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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU796^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n020.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 08:33:26 AM UTC 2026

% Result   : Theorem 0.92s 0.39s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   53 (  21 unt;   0 typ;   2 def)
%            Number of atoms       :  335 ( 111 equ;   0 cnn)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :  492 (  42   ~;  43   |;  24   &; 343   @)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  22 usr;   9 con; 0-4 aty)
%                                         (  15  !!;  11  ??;   0 @@+;   0 @@-)
%            Number of variables   :  134 (   0 sgn  78   !;  10   ?; 134   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    in: $i > $i > $o ).

thf(func_def_1,type,
    image1: $i > ( $i > $i ) > $i ).

thf(func_def_2,type,
    image1Equiv: $o ).

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

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

thf(func_def_6,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_7,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_8,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_9,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_10,type,
    vAND: $o > $o > $o ).

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

thf(func_def_12,type,
    db3: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_17,type,
    sK1: $i > $i ).

thf(func_def_19,type,
    vNOT: $o > $o ).

thf(func_def_20,type,
    sK3: $i > $i > ( $i > $i ) > $i ).

thf(func_def_22,type,
    sK5: ( $i > $i ) > $i ).

thf(f1,axiom,
    ( image1Equiv
    = ( ! [X0: $i,X1: $i > $i,X2: $i] :
          ( ( in @ X2
            @ ( image1 @ X0
              @ ^ [X3: $i] : ( X1 @ X3 ) ) )
        <=> ? [X3: $i] :
              ( ( X2
                = ( X1 @ X3 ) )
              & ( in @ X3 @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',image1Equiv) ).

thf(f2,conjecture,
    ( image1Equiv
   => ! [X0: $i,X1: $i > $i,X2: $i] :
        ( ( in @ X2
          @ ( image1 @ X0
            @ ^ [X3: $i] : ( X1 @ X3 ) ) )
       => ? [X3: $i] :
            ( ( X2
              = ( X1 @ X3 ) )
            & ( in @ X3 @ X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',image1E) ).

thf(f3,negated_conjecture,
    ~ ( image1Equiv
     => ! [X0: $i,X1: $i > $i,X2: $i] :
          ( ( in @ X2
            @ ( image1 @ X0
              @ ^ [X3: $i] : ( X1 @ X3 ) ) )
         => ? [X3: $i] :
              ( ( X2
                = ( X1 @ X3 ) )
              & ( in @ X3 @ X0 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

thf(f4,plain,
    ( image1Equiv
    = ( ! [X0: $i,X1: $i > $i,X2: $i] :
          ( ( in @ X2
            @ ( image1 @ X0
              @ ^ [X3: $i] : ( X1 @ X3 ) ) )
        <=> ? [X4: $i] :
              ( ( ( X1 @ X4 )
                = X2 )
              & ( in @ X4 @ X0 ) ) ) ) ),
    inference(rectify,[],[f1]) ).

thf(f5,plain,
    ( image1Equiv
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ ( $i > $i )
          @ ^ [Y1: $i > $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0
                    @ ( image1 @ Y2
                      @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
                  = ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( in @ Y3 @ Y2 )
                        & ( ( Y1 @ Y3 )
                          = Y0 ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f6,plain,
    ~ ( image1Equiv
     => ! [X0: $i,X1: $i > $i,X2: $i] :
          ( ( in @ X2
            @ ( image1 @ X0
              @ ^ [X3: $i] : ( X1 @ X3 ) ) )
         => ? [X4: $i] :
              ( ( ( X1 @ X4 )
                = X2 )
              & ( in @ X4 @ X0 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f7,plain,
    ~ ( ( image1Equiv = $true )
     => ! [X0: $i,X1: $i > $i,X2: $i] :
          ( ( $true
            = ( in @ X2
              @ ( image1 @ X0
                @ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) )
         => ? [X4: $i] :
              ( ( ( X1 @ X4 )
                = X2 )
              & ( ( in @ X4 @ X0 )
                = $true ) ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f8,plain,
    ~ ( ( image1Equiv = $true )
     => ! [X0: $i,X1: $i > $i,X2: $i] :
          ( ( $true
            = ( in @ X2
              @ ( image1 @ X0
                @ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) )
         => ? [X3: $i] :
              ( ( ( X1 @ X3 )
                = X2 )
              & ( ( in @ X3 @ X0 )
                = $true ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f9,plain,
    ( ? [X0: $i,X1: $i > $i,X2: $i] :
        ( ! [X3: $i] :
            ( ( ( X1 @ X3 )
             != X2 )
            | ( ( in @ X3 @ X0 )
             != $true ) )
        & ( $true
          = ( in @ X2
            @ ( image1 @ X0
              @ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) ) )
    & ( image1Equiv = $true ) ),
    inference(ennf_transformation,[],[f8]) ).

thf(f10,plain,
    ( ! [X3: $i] :
        ( ( sK2
         != ( sK1 @ X3 ) )
        | ( $true
         != ( in @ X3 @ sK0 ) ) )
    & ( $true
      = ( in @ sK2
        @ ( image1 @ sK0
          @ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ) )
    & ( image1Equiv = $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f9]) ).

thf(f11,plain,
    ( image1Equiv
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ ( $i > $i )
          @ ^ [Y1: $i > $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0
                    @ ( image1 @ Y2
                      @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
                  = ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( in @ Y3 @ Y2 )
                        & ( ( Y1 @ Y3 )
                          = Y0 ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f5]) ).

thf(f12,plain,
    image1Equiv = $true,
    inference(cnf_transformation,[],[f10]) ).

thf(f13,plain,
    ( $true
    = ( in @ sK2
      @ ( image1 @ sK0
        @ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f14,plain,
    ! [X3: $i] :
      ( ( $true
       != ( in @ X3 @ sK0 ) )
      | ( sK2
       != ( sK1 @ X3 ) ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f17,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ ( $i > $i )
          @ ^ [Y1: $i > $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0
                    @ ( image1 @ Y2
                      @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
                  = ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( in @ Y3 @ Y2 )
                        & ( ( Y1 @ Y3 )
                          = Y0 ) ) ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f11,f12]) ).

thf(f18,plain,
    ( $true
    = ( in @ sK2 @ ( image1 @ sK0 @ sK1 ) ) ),
    inference(beta-eta_normalization,[],[f13]) ).

thf(f19,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ ( $i > $i )
            @ ^ [Y1: $i > $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( in @ Y0
                      @ ( image1 @ Y2
                        @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
                    = ( ?? @ $i
                      @ ^ [Y3: $i] :
                          ( ( in @ Y3 @ Y2 )
                          & ( ( Y1 @ Y3 )
                            = Y0 ) ) ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f17]) ).

thf(f20,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ ( $i > $i )
        @ ^ [Y0: $i > $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ X1 @ ( image1 @ Y1 @ Y0 ) )
                = ( ?? @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y1 )
                      & ( ( Y0 @ Y2 )
                        = X1 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f19]) ).

thf(f21,plain,
    ! [X2: $i > $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i > $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ X1 @ ( image1 @ Y1 @ Y0 ) )
                = ( ?? @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y1 )
                      & ( ( Y0 @ Y2 )
                        = X1 ) ) ) ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f20]) ).

thf(f22,plain,
    ! [X2: $i > $i,X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( in @ X1 @ ( image1 @ Y0 @ X2 ) )
            = ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ Y0 )
                  & ( ( X2 @ Y1 )
                    = X1 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f21]) ).

thf(f23,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( in @ X1 @ ( image1 @ Y0 @ X2 ) )
            = ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ Y0 )
                  & ( ( X2 @ Y1 )
                    = X1 ) ) ) )
        @ X3 ) ),
    inference(pi_proxy_clausification,[],[f22]) ).

thf(f24,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( $true
      = ( ( in @ X1 @ ( image1 @ X3 @ X2 ) )
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ X3 )
              & ( ( X2 @ Y0 )
                = X1 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f23]) ).

thf(f25,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( ( in @ X1 @ ( image1 @ X3 @ X2 ) )
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ X3 )
            & ( ( X2 @ Y0 )
              = X1 ) ) ) ),
    inference(iff_proxy_clausification,[],[f24]) ).

thf(f27,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( ( $false
        = ( in @ X1 @ ( image1 @ X3 @ X2 ) ) )
      | ( $true
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ X3 )
              & ( ( X2 @ Y0 )
                = X1 ) ) ) ) ),
    inference(iff_proxy_clausification,[],[f25]) ).

thf(f28,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( ( $false
        = ( in @ X1 @ ( image1 @ X3 @ X2 ) ) )
      | ( $true
        = ( ^ [Y0: $i] :
              ( ( in @ Y0 @ X3 )
              & ( ( X2 @ Y0 )
                = X1 ) )
          @ ( sK3 @ X3 @ X1 @ X2 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f27]) ).

thf(f29,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( ( $false
        = ( in @ X1 @ ( image1 @ X3 @ X2 ) ) )
      | ( $true
        = ( ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X3 )
          & ( ( X2 @ ( sK3 @ X3 @ X1 @ X2 ) )
            = X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f28]) ).

thf(f30,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( ( $false
        = ( in @ X1 @ ( image1 @ X3 @ X2 ) ) )
      | ( $true
        = ( ( X2 @ ( sK3 @ X3 @ X1 @ X2 ) )
          = X1 ) ) ),
    inference(and_proxy_clausification,[],[f29]) ).

thf(f31,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( ( $true
        = ( in @ ( sK3 @ X3 @ X1 @ X2 ) @ X3 ) )
      | ( $false
        = ( in @ X1 @ ( image1 @ X3 @ X2 ) ) ) ),
    inference(and_proxy_clausification,[],[f29]) ).

thf(f32,plain,
    ! [X2: $i > $i,X3: $i,X1: $i] :
      ( ( ( X2 @ ( sK3 @ X3 @ X1 @ X2 ) )
        = X1 )
      | ( $false
        = ( in @ X1 @ ( image1 @ X3 @ X2 ) ) ) ),
    inference(equality_proxy_clausification,[],[f30]) ).

thf(f406,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( $true != $true )
      | ( sK2
       != ( sK1 @ ( sK3 @ sK0 @ X0 @ X1 ) ) )
      | ( $false
        = ( in @ X0 @ ( image1 @ sK0 @ X1 ) ) ) ),
    inference(constrained_superposition,[],[f14,f31]) ).

thf(f419,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( sK2
       != ( sK1 @ ( sK3 @ sK0 @ X0 @ X1 ) ) )
      | ( $false
        = ( in @ X0 @ ( image1 @ sK0 @ X1 ) ) ) ),
    inference(trivial_inequality_removal,[],[f406]) ).

thf(f452,plain,
    ! [X2: $i > $i,X3: $i,X0: $i,X1: $i] :
      ( ( sK2 != X0 )
      | ( $false
        = ( in @ X1 @ ( image1 @ sK0 @ X2 ) ) )
      | ( $false
        = ( in @ X0
          @ ( image1 @ X3
            @ ^ [Y0: $i] :
                ( sK1
                @ ( ^ [Y1: $i] : Y1
                  @ Y0 ) ) ) ) )
      | ( sK0 != X3 )
      | ( X0 != X1 )
      | ( sK1 != X2 ) ),
    inference(constrained_superposition,[],[f419,f32]) ).

thf(f455,plain,
    ! [X2: $i > $i,X3: $i,X0: $i,X1: $i] :
      ( ( sK1 != X2 )
      | ( $false
        = ( in @ X1 @ ( image1 @ sK0 @ X2 ) ) )
      | ( $false
        = ( in @ X0 @ ( image1 @ X3 @ sK1 ) ) )
      | ( sK0 != X3 )
      | ( sK2 != X0 )
      | ( X0 != X1 ) ),
    inference(beta-eta_normalization,[],[f452]) ).

thf(f746,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( sK2 != X1 )
      | ( $false
        = ( in @ X1 @ ( image1 @ X2 @ sK1 ) ) )
      | ( sK0 != X2 )
      | ( $false
        = ( in @ X0 @ ( image1 @ sK0 @ sK1 ) ) )
      | ( X0 != X1 ) ),
    inference(equality_resolution,[],[f455]) ).

thf(f748,plain,
    ! [X0: $i,X1: $i] :
      ( ( $false
        = ( in @ sK2 @ ( image1 @ X0 @ sK1 ) ) )
      | ( sK0 != X0 )
      | ( $false
        = ( in @ X1 @ ( image1 @ sK0 @ sK1 ) ) )
      | ( sK2 != X1 ) ),
    inference(equality_resolution,[],[f746]) ).

thf(f750,definition,
    ( spl4_18
  <=> ! [X1: $i] :
        ( ( $false
          = ( in @ X1 @ ( image1 @ sK0 @ sK1 ) ) )
        | ( sK2 != X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).

thf(f751,plain,
    ( ! [X1: $i] :
        ( ( sK2 != X1 )
        | ( $false
          = ( in @ X1 @ ( image1 @ sK0 @ sK1 ) ) ) )
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f750]) ).

thf(f753,definition,
    ( spl4_19
  <=> ! [X0: $i] :
        ( ( $false
          = ( in @ sK2 @ ( image1 @ X0 @ sK1 ) ) )
        | ( sK0 != X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).

thf(f754,plain,
    ( ! [X0: $i] :
        ( ( sK0 != X0 )
        | ( $false
          = ( in @ sK2 @ ( image1 @ X0 @ sK1 ) ) ) )
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f753]) ).

thf(f755,plain,
    ( spl4_18
    | spl4_19 ),
    inference(avatar_split_clause,[],[f748,f753,f750]) ).

thf(f757,plain,
    ( ( $false
      = ( in @ sK2 @ ( image1 @ sK0 @ sK1 ) ) )
    | ~ spl4_18 ),
    inference(equality_resolution,[],[f751]) ).

thf(f761,plain,
    ( ( $true = $false )
    | ~ spl4_18 ),
    inference(constrained_superposition,[],[f757,f18]) ).

thf(f796,plain,
    ( $false
    | ~ spl4_18 ),
    inference(trivial_inequality_removal,[],[f761]) ).

thf(f797,plain,
    ~ spl4_18,
    inference(avatar_contradiction_clause,[],[f796]) ).

thf(f800,plain,
    ( ( $false
      = ( in @ sK2 @ ( image1 @ sK0 @ sK1 ) ) )
    | ~ spl4_19 ),
    inference(equality_resolution,[],[f754]) ).

thf(f804,plain,
    ( ( $true = $false )
    | ~ spl4_19 ),
    inference(constrained_superposition,[],[f800,f18]) ).

thf(f839,plain,
    ( $false
    | ~ spl4_19 ),
    inference(trivial_inequality_removal,[],[f804]) ).

thf(f840,plain,
    ~ spl4_19,
    inference(avatar_contradiction_clause,[],[f839]) ).

cnf(s43,plain,
    ( spl4_18
    | spl4_19 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s45,plain,
    ~ spl4_18,
    inference(sat_conversion,[],[f797]) ).

cnf(s47,plain,
    ~ spl4_19,
    inference(sat_conversion,[],[f840]) ).

cnf(s48,plain,
    $false,
    inference(rat,[],[s43,s47,s45]) ).

thf(f842,plain,
    $false,
    inference(avatar_sat_refutation,[],[s48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU796^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n020.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 14:32:20 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/0.39  % (1131661)Will run a generic schedule for satisfiability detection.
% 0.92/0.39  % (1131667)% WARNING: option uhcvi not known.
% 0.92/0.39  % (1131667)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1083058620:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.92/0.39  % (1131667)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.92/0.39  % (1131667)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.92/0.39  % (1131666)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4190257983_2999 on theBenchmark for (2999ds/0Mi)
% 0.92/0.39  % (1131668)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1506795137:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.92/0.39  % (1131669)dis+10_1_sil=32000:sp=arity:random_seed=608450721:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.92/0.39  % (1131670)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3158019128:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.92/0.39  % (1131672)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=279436178:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.92/0.39  % (1131671)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1798537308:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.92/0.39  % Exception at run slice level
% 0.92/0.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.92/0.39  % (1131670)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.92/0.39  % (1131680)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3725467930:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.92/0.39  % Exception at run slice level
% 0.92/0.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.92/0.39  % (1131682)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2122062053:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.92/0.39  % (1131669)Instruction limit reached! 
% 0.92/0.39  % (1131669)------------------------------
% 0.92/0.39  % (1131669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39  % (1131669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39  % (1131669)CaDiCaL version: 2.1.3
% 0.92/0.39  % (1131669)Termination reason: Instruction limit
% 0.92/0.39  % (1131669)Termination phase: Saturation
% 0.92/0.39  % (1131669)Time elapsed: 0.053 s
% 0.92/0.39  % (1131669)Peak memory usage: 12 MB
% 0.92/0.39  % (1131669)Instructions burned: 104 (million)
% 0.92/0.39  % (1131670)Instruction limit reached! 
% 0.92/0.39  % (1131670)------------------------------
% 0.92/0.39  % (1131670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39  % (1131670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39  % (1131670)CaDiCaL version: 2.1.3
% 0.92/0.39  % (1131670)Termination reason: Instruction limit
% 0.92/0.39  % (1131670)Termination phase: Saturation
% 0.92/0.39  % (1131670)Time elapsed: 0.060 s
% 0.92/0.39  % (1131670)Peak memory usage: 12 MB
% 0.92/0.39  % (1131670)Instructions burned: 117 (million)
% 0.92/0.39  % (1131671)Instruction limit reached! 
% 0.92/0.39  % (1131671)------------------------------
% 0.92/0.39  % (1131671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39  % (1131671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39  % (1131671)CaDiCaL version: 2.1.3
% 0.92/0.39  % (1131671)Termination reason: Instruction limit
% 0.92/0.39  % (1131671)Termination phase: Saturation
% 0.92/0.39  % (1131671)Time elapsed: 0.069 s
% 0.92/0.39  % (1131671)Peak memory usage: 12 MB
% 0.92/0.39  % (1131671)Instructions burned: 137 (million)
% 0.92/0.39  % (1131684)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1437875196:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.92/0.39  % (1131684)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.92/0.39  % (1131684)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.92/0.39  % (1131685)ott-21_1_sil=16000:fs=off:random_seed=2186497178:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.92/0.39  % (1131672)Instruction limit reached! 
% 0.92/0.39  % (1131672)------------------------------
% 0.92/0.39  % (1131672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39  % (1131672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39  % (1131672)CaDiCaL version: 2.1.3
% 0.92/0.39  % (1131672)Termination reason: Instruction limit
% 0.92/0.39  % (1131672)Termination phase: Saturation
% 0.92/0.39  % (1131672)Time elapsed: 0.080 s
% 0.92/0.39  % (1131672)Peak memory usage: 13 MB
% 0.92/0.39  % (1131672)Instructions burned: 161 (million)
% 0.92/0.39  % (1131686)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1390148415:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.92/0.39  % (1131689)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1640816825:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.92/0.39  % Exception at run slice level
% 0.92/0.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.92/0.39  % (1131682)Instruction limit reached! 
% 0.92/0.39  % (1131682)------------------------------
% 0.92/0.39  % (1131682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39  % (1131682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39  % (1131682)CaDiCaL version: 2.1.3
% 0.92/0.39  % (1131682)Termination reason: Instruction limit
% 0.92/0.39  % (1131682)Termination phase: Saturation
% 0.92/0.39  % (1131682)Time elapsed: 0.067 s
% 0.92/0.39  % (1131682)Peak memory usage: 12 MB
% 0.92/0.39  % (1131682)Instructions burned: 133 (million)
% 0.92/0.39  % (1131684) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1131661-1131684"...
% 0.92/0.39  % (1131692)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3532925597:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.92/0.39  % (1131684)...printing done.
% 0.92/0.39  % (1131684)Refutation found. Thanks to Tanya!
% 0.92/0.39  % SZS status Theorem for theBenchmark
% 0.92/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.92/0.39  % (1131684)------------------------------
% 0.92/0.39  % (1131684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39  % (1131684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39  % (1131684)CaDiCaL version: 2.1.3
% 0.92/0.39  % (1131684)Termination reason: Refutation
% 0.92/0.39  % (1131684)Time elapsed: 0.049 s
% 0.92/0.39  % (1131684)Peak memory usage: 13 MB
% 0.92/0.39  % (1131684)Instructions burned: 85 (million)
% 0.92/0.39  % (1131661)Success in time 0.158 s
% 0.92/0.39  % Vampire exiting
%------------------------------------------------------------------------------