TSTP Solution File: SWW541_5 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW541_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n022.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 18:33:27 EDT 2024

% Result   : Theorem 0.22s 0.46s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   46 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :   90 (  39 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   76 (  32   ~;  23   |;   6   &)
%                                         (   3 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;   4 prp; 0-3 aty)
%            Number of functors    :   38 (  38 usr;   6 con; 0-5 aty)
%            Number of variables   :   86 (  71   !;  15   ?;  86   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    a1: $tType ).

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

tff(type_def_7,type,
    huffma1450048681e_tree: $tType > $tType ).

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

tff(type_def_9,type,
    nat: $tType ).

tff(type_def_10,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1,type,
    huffma675207370phabet: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > fun(X0,bool) ) ).

tff(func_def_2,type,
    huffma1134658180e_cost: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).

tff(func_def_3,type,
    huffma410068972_depth: 
      !>[X0: $tType] : ( ( huffma1450048681e_tree(X0) * X0 ) > nat ) ).

tff(func_def_4,type,
    huffma1352802255e_freq: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > fun(X0,nat) ) ).

tff(func_def_5,type,
    huffma945805758height: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).

tff(func_def_6,type,
    huffma1401021291ibling: 
      !>[X0: $tType] : ( ( huffma1450048681e_tree(X0) * X0 ) > X0 ) ).

tff(func_def_7,type,
    huffma1146269203erNode: 
      !>[X0: $tType] : ( ( nat * huffma1450048681e_tree(X0) * huffma1450048681e_tree(X0) ) > huffma1450048681e_tree(X0) ) ).

tff(func_def_8,type,
    huffma2021818691e_Leaf: 
      !>[X0: $tType] : ( ( nat * X0 ) > huffma1450048681e_tree(X0) ) ).

tff(func_def_9,type,
    huffma107959123e_case: 
      !>[X0: $tType,X1: $tType] : ( ( fun(nat,fun(X0,X1)) * fun(nat,fun(huffma1450048681e_tree(X0),fun(huffma1450048681e_tree(X0),X1))) * huffma1450048681e_tree(X0) ) > X1 ) ).

tff(func_def_10,type,
    huffma1280178957ee_rec: 
      !>[X0: $tType,X1: $tType] : ( ( fun(nat,fun(X0,X1)) * fun(nat,fun(huffma1450048681e_tree(X0),fun(huffma1450048681e_tree(X0),fun(X1,fun(X1,X1))))) * huffma1450048681e_tree(X0) ) > X1 ) ).

tff(func_def_11,type,
    if: 
      !>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).

tff(func_def_12,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_13,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_14,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_15,type,
    fFalse: bool ).

tff(func_def_16,type,
    fTrue: bool ).

tff(func_def_17,type,
    a: a1 ).

tff(func_def_18,type,
    t_1: huffma1450048681e_tree(a1) ).

tff(func_def_19,type,
    t_2: huffma1450048681e_tree(a1) ).

tff(func_def_20,type,
    w: nat ).

tff(func_def_21,type,
    sK0: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).

tff(func_def_22,type,
    sK1: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).

tff(func_def_23,type,
    sK2: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).

tff(func_def_24,type,
    sK3: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).

tff(func_def_25,type,
    sK4: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).

tff(func_def_26,type,
    sK5: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).

tff(func_def_27,type,
    sK6: fun(nat,bool) > nat ).

tff(func_def_28,type,
    sK7: ( nat * fun(nat,bool) ) > nat ).

tff(func_def_29,type,
    sK8: fun(int,bool) > int ).

tff(func_def_30,type,
    sK9: fun(int,bool) > nat ).

tff(func_def_31,type,
    sK10: fun(int,bool) > nat ).

tff(func_def_32,type,
    sK11: fun(int,bool) > int ).

tff(func_def_33,type,
    sK12: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_34,type,
    sK13: fun(nat,nat) > nat ).

tff(func_def_35,type,
    sK14: fun(nat,nat) > nat ).

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

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

tff(pred_def_3,type,
    order: 
      !>[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,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_9,type,
    huffma1518433673istent: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).

tff(pred_def_10,type,
    huffma1393970616ptimum: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).

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

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

tff(pred_def_13,type,
    member: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_14,type,
    pp: bool > $o ).

tff(pred_def_15,type,
    sP15: a1 > $o ).

tff(f748,plain,
    $false,
    inference(avatar_sat_refutation,[],[f591,f612,f614,f747]) ).

tff(f747,plain,
    ~ spl16_4,
    inference(avatar_contradiction_clause,[],[f743]) ).

tff(f743,plain,
    ( $false
    | ~ spl16_4 ),
    inference(resolution,[],[f740,f296]) ).

tff(f296,plain,
    ! [X0: nat] : ~ ord_less(nat,X0,zero_zero(nat)),
    inference(cnf_transformation,[],[f159]) ).

tff(f159,plain,
    ! [X0: nat] : ~ ord_less(nat,X0,zero_zero(nat)),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ! [X20: nat] : ~ ord_less(nat,X20,zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f740,plain,
    ( ord_less(nat,zero_zero(nat),zero_zero(nat))
    | ~ spl16_4 ),
    inference(backward_demodulation,[],[f251,f725]) ).

tff(f725,plain,
    ( ( zero_zero(nat) = huffma945805758height(a1,t_1) )
    | ~ spl16_4 ),
    inference(superposition,[],[f274,f611]) ).

tff(f611,plain,
    ( ( t_1 = huffma2021818691e_Leaf(a1,sK3(a1,t_1),sK4(a1,t_1)) )
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f609]) ).

tff(f609,plain,
    ( spl16_4
  <=> ( t_1 = huffma2021818691e_Leaf(a1,sK3(a1,t_1),sK4(a1,t_1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

tff(f274,plain,
    ! [X0: $tType,X2: nat,X1: X0] : ( zero_zero(nat) = huffma945805758height(X0,huffma2021818691e_Leaf(X0,X2,X1)) ),
    inference(cnf_transformation,[],[f145]) ).

tff(f145,plain,
    ! [X0: $tType,X1: X0,X2: nat] : ( zero_zero(nat) = huffma945805758height(X0,huffma2021818691e_Leaf(X0,X2,X1)) ),
    inference(rectify,[],[f19]) ).

tff(f19,axiom,
    ! [X0: $tType,X17: X0,X30: nat] : ( zero_zero(nat) = huffma945805758height(X0,huffma2021818691e_Leaf(X0,X30,X17)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f251,plain,
    ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)),
    inference(cnf_transformation,[],[f128]) ).

tff(f128,axiom,
    ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f614,plain,
    spl16_3,
    inference(avatar_contradiction_clause,[],[f613]) ).

tff(f613,plain,
    ( $false
    | spl16_3 ),
    inference(resolution,[],[f587,f337]) ).

tff(f337,plain,
    sP15(huffma1401021291ibling(a1,t_1,a)),
    inference(inequality_splitting,[],[f249,f336]) ).

tff(f336,plain,
    ~ sP15(huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP15])]) ).

tff(f249,plain,
    huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a),
    inference(cnf_transformation,[],[f132]) ).

tff(f132,plain,
    huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a),
    inference(flattening,[],[f131]) ).

tff(f131,negated_conjecture,
    ( ~ huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_1,a) ),
    inference(negated_conjecture,[],[f130]) ).

tff(f130,conjecture,
    huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_1,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f587,plain,
    ( ~ sP15(huffma1401021291ibling(a1,t_1,a))
    | spl16_3 ),
    inference(avatar_component_clause,[],[f585]) ).

tff(f585,plain,
    ( spl16_3
  <=> sP15(huffma1401021291ibling(a1,t_1,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

tff(f612,plain,
    ( spl16_4
    | ~ spl16_2
    | ~ spl16_3 ),
    inference(avatar_split_clause,[],[f600,f585,f581,f609]) ).

tff(f581,plain,
    ( spl16_2
  <=> member(a1,a,huffma675207370phabet(a1,t_1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

tff(f600,plain,
    ( ~ sP15(huffma1401021291ibling(a1,t_1,a))
    | ~ member(a1,a,huffma675207370phabet(a1,t_1))
    | ( t_1 = huffma2021818691e_Leaf(a1,sK3(a1,t_1),sK4(a1,t_1)) ) ),
    inference(superposition,[],[f336,f428]) ).

tff(f428,plain,
    ! [X0: $tType,X2: nat,X3: huffma1450048681e_tree(X0),X1: huffma1450048681e_tree(X0),X4: X0] :
      ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X1,X3),X4) = huffma1401021291ibling(X0,X1,X4) )
      | ~ member(X0,X4,huffma675207370phabet(X0,X1))
      | ( huffma2021818691e_Leaf(X0,sK3(X0,X1),sK4(X0,X1)) = X1 ) ),
    inference(superposition,[],[f252,f270]) ).

tff(f270,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ( huffma1146269203erNode(X0,sK0(X0,X1),sK1(X0,X1),sK2(X0,X1)) = X1 )
      | ( huffma2021818691e_Leaf(X0,sK3(X0,X1),sK4(X0,X1)) = X1 ) ),
    inference(cnf_transformation,[],[f217]) ).

tff(f217,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ( huffma1146269203erNode(X0,sK0(X0,X1),sK1(X0,X1),sK2(X0,X1)) = X1 )
      | ( huffma2021818691e_Leaf(X0,sK3(X0,X1),sK4(X0,X1)) = X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f214,f216,f215]) ).

tff(f215,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X2,X3,X4) = X1 )
     => ( huffma1146269203erNode(X0,sK0(X0,X1),sK1(X0,X1),sK2(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f216,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 )
     => ( huffma2021818691e_Leaf(X0,sK3(X0,X1),sK4(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f214,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X2,X3,X4) = X1 )
      | ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 ) ),
    inference(rectify,[],[f185]) ).

tff(f185,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) = X1 )
      | ? [X2: nat,X3: X0] : ( huffma2021818691e_Leaf(X0,X2,X3) = X1 ) ),
    inference(ennf_transformation,[],[f142]) ).

tff(f142,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ! [X2: nat,X3: X0] : ( huffma2021818691e_Leaf(X0,X2,X3) != X1 )
     => ~ ! [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) != X1 ) ),
    inference(rectify,[],[f36]) ).

tff(f36,axiom,
    ! [X0: $tType,X41: huffma1450048681e_tree(X0)] :
      ( ! [X43: nat,X26: X0] : ( huffma2021818691e_Leaf(X0,X43,X26) != X41 )
     => ~ ! [X43: nat,X44: huffma1450048681e_tree(X0),X45: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X43,X44,X45) != X41 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f252,plain,
    ! [X0: $tType,X2: nat,X3: huffma1450048681e_tree(X0),X1: huffma1450048681e_tree(X0),X6: X0,X4: huffma1450048681e_tree(X0),X5: nat] :
      ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X5,X4,X3),X6) )
      | ~ member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3))) ),
    inference(cnf_transformation,[],[f180]) ).

tff(f180,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0),X5: nat,X6: X0] :
      ( ( ( ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = X6 )
            | member(X0,X6,huffma675207370phabet(X0,X1)) )
          & ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,X1,X6) )
            | ~ member(X0,X6,huffma675207370phabet(X0,X1)) ) )
        | member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3))) )
      & ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X5,X4,X3),X6) )
        | ~ member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3))) ) ),
    inference(ennf_transformation,[],[f133]) ).

tff(f133,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0),X5: nat,X6: X0] :
      ( ( ~ member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3)))
       => ( ( ~ member(X0,X6,huffma675207370phabet(X0,X1))
           => ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = X6 ) )
          & ( member(X0,X6,huffma675207370phabet(X0,X1))
           => ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,X1,X6) ) ) ) )
      & ( member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3)))
       => ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X5,X4,X3),X6) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X2: $tType,X15: huffma1450048681e_tree(X2),X12: nat,X9: huffma1450048681e_tree(X2),X10: huffma1450048681e_tree(X2),X11: nat,X14: X2] :
      ( ( ~ member(X2,X14,huffma675207370phabet(X2,huffma1146269203erNode(X2,X11,X10,X9)))
       => ( ( ~ member(X2,X14,huffma675207370phabet(X2,X15))
           => ( huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,huffma1146269203erNode(X2,X11,X10,X9),X15),X14) = X14 ) )
          & ( member(X2,X14,huffma675207370phabet(X2,X15))
           => ( huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,huffma1146269203erNode(X2,X11,X10,X9),X15),X14) = huffma1401021291ibling(X2,X15,X14) ) ) ) )
      & ( member(X2,X14,huffma675207370phabet(X2,huffma1146269203erNode(X2,X11,X10,X9)))
       => ( huffma1401021291ibling(X2,huffma1146269203erNode(X2,X11,X10,X9),X14) = huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,huffma1146269203erNode(X2,X11,X10,X9),X15),X14) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f591,plain,
    spl16_2,
    inference(avatar_contradiction_clause,[],[f589]) ).

tff(f589,plain,
    ( $false
    | spl16_2 ),
    inference(resolution,[],[f583,f250]) ).

tff(f250,plain,
    member(a1,a,huffma675207370phabet(a1,t_1)),
    inference(cnf_transformation,[],[f129]) ).

tff(f129,axiom,
    member(a1,a,huffma675207370phabet(a1,t_1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f583,plain,
    ( ~ member(a1,a,huffma675207370phabet(a1,t_1))
    | spl16_2 ),
    inference(avatar_component_clause,[],[f581]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWW541_5 : TPTP v8.2.0. Released v6.0.0.
% 0.08/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Wed Jun 19 05:55:09 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.37  This is a TF1_THM_EQU_NAR problem
% 0.12/0.37  Running first-order theorem proving
% 0.12/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.44  % (9604)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (9618)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.22/0.44  % (9604)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (9614)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.44  % (9604)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (9617)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.44  % (9604)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (9613)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.44  % (9604)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (9615)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.22/0.44  % (9604)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (9616)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.22/0.44  % (9604)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (9619)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.22/0.46  % (9618)First to succeed.
% 0.22/0.46  % (9618)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9604"
% 0.22/0.46  % (9604)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (9618)Refutation found. Thanks to Tanya!
% 0.22/0.46  % SZS status Theorem for theBenchmark
% 0.22/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46  % (9618)------------------------------
% 0.22/0.46  % (9618)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.46  % (9618)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.46  % (9618)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (9618)Memory used [KB]: 1444
% 0.22/0.46  % (9618)Time elapsed: 0.023 s
% 0.22/0.46  % (9618)Instructions burned: 32 (million)
% 0.22/0.46  % (9618)------------------------------
% 0.22/0.46  % (9618)------------------------------
% 0.22/0.46  % (9604)Success in time 0.085 s
%------------------------------------------------------------------------------