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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW495_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 : Tue Sep 29 01:40:20 PM UTC 2026

% Result   : Theorem 0.26s 0.34s
% Output   : Refutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   91 (  27 unt;   0 typ;   5 def)
%            Number of atoms       :  223 (  32 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  229 (  97   ~;  97   |;  11   &)
%                                         (  11 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;   6 prp; 0-4 aty)
%            Number of functors    :   31 (  31 usr;  16 con; 0-4 aty)
%            Number of variables   :   84 (   0 sgn  84   !;   0   ?;  84   :)

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

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

tff(type_def_7,type,
    fun: ( $tType * $tType ) > $tType ).

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

tff(func_def_1,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_2,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_3,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_4,type,
    fFalse: bool ).

tff(func_def_5,type,
    fTrue: bool ).

tff(func_def_6,type,
    l: real ).

tff(func_def_7,type,
    p: fun(real,bool) ).

tff(func_def_8,type,
    y1: real ).

tff(func_def_9,type,
    x: real ).

tff(func_def_10,type,
    y: real ).

tff(func_def_11,type,
    z: real ).

tff(func_def_12,type,
    sK0: real ).

tff(func_def_13,type,
    sK1: real ).

tff(func_def_14,type,
    sK2: real ).

tff(func_def_15,type,
    sK3: real ).

tff(func_def_16,type,
    sK4: real ).

tff(func_def_17,type,
    sK5: real ).

tff(func_def_18,type,
    sK6: real ).

tff(func_def_19,type,
    sK7: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_20,type,
    sK8: real ).

tff(func_def_21,type,
    sK9: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_22,type,
    sK10: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_23,type,
    sK11: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_24,type,
    sK12: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_25,type,
    sK13: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_26,type,
    sK14: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_27,type,
    sK15: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_28,type,
    sK16: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_29,type,
    sK17: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

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

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

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

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

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

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

tff(pred_def_7,type,
    isLub: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_8,type,
    isUb: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_9,type,
    ord_less: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_10,type,
    ord_less_eq: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_11,type,
    member: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_12,type,
    pp: bool > $o ).

tff(f3,axiom,
    ! [X0: real] :
      ( pp(aa(real,bool,p,X0))
     => ord_less_eq(real,X0,l) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_L_H) ).

tff(f4,axiom,
    ord_less(real,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_z_I2_J) ).

tff(f13,axiom,
    ! [X0: $tType] :
      ( linorder(X0)
     => ! [X1: X0,X2: X0] :
          ( ~ ord_less(X0,X2,X1)
        <=> ( ord_less(X0,X1,X2)
            | ( X2 = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_not__less__iff__gr__or__eq) ).

tff(f17,axiom,
    ! [X0: $tType] :
      ( linordered_idom(X0)
     => ! [X1: X0,X2: X0] :
          ( ( X2 != X1 )
         => ( ~ ord_less(X0,X2,X1)
           => ord_less(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_linorder__neqE__linordered__idom) ).

tff(f19,axiom,
    pp(aa(real,bool,p,z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_z_I1_J) ).

tff(f29,axiom,
    ! [X0: $tType] :
      ( order(X0)
     => ! [X1: X0,X2: X0] :
          ( ( X2 = X1 )
        <=> ( ord_less_eq(X0,X2,X1)
            & ord_less_eq(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_order__eq__iff) ).

tff(f37,axiom,
    ! [X0: $tType] :
      ( preorder(X0)
     => ! [X1: X0,X2: X0,X3: X0] :
          ( ord_less_eq(X0,X3,X2)
         => ( ord_less_eq(X0,X2,X1)
           => ord_less_eq(X0,X3,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_order__trans) ).

tff(f46,axiom,
    ! [X0: $tType] :
      ( linorder(X0)
     => ! [X1: X0,X2: X0] :
          ( ord_less_eq(X0,X2,X1)
         => ( ~ ord_less(X0,X2,X1)
          <=> ( X2 = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_linorder__antisym__conv2) ).

tff(f47,axiom,
    ! [X0: $tType] :
      ( preorder(X0)
     => ! [X1: X0,X2: X0] :
          ( ord_less(X0,X2,X1)
         => ord_less_eq(X0,X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_order__less__imp__le) ).

tff(f110,axiom,
    linordered_idom(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Rings_Olinordered__idom) ).

tff(f111,axiom,
    preorder(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Orderings_Opreorder) ).

tff(f112,axiom,
    linorder(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Orderings_Olinorder) ).

tff(f113,axiom,
    order(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Orderings_Oorder) ).

tff(f120,conjecture,
    ord_less(real,y,l),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f121,negated_conjecture,
    ~ ord_less(real,y,l),
    inference(negated_conjecture,[status(cth)],[f120]) ).

tff(f122,plain,
    ~ ord_less(real,y,l),
    inference(flattening,[],[f121]) ).

tff(f124,plain,
    ! [X0: real] :
      ( ord_less_eq(real,X0,l)
      | ~ pp(aa(real,bool,p,X0)) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f129,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ~ ord_less(X0,X2,X1)
        <=> ( ord_less(X0,X1,X2)
            | ( X2 = X1 ) ) )
      | ~ linorder(X0) ),
    inference(ennf_transformation,[],[f13]) ).

tff(f134,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ord_less(X0,X1,X2)
          | ord_less(X0,X2,X1)
          | ( X1 = X2 ) )
      | ~ linordered_idom(X0) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f135,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ord_less(X0,X1,X2)
          | ord_less(X0,X2,X1)
          | ( X1 = X2 ) )
      | ~ linordered_idom(X0) ),
    inference(flattening,[],[f134]) ).

tff(f144,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ( X2 = X1 )
        <=> ( ord_less_eq(X0,X2,X1)
            & ord_less_eq(X0,X1,X2) ) )
      | ~ order(X0) ),
    inference(ennf_transformation,[],[f29]) ).

tff(f155,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0,X3: X0] :
          ( ord_less_eq(X0,X3,X1)
          | ~ ord_less_eq(X0,X2,X1)
          | ~ ord_less_eq(X0,X3,X2) )
      | ~ preorder(X0) ),
    inference(ennf_transformation,[],[f37]) ).

tff(f156,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0,X3: X0] :
          ( ord_less_eq(X0,X3,X1)
          | ~ ord_less_eq(X0,X2,X1)
          | ~ ord_less_eq(X0,X3,X2) )
      | ~ preorder(X0) ),
    inference(flattening,[],[f155]) ).

tff(f169,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ( ~ ord_less(X0,X2,X1)
          <=> ( X2 = X1 ) )
          | ~ ord_less_eq(X0,X2,X1) )
      | ~ linorder(X0) ),
    inference(ennf_transformation,[],[f46]) ).

tff(f170,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ord_less_eq(X0,X2,X1)
          | ~ ord_less(X0,X2,X1) )
      | ~ preorder(X0) ),
    inference(ennf_transformation,[],[f47]) ).

tff(f240,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ( ~ ord_less(X0,X2,X1)
            | ( ~ ord_less(X0,X1,X2)
              & ( X1 != X2 ) ) )
          & ( ord_less(X0,X1,X2)
            | ( X2 = X1 )
            | ord_less(X0,X2,X1) ) )
      | ~ linorder(X0) ),
    inference(nnf_transformation,[],[f129]) ).

tff(f241,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ( ~ ord_less(X0,X2,X1)
            | ( ~ ord_less(X0,X1,X2)
              & ( X1 != X2 ) ) )
          & ( ord_less(X0,X1,X2)
            | ( X2 = X1 )
            | ord_less(X0,X2,X1) ) )
      | ~ linorder(X0) ),
    inference(flattening,[],[f240]) ).

tff(f250,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ( ( X2 = X1 )
            | ~ ord_less_eq(X0,X2,X1)
            | ~ ord_less_eq(X0,X1,X2) )
          & ( ( ord_less_eq(X0,X2,X1)
              & ord_less_eq(X0,X1,X2) )
            | ( X1 != X2 ) ) )
      | ~ order(X0) ),
    inference(nnf_transformation,[],[f144]) ).

tff(f251,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ( ( X2 = X1 )
            | ~ ord_less_eq(X0,X2,X1)
            | ~ ord_less_eq(X0,X1,X2) )
          & ( ( ord_less_eq(X0,X2,X1)
              & ord_less_eq(X0,X1,X2) )
            | ( X1 != X2 ) ) )
      | ~ order(X0) ),
    inference(flattening,[],[f250]) ).

tff(f254,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ( ( ~ ord_less(X0,X2,X1)
              | ( X1 != X2 ) )
            & ( ( X2 = X1 )
              | ord_less(X0,X2,X1) ) )
          | ~ ord_less_eq(X0,X2,X1) )
      | ~ linorder(X0) ),
    inference(nnf_transformation,[],[f169]) ).

tff(f281,plain,
    ! [X0: real] :
      ( ~ pp(aa(real,bool,p,X0))
      | ord_less_eq(real,X0,l) ),
    inference(cnf_transformation,[],[f124]) ).

tff(f282,plain,
    ord_less(real,y,z),
    inference(cnf_transformation,[],[f4]) ).

tff(f296,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ ord_less(X0,X2,X1)
      | ~ ord_less(X0,X1,X2)
      | ~ linorder(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tff(f301,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ord_less(X0,X2,X1)
      | ord_less(X0,X1,X2)
      | ( X1 = X2 )
      | ~ linordered_idom(X0) ),
    inference(cnf_transformation,[],[f135]) ).

tff(f303,plain,
    pp(aa(real,bool,p,z)),
    inference(cnf_transformation,[],[f19]) ).

tff(f317,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ ord_less_eq(X0,X2,X1)
      | ( X1 = X2 )
      | ~ ord_less_eq(X0,X1,X2)
      | ~ order(X0) ),
    inference(cnf_transformation,[],[f251]) ).

tff(f326,plain,
    ! [X0: $tType,X2: X0,X3: X0,X1: X0] :
      ( ~ ord_less_eq(X0,X3,X2)
      | ~ ord_less_eq(X0,X2,X1)
      | ord_less_eq(X0,X3,X1)
      | ~ preorder(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tff(f336,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ ord_less_eq(X0,X2,X1)
      | ord_less(X0,X2,X1)
      | ( X1 = X2 )
      | ~ linorder(X0) ),
    inference(cnf_transformation,[],[f254]) ).

tff(f338,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ ord_less(X0,X2,X1)
      | ord_less_eq(X0,X2,X1)
      | ~ preorder(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tff(f423,plain,
    linordered_idom(real),
    inference(cnf_transformation,[],[f110]) ).

tff(f424,plain,
    preorder(real),
    inference(cnf_transformation,[],[f111]) ).

tff(f425,plain,
    linorder(real),
    inference(cnf_transformation,[],[f112]) ).

tff(f426,plain,
    order(real),
    inference(cnf_transformation,[],[f113]) ).

tff(f433,plain,
    ~ ord_less(real,y,l),
    inference(cnf_transformation,[],[f122]) ).

tff(f637,plain,
    ord_less_eq(real,z,l),
    inference(resolution,[],[f281,f303]) ).

tff(f693,plain,
    ( ~ ord_less(real,z,y)
    | ~ linorder(real) ),
    inference(resolution,[],[f296,f282]) ).

tff(f700,plain,
    ~ ord_less(real,z,y),
    inference(forward_subsumption_resolution,[],[f693,f425]) ).

tff(f737,plain,
    ( ord_less_eq(real,y,z)
    | ~ preorder(real) ),
    inference(resolution,[],[f338,f282]) ).

tff(f752,plain,
    ord_less_eq(real,y,z),
    inference(forward_subsumption_resolution,[],[f737,f424]) ).

tff(f1017,definition,
    ( spl18_15
  <=> ( l = y ) ),
    introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).

tff(f1019,plain,
    ( ( l = y )
    | ~ spl18_15 ),
    inference(avatar_component_clause,[],[f1017]) ).

tff(f1021,definition,
    ( spl18_16
  <=> ord_less(real,l,y) ),
    introduced(definition,[new_symbols(definition,[spl18_16])],[avatar_definition]) ).

tff(f1023,plain,
    ( ord_less(real,l,y)
    | ~ spl18_16 ),
    inference(avatar_component_clause,[],[f1021]) ).

tff(f1050,definition,
    ( spl18_19
  <=> ( l = z ) ),
    introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).

tff(f1051,plain,
    ( ( l != z )
    | spl18_19 ),
    inference(avatar_component_clause,[],[f1050]) ).

tff(f1052,plain,
    ( ( l = z )
    | ~ spl18_19 ),
    inference(avatar_component_clause,[],[f1050]) ).

tff(f1061,plain,
    ( ord_less_eq(real,l,y)
    | ~ preorder(real)
    | ~ spl18_16 ),
    inference(resolution,[],[f1023,f338]) ).

tff(f1063,plain,
    ( ord_less_eq(real,l,y)
    | ~ spl18_16 ),
    inference(forward_subsumption_resolution,[],[f1061,f424]) ).

tff(f1072,plain,
    ( ord_less(real,l,y)
    | ( l = y )
    | ~ linordered_idom(real) ),
    inference(resolution,[],[f301,f433]) ).

tff(f1121,plain,
    ( ( l = z )
    | ~ ord_less_eq(real,l,z)
    | ~ order(real) ),
    inference(resolution,[],[f317,f637]) ).

tff(f1137,plain,
    ( ( l = z )
    | ~ ord_less_eq(real,l,z) ),
    inference(forward_subsumption_resolution,[],[f1121,f426]) ).

tff(f1199,definition,
    ( spl18_34
  <=> ord_less_eq(real,l,z) ),
    introduced(definition,[new_symbols(definition,[spl18_34])],[avatar_definition]) ).

tff(f1202,plain,
    ( ~ spl18_34
    | spl18_19 ),
    inference(avatar_split_clause,[],[f1137,f1050,f1199]) ).

tff(f1293,definition,
    ( spl18_44
  <=> ord_less(real,z,l) ),
    introduced(definition,[new_symbols(definition,[spl18_44])],[avatar_definition]) ).

tff(f1302,plain,
    ( ord_less(real,y,l)
    | ~ spl18_19 ),
    inference(superposition,[],[f282,f1052]) ).

tff(f1321,plain,
    ( $false
    | ~ spl18_19 ),
    inference(forward_subsumption_resolution,[],[f1302,f433]) ).

tff(f1322,plain,
    ~ spl18_19,
    inference(avatar_contradiction_clause,[],[f1321]) ).

tff(f1335,plain,
    ( ord_less(real,z,l)
    | ( l = z )
    | ~ linorder(real) ),
    inference(resolution,[],[f336,f637]) ).

tff(f1349,plain,
    ( ord_less(real,z,l)
    | ~ linorder(real)
    | spl18_19 ),
    inference(forward_subsumption_resolution,[],[f1335,f1051]) ).

tff(f1354,plain,
    ( ord_less(real,z,l)
    | spl18_19 ),
    inference(forward_subsumption_resolution,[],[f1349,f425]) ).

tff(f1356,plain,
    ( spl18_44
    | spl18_19 ),
    inference(avatar_split_clause,[],[f1354,f1050,f1293]) ).

tff(f1438,plain,
    ( ! [X0: real] :
        ( ~ ord_less_eq(real,y,X0)
        | ord_less_eq(real,l,X0)
        | ~ preorder(real) )
    | ~ spl18_16 ),
    inference(resolution,[],[f326,f1063]) ).

tff(f1466,plain,
    ( ! [X0: real] :
        ( ~ ord_less_eq(real,y,X0)
        | ord_less_eq(real,l,X0) )
    | ~ spl18_16 ),
    inference(forward_subsumption_resolution,[],[f1438,f424]) ).

tff(f1481,plain,
    ( ord_less_eq(real,l,z)
    | ~ spl18_16 ),
    inference(resolution,[],[f1466,f752]) ).

tff(f1491,plain,
    ( spl18_34
    | ~ spl18_16 ),
    inference(avatar_split_clause,[],[f1481,f1021,f1199]) ).

tff(f1501,plain,
    ( ord_less(real,l,y)
    | ( l = y ) ),
    inference(forward_subsumption_resolution,[],[f1072,f423]) ).

tff(f1505,plain,
    ( spl18_15
    | spl18_16 ),
    inference(avatar_split_clause,[],[f1501,f1021,f1017]) ).

tff(f1551,plain,
    ( ~ ord_less(real,z,l)
    | ~ spl18_15 ),
    inference(superposition,[],[f700,f1019]) ).

tff(f1554,plain,
    ( ~ spl18_44
    | ~ spl18_15 ),
    inference(avatar_split_clause,[],[f1551,f1017,f1293]) ).

cnf(s49,plain,
    ( spl18_19
    | ~ spl18_34 ),
    inference(sat_conversion,[],[f1202]) ).

cnf(s63,plain,
    ~ spl18_19,
    inference(sat_conversion,[],[f1322]) ).

cnf(s68,plain,
    ( spl18_19
    | spl18_44 ),
    inference(sat_conversion,[],[f1356]) ).

cnf(s71,plain,
    ( ~ spl18_16
    | spl18_34 ),
    inference(sat_conversion,[],[f1491]) ).

cnf(s78,plain,
    ( spl18_15
    | spl18_16 ),
    inference(sat_conversion,[],[f1505]) ).

cnf(s80,plain,
    ( ~ spl18_15
    | ~ spl18_44 ),
    inference(sat_conversion,[],[f1554]) ).

cnf(s82,plain,
    spl18_44,
    inference(rat,[],[s68,s63]) ).

cnf(s83,plain,
    ~ spl18_15,
    inference(rat,[],[s80,s82]) ).

cnf(s84,plain,
    spl18_16,
    inference(rat,[],[s78,s83]) ).

cnf(s85,plain,
    spl18_34,
    inference(rat,[],[s71,s84]) ).

cnf(s86,plain,
    $false,
    inference(rat,[],[s49,s85,s63]) ).

tff(f1556,plain,
    $false,
    inference(avatar_sat_refutation,[],[s86]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW495_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22  % Computer : n020.cluster.edu
% 0.10/0.22  % Model    : x86_64 x86_64
% 0.10/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22  % Memory   : 8046.5625MB
% 0.10/0.22  % OS       : Linux 6.8.0-71-generic
% 0.10/0.22  % CPULimit : 300
% 0.10/0.22  % WCLimit  : 300
% 0.10/0.22  % DateTime : Mon Sep 28 14:15:49 UTC 2026
% 0.10/0.23  % CPUTime  : 
% 0.10/0.23  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.28  Running first-order model finding
% 0.26/0.28  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
% 0.26/0.34  % (187598)Will run a generic schedule for satisfiability detection.
% 0.26/0.34  % (187606)dis+10_1_sil=32000:sp=arity:random_seed=1434063009:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.34  % (187604)% WARNING: option uhcvi not known.
% 0.26/0.34  % (187603)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1294677678_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.34  % (187607)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=175548998:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.34  % (187604)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1286442131:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.34  % (187605)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3786414916:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.34  % (187608)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3287910824:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.34  % (187609)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=310141218:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.34  % (187606) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-187598-187606"...
% 0.26/0.34  % Exception at run slice level
% 0.26/0.34  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.26/0.34  % (187606)...printing done.
% 0.26/0.34  % (187606)Refutation found. Thanks to Tanya!
% 0.26/0.34  % SZS status Theorem for theBenchmark
% 0.26/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.34  % (187606)------------------------------
% 0.26/0.34  % (187606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.34  % (187606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.34  % (187606)CaDiCaL version: 2.1.3
% 0.26/0.34  % (187606)Termination reason: Refutation
% 0.26/0.34  % (187606)Time elapsed: 0.019 s
% 0.26/0.34  % (187606)Peak memory usage: 13 MB
% 0.26/0.34  % (187606)Instructions burned: 32 (million)
% 0.26/0.34  % (187598)Success in time 0.048 s
% 0.26/0.34  % Vampire exiting
%------------------------------------------------------------------------------