TSTP Solution File: SWW541_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW541_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 : Tue May 21 07:01:13 EDT 2024

% Result   : Theorem 0.70s 0.86s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   69
% Syntax   : Number of formulae    :  101 (  15 unt;  58 typ;   0 def)
%            Number of atoms       :   87 (  47 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   78 (  34   ~;  22   |;   6   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 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  :   57 (  39   >;  18   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  16 usr;   3 prp; 0-3 aty)
%            Number of functors    :   40 (  40 usr;   6 con; 0-5 aty)
%            Number of variables   :  138 (  83   !;  15   ?; 138   :)
%                                         (  40  !>;   0  ?*;   0  @-;   0  @+)

% 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) > X0 ) ).

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

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

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

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

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

tff(func_def_27,type,
    sK6: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).

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

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

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

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

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

tff(func_def_33,type,
    sK12: fun(nat,bool) > nat ).

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

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

tff(func_def_36,type,
    sK15: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_37,type,
    sK16: int > 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(f1129,plain,
    $false,
    inference(avatar_sat_refutation,[],[f992,f997,f1056]) ).

tff(f1056,plain,
    ~ spl17_7,
    inference(avatar_contradiction_clause,[],[f1055]) ).

tff(f1055,plain,
    ( $false
    | ~ spl17_7 ),
    inference(subsumption_resolution,[],[f1020,f429]) ).

tff(f429,plain,
    ! [X1: nat] : ~ ord_less(nat,X1,zero_zero(nat)),
    inference(equality_resolution,[],[f325]) ).

tff(f325,plain,
    ! [X0: nat,X1: nat] :
      ( ( zero_zero(nat) != X0 )
      | ~ ord_less(nat,X1,X0) ),
    inference(cnf_transformation,[],[f219]) ).

tff(f219,plain,
    ! [X0: nat,X1: nat] :
      ( ( zero_zero(nat) != X0 )
      | ~ ord_less(nat,X1,X0) ),
    inference(ennf_transformation,[],[f152]) ).

tff(f152,plain,
    ! [X0: nat,X1: nat] :
      ( ord_less(nat,X1,X0)
     => ( zero_zero(nat) != X0 ) ),
    inference(rectify,[],[f11]) ).

tff(f11,axiom,
    ! [X20: nat,X22: nat] :
      ( ord_less(nat,X22,X20)
     => ( zero_zero(nat) != X20 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_gr__implies__not0) ).

tff(f1020,plain,
    ( ord_less(nat,zero_zero(nat),zero_zero(nat))
    | ~ spl17_7 ),
    inference(backward_demodulation,[],[f295,f1001]) ).

tff(f1001,plain,
    ( ( zero_zero(nat) = huffma945805758height(a1,t_1) )
    | ~ spl17_7 ),
    inference(superposition,[],[f301,f988]) ).

tff(f988,plain,
    ( ( t_1 = huffma2021818691e_Leaf(a1,sK5(a1,t_1),sK6(a1,t_1)) )
    | ~ spl17_7 ),
    inference(avatar_component_clause,[],[f986]) ).

tff(f986,plain,
    ( spl17_7
  <=> ( t_1 = huffma2021818691e_Leaf(a1,sK5(a1,t_1),sK6(a1,t_1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).

tff(f301,plain,
    ! [X0: $tType,X2: nat,X1: X0] : ( zero_zero(nat) = huffma945805758height(X0,huffma2021818691e_Leaf(X0,X2,X1)) ),
    inference(cnf_transformation,[],[f135]) ).

tff(f135,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',fact_18_height_Osimps_I1_J) ).

tff(f295,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',conj_0) ).

tff(f997,plain,
    ~ spl17_8,
    inference(avatar_contradiction_clause,[],[f996]) ).

tff(f996,plain,
    ( $false
    | ~ spl17_8 ),
    inference(trivial_inequality_removal,[],[f995]) ).

tff(f995,plain,
    ( ( huffma1401021291ibling(a1,t_1,a) != huffma1401021291ibling(a1,t_1,a) )
    | ~ spl17_8 ),
    inference(superposition,[],[f297,f991]) ).

tff(f991,plain,
    ( ! [X0: nat,X1: huffma1450048681e_tree(a1)] : ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) )
    | ~ spl17_8 ),
    inference(avatar_component_clause,[],[f990]) ).

tff(f990,plain,
    ( spl17_8
  <=> ! [X0: nat,X1: huffma1450048681e_tree(a1)] : ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

tff(f297,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',conj_2) ).

tff(f992,plain,
    ( spl17_7
    | spl17_8 ),
    inference(avatar_split_clause,[],[f974,f990,f986]) ).

tff(f974,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a1)] :
      ( ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) )
      | ( t_1 = huffma2021818691e_Leaf(a1,sK5(a1,t_1),sK6(a1,t_1)) ) ),
    inference(resolution,[],[f860,f296]) ).

tff(f296,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',conj_1) ).

tff(f860,plain,
    ! [X0: $tType,X2: nat,X3: huffma1450048681e_tree(X0),X1: huffma1450048681e_tree(X0),X4: X0] :
      ( ~ member(X0,X4,huffma675207370phabet(X0,X1))
      | ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X1,X3),X4) = huffma1401021291ibling(X0,X1,X4) )
      | ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
    inference(superposition,[],[f336,f346]) ).

tff(f346,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ( huffma1146269203erNode(X0,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 )
      | ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
    inference(cnf_transformation,[],[f258]) ).

tff(f258,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ( huffma1146269203erNode(X0,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 )
      | ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f255,f257,f256]) ).

tff(f256,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,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f257,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 )
     => ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f255,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,[],[f225]) ).

tff(f225,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,[],[f165]) ).

tff(f165,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',fact_35_tree_Oexhaust) ).

tff(f336,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,[],[f222]) ).

tff(f222,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,[],[f161]) ).

tff(f161,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',fact_2_sibling_Osimps_I3_J) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW541_5 : TPTP v8.2.0. Released v6.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 19:37:22 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF1_THM_EQU_NAR problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.82  % (11661)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.59/0.82  % (11660)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.59/0.82  % (11659)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.59/0.82  % (11658)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.59/0.82  % (11657)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.59/0.82  % (11662)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.59/0.82  % (11656)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.59/0.82  % (11655)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.59/0.82  % (11661)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.59/0.83  % (11661)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.59/0.83  % (11662)Refutation not found, incomplete strategy% (11662)------------------------------
% 0.59/0.83  % (11662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (11662)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83  
% 0.59/0.83  % (11662)Memory used [KB]: 1165
% 0.59/0.83  % (11662)Time elapsed: 0.005 s
% 0.59/0.83  % (11662)Instructions burned: 8 (million)
% 0.59/0.83  % (11662)------------------------------
% 0.59/0.83  % (11662)------------------------------
% 0.59/0.83  % (11660)Refutation not found, incomplete strategy% (11660)------------------------------
% 0.59/0.83  % (11660)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (11660)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83  
% 0.59/0.83  % (11660)Memory used [KB]: 1183
% 0.59/0.83  % (11660)Time elapsed: 0.006 s
% 0.59/0.83  % (11660)Instructions burned: 10 (million)
% 0.59/0.83  % (11660)------------------------------
% 0.59/0.83  % (11660)------------------------------
% 0.59/0.83  % (11659)Refutation not found, incomplete strategy% (11659)------------------------------
% 0.59/0.83  % (11659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (11659)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83  
% 0.59/0.83  % (11659)Memory used [KB]: 1343
% 0.59/0.83  % (11659)Time elapsed: 0.008 s
% 0.59/0.83  % (11659)Instructions burned: 14 (million)
% 0.59/0.83  % (11659)------------------------------
% 0.59/0.83  % (11659)------------------------------
% 0.59/0.83  % (11655)Refutation not found, incomplete strategy% (11655)------------------------------
% 0.59/0.83  % (11655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (11655)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83  
% 0.59/0.83  % (11655)Memory used [KB]: 1200
% 0.59/0.83  % (11655)Time elapsed: 0.009 s
% 0.59/0.83  % (11655)Instructions burned: 13 (million)
% 0.59/0.83  % (11655)------------------------------
% 0.59/0.83  % (11655)------------------------------
% 0.59/0.83  % (11664)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.59/0.83  % (11665)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.59/0.83  % (11663)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.59/0.84  % (11666)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.59/0.84  % (11658)Instruction limit reached!
% 0.59/0.84  % (11658)------------------------------
% 0.59/0.84  % (11658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (11658)Termination reason: Unknown
% 0.59/0.84  % (11658)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (11658)Memory used [KB]: 1510
% 0.59/0.84  % (11658)Time elapsed: 0.018 s
% 0.59/0.84  % (11658)Instructions burned: 34 (million)
% 0.59/0.84  % (11658)------------------------------
% 0.59/0.84  % (11658)------------------------------
% 0.70/0.85  % (11667)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.70/0.85  % (11656)Instruction limit reached!
% 0.70/0.85  % (11656)------------------------------
% 0.70/0.85  % (11656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (11656)Termination reason: Unknown
% 0.70/0.85  % (11656)Termination phase: Saturation
% 0.70/0.85  
% 0.70/0.85  % (11656)Memory used [KB]: 1519
% 0.70/0.85  % (11656)Time elapsed: 0.028 s
% 0.70/0.85  % (11656)Instructions burned: 51 (million)
% 0.70/0.85  % (11656)------------------------------
% 0.70/0.85  % (11656)------------------------------
% 0.70/0.85  % (11657)First to succeed.
% 0.70/0.85  % (11667)Refutation not found, incomplete strategy% (11667)------------------------------
% 0.70/0.85  % (11667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (11667)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (11667)Memory used [KB]: 1260
% 0.70/0.85  % (11657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11654"
% 0.70/0.85  % (11667)Time elapsed: 0.008 s
% 0.70/0.85  % (11667)Instructions burned: 13 (million)
% 0.70/0.85  % (11667)------------------------------
% 0.70/0.85  % (11667)------------------------------
% 0.70/0.86  % (11657)Refutation found. Thanks to Tanya!
% 0.70/0.86  % SZS status Theorem for theBenchmark
% 0.70/0.86  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.86  % (11657)------------------------------
% 0.70/0.86  % (11657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (11657)Termination reason: Refutation
% 0.70/0.86  
% 0.70/0.86  % (11657)Memory used [KB]: 1505
% 0.70/0.86  % (11657)Time elapsed: 0.033 s
% 0.70/0.86  % (11657)Instructions burned: 63 (million)
% 0.70/0.86  % (11654)Success in time 0.477 s
% 0.70/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------