TSTP Solution File: SWW624_2 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW624_2 : TPTP v8.1.2. Released v6.1.0.
% 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 : n026.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 : Wed May  1 04:20:22 EDT 2024

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  113 (  19 unt;  45 typ;   0 def)
%            Number of atoms       :  133 (  28 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  118 (  53   ~;  43   |;   9   &)
%                                         (   4 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number arithmetic     :  144 (  32 atm;  31 fun;  61 num;  20 var)
%            Number of types       :    8 (   6 usr;   1 ari)
%            Number of type conns  :   61 (  28   >;  33   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :   40 (  34 usr;  14 con; 0-5 aty)
%            Number of variables   :   99 (  95   !;   4   ?;  99   :)

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

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

tff(type_def_7,type,
    bool: $tType ).

tff(type_def_8,type,
    tuple0: $tType ).

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

tff(type_def_10,type,
    list_elt: $tType ).

tff(func_def_0,type,
    witness: ty > uni ).

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool1: ty ).

tff(func_def_4,type,
    true: bool ).

tff(func_def_5,type,
    false: bool ).

tff(func_def_6,type,
    match_bool: ( ty * bool * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple01: ty ).

tff(func_def_8,type,
    tuple02: tuple0 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    list: ty > ty ).

tff(func_def_13,type,
    nil: ty > uni ).

tff(func_def_14,type,
    cons: ( ty * uni * uni ) > uni ).

tff(func_def_15,type,
    match_list: ( ty * ty * uni * uni * uni ) > uni ).

tff(func_def_16,type,
    cons_proj_1: ( ty * uni ) > uni ).

tff(func_def_17,type,
    cons_proj_2: ( ty * uni ) > uni ).

tff(func_def_18,type,
    length: ( ty * uni ) > $int ).

tff(func_def_21,type,
    infix_plpl: ( ty * uni * uni ) > uni ).

tff(func_def_22,type,
    num_occ: ( ty * uni * uni ) > $int ).

tff(func_def_23,type,
    reverse: ( ty * uni ) > uni ).

tff(func_def_24,type,
    elt1: ty ).

tff(func_def_25,type,
    t2tb: list_elt > uni ).

tff(func_def_26,type,
    tb2t: uni > list_elt ).

tff(func_def_27,type,
    t2tb1: elt > uni ).

tff(func_def_28,type,
    tb2t1: uni > elt ).

tff(func_def_29,type,
    rev_append: ( ty * uni * uni ) > uni ).

tff(func_def_30,type,
    prefix: ( ty * $int * uni ) > uni ).

tff(func_def_32,type,
    abs: $int > $int ).

tff(func_def_34,type,
    div: ( $int * $int ) > $int ).

tff(func_def_35,type,
    mod: ( $int * $int ) > $int ).

tff(func_def_36,type,
    sK0: elt ).

tff(func_def_37,type,
    sK1: list_elt ).

tff(func_def_38,type,
    sK2: ( ty * uni * uni ) > uni ).

tff(func_def_39,type,
    sK3: ( ty * uni * uni ) > uni ).

tff(pred_def_1,type,
    sort: ( ty * uni ) > $o ).

tff(pred_def_3,type,
    mem: ( ty * uni * uni ) > $o ).

tff(pred_def_5,type,
    permut: ( ty * uni * uni ) > $o ).

tff(pred_def_6,type,
    le: ( elt * elt ) > $o ).

tff(pred_def_7,type,
    sorted: list_elt > $o ).

tff(f530,plain,
    $false,
    inference(avatar_sat_refutation,[],[f311,f457,f519]) ).

tff(f519,plain,
    spl4_1,
    inference(avatar_contradiction_clause,[],[f518]) ).

tff(f518,plain,
    ( $false
    | spl4_1 ),
    inference(evaluation,[],[f497]) ).

tff(f497,plain,
    ( ~ $less(0,$sum(1,0))
    | spl4_1 ),
    inference(superposition,[],[f306,f490]) ).

tff(f490,plain,
    ( ( 0 = length(elt1,t2tb(sK1)) )
    | spl4_1 ),
    inference(subsumption_resolution,[],[f486,f239]) ).

tff(f239,plain,
    ! [X0: ty,X1: uni] : ~ $less(length(X0,X1),0),
    inference(cnf_transformation,[],[f156]) ).

tff(f156,plain,
    ! [X0: ty,X1: uni] : ~ $less(length(X0,X1),0),
    inference(rectify,[],[f104]) ).

tff(f104,plain,
    ! [X0: ty,X12: uni] : ~ $less(length(X0,X12),0),
    inference(theory_normalization,[],[f21]) ).

tff(f21,axiom,
    ! [X0: ty,X12: uni] : $lesseq(0,length(X0,X12)),
    file('/export/starexec/sandbox2/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052',length_nonnegative) ).

tff(f486,plain,
    ( $less(length(elt1,t2tb(sK1)),0)
    | ( 0 = length(elt1,t2tb(sK1)) )
    | spl4_1 ),
    inference(resolution,[],[f485,f128]) ).

tff(f128,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f485,plain,
    ( ~ $less(0,length(elt1,t2tb(sK1)))
    | spl4_1 ),
    inference(evaluation,[],[f483]) ).

tff(f483,plain,
    ( ~ $less(0,length(elt1,t2tb(sK1)))
    | ~ $less(0,1)
    | spl4_1 ),
    inference(superposition,[],[f473,f123]) ).

tff(f123,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f473,plain,
    ( ! [X0: $int] :
        ( ~ $less(0,$sum(length(elt1,t2tb(sK1)),X0))
        | ~ $less(X0,1) )
    | spl4_1 ),
    inference(superposition,[],[f464,f121]) ).

tff(f121,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f464,plain,
    ( ! [X0: $int] :
        ( ~ $less(0,$sum(X0,length(elt1,t2tb(sK1))))
        | ~ $less(X0,1) )
    | spl4_1 ),
    inference(resolution,[],[f459,f129]) ).

tff(f129,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_145,[]) ).

tff(f459,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,$sum(1,length(elt1,t2tb(sK1))))
        | ~ $less(0,X0) )
    | spl4_1 ),
    inference(resolution,[],[f306,f127]) ).

tff(f127,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X0,X2)
      | ~ $less(X1,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_143,[]) ).

tff(f306,plain,
    ( ~ $less(0,$sum(1,length(elt1,t2tb(sK1))))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f304]) ).

tff(f304,plain,
    ( spl4_1
  <=> $less(0,$sum(1,length(elt1,t2tb(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f457,plain,
    spl4_2,
    inference(avatar_contradiction_clause,[],[f456]) ).

tff(f456,plain,
    ( $false
    | spl4_2 ),
    inference(subsumption_resolution,[],[f451,f293]) ).

tff(f293,plain,
    permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)),
    inference(subsumption_resolution,[],[f292,f229]) ).

tff(f229,plain,
    ! [X0: ty,X1: uni] : permut(X0,X1,X1),
    inference(cnf_transformation,[],[f148]) ).

tff(f148,plain,
    ! [X0: ty,X1: uni] : permut(X0,X1,X1),
    inference(rectify,[],[f43]) ).

tff(f43,axiom,
    ! [X0: ty,X12: uni] : permut(X0,X12,X12),
    file('/export/starexec/sandbox2/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052',permut_refl) ).

tff(f292,plain,
    ( ~ permut(elt1,nil(elt1),nil(elt1))
    | permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) ),
    inference(forward_demodulation,[],[f291,f246]) ).

tff(f246,plain,
    ! [X0: ty,X1: uni] : ( nil(X0) = prefix(X0,0,X1) ),
    inference(cnf_transformation,[],[f163]) ).

tff(f163,plain,
    ! [X0: ty,X1: uni] : ( nil(X0) = prefix(X0,0,X1) ),
    inference(rectify,[],[f80]) ).

tff(f80,axiom,
    ! [X0: ty,X12: uni] : ( nil(X0) = prefix(X0,0,X12) ),
    file('/export/starexec/sandbox2/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052',prefix_def1) ).

tff(f291,plain,
    ( ~ permut(elt1,prefix(elt1,0,nil(elt1)),nil(elt1))
    | permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) ),
    inference(forward_demodulation,[],[f219,f282]) ).

tff(f282,plain,
    ! [X0: ty] : ( 0 = length(X0,nil(X0)) ),
    inference(equality_resolution,[],[f238]) ).

tff(f238,plain,
    ! [X0: ty,X1: uni] :
      ( ( 0 = length(X0,X1) )
      | ( nil(X0) != X1 ) ),
    inference(cnf_transformation,[],[f211]) ).

tff(f211,plain,
    ! [X0: ty,X1: uni] :
      ( ( ( 0 = length(X0,X1) )
        | ( nil(X0) != X1 ) )
      & ( ( nil(X0) = X1 )
        | ( 0 != length(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f155]) ).

tff(f155,plain,
    ! [X0: ty,X1: uni] :
      ( ( 0 = length(X0,X1) )
    <=> ( nil(X0) = X1 ) ),
    inference(rectify,[],[f22]) ).

tff(f22,axiom,
    ! [X0: ty,X12: uni] :
      ( ( 0 = length(X0,X12) )
    <=> ( nil(X0) = X12 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052',length_nil) ).

tff(f219,plain,
    ( permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))
    | ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
    inference(cnf_transformation,[],[f210]) ).

tff(f210,plain,
    ( ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
      & permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) )
    | ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f180,f209]) ).

tff(f209,plain,
    ( ? [X0: elt,X1: list_elt] :
        ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1)))
        & permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1)) )
   => ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
      & permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f180,plain,
    ( ? [X0: elt,X1: list_elt] :
        ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1)))
        & permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1)) )
    | ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
    inference(ennf_transformation,[],[f139]) ).

tff(f139,plain,
    ~ ( ! [X0: elt,X1: list_elt] :
          ( permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1))
         => permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))) )
      & permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
    inference(rectify,[],[f102]) ).

tff(f102,negated_conjecture,
    ~ ( ! [X1: elt,X2: list_elt] :
          ( permut(elt1,prefix(elt1,length(elt1,t2tb(X2)),t2tb(X2)),t2tb(X2))
         => permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))) )
      & permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
    inference(negated_conjecture,[],[f101]) ).

tff(f101,conjecture,
    ( ! [X1: elt,X2: list_elt] :
        ( permut(elt1,prefix(elt1,length(elt1,t2tb(X2)),t2tb(X2)),t2tb(X2))
       => permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))) )
    & permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052',permut_prefix) ).

tff(f451,plain,
    ( ~ permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))
    | spl4_2 ),
    inference(resolution,[],[f310,f226]) ).

tff(f226,plain,
    ! [X2: uni,X3: uni,X0: ty,X1: uni] :
      ( permut(X0,cons(X0,X1,X2),cons(X0,X1,X3))
      | ~ permut(X0,X2,X3) ),
    inference(cnf_transformation,[],[f183]) ).

tff(f183,plain,
    ! [X0: ty,X1: uni,X2: uni,X3: uni] :
      ( permut(X0,cons(X0,X1,X2),cons(X0,X1,X3))
      | ~ permut(X0,X2,X3) ),
    inference(ennf_transformation,[],[f145]) ).

tff(f145,plain,
    ! [X0: ty,X1: uni,X2: uni,X3: uni] :
      ( permut(X0,X2,X3)
     => permut(X0,cons(X0,X1,X2),cons(X0,X1,X3)) ),
    inference(rectify,[],[f46]) ).

tff(f46,axiom,
    ! [X0: ty,X1: uni,X14: uni,X13: uni] :
      ( permut(X0,X14,X13)
     => permut(X0,cons(X0,X1,X14),cons(X0,X1,X13)) ),
    file('/export/starexec/sandbox2/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052',permut_cons) ).

tff(f310,plain,
    ( ~ permut(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f308]) ).

tff(f308,plain,
    ( spl4_2
  <=> permut(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f311,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f302,f308,f304]) ).

tff(f302,plain,
    ( ~ permut(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
    | ~ $less(0,$sum(1,length(elt1,t2tb(sK1)))) ),
    inference(evaluation,[],[f301]) ).

tff(f301,plain,
    ( ~ permut(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,$sum($sum(1,length(elt1,t2tb(sK1))),-1),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
    | ~ $less(0,$sum(1,length(elt1,t2tb(sK1)))) ),
    inference(superposition,[],[f290,f285]) ).

tff(f285,plain,
    ! [X2: uni,X3: uni,X0: ty,X1: $int] :
      ( ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,-1),X3)) )
      | ~ $less(0,X1) ),
    inference(evaluation,[],[f245]) ).

tff(f245,plain,
    ! [X2: uni,X3: uni,X0: ty,X1: $int] :
      ( ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) )
      | ~ $less(0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

tff(f192,plain,
    ! [X0: ty,X1: $int,X2: uni,X3: uni] :
      ( ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) )
      | ~ $less(0,X1) ),
    inference(ennf_transformation,[],[f162]) ).

tff(f162,plain,
    ! [X0: ty,X1: $int,X2: uni,X3: uni] :
      ( $less(0,X1)
     => ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) ) ),
    inference(rectify,[],[f105]) ).

tff(f105,plain,
    ! [X0: ty,X24: $int,X1: uni,X12: uni] :
      ( $less(0,X24)
     => ( prefix(X0,X24,cons(X0,X1,X12)) = cons(X0,X1,prefix(X0,$sum(X24,$uminus(1)),X12)) ) ),
    inference(theory_normalization,[],[f81]) ).

tff(f81,axiom,
    ! [X0: ty,X24: $int,X1: uni,X12: uni] :
      ( $less(0,X24)
     => ( prefix(X0,X24,cons(X0,X1,X12)) = cons(X0,X1,prefix(X0,$difference(X24,1),X12)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052',prefix_def2) ).

tff(f290,plain,
    ~ permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),
    inference(subsumption_resolution,[],[f289,f229]) ).

tff(f289,plain,
    ( ~ permut(elt1,nil(elt1),nil(elt1))
    | ~ permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) ),
    inference(forward_demodulation,[],[f288,f246]) ).

tff(f288,plain,
    ( ~ permut(elt1,prefix(elt1,0,nil(elt1)),nil(elt1))
    | ~ permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) ),
    inference(forward_demodulation,[],[f287,f282]) ).

tff(f287,plain,
    ( ~ permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
    | ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
    inference(forward_demodulation,[],[f220,f256]) ).

tff(f256,plain,
    ! [X2: uni,X0: ty,X1: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,axiom,
    ! [X0: ty] :
      ( ! [X1: uni,X2: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) )
      & ( 0 = length(X0,nil(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052',length_def) ).

tff(f220,plain,
    ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
    | ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
    inference(cnf_transformation,[],[f210]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10  % Problem    : SWW624_2 : TPTP v8.1.2. Released v6.1.0.
% 0.04/0.11  % 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
% 0.11/0.31  % Computer : n026.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 18:16:20 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a TF0_THM_EQU_ARI problem
% 0.11/0.31  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/tmp/tmp.fXY7HeORtP/Vampire---4.8_28052
% 0.61/0.80  % (28168)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (28169)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80  % (28166)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.80  % (28167)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 Vampire---4 for (2995ds/51Mi)
% 0.61/0.80  % (28170)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.80  % (28171)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80  % (28172)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 Vampire---4 for (2995ds/83Mi)
% 0.61/0.80  % (28173)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.81  % (28171)First to succeed.
% 0.61/0.82  % (28170)Instruction limit reached!
% 0.61/0.82  % (28170)------------------------------
% 0.61/0.82  % (28170)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (28170)Termination reason: Unknown
% 0.61/0.82  % (28170)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (28170)Memory used [KB]: 1387
% 0.61/0.82  % (28170)Time elapsed: 0.017 s
% 0.61/0.82  % (28170)Instructions burned: 34 (million)
% 0.61/0.82  % (28170)------------------------------
% 0.61/0.82  % (28170)------------------------------
% 0.61/0.82  % (28171)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Theorem for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (28171)------------------------------
% 0.61/0.82  % (28171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (28171)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (28171)Memory used [KB]: 1278
% 0.61/0.82  % (28171)Time elapsed: 0.017 s
% 0.61/0.82  % (28171)Instructions burned: 29 (million)
% 0.61/0.82  % (28171)------------------------------
% 0.61/0.82  % (28171)------------------------------
% 0.61/0.82  % (28163)Success in time 0.486 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------