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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW657_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 01:31:04 PM UTC 2026

% Result   : Theorem 11.20s 2.70s
% Output   : Refutation 13.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  107 (  11 unt;   0 typ;  18 def)
%            Number of atoms       :  368 (  38 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  402 ( 141   ~; 166   |;  60   &)
%                                         (  25 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number arithmetic     :  522 ( 142 atm; 151 fun;  97 num; 132 var)
%            Number of types       :    7 (   5 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   25 (  21 usr;  19 prp; 0-4 aty)
%            Number of functors    :   34 (  31 usr;  14 con; 0-5 aty)
%            Number of variables   :  173 ( 155   !;  18   ?; 173   :)

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

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

tff(type_def_7,type,
    bool1: $tType ).

tff(type_def_8,type,
    tuple02: $tType ).

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

tff(func_def_0,type,
    witness1: ty > uni ).

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool: ty ).

tff(func_def_4,type,
    true1: bool1 ).

tff(func_def_5,type,
    false1: bool1 ).

tff(func_def_6,type,
    match_bool1: ( ty * bool1 * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple0: ty ).

tff(func_def_8,type,
    tuple03: tuple02 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    map: ( ty * ty ) > ty ).

tff(func_def_13,type,
    get: ( ty * ty * uni * uni ) > uni ).

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

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

tff(func_def_16,type,
    array: ty > ty ).

tff(func_def_17,type,
    mk_array1: ( ty * $int * uni ) > uni ).

tff(func_def_18,type,
    length1: ( ty * uni ) > $int ).

tff(func_def_19,type,
    elts: ( ty * uni ) > uni ).

tff(func_def_20,type,
    get2: ( ty * uni * $int ) > uni ).

tff(func_def_21,type,
    t2tb: $int > uni ).

tff(func_def_22,type,
    tb2t: uni > $int ).

tff(func_def_23,type,
    set2: ( ty * uni * $int * uni ) > uni ).

tff(func_def_24,type,
    make1: ( ty * $int * uni ) > uni ).

tff(func_def_25,type,
    t2tb1: array_int > uni ).

tff(func_def_26,type,
    tb2t1: uni > array_int ).

tff(func_def_30,type,
    sK0: $int ).

tff(func_def_31,type,
    sK1: $int ).

tff(func_def_32,type,
    sK2: $int ).

tff(func_def_33,type,
    sK3: array_int ).

tff(func_def_34,type,
    sK4: ( array_int * $int * $int * $int ) > $int ).

tff(func_def_35,type,
    sK5: ( $int * $int * $int * array_int ) > $int ).

tff(pred_def_1,type,
    sort1: ( ty * uni ) > $o ).

tff(pred_def_3,type,
    is_common_prefix1: ( array_int * $int * $int * $int ) > $o ).

tff(pred_def_5,type,
    is_longest_common_prefix1: ( array_int * $int * $int * $int ) > $o ).

tff(f24,axiom,
    ! [X1: uni,X2: $int,X0: ty] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',get_def) ).

tff(f32,axiom,
    ! [X3: $int,X0: array_int,X1: $int,X2: $int] :
      ( ( $lesseq(0,X3)
        & $lesseq($sum(X1,X3),length1(int,t2tb1(X0)))
        & ! [X4: $int] :
            ( ( $lesseq(0,X4)
              & $less(X4,X3) )
           => ( tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) ) )
        & $lesseq($sum(X2,X3),length1(int,t2tb1(X0))) )
    <=> is_common_prefix1(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_common_prefix_def) ).

tff(f34,axiom,
    ! [X0: array_int,X2: $int,X3: $int,X1: $int] :
      ( ( ! [X4: $int] :
            ( $less(X3,X4)
           => ~ is_common_prefix1(X0,X1,X2,X4) )
        & is_common_prefix1(X0,X1,X2,X3) )
    <=> is_longest_common_prefix1(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_longest_common_prefix_def) ).

tff(f35,conjecture,
    ! [X3: $int,X2: $int,X1: $int,X0: array_int] :
      ( ( ~ is_common_prefix1(X0,X1,X2,$sum(X3,1))
        & is_common_prefix1(X0,X1,X2,X3) )
     => is_longest_common_prefix1(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',longest_common_prefix_succ) ).

tff(f36,negated_conjecture,
    ~ ! [X3: $int,X2: $int,X1: $int,X0: array_int] :
        ( ( ~ is_common_prefix1(X0,X1,X2,$sum(X3,1))
          & is_common_prefix1(X0,X1,X2,X3) )
       => is_longest_common_prefix1(X0,X1,X2,X3) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

tff(f37,plain,
    ! [X3: $int,X0: array_int,X1: $int,X2: $int] :
      ( ( ~ $less(X3,0)
        & ~ $less(length1(int,t2tb1(X0)),$sum(X1,X3))
        & ! [X4: $int] :
            ( ( ~ $less(X4,0)
              & $less(X4,X3) )
           => ( tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) ) )
        & ~ $less(length1(int,t2tb1(X0)),$sum(X2,X3)) )
    <=> is_common_prefix1(X0,X1,X2,X3) ),
    inference(theory_normalization,[],[f32]) ).

tff(f46,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X0,X2)
      | ~ $less(X0,X1)
      | ~ $less(X1,X2) ),
    introduced(definition,[],[tha_transitivity]) ).

tff(f47,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | ( X0 = X1 )
      | $less(X1,X0) ),
    introduced(definition,[],[tha_order_totality]) ).

tff(f58,plain,
    ~ ! [X0: $int,X1: $int,X3: array_int,X2: $int] :
        ( ( is_common_prefix1(X3,X2,X1,X0)
          & ~ is_common_prefix1(X3,X2,X1,$sum(X0,1)) )
       => is_longest_common_prefix1(X3,X2,X1,X0) ),
    inference(rectify,[],[f36]) ).

tff(f59,plain,
    ! [X0: array_int,X3: $int,X2: $int,X1: $int] :
      ( is_longest_common_prefix1(X0,X3,X1,X2)
    <=> ( is_common_prefix1(X0,X3,X1,X2)
        & ! [X4: $int] :
            ( $less(X2,X4)
           => ~ is_common_prefix1(X0,X3,X1,X4) ) ) ),
    inference(rectify,[],[f34]) ).

tff(f60,plain,
    ! [X1: array_int,X2: $int,X0: $int,X3: $int] :
      ( is_common_prefix1(X1,X2,X3,X0)
    <=> ( ~ $less(length1(int,t2tb1(X1)),$sum(X2,X0))
        & ! [X4: $int] :
            ( ( ~ $less(X4,0)
              & $less(X4,X0) )
           => ( tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) ) )
        & ~ $less(length1(int,t2tb1(X1)),$sum(X3,X0))
        & ~ $less(X0,0) ) ),
    inference(rectify,[],[f37]) ).

tff(f63,plain,
    ! [X2: ty,X1: $int,X0: uni] : ( get(X2,int,elts(X2,X0),t2tb(X1)) = get2(X2,X0,X1) ),
    inference(rectify,[],[f24]) ).

tff(f66,plain,
    ! [X0: array_int,X3: $int,X2: $int,X1: $int] :
      ( ( is_common_prefix1(X0,X3,X1,X2)
        & ! [X4: $int] :
            ( $less(X2,X4)
           => ~ is_common_prefix1(X0,X3,X1,X4) ) )
     => is_longest_common_prefix1(X0,X3,X1,X2) ),
    inference(unused_predicate_definition_removal,[],[f59]) ).

tff(f70,plain,
    ! [X1: array_int,X2: $int,X0: $int,X3: $int] :
      ( is_common_prefix1(X1,X2,X3,X0)
    <=> ( ~ $less(length1(int,t2tb1(X1)),$sum(X2,X0))
        & ! [X4: $int] :
            ( ( tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) )
            | $less(X4,0)
            | ~ $less(X4,X0) )
        & ~ $less(length1(int,t2tb1(X1)),$sum(X3,X0))
        & ~ $less(X0,0) ) ),
    inference(ennf_transformation,[],[f60]) ).

tff(f71,plain,
    ! [X0: $int,X2: $int,X3: $int,X1: array_int] :
      ( ( ! [X4: $int] :
            ( ( tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) )
            | $less(X4,0)
            | ~ $less(X4,X0) )
        & ~ $less(length1(int,t2tb1(X1)),$sum(X2,X0))
        & ~ $less(length1(int,t2tb1(X1)),$sum(X3,X0))
        & ~ $less(X0,0) )
    <=> is_common_prefix1(X1,X2,X3,X0) ),
    inference(flattening,[],[f70]) ).

tff(f74,plain,
    ! [X0: array_int,X3: $int,X2: $int,X1: $int] :
      ( is_longest_common_prefix1(X0,X3,X1,X2)
      | ~ is_common_prefix1(X0,X3,X1,X2)
      | ? [X4: $int] :
          ( is_common_prefix1(X0,X3,X1,X4)
          & $less(X2,X4) ) ),
    inference(ennf_transformation,[],[f66]) ).

tff(f75,plain,
    ! [X0: array_int,X1: $int,X3: $int,X2: $int] :
      ( ~ is_common_prefix1(X0,X3,X1,X2)
      | is_longest_common_prefix1(X0,X3,X1,X2)
      | ? [X4: $int] :
          ( is_common_prefix1(X0,X3,X1,X4)
          & $less(X2,X4) ) ),
    inference(flattening,[],[f74]) ).

tff(f76,plain,
    ? [X0: $int,X1: $int,X3: array_int,X2: $int] :
      ( ~ is_longest_common_prefix1(X3,X2,X1,X0)
      & is_common_prefix1(X3,X2,X1,X0)
      & ~ is_common_prefix1(X3,X2,X1,$sum(X0,1)) ),
    inference(ennf_transformation,[],[f58]) ).

tff(f77,plain,
    ? [X2: $int,X0: $int,X1: $int,X3: array_int] :
      ( ~ is_longest_common_prefix1(X3,X2,X1,X0)
      & ~ is_common_prefix1(X3,X2,X1,$sum(X0,1))
      & is_common_prefix1(X3,X2,X1,X0) ),
    inference(flattening,[],[f76]) ).

tff(f78,plain,
    ? [X0: $int,X1: $int,X2: $int,X3: array_int] :
      ( ~ is_longest_common_prefix1(X3,X0,X2,X1)
      & ~ is_common_prefix1(X3,X0,X2,$sum(X1,1))
      & is_common_prefix1(X3,X0,X2,X1) ),
    inference(rectify,[],[f77]) ).

tff(f79,plain,
    ( ~ is_longest_common_prefix1(sK3,sK0,sK2,sK1)
    & ~ is_common_prefix1(sK3,sK0,sK2,$sum(sK1,1))
    & is_common_prefix1(sK3,sK0,sK2,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f78]) ).

tff(f80,plain,
    ! [X0: array_int,X1: $int,X2: $int,X3: $int] :
      ( ~ is_common_prefix1(X0,X2,X1,X3)
      | is_longest_common_prefix1(X0,X2,X1,X3)
      | ? [X4: $int] :
          ( is_common_prefix1(X0,X2,X1,X4)
          & $less(X3,X4) ) ),
    inference(rectify,[],[f75]) ).

tff(f81,plain,
    ! [X0: array_int,X1: $int,X2: $int,X3: $int] :
      ( ~ is_common_prefix1(X0,X2,X1,X3)
      | is_longest_common_prefix1(X0,X2,X1,X3)
      | ( is_common_prefix1(X0,X2,X1,sK4(X0,X1,X2,X3))
        & $less(X3,sK4(X0,X1,X2,X3)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2,X3))],[f80]) ).

tff(f85,plain,
    ! [X0: $int,X2: $int,X3: $int,X1: array_int] :
      ( ( ( ! [X4: $int] :
              ( ( tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) )
              | $less(X4,0)
              | ~ $less(X4,X0) )
          & ~ $less(length1(int,t2tb1(X1)),$sum(X2,X0))
          & ~ $less(length1(int,t2tb1(X1)),$sum(X3,X0))
          & ~ $less(X0,0) )
        | ~ is_common_prefix1(X1,X2,X3,X0) )
      & ( is_common_prefix1(X1,X2,X3,X0)
        | ? [X4: $int] :
            ( ( tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) != tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) )
            & ~ $less(X4,0)
            & $less(X4,X0) )
        | $less(length1(int,t2tb1(X1)),$sum(X2,X0))
        | $less(length1(int,t2tb1(X1)),$sum(X3,X0))
        | $less(X0,0) ) ),
    inference(nnf_transformation,[],[f71]) ).

tff(f86,plain,
    ! [X0: $int,X2: $int,X3: $int,X1: array_int] :
      ( ( ( ! [X4: $int] :
              ( ( tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) )
              | $less(X4,0)
              | ~ $less(X4,X0) )
          & ~ $less(length1(int,t2tb1(X1)),$sum(X2,X0))
          & ~ $less(length1(int,t2tb1(X1)),$sum(X3,X0))
          & ~ $less(X0,0) )
        | ~ is_common_prefix1(X1,X2,X3,X0) )
      & ( is_common_prefix1(X1,X2,X3,X0)
        | ? [X4: $int] :
            ( ( tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) != tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) )
            & ~ $less(X4,0)
            & $less(X4,X0) )
        | $less(length1(int,t2tb1(X1)),$sum(X2,X0))
        | $less(length1(int,t2tb1(X1)),$sum(X3,X0))
        | $less(X0,0) ) ),
    inference(flattening,[],[f85]) ).

tff(f87,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: array_int] :
      ( ( ( ! [X4: $int] :
              ( ( tb2t(get2(int,t2tb1(X3),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X3),$sum(X1,X4))) )
              | $less(X4,0)
              | ~ $less(X4,X0) )
          & ~ $less(length1(int,t2tb1(X3)),$sum(X1,X0))
          & ~ $less(length1(int,t2tb1(X3)),$sum(X2,X0))
          & ~ $less(X0,0) )
        | ~ is_common_prefix1(X3,X1,X2,X0) )
      & ( is_common_prefix1(X3,X1,X2,X0)
        | ? [X5: $int] :
            ( ( tb2t(get2(int,t2tb1(X3),$sum(X2,X5))) != tb2t(get2(int,t2tb1(X3),$sum(X1,X5))) )
            & ~ $less(X5,0)
            & $less(X5,X0) )
        | $less(length1(int,t2tb1(X3)),$sum(X1,X0))
        | $less(length1(int,t2tb1(X3)),$sum(X2,X0))
        | $less(X0,0) ) ),
    inference(rectify,[],[f86]) ).

tff(f88,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: array_int] :
      ( ( ( ! [X4: $int] :
              ( ( tb2t(get2(int,t2tb1(X3),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X3),$sum(X1,X4))) )
              | $less(X4,0)
              | ~ $less(X4,X0) )
          & ~ $less(length1(int,t2tb1(X3)),$sum(X1,X0))
          & ~ $less(length1(int,t2tb1(X3)),$sum(X2,X0))
          & ~ $less(X0,0) )
        | ~ is_common_prefix1(X3,X1,X2,X0) )
      & ( is_common_prefix1(X3,X1,X2,X0)
        | ( ( tb2t(get2(int,t2tb1(X3),$sum(X1,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X3),$sum(X2,sK5(X0,X1,X2,X3)))) )
          & ~ $less(sK5(X0,X1,X2,X3),0)
          & $less(sK5(X0,X1,X2,X3),X0) )
        | $less(length1(int,t2tb1(X3)),$sum(X1,X0))
        | $less(length1(int,t2tb1(X3)),$sum(X2,X0))
        | $less(X0,0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X5,sK5(X0,X1,X2,X3))],[f87]) ).

tff(f89,plain,
    ! [X0: ty,X1: $int,X2: uni] : ( get(X0,int,elts(X0,X2),t2tb(X1)) = get2(X0,X2,X1) ),
    inference(rectify,[],[f63]) ).

tff(f90,plain,
    is_common_prefix1(sK3,sK0,sK2,sK1),
    inference(cnf_transformation,[],[f79]) ).

tff(f91,plain,
    ~ is_common_prefix1(sK3,sK0,sK2,$sum(sK1,1)),
    inference(cnf_transformation,[],[f79]) ).

tff(f92,plain,
    ~ is_longest_common_prefix1(sK3,sK0,sK2,sK1),
    inference(cnf_transformation,[],[f79]) ).

tff(f93,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int] :
      ( ~ is_common_prefix1(X0,X2,X1,X3)
      | is_longest_common_prefix1(X0,X2,X1,X3)
      | $less(X3,sK4(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f81]) ).

tff(f94,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int] :
      ( ~ is_common_prefix1(X0,X2,X1,X3)
      | is_common_prefix1(X0,X2,X1,sK4(X0,X1,X2,X3))
      | is_longest_common_prefix1(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f81]) ).

tff(f99,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int] :
      ( is_common_prefix1(X3,X1,X2,X0)
      | $less(X0,0)
      | $less(length1(int,t2tb1(X3)),$sum(X1,X0))
      | $less(sK5(X0,X1,X2,X3),X0)
      | $less(length1(int,t2tb1(X3)),$sum(X2,X0)) ),
    inference(cnf_transformation,[],[f88]) ).

tff(f100,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int] :
      ( is_common_prefix1(X3,X1,X2,X0)
      | $less(X0,0)
      | $less(length1(int,t2tb1(X3)),$sum(X1,X0))
      | ~ $less(sK5(X0,X1,X2,X3),0)
      | $less(length1(int,t2tb1(X3)),$sum(X2,X0)) ),
    inference(cnf_transformation,[],[f88]) ).

tff(f101,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int] :
      ( is_common_prefix1(X3,X1,X2,X0)
      | ( tb2t(get2(int,t2tb1(X3),$sum(X1,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X3),$sum(X2,sK5(X0,X1,X2,X3)))) )
      | $less(length1(int,t2tb1(X3)),$sum(X1,X0))
      | $less(length1(int,t2tb1(X3)),$sum(X2,X0))
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f88]) ).

tff(f102,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int] :
      ( ~ is_common_prefix1(X3,X1,X2,X0)
      | ~ $less(X0,0) ),
    inference(cnf_transformation,[],[f88]) ).

tff(f103,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int] :
      ( ~ is_common_prefix1(X3,X1,X2,X0)
      | ~ $less(length1(int,t2tb1(X3)),$sum(X2,X0)) ),
    inference(cnf_transformation,[],[f88]) ).

tff(f104,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int] :
      ( ~ is_common_prefix1(X3,X1,X2,X0)
      | ~ $less(length1(int,t2tb1(X3)),$sum(X1,X0)) ),
    inference(cnf_transformation,[],[f88]) ).

tff(f105,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int,X4: $int] :
      ( ( tb2t(get2(int,t2tb1(X3),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X3),$sum(X1,X4))) )
      | $less(X4,0)
      | ~ $less(X4,X0)
      | ~ is_common_prefix1(X3,X1,X2,X0) ),
    inference(cnf_transformation,[],[f88]) ).

tff(f106,plain,
    ! [X2: uni,X0: ty,X1: $int] : ( get(X0,int,elts(X0,X2),t2tb(X1)) = get2(X0,X2,X1) ),
    inference(cnf_transformation,[],[f89]) ).

tff(f109,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int,X4: $int] :
      ( ~ is_common_prefix1(X3,X1,X2,X0)
      | ( tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X1,X4)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X2,X4)))) )
      | $less(X4,0)
      | ~ $less(X4,X0) ),
    inference(definition_unfolding,[],[f105,f106,f106]) ).

tff(f110,plain,
    ! [X2: $int,X3: array_int,X0: $int,X1: $int] :
      ( is_common_prefix1(X3,X1,X2,X0)
      | $less(length1(int,t2tb1(X3)),$sum(X1,X0))
      | $less(length1(int,t2tb1(X3)),$sum(X2,X0))
      | ( tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X1,sK5(X0,X1,X2,X3))))) != tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X2,sK5(X0,X1,X2,X3))))) )
      | $less(X0,0) ),
    inference(definition_unfolding,[],[f101,f106,f106]) ).

tff(f112,definition,
    ( spl6_1
  <=> is_common_prefix1(sK3,sK0,sK2,$sum(sK1,1)) ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

tff(f114,plain,
    ( ~ is_common_prefix1(sK3,sK0,sK2,$sum(sK1,1))
    | spl6_1 ),
    inference(avatar_component_clause,[],[f112]) ).

tff(f115,plain,
    ~ spl6_1,
    inference(avatar_split_clause,[],[f91,f112]) ).

tff(f117,definition,
    ( spl6_2
  <=> is_longest_common_prefix1(sK3,sK0,sK2,sK1) ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

tff(f119,plain,
    ( ~ is_longest_common_prefix1(sK3,sK0,sK2,sK1)
    | spl6_2 ),
    inference(avatar_component_clause,[],[f117]) ).

tff(f120,plain,
    ~ spl6_2,
    inference(avatar_split_clause,[],[f92,f117]) ).

tff(f122,definition,
    ( spl6_3
  <=> is_common_prefix1(sK3,sK0,sK2,sK1) ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

tff(f124,plain,
    ( is_common_prefix1(sK3,sK0,sK2,sK1)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f122]) ).

tff(f125,plain,
    spl6_3,
    inference(avatar_split_clause,[],[f90,f122]) ).

tff(f126,plain,
    ( ~ $less(sK1,0)
    | ~ spl6_3 ),
    inference(resolution,[],[f102,f124]) ).

tff(f128,definition,
    ( spl6_4
  <=> $less(sK1,0) ),
    introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).

tff(f130,plain,
    ( ~ $less(sK1,0)
    | spl6_4 ),
    inference(avatar_component_clause,[],[f128]) ).

tff(f131,plain,
    ( ~ spl6_4
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f126,f122,f128]) ).

tff(f134,plain,
    ( ! [X0: $int] :
        ( ~ $less(sK1,X0)
        | ~ $less(X0,0) )
    | spl6_4 ),
    inference(resolution,[],[f130,f46]) ).

tff(f165,plain,
    ( is_longest_common_prefix1(sK3,sK0,sK2,sK1)
    | $less(sK1,sK4(sK3,sK2,sK0,sK1))
    | ~ spl6_3 ),
    inference(resolution,[],[f93,f124]) ).

tff(f166,plain,
    ( $less(sK1,sK4(sK3,sK2,sK0,sK1))
    | spl6_2
    | ~ spl6_3 ),
    inference(forward_subsumption_resolution,[],[f165,f119]) ).

tff(f168,definition,
    ( spl6_9
  <=> $less(sK1,sK4(sK3,sK2,sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).

tff(f170,plain,
    ( $less(sK1,sK4(sK3,sK2,sK0,sK1))
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f168]) ).

tff(f171,plain,
    ( spl6_9
    | spl6_2
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f166,f122,f117,f168]) ).

tff(f179,plain,
    ( is_common_prefix1(sK3,sK0,sK2,sK4(sK3,sK2,sK0,sK1))
    | is_longest_common_prefix1(sK3,sK0,sK2,sK1)
    | ~ spl6_3 ),
    inference(resolution,[],[f94,f124]) ).

tff(f180,plain,
    ( is_common_prefix1(sK3,sK0,sK2,sK4(sK3,sK2,sK0,sK1))
    | spl6_2
    | ~ spl6_3 ),
    inference(forward_subsumption_resolution,[],[f179,f119]) ).

tff(f182,definition,
    ( spl6_11
  <=> is_common_prefix1(sK3,sK0,sK2,sK4(sK3,sK2,sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).

tff(f184,plain,
    ( is_common_prefix1(sK3,sK0,sK2,sK4(sK3,sK2,sK0,sK1))
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f182]) ).

tff(f185,plain,
    ( spl6_11
    | spl6_2
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f180,f122,f117,f182]) ).

tff(f186,plain,
    ( $less(sK5($sum(sK1,1),sK0,sK2,sK3),$sum(sK1,1))
    | $less(length1(int,t2tb1(sK3)),$sum(sK2,$sum(sK1,1)))
    | $less($sum(sK1,1),0)
    | $less(length1(int,t2tb1(sK3)),$sum(sK0,$sum(sK1,1)))
    | spl6_1 ),
    inference(resolution,[],[f99,f114]) ).

tff(f193,definition,
    ( spl6_12
  <=> $less(sK5($sum(sK1,1),sK0,sK2,sK3),$sum(sK1,1)) ),
    introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).

tff(f197,definition,
    ( spl6_13
  <=> $less(length1(int,t2tb1(sK3)),$sum(sK0,$sum(sK1,1))) ),
    introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).

tff(f201,definition,
    ( spl6_14
  <=> $less(length1(int,t2tb1(sK3)),$sum(sK2,$sum(sK1,1))) ),
    introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).

tff(f205,definition,
    ( spl6_15
  <=> $less($sum(sK1,1),0) ),
    introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).

tff(f208,plain,
    ( spl6_12
    | spl6_13
    | spl6_14
    | spl6_15
    | spl6_1 ),
    inference(avatar_split_clause,[],[f186,f112,f205,f201,f197,f193]) ).

tff(f223,plain,
    ( $less($sum(sK1,1),0)
    | $less(length1(int,t2tb1(sK3)),$sum(sK2,$sum(sK1,1)))
    | $less(length1(int,t2tb1(sK3)),$sum(sK0,$sum(sK1,1)))
    | ~ $less(sK5($sum(sK1,1),sK0,sK2,sK3),0)
    | spl6_1 ),
    inference(resolution,[],[f100,f114]) ).

tff(f230,definition,
    ( spl6_18
  <=> $less(sK5($sum(sK1,1),sK0,sK2,sK3),0) ),
    introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).

tff(f232,plain,
    ( ~ $less(sK5($sum(sK1,1),sK0,sK2,sK3),0)
    | spl6_18 ),
    inference(avatar_component_clause,[],[f230]) ).

tff(f233,plain,
    ( ~ spl6_18
    | spl6_13
    | spl6_14
    | spl6_15
    | spl6_1 ),
    inference(avatar_split_clause,[],[f223,f112,f205,f201,f197,f230]) ).

tff(f235,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sK1)
        | ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,X0)))) = tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,X0)))) )
        | $less(X0,0) )
    | ~ spl6_3 ),
    inference(resolution,[],[f109,f124]) ).

tff(f243,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sK4(sK3,sK2,sK0,sK1))
        | $less(X0,0)
        | ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,X0)))) = tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,X0)))) ) )
    | ~ spl6_11 ),
    inference(resolution,[],[f184,f109]) ).

tff(f246,plain,
    ( ~ $less(length1(int,t2tb1(sK3)),$sum(sK0,sK4(sK3,sK2,sK0,sK1)))
    | ~ spl6_11 ),
    inference(resolution,[],[f184,f104]) ).

tff(f247,plain,
    ( ~ $less(length1(int,t2tb1(sK3)),$sum(sK2,sK4(sK3,sK2,sK0,sK1)))
    | ~ spl6_11 ),
    inference(resolution,[],[f184,f103]) ).

tff(f250,definition,
    ( spl6_19
  <=> $less(length1(int,t2tb1(sK3)),$sum(sK0,sK4(sK3,sK2,sK0,sK1))) ),
    introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).

tff(f253,plain,
    ( ~ spl6_19
    | ~ spl6_11 ),
    inference(avatar_split_clause,[],[f246,f182,f250]) ).

tff(f269,definition,
    ( spl6_23
  <=> $less(length1(int,t2tb1(sK3)),$sum(sK2,sK4(sK3,sK2,sK0,sK1))) ),
    introduced(definition,[new_symbols(definition,[spl6_23])],[avatar_definition]) ).

tff(f272,plain,
    ( ~ spl6_23
    | ~ spl6_11 ),
    inference(avatar_split_clause,[],[f247,f182,f269]) ).

tff(f273,plain,
    ( $less(length1(int,t2tb1(sK3)),$sum(sK0,$sum(sK1,1)))
    | $less($sum(sK1,1),0)
    | ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,sK5($sum(sK1,1),sK0,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,sK5($sum(sK1,1),sK0,sK2,sK3))))) )
    | $less(length1(int,t2tb1(sK3)),$sum(sK2,$sum(sK1,1)))
    | spl6_1 ),
    inference(resolution,[],[f110,f114]) ).

tff(f283,definition,
    ( spl6_24
  <=> ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,sK5($sum(sK1,1),sK0,sK2,sK3))))) = tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,sK5($sum(sK1,1),sK0,sK2,sK3))))) ) ),
    introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition]) ).

tff(f285,plain,
    ( ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,sK5($sum(sK1,1),sK0,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,sK5($sum(sK1,1),sK0,sK2,sK3))))) )
    | spl6_24 ),
    inference(avatar_component_clause,[],[f283]) ).

tff(f286,plain,
    ( ~ spl6_24
    | spl6_15
    | spl6_13
    | spl6_14
    | spl6_1 ),
    inference(avatar_split_clause,[],[f273,f112,f201,f197,f205,f283]) ).

tff(f302,plain,
    ( ! [X0: $int] :
        ( $less(sK1,X0)
        | $less(X0,0)
        | ( sK1 = X0 )
        | ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,X0)))) = tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,X0)))) ) )
    | ~ spl6_3 ),
    inference(resolution,[],[f235,f47]) ).

tff(f509,plain,
    ( ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,sK5($sum(sK1,1),sK0,sK2,sK3))))) = tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,sK5($sum(sK1,1),sK0,sK2,sK3))))) )
    | $less(sK1,sK5($sum(sK1,1),sK0,sK2,sK3))
    | ( sK5($sum(sK1,1),sK0,sK2,sK3) = sK1 )
    | ~ spl6_3
    | spl6_18 ),
    inference(resolution,[],[f302,f232]) ).

tff(f523,plain,
    ( ( sK5($sum(sK1,1),sK0,sK2,sK3) = sK1 )
    | $less(sK1,sK5($sum(sK1,1),sK0,sK2,sK3))
    | ~ spl6_3
    | spl6_18
    | spl6_24 ),
    inference(forward_subsumption_resolution,[],[f509,f285]) ).

tff(f528,definition,
    ( spl6_39
  <=> $less(sK1,$sum(sK1,1)) ),
    introduced(definition,[new_symbols(definition,[spl6_39])],[avatar_definition]) ).

tff(f530,plain,
    ( $less(sK1,$sum(sK1,1))
    | ~ spl6_39 ),
    inference(avatar_component_clause,[],[f528]) ).

tff(f547,definition,
    ( spl6_43
  <=> ( sK5($sum(sK1,1),sK0,sK2,sK3) = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl6_43])],[avatar_definition]) ).

tff(f549,plain,
    ( ( sK5($sum(sK1,1),sK0,sK2,sK3) = sK1 )
    | ~ spl6_43 ),
    inference(avatar_component_clause,[],[f547]) ).

tff(f551,definition,
    ( spl6_44
  <=> $less(sK1,sK5($sum(sK1,1),sK0,sK2,sK3)) ),
    introduced(definition,[new_symbols(definition,[spl6_44])],[avatar_definition]) ).

tff(f554,plain,
    ( spl6_43
    | spl6_44
    | ~ spl6_3
    | spl6_18
    | spl6_24 ),
    inference(avatar_split_clause,[],[f523,f283,f230,f122,f551,f547]) ).

tff(f563,plain,
    ( ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,sK1)))) != tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,sK1)))) )
    | spl6_24
    | ~ spl6_43 ),
    inference(superposition,[],[f285,f549]) ).

tff(f570,definition,
    ( spl6_46
  <=> ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,sK1)))) = tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,sK1)))) ) ),
    introduced(definition,[new_symbols(definition,[spl6_46])],[avatar_definition]) ).

tff(f573,plain,
    ( ~ spl6_46
    | spl6_24
    | ~ spl6_43 ),
    inference(avatar_split_clause,[],[f563,f547,f283,f570]) ).

tff(f574,plain,
    ( ~ $less($sum(sK1,1),0)
    | spl6_4
    | ~ spl6_39 ),
    inference(resolution,[],[f530,f134]) ).

tff(f580,plain,
    ( ~ spl6_15
    | spl6_4
    | ~ spl6_39 ),
    inference(avatar_split_clause,[],[f574,f528,f128,f205]) ).

tff(f606,plain,
    ( ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,sK1)))) = tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,sK1)))) )
    | $less(sK1,0)
    | ~ spl6_9
    | ~ spl6_11 ),
    inference(resolution,[],[f243,f170]) ).

tff(f609,plain,
    ( ( tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK2,sK1)))) = tb2t(get(int,int,elts(int,t2tb1(sK3)),t2tb($sum(sK0,sK1)))) )
    | spl6_4
    | ~ spl6_9
    | ~ spl6_11 ),
    inference(forward_subsumption_resolution,[],[f606,f130]) ).

tff(f610,plain,
    ( spl6_46
    | spl6_4
    | ~ spl6_9
    | ~ spl6_11 ),
    inference(avatar_split_clause,[],[f609,f182,f168,f128,f570]) ).

tff(f611,plain,
    $false,
    inference(avatar_smt_refutation,[],[f610,f580,f573,f554,f286,f272,f253,f233,f208,f185,f171,f131,f125,f120,f115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWW657_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  % Computer : n011.cluster.edu
% 0.10/0.24  % Model    : x86_64 x86_64
% 0.10/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24  % Memory   : 8046.5625MB
% 0.10/0.24  % OS       : Linux 6.8.0-71-generic
% 0.10/0.24  % CPULimit : 300
% 0.10/0.24  % WCLimit  : 300
% 0.10/0.24  % DateTime : Mon Sep 28 14:24:01 UTC 2026
% 0.10/0.24  % CPUTime  : 
% 0.10/0.25  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.29  Running first-order theorem proving
% 0.27/0.29  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.40/1.59  % (3419113)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.40/1.59  % (3419130)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=966414530:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.40/1.59  % (3419134)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=851878359:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.40/1.59  % (3419129)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2896813587:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.40/1.59  % (3419133)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2164616576:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.40/1.59  % (3419132)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2491901964:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.40/1.59  % (3419131)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=191368509:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.40/1.59  % (3419133)Instruction limit reached! 
% 4.40/1.59  % (3419133)------------------------------
% 4.40/1.59  % (3419133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.59  % (3419133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.59  % (3419133)CaDiCaL version: 2.1.3
% 4.40/1.59  % (3419133)Termination reason: Instruction limit
% 4.40/1.59  % (3419133)Termination phase: Saturation
% 4.40/1.59  % (3419133)Time elapsed: 0.005 s
% 4.40/1.59  % (3419133)Peak memory usage: 88 MB
% 4.40/1.59  % (3419133)Instructions burned: 4 (million)
% 4.40/1.59  % (3419132)Instruction limit reached! 
% 4.40/1.59  % (3419132)------------------------------
% 4.40/1.59  % (3419132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.59  % (3419132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.59  % (3419132)CaDiCaL version: 2.1.3
% 4.40/1.59  % (3419132)Termination reason: Instruction limit
% 4.40/1.59  % (3419132)Termination phase: Saturation
% 4.40/1.59  % (3419132)Time elapsed: 0.008 s
% 4.40/1.59  % (3419132)Peak memory usage: 88 MB
% 4.40/1.59  % (3419132)Instructions burned: 7 (million)
% 4.40/1.59  % (3419135)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3850131292:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.40/1.59  % (3419129)Instruction limit reached! 
% 4.40/1.59  % (3419129)------------------------------
% 4.40/1.59  % (3419129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.59  % (3419129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.59  % (3419129)CaDiCaL version: 2.1.3
% 4.40/1.59  % (3419129)Termination reason: Instruction limit
% 4.40/1.59  % (3419129)Termination phase: Saturation
% 4.40/1.59  % (3419129)Time elapsed: 0.035 s
% 4.40/1.59  % (3419129)Peak memory usage: 115 MB
% 4.40/1.59  % (3419129)Instructions burned: 12 (million)
% 4.40/1.59  % (3419134)Instruction limit reached! 
% 4.40/1.59  % (3419134)------------------------------
% 4.40/1.59  % (3419134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.59  % (3419134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.59  % (3419134)CaDiCaL version: 2.1.3
% 4.40/1.59  % (3419134)Termination reason: Instruction limit
% 4.40/1.59  % (3419134)Termination phase: Saturation
% 4.40/1.59  % (3419134)Time elapsed: 0.083 s
% 4.40/1.59  % (3419134)Peak memory usage: 116 MB
% 4.40/1.59  % (3419134)Instructions burned: 46 (million)
% 4.40/1.59  % (3419135)Instruction limit reached! 
% 4.40/1.59  % (3419135)------------------------------
% 4.40/1.59  % (3419135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.59  % (3419135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.59  % (3419135)CaDiCaL version: 2.1.3
% 4.40/1.59  % (3419135)Termination reason: Instruction limit
% 4.40/1.59  % (3419135)Termination phase: Saturation
% 4.40/1.59  % (3419135)Time elapsed: 0.067 s
% 4.40/1.59  % (3419135)Peak memory usage: 116 MB
% 4.40/1.59  % (3419135)Instructions burned: 33 (million)
% 4.40/1.59  % (3419130)Instruction limit reached! 
% 4.40/1.59  % (3419130)------------------------------
% 4.40/1.59  % (3419130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.59  % (3419130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.81  % (3419130)CaDiCaL version: 2.1.3
% 6.46/1.81  % (3419130)Termination reason: Instruction limit
% 6.46/1.81  % (3419130)Termination phase: Saturation
% 6.46/1.81  % (3419130)Time elapsed: 0.166 s
% 6.46/1.81  % (3419130)Peak memory usage: 116 MB
% 6.46/1.81  % (3419130)Instructions burned: 312 (million)
% 6.46/1.81  % (3419145)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2297848786:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 6.46/1.81  % (3419145)Instruction limit reached! 
% 6.46/1.81  % (3419145)------------------------------
% 6.46/1.81  % (3419145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.81  % (3419145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.81  % (3419145)CaDiCaL version: 2.1.3
% 6.46/1.81  % (3419145)Termination reason: Instruction limit
% 6.46/1.81  % (3419145)Termination phase: Saturation
% 6.46/1.81  % (3419145)Time elapsed: 0.018 s
% 6.46/1.81  % (3419145)Peak memory usage: 88 MB
% 6.46/1.81  % (3419145)Instructions burned: 14 (million)
% 6.46/1.81  % (3419146)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2640295183:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.46/1.81  % (3419150)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=180855510:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 6.46/1.81  % (3419147)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=472113740:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 6.46/1.81  % (3419146)Instruction limit reached! 
% 6.46/1.81  % (3419146)------------------------------
% 6.46/1.81  % (3419146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.81  % (3419146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.81  % (3419146)CaDiCaL version: 2.1.3
% 6.46/1.81  % (3419146)Termination reason: Instruction limit
% 6.46/1.81  % (3419146)Termination phase: Saturation
% 6.46/1.81  % (3419146)Time elapsed: 0.035 s
% 6.46/1.81  % (3419146)Peak memory usage: 89 MB
% 6.46/1.81  % (3419146)Instructions burned: 29 (million)
% 6.46/1.81  % (3419131)Instruction limit reached! 
% 6.46/1.81  % (3419131)------------------------------
% 6.46/1.81  % (3419131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.81  % (3419131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.81  % (3419131)CaDiCaL version: 2.1.3
% 6.46/1.81  % (3419131)Termination reason: Instruction limit
% 6.46/1.81  % (3419131)Termination phase: Saturation
% 6.46/1.81  % (3419131)Time elapsed: 0.265 s
% 6.46/1.81  % (3419131)Peak memory usage: 119 MB
% 6.46/1.81  % (3419131)Instructions burned: 201 (million)
% 6.46/1.81  % (3419147)Instruction limit reached! 
% 6.46/1.81  % (3419147)------------------------------
% 6.46/1.81  % (3419147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.81  % (3419147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.81  % (3419147)CaDiCaL version: 2.1.3
% 6.46/1.81  % (3419147)Termination reason: Instruction limit
% 6.46/1.81  % (3419147)Termination phase: Saturation
% 6.46/1.81  % (3419147)Time elapsed: 0.018 s
% 6.46/1.81  % (3419147)Peak memory usage: 90 MB
% 6.46/1.81  % (3419147)Instructions burned: 17 (million)
% 6.46/1.81  % (3419148)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1666653696:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 6.46/1.81  % (3419150)Instruction limit reached! 
% 6.46/1.81  % (3419150)------------------------------
% 6.46/1.81  % (3419150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.81  % (3419150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.81  % (3419150)CaDiCaL version: 2.1.3
% 6.46/1.81  % (3419150)Termination reason: Instruction limit
% 6.46/1.81  % (3419150)Termination phase: Saturation
% 6.46/1.81  % (3419150)Time elapsed: 0.050 s
% 6.46/1.81  % (3419150)Peak memory usage: 89 MB
% 6.46/1.81  % (3419150)Instructions burned: 86 (million)
% 6.46/1.81  % (3419149)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2123488747:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 6.46/1.81  % (3419148)Instruction limit reached! 
% 6.46/1.81  % (3419148)------------------------------
% 6.46/1.81  % (3419148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.08  % (3419148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.08  % (3419148)CaDiCaL version: 2.1.3
% 8.95/2.08  % (3419148)Termination reason: Instruction limit
% 8.95/2.08  % (3419148)Termination phase: Saturation
% 8.95/2.08  % (3419148)Time elapsed: 0.030 s
% 8.95/2.08  % (3419148)Peak memory usage: 89 MB
% 8.95/2.08  % (3419148)Instructions burned: 24 (million)
% 8.95/2.08  % (3419149)Instruction limit reached! 
% 8.95/2.08  % (3419149)------------------------------
% 8.95/2.08  % (3419149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.08  % (3419149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.08  % (3419149)CaDiCaL version: 2.1.3
% 8.95/2.08  % (3419149)Termination reason: Instruction limit
% 8.95/2.08  % (3419149)Termination phase: Saturation
% 8.95/2.08  % (3419149)Time elapsed: 0.026 s
% 8.95/2.08  % (3419149)Peak memory usage: 89 MB
% 8.95/2.08  % (3419149)Instructions burned: 27 (million)
% 8.95/2.08  % (3419152)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=345630302:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 8.95/2.08  % (3419152)Instruction limit reached! 
% 8.95/2.08  % (3419152)------------------------------
% 8.95/2.08  % (3419152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.08  % (3419152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.08  % (3419152)CaDiCaL version: 2.1.3
% 8.95/2.08  % (3419152)Termination reason: Instruction limit
% 8.95/2.08  % (3419152)Termination phase: Saturation
% 8.95/2.08  % (3419152)Time elapsed: 0.002 s
% 8.95/2.08  % (3419152)Peak memory usage: 87 MB
% 8.95/2.08  % (3419152)Instructions burned: 3 (million)
% 8.95/2.08  % (3419156)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=212527614:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 8.95/2.08  % (3419157)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2711604933:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 8.95/2.08  % (3419158)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4159446342:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 8.95/2.08  % (3419160)lrs+10_1_thi=all:si=on:fd=off:random_seed=2438902967:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 8.95/2.08  % (3419157)Instruction limit reached! 
% 8.95/2.08  % (3419157)------------------------------
% 8.95/2.08  % (3419157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.08  % (3419157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.08  % (3419157)CaDiCaL version: 2.1.3
% 8.95/2.08  % (3419157)Termination reason: Instruction limit
% 8.95/2.08  % (3419157)Termination phase: Saturation
% 8.95/2.08  % (3419157)Time elapsed: 0.005 s
% 8.95/2.08  % (3419157)Peak memory usage: 88 MB
% 8.95/2.08  % (3419157)Instructions burned: 4 (million)
% 8.95/2.08  % (3419162)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=416549475:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 8.95/2.08  % (3419162)Instruction limit reached! 
% 8.95/2.08  % (3419162)------------------------------
% 8.95/2.08  % (3419162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.08  % (3419162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.08  % (3419162)CaDiCaL version: 2.1.3
% 8.95/2.08  % (3419162)Termination reason: Instruction limit
% 8.95/2.08  % (3419162)Termination phase: Saturation
% 8.95/2.08  % (3419162)Time elapsed: 0.010 s
% 8.95/2.08  % (3419162)Peak memory usage: 88 MB
% 8.95/2.08  % (3419162)Instructions burned: 8 (million)
% 8.95/2.08  % (3419165)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2679423959:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 8.95/2.08  % (3419165)Instruction limit reached! 
% 8.95/2.08  % (3419165)------------------------------
% 8.95/2.08  % (3419165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.08  % (3419165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.08  % (3419165)CaDiCaL version: 2.1.3
% 8.95/2.08  % (3419165)Termination reason: Instruction limit
% 8.95/2.08  % (3419165)Termination phase: Property scanning
% 10.16/2.39  % (3419165)Time elapsed: 0.003 s
% 10.16/2.39  % (3419165)Peak memory usage: 88 MB
% 10.16/2.39  % (3419165)Instructions burned: 3 (million)
% 10.16/2.39  % (3419163)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3397885102:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 10.16/2.39  % (3419163)Instruction limit reached! 
% 10.16/2.39  % (3419163)------------------------------
% 10.16/2.39  % (3419163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.39  % (3419163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.39  % (3419163)CaDiCaL version: 2.1.3
% 10.16/2.39  % (3419163)Termination reason: Instruction limit
% 10.16/2.39  % (3419163)Termination phase: Property scanning
% 10.16/2.39  % (3419163)Time elapsed: 0.003 s
% 10.16/2.39  % (3419163)Peak memory usage: 86 MB
% 10.16/2.39  % (3419163)Instructions burned: 2 (million)
% 10.16/2.39  % (3419160)Instruction limit reached! 
% 10.16/2.39  % (3419160)------------------------------
% 10.16/2.39  % (3419160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.39  % (3419160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.39  % (3419160)CaDiCaL version: 2.1.3
% 10.16/2.39  % (3419160)Termination reason: Instruction limit
% 10.16/2.39  % (3419160)Termination phase: Saturation
% 10.16/2.39  % (3419160)Time elapsed: 0.094 s
% 10.16/2.39  % (3419160)Peak memory usage: 118 MB
% 10.16/2.39  % (3419160)Instructions burned: 53 (million)
% 10.16/2.39  % (3419158)Instruction limit reached! 
% 10.16/2.39  % (3419158)------------------------------
% 10.16/2.39  % (3419158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.39  % (3419158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.39  % (3419158)CaDiCaL version: 2.1.3
% 10.16/2.39  % (3419158)Termination reason: Instruction limit
% 10.16/2.39  % (3419158)Termination phase: Saturation
% 10.16/2.39  % (3419158)Time elapsed: 0.129 s
% 10.16/2.39  % (3419158)Peak memory usage: 134 MB
% 10.16/2.39  % (3419158)Instructions burned: 66 (million)
% 10.16/2.39  % (3419170)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2730028702:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 10.16/2.39  % (3419156)Instruction limit reached! 
% 10.16/2.39  % (3419156)------------------------------
% 10.16/2.39  % (3419156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.39  % (3419156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.39  % (3419156)CaDiCaL version: 2.1.3
% 10.16/2.39  % (3419156)Termination reason: Instruction limit
% 10.16/2.39  % (3419156)Termination phase: Saturation
% 10.16/2.39  % (3419156)Time elapsed: 0.166 s
% 10.16/2.39  % (3419156)Peak memory usage: 90 MB
% 10.16/2.39  % (3419156)Instructions burned: 182 (million)
% 10.16/2.39  % (3419174)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4070140045:i=26:canc=cautious:av=off:rtra=on_2992 on theBenchmark for (2992ds/26Mi)
% 10.16/2.39  % (3419174)Refutation not found, incomplete strategy
% 10.16/2.39  % (3419174)------------------------------
% 10.16/2.39  % (3419174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.39  % (3419174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.39  % (3419174)CaDiCaL version: 2.1.3
% 10.16/2.39  % (3419174)Termination reason: Refutation not found, incomplete strategy
% 10.16/2.39  % (3419174)Time elapsed: 0.004 s
% 10.16/2.39  % (3419174)Peak memory usage: 89 MB
% 10.16/2.39  % (3419174)Instructions burned: 5 (million)
% 10.16/2.39  % (3419170)Instruction limit reached! 
% 10.16/2.39  % (3419170)------------------------------
% 10.16/2.39  % (3419170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.39  % (3419170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.39  % (3419170)CaDiCaL version: 2.1.3
% 10.16/2.39  % (3419170)Termination reason: Instruction limit
% 10.16/2.39  % (3419170)Termination phase: Saturation
% 10.16/2.39  % (3419170)Time elapsed: 0.093 s
% 10.16/2.39  % (3419170)Peak memory usage: 118 MB
% 10.16/2.39  % (3419170)Instructions burned: 127 (million)
% 10.16/2.39  % (3419173)dis+10_1_si=on:random_seed=2140009434:i=10:ep=R:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 10.16/2.39  % (3419173)Instruction limit reached! 
% 10.16/2.39  % (3419173)------------------------------
% 10.16/2.39  % (3419173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.39  % (3419173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419173)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419173)Termination reason: Instruction limit
% 11.20/2.70  % (3419173)Termination phase: Saturation
% 11.20/2.70  % (3419173)Time elapsed: 0.012 s
% 11.20/2.70  % (3419173)Peak memory usage: 88 MB
% 11.20/2.70  % (3419173)Instructions burned: 11 (million)
% 11.20/2.70  % (3419176)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3196989877:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2992 on theBenchmark for (2992ds/35Mi)
% 11.20/2.70  % (3419177)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3362632837:i=2:fsr=off:rtra=on:inst=on_2992 on theBenchmark for (2992ds/2Mi)
% 11.20/2.70  % (3419176)Instruction limit reached! 
% 11.20/2.70  % (3419176)------------------------------
% 11.20/2.70  % (3419176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419176)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419176)Termination reason: Instruction limit
% 11.20/2.70  % (3419176)Termination phase: Saturation
% 11.20/2.70  % (3419176)Time elapsed: 0.043 s
% 11.20/2.70  % (3419176)Peak memory usage: 89 MB
% 11.20/2.70  % (3419176)Instructions burned: 35 (million)
% 11.20/2.70  % (3419177)Instruction limit reached! 
% 11.20/2.70  % (3419177)------------------------------
% 11.20/2.70  % (3419177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419177)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419177)Termination reason: Instruction limit
% 11.20/2.70  % (3419177)Termination phase: Function definition elimination
% 11.20/2.70  % (3419177)Time elapsed: 0.003 s
% 11.20/2.70  % (3419177)Peak memory usage: 86 MB
% 11.20/2.70  % (3419177)Instructions burned: 2 (million)
% 11.20/2.70  % (3419178)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3319447446:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2991 on theBenchmark for (2991ds/8Mi)
% 11.20/2.70  % (3419178)Instruction limit reached! 
% 11.20/2.70  % (3419178)------------------------------
% 11.20/2.70  % (3419178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419178)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419178)Termination reason: Instruction limit
% 11.20/2.70  % (3419178)Termination phase: Saturation
% 11.20/2.70  % (3419178)Time elapsed: 0.011 s
% 11.20/2.70  % (3419178)Peak memory usage: 88 MB
% 11.20/2.70  % (3419178)Instructions burned: 8 (million)
% 11.20/2.70  % (3419180)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2374327464:i=370:ep=RS:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/370Mi)
% 11.20/2.70  % (3419183)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=1431061857:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/13Mi)
% 11.20/2.70  % (3419183)Instruction limit reached! 
% 11.20/2.70  % (3419183)------------------------------
% 11.20/2.70  % (3419183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419183)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419183)Termination reason: Instruction limit
% 11.20/2.70  % (3419183)Termination phase: Saturation
% 11.20/2.70  % (3419183)Time elapsed: 0.026 s
% 11.20/2.70  % (3419183)Peak memory usage: 116 MB
% 11.20/2.70  % (3419183)Instructions burned: 14 (million)
% 11.20/2.70  % (3419174)------------------------------
% 11.20/2.70  % (3419174)------------------------------
% 11.20/2.70  % (3419185)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2137973220:i=226:rtra=on:gtg=position:ss=axioms_2990 on theBenchmark for (2990ds/226Mi)
% 11.20/2.70  % (3419187)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=135620704:i=10:rtra=on_2989 on theBenchmark for (2989ds/10Mi)
% 11.20/2.70  % (3419188)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=28300448:i=71:rtra=on:gtg=exists_top_2989 on theBenchmark for (2989ds/71Mi)
% 11.20/2.70  % (3419187)Instruction limit reached! 
% 11.20/2.70  % (3419187)------------------------------
% 11.20/2.70  % (3419187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419187)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419187)Termination reason: Instruction limit
% 11.20/2.70  % (3419187)Termination phase: Saturation
% 11.20/2.70  % (3419187)Time elapsed: 0.012 s
% 11.20/2.70  % (3419187)Peak memory usage: 88 MB
% 11.20/2.70  % (3419187)Instructions burned: 10 (million)
% 11.20/2.70  % (3419193)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2916057317:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2988 on theBenchmark for (2988ds/294Mi)
% 11.20/2.70  % (3419190)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=3824875580:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2989 on theBenchmark for (2989ds/75Mi)
% 11.20/2.70  % (3419190)Instruction limit reached! 
% 11.20/2.70  % (3419190)------------------------------
% 11.20/2.70  % (3419190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419190)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419190)Termination reason: Instruction limit
% 11.20/2.70  % (3419190)Termination phase: Saturation
% 11.20/2.70  % (3419190)Time elapsed: 0.065 s
% 11.20/2.70  % (3419190)Peak memory usage: 89 MB
% 11.20/2.70  % (3419190)Instructions burned: 75 (million)
% 11.20/2.70  % (3419188)Instruction limit reached! 
% 11.20/2.70  % (3419188)------------------------------
% 11.20/2.70  % (3419188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419188)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419188)Termination reason: Instruction limit
% 11.20/2.70  % (3419188)Termination phase: Saturation
% 11.20/2.70  % (3419188)Time elapsed: 0.130 s
% 11.20/2.70  % (3419188)Peak memory usage: 133 MB
% 11.20/2.70  % (3419188)Instructions burned: 71 (million)
% 11.20/2.70  % (3419195)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2598916744:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2988 on theBenchmark for (2988ds/130Mi)
% 11.20/2.70  % (3419180)Instruction limit reached! 
% 11.20/2.70  % (3419180)------------------------------
% 11.20/2.70  % (3419180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419180)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419180)Termination reason: Instruction limit
% 11.20/2.70  % (3419180)Termination phase: Saturation
% 11.20/2.70  % (3419180)Time elapsed: 0.328 s
% 11.20/2.70  % (3419180)Peak memory usage: 92 MB
% 11.20/2.70  % (3419180)Instructions burned: 371 (million)
% 11.20/2.70  % (3419185)Instruction limit reached! 
% 11.20/2.70  % (3419185)------------------------------
% 11.20/2.70  % (3419185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419185)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419185)Termination reason: Instruction limit
% 11.20/2.70  % (3419185)Termination phase: Saturation
% 11.20/2.70  % (3419185)Time elapsed: 0.247 s
% 11.20/2.70  % (3419185)Peak memory usage: 116 MB
% 11.20/2.70  % (3419185)Instructions burned: 226 (million)
% 11.20/2.70  % (3419193)Instruction limit reached! 
% 11.20/2.70  % (3419193)------------------------------
% 11.20/2.70  % (3419193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419193)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419193)Termination reason: Instruction limit
% 11.20/2.70  % (3419193)Termination phase: Saturation
% 11.20/2.70  % (3419193)Time elapsed: 0.166 s
% 11.20/2.70  % (3419193)Peak memory usage: 91 MB
% 11.20/2.70  % (3419193)Instructions burned: 296 (million)
% 11.20/2.70  % (3419198)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=25973838:i=131:rtra=on_2987 on theBenchmark for (2987ds/131Mi)
% 11.20/2.70  % (3419201)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2633895067:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2986 on theBenchmark for (2986ds/40Mi)
% 11.20/2.70  % (3419207)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=3747939542:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2985 on theBenchmark for (2985ds/259Mi)
% 11.20/2.70  % (3419195)Instruction limit reached! 
% 11.20/2.70  % (3419195)------------------------------
% 11.20/2.70  % (3419195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419195)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419195)Termination reason: Instruction limit
% 11.20/2.70  % (3419195)Termination phase: Saturation
% 11.20/2.70  % (3419195)Time elapsed: 0.160 s
% 11.20/2.70  % (3419195)Peak memory usage: 117 MB
% 11.20/2.70  % (3419195)Instructions burned: 130 (million)
% 11.20/2.70  % (3419202)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=3847557257:i=307:rtra=on:gtg=exists_top_2986 on theBenchmark for (2986ds/307Mi)
% 11.20/2.70  % (3419201)Instruction limit reached! 
% 11.20/2.70  % (3419201)------------------------------
% 11.20/2.70  % (3419201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419201)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419201)Termination reason: Instruction limit
% 11.20/2.70  % (3419201)Termination phase: Saturation
% 11.20/2.70  % (3419201)Time elapsed: 0.101 s
% 11.20/2.70  % (3419201)Peak memory usage: 135 MB
% 11.20/2.70  % (3419201)Instructions burned: 41 (million)
% 11.20/2.70  % (3419207)First to succeed.
% 11.20/2.70  % (3419207)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3419113"
% 11.20/2.70  % (3419204)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=2275197658:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/598Mi)
% 11.20/2.70  % (3419198)Instruction limit reached! 
% 11.20/2.70  % (3419198)------------------------------
% 11.20/2.70  % (3419198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419198)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419198)Termination reason: Instruction limit
% 11.20/2.70  % (3419198)Termination phase: Saturation
% 11.20/2.70  % (3419198)Time elapsed: 0.178 s
% 11.20/2.70  % (3419198)Peak memory usage: 133 MB
% 11.20/2.70  % (3419198)Instructions burned: 132 (million)
% 11.20/2.70  % (3419205)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=3096438718:i=131:canc=cautious:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/131Mi)
% 11.20/2.70  % (3419214)dis+10_1_si=on:random_seed=928922925:s2a=on:i=1000:rtra=on:gtg=exists_all_2984 on theBenchmark for (2984ds/1000Mi)
% 11.20/2.70  % (3419216)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=3819848467:i=383:fsr=off:rtra=on:ev=force_2984 on theBenchmark for (2984ds/383Mi)
% 11.20/2.70  % (3419205)Instruction limit reached! 
% 11.20/2.70  % (3419205)------------------------------
% 11.20/2.70  % (3419205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.70  % (3419205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.70  % (3419205)CaDiCaL version: 2.1.3
% 11.20/2.70  % (3419205)Termination reason: Instruction limit
% 11.20/2.70  % (3419205)Termination phase: Saturation
% 11.20/2.70  % (3419205)Time elapsed: 0.171 s
% 11.20/2.70  % (3419205)Peak memory usage: 118 MB
% 11.20/2.70  % (3419205)Instructions burned: 131 (million)
% 11.20/2.70  % (3419207)Refutation found. Thanks to Tanya!
% 11.20/2.70  % SZS status Theorem for theBenchmark
% 11.20/2.70  % SZS output start Proof for theBenchmark
% See solution above
% 13.82/2.95  % (3419207)------------------------------
% 13.82/2.95  % (3419207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/2.95  % (3419207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/2.95  % (3419207)CaDiCaL version: 2.1.3
% 13.82/2.95  % (3419207)Termination reason: Refutation
% 13.82/2.95  % (3419207)Time elapsed: 0.054 s
% 13.82/2.95  % (3419207)Peak memory usage: 117 MB
% 13.82/2.95  % (3419207)Instructions burned: 92 (million)
% 13.82/2.95  % (3419207)------------------------------
% 13.82/2.95  % (3419207)------------------------------
% 13.82/2.95  % (3419113)Success in time 1.841 s
% 13.82/2.95  % Vampire exiting
%------------------------------------------------------------------------------