TSTP Solution File: SWW599_2 by Vampire-SAT---4.9

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW599_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:53:47 EDT 2024

% Result   : Theorem 3.69s 1.12s
% Output   : Refutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   80 (  34 unt;   0 typ;   0 def)
%            Number of atoms       :  389 ( 125 equ)
%            Maximal formula atoms :   40 (   4 avg)
%            Number of connectives :  469 ( 160   ~;  87   |; 150   &)
%                                         (   6 <=>;  66  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number arithmetic     :  694 ( 168 atm; 156 fun; 259 num; 111 var)
%            Number of types       :    9 (   7 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   51 (  45 usr;  20 con; 0-5 aty)
%            Number of variables   :  155 ( 119   !;  36   ?; 155   :)

% 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(type_def_10,type,
    map_int_int: $tType ).

tff(type_def_11,type,
    map_int_bool: $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,
    ref: ty > ty ).

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

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

tff(func_def_15,type,
    map: ( ty * ty ) > ty ).

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

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

tff(func_def_18,type,
    const: ( ty * ty * uni ) > uni ).

tff(func_def_19,type,
    array: ty > ty ).

tff(func_def_20,type,
    mk_array1: ( ty * $int * uni ) > uni ).

tff(func_def_21,type,
    length1: ( ty * uni ) > $int ).

tff(func_def_22,type,
    elts: ( ty * uni ) > uni ).

tff(func_def_23,type,
    get2: ( ty * uni * $int ) > uni ).

tff(func_def_24,type,
    t2tb: $int > uni ).

tff(func_def_25,type,
    tb2t: uni > $int ).

tff(func_def_26,type,
    set2: ( ty * uni * $int * uni ) > uni ).

tff(func_def_27,type,
    make1: ( ty * $int * uni ) > uni ).

tff(func_def_28,type,
    t2tb1: array_int > uni ).

tff(func_def_29,type,
    tb2t1: uni > array_int ).

tff(func_def_30,type,
    t2tb2: map_int_int > uni ).

tff(func_def_31,type,
    tb2t2: uni > map_int_int ).

tff(func_def_32,type,
    t2tb3: bool1 > uni ).

tff(func_def_33,type,
    tb2t3: uni > bool1 ).

tff(func_def_34,type,
    t2tb4: map_int_bool > uni ).

tff(func_def_35,type,
    tb2t4: uni > map_int_bool ).

tff(func_def_40,type,
    sK0: $int ).

tff(func_def_41,type,
    sK1: map_int_int ).

tff(func_def_42,type,
    sK2: $int ).

tff(func_def_43,type,
    sK3: $int ).

tff(func_def_44,type,
    sK4: $int ).

tff(func_def_45,type,
    sK5: $int ).

tff(func_def_46,type,
    sK6: map_int_bool ).

tff(func_def_47,type,
    sK7: $int ).

tff(func_def_48,type,
    sK8: $int > $int ).

tff(func_def_49,type,
    sK9: ( array_int * $int * $int ) > $int ).

tff(func_def_50,type,
    sK10: ( array_int * $int * $int ) > $int ).

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

tff(pred_def_3,type,
    appear_twice1: ( array_int * $int * $int ) > $o ).

tff(f6478,plain,
    $false,
    inference(avatar_sat_refutation,[],[f753,f1159,f6439,f6477]) ).

tff(f6477,plain,
    spl11_11,
    inference(avatar_contradiction_clause,[],[f6476]) ).

tff(f6476,plain,
    ( $false
    | spl11_11 ),
    inference(global_subsumption,[],[f6447,f1154]) ).

tff(f1154,plain,
    ( ~ $less(sK3,sK2)
    | spl11_11 ),
    inference(avatar_component_clause,[],[f1152]) ).

tff(f1152,plain,
    ( spl11_11
  <=> $less(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).

tff(f6447,plain,
    $less(sK3,sK2),
    inference(subsumption_resolution,[],[f6446,f886]) ).

tff(f886,plain,
    ~ $less(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0),0),
    inference(resolution,[],[f878,f187]) ).

tff(f187,plain,
    ! [X2: $int,X0: array_int,X1: $int] :
      ( ~ appear_twice1(X0,X1,X2)
      | ~ $less(sK9(X0,X1,X2),0) ),
    inference(cnf_transformation,[],[f98]) ).

tff(f98,plain,
    ! [X0: array_int,X1: $int,X2: $int] :
      ( appear_twice1(X0,X1,X2)
    <=> ? [X3: $int] :
          ( ? [X4: $int] :
              ( ( tb2t(get2(int,t2tb1(X0),X4)) = X1 )
              & ( X3 != X4 )
              & $less(X4,X2)
              & ~ $less(X4,0) )
          & ( tb2t(get2(int,t2tb1(X0),X3)) = X1 )
          & $less(X3,X2)
          & ~ $less(X3,0) ) ),
    inference(rectify,[],[f50]) ).

tff(f50,plain,
    ! [X0: array_int,X16: $int,X6: $int] :
      ( appear_twice1(X0,X16,X6)
    <=> ? [X14: $int] :
          ( ? [X15: $int] :
              ( ( tb2t(get2(int,t2tb1(X0),X15)) = X16 )
              & ( X14 != X15 )
              & $less(X15,X6)
              & ~ $less(X15,0) )
          & ( tb2t(get2(int,t2tb1(X0),X14)) = X16 )
          & $less(X14,X6)
          & ~ $less(X14,0) ) ),
    inference(theory_normalization,[],[f36]) ).

tff(f36,axiom,
    ! [X0: array_int,X16: $int,X6: $int] :
      ( appear_twice1(X0,X16,X6)
    <=> ? [X14: $int] :
          ( ? [X15: $int] :
              ( ( tb2t(get2(int,t2tb1(X0),X15)) = X16 )
              & ( X14 != X15 )
              & $less(X15,X6)
              & $lesseq(0,X15) )
          & ( tb2t(get2(int,t2tb1(X0),X14)) = X16 )
          & $less(X14,X6)
          & $lesseq(0,X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f878,plain,
    appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0),
    inference(backward_demodulation,[],[f482,f249]) ).

tff(f249,plain,
    sK0 = $sum(2,sK2),
    inference(superposition,[],[f51,f141]) ).

tff(f141,plain,
    sK0 = $sum(sK2,2),
    inference(cnf_transformation,[],[f106]) ).

tff(f106,plain,
    ? [X0: $int,X1: map_int_int,X2: $int] :
      ( ? [X6: $int,X7: $int,X8: map_int_bool] :
          ( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum(X2,2))
          & ( ! [X9: $int] :
                ( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,$sum($sum(X2,1),1))
                | ( X7 = X9 )
                | ~ $less(X9,X2)
                | $less(X9,0) )
            | ( $uminus(1) != X6 ) )
          & ( ! [X10: $int] :
                ( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum($sum(X2,1),1))
                | ~ $less(X10,X2)
                | $less(X10,0) )
            | ( $uminus(1) != X7 ) )
          & ! [X11: $int] :
              ( ( ! [X12: $int] :
                    ( ( tb2t(get(int,int,t2tb2(X1),t2tb(X12))) != X11 )
                    | ~ $less(X12,$sum($sum(X2,1),1))
                    | $less(X12,0) )
                & ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
              | ( ? [X13: $int] :
                    ( ( tb2t(get(int,int,t2tb2(X1),t2tb(X13))) = X11 )
                    & $less(X13,$sum($sum(X2,1),1))
                    & ~ $less(X13,0) )
                & ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
              | ~ $less(X11,X2)
              | $less(X11,0) )
          & ( ( ( X6 != X7 )
              & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1)) )
            | ( $uminus(1) = X6 ) )
          & ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1))
            | ( $uminus(1) = X7 ) )
          & ( ( $uminus(1) = X6 )
            | ( $uminus(1) != X7 ) ) )
      & ~ $less($sum(X2,1),0)
      & ~ $less(X2,0)
      & ~ $less(X2,0)
      & ? [X3: $int] :
          ( ? [X4: $int] :
              ( ( X3 != X4 )
              & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) )
          & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum(X2,2)) )
      & ! [X5: $int] :
          ( ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),X2)
            & ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),0) )
          | ~ $less(X5,X0)
          | $less(X5,0) )
      & ~ $less(X2,2)
      & ( $sum(X2,2) = X0 )
      & ~ $less(X0,0) ),
    inference(flattening,[],[f105]) ).

tff(f105,plain,
    ? [X0: $int,X1: map_int_int,X2: $int] :
      ( ? [X6: $int,X7: $int,X8: map_int_bool] :
          ( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum(X2,2))
          & ( ! [X9: $int] :
                ( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,$sum($sum(X2,1),1))
                | ( X7 = X9 )
                | ~ $less(X9,X2)
                | $less(X9,0) )
            | ( $uminus(1) != X6 ) )
          & ( ! [X10: $int] :
                ( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum($sum(X2,1),1))
                | ~ $less(X10,X2)
                | $less(X10,0) )
            | ( $uminus(1) != X7 ) )
          & ! [X11: $int] :
              ( ( ! [X12: $int] :
                    ( ( tb2t(get(int,int,t2tb2(X1),t2tb(X12))) != X11 )
                    | ~ $less(X12,$sum($sum(X2,1),1))
                    | $less(X12,0) )
                & ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
              | ( ? [X13: $int] :
                    ( ( tb2t(get(int,int,t2tb2(X1),t2tb(X13))) = X11 )
                    & $less(X13,$sum($sum(X2,1),1))
                    & ~ $less(X13,0) )
                & ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
              | ~ $less(X11,X2)
              | $less(X11,0) )
          & ( ( ( X6 != X7 )
              & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1)) )
            | ( $uminus(1) = X6 ) )
          & ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1))
            | ( $uminus(1) = X7 ) )
          & ( ( $uminus(1) = X6 )
            | ( $uminus(1) != X7 ) ) )
      & ~ $less($sum(X2,1),0)
      & ~ $less(X2,0)
      & ~ $less(X2,0)
      & ? [X3: $int] :
          ( ? [X4: $int] :
              ( ( X3 != X4 )
              & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) )
          & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum(X2,2)) )
      & ! [X5: $int] :
          ( ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),X2)
            & ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),0) )
          | ~ $less(X5,X0)
          | $less(X5,0) )
      & ~ $less(X2,2)
      & ( $sum(X2,2) = X0 )
      & ~ $less(X0,0) ),
    inference(ennf_transformation,[],[f69]) ).

tff(f69,plain,
    ~ ! [X0: $int,X1: map_int_int,X2: $int] :
        ( ( ? [X3: $int] :
              ( ? [X4: $int] :
                  ( ( X3 != X4 )
                  & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) )
              & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum(X2,2)) )
          & ! [X5: $int] :
              ( ( $less(X5,X0)
                & ~ $less(X5,0) )
             => ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),X2)
                & ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),0) ) )
          & ~ $less(X2,2)
          & ( $sum(X2,2) = X0 )
          & ~ $less(X0,0) )
       => ( ~ $less(X2,0)
         => ( ~ $less(X2,0)
           => ( ~ $less($sum(X2,1),0)
             => ! [X6: $int,X7: $int,X8: map_int_bool] :
                  ( ( ( ( $uminus(1) = X6 )
                     => ! [X9: $int] :
                          ( ( $less(X9,X2)
                            & ~ $less(X9,0) )
                         => ( ( X7 != X9 )
                           => ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,$sum($sum(X2,1),1)) ) ) )
                    & ( ( $uminus(1) = X7 )
                     => ! [X10: $int] :
                          ( ( $less(X10,X2)
                            & ~ $less(X10,0) )
                         => ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum($sum(X2,1),1)) ) )
                    & ! [X11: $int] :
                        ( ( $less(X11,X2)
                          & ~ $less(X11,0) )
                       => ( ( ! [X12: $int] :
                                ( ( $less(X12,$sum($sum(X2,1),1))
                                  & ~ $less(X12,0) )
                               => ( tb2t(get(int,int,t2tb2(X1),t2tb(X12))) != X11 ) )
                            & ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
                          | ( ? [X13: $int] :
                                ( ( tb2t(get(int,int,t2tb2(X1),t2tb(X13))) = X11 )
                                & $less(X13,$sum($sum(X2,1),1))
                                & ~ $less(X13,0) )
                            & ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) ) ) )
                    & ( ( $uminus(1) != X6 )
                     => ( ( X6 != X7 )
                        & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1)) ) )
                    & ( ( $uminus(1) != X7 )
                     => appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1)) )
                    & ( ( $uminus(1) = X7 )
                     => ( $uminus(1) = X6 ) ) )
                 => appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum(X2,2)) ) ) ) ) ),
    inference(rectify,[],[f48]) ).

tff(f48,plain,
    ~ ! [X0: $int,X10: map_int_int,X17: $int] :
        ( ( ? [X18: $int] :
              ( ? [X19: $int] :
                  ( ( X18 != X19 )
                  & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum(X17,2)) )
              & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) )
          & ! [X14: $int] :
              ( ( $less(X14,X0)
                & ~ $less(X14,0) )
             => ( $less(tb2t(get(int,int,t2tb2(X10),t2tb(X14))),X17)
                & ~ $less(tb2t(get(int,int,t2tb2(X10),t2tb(X14))),0) ) )
          & ~ $less(X17,2)
          & ( $sum(X17,2) = X0 )
          & ~ $less(X0,0) )
       => ( ~ $less(X17,0)
         => ( ~ $less(X17,0)
           => ( ~ $less($sum(X17,1),0)
             => ! [X19: $int,X18: $int,X20: map_int_bool] :
                  ( ( ( ( $uminus(1) = X19 )
                     => ! [X16: $int] :
                          ( ( $less(X16,X17)
                            & ~ $less(X16,0) )
                         => ( ( X16 != X18 )
                           => ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) ) )
                    & ( ( $uminus(1) = X18 )
                     => ! [X16: $int] :
                          ( ( $less(X16,X17)
                            & ~ $less(X16,0) )
                         => ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) )
                    & ! [X16: $int] :
                        ( ( $less(X16,X17)
                          & ~ $less(X16,0) )
                       => ( ( ! [X15: $int] :
                                ( ( $less(X15,$sum($sum(X17,1),1))
                                  & ~ $less(X15,0) )
                               => ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) != X16 ) )
                            & ( true1 != tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) )
                          | ( ? [X15: $int] :
                                ( ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) = X16 )
                                & $less(X15,$sum($sum(X17,1),1))
                                & ~ $less(X15,0) )
                            & ( true1 = tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) ) ) )
                    & ( ( $uminus(1) != X19 )
                     => ( ( X18 != X19 )
                        & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum($sum(X17,1),1)) ) )
                    & ( ( $uminus(1) != X18 )
                     => appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum($sum(X17,1),1)) )
                    & ( ( $uminus(1) = X18 )
                     => ( $uminus(1) = X19 ) ) )
                 => appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) ) ) ) ) ),
    inference(theory_normalization,[],[f47]) ).

tff(f47,negated_conjecture,
    ~ ! [X0: $int,X10: map_int_int,X17: $int] :
        ( ( ? [X18: $int] :
              ( ? [X19: $int] :
                  ( ( X18 != X19 )
                  & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum(X17,2)) )
              & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) )
          & ! [X14: $int] :
              ( ( $less(X14,X0)
                & $lesseq(0,X14) )
             => ( $less(tb2t(get(int,int,t2tb2(X10),t2tb(X14))),X17)
                & $lesseq(0,tb2t(get(int,int,t2tb2(X10),t2tb(X14)))) ) )
          & $lesseq(2,X17)
          & ( $sum(X17,2) = X0 )
          & $lesseq(0,X0) )
       => ( $lesseq(0,X17)
         => ( $lesseq(0,X17)
           => ( $lesseq(0,$sum(X17,1))
             => ! [X19: $int,X18: $int,X20: map_int_bool] :
                  ( ( ( ( $uminus(1) = X19 )
                     => ! [X16: $int] :
                          ( ( $less(X16,X17)
                            & $lesseq(0,X16) )
                         => ( ( X16 != X18 )
                           => ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) ) )
                    & ( ( $uminus(1) = X18 )
                     => ! [X16: $int] :
                          ( ( $less(X16,X17)
                            & $lesseq(0,X16) )
                         => ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) )
                    & ! [X16: $int] :
                        ( ( $less(X16,X17)
                          & $lesseq(0,X16) )
                       => ( ( ! [X15: $int] :
                                ( ( $less(X15,$sum($sum(X17,1),1))
                                  & $lesseq(0,X15) )
                               => ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) != X16 ) )
                            & ( true1 != tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) )
                          | ( ? [X15: $int] :
                                ( ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) = X16 )
                                & $less(X15,$sum($sum(X17,1),1))
                                & $lesseq(0,X15) )
                            & ( true1 = tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) ) ) )
                    & ( ( $uminus(1) != X19 )
                     => ( ( X18 != X19 )
                        & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum($sum(X17,1),1)) ) )
                    & ( ( $uminus(1) != X18 )
                     => appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum($sum(X17,1),1)) )
                    & ( ( $uminus(1) = X18 )
                     => ( $uminus(1) = X19 ) ) )
                 => appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) ) ) ) ) ),
    inference(negated_conjecture,[],[f46]) ).

tff(f46,conjecture,
    ! [X0: $int,X10: map_int_int,X17: $int] :
      ( ( ? [X18: $int] :
            ( ? [X19: $int] :
                ( ( X18 != X19 )
                & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum(X17,2)) )
            & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) )
        & ! [X14: $int] :
            ( ( $less(X14,X0)
              & $lesseq(0,X14) )
           => ( $less(tb2t(get(int,int,t2tb2(X10),t2tb(X14))),X17)
              & $lesseq(0,tb2t(get(int,int,t2tb2(X10),t2tb(X14)))) ) )
        & $lesseq(2,X17)
        & ( $sum(X17,2) = X0 )
        & $lesseq(0,X0) )
     => ( $lesseq(0,X17)
       => ( $lesseq(0,X17)
         => ( $lesseq(0,$sum(X17,1))
           => ! [X19: $int,X18: $int,X20: map_int_bool] :
                ( ( ( ( $uminus(1) = X19 )
                   => ! [X16: $int] :
                        ( ( $less(X16,X17)
                          & $lesseq(0,X16) )
                       => ( ( X16 != X18 )
                         => ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) ) )
                  & ( ( $uminus(1) = X18 )
                   => ! [X16: $int] :
                        ( ( $less(X16,X17)
                          & $lesseq(0,X16) )
                       => ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) )
                  & ! [X16: $int] :
                      ( ( $less(X16,X17)
                        & $lesseq(0,X16) )
                     => ( ( ! [X15: $int] :
                              ( ( $less(X15,$sum($sum(X17,1),1))
                                & $lesseq(0,X15) )
                             => ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) != X16 ) )
                          & ( true1 != tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) )
                        | ( ? [X15: $int] :
                              ( ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) = X16 )
                              & $less(X15,$sum($sum(X17,1),1))
                              & $lesseq(0,X15) )
                          & ( true1 = tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) ) ) )
                  & ( ( $uminus(1) != X19 )
                   => ( ( X18 != X19 )
                      & appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum($sum(X17,1),1)) ) )
                  & ( ( $uminus(1) != X18 )
                   => appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum($sum(X17,1),1)) )
                  & ( ( $uminus(1) = X18 )
                   => ( $uminus(1) = X19 ) ) )
               => appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f51,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f482,plain,
    appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,$sum(2,sK2)),
    inference(forward_demodulation,[],[f139,f51]) ).

tff(f139,plain,
    appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,$sum(sK2,2)),
    inference(cnf_transformation,[],[f106]) ).

tff(f6446,plain,
    ( $less(sK3,sK2)
    | $less(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0),0) ),
    inference(subsumption_resolution,[],[f6411,f887]) ).

tff(f887,plain,
    $less(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0),sK0),
    inference(resolution,[],[f878,f188]) ).

tff(f188,plain,
    ! [X2: $int,X0: array_int,X1: $int] :
      ( ~ appear_twice1(X0,X1,X2)
      | $less(sK9(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f98]) ).

tff(f6411,plain,
    ( $less(sK3,sK2)
    | ~ $less(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0),sK0)
    | $less(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0),0) ),
    inference(superposition,[],[f137,f2227]) ).

tff(f2227,plain,
    sK3 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0)))),
    inference(forward_demodulation,[],[f2226,f610]) ).

tff(f610,plain,
    ! [X0: $int,X1: map_int_int] : ( t2tb2(X1) = elts(int,mk_array1(int,X0,t2tb2(X1))) ),
    inference(resolution,[],[f181,f161]) ).

tff(f161,plain,
    ! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
    inference(cnf_transformation,[],[f83]) ).

tff(f83,plain,
    ! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
    inference(rectify,[],[f37]) ).

tff(f37,axiom,
    ! [X1: map_int_int] : sort1(map(int,int),t2tb2(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f181,plain,
    ! [X2: uni,X0: ty,X1: $int] :
      ( ~ sort1(map(int,X0),X2)
      | ( elts(X0,mk_array1(X0,X1,X2)) = X2 ) ),
    inference(cnf_transformation,[],[f115]) ).

tff(f115,plain,
    ! [X0: ty,X1: $int,X2: uni] :
      ( ( elts(X0,mk_array1(X0,X1,X2)) = X2 )
      | ~ sort1(map(int,X0),X2) ),
    inference(ennf_transformation,[],[f97]) ).

tff(f97,plain,
    ! [X0: ty,X1: $int,X2: uni] :
      ( sort1(map(int,X0),X2)
     => ( elts(X0,mk_array1(X0,X1,X2)) = X2 ) ),
    inference(rectify,[],[f22]) ).

tff(f22,axiom,
    ! [X0: ty,X6: $int,X13: uni] :
      ( sort1(map(int,X0),X13)
     => ( elts(X0,mk_array1(X0,X6,X13)) = X13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2226,plain,
    sK3 = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0)))),
    inference(forward_demodulation,[],[f2224,f154]) ).

tff(f154,plain,
    ! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
    inference(cnf_transformation,[],[f76]) ).

tff(f76,plain,
    ! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
    inference(rectify,[],[f35]) ).

tff(f35,axiom,
    ! [X15: uni] : ( t2tb1(tb2t1(X15)) = X15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2224,plain,
    sK3 = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0)))),
    inference(resolution,[],[f878,f200]) ).

tff(f200,plain,
    ! [X2: $int,X0: array_int,X1: $int] :
      ( ~ appear_twice1(X0,X1,X2)
      | ( tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK9(X0,X1,X2)))) = X1 ) ),
    inference(definition_unfolding,[],[f189,f177]) ).

tff(f177,plain,
    ! [X2: $int,X0: ty,X1: uni] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
    inference(cnf_transformation,[],[f93]) ).

tff(f93,plain,
    ! [X0: ty,X1: uni,X2: $int] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
    inference(rectify,[],[f28]) ).

tff(f28,axiom,
    ! [X0: ty,X10: uni,X14: $int] : ( get2(X0,X10,X14) = get(X0,int,elts(X0,X10),t2tb(X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f189,plain,
    ! [X2: $int,X0: array_int,X1: $int] :
      ( ( tb2t(get2(int,t2tb1(X0),sK9(X0,X1,X2))) = X1 )
      | ~ appear_twice1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f98]) ).

tff(f137,plain,
    ! [X5: $int] :
      ( $less(tb2t(get(int,int,t2tb2(sK1),t2tb(X5))),sK2)
      | ~ $less(X5,sK0)
      | $less(X5,0) ),
    inference(cnf_transformation,[],[f106]) ).

tff(f6439,plain,
    ~ spl11_12,
    inference(avatar_contradiction_clause,[],[f6438]) ).

tff(f6438,plain,
    ( $false
    | ~ spl11_12 ),
    inference(subsumption_resolution,[],[f6437,f886]) ).

tff(f6437,plain,
    ( $less(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0),0)
    | ~ spl11_12 ),
    inference(forward_demodulation,[],[f6436,f155]) ).

tff(f155,plain,
    ! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
    inference(cnf_transformation,[],[f77]) ).

tff(f77,plain,
    ! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
    inference(rectify,[],[f26]) ).

tff(f26,axiom,
    ! [X14: $int] : ( tb2t(t2tb(X14)) = X14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6436,plain,
    ( $less(tb2t(t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0))),0)
    | ~ spl11_12 ),
    inference(subsumption_resolution,[],[f6435,f887]) ).

tff(f6435,plain,
    ( ~ $less(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0),sK0)
    | $less(tb2t(t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0))),0)
    | ~ spl11_12 ),
    inference(forward_demodulation,[],[f6434,f155]) ).

tff(f6434,plain,
    ( ~ $less(tb2t(t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0))),sK0)
    | $less(tb2t(t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0))),0)
    | ~ spl11_12 ),
    inference(subsumption_resolution,[],[f6416,f1158]) ).

tff(f1158,plain,
    ( $less(sK3,0)
    | ~ spl11_12 ),
    inference(avatar_component_clause,[],[f1156]) ).

tff(f1156,plain,
    ( spl11_12
  <=> $less(sK3,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).

tff(f6416,plain,
    ( ~ $less(sK3,0)
    | ~ $less(tb2t(t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0))),sK0)
    | $less(tb2t(t2tb(sK9(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK3,sK0))),0) ),
    inference(superposition,[],[f856,f2227]) ).

tff(f856,plain,
    ! [X0: uni] :
      ( ~ $less(tb2t(get(int,int,t2tb2(sK1),X0)),0)
      | ~ $less(tb2t(X0),sK0)
      | $less(tb2t(X0),0) ),
    inference(superposition,[],[f136,f157]) ).

tff(f157,plain,
    ! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
    inference(cnf_transformation,[],[f79]) ).

tff(f79,plain,
    ! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
    inference(rectify,[],[f27]) ).

tff(f27,axiom,
    ! [X15: uni] : ( t2tb(tb2t(X15)) = X15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f136,plain,
    ! [X5: $int] :
      ( ~ $less(tb2t(get(int,int,t2tb2(sK1),t2tb(X5))),0)
      | ~ $less(X5,sK0)
      | $less(X5,0) ),
    inference(cnf_transformation,[],[f106]) ).

tff(f1159,plain,
    ( ~ spl11_11
    | spl11_12
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f903,f237,f1156,f1152]) ).

tff(f237,plain,
    ( spl11_3
  <=> ( sK5 = -1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

tff(f903,plain,
    ( $less(sK3,0)
    | ~ $less(sK3,sK2)
    | ~ spl11_3 ),
    inference(resolution,[],[f902,f878]) ).

tff(f902,plain,
    ( ! [X10: $int] :
        ( ~ appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),X10,sK0)
        | $less(X10,0)
        | ~ $less(X10,sK2) )
    | ~ spl11_3 ),
    inference(forward_demodulation,[],[f901,f249]) ).

tff(f901,plain,
    ( ! [X10: $int] :
        ( $less(X10,0)
        | ~ $less(X10,sK2)
        | ~ appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),X10,$sum(2,sK2)) )
    | ~ spl11_3 ),
    inference(subsumption_resolution,[],[f217,f238]) ).

tff(f238,plain,
    ( ( sK5 = -1 )
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f237]) ).

tff(f217,plain,
    ! [X10: $int] :
      ( ( sK5 != -1 )
      | $less(X10,0)
      | ~ $less(X10,sK2)
      | ~ appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),X10,$sum(2,sK2)) ),
    inference(evaluation,[],[f129]) ).

tff(f129,plain,
    ! [X10: $int] :
      ( ( $uminus(1) != sK5 )
      | $less(X10,0)
      | ~ $less(X10,sK2)
      | ~ appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),X10,$sum($sum(sK2,1),1)) ),
    inference(cnf_transformation,[],[f106]) ).

tff(f753,plain,
    spl11_3,
    inference(avatar_contradiction_clause,[],[f752]) ).

tff(f752,plain,
    ( $false
    | spl11_3 ),
    inference(global_subsumption,[],[f720,f459]) ).

tff(f459,plain,
    ~ appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK5,$sum(2,sK2)),
    inference(forward_demodulation,[],[f138,f51]) ).

tff(f138,plain,
    ~ appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK5,$sum(sK2,2)),
    inference(cnf_transformation,[],[f106]) ).

tff(f720,plain,
    ( appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK5,$sum(2,sK2))
    | spl11_3 ),
    inference(subsumption_resolution,[],[f220,f239]) ).

tff(f239,plain,
    ( ( sK5 != -1 )
    | spl11_3 ),
    inference(avatar_component_clause,[],[f237]) ).

tff(f220,plain,
    ( ( sK5 = -1 )
    | appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK5,$sum(2,sK2)) ),
    inference(evaluation,[],[f134]) ).

tff(f134,plain,
    ( ( $uminus(1) = sK5 )
    | appear_twice1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK5,$sum($sum(sK2,1),1)) ),
    inference(cnf_transformation,[],[f106]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWW599_2 : TPTP v8.2.0. Released v6.1.0.
% 0.12/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 04:48:09 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.37  This is a TF0_THM_EQU_ARI problem
% 0.12/0.37  Running first-order model finding
% 0.12/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.44  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (12506)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.23/0.44  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (12508)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.23/0.45  % (12506)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (12508)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (12506)Terminated due to inappropriate strategy.
% 0.23/0.45  % (12506)------------------------------
% 0.23/0.45  % (12506)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45  % (12506)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45  % (12506)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (12506)Memory used [KB]: 831
% 0.23/0.45  % (12506)Time elapsed: 0.005 s
% 0.23/0.45  % (12506)Instructions burned: 7 (million)
% 0.23/0.45  % (12508)Terminated due to inappropriate strategy.
% 0.23/0.45  % (12508)------------------------------
% 0.23/0.45  % (12508)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45  % (12508)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45  % (12508)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (12508)Memory used [KB]: 864
% 0.23/0.45  % (12508)Time elapsed: 0.005 s
% 0.23/0.45  % (12508)Instructions burned: 7 (million)
% 0.23/0.45  % (12506)------------------------------
% 0.23/0.45  % (12506)------------------------------
% 0.23/0.45  % (12508)------------------------------
% 0.23/0.45  % (12508)------------------------------
% 0.23/0.45  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (12509)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.23/0.45  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (12511)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.23/0.45  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (12507)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.23/0.45  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (12512)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.23/0.45  % (12509)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (12509)Terminated due to inappropriate strategy.
% 0.23/0.45  % (12509)------------------------------
% 0.23/0.45  % (12509)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45  % (12509)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45  % (12509)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (12509)Memory used [KB]: 790
% 0.23/0.45  % (12509)Time elapsed: 0.005 s
% 0.23/0.45  % (12509)Instructions burned: 6 (million)
% 0.23/0.45  % (12509)------------------------------
% 0.23/0.45  % (12509)------------------------------
% 0.23/0.46  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (12510)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.23/0.51  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51  % (12514)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.23/0.51  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51  % (12513)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.23/0.51  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51  % (12515)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.23/0.52  % (12512)Instruction limit reached!
% 0.23/0.52  % (12512)------------------------------
% 0.23/0.52  % (12512)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (12512)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (12512)Termination reason: Time limit
% 0.23/0.52  % (12512)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (12512)Memory used [KB]: 1918
% 0.23/0.52  % (12512)Time elapsed: 0.067 s
% 0.23/0.52  % (12512)Instructions burned: 115 (million)
% 0.23/0.52  % (12510)Instruction limit reached!
% 0.23/0.52  % (12510)------------------------------
% 0.23/0.52  % (12510)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (12510)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (12510)Termination reason: Time limit
% 0.23/0.52  % (12510)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (12510)Memory used [KB]: 1775
% 0.23/0.52  % (12510)Time elapsed: 0.066 s
% 0.23/0.52  % (12510)Instructions burned: 105 (million)
% 0.23/0.54  % (12511)Instruction limit reached!
% 0.23/0.54  % (12511)------------------------------
% 0.23/0.54  % (12511)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.54  % (12511)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.54  % (12511)Termination reason: Time limit
% 0.23/0.54  % (12511)Termination phase: Saturation
% 0.23/0.54  
% 0.23/0.54  % (12511)Memory used [KB]: 1908
% 0.23/0.54  % (12511)Time elapsed: 0.095 s
% 0.23/0.54  % (12511)Instructions burned: 146 (million)
% 0.23/0.58  % (12505)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.58  % (12516)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.53/0.58  % (12505)Running in auto input_syntax mode. Trying TPTP
% 1.53/0.58  % (12517)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 1.53/0.59  % (12517)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.53/0.59  % (12517)Terminated due to inappropriate strategy.
% 1.53/0.59  % (12517)------------------------------
% 1.53/0.59  % (12517)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.53/0.59  % (12517)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.53/0.59  % (12517)Termination reason: Inappropriate
% 1.53/0.59  
% 1.53/0.59  % (12517)Memory used [KB]: 808
% 1.53/0.59  % (12517)Time elapsed: 0.004 s
% 1.53/0.59  % (12517)Instructions burned: 6 (million)
% 1.53/0.59  % (12517)------------------------------
% 1.53/0.59  % (12517)------------------------------
% 1.71/0.60  % (12514)Instruction limit reached!
% 1.71/0.60  % (12514)------------------------------
% 1.71/0.60  % (12514)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.71/0.60  % (12514)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.71/0.60  % (12514)Termination reason: Time limit
% 1.71/0.60  % (12514)Termination phase: Saturation
% 1.71/0.60  
% 1.71/0.60  % (12514)Memory used [KB]: 2280
% 1.71/0.60  % (12514)Time elapsed: 0.097 s
% 1.71/0.60  % (12514)Instructions burned: 176 (million)
% 1.71/0.60  % (12505)Running in auto input_syntax mode. Trying TPTP
% 1.71/0.60  % (12518)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 1.91/0.65  % (12505)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.65  % (12519)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2998ds/1187Mi)
% 1.91/0.66  % (12505)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.66  % (12520)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2997ds/23580Mi)
% 1.91/0.66  % (12520)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.91/0.66  % (12520)Terminated due to inappropriate strategy.
% 1.91/0.66  % (12520)------------------------------
% 1.91/0.66  % (12520)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.67  % (12520)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.67  % (12520)Termination reason: Inappropriate
% 1.91/0.67  
% 1.91/0.67  % (12520)Memory used [KB]: 786
% 1.91/0.67  % (12520)Time elapsed: 0.004 s
% 1.91/0.67  % (12520)Instructions burned: 6 (million)
% 1.91/0.67  % (12520)------------------------------
% 1.91/0.67  % (12520)------------------------------
% 1.91/0.67  % (12515)Instruction limit reached!
% 1.91/0.67  % (12515)------------------------------
% 1.91/0.67  % (12515)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.67  % (12515)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.67  % (12515)Termination reason: Time limit
% 1.91/0.67  % (12515)Termination phase: Saturation
% 1.91/0.67  
% 1.91/0.67  % (12515)Memory used [KB]: 3010
% 1.91/0.67  % (12515)Time elapsed: 0.163 s
% 1.91/0.67  % (12515)Instructions burned: 271 (million)
% 1.91/0.72  % (12505)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.72  % (12521)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2997ds/2892Mi)
% 1.91/0.73  % (12521)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.91/0.73  % (12521)Terminated due to inappropriate strategy.
% 1.91/0.73  % (12521)------------------------------
% 1.91/0.73  % (12521)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.73  % (12521)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.73  % (12521)Termination reason: Inappropriate
% 1.91/0.73  
% 1.91/0.73  % (12521)Memory used [KB]: 808
% 1.91/0.73  % (12521)Time elapsed: 0.005 s
% 1.91/0.73  % (12521)Instructions burned: 7 (million)
% 1.91/0.73  % (12521)------------------------------
% 1.91/0.73  % (12521)------------------------------
% 1.91/0.73  % (12505)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.73  % (12522)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2997ds/1693Mi)
% 2.47/0.75  % (12513)Instruction limit reached!
% 2.47/0.75  % (12513)------------------------------
% 2.47/0.75  % (12513)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.47/0.75  % (12513)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.47/0.75  % (12513)Termination reason: Time limit
% 2.47/0.75  % (12513)Termination phase: Saturation
% 2.47/0.75  
% 2.47/0.75  % (12513)Memory used [KB]: 3735
% 2.47/0.75  % (12513)Time elapsed: 0.246 s
% 2.47/0.75  % (12513)Instructions burned: 404 (million)
% 2.47/0.79  % (12505)Running in auto input_syntax mode. Trying TPTP
% 2.47/0.79  % (12523)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2996ds/1735Mi)
% 2.66/0.81  % (12505)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.81  % (12524)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2996ds/131798Mi)
% 2.66/0.81  % (12524)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.66/0.81  % (12524)Terminated due to inappropriate strategy.
% 2.66/0.81  % (12524)------------------------------
% 2.66/0.81  % (12524)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.81  % (12524)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.81  % (12524)Termination reason: Inappropriate
% 2.66/0.81  
% 2.66/0.81  % (12524)Memory used [KB]: 809
% 2.66/0.81  % (12524)Time elapsed: 0.004 s
% 2.66/0.81  % (12524)Instructions burned: 6 (million)
% 2.66/0.81  % (12524)------------------------------
% 2.66/0.81  % (12524)------------------------------
% 2.92/0.87  % (12505)Running in auto input_syntax mode. Trying TPTP
% 2.92/0.87  % (12525)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2995ds/3451Mi)
% 2.92/0.87  % (12525)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.92/0.87  % (12525)Terminated due to inappropriate strategy.
% 2.92/0.87  % (12525)------------------------------
% 2.92/0.87  % (12525)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.92/0.87  % (12525)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.92/0.87  % (12525)Termination reason: Inappropriate
% 2.92/0.87  
% 2.92/0.87  % (12525)Memory used [KB]: 786
% 2.92/0.87  % (12525)Time elapsed: 0.005 s
% 2.92/0.87  % (12525)Instructions burned: 6 (million)
% 2.92/0.87  % (12525)------------------------------
% 2.92/0.87  % (12525)------------------------------
% 3.10/0.93  % (12505)Running in auto input_syntax mode. Trying TPTP
% 3.10/0.93  % (12526)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2995ds/3978Mi)
% 3.54/1.07  % (12516)Instruction limit reached!
% 3.54/1.07  % (12516)------------------------------
% 3.54/1.07  % (12516)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.54/1.07  % (12516)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.54/1.07  % (12516)Termination reason: Time limit
% 3.54/1.07  % (12516)Termination phase: Saturation
% 3.54/1.07  
% 3.54/1.07  % (12516)Memory used [KB]: 6685
% 3.54/1.07  % (12516)Time elapsed: 0.495 s
% 3.54/1.07  % (12516)Instructions burned: 900 (million)
% 3.69/1.10  % (12523)First to succeed.
% 3.69/1.11  % (12523)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12505"
% 3.69/1.12  % (12505)Running in auto input_syntax mode. Trying TPTP
% 3.69/1.12  % (12523)Refutation found. Thanks to Tanya!
% 3.69/1.12  % SZS status Theorem for theBenchmark
% 3.69/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.12  % (12523)------------------------------
% 3.69/1.12  % (12523)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.69/1.12  % (12523)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.69/1.12  % (12523)Termination reason: Refutation
% 3.69/1.12  
% 3.69/1.12  % (12523)Memory used [KB]: 7070
% 3.69/1.12  % (12523)Time elapsed: 0.327 s
% 3.69/1.12  % (12523)Instructions burned: 618 (million)
% 3.69/1.12  % (12523)------------------------------
% 3.69/1.12  % (12523)------------------------------
% 3.69/1.12  % (12505)Success in time 0.723 s
%------------------------------------------------------------------------------