↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM814^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 08:19:35 AM UTC 2026

% Result   : Theorem 0.97s 0.38s
% Output   : Refutation 0.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   54 (  33 unt;   0 typ;   0 def)
%            Number of atoms       :  259 ( 116 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  390 (  37   ~;  19   |;  23   &; 239   @)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  18 usr;   6 con; 0-4 aty)
%                                         (  33  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  116 (  58   ^;  54   !;   4   ?; 116   :)

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

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

thf(func_def_2,type,
    cEVEN1: $i > $o ).

thf(func_def_3,type,
    cIND: $o ).

thf(func_def_4,type,
    cODD1: $i > $o ).

thf(func_def_5,type,
    cPEANO1: $o ).

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

thf(func_def_8,type,
    vIMP: $o > $o > $o ).

thf(func_def_9,type,
    vAND: $o > $o > $o ).

thf(func_def_10,type,
    db0: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_12,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_13,type,
    vNOT: $o > $o ).

thf(func_def_14,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

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

thf(func_def_18,type,
    sK1: ( $i > $o ) > $i ).

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

thf(f1,axiom,
    ( cEVEN1
    = ( ^ [X0: $i] :
        ! [X1: $i > $o] :
          ( ( ! [X2: $i] :
                ( ( X1 @ X2 )
               => ( X1 @ ( cS @ ( cS @ X2 ) ) ) )
            & ( X1 @ c0 ) )
         => ( X1 @ X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEVEN1_def) ).

thf(f3,axiom,
    ( cODD1
    = ( ^ [X0: $i] :
          ~ ( cEVEN1 @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cODD1_def) ).

thf(f4,axiom,
    ( ( cPEANO1 = cIND )
    & ! [X1: $i,X2: $i] :
        ( ( ( cS @ X1 )
          = ( cS @ X2 ) )
       => ( X1 = X2 ) )
    & ! [X0: $i] :
        ( ( cS @ X0 )
       != c0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPEANO1_def) ).

thf(f5,conjecture,
    ( cPEANO1
   => ? [X0: $i] : ( cODD1 @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM404) ).

thf(f6,negated_conjecture,
    ~ ( cPEANO1
     => ? [X0: $i] : ( cODD1 @ X0 ) ),
    inference(negated_conjecture,[status(cth)],[f5]) ).

thf(f7,plain,
    ( cEVEN1
    = ( ^ [X0: $i] :
        ! [X1: $i > $o] :
          ( ( ! [X2: $i] :
                ( ( X1 @ X2 )
               => ( X1 @ ( cS @ ( cS @ X2 ) ) ) )
            & ( X1 @ c0 ) )
         => ( X1 @ X0 ) ) ) ),
    inference(rectify,[],[f1]) ).

thf(f8,plain,
    ( cEVEN1
    = ( ^ [Y0: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( ( ( Y1 @ c0 )
                & ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( Y1 @ Y2 )
                     => ( Y1 @ ( cS @ ( cS @ Y2 ) ) ) ) ) )
             => ( Y1 @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f7]) ).

thf(f11,plain,
    ( cODD1
    = ( ^ [X0: $i] :
          ~ ( cEVEN1 @ X0 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f12,plain,
    ( cODD1
    = ( ^ [Y0: $i] :
          ~ ( cEVEN1 @ Y0 ) ) ),
    inference(fool_elimination,[],[f11]) ).

thf(f13,plain,
    ( ( cPEANO1 = cIND )
    & ! [X0: $i,X1: $i] :
        ( ( ( cS @ X1 )
          = ( cS @ X0 ) )
       => ( X0 = X1 ) )
    & ! [X2: $i] :
        ( c0
       != ( cS @ X2 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f14,plain,
    ( cPEANO1
    = ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( c0
           != ( cS @ Y0 ) ) )
      & ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( cS @ Y0 )
                  = ( cS @ Y1 ) )
               => ( Y1 = Y0 ) ) ) )
      & cIND ) ),
    inference(fool_elimination,[],[f13]) ).

thf(f15,plain,
    ~ ( cPEANO1
     => ? [X0: $i] : ( cODD1 @ X0 ) ),
    inference(rectify,[],[f6]) ).

thf(f16,plain,
    ~ ( ( cPEANO1 = $true )
     => ? [X0: $i] :
          ( ( cODD1 @ X0 )
          = $true ) ),
    inference(fool_elimination,[],[f15]) ).

thf(f17,plain,
    ( ! [X0: $i] :
        ( ( cODD1 @ X0 )
       != $true )
    & ( cPEANO1 = $true ) ),
    inference(ennf_transformation,[],[f16]) ).

thf(f18,plain,
    ( cEVEN1
    = ( ^ [Y0: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( ( ( Y1 @ c0 )
                & ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( Y1 @ Y2 )
                     => ( Y1 @ ( cS @ ( cS @ Y2 ) ) ) ) ) )
             => ( Y1 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f20,plain,
    ( cODD1
    = ( ^ [Y0: $i] :
          ~ ( cEVEN1 @ Y0 ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f21,plain,
    ( cPEANO1
    = ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( c0
           != ( cS @ Y0 ) ) )
      & ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( cS @ Y0 )
                  = ( cS @ Y1 ) )
               => ( Y1 = Y0 ) ) ) )
      & cIND ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f22,plain,
    cPEANO1 = $true,
    inference(cnf_transformation,[],[f17]) ).

thf(f23,plain,
    ! [X0: $i] :
      ( ( cODD1 @ X0 )
     != $true ),
    inference(cnf_transformation,[],[f17]) ).

thf(f26,plain,
    ( cODD1
    = ( ^ [Y0: $i] :
          ~ ( ^ [Y1: $i] :
                ( !! @ ( $i > $o )
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y2 @ c0 )
                      & ( !! @ $i
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( Y2 @ ( cS @ ( cS @ Y3 ) ) ) ) ) )
                   => ( Y2 @ Y1 ) ) )
            @ Y0 ) ) ),
    inference(definition_unfolding,[],[f20,f18]) ).

thf(f27,plain,
    ( ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( c0
           != ( cS @ Y0 ) ) )
      & ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( cS @ Y0 )
                  = ( cS @ Y1 ) )
               => ( Y1 = Y0 ) ) ) )
      & cIND )
    = $true ),
    inference(definition_unfolding,[],[f21,f22]) ).

thf(f28,plain,
    ! [X0: $i] :
      ( $true
     != ( ^ [Y0: $i] :
            ~ ( ^ [Y1: $i] :
                  ( !! @ ( $i > $o )
                  @ ^ [Y2: $i > $o] :
                      ( ( ( Y2 @ c0 )
                        & ( !! @ $i
                          @ ^ [Y3: $i] :
                              ( ( Y2 @ Y3 )
                             => ( Y2 @ ( cS @ ( cS @ Y3 ) ) ) ) ) )
                     => ( Y2 @ Y1 ) ) )
              @ Y0 )
        @ X0 ) ),
    inference(definition_unfolding,[],[f23,f26]) ).

thf(f29,plain,
    ! [X0: $i] :
      ( $true
     != ( ~ ( !! @ ( $i > $o )
            @ ^ [Y0: $i > $o] :
                ( ( ( Y0 @ c0 )
                  & ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ( Y0 @ Y1 )
                       => ( Y0 @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
               => ( Y0 @ X0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f28]) ).

thf(f30,plain,
    ! [X0: $i] :
      ( $true
      = ( !! @ ( $i > $o )
        @ ^ [Y0: $i > $o] :
            ( ( ( Y0 @ c0 )
              & ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0 @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
           => ( Y0 @ X0 ) ) ) ),
    inference(not_proxy_clausification,[],[f29]) ).

thf(f31,plain,
    ! [X0: $i,X1: $i > $o] :
      ( $true
      = ( ^ [Y0: $i > $o] :
            ( ( ( Y0 @ c0 )
              & ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0 @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
           => ( Y0 @ X0 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f30]) ).

thf(f32,plain,
    ! [X0: $i,X1: $i > $o] :
      ( $true
      = ( ( ( X1 @ c0 )
          & ( !! @ $i
            @ ^ [Y0: $i] :
                ( ( X1 @ Y0 )
               => ( X1 @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
       => ( X1 @ X0 ) ) ),
    inference(beta-eta_normalization,[],[f31]) ).

thf(f33,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( $false
        = ( ( X1 @ c0 )
          & ( !! @ $i
            @ ^ [Y0: $i] :
                ( ( X1 @ Y0 )
               => ( X1 @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
      | ( ( X1 @ X0 )
        = $true ) ),
    inference(imp_proxy_clausification,[],[f32]) ).

thf(f34,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( $false
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( X1 @ Y0 )
             => ( X1 @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
      | ( ( X1 @ X0 )
        = $true )
      | ( ( X1 @ c0 )
        = $false ) ),
    inference(and_proxy_clausification,[],[f33]) ).

thf(f35,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ( X1 @ Y0 )
             => ( X1 @ ( cS @ ( cS @ Y0 ) ) ) )
          @ ( sK0 @ X1 ) ) )
      | ( ( X1 @ X0 )
        = $true )
      | ( ( X1 @ c0 )
        = $false ) ),
    inference(sigma_proxy_clausification,[],[f34]) ).

thf(f36,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( $false
        = ( ( X1 @ ( sK0 @ X1 ) )
         => ( X1 @ ( cS @ ( cS @ ( sK0 @ X1 ) ) ) ) ) )
      | ( ( X1 @ X0 )
        = $true )
      | ( ( X1 @ c0 )
        = $false ) ),
    inference(beta-eta_normalization,[],[f35]) ).

thf(f37,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( $false
        = ( X1 @ ( cS @ ( cS @ ( sK0 @ X1 ) ) ) ) )
      | ( ( X1 @ X0 )
        = $true )
      | ( ( X1 @ c0 )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f36]) ).

thf(f40,plain,
    ( ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( c0
           != ( cS @ Y0 ) ) )
      & ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( cS @ Y0 )
                  = ( cS @ Y1 ) )
               => ( Y1 = Y0 ) ) ) ) )
    = $true ),
    inference(and_proxy_clausification,[],[f27]) ).

thf(f41,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( ( cS @ Y0 )
                = ( cS @ Y1 ) )
             => ( Y1 = Y0 ) ) ) )
    = $true ),
    inference(and_proxy_clausification,[],[f40]) ).

thf(f42,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( c0
         != ( cS @ Y0 ) ) )
    = $true ),
    inference(and_proxy_clausification,[],[f40]) ).

thf(f43,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( c0
           != ( cS @ Y0 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f42]) ).

thf(f44,plain,
    ! [X1: $i] :
      ( $true
      = ( c0
       != ( cS @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f43]) ).

thf(f45,plain,
    ! [X1: $i] :
      ( $false
      = ( c0
        = ( cS @ X1 ) ) ),
    inference(not_proxy_clausification,[],[f44]) ).

thf(f46,plain,
    ! [X1: $i] :
      ( c0
     != ( cS @ X1 ) ),
    inference(equality_proxy_clausification,[],[f45]) ).

thf(f47,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( cS @ Y0 )
                  = ( cS @ Y1 ) )
               => ( Y1 = Y0 ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f41]) ).

thf(f48,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( ( cS @ X1 )
              = ( cS @ Y0 ) )
           => ( Y0 = X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f47]) ).

thf(f49,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( ( cS @ X1 )
              = ( cS @ Y0 ) )
           => ( Y0 = X1 ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f48]) ).

thf(f50,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ( ( cS @ X1 )
          = ( cS @ X2 ) )
       => ( X2 = X1 ) ) ),
    inference(beta-eta_normalization,[],[f49]) ).

thf(f51,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( ( cS @ X1 )
          = ( cS @ X2 ) ) )
      | ( $true
        = ( X2 = X1 ) ) ),
    inference(imp_proxy_clausification,[],[f50]) ).

thf(f52,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( cS @ X2 )
       != ( cS @ X1 ) )
      | ( $true
        = ( X2 = X1 ) ) ),
    inference(equality_proxy_clausification,[],[f51]) ).

thf(f53,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( cS @ X2 )
       != ( cS @ X1 ) )
      | ( X1 = X2 ) ),
    inference(equality_proxy_clausification,[],[f52]) ).

thf(f175,plain,
    ! [X0: $i] :
      ( ( ( cS
          @ ( cS
            @ ( sK0
              @ ^ [Y0: $i] : ( Y0 != X0 ) ) ) )
        = X0 )
      | ( $false
        = ( ^ [Y0: $i] : ( Y0 != X0 )
          @ c0 ) ) ),
    inference(leibniz_equality_elimination,[],[f37]) ).

thf(f265,plain,
    ! [X0: $i] :
      ( ( ( cS
          @ ( cS
            @ ( sK0
              @ ^ [Y0: $i] : ( Y0 != X0 ) ) ) )
        = X0 )
      | ( $false
        = ( c0 != X0 ) ) ),
    inference(beta-eta_normalization,[],[f175]) ).

thf(f266,plain,
    ! [X0: $i] :
      ( ( ( cS
          @ ( cS
            @ ( sK0
              @ ^ [Y0: $i] : ( Y0 != X0 ) ) ) )
        = X0 )
      | ( $true
        = ( c0 = X0 ) ) ),
    inference(not_proxy_clausification,[],[f265]) ).

thf(f267,plain,
    ! [X0: $i] :
      ( ( ( cS
          @ ( cS
            @ ( sK0
              @ ^ [Y0: $i] : ( Y0 != X0 ) ) ) )
        = X0 )
      | ( c0 = X0 ) ),
    inference(equality_proxy_clausification,[],[f266]) ).

thf(f729,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cS @ X1 )
       != X0 )
      | ( ( cS
          @ ( sK0
            @ ^ [Y0: $i] : ( Y0 != X0 ) ) )
        = X1 )
      | ( c0 = X0 ) ),
    inference(constrained_superposition,[],[f53,f267]) ).

thf(f2133,plain,
    ! [X0: $i] :
      ( ( ( cS
          @ ( sK0
            @ ^ [Y0: $i] :
                ( Y0
               != ( cS @ X0 ) ) ) )
        = X0 )
      | ( c0
        = ( cS @ X0 ) ) ),
    inference(equality_resolution,[],[f729]) ).

thf(f2136,plain,
    ! [X0: $i] :
      ( ( cS
        @ ( sK0
          @ ^ [Y0: $i] :
              ( Y0
             != ( cS @ X0 ) ) ) )
      = X0 ),
    inference(forward_subsumption_resolution,[],[f2133,f46]) ).

thf(f3578,plain,
    ! [X0: $i] : ( c0 != X0 ),
    inference(constrained_superposition,[],[f46,f2136]) ).

thf(f3647,plain,
    $false,
    inference(equality_resolution,[],[f3578]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM814^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n019.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
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 13:01:48 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.97/0.38  % (723611)Will run a generic schedule for satisfiability detection.
% 0.97/0.38  % (723619)dis+10_1_sil=32000:sp=arity:random_seed=251698880:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.97/0.38  % (723617)% WARNING: option uhcvi not known.
% 0.97/0.38  % (723616)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4015437130_2999 on theBenchmark for (2999ds/0Mi)
% 0.97/0.38  % (723618)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2800743004:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.97/0.38  % (723617)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1025444294:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.97/0.38  % (723620)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1695769517:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.97/0.38  % (723617)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.97/0.38  % Exception at run slice level
% 0.97/0.38  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.97/0.38  % (723620)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.97/0.38  % (723617)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.97/0.38  % (723622)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=834271597:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.97/0.38  % (723621)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4249717624:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.97/0.38  % (723619)Instruction limit reached! 
% 0.97/0.38  % (723619)------------------------------
% 0.97/0.38  % (723619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.38  % (723619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.38  % (723619)CaDiCaL version: 2.1.3
% 0.97/0.38  % (723619)Termination reason: Instruction limit
% 0.97/0.38  % (723619)Termination phase: Saturation
% 0.97/0.38  % (723619)Time elapsed: 0.027 s
% 0.97/0.38  % (723619)Peak memory usage: 12 MB
% 0.97/0.38  % (723619)Instructions burned: 104 (million)
% 0.97/0.38  % (723628)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=54836739:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.97/0.38  % Exception at run slice level
% 0.97/0.38  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.97/0.38  % (723632)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3962793325:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.97/0.38  % (723633)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=853135006:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.97/0.38  % (723633)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.97/0.38  % (723633)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.97/0.38  % (723620)Instruction limit reached! 
% 0.97/0.38  % (723620)------------------------------
% 0.97/0.38  % (723620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.38  % (723620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.38  % (723620)CaDiCaL version: 2.1.3
% 0.97/0.38  % (723620)Termination reason: Instruction limit
% 0.97/0.38  % (723620)Termination phase: Saturation
% 0.97/0.38  % (723620)Time elapsed: 0.053 s
% 0.97/0.38  % (723620)Peak memory usage: 12 MB
% 0.97/0.38  % (723620)Instructions burned: 118 (million)
% 0.97/0.38  % (723632)Instruction limit reached! 
% 0.97/0.38  % (723632)------------------------------
% 0.97/0.38  % (723632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.38  % (723632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.38  % (723632)CaDiCaL version: 2.1.3
% 0.97/0.38  % (723632)Termination reason: Instruction limit
% 0.97/0.38  % (723632)Termination phase: Saturation
% 0.97/0.38  % (723632)Time elapsed: 0.035 s
% 0.97/0.38  % (723632)Peak memory usage: 12 MB
% 0.97/0.38  % (723632)Instructions burned: 134 (million)
% 0.97/0.38  % (723622)Instruction limit reached! 
% 0.97/0.38  % (723622)------------------------------
% 0.97/0.38  % (723622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.38  % (723622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.38  % (723622)CaDiCaL version: 2.1.3
% 0.97/0.38  % (723622)Termination reason: Instruction limit
% 0.97/0.38  % (723622)Termination phase: Saturation
% 0.97/0.38  % (723622)Time elapsed: 0.068 s
% 0.97/0.38  % (723622)Peak memory usage: 12 MB
% 0.97/0.38  % (723622)Instructions burned: 159 (million)
% 0.97/0.38  % (723637)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=663993462:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.97/0.38  % (723636)ott-21_1_sil=16000:fs=off:random_seed=1632285174:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.97/0.38  % (723638)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=516654473:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.97/0.38  % Exception at run slice level
% 0.97/0.38  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.97/0.38  % (723642)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3429239448:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.97/0.38  % (723617) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-723611-723617"...
% 0.97/0.38  % (723617)...printing done.
% 0.97/0.38  % (723617)Refutation found. Thanks to Tanya!
% 0.97/0.38  % SZS status Theorem for theBenchmark
% 0.97/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.97/0.39  % (723617)------------------------------
% 0.97/0.39  % (723617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.39  % (723617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.39  % (723617)CaDiCaL version: 2.1.3
% 0.97/0.39  % (723617)Termination reason: Refutation
% 0.97/0.39  % (723617)Time elapsed: 0.119 s
% 0.97/0.39  % (723617)Peak memory usage: 13 MB
% 0.97/0.39  % (723617)Instructions burned: 248 (million)
% 0.97/0.39  % (723611)Success in time 0.15 s
% 0.97/0.39  % Vampire exiting
%------------------------------------------------------------------------------