TSTP Solution File: DAT032_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT032_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:18:37 EDT 2024

% Result   : Theorem 1.09s 0.95s
% Output   : Refutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  172 (  15 unt;  11 typ;   0 def)
%            Number of atoms       :  395 (  92 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  402 ( 168   ~; 191   |;  13   &)
%                                         (  24 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  308 (  74 atm;  41 fun; 145 num;  48 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  16 usr;  16 prp; 0-2 aty)
%            Number of functors    :   18 (   9 usr;  12 con; 0-2 aty)
%            Number of variables   :   79 (  77   !;   2   ?;  79   :)

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

tff(func_def_0,type,
    empty: collection ).

tff(func_def_1,type,
    add: ( $int * collection ) > collection ).

tff(func_def_2,type,
    remove: ( $int * collection ) > collection ).

tff(func_def_3,type,
    count: collection > $int ).

tff(func_def_13,type,
    sK0: collection ).

tff(func_def_14,type,
    sF1: collection ).

tff(func_def_15,type,
    sF2: $int ).

tff(func_def_16,type,
    sF3: collection ).

tff(func_def_17,type,
    sF4: $int ).

tff(pred_def_1,type,
    in: ( $int * collection ) > $o ).

tff(f2526,plain,
    $false,
    inference(avatar_sat_refutation,[],[f114,f161,f421,f437,f954,f1389,f1431,f1437,f1493,f1518,f1526,f1530,f2248,f2254,f2269,f2292,f2333,f2426,f2523]) ).

tff(f2523,plain,
    ( ~ spl5_3
    | ~ spl5_72 ),
    inference(avatar_contradiction_clause,[],[f2522]) ).

tff(f2522,plain,
    ( $false
    | ~ spl5_3
    | ~ spl5_72 ),
    inference(evaluation,[],[f2492]) ).

tff(f2492,plain,
    ( $less(6,6)
    | ~ spl5_3
    | ~ spl5_72 ),
    inference(superposition,[],[f67,f2454]) ).

tff(f2454,plain,
    ( ( 6 = sF2 )
    | ~ spl5_3
    | ~ spl5_72 ),
    inference(evaluation,[],[f2453]) ).

tff(f2453,plain,
    ( ( sF2 = $sum(7,-1) )
    | ~ spl5_3
    | ~ spl5_72 ),
    inference(forward_demodulation,[],[f2287,f109]) ).

tff(f109,plain,
    ( ( 7 = sF4 )
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f107]) ).

tff(f107,plain,
    ( spl5_3
  <=> ( 7 = sF4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

tff(f2287,plain,
    ( ( sF2 = $sum(sF4,-1) )
    | ~ spl5_72 ),
    inference(avatar_component_clause,[],[f2286]) ).

tff(f2286,plain,
    ( spl5_72
  <=> ( sF2 = $sum(sF4,-1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).

tff(f67,plain,
    $less(sF2,6),
    inference(definition_folding,[],[f49,f66,f65]) ).

tff(f65,plain,
    remove(4,sK0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

tff(f66,plain,
    count(sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

tff(f49,plain,
    $less(count(remove(4,sK0)),6),
    inference(cnf_transformation,[],[f41]) ).

tff(f41,plain,
    ( $less(count(remove(4,sK0)),6)
    & ~ $less(count(remove(5,sK0)),7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f40]) ).

tff(f40,plain,
    ( ? [X0: collection] :
        ( $less(count(remove(4,X0)),6)
        & ~ $less(count(remove(5,X0)),7) )
   => ( $less(count(remove(4,sK0)),6)
      & ~ $less(count(remove(5,sK0)),7) ) ),
    introduced(choice_axiom,[]) ).

tff(f38,plain,
    ? [X0: collection] :
      ( $less(count(remove(4,X0)),6)
      & ~ $less(count(remove(5,X0)),7) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f17,plain,
    ~ ! [X0: collection] :
        ( ~ $less(count(remove(5,X0)),7)
       => ~ $less(count(remove(4,X0)),6) ),
    inference(theory_normalization,[],[f14]) ).

tff(f14,negated_conjecture,
    ~ ! [X0: collection] :
        ( $greatereq(count(remove(5,X0)),7)
       => $greatereq(count(remove(4,X0)),6) ),
    inference(negated_conjecture,[],[f13]) ).

tff(f13,conjecture,
    ! [X0: collection] :
      ( $greatereq(count(remove(5,X0)),7)
     => $greatereq(count(remove(4,X0)),6) ),
    file('/export/starexec/sandbox/tmp/tmp.pBNPMZcXtl/Vampire---4.8_28275',co1) ).

tff(f2426,plain,
    ( ~ spl5_3
    | spl5_18
    | ~ spl5_53 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

tff(f2425,plain,
    ( $false
    | ~ spl5_3
    | spl5_18
    | ~ spl5_53 ),
    inference(subsumption_resolution,[],[f2412,f1748]) ).

tff(f1748,plain,
    ( $less(sF2,7)
    | ~ spl5_53 ),
    inference(avatar_component_clause,[],[f1746]) ).

tff(f1746,plain,
    ( spl5_53
  <=> $less(sF2,7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).

tff(f2412,plain,
    ( ~ $less(sF2,7)
    | ~ spl5_3
    | spl5_18 ),
    inference(superposition,[],[f434,f109]) ).

tff(f434,plain,
    ( ~ $less(sF2,sF4)
    | spl5_18 ),
    inference(avatar_component_clause,[],[f433]) ).

tff(f433,plain,
    ( spl5_18
  <=> $less(sF2,sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).

tff(f2333,plain,
    ( ~ spl5_40
    | spl5_43
    | ~ spl5_44 ),
    inference(avatar_contradiction_clause,[],[f2332]) ).

tff(f2332,plain,
    ( $false
    | ~ spl5_40
    | spl5_43
    | ~ spl5_44 ),
    inference(subsumption_resolution,[],[f2321,f1481]) ).

tff(f1481,plain,
    ( ( sF2 != sF4 )
    | spl5_43 ),
    inference(avatar_component_clause,[],[f1479]) ).

tff(f1479,plain,
    ( spl5_43
  <=> ( sF2 = sF4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).

tff(f2321,plain,
    ( ( sF2 = sF4 )
    | ~ spl5_40
    | ~ spl5_44 ),
    inference(superposition,[],[f1452,f1489]) ).

tff(f1489,plain,
    ( ( sF2 = count(sK0) )
    | ~ spl5_44 ),
    inference(avatar_component_clause,[],[f1488]) ).

tff(f1488,plain,
    ( spl5_44
  <=> ( sF2 = count(sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).

tff(f1452,plain,
    ( ( sF4 = count(sK0) )
    | ~ spl5_40 ),
    inference(avatar_component_clause,[],[f1451]) ).

tff(f1451,plain,
    ( spl5_40
  <=> ( sF4 = count(sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).

tff(f2292,plain,
    ( ~ spl5_7
    | spl5_72
    | ~ spl5_40 ),
    inference(avatar_split_clause,[],[f2291,f1451,f2286,f145]) ).

tff(f145,plain,
    ( spl5_7
  <=> in(4,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

tff(f2291,plain,
    ( ( sF2 = $sum(sF4,-1) )
    | ~ in(4,sK0)
    | ~ spl5_40 ),
    inference(forward_demodulation,[],[f2290,f66]) ).

tff(f2290,plain,
    ( ( count(sF1) = $sum(sF4,-1) )
    | ~ in(4,sK0)
    | ~ spl5_40 ),
    inference(forward_demodulation,[],[f304,f1452]) ).

tff(f304,plain,
    ( ( count(sF1) = $sum(count(sK0),-1) )
    | ~ in(4,sK0) ),
    inference(superposition,[],[f71,f65]) ).

tff(f71,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),-1) )
      | ~ in(X0,X1) ),
    inference(evaluation,[],[f53]) ).

tff(f53,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

tff(f43,plain,
    ! [X0: $int,X1: collection] :
      ( ( in(X0,X1)
        | ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) )
      & ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
        | ~ in(X0,X1) ) ),
    inference(nnf_transformation,[],[f32]) ).

tff(f32,plain,
    ! [X0: $int,X1: collection] :
      ( in(X0,X1)
    <=> ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ! [X17: $int,X18: collection] :
      ( in(X17,X18)
    <=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
    inference(theory_normalization,[],[f10]) ).

tff(f10,axiom,
    ! [X17: $int,X18: collection] :
      ( in(X17,X18)
    <=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pBNPMZcXtl/Vampire---4.8_28275',ax5) ).

tff(f2269,plain,
    ~ spl5_49,
    inference(avatar_contradiction_clause,[],[f2268]) ).

tff(f2268,plain,
    ( $false
    | ~ spl5_49 ),
    inference(evaluation,[],[f2255]) ).

tff(f2255,plain,
    ( $less(7,6)
    | ~ spl5_49 ),
    inference(resolution,[],[f1729,f82]) ).

tff(f82,plain,
    ! [X0: $int] :
      ( ~ $less(X0,sF2)
      | $less(X0,6) ),
    inference(resolution,[],[f24,f67]) ).

tff(f24,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_143,[]) ).

tff(f1729,plain,
    ( $less(7,sF2)
    | ~ spl5_49 ),
    inference(avatar_component_clause,[],[f1728]) ).

tff(f1728,plain,
    ( spl5_49
  <=> $less(7,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).

tff(f2254,plain,
    ( spl5_53
    | spl5_16
    | spl5_49 ),
    inference(avatar_split_clause,[],[f2253,f1728,f414,f1746]) ).

tff(f414,plain,
    ( spl5_16
  <=> ( 7 = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).

tff(f2253,plain,
    ( $less(sF2,7)
    | spl5_16
    | spl5_49 ),
    inference(subsumption_resolution,[],[f1754,f416]) ).

tff(f416,plain,
    ( ( 7 != sF2 )
    | spl5_16 ),
    inference(avatar_component_clause,[],[f414]) ).

tff(f1754,plain,
    ( $less(sF2,7)
    | ( 7 = sF2 )
    | spl5_49 ),
    inference(resolution,[],[f1730,f25]) ).

tff(f25,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f1730,plain,
    ( ~ $less(7,sF2)
    | spl5_49 ),
    inference(avatar_component_clause,[],[f1728]) ).

tff(f2248,plain,
    ( ~ spl5_53
    | spl5_3
    | ~ spl5_4
    | ~ spl5_36
    | ~ spl5_40 ),
    inference(avatar_split_clause,[],[f2247,f1451,f1434,f111,f107,f1746]) ).

tff(f111,plain,
    ( spl5_4
  <=> $less(7,sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

tff(f1434,plain,
    ( spl5_36
  <=> ( count(sK0) = $sum(sF2,1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).

tff(f2247,plain,
    ( ~ $less(sF2,7)
    | spl5_3
    | ~ spl5_4
    | ~ spl5_36
    | ~ spl5_40 ),
    inference(subsumption_resolution,[],[f2246,f108]) ).

tff(f108,plain,
    ( ( 7 != sF4 )
    | spl5_3 ),
    inference(avatar_component_clause,[],[f107]) ).

tff(f2246,plain,
    ( ( 7 = sF4 )
    | ~ $less(sF2,7)
    | ~ spl5_4
    | ~ spl5_36
    | ~ spl5_40 ),
    inference(forward_demodulation,[],[f2245,f1452]) ).

tff(f2245,plain,
    ( ( 7 = count(sK0) )
    | ~ $less(sF2,7)
    | ~ spl5_4
    | ~ spl5_36
    | ~ spl5_40 ),
    inference(subsumption_resolution,[],[f2244,f23]) ).

tff(f23,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f2244,plain,
    ( $less(sF4,sF4)
    | ( 7 = count(sK0) )
    | ~ $less(sF2,7)
    | ~ spl5_4
    | ~ spl5_36
    | ~ spl5_40 ),
    inference(forward_demodulation,[],[f2178,f1452]) ).

tff(f2178,plain,
    ( $less(count(sK0),sF4)
    | ( 7 = count(sK0) )
    | ~ $less(sF2,7)
    | ~ spl5_4
    | ~ spl5_36 ),
    inference(superposition,[],[f445,f1436]) ).

tff(f1436,plain,
    ( ( count(sK0) = $sum(sF2,1) )
    | ~ spl5_36 ),
    inference(avatar_component_clause,[],[f1434]) ).

tff(f445,plain,
    ( ! [X0: $int] :
        ( $less($sum(X0,1),sF4)
        | ( 7 = $sum(X0,1) )
        | ~ $less(X0,7) )
    | ~ spl5_4 ),
    inference(resolution,[],[f425,f29]) ).

tff(f29,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_161,[]) ).

tff(f425,plain,
    ( ! [X0: $int] :
        ( $less(7,X0)
        | $less(X0,sF4)
        | ( 7 = X0 ) )
    | ~ spl5_4 ),
    inference(resolution,[],[f424,f25]) ).

tff(f424,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,7)
        | $less(X0,sF4) )
    | ~ spl5_4 ),
    inference(resolution,[],[f113,f24]) ).

tff(f113,plain,
    ( $less(7,sF4)
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f111]) ).

tff(f1530,plain,
    ( spl5_9
    | spl5_40 ),
    inference(avatar_split_clause,[],[f1529,f1451,f154]) ).

tff(f154,plain,
    ( spl5_9
  <=> in(5,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

tff(f1529,plain,
    ( ( sF4 = count(sK0) )
    | in(5,sK0) ),
    inference(forward_demodulation,[],[f193,f69]) ).

tff(f69,plain,
    count(sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

tff(f193,plain,
    ( ( count(sF3) = count(sK0) )
    | in(5,sK0) ),
    inference(superposition,[],[f51,f68]) ).

tff(f68,plain,
    remove(5,sK0) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

tff(f51,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = count(X1) )
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X0: $int,X1: collection] :
      ( ( ~ in(X0,X1)
        | ( count(remove(X0,X1)) != count(X1) ) )
      & ( ( count(remove(X0,X1)) = count(X1) )
        | in(X0,X1) ) ),
    inference(nnf_transformation,[],[f31]) ).

tff(f31,plain,
    ! [X0: $int,X1: collection] :
      ( ~ in(X0,X1)
    <=> ( count(remove(X0,X1)) = count(X1) ) ),
    inference(rectify,[],[f11]) ).

tff(f11,axiom,
    ! [X19: $int,X20: collection] :
      ( ~ in(X19,X20)
    <=> ( count(remove(X19,X20)) = count(X20) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pBNPMZcXtl/Vampire---4.8_28275',ax6) ).

tff(f1526,plain,
    ( ~ spl5_9
    | spl5_43
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f1525,f145,f1479,f154]) ).

tff(f1525,plain,
    ( ( sF2 = sF4 )
    | ~ in(5,sK0)
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1524,f69]) ).

tff(f1524,plain,
    ( ( sF2 = count(sF3) )
    | ~ in(5,sK0)
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f305,f1520]) ).

tff(f1520,plain,
    ( ( sF2 = $sum(count(sK0),-1) )
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1519,f66]) ).

tff(f1519,plain,
    ( ( count(sF1) = $sum(count(sK0),-1) )
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f304,f146]) ).

tff(f146,plain,
    ( in(4,sK0)
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f145]) ).

tff(f305,plain,
    ( ( count(sF3) = $sum(count(sK0),-1) )
    | ~ in(5,sK0) ),
    inference(superposition,[],[f71,f68]) ).

tff(f1518,plain,
    ( ~ spl5_18
    | ~ spl5_43 ),
    inference(avatar_contradiction_clause,[],[f1517]) ).

tff(f1517,plain,
    ( $false
    | ~ spl5_18
    | ~ spl5_43 ),
    inference(subsumption_resolution,[],[f1511,f23]) ).

tff(f1511,plain,
    ( $less(sF2,sF2)
    | ~ spl5_18
    | ~ spl5_43 ),
    inference(superposition,[],[f435,f1480]) ).

tff(f1480,plain,
    ( ( sF2 = sF4 )
    | ~ spl5_43 ),
    inference(avatar_component_clause,[],[f1479]) ).

tff(f435,plain,
    ( $less(sF2,sF4)
    | ~ spl5_18 ),
    inference(avatar_component_clause,[],[f433]) ).

tff(f1493,plain,
    ( spl5_7
    | spl5_44 ),
    inference(avatar_split_clause,[],[f1492,f1488,f145]) ).

tff(f1492,plain,
    ( ( sF2 = count(sK0) )
    | in(4,sK0) ),
    inference(forward_demodulation,[],[f192,f66]) ).

tff(f192,plain,
    ( ( count(sF1) = count(sK0) )
    | in(4,sK0) ),
    inference(superposition,[],[f51,f65]) ).

tff(f1437,plain,
    ( ~ spl5_7
    | spl5_36 ),
    inference(avatar_split_clause,[],[f1432,f1434,f145]) ).

tff(f1432,plain,
    ( ( count(sK0) = $sum(sF2,1) )
    | ~ in(4,sK0) ),
    inference(forward_demodulation,[],[f855,f66]) ).

tff(f855,plain,
    ( ( count(sK0) = $sum(count(sF1),1) )
    | ~ in(4,sK0) ),
    inference(superposition,[],[f274,f65]) ).

tff(f274,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(X1) = $sum(count(remove(X0,X1)),1) )
      | ~ in(X0,X1) ),
    inference(subsumption_resolution,[],[f268,f64]) ).

tff(f64,plain,
    ! [X2: $int,X1: collection] : ~ in(X2,remove(X2,X1)),
    inference(equality_resolution,[],[f57]) ).

tff(f57,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( ( X0 != X2 )
      | ~ in(X0,remove(X2,X1)) ),
    inference(cnf_transformation,[],[f45]) ).

tff(f45,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( ( ( X0 != X2 )
          & in(X0,X1) )
        | ~ in(X0,remove(X2,X1)) )
      & ( in(X0,remove(X2,X1))
        | ( X0 = X2 )
        | ~ in(X0,X1) ) ),
    inference(flattening,[],[f44]) ).

tff(f44,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( ( ( X0 != X2 )
          & in(X0,X1) )
        | ~ in(X0,remove(X2,X1)) )
      & ( in(X0,remove(X2,X1))
        | ( X0 = X2 )
        | ~ in(X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

tff(f33,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( ( X0 != X2 )
        & in(X0,X1) )
    <=> in(X0,remove(X2,X1)) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X8: $int,X9: collection,X10: $int] :
      ( ( ( X8 != X10 )
        & in(X8,X9) )
    <=> in(X8,remove(X10,X9)) ),
    file('/export/starexec/sandbox/tmp/tmp.pBNPMZcXtl/Vampire---4.8_28275',ax5) ).

tff(f268,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(X1) = $sum(count(remove(X0,X1)),1) )
      | in(X0,remove(X0,X1))
      | ~ in(X0,X1) ),
    inference(superposition,[],[f62,f50]) ).

tff(f50,plain,
    ! [X0: $int,X1: collection] :
      ( ( add(X0,remove(X0,X1)) = X1 )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

tff(f39,plain,
    ! [X0: $int,X1: collection] :
      ( ( add(X0,remove(X0,X1)) = X1 )
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f30]) ).

tff(f30,plain,
    ! [X0: $int,X1: collection] :
      ( in(X0,X1)
     => ( add(X0,remove(X0,X1)) = X1 ) ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X21: $int,X22: collection] :
      ( in(X21,X22)
     => ( add(X21,remove(X21,X22)) = X22 ) ),
    file('/export/starexec/sandbox/tmp/tmp.pBNPMZcXtl/Vampire---4.8_28275',ax7) ).

tff(f62,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(add(X0,X1)) = $sum(count(X1),1) )
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tff(f47,plain,
    ! [X0: $int,X1: collection] :
      ( ( ~ in(X0,X1)
        | ( count(add(X0,X1)) != $sum(count(X1),1) ) )
      & ( ( count(add(X0,X1)) = $sum(count(X1),1) )
        | in(X0,X1) ) ),
    inference(nnf_transformation,[],[f37]) ).

tff(f37,plain,
    ! [X0: $int,X1: collection] :
      ( ~ in(X0,X1)
    <=> ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
    inference(rectify,[],[f8]) ).

tff(f8,axiom,
    ! [X13: $int,X14: collection] :
      ( ~ in(X13,X14)
    <=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pBNPMZcXtl/Vampire---4.8_28275',ax3) ).

tff(f1431,plain,
    ( ~ spl5_18
    | ~ spl5_30 ),
    inference(avatar_contradiction_clause,[],[f1430]) ).

tff(f1430,plain,
    ( $false
    | ~ spl5_18
    | ~ spl5_30 ),
    inference(subsumption_resolution,[],[f1423,f23]) ).

tff(f1423,plain,
    ( $less(sF4,sF4)
    | ~ spl5_18
    | ~ spl5_30 ),
    inference(resolution,[],[f712,f438]) ).

tff(f438,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sF2)
        | $less(X0,sF4) )
    | ~ spl5_18 ),
    inference(resolution,[],[f435,f24]) ).

tff(f712,plain,
    ( $less(sF4,sF2)
    | ~ spl5_30 ),
    inference(avatar_component_clause,[],[f711]) ).

tff(f711,plain,
    ( spl5_30
  <=> $less(sF4,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).

tff(f1389,plain,
    ( spl5_7
    | ~ spl5_10
    | spl5_30 ),
    inference(avatar_contradiction_clause,[],[f1388]) ).

tff(f1388,plain,
    ( $false
    | spl5_7
    | ~ spl5_10
    | spl5_30 ),
    inference(subsumption_resolution,[],[f1357,f713]) ).

tff(f713,plain,
    ( ~ $less(sF4,sF2)
    | spl5_30 ),
    inference(avatar_component_clause,[],[f711]) ).

tff(f1357,plain,
    ( $less(sF4,sF2)
    | spl5_7
    | ~ spl5_10 ),
    inference(superposition,[],[f77,f481]) ).

tff(f481,plain,
    ( ( sF2 = $sum(sF4,1) )
    | spl5_7
    | ~ spl5_10 ),
    inference(forward_demodulation,[],[f480,f196]) ).

tff(f196,plain,
    ( ( sF2 = count(sK0) )
    | spl5_7 ),
    inference(forward_demodulation,[],[f195,f66]) ).

tff(f195,plain,
    ( ( count(sF1) = count(sK0) )
    | spl5_7 ),
    inference(subsumption_resolution,[],[f192,f147]) ).

tff(f147,plain,
    ( ~ in(4,sK0)
    | spl5_7 ),
    inference(avatar_component_clause,[],[f145]) ).

tff(f480,plain,
    ( ( count(sK0) = $sum(sF4,1) )
    | ~ spl5_10 ),
    inference(forward_demodulation,[],[f479,f69]) ).

tff(f479,plain,
    ( ( count(sK0) = $sum(count(sF3),1) )
    | ~ spl5_10 ),
    inference(subsumption_resolution,[],[f476,f76]) ).

tff(f76,plain,
    ~ in(5,sF3),
    inference(superposition,[],[f64,f68]) ).

tff(f476,plain,
    ( ( count(sK0) = $sum(count(sF3),1) )
    | in(5,sF3)
    | ~ spl5_10 ),
    inference(superposition,[],[f62,f160]) ).

tff(f160,plain,
    ( ( sK0 = add(5,sF3) )
    | ~ spl5_10 ),
    inference(avatar_component_clause,[],[f158]) ).

tff(f158,plain,
    ( spl5_10
  <=> ( sK0 = add(5,sF3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

tff(f77,plain,
    ! [X0: $int] : $less(X0,$sum(X0,1)),
    inference(resolution,[],[f27,f23]) ).

tff(f27,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_147,[]) ).

tff(f954,plain,
    ~ spl5_16,
    inference(avatar_contradiction_clause,[],[f953]) ).

tff(f953,plain,
    ( $false
    | ~ spl5_16 ),
    inference(evaluation,[],[f925]) ).

tff(f925,plain,
    ( $less(7,6)
    | ~ spl5_16 ),
    inference(superposition,[],[f67,f415]) ).

tff(f415,plain,
    ( ( 7 = sF2 )
    | ~ spl5_16 ),
    inference(avatar_component_clause,[],[f414]) ).

tff(f437,plain,
    ( spl5_16
    | spl5_18
    | ~ spl5_4 ),
    inference(avatar_split_clause,[],[f428,f111,f433,f414]) ).

tff(f428,plain,
    ( $less(sF2,sF4)
    | ( 7 = sF2 )
    | ~ spl5_4 ),
    inference(evaluation,[],[f427]) ).

tff(f427,plain,
    ( $less(sF2,sF4)
    | ( 7 = sF2 )
    | $less(7,6)
    | ~ spl5_4 ),
    inference(resolution,[],[f424,f91]) ).

tff(f91,plain,
    ! [X0: $int] :
      ( $less(sF2,X0)
      | ( sF2 = X0 )
      | $less(X0,6) ),
    inference(resolution,[],[f25,f82]) ).

tff(f421,plain,
    ( spl5_9
    | spl5_16
    | ~ spl5_3
    | spl5_7 ),
    inference(avatar_split_clause,[],[f420,f145,f107,f414,f154]) ).

tff(f420,plain,
    ( ( 7 = sF2 )
    | in(5,sK0)
    | ~ spl5_3
    | spl5_7 ),
    inference(forward_demodulation,[],[f419,f109]) ).

tff(f419,plain,
    ( ( sF2 = sF4 )
    | in(5,sK0)
    | spl5_7 ),
    inference(forward_demodulation,[],[f418,f69]) ).

tff(f418,plain,
    ( ( sF2 = count(sF3) )
    | in(5,sK0)
    | spl5_7 ),
    inference(forward_demodulation,[],[f193,f196]) ).

tff(f161,plain,
    ( ~ spl5_9
    | spl5_10 ),
    inference(avatar_split_clause,[],[f143,f158,f154]) ).

tff(f143,plain,
    ( ( sK0 = add(5,sF3) )
    | ~ in(5,sK0) ),
    inference(superposition,[],[f50,f68]) ).

tff(f114,plain,
    ( spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f94,f111,f107]) ).

tff(f94,plain,
    ( $less(7,sF4)
    | ( 7 = sF4 ) ),
    inference(resolution,[],[f25,f70]) ).

tff(f70,plain,
    ~ $less(sF4,7),
    inference(definition_folding,[],[f48,f69,f68]) ).

tff(f48,plain,
    ~ $less(count(remove(5,sK0)),7),
    inference(cnf_transformation,[],[f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : DAT032_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:31:36 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_EQU_ARI problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.pBNPMZcXtl/Vampire---4.8_28275
% 0.62/0.84  % (28624)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.84  % (28616)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.84  % (28618)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.84  % (28617)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.84  % (28619)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.84  % (28622)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.84  % (28621)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.84  % (28623)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.85  % (28624)Instruction limit reached!
% 0.62/0.85  % (28624)------------------------------
% 0.62/0.85  % (28624)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85  % (28624)Termination reason: Unknown
% 0.62/0.85  % (28624)Termination phase: Saturation
% 0.62/0.85  
% 0.62/0.85  % (28624)Memory used [KB]: 1163
% 0.62/0.85  % (28624)Time elapsed: 0.018 s
% 0.62/0.85  % (28624)Instructions burned: 59 (million)
% 0.62/0.85  % (28624)------------------------------
% 0.62/0.85  % (28624)------------------------------
% 0.62/0.85  % (28619)Instruction limit reached!
% 0.62/0.85  % (28619)------------------------------
% 0.62/0.85  % (28619)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85  % (28619)Termination reason: Unknown
% 0.62/0.85  % (28619)Termination phase: Saturation
% 0.62/0.85  
% 0.62/0.85  % (28619)Memory used [KB]: 1330
% 0.62/0.85  % (28619)Time elapsed: 0.019 s
% 0.62/0.85  % (28619)Instructions burned: 33 (million)
% 0.62/0.85  % (28619)------------------------------
% 0.62/0.85  % (28619)------------------------------
% 0.62/0.86  % (28639)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.86  % (28616)Instruction limit reached!
% 0.62/0.86  % (28616)------------------------------
% 0.62/0.86  % (28616)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.86  % (28616)Termination reason: Unknown
% 0.62/0.86  % (28616)Termination phase: Saturation
% 0.62/0.86  
% 0.62/0.86  % (28616)Memory used [KB]: 1170
% 0.62/0.86  % (28616)Time elapsed: 0.021 s
% 0.62/0.86  % (28616)Instructions burned: 35 (million)
% 0.62/0.86  % (28616)------------------------------
% 0.62/0.86  % (28616)------------------------------
% 0.62/0.86  % (28621)Instruction limit reached!
% 0.62/0.86  % (28621)------------------------------
% 0.62/0.86  % (28621)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.86  % (28621)Termination reason: Unknown
% 0.62/0.86  % (28621)Termination phase: Saturation
% 0.62/0.86  
% 0.62/0.86  % (28621)Memory used [KB]: 1254
% 0.62/0.86  % (28621)Time elapsed: 0.021 s
% 0.62/0.86  % (28621)Instructions burned: 34 (million)
% 0.62/0.86  % (28621)------------------------------
% 0.62/0.86  % (28621)------------------------------
% 0.62/0.86  % (28622)Instruction limit reached!
% 0.62/0.86  % (28622)------------------------------
% 0.62/0.86  % (28622)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.86  % (28622)Termination reason: Unknown
% 0.62/0.86  % (28622)Termination phase: Saturation
% 0.62/0.86  
% 0.62/0.86  % (28622)Memory used [KB]: 1191
% 0.62/0.86  % (28622)Time elapsed: 0.022 s
% 0.62/0.86  % (28622)Instructions burned: 46 (million)
% 0.62/0.86  % (28622)------------------------------
% 0.62/0.86  % (28622)------------------------------
% 0.62/0.86  % (28641)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.86  % (28642)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.78/0.86  % (28643)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.78/0.86  % (28645)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.78/0.87  % (28617)Instruction limit reached!
% 0.78/0.87  % (28617)------------------------------
% 0.78/0.87  % (28617)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.78/0.87  % (28617)Termination reason: Unknown
% 0.78/0.87  % (28617)Termination phase: Saturation
% 0.78/0.87  
% 0.78/0.87  % (28617)Memory used [KB]: 1466
% 0.78/0.87  % (28617)Time elapsed: 0.032 s
% 0.78/0.87  % (28617)Instructions burned: 52 (million)
% 0.78/0.87  % (28617)------------------------------
% 0.78/0.87  % (28617)------------------------------
% 0.78/0.87  % (28651)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.78/0.87  % (28639)Instruction limit reached!
% 0.78/0.87  % (28639)------------------------------
% 0.78/0.87  % (28639)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.78/0.87  % (28639)Termination reason: Unknown
% 0.78/0.87  % (28639)Termination phase: Saturation
% 0.78/0.87  
% 0.78/0.87  % (28639)Memory used [KB]: 1575
% 0.78/0.87  % (28639)Time elapsed: 0.041 s
% 0.78/0.87  % (28639)Instructions burned: 57 (million)
% 0.78/0.87  % (28639)------------------------------
% 0.78/0.87  % (28639)------------------------------
% 0.78/0.88  % (28660)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.78/0.88  % (28623)Instruction limit reached!
% 0.78/0.88  % (28623)------------------------------
% 0.78/0.88  % (28623)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.78/0.88  % (28623)Termination reason: Unknown
% 0.78/0.88  % (28623)Termination phase: Saturation
% 0.78/0.88  
% 0.78/0.88  % (28623)Memory used [KB]: 1769
% 0.78/0.88  % (28623)Time elapsed: 0.048 s
% 0.78/0.88  % (28623)Instructions burned: 84 (million)
% 0.78/0.88  % (28623)------------------------------
% 0.78/0.88  % (28623)------------------------------
% 0.78/0.88  % (28618)Instruction limit reached!
% 0.78/0.88  % (28618)------------------------------
% 0.78/0.88  % (28618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.78/0.88  % (28618)Termination reason: Unknown
% 0.78/0.88  % (28618)Termination phase: Saturation
% 0.78/0.88  
% 0.78/0.88  % (28618)Memory used [KB]: 1702
% 0.78/0.88  % (28618)Time elapsed: 0.049 s
% 0.78/0.88  % (28618)Instructions burned: 78 (million)
% 0.78/0.88  % (28618)------------------------------
% 0.78/0.88  % (28618)------------------------------
% 0.94/0.89  % (28668)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.94/0.89  % (28641)Instruction limit reached!
% 0.94/0.89  % (28641)------------------------------
% 0.94/0.89  % (28641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.89  % (28641)Termination reason: Unknown
% 0.94/0.89  % (28641)Termination phase: Saturation
% 0.94/0.89  
% 0.94/0.89  % (28641)Memory used [KB]: 1366
% 0.94/0.89  % (28641)Time elapsed: 0.052 s
% 0.94/0.89  % (28641)Instructions burned: 51 (million)
% 0.94/0.89  % (28641)------------------------------
% 0.94/0.89  % (28641)------------------------------
% 0.94/0.89  % (28669)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.94/0.89  % (28651)Instruction limit reached!
% 0.94/0.89  % (28651)------------------------------
% 0.94/0.89  % (28651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.89  % (28651)Termination reason: Unknown
% 0.94/0.89  % (28651)Termination phase: Saturation
% 0.94/0.89  
% 0.94/0.89  % (28651)Memory used [KB]: 1193
% 0.94/0.89  % (28651)Time elapsed: 0.019 s
% 0.94/0.89  % (28651)Instructions burned: 45 (million)
% 0.94/0.89  % (28651)------------------------------
% 0.94/0.89  % (28651)------------------------------
% 0.94/0.89  % (28643)Instruction limit reached!
% 0.94/0.89  % (28643)------------------------------
% 0.94/0.89  % (28643)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.89  % (28643)Termination reason: Unknown
% 0.94/0.89  % (28643)Termination phase: Saturation
% 0.94/0.89  
% 0.94/0.89  % (28643)Memory used [KB]: 1353
% 0.94/0.89  % (28643)Time elapsed: 0.056 s
% 0.94/0.89  % (28643)Instructions burned: 52 (million)
% 0.94/0.89  % (28643)------------------------------
% 0.94/0.89  % (28643)------------------------------
% 0.94/0.89  % (28671)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.94/0.89  % (28672)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.94/0.90  % (28675)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.94/0.92  % (28675)Instruction limit reached!
% 0.94/0.92  % (28675)------------------------------
% 0.94/0.92  % (28675)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.92  % (28675)Termination reason: Unknown
% 0.94/0.92  % (28675)Termination phase: Saturation
% 0.94/0.92  
% 0.94/0.92  % (28675)Memory used [KB]: 1231
% 0.94/0.92  % (28675)Time elapsed: 0.022 s
% 0.94/0.92  % (28675)Instructions burned: 33 (million)
% 0.94/0.92  % (28675)------------------------------
% 0.94/0.92  % (28675)------------------------------
% 0.94/0.92  % (28695)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 1.05/0.93  % (28672)Instruction limit reached!
% 1.05/0.93  % (28672)------------------------------
% 1.05/0.93  % (28672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.93  % (28672)Termination reason: Unknown
% 1.05/0.93  % (28672)Termination phase: Saturation
% 1.05/0.93  
% 1.05/0.93  % (28672)Memory used [KB]: 1450
% 1.05/0.93  % (28672)Time elapsed: 0.036 s
% 1.05/0.93  % (28672)Instructions burned: 63 (million)
% 1.05/0.93  % (28672)------------------------------
% 1.05/0.93  % (28672)------------------------------
% 1.09/0.93  % (28697)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 1.09/0.94  % (28671)Instruction limit reached!
% 1.09/0.94  % (28671)------------------------------
% 1.09/0.94  % (28671)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.94  % (28671)Termination reason: Unknown
% 1.09/0.94  % (28671)Termination phase: Saturation
% 1.09/0.94  
% 1.09/0.94  % (28671)Memory used [KB]: 1787
% 1.09/0.94  % (28671)Time elapsed: 0.051 s
% 1.09/0.94  % (28671)Instructions burned: 93 (million)
% 1.09/0.94  % (28671)------------------------------
% 1.09/0.94  % (28671)------------------------------
% 1.09/0.95  % (28668)Instruction limit reached!
% 1.09/0.95  % (28668)------------------------------
% 1.09/0.95  % (28668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.95  % (28668)Termination reason: Unknown
% 1.09/0.95  % (28668)Termination phase: Saturation
% 1.09/0.95  
% 1.09/0.95  % (28668)Memory used [KB]: 1669
% 1.09/0.95  % (28668)Time elapsed: 0.060 s
% 1.09/0.95  % (28668)Instructions burned: 117 (million)
% 1.09/0.95  % (28668)------------------------------
% 1.09/0.95  % (28668)------------------------------
% 1.09/0.95  % (28707)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.09/0.95  % (28710)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.09/0.95  % (28642)First to succeed.
% 1.09/0.95  % (28707)Also succeeded, but the first one will report.
% 1.09/0.95  % (28642)Refutation found. Thanks to Tanya!
% 1.09/0.95  % SZS status Theorem for Vampire---4
% 1.09/0.95  % SZS output start Proof for Vampire---4
% See solution above
% 1.09/0.95  % (28642)------------------------------
% 1.09/0.95  % (28642)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.95  % (28642)Termination reason: Refutation
% 1.09/0.95  
% 1.09/0.95  % (28642)Memory used [KB]: 1587
% 1.09/0.95  % (28642)Time elapsed: 0.116 s
% 1.09/0.95  % (28642)Instructions burned: 161 (million)
% 1.09/0.95  % (28642)------------------------------
% 1.09/0.95  % (28642)------------------------------
% 1.09/0.95  % (28512)Success in time 0.588 s
% 1.09/0.95  % Vampire---4.8 exiting
%------------------------------------------------------------------------------