                                          | ( Y3 = Y4 ) )
                                        = ( Y2 @ Y4 ) ) )
                                  & ( Y0 @ Y1 ) )
                               => ( Y0 @ Y2 ) ) ) ) )
                  & ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ~ ( ?? @ a @ Y1 )
                       => ( Y0 @ Y1 ) ) ) )
               => ( Y0 @ cC ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f5]) ).

thf(f9,plain,
    ( $false
    = ( ( !! @ ( ( a > $o ) > $o )
        @ ^ [Y0: ( a > $o ) > $o] :
            ( ( ( Y0
                @ ^ [Y1: a] : $false )
              & ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y1 )
                       => ( Y0
                          @ ^ [Y3: a] :
                              ( ( Y1 @ Y3 )
                              | ( Y2 = Y3 ) ) ) ) ) ) )
           => ( Y0 @ cC ) ) )
     => ( !! @ ( ( a > $o ) > $o )
        @ ^ [Y0: ( a > $o ) > $o] :
            ( ( ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( ( Y1 @ Y4 )
                                      | ( Y3 = Y4 ) )
                                    = ( Y2 @ Y4 ) ) )
                              & ( Y0 @ Y1 ) )
                           => ( Y0 @ Y2 ) ) ) ) )
              & ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ~ ( ?? @ a @ Y1 )
                   => ( Y0 @ Y1 ) ) ) )
           => ( Y0 @ cC ) ) ) ) ),
    inference(not_proxy_clausification,[],[f8]) ).

thf(f10,plain,
    ( $false
    = ( !! @ ( ( a > $o ) > $o )
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( ( Y1 @ Y4 )
                                    | ( Y3 = Y4 ) )
                                  = ( Y2 @ Y4 ) ) )
                            & ( Y0 @ Y1 ) )
                         => ( Y0 @ Y2 ) ) ) ) )
            & ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ~ ( ?? @ a @ Y1 )
                 => ( Y0 @ Y1 ) ) ) )
         => ( Y0 @ cC ) ) ) ),
    inference(imp_proxy_clausification,[],[f9]) ).

thf(f11,plain,
    ( $true
    = ( !! @ ( ( a > $o ) > $o )
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( Y0
              @ ^ [Y1: a] : $false )
            & ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y1 )
                     => ( Y0
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                            | ( Y2 = Y3 ) ) ) ) ) ) )
         => ( Y0 @ cC ) ) ) ),
    inference(imp_proxy_clausification,[],[f9]) ).

thf(f14,plain,
    ! [X1: ( a > $o ) > $o] :
      ( ( ^ [Y0: ( a > $o ) > $o] :
            ( ( ( Y0
                @ ^ [Y1: a] : $false )
              & ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y1 )
                       => ( Y0
                          @ ^ [Y3: a] :
                              ( ( Y1 @ Y3 )
                              | ( Y2 = Y3 ) ) ) ) ) ) )
           => ( Y0 @ cC ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f11]) ).

thf(f15,plain,
    ! [X1: ( a > $o ) > $o] :
      ( ( ( ( X1
            @ ^ [Y0: a] : $false )
          & ( !! @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( ( X1 @ Y0 )
                   => ( X1
                      @ ^ [Y2: a] :
                          ( ( Y0 @ Y2 )
                          | ( Y1 = Y2 ) ) ) ) ) ) )
       => ( X1 @ cC ) )
      = $true ),
    inference(beta-eta_normalization,[],[f14]) ).

thf(f17,plain,
    ( ( ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( ( Y1 @ Y4 )
                                    | ( Y3 = Y4 ) )
                                  = ( Y2 @ Y4 ) ) )
                            & ( Y0 @ Y1 ) )
                         => ( Y0 @ Y2 ) ) ) ) )
            & ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ~ ( ?? @ a @ Y1 )
                 => ( Y0 @ Y1 ) ) ) )
         => ( Y0 @ cC ) )
      @ sK0 )
    = $false ),
    inference(sigma_proxy_clausification,[],[f10]) ).

thf(f18,plain,
    ( $false
    = ( ( ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( ( Y0 @ Y3 )
                                | ( Y2 = Y3 ) )
                              = ( Y1 @ Y3 ) ) )
                        & ( sK0 @ Y0 ) )
                     => ( sK0 @ Y1 ) ) ) ) )
        & ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( ~ ( ?? @ a @ Y0 )
             => ( sK0 @ Y0 ) ) ) )
     => ( sK0 @ cC ) ) ),
    inference(beta-eta_normalization,[],[f17]) ).

thf(f19,plain,
    ( $false
    = ( sK0 @ cC ) ),
    inference(imp_proxy_clausification,[],[f18]) ).

thf(f20,plain,
    ( ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ a
                @ ^ [Y2: a] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( ( Y0 @ Y3 )
                              | ( Y2 = Y3 ) )
                            = ( Y1 @ Y3 ) ) )
                      & ( sK0 @ Y0 ) )
                   => ( sK0 @ Y1 ) ) ) ) )
      & ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ~ ( ?? @ a @ Y0 )
           => ( sK0 @ Y0 ) ) ) )
    = $true ),
    inference(imp_proxy_clausification,[],[f18]) ).

thf(f22,plain,
    ( ( ( ( sK0
          @ ^ [Y0: a] : $false )
        & ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( ( sK0 @ Y0 )
                 => ( sK0
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y2 )
                        | ( Y1 = Y2 ) ) ) ) ) ) )
     => $false )
    = $true ),
    inference(superposition,[],[f15,f19]) ).

thf(f24,plain,
    ( ( ~ ( ( sK0
            @ ^ [Y0: a] : $false )
          & ( !! @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK0 @ Y0 )
                   => ( sK0
                      @ ^ [Y2: a] :
                          ( ( Y0 @ Y2 )
                          | ( Y1 = Y2 ) ) ) ) ) ) ) )
    = $true ),
    inference(boolean_simplification,[],[f22]) ).

thf(f27,plain,
    ( ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( ~ ( ?? @ a @ Y0 )
         => ( sK0 @ Y0 ) ) )
    = $true ),
    inference(and_proxy_clausification,[],[f20]) ).

thf(f28,plain,
    ( ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( !! @ a
              @ ^ [Y2: a] :
                  ( ( ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( ( Y0 @ Y3 )
                            | ( Y2 = Y3 ) )
                          = ( Y1 @ Y3 ) ) )
                    & ( sK0 @ Y0 ) )
                 => ( sK0 @ Y1 ) ) ) ) )
    = $true ),
    inference(and_proxy_clausification,[],[f20]) ).

thf(f29,plain,
    ! [X1: a > $o] :
      ( ( ^ [Y0: a > $o] :
            ( ~ ( ?? @ a @ Y0 )
           => ( sK0 @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f27]) ).

thf(f30,plain,
    ! [X1: a > $o] :
      ( ( ~ ( ?? @ a @ X1 )
       => ( sK0 @ X1 ) )
      = $true ),
    inference(beta-eta_normalization,[],[f29]) ).

thf(f41,plain,
    ( ( ( sK0
        @ ^ [Y0: a] : $false )
      & ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( sK0 @ Y0 )
               => ( sK0
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y2 )
                      | ( Y1 = Y2 ) ) ) ) ) ) )
    = $false ),
    inference(not_proxy_clausification,[],[f24]) ).

thf(f42,plain,
    ( ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( sK0 @ Y0 )
               => ( sK0
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y2 )
                      | ( Y1 = Y2 ) ) ) ) ) )
      = $false )
    | ( ( sK0
        @ ^ [Y0: a] : $false )
      = $false ) ),
    inference(and_proxy_clausification,[],[f41]) ).

thf(f44,definition,
    ( spl2_1
  <=> ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( sK0 @ Y0 )
               => ( sK0
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y2 )
                      | ( Y1 = Y2 ) ) ) ) ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

thf(f46,plain,
    ( ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( sK0 @ Y0 )
               => ( sK0
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y2 )
                      | ( Y1 = Y2 ) ) ) ) ) )
      = $false )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f44]) ).

thf(f48,definition,
    ( spl2_2
  <=> ( ( sK0
        @ ^ [Y0: a] : $false )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

thf(f50,plain,
    ( ( ( sK0
        @ ^ [Y0: a] : $false )
      = $false )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f51,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f42,f48,f44]) ).

thf(f52,plain,
    ( ( ( ~ ( ?? @ a
            @ ^ [Y0: a] : $false )
       => $false )
      = $true )
    | ~ spl2_2 ),
    inference(superposition,[],[f30,f50]) ).

thf(f53,plain,
    ( ( ( ~ ~ ( ?? @ a
              @ ^ [Y0: a] : $false ) )
      = $true )
    | ~ spl2_2 ),
    inference(boolean_simplification,[],[f52]) ).

thf(f54,plain,
    ( ( ( ?? @ a
        @ ^ [Y0: a] : $false )
      = $true )
    | ~ spl2_2 ),
    inference(boolean_simplification,[],[f53]) ).

thf(f55,plain,
    ! [X1: a > $o] :
      ( ( ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ a
                @ ^ [Y2: a] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( ( Y0 @ Y3 )
                              | ( Y2 = Y3 ) )
                            = ( Y1 @ Y3 ) ) )
                      & ( sK0 @ Y0 ) )
                   => ( sK0 @ Y1 ) ) ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f28]) ).

thf(f56,plain,
    ! [X1: a > $o] :
      ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( ( X1 @ Y2 )
                          | ( Y1 = Y2 ) )
                        = ( Y0 @ Y2 ) ) )
                  & ( sK0 @ X1 ) )
               => ( sK0 @ Y0 ) ) ) )
      = $true ),
    inference(beta-eta_normalization,[],[f55]) ).

thf(f57,plain,
    ( ( $true
      = ( ^ [Y0: a] : $false
        @ sK3 ) )
    | ~ spl2_2 ),
    inference(sigma_proxy_clausification,[],[f54]) ).

thf(f61,plain,
    ( ( $false = $true )
    | ~ spl2_2 ),
    inference(beta-eta_normalization,[],[f57]) ).

thf(f62,plain,
    ( $false
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f61]) ).

thf(f63,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f62]) ).

thf(f64,plain,
    ( ( $false
      = ( ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( sK0 @ Y0 )
               => ( sK0
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y2 )
                      | ( Y1 = Y2 ) ) ) ) )
        @ sK4 ) )
    | ~ spl2_1 ),
    inference(sigma_proxy_clausification,[],[f46]) ).

thf(f65,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK0 @ sK4 )
           => ( sK0
              @ ^ [Y1: a] :
                  ( ( sK4 @ Y1 )
                  | ( Y0 = Y1 ) ) ) ) ) )
    | ~ spl2_1 ),
    inference(beta-eta_normalization,[],[f64]) ).

thf(f66,plain,
    ( ( $false
      = ( ^ [Y0: a] :
            ( ( sK0 @ sK4 )
           => ( sK0
              @ ^ [Y1: a] :
                  ( ( sK4 @ Y1 )
                  | ( Y0 = Y1 ) ) ) )
        @ sK5 ) )
    | ~ spl2_1 ),
    inference(sigma_proxy_clausification,[],[f65]) ).

thf(f67,plain,
    ( ( $false
      = ( ( sK0 @ sK4 )
       => ( sK0
          @ ^ [Y0: a] :
              ( ( sK4 @ Y0 )
              | ( sK5 = Y0 ) ) ) ) )
    | ~ spl2_1 ),
    inference(beta-eta_normalization,[],[f66]) ).

thf(f68,plain,
    ( ( ( sK0
        @ ^ [Y0: a] :
            ( ( sK4 @ Y0 )
            | ( sK5 = Y0 ) ) )
      = $false )
    | ~ spl2_1 ),
    inference(imp_proxy_clausification,[],[f67]) ).

thf(f69,plain,
    ( ( ( sK0 @ sK4 )
      = $true )
    | ~ spl2_1 ),
    inference(imp_proxy_clausification,[],[f67]) ).

thf(f70,plain,
    ! [X2: a > $o,X1: a > $o] :
      ( $true
      = ( ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( ( X1 @ Y2 )
                          | ( Y1 = Y2 ) )
                        = ( Y0 @ Y2 ) ) )
                  & ( sK0 @ X1 ) )
               => ( sK0 @ Y0 ) ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f56]) ).

thf(f71,plain,
    ! [X2: a > $o,X1: a > $o] :
      ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( ( X1 @ Y1 )
                      | ( Y0 = Y1 ) )
                    = ( X2 @ Y1 ) ) )
              & ( sK0 @ X1 ) )
           => ( sK0 @ X2 ) ) )
      = $true ),
    inference(beta-eta_normalization,[],[f70]) ).

thf(f76,plain,
    ! [X2: a > $o,X3: a,X1: a > $o] :
      ( ( ^ [Y0: a] :
            ( ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( ( X1 @ Y1 )
                      | ( Y0 = Y1 ) )
                    = ( X2 @ Y1 ) ) )
              & ( sK0 @ X1 ) )
           => ( sK0 @ X2 ) )
        @ X3 )
      = $true ),
    inference(pi_proxy_clausification,[],[f71]) ).

thf(f77,plain,
    ! [X2: a > $o,X3: a,X1: a > $o] :
      ( ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( ( X1 @ Y0 )
                  | ( X3 = Y0 ) )
                = ( X2 @ Y0 ) ) )
          & ( sK0 @ X1 ) )
       => ( sK0 @ X2 ) )
      = $true ),
    inference(beta-eta_normalization,[],[f76]) ).

thf(f87,plain,
    ( ! [X0: a,X1: a > $o] :
        ( $true
        = ( ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( ( sK4 @ Y0 )
                    | ( X0 = Y0 ) )
                  = ( X1 @ Y0 ) ) )
            & $true )
         => ( sK0 @ X1 ) ) )
    | ~ spl2_1 ),
    inference(superposition,[],[f77,f69]) ).

thf(f88,plain,
    ( ! [X0: a,X1: a > $o] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( ( sK4 @ Y0 )
                  | ( X0 = Y0 ) )
                = ( X1 @ Y0 ) ) )
         => ( sK0 @ X1 ) )
        = $true )
    | ~ spl2_1 ),
    inference(boolean_simplification,[],[f87]) ).

thf(f141,plain,
    ( ! [X0: a] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( ( sK4 @ Y0 )
                  | ( X0 = Y0 ) )
                = ( ^ [Y1: a] :
                      ( ( sK4 @ Y1 )
                      | ( sK5 = Y1 ) )
                  @ Y0 ) ) )
         => $false )
        = $true )
    | ~ spl2_1 ),
    inference(superposition,[],[f88,f68]) ).

thf(f144,plain,
    ( ! [X0: a] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( ( sK4 @ Y0 )
                  | ( X0 = Y0 ) )
                = ( ( sK4 @ Y0 )
                  | ( sK5 = Y0 ) ) ) )
         => $false )
        = $true )
    | ~ spl2_1 ),
    inference(beta-eta_normalization,[],[f141]) ).

thf(f145,plain,
    ( ! [X0: a] :
        ( ( ~ ( !! @ a
              @ ^ [Y0: a] :
                  ( ( ( sK4 @ Y0 )
                    | ( X0 = Y0 ) )
                  = ( ( sK4 @ Y0 )
                    | ( sK5 = Y0 ) ) ) ) )
        = $true )
    | ~ spl2_1 ),
    inference(boolean_simplification,[],[f144]) ).

thf(f157,plain,
    ( ! [X0: a] :
        ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( ( sK4 @ Y0 )
                | ( X0 = Y0 ) )
              = ( ( sK4 @ Y0 )
                | ( sK5 = Y0 ) ) ) ) )
    | ~ spl2_1 ),
    inference(not_proxy_clausification,[],[f145]) ).

thf(f166,plain,
    ( ! [X0: a] :
        ( ( ^ [Y0: a] :
              ( ( ( sK4 @ Y0 )
                | ( X0 = Y0 ) )
              = ( ( sK4 @ Y0 )
                | ( sK5 = Y0 ) ) )
          @ ( sK8 @ X0 ) )
        = $false )
    | ~ spl2_1 ),
    inference(sigma_proxy_clausification,[],[f157]) ).

thf(f167,plain,
    ( ! [X0: a] :
        ( ( ( ( sK4 @ ( sK8 @ X0 ) )
            | ( X0
              = ( sK8 @ X0 ) ) )
          = ( ( sK4 @ ( sK8 @ X0 ) )
            | ( sK5
              = ( sK8 @ X0 ) ) ) )
        = $false )
    | ~ spl2_1 ),
    inference(beta-eta_normalization,[],[f166]) ).

thf(f168,plain,
    ( ! [X0: a] :
        ( ( ( sK4 @ ( sK8 @ X0 ) )
          | ( sK5
            = ( sK8 @ X0 ) ) )
       != ( ( sK4 @ ( sK8 @ X0 ) )
          | ( X0
            = ( sK8 @ X0 ) ) ) )
    | ~ spl2_1 ),
    inference(iff_proxy_clausification,[],[f167]) ).

thf(f171,plain,
    ( $false
    | ~ spl2_1 ),
    inference(equality_resolution,[],[f168]) ).

thf(f172,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f171]) ).

cnf(s1,plain,
    ( spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f51]) ).

cnf(s2,plain,
    ~ spl2_2,
    inference(sat_conversion,[],[f63]) ).

cnf(s4,plain,
    ~ spl2_1,
    inference(sat_conversion,[],[f172]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s1,s2,s4]) ).

thf(f173,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU868^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n010.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Tue Sep 29 14:41:33 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  Running higher-order theorem proving
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  % (2949841)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.34  % (2949848)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3122780084:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.34  % (2949848)Instruction limit reached! 
% 0.19/0.34  % (2949848)------------------------------
% 0.19/0.34  % (2949848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34  % (2949848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34  % (2949848)CaDiCaL version: 2.1.3
% 0.19/0.34  % (2949848)Termination reason: Instruction limit
% 0.19/0.34  % (2949848)Termination phase: Saturation
% 0.19/0.34  % (2949848)Time elapsed: 0.002 s
% 0.19/0.34  % (2949848)Peak memory usage: 12 MB
% 0.19/0.34  % (2949848)Instructions burned: 4 (million)
% 0.19/0.34  % (2949852)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.34  % (2949852)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.19/0.34  % (2949846)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2468141705:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.34  % (2949847)lrs+10_16_si=on:nwc=1.5:random_seed=1127278648:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.34  % (2949851)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1605677002:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.34  % (2949849)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=197932014:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.19/0.34  % (2949850)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1138947067:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.34  % (2949852)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3562568277:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.34  % (2949854)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=364278538:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.34  % (2949854)Instruction limit reached! 
% 0.19/0.34  % (2949854)------------------------------
% 0.19/0.34  % (2949854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34  % (2949854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34  % (2949854)CaDiCaL version: 2.1.3
% 0.19/0.34  % (2949854)Termination reason: Instruction limit
% 0.19/0.34  % (2949854)Termination phase: Saturation
% 0.19/0.34  % (2949854)Time elapsed: 0.001 s
% 0.19/0.34  % (2949854)Peak memory usage: 12 MB
% 0.19/0.34  % (2949854)Instructions burned: 2 (million)
% 0.19/0.34  % (2949847)Instruction limit reached! 
% 0.19/0.34  % (2949847)------------------------------
% 0.19/0.34  % (2949847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34  % (2949847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34  % (2949847)CaDiCaL version: 2.1.3
% 0.19/0.34  % (2949847)Termination reason: Instruction limit
% 0.19/0.34  % (2949847)Termination phase: Saturation
% 0.19/0.34  % (2949847)Time elapsed: 0.011 s
% 0.19/0.34  % (2949847)Peak memory usage: 12 MB
% 0.19/0.34  % (2949847)Instructions burned: 19 (million)
% 0.19/0.34  % (2949850)Instruction limit reached! 
% 0.19/0.34  % (2949850)------------------------------
% 0.19/0.34  % (2949850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34  % (2949850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34  % (2949850)CaDiCaL version: 2.1.3
% 0.19/0.34  % (2949850)Termination reason: Instruction limit
% 0.19/0.34  % (2949850)Termination phase: Saturation
% 0.19/0.34  % (2949850)Time elapsed: 0.015 s
% 0.19/0.34  % (2949850)Peak memory usage: 12 MB
% 0.19/0.34  % (2949850)Instructions burned: 26 (million)
% 0.19/0.34  % (2949862)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3035137211:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.37  % (2949862)Instruction limit reached! 
% 0.82/0.37  % (2949862)------------------------------
% 0.82/0.37  % (2949862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37  % (2949862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37  % (2949862)CaDiCaL version: 2.1.3
% 0.82/0.37  % (2949862)Termination reason: Instruction limit
% 0.82/0.37  % (2949862)Termination phase: Saturation
% 0.82/0.37  % (2949862)Time elapsed: 0.002 s
% 0.82/0.37  % (2949862)Peak memory usage: 12 MB
% 0.82/0.37  % (2949862)Instructions burned: 5 (million)
% 0.82/0.37  % (2949863)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.37  % (2949866)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.82/0.37  % (2949866)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.37  % (2949863)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1291197101:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.37  % (2949866)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4157823735:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.37  % (2949864)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3674211874:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.37  % (2949863)Instruction limit reached! 
% 0.82/0.37  % (2949863)------------------------------
% 0.82/0.37  % (2949863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37  % (2949863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37  % (2949863)CaDiCaL version: 2.1.3
% 0.82/0.37  % (2949863)Termination reason: Instruction limit
% 0.82/0.37  % (2949863)Termination phase: Saturation
% 0.82/0.37  % (2949863)Time elapsed: 0.004 s
% 0.82/0.37  % (2949863)Peak memory usage: 12 MB
% 0.82/0.37  % (2949863)Instructions burned: 7 (million)
% 0.82/0.37  % (2949866)Instruction limit reached! 
% 0.82/0.37  % (2949866)------------------------------
% 0.82/0.37  % (2949866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37  % (2949866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37  % (2949866)CaDiCaL version: 2.1.3
% 0.82/0.37  % (2949866)Termination reason: Instruction limit
% 0.82/0.37  % (2949866)Termination phase: Saturation
% 0.82/0.37  % (2949866)Time elapsed: 0.008 s
% 0.82/0.37  % (2949866)Peak memory usage: 12 MB
% 0.82/0.37  % (2949866)Instructions burned: 30 (million)
% 0.82/0.37  % (2949851)Instruction limit reached! 
% 0.82/0.37  % (2949851)------------------------------
% 0.82/0.37  % (2949851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37  % (2949851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37  % (2949851)CaDiCaL version: 2.1.3
% 0.82/0.37  % (2949851)Termination reason: Instruction limit
% 0.82/0.37  % (2949851)Termination phase: Saturation
% 0.82/0.37  % (2949851)Time elapsed: 0.041 s
% 0.82/0.37  % (2949851)Peak memory usage: 13 MB
% 0.82/0.37  % (2949851)Instructions burned: 76 (million)
% 0.82/0.37  % (2949864)Instruction limit reached! 
% 0.82/0.37  % (2949864)------------------------------
% 0.82/0.37  % (2949864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37  % (2949864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37  % (2949864)CaDiCaL version: 2.1.3
% 0.82/0.37  % (2949864)Termination reason: Instruction limit
% 0.82/0.37  % (2949864)Termination phase: Saturation
% 0.82/0.37  % (2949864)Time elapsed: 0.008 s
% 0.82/0.37  % (2949864)Peak memory usage: 12 MB
% 0.82/0.37  % (2949864)Instructions burned: 13 (million)
% 0.82/0.37  % (2949849)Refutation not found, incomplete strategy
% 0.82/0.37  % (2949849)------------------------------
% 0.82/0.37  % (2949849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.37  % (2949849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.37  % (2949849)CaDiCaL version: 2.1.3
% 0.82/0.37  % (2949849)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.40  % (2949849)Time elapsed: 0.045 s
% 0.82/0.40  % (2949849)Peak memory usage: 12 MB
% 0.82/0.40  % (2949849)Instructions burned: 82 (million)
% 0.82/0.40  % (2949846)Instruction limit reached! 
% 0.82/0.40  % (2949846)------------------------------
% 0.82/0.40  % (2949846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40  % (2949846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40  % (2949846)CaDiCaL version: 2.1.3
% 0.82/0.40  % (2949846)Termination reason: Instruction limit
% 0.82/0.40  % (2949846)Termination phase: Saturation
% 0.82/0.40  % (2949846)Time elapsed: 0.047 s
% 0.82/0.40  % (2949846)Peak memory usage: 12 MB
% 0.82/0.40  % (2949846)Instructions burned: 87 (million)
% 0.82/0.40  % (2949849)------------------------------
% 0.82/0.40  % (2949849)------------------------------
% 0.82/0.40  % (2949871)lrs+10_1_si=on:cs=on:random_seed=3611889188:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.40  % (2949871)Instruction limit reached! 
% 0.82/0.40  % (2949871)------------------------------
% 0.82/0.40  % (2949871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40  % (2949871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40  % (2949871)CaDiCaL version: 2.1.3
% 0.82/0.40  % (2949871)Termination reason: Instruction limit
% 0.82/0.40  % (2949871)Termination phase: Saturation
% 0.82/0.40  % (2949871)Time elapsed: 0.003 s
% 0.82/0.40  % (2949871)Peak memory usage: 12 MB
% 0.82/0.40  % (2949871)Instructions burned: 11 (million)
% 0.82/0.40  % (2949870)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2057857020:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.40  % (2949872)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.40  % (2949872)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=315423045:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.40  % (2949872)Instruction limit reached! 
% 0.82/0.40  % (2949872)------------------------------
% 0.82/0.40  % (2949872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40  % (2949872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40  % (2949872)CaDiCaL version: 2.1.3
% 0.82/0.40  % (2949872)Termination reason: Instruction limit
% 0.82/0.40  % (2949872)Termination phase: Saturation
% 0.82/0.40  % (2949872)Time elapsed: 0.002 s
% 0.82/0.40  % (2949872)Peak memory usage: 11 MB
% 0.82/0.40  % (2949872)Instructions burned: 3 (million)
% 0.82/0.40  % (2949873)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1461275886:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.40  % (2949877)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2869532686:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.82/0.40  % (2949874)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=802518868:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.82/0.40  % (2949875)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=850134198:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.82/0.40  % (2949877)Instruction limit reached! 
% 0.82/0.40  % (2949877)------------------------------
% 0.82/0.40  % (2949877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40  % (2949877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40  % (2949875)Refutation not found, incomplete strategy
% 0.82/0.40  % (2949875)------------------------------
% 0.82/0.40  % (2949875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40  % (2949877)CaDiCaL version: 2.1.3
% 0.82/0.40  % (2949877)Termination reason: Instruction limit
% 0.82/0.40  % (2949877)Termination phase: Saturation
% 0.82/0.40  % (2949877)Time elapsed: 0.006 s
% 0.82/0.40  % (2949877)Peak memory usage: 12 MB
% 0.82/0.40  % (2949877)Instructions burned: 16 (million)
% 0.82/0.40  % (2949875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40  % (2949875)CaDiCaL version: 2.1.3
% 0.82/0.40  % (2949875)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.43  % (2949875)Time elapsed: 0.003 s
% 0.82/0.43  % (2949875)Peak memory usage: 12 MB
% 0.82/0.43  % (2949875)Instructions burned: 3 (million)
% 0.82/0.43  % (2949875)------------------------------
% 0.82/0.43  % (2949875)------------------------------
% 0.82/0.43  % (2949873)Refutation not found, incomplete strategy
% 0.82/0.43  % (2949873)------------------------------
% 0.82/0.43  % (2949873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43  % (2949873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43  % (2949873)CaDiCaL version: 2.1.3
% 0.82/0.43  % (2949873)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.43  % (2949873)Time elapsed: 0.014 s
% 0.82/0.43  % (2949873)Peak memory usage: 12 MB
% 0.82/0.43  % (2949873)Instructions burned: 22 (million)
% 0.82/0.43  % (2949873)------------------------------
% 0.82/0.43  % (2949873)------------------------------
% 0.82/0.43  % (2949886)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3250947384:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.82/0.43  % (2949881)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=557412731:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.43  % (2949886)Instruction limit reached! 
% 0.82/0.43  % (2949886)------------------------------
% 0.82/0.43  % (2949886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43  % (2949886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43  % (2949886)CaDiCaL version: 2.1.3
% 0.82/0.43  % (2949886)Termination reason: Instruction limit
% 0.82/0.43  % (2949886)Termination phase: Saturation
% 0.82/0.43  % (2949886)Time elapsed: 0.001 s
% 0.82/0.43  % (2949886)Peak memory usage: 11 MB
% 0.82/0.43  % (2949886)Instructions burned: 2 (million)
% 0.82/0.43  % (2949852)Instruction limit reached! 
% 0.82/0.43  % (2949852)------------------------------
% 0.82/0.43  % (2949852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43  % (2949852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43  % (2949852)CaDiCaL version: 2.1.3
% 0.82/0.43  % (2949852)Termination reason: Instruction limit
% 0.82/0.43  % (2949852)Termination phase: Saturation
% 0.82/0.43  % (2949852)Time elapsed: 0.083 s
% 0.82/0.43  % (2949852)Peak memory usage: 12 MB
% 0.82/0.43  % (2949852)Instructions burned: 159 (million)
% 0.82/0.43  % (2949874)Refutation not found, incomplete strategy
% 0.82/0.43  % (2949874)------------------------------
% 0.82/0.43  % (2949874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43  % (2949874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43  % (2949874)CaDiCaL version: 2.1.3
% 0.82/0.43  % (2949874)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.43  % (2949874)Time elapsed: 0.021 s
% 0.82/0.43  % (2949874)Peak memory usage: 12 MB
% 0.82/0.43  % (2949874)Instructions burned: 36 (million)
% 0.82/0.43  % (2949874)------------------------------
% 0.82/0.43  % (2949874)------------------------------
% 0.82/0.43  % (2949885)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2305457508:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.43  % (2949891)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1215164374:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.82/0.43  % (2949887)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1567801258:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.82/0.43  % (2949885)Instruction limit reached! 
% 0.82/0.43  % (2949885)------------------------------
% 0.82/0.43  % (2949885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43  % (2949885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43  % (2949885)CaDiCaL version: 2.1.3
% 0.82/0.43  % (2949885)Termination reason: Instruction limit
% 0.82/0.43  % (2949885)Termination phase: Saturation
% 0.82/0.43  % (2949885)Time elapsed: 0.009 s
% 0.82/0.43  % (2949885)Peak memory usage: 12 MB
% 0.82/0.43  % (2949885)Instructions burned: 15 (million)
% 0.82/0.43  % (2949870)Instruction limit reached! 
% 0.82/0.43  % (2949870)------------------------------
% 0.82/0.43  % (2949870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.49  % (2949892)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.60/0.49  % (2949892)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.60/0.49  % (2949870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.49  % (2949870)CaDiCaL version: 2.1.3
% 1.60/0.49  % (2949870)Termination reason: Instruction limit
% 1.60/0.49  % (2949870)Termination phase: Saturation
% 1.60/0.49  % (2949870)Time elapsed: 0.049 s
% 1.60/0.49  % (2949870)Peak memory usage: 12 MB
% 1.60/0.49  % (2949870)Instructions burned: 86 (million)
% 1.60/0.49  % (2949890)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2414495419:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.60/0.49  % (2949892)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2730200562:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.60/0.49  % (2949887)Instruction limit reached! 
% 1.60/0.49  % (2949887)------------------------------
% 1.60/0.49  % (2949887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.49  % (2949887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.49  % (2949887)CaDiCaL version: 2.1.3
% 1.60/0.49  % (2949887)Termination reason: Instruction limit
% 1.60/0.49  % (2949887)Termination phase: Saturation
% 1.60/0.49  % (2949887)Time elapsed: 0.014 s
% 1.60/0.49  % (2949887)Peak memory usage: 12 MB
% 1.60/0.49  % (2949887)Instructions burned: 26 (million)
% 1.60/0.49  % (2949891)Instruction limit reached! 
% 1.60/0.49  % (2949891)------------------------------
% 1.60/0.49  % (2949891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.49  % (2949891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.49  % (2949891)CaDiCaL version: 2.1.3
% 1.60/0.49  % (2949891)Termination reason: Instruction limit
% 1.60/0.49  % (2949891)Termination phase: Saturation
% 1.60/0.49  % (2949891)Time elapsed: 0.018 s
% 1.60/0.49  % (2949891)Peak memory usage: 12 MB
% 1.60/0.49  % (2949891)Instructions burned: 63 (million)
% 1.60/0.49  % (2949896)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.60/0.49  % (2949892)Instruction limit reached! 
% 1.60/0.49  % (2949892)------------------------------
% 1.60/0.49  % (2949892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.49  % (2949892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.49  % (2949892)CaDiCaL version: 2.1.3
% 1.60/0.49  % (2949892)Termination reason: Instruction limit
% 1.60/0.49  % (2949892)Termination phase: Saturation
% 1.60/0.49  % (2949892)Time elapsed: 0.009 s
% 1.60/0.49  % (2949892)Peak memory usage: 12 MB
% 1.60/0.49  % (2949892)Instructions burned: 14 (million)
% 1.60/0.49  % (2949890)Instruction limit reached! 
% 1.60/0.49  % (2949890)------------------------------
% 1.60/0.49  % (2949890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.49  % (2949890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.49  % (2949890)CaDiCaL version: 2.1.3
% 1.60/0.49  % (2949890)Termination reason: Instruction limit
% 1.60/0.49  % (2949890)Termination phase: Saturation
% 1.60/0.49  % (2949890)Time elapsed: 0.013 s
% 1.60/0.49  % (2949890)Peak memory usage: 11 MB
% 1.60/0.49  % (2949890)Instructions burned: 24 (million)
% 1.60/0.49  % (2949896)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2994581509:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.60/0.49  % (2949898)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=960475521:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.60/0.49  % (2949901)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3319511826:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.60/0.49  % (2949896)Instruction limit reached! 
% 1.60/0.49  % (2949896)------------------------------
% 1.60/0.49  % (2949896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949896)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949896)Termination reason: Instruction limit
% 1.60/0.52  % (2949896)Termination phase: Saturation
% 1.60/0.52  % (2949896)Time elapsed: 0.006 s
% 1.60/0.52  % (2949896)Peak memory usage: 12 MB
% 1.60/0.52  % (2949896)Instructions burned: 9 (million)
% 1.60/0.52  % (2949901)Instruction limit reached! 
% 1.60/0.52  % (2949901)------------------------------
% 1.60/0.52  % (2949901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949901)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949901)Termination reason: Instruction limit
% 1.60/0.52  % (2949901)Termination phase: Saturation
% 1.60/0.52  % (2949901)Time elapsed: 0.005 s
% 1.60/0.52  % (2949901)Peak memory usage: 11 MB
% 1.60/0.52  % (2949901)Instructions burned: 25 (million)
% 1.60/0.52  % (2949900)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=112819485:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.60/0.52  % (2949902)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3816525645:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.60/0.52  % (2949903)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=214684622:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.60/0.52  % (2949900)Instruction limit reached! 
% 1.60/0.52  % (2949900)------------------------------
% 1.60/0.52  % (2949900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949900)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949900)Termination reason: Instruction limit
% 1.60/0.52  % (2949900)Termination phase: Saturation
% 1.60/0.52  % (2949900)Time elapsed: 0.005 s
% 1.60/0.52  % (2949900)Peak memory usage: 12 MB
% 1.60/0.52  % (2949900)Instructions burned: 9 (million)
% 1.60/0.52  % (2949898)Instruction limit reached! 
% 1.60/0.52  % (2949898)------------------------------
% 1.60/0.52  % (2949898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949898)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949898)Termination reason: Instruction limit
% 1.60/0.52  % (2949898)Termination phase: Saturation
% 1.60/0.52  % (2949898)Time elapsed: 0.016 s
% 1.60/0.52  % (2949898)Peak memory usage: 12 MB
% 1.60/0.52  % (2949898)Instructions burned: 32 (million)
% 1.60/0.52  % (2949908)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1770404733:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.60/0.52  % (2949907)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=722178834:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.60/0.52  % (2949902)Instruction limit reached! 
% 1.60/0.52  % (2949902)------------------------------
% 1.60/0.52  % (2949902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949902)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949902)Termination reason: Instruction limit
% 1.60/0.52  % (2949902)Termination phase: Saturation
% 1.60/0.52  % (2949902)Time elapsed: 0.013 s
% 1.60/0.52  % (2949902)Peak memory usage: 12 MB
% 1.60/0.52  % (2949902)Instructions burned: 21 (million)
% 1.60/0.52  % (2949913)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.60/0.52  % (2949912)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1459939916:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.60/0.52  % (2949913)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2430614385:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.60/0.52  % (2949913)Instruction limit reached! 
% 1.60/0.52  % (2949913)------------------------------
% 1.60/0.52  % (2949913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949913)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949913)Termination reason: Instruction limit
% 1.60/0.52  % (2949913)Termination phase: Saturation
% 1.60/0.52  % (2949913)Time elapsed: 0.006 s
% 1.60/0.52  % (2949913)Peak memory usage: 12 MB
% 1.60/0.52  % (2949913)Instructions burned: 12 (million)
% 1.60/0.52  % (2949916)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2668012694:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.60/0.52  % (2949908)Refutation not found, incomplete strategy
% 1.60/0.52  % (2949908)------------------------------
% 1.60/0.52  % (2949908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949908)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949908)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.52  % (2949908)Time elapsed: 0.032 s
% 1.60/0.52  % (2949908)Peak memory usage: 13 MB
% 1.60/0.52  % (2949908)Instructions burned: 119 (million)
% 1.60/0.52  % (2949908)------------------------------
% 1.60/0.52  % (2949908)------------------------------
% 1.60/0.52  % (2949912)Instruction limit reached! 
% 1.60/0.52  % (2949912)------------------------------
% 1.60/0.52  % (2949912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949912)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949912)Termination reason: Instruction limit
% 1.60/0.52  % (2949912)Termination phase: Saturation
% 1.60/0.52  % (2949912)Time elapsed: 0.025 s
% 1.60/0.52  % (2949912)Peak memory usage: 12 MB
% 1.60/0.52  % (2949912)Instructions burned: 42 (million)
% 1.60/0.52  % (2949921)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.60/0.52  % (2949921)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2840562096:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.60/0.52  % (2949919)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2000846707:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.60/0.52  % (2949921)Instruction limit reached! 
% 1.60/0.52  % (2949921)------------------------------
% 1.60/0.52  % (2949921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949921)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949921)Termination reason: Instruction limit
% 1.60/0.52  % (2949921)Termination phase: Saturation
% 1.60/0.52  % (2949921)Time elapsed: 0.002 s
% 1.60/0.52  % (2949921)Peak memory usage: 12 MB
% 1.60/0.52  % (2949921)Instructions burned: 8 (million)
% 1.60/0.52  % (2949922)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4211983248:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.60/0.52  % (2949925)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2562838350:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.60/0.52  % (2949922)Instruction limit reached! 
% 1.60/0.52  % (2949922)------------------------------
% 1.60/0.52  % (2949922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949922)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949922)Termination reason: Instruction limit
% 1.60/0.52  % (2949922)Termination phase: Saturation
% 1.60/0.52  % (2949922)Time elapsed: 0.011 s
% 1.60/0.52  % (2949922)Peak memory usage: 12 MB
% 1.60/0.52  % (2949922)Instructions burned: 24 (million)
% 1.60/0.52  % (2949925)Instruction limit reached! 
% 1.60/0.52  % (2949925)------------------------------
% 1.60/0.52  % (2949925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949925)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949925)Termination reason: Instruction limit
% 1.60/0.52  % (2949925)Termination phase: Saturation
% 1.60/0.52  % (2949925)Time elapsed: 0.011 s
% 1.60/0.52  % (2949925)Peak memory usage: 12 MB
% 1.60/0.52  % (2949925)Instructions burned: 19 (million)
% 1.60/0.52  % (2949907)Instruction limit reached! 
% 1.60/0.52  % (2949907)------------------------------
% 1.60/0.52  % (2949907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949907)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949907)Termination reason: Instruction limit
% 1.60/0.52  % (2949907)Termination phase: Saturation
% 1.60/0.52  % (2949907)Time elapsed: 0.074 s
% 1.60/0.52  % (2949907)Peak memory usage: 13 MB
% 1.60/0.52  % (2949907)Instructions burned: 144 (million)
% 1.60/0.52  % (2949930)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=215478822:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 1.60/0.52  % (2949903)Refutation not found, incomplete strategy
% 1.60/0.52  % (2949903)------------------------------
% 1.60/0.52  % (2949903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949903)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949903)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.52  % (2949903)Time elapsed: 0.098 s
% 1.60/0.52  % (2949903)Peak memory usage: 13 MB
% 1.60/0.52  % (2949903)Instructions burned: 185 (million)
% 1.60/0.52  % (2949928)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1904193482:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.60/0.52  % (2949903)------------------------------
% 1.60/0.52  % (2949903)------------------------------
% 1.60/0.52  % (2949929)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2156284544:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 1.60/0.52  % (2949881)Instruction limit reached! 
% 1.60/0.52  % (2949881)------------------------------
% 1.60/0.52  % (2949881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949881)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949881)Termination reason: Instruction limit
% 1.60/0.52  % (2949881)Termination phase: Saturation
% 1.60/0.52  % (2949881)Time elapsed: 0.163 s
% 1.60/0.52  % (2949881)Peak memory usage: 13 MB
% 1.60/0.52  % (2949881)Instructions burned: 327 (million)
% 1.60/0.52  % (2949930)Instruction limit reached! 
% 1.60/0.52  % (2949930)------------------------------
% 1.60/0.52  % (2949930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949930)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949930)Termination reason: Instruction limit
% 1.60/0.52  % (2949930)Termination phase: Saturation
% 1.60/0.52  % (2949930)Time elapsed: 0.016 s
% 1.60/0.52  % (2949930)Peak memory usage: 12 MB
% 1.60/0.52  % (2949930)Instructions burned: 47 (million)
% 1.60/0.52  % (2949928) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2949841-2949928"...
% 1.60/0.52  % (2949919)Refutation not found, incomplete strategy
% 1.60/0.52  % (2949919)------------------------------
% 1.60/0.52  % (2949919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.52  % (2949919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.52  % (2949919)CaDiCaL version: 2.1.3
% 1.60/0.52  % (2949919)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.52  % (2949919)Time elapsed: 0.064 s
% 1.60/0.52  % (2949919)Peak memory usage: 13 MB
% 1.60/0.52  % (2949919)Instructions burned: 124 (million)
% 1.60/0.52  % (2949919)------------------------------
% 1.60/0.52  % (2949919)------------------------------
% 1.60/0.52  % (2949928)...printing done.
% 1.60/0.52  % (2949928)Refutation found. Thanks to Tanya!
% 1.60/0.52  % SZS status Theorem for theBenchmark
% 1.60/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.53  % (2949928)------------------------------
% 1.60/0.53  % (2949928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.53  % (2949928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.53  % (2949928)CaDiCaL version: 2.1.3
% 1.60/0.53  % (2949928)Termination reason: Refutation
% 1.60/0.53  % (2949928)Time elapsed: 0.016 s
% 1.60/0.53  % (2949928)Peak memory usage: 13 MB
% 1.60/0.53  % (2949928)Instructions burned: 27 (million)
% 1.60/0.53  % (2949841)Success in time 0.3 s
% 1.60/0.53  % Vampire exiting
%------------------------------------------------------------------------------