TSTP Solution File: SWW521_5 by Vampire-SAT---4.9

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW521_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:53:32 EDT 2024

% Result   : Theorem 3.00s 0.94s
% Output   : Refutation 3.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   82 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  210 (  10 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  205 (  77   ~;  76   |;  23   &)
%                                         (   4 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;   3 prp; 0-6 aty)
%            Number of functors    :   43 (  43 usr;   8 con; 0-5 aty)
%            Number of variables   :  178 ( 164   !;  14   ?; 178   :)

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

tff(type_def_6,type,
    bool: $tType ).

tff(type_def_7,type,
    hoare_28830079triple: $tType > $tType ).

tff(type_def_8,type,
    nat: $tType ).

tff(type_def_9,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).

tff(func_def_2,type,
    uminus_uminus: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3,type,
    suc: nat > nat ).

tff(func_def_4,type,
    semiri532925092at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_5,type,
    powp: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).

tff(func_def_6,type,
    ord_atLeast: 
      !>[X0: $tType] : ( X0 > fun(X0,bool) ) ).

tff(func_def_7,type,
    ord_atMost: 
      !>[X0: $tType] : ( X0 > fun(X0,bool) ) ).

tff(func_def_8,type,
    ord_greaterThan: 
      !>[X0: $tType] : ( X0 > fun(X0,bool) ) ).

tff(func_def_9,type,
    ord_lessThan: 
      !>[X0: $tType] : ( X0 > fun(X0,bool) ) ).

tff(func_def_10,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_11,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_12,type,
    fFalse: bool ).

tff(func_def_13,type,
    fNot: fun(bool,bool) ).

tff(func_def_14,type,
    fTrue: bool ).

tff(func_def_15,type,
    member: 
      !>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).

tff(func_def_16,type,
    ga: fun(hoare_28830079triple(a),bool) ).

tff(func_def_17,type,
    ts: fun(hoare_28830079triple(a),bool) ).

tff(func_def_18,type,
    tsa: fun(hoare_28830079triple(a),bool) ).

tff(func_def_19,type,
    sK0: nat ).

tff(func_def_20,type,
    sK1: hoare_28830079triple(a) ).

tff(func_def_21,type,
    sK2: nat > hoare_28830079triple(a) ).

tff(func_def_22,type,
    sK3: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_23,type,
    sK4: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_24,type,
    sK5: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_25,type,
    sK6: nat > nat ).

tff(func_def_26,type,
    sK7: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_27,type,
    sK8: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_28,type,
    sK9: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_29,type,
    sK10: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_30,type,
    sK11: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_31,type,
    sK12: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_32,type,
    sK13: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_33,type,
    sK14: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_34,type,
    sK15: fun(nat,bool) > nat ).

tff(func_def_35,type,
    sK16: ( fun(nat,bool) * nat ) > nat ).

tff(func_def_36,type,
    sK17: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_37,type,
    sK18: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_38,type,
    sK19: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_39,type,
    sK20: 
      !>[X0: $tType] : ( ( nat * fun(hoare_28830079triple(X0),bool) ) > hoare_28830079triple(X0) ) ).

tff(func_def_40,type,
    sK21: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(pred_def_1,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    boolean_algebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    hoare_992312373derivs: 
      !>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).

tff(pred_def_10,type,
    hoare_592965047valids: 
      !>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).

tff(pred_def_11,type,
    hoare_1633586161_valid: 
      !>[X0: $tType] : ( ( nat * hoare_28830079triple(X0) ) > $o ) ).

tff(pred_def_12,type,
    ord_less_eq: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_13,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_14,type,
    inv_imagep: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).

tff(pred_def_15,type,
    pp: bool > $o ).

tff(f8355,plain,
    $false,
    inference(avatar_sat_refutation,[],[f8218,f8276,f8354]) ).

tff(f8354,plain,
    ( spl22_11
    | ~ spl22_102 ),
    inference(avatar_contradiction_clause,[],[f8353]) ).

tff(f8353,plain,
    ( $false
    | spl22_11
    | ~ spl22_102 ),
    inference(subsumption_resolution,[],[f8345,f405]) ).

tff(f405,plain,
    ~ hoare_1633586161_valid(a,sK0,sK1),
    inference(cnf_transformation,[],[f340]) ).

tff(f340,plain,
    ( ~ hoare_1633586161_valid(a,sK0,sK1)
    & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK1),tsa))
    & ! [X2: hoare_28830079triple(a)] :
        ( hoare_1633586161_valid(a,sK0,X2)
        | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f236,f339,f338]) ).

tff(f338,plain,
    ( ? [X0: nat] :
        ( ? [X1: hoare_28830079triple(a)] :
            ( ~ hoare_1633586161_valid(a,X0,X1)
            & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa)) )
        & ! [X2: hoare_28830079triple(a)] :
            ( hoare_1633586161_valid(a,X0,X2)
            | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) )
   => ( ? [X1: hoare_28830079triple(a)] :
          ( ~ hoare_1633586161_valid(a,sK0,X1)
          & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa)) )
      & ! [X2: hoare_28830079triple(a)] :
          ( hoare_1633586161_valid(a,sK0,X2)
          | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f339,plain,
    ( ? [X1: hoare_28830079triple(a)] :
        ( ~ hoare_1633586161_valid(a,sK0,X1)
        & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa)) )
   => ( ~ hoare_1633586161_valid(a,sK0,sK1)
      & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK1),tsa)) ) ),
    introduced(choice_axiom,[]) ).

tff(f236,plain,
    ? [X0: nat] :
      ( ? [X1: hoare_28830079triple(a)] :
          ( ~ hoare_1633586161_valid(a,X0,X1)
          & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa)) )
      & ! [X2: hoare_28830079triple(a)] :
          ( hoare_1633586161_valid(a,X0,X2)
          | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ),
    inference(ennf_transformation,[],[f124]) ).

tff(f124,plain,
    ~ ! [X0: nat] :
        ( ! [X1: hoare_28830079triple(a)] :
            ( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),tsa))
           => hoare_1633586161_valid(a,X0,X1) )
        | ? [X2: hoare_28830079triple(a)] :
            ( ~ hoare_1633586161_valid(a,X0,X2)
            & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ),
    inference(rectify,[],[f123]) ).

tff(f123,negated_conjecture,
    ~ ! [X42: nat] :
        ( ! [X25: hoare_28830079triple(a)] :
            ( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X25),tsa))
           => hoare_1633586161_valid(a,X42,X25) )
        | ? [X31: hoare_28830079triple(a)] :
            ( ~ hoare_1633586161_valid(a,X42,X31)
            & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X31),ga)) ) ),
    inference(negated_conjecture,[],[f122]) ).

tff(f122,conjecture,
    ! [X42: nat] :
      ( ! [X25: hoare_28830079triple(a)] :
          ( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X25),tsa))
         => hoare_1633586161_valid(a,X42,X25) )
      | ? [X31: hoare_28830079triple(a)] :
          ( ~ hoare_1633586161_valid(a,X42,X31)
          & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X31),ga)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f8345,plain,
    ( hoare_1633586161_valid(a,sK0,sK1)
    | spl22_11
    | ~ spl22_102 ),
    inference(resolution,[],[f8293,f8216]) ).

tff(f8216,plain,
    ( pp(aa(hoare_28830079triple(a),bool,ts,sK1))
    | ~ spl22_102 ),
    inference(avatar_component_clause,[],[f8215]) ).

tff(f8215,plain,
    ( spl22_102
  <=> pp(aa(hoare_28830079triple(a),bool,ts,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_102])]) ).

tff(f8293,plain,
    ( ! [X0: hoare_28830079triple(a)] :
        ( ~ pp(aa(hoare_28830079triple(a),bool,ts,X0))
        | hoare_1633586161_valid(a,sK0,X0) )
    | spl22_11 ),
    inference(resolution,[],[f2225,f7712]) ).

tff(f7712,plain,
    ! [X0: hoare_28830079triple(a),X1: nat] :
      ( hoare_1633586161_valid(a,sK0,sK2(X1))
      | hoare_1633586161_valid(a,X1,X0)
      | ~ pp(aa(hoare_28830079triple(a),bool,ts,X0)) ),
    inference(backward_demodulation,[],[f2577,f7575]) ).

tff(f7575,plain,
    ! [X0: $tType,X1: fun(X0,bool)] : ( combc(X0,fun(X0,bool),bool,member(X0),X1) = X1 ),
    inference(subsumption_resolution,[],[f7567,f3968]) ).

tff(f3968,plain,
    ! [X0: $tType,X1: fun(X0,bool)] : ord_less_eq(fun(X0,bool),combc(X0,fun(X0,bool),bool,member(X0),X1),X1),
    inference(duplicate_literal_removal,[],[f3951]) ).

tff(f3951,plain,
    ! [X0: $tType,X1: fun(X0,bool)] :
      ( ord_less_eq(fun(X0,bool),combc(X0,fun(X0,bool),bool,member(X0),X1),X1)
      | ord_less_eq(fun(X0,bool),combc(X0,fun(X0,bool),bool,member(X0),X1),X1) ),
    inference(resolution,[],[f2038,f604]) ).

tff(f604,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool)] :
      ( ~ pp(aa(X0,bool,combc(X0,fun(X0,bool),bool,member(X0),X1),sK19(X0,X1,X2)))
      | ord_less_eq(fun(X0,bool),X2,X1) ),
    inference(backward_demodulation,[],[f533,f559]) ).

tff(f559,plain,
    ! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
    inference(cnf_transformation,[],[f230]) ).

tff(f230,plain,
    ! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
    inference(rectify,[],[f118]) ).

tff(f118,axiom,
    ! [X0: $tType,X2: $tType,X1: $tType,X53: X0,X54: X1,X52: fun(X0,fun(X1,X2))] : ( aa(X0,X2,combc(X0,X1,X2,X52,X54),X53) = aa(X1,X2,aa(X0,fun(X1,X2),X52,X53),X54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f533,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool)] :
      ( ord_less_eq(fun(X0,bool),X2,X1)
      | ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),sK19(X0,X1,X2)),X1)) ),
    inference(cnf_transformation,[],[f391]) ).

tff(f391,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ord_less_eq(fun(X0,bool),X2,X1)
      | ( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),sK19(X0,X1,X2)),X1))
        & pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),sK19(X0,X1,X2)),X2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f315,f390]) ).

tff(f390,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ? [X3: X0] :
          ( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X3),X1))
          & pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) )
     => ( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),sK19(X0,X1,X2)),X1))
        & pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),sK19(X0,X1,X2)),X2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f315,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ord_less_eq(fun(X0,bool),X2,X1)
      | ? [X3: X0] :
          ( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X3),X1))
          & pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) ) ),
    inference(ennf_transformation,[],[f210]) ).

tff(f210,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ! [X3: X0] :
          ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X3),X2))
         => pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X3),X1)) )
     => ord_less_eq(fun(X0,bool),X2,X1) ),
    inference(rectify,[],[f32]) ).

tff(f32,axiom,
    ! [X1: $tType,X8: fun(X1,bool),X9: fun(X1,bool)] :
      ( ! [X25: X1] :
          ( pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X25),X9))
         => pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X25),X8)) )
     => ord_less_eq(fun(X1,bool),X9,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2038,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool)] :
      ( pp(aa(X0,bool,X1,sK19(X0,X2,X1)))
      | ord_less_eq(fun(X0,bool),X1,X2) ),
    inference(resolution,[],[f605,f596]) ).

tff(f596,plain,
    ! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
      ( ~ pp(aa(X0,bool,combc(X0,fun(X0,bool),bool,member(X0),X1),X2))
      | pp(aa(X0,bool,X1,X2)) ),
    inference(backward_demodulation,[],[f543,f559]) ).

tff(f543,plain,
    ! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
      ( pp(aa(X0,bool,X1,X2))
      | ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1)) ),
    inference(cnf_transformation,[],[f399]) ).

tff(f399,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: X0] :
      ( ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
        | ~ pp(aa(X0,bool,X1,X2)) )
      & ( pp(aa(X0,bool,X1,X2))
        | ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1)) ) ),
    inference(nnf_transformation,[],[f216]) ).

tff(f216,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: X0] :
      ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
    <=> pp(aa(X0,bool,X1,X2)) ),
    inference(rectify,[],[f75]) ).

tff(f75,axiom,
    ! [X1: $tType,X9: fun(X1,bool),X15: X1] :
      ( pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X15),X9))
    <=> pp(aa(X1,bool,X9,X15)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f605,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool)] :
      ( pp(aa(X0,bool,combc(X0,fun(X0,bool),bool,member(X0),X2),sK19(X0,X1,X2)))
      | ord_less_eq(fun(X0,bool),X2,X1) ),
    inference(backward_demodulation,[],[f532,f559]) ).

tff(f532,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool)] :
      ( ord_less_eq(fun(X0,bool),X2,X1)
      | pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),sK19(X0,X1,X2)),X2)) ),
    inference(cnf_transformation,[],[f391]) ).

tff(f7567,plain,
    ! [X0: $tType,X1: fun(X0,bool)] :
      ( ~ ord_less_eq(fun(X0,bool),combc(X0,fun(X0,bool),bool,member(X0),X1),X1)
      | ( combc(X0,fun(X0,bool),bool,member(X0),X1) = X1 ) ),
    inference(resolution,[],[f3944,f523]) ).

tff(f523,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool)] :
      ( ~ ord_less_eq(fun(X0,bool),X2,X1)
      | ~ ord_less_eq(fun(X0,bool),X1,X2)
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f308]) ).

tff(f308,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ( X1 = X2 )
      | ~ ord_less_eq(fun(X0,bool),X1,X2)
      | ~ ord_less_eq(fun(X0,bool),X2,X1) ),
    inference(flattening,[],[f307]) ).

tff(f307,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ( X1 = X2 )
      | ~ ord_less_eq(fun(X0,bool),X1,X2)
      | ~ ord_less_eq(fun(X0,bool),X2,X1) ),
    inference(ennf_transformation,[],[f203]) ).

tff(f203,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ord_less_eq(fun(X0,bool),X2,X1)
     => ( ord_less_eq(fun(X0,bool),X1,X2)
       => ( X1 = X2 ) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ! [X1: $tType,X8: fun(X1,bool),X9: fun(X1,bool)] :
      ( ord_less_eq(fun(X1,bool),X9,X8)
     => ( ord_less_eq(fun(X1,bool),X8,X9)
       => ( X8 = X9 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3944,plain,
    ! [X0: $tType,X1: fun(X0,bool)] : ord_less_eq(fun(X0,bool),X1,combc(X0,fun(X0,bool),bool,member(X0),X1)),
    inference(duplicate_literal_removal,[],[f3927]) ).

tff(f3927,plain,
    ! [X0: $tType,X1: fun(X0,bool)] :
      ( ord_less_eq(fun(X0,bool),X1,combc(X0,fun(X0,bool),bool,member(X0),X1))
      | ord_less_eq(fun(X0,bool),X1,combc(X0,fun(X0,bool),bool,member(X0),X1)) ),
    inference(resolution,[],[f2007,f605]) ).

tff(f2007,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool)] :
      ( ~ pp(aa(X0,bool,X2,sK19(X0,X2,X1)))
      | ord_less_eq(fun(X0,bool),X1,X2) ),
    inference(resolution,[],[f604,f597]) ).

tff(f597,plain,
    ! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
      ( pp(aa(X0,bool,combc(X0,fun(X0,bool),bool,member(X0),X1),X2))
      | ~ pp(aa(X0,bool,X1,X2)) ),
    inference(backward_demodulation,[],[f544,f559]) ).

tff(f544,plain,
    ! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
      ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
      | ~ pp(aa(X0,bool,X1,X2)) ),
    inference(cnf_transformation,[],[f399]) ).

tff(f2577,plain,
    ! [X0: hoare_28830079triple(a),X1: nat] :
      ( ~ pp(aa(hoare_28830079triple(a),bool,combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),ts),X0))
      | hoare_1633586161_valid(a,X1,X0)
      | hoare_1633586161_valid(a,sK0,sK2(X1)) ),
    inference(resolution,[],[f606,f590]) ).

tff(f590,plain,
    ! [X2: hoare_28830079triple(a)] :
      ( ~ pp(aa(hoare_28830079triple(a),bool,combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),ga),X2))
      | hoare_1633586161_valid(a,sK0,X2) ),
    inference(backward_demodulation,[],[f403,f559]) ).

tff(f403,plain,
    ! [X2: hoare_28830079triple(a)] :
      ( hoare_1633586161_valid(a,sK0,X2)
      | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ),
    inference(cnf_transformation,[],[f340]) ).

tff(f606,plain,
    ! [X0: nat,X1: hoare_28830079triple(a)] :
      ( pp(aa(hoare_28830079triple(a),bool,combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),ga),sK2(X0)))
      | ~ pp(aa(hoare_28830079triple(a),bool,combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),ts),X1))
      | hoare_1633586161_valid(a,X0,X1) ),
    inference(forward_demodulation,[],[f591,f559]) ).

tff(f591,plain,
    ! [X0: nat,X1: hoare_28830079triple(a)] :
      ( pp(aa(hoare_28830079triple(a),bool,combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),ga),sK2(X0)))
      | hoare_1633586161_valid(a,X0,X1)
      | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts)) ),
    inference(backward_demodulation,[],[f408,f559]) ).

tff(f408,plain,
    ! [X0: nat,X1: hoare_28830079triple(a)] :
      ( hoare_1633586161_valid(a,X0,X1)
      | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts))
      | pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK2(X0)),ga)) ),
    inference(cnf_transformation,[],[f343]) ).

tff(f343,plain,
    ! [X0: nat] :
      ( ! [X1: hoare_28830079triple(a)] :
          ( hoare_1633586161_valid(a,X0,X1)
          | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts)) )
      | ( ~ hoare_1633586161_valid(a,X0,sK2(X0))
        & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK2(X0)),ga)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f341,f342]) ).

tff(f342,plain,
    ! [X0: nat] :
      ( ? [X2: hoare_28830079triple(a)] :
          ( ~ hoare_1633586161_valid(a,X0,X2)
          & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) )
     => ( ~ hoare_1633586161_valid(a,X0,sK2(X0))
        & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK2(X0)),ga)) ) ),
    introduced(choice_axiom,[]) ).

tff(f341,plain,
    ! [X0: nat] :
      ( ! [X1: hoare_28830079triple(a)] :
          ( hoare_1633586161_valid(a,X0,X1)
          | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts)) )
      | ? [X2: hoare_28830079triple(a)] :
          ( ~ hoare_1633586161_valid(a,X0,X2)
          & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ga)) ) ),
    inference(rectify,[],[f237]) ).

tff(f237,plain,
    ! [X0: nat] :
      ( ! [X2: hoare_28830079triple(a)] :
          ( hoare_1633586161_valid(a,X0,X2)
          | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ts)) )
      | ? [X1: hoare_28830079triple(a)] :
          ( ~ hoare_1633586161_valid(a,X0,X1)
          & pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ga)) ) ),
    inference(ennf_transformation,[],[f125]) ).

tff(f125,plain,
    ! [X0: nat] :
      ( ! [X1: hoare_28830079triple(a)] :
          ( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ga))
         => hoare_1633586161_valid(a,X0,X1) )
     => ! [X2: hoare_28830079triple(a)] :
          ( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X2),ts))
         => hoare_1633586161_valid(a,X0,X2) ) ),
    inference(rectify,[],[f120]) ).

tff(f120,axiom,
    ! [X55: nat] :
      ( ! [X25: hoare_28830079triple(a)] :
          ( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X25),ga))
         => hoare_1633586161_valid(a,X55,X25) )
     => ! [X31: hoare_28830079triple(a)] :
          ( pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X31),ts))
         => hoare_1633586161_valid(a,X55,X31) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2225,plain,
    ( ~ hoare_1633586161_valid(a,sK0,sK2(sK0))
    | spl22_11 ),
    inference(avatar_component_clause,[],[f2223]) ).

tff(f2223,plain,
    ( spl22_11
  <=> hoare_1633586161_valid(a,sK0,sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).

tff(f8276,plain,
    spl22_102,
    inference(avatar_contradiction_clause,[],[f8275]) ).

tff(f8275,plain,
    ( $false
    | spl22_102 ),
    inference(subsumption_resolution,[],[f8255,f1741]) ).

tff(f1741,plain,
    pp(aa(hoare_28830079triple(a),bool,tsa,sK1)),
    inference(resolution,[],[f596,f589]) ).

tff(f589,plain,
    pp(aa(hoare_28830079triple(a),bool,combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),tsa),sK1)),
    inference(backward_demodulation,[],[f404,f559]) ).

tff(f404,plain,
    pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),sK1),tsa)),
    inference(cnf_transformation,[],[f340]) ).

tff(f8255,plain,
    ( ~ pp(aa(hoare_28830079triple(a),bool,tsa,sK1))
    | spl22_102 ),
    inference(resolution,[],[f8232,f407]) ).

tff(f407,plain,
    ord_less_eq(fun(hoare_28830079triple(a),bool),tsa,ts),
    inference(cnf_transformation,[],[f121]) ).

tff(f121,axiom,
    ord_less_eq(fun(hoare_28830079triple(a),bool),tsa,ts),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f8232,plain,
    ( ! [X0: fun(hoare_28830079triple(a),bool)] :
        ( ~ ord_less_eq(fun(hoare_28830079triple(a),bool),X0,ts)
        | ~ pp(aa(hoare_28830079triple(a),bool,X0,sK1)) )
    | spl22_102 ),
    inference(resolution,[],[f8217,f550]) ).

tff(f550,plain,
    ! [X0: $tType,X2: X0,X3: fun(X0,bool),X1: fun(X0,bool)] :
      ( pp(aa(X0,bool,X1,X2))
      | ~ ord_less_eq(fun(X0,bool),X3,X1)
      | ~ pp(aa(X0,bool,X3,X2)) ),
    inference(cnf_transformation,[],[f324]) ).

tff(f324,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: X0,X3: fun(X0,bool)] :
      ( pp(aa(X0,bool,X1,X2))
      | ~ ord_less_eq(fun(X0,bool),X3,X1)
      | ~ pp(aa(X0,bool,X3,X2)) ),
    inference(flattening,[],[f323]) ).

tff(f323,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: X0,X3: fun(X0,bool)] :
      ( pp(aa(X0,bool,X1,X2))
      | ~ ord_less_eq(fun(X0,bool),X3,X1)
      | ~ pp(aa(X0,bool,X3,X2)) ),
    inference(ennf_transformation,[],[f221]) ).

tff(f221,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: X0,X3: fun(X0,bool)] :
      ( pp(aa(X0,bool,X3,X2))
     => ( ord_less_eq(fun(X0,bool),X3,X1)
       => pp(aa(X0,bool,X1,X2)) ) ),
    inference(rectify,[],[f14]) ).

tff(f14,axiom,
    ! [X1: $tType,X16: fun(X1,bool),X15: X1,X17: fun(X1,bool)] :
      ( pp(aa(X1,bool,X17,X15))
     => ( ord_less_eq(fun(X1,bool),X17,X16)
       => pp(aa(X1,bool,X16,X15)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f8217,plain,
    ( ~ pp(aa(hoare_28830079triple(a),bool,ts,sK1))
    | spl22_102 ),
    inference(avatar_component_clause,[],[f8215]) ).

tff(f8218,plain,
    ( ~ spl22_11
    | ~ spl22_102 ),
    inference(avatar_split_clause,[],[f7964,f8215,f2223]) ).

tff(f7964,plain,
    ( ~ pp(aa(hoare_28830079triple(a),bool,ts,sK1))
    | ~ hoare_1633586161_valid(a,sK0,sK2(sK0)) ),
    inference(resolution,[],[f7709,f405]) ).

tff(f7709,plain,
    ! [X0: nat,X1: hoare_28830079triple(a)] :
      ( hoare_1633586161_valid(a,X0,X1)
      | ~ pp(aa(hoare_28830079triple(a),bool,ts,X1))
      | ~ hoare_1633586161_valid(a,X0,sK2(X0)) ),
    inference(backward_demodulation,[],[f592,f7575]) ).

tff(f592,plain,
    ! [X0: nat,X1: hoare_28830079triple(a)] :
      ( hoare_1633586161_valid(a,X0,X1)
      | ~ pp(aa(hoare_28830079triple(a),bool,combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),ts),X1))
      | ~ hoare_1633586161_valid(a,X0,sK2(X0)) ),
    inference(backward_demodulation,[],[f409,f559]) ).

tff(f409,plain,
    ! [X0: nat,X1: hoare_28830079triple(a)] :
      ( hoare_1633586161_valid(a,X0,X1)
      | ~ pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),bool),member(hoare_28830079triple(a)),X1),ts))
      | ~ hoare_1633586161_valid(a,X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f343]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW521_5 : TPTP v8.2.0. Released v6.0.0.
% 0.07/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Jun 19 06:16:24 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a TF1_THM_EQU_NAR problem
% 0.12/0.36  Running first-order model finding
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.40  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40  % (23013)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.40  % (23013)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.41  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41  % (23010)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.41  % (23010)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.41  % (23010)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.41  % Exception at run slice level
% 0.22/0.41  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.43  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (23012)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.43  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (23009)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.43  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (23008)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.43  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (23011)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.43  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (23007)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.43  % (23011)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.43  % (23012)Aborted by signal SIGSEGV on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43  % (23012)------------------------------
% 0.22/0.43  % (23012)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (23012)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (23012)Termination reason: Unknown
% 0.22/0.43  % (23012)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (23012)Memory used [KB]: 1019
% 0.22/0.43  % (23012)Time elapsed: 0.005 s
% 0.22/0.43  % (23012)Instructions burned: 9 (million)
% 0.22/0.43  % (23012)------------------------------
% 0.22/0.43  % (23012)------------------------------
% 0.22/0.43  Version : Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  call stack: 0x416001 0x1cd76a0 0x1cd5fa4 0x41c856 0x4193c6 0xa45fc5 0xa4c1bf 0xa4cf76 0xa4d5a0 0x769598 0x7693f1 0x4f70af 0x7735d4 0x762d9c 0x714d88 0x54d462 0x669b24 0x53ec63 0x53b01e 0x4e7881 0x54f63d 0x1ceab70 0x489180 0x41f883
% 0.22/0.43  (use '--traceback on' to get a human-readable stack trace)
% 0.22/0.43  % Exception at run slice level
% 0.22/0.43  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.43  % Exception at run slice level
% 0.22/0.43  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.44  % (23013)Instruction limit reached!
% 0.22/0.44  % (23013)------------------------------
% 0.22/0.44  % (23013)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44  % (23013)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44  % (23013)Termination reason: Time limit
% 0.22/0.44  % (23013)Termination phase: Saturation
% 0.22/0.44  
% 0.22/0.44  % (23013)Memory used [KB]: 2072
% 0.22/0.44  % (23013)Time elapsed: 0.039 s
% 0.22/0.44  % (23013)Instructions burned: 115 (million)
% 0.22/0.44  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (23014)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.22/0.45  % (23014)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.47  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47  % (23015)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.22/0.48  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48  % (23016)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.22/0.49  % (23011)Instruction limit reached!
% 0.22/0.49  % (23011)------------------------------
% 0.22/0.49  % (23011)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49  % (23011)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49  % (23011)Termination reason: Time limit
% 0.22/0.49  % (23011)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (23011)Memory used [KB]: 1742
% 0.22/0.49  % (23011)Time elapsed: 0.064 s
% 0.22/0.49  % (23011)Instructions burned: 105 (million)
% 0.22/0.49  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (23017)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2999ds/900Mi)
% 0.22/0.50  % (23006)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50  % (23018)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2999ds/7859Mi)
% 0.22/0.51  % Exception at run slice level
% 0.22/0.51  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.43/0.56  % (23006)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.56  % (23019)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 1.43/0.56  % (23015)Instruction limit reached!
% 1.43/0.56  % (23015)------------------------------
% 1.43/0.56  % (23015)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.43/0.56  % (23015)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.43/0.56  % (23015)Termination reason: Time limit
% 1.43/0.56  % (23015)Termination phase: Saturation
% 1.43/0.56  
% 1.43/0.56  % (23015)Memory used [KB]: 2260
% 1.43/0.56  % (23015)Time elapsed: 0.106 s
% 1.43/0.56  % (23015)Instructions burned: 178 (million)
% 1.43/0.57  % (23016)Instruction limit reached!
% 1.43/0.57  % (23016)------------------------------
% 1.43/0.57  % (23016)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.43/0.57  % (23016)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.43/0.57  % (23016)Termination reason: Time limit
% 1.43/0.57  % (23016)Termination phase: Saturation
% 1.43/0.57  
% 1.43/0.57  % (23016)Memory used [KB]: 2400
% 1.43/0.57  % (23016)Time elapsed: 0.088 s
% 1.43/0.57  % (23016)Instructions burned: 272 (million)
% 1.43/0.58  % (23006)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.58  % (23020)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2998ds/1187Mi)
% 1.43/0.58  % (23020)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.43/0.58  % (23014)Instruction limit reached!
% 1.43/0.58  % (23014)------------------------------
% 1.43/0.58  % (23014)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.43/0.58  % (23014)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.43/0.58  % (23014)Termination reason: Time limit
% 1.43/0.58  % (23014)Termination phase: Saturation
% 1.43/0.58  
% 1.43/0.58  % (23014)Memory used [KB]: 2354
% 1.43/0.58  % (23014)Time elapsed: 0.140 s
% 1.43/0.58  % (23014)Instructions burned: 404 (million)
% 1.43/0.60  % (23006)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.60  % (23021)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2998ds/23580Mi)
% 1.43/0.60  % (23021)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.43/0.60  % Exception at run slice level
% 1.43/0.60  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.43/0.60  % (23006)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.60  % (23022)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2998ds/2892Mi)
% 1.43/0.60  % Exception at run slice level
% 1.43/0.60  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.43/0.62  % (23006)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.62  % (23023)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2997ds/1693Mi)
% 1.43/0.63  % (23006)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.63  % (23024)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2997ds/1735Mi)
% 1.43/0.63  % (23024)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.91/0.64  % (23006)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.64  % (23025)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2997ds/131798Mi)
% 1.91/0.64  % Exception at run slice level
% 1.91/0.64  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.91/0.67  % (23006)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.67  % (23026)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2997ds/3451Mi)
% 1.91/0.68  % (23026)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.91/0.68  % Exception at run slice level
% 1.91/0.68  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 2.15/0.71  % (23006)Running in auto input_syntax mode. Trying TPTP
% 2.15/0.71  % (23027)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2997ds/3978Mi)
% 2.46/0.79  % (23017)Instruction limit reached!
% 2.46/0.79  % (23017)------------------------------
% 2.46/0.79  % (23017)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.46/0.79  % (23017)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.46/0.79  % (23017)Termination reason: Time limit
% 2.46/0.79  % (23017)Termination phase: Saturation
% 2.46/0.79  
% 2.46/0.79  % (23017)Memory used [KB]: 2311
% 2.46/0.79  % (23017)Time elapsed: 0.301 s
% 2.46/0.79  % (23017)Instructions burned: 903 (million)
% 2.78/0.86  % (23006)Running in auto input_syntax mode. Trying TPTP
% 2.78/0.86  % (23028)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2995ds/33091Mi)
% 3.00/0.94  % (23023)First to succeed.
% 3.00/0.94  % (23023)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23006"
% 3.00/0.94  % (23006)Running in auto input_syntax mode. Trying TPTP
% 3.00/0.94  % (23023)Refutation found. Thanks to Tanya!
% 3.00/0.94  % SZS status Theorem for theBenchmark
% 3.00/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 3.00/0.94  % (23023)------------------------------
% 3.00/0.94  % (23023)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.00/0.94  % (23023)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.00/0.94  % (23023)Termination reason: Refutation
% 3.00/0.94  
% 3.00/0.94  % (23023)Memory used [KB]: 4048
% 3.00/0.94  % (23023)Time elapsed: 0.325 s
% 3.00/0.94  % (23023)Instructions burned: 1104 (million)
% 3.00/0.94  % (23023)------------------------------
% 3.00/0.94  % (23023)------------------------------
% 3.00/0.94  % (23006)Success in time 0.559 s
%------------------------------------------------------------------------------