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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : DAT043_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 09:47:10 AM UTC 2026

% Result   : Theorem 12.21s 2.55s
% Output   : Refutation 13.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   99 (  22 unt;   0 typ;   5 def)
%            Number of atoms       :  281 (  67 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  307 ( 125   ~; 122   |;  46   &)
%                                         (  10 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  203 (  54 atm;  14 fun;  51 num;  84 var)
%            Number of types       :    3 (   1 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :   15 (   8 usr;   9 con; 0-2 aty)
%            Number of variables   :  117 (   0 sgn 105   !;  12   ?; 117   :)

% 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_10,type,
    sK0: $int ).

tff(func_def_11,type,
    sK1: $int ).

tff(func_def_12,type,
    sK2: $int ).

tff(func_def_13,type,
    sK3: collection ).

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

tff(f1,axiom,
    ! [X0: $int] : ~ in(X0,empty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f5,axiom,
    ! [X2: $int,X1: collection,X0: $int] :
      ( ( in(X0,X1)
        & ( X0 != X2 ) )
    <=> in(X0,remove(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(f6,axiom,
    ! [X0: collection] : $greatereq(count(X0),0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f7,axiom,
    ! [X0: collection] :
      ( ( X0 = empty )
    <=> ( count(X0) = 0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

tff(f10,axiom,
    ! [X0: $int,X1: collection] :
      ( in(X0,X1)
    <=> ( count(remove(X0,X1)) = $difference(count(X1),1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(f13,conjecture,
    ! [X0: collection,X1: $int,X3: $int,X2: $int] :
      ( ( in(X2,X0)
        & in(X3,X0)
        & $greater(X2,X3)
        & in(X1,X0)
        & $greater(X1,X2) )
     => $greater(count(X0),2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f14,negated_conjecture,
    ~ ! [X0: collection,X1: $int,X3: $int,X2: $int] :
        ( ( in(X2,X0)
          & in(X3,X0)
          & $greater(X2,X3)
          & in(X1,X0)
          & $greater(X1,X2) )
       => $greater(count(X0),2) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

tff(f15,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
    <=> in(X0,X1) ),
    inference(theory_normalization,[],[f10]) ).

tff(f16,plain,
    ! [X0: collection] : ~ $less(count(X0),0),
    inference(theory_normalization,[],[f6]) ).

tff(f17,plain,
    ~ ! [X0: collection,X1: $int,X3: $int,X2: $int] :
        ( ( in(X2,X0)
          & in(X3,X0)
          & $less(X3,X2)
          & in(X1,X0)
          & $less(X2,X1) )
       => $less(2,count(X0)) ),
    inference(theory_normalization,[],[f14]) ).

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

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

tff(f32,plain,
    ~ ! [X3: $int,X2: $int,X1: $int,X0: collection] :
        ( ( in(X1,X0)
          & in(X2,X0)
          & $less(X3,X1)
          & $less(X2,X3)
          & in(X3,X0) )
       => $less(2,count(X0)) ),
    inference(rectify,[],[f17]) ).

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

tff(f37,plain,
    ? [X3: $int,X2: $int,X1: $int,X0: collection] :
      ( ~ $less(2,count(X0))
      & in(X1,X0)
      & in(X2,X0)
      & $less(X3,X1)
      & $less(X2,X3)
      & in(X3,X0) ),
    inference(ennf_transformation,[],[f32]) ).

tff(f38,plain,
    ? [X2: $int,X1: $int,X3: $int,X0: collection] :
      ( $less(X2,X3)
      & $less(X3,X1)
      & in(X3,X0)
      & ~ $less(2,count(X0))
      & in(X2,X0)
      & in(X1,X0) ),
    inference(flattening,[],[f37]) ).

tff(f46,plain,
    ! [X0: collection] :
      ( ( ( X0 = empty )
        | ( count(X0) != 0 ) )
      & ( ( count(X0) = 0 )
        | ( empty != X0 ) ) ),
    inference(nnf_transformation,[],[f7]) ).

tff(f49,plain,
    ! [X0: $int,X1: collection] :
      ( ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) ) ),
    inference(nnf_transformation,[],[f15]) ).

tff(f50,plain,
    ? [X0: $int,X1: $int,X2: $int,X3: collection] :
      ( $less(X0,X2)
      & $less(X2,X1)
      & in(X2,X3)
      & ~ $less(2,count(X3))
      & in(X0,X3)
      & in(X1,X3) ),
    inference(rectify,[],[f38]) ).

tff(f51,plain,
    ( $less(sK0,sK2)
    & $less(sK2,sK1)
    & in(sK2,sK3)
    & ~ $less(2,count(sK3))
    & in(sK0,sK3)
    & in(sK1,sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f50]) ).

tff(f53,plain,
    ! [X1: collection,X0: $int,X2: $int] :
      ( ( in(X2,remove(X0,X1))
        | ~ in(X2,X1)
        | ( X0 = X2 ) )
      & ( ( in(X2,X1)
          & ( X0 != X2 ) )
        | ~ in(X2,remove(X0,X1)) ) ),
    inference(nnf_transformation,[],[f33]) ).

tff(f54,plain,
    ! [X1: collection,X0: $int,X2: $int] :
      ( ( in(X2,remove(X0,X1))
        | ~ in(X2,X1)
        | ( X0 = X2 ) )
      & ( ( in(X2,X1)
          & ( X0 != X2 ) )
        | ~ in(X2,remove(X0,X1)) ) ),
    inference(flattening,[],[f53]) ).

tff(f55,plain,
    ! [X0: collection,X1: $int,X2: $int] :
      ( ( in(X2,remove(X1,X0))
        | ~ in(X2,X0)
        | ( X1 = X2 ) )
      & ( ( in(X2,X0)
          & ( X1 != X2 ) )
        | ~ in(X2,remove(X1,X0)) ) ),
    inference(rectify,[],[f54]) ).

tff(f58,plain,
    ! [X0: $int] : ~ in(X0,empty),
    inference(cnf_transformation,[],[f1]) ).

tff(f65,plain,
    ! [X0: collection] : ~ $less(count(X0),0),
    inference(cnf_transformation,[],[f16]) ).

tff(f67,plain,
    ! [X0: collection] :
      ( ( count(X0) != 0 )
      | ( empty = X0 ) ),
    inference(cnf_transformation,[],[f46]) ).

tff(f72,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f73,plain,
    in(sK1,sK3),
    inference(cnf_transformation,[],[f51]) ).

tff(f74,plain,
    in(sK0,sK3),
    inference(cnf_transformation,[],[f51]) ).

tff(f75,plain,
    ~ $less(2,count(sK3)),
    inference(cnf_transformation,[],[f51]) ).

tff(f76,plain,
    in(sK2,sK3),
    inference(cnf_transformation,[],[f51]) ).

tff(f77,plain,
    $less(sK2,sK1),
    inference(cnf_transformation,[],[f51]) ).

tff(f78,plain,
    $less(sK0,sK2),
    inference(cnf_transformation,[],[f51]) ).

tff(f82,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( in(X2,remove(X1,X0))
      | ~ in(X2,X0)
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f55]) ).

tff(f88,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),-1) )
      | ~ in(X0,X1) ),
    inference(evaluation,[],[f72]) ).

tff(f91,plain,
    ! [X0: $int] :
      ( ~ $less(X0,sK2)
      | $less(X0,sK1) ),
    inference(resolution,[],[f24,f77]) ).

tff(f93,plain,
    $less(sK0,sK1),
    inference(resolution,[],[f91,f78]) ).

tff(f94,plain,
    ( $less(count(sK3),2)
    | ( 2 = count(sK3) ) ),
    inference(resolution,[],[f25,f75]) ).

tff(f101,definition,
    ( spl4_1
  <=> ( 2 = count(sK3) ) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

tff(f103,plain,
    ( ( 2 = count(sK3) )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f101]) ).

tff(f105,definition,
    ( spl4_2
  <=> $less(count(sK3),2) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

tff(f107,plain,
    ( $less(count(sK3),2)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f105]) ).

tff(f108,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f94,f105,f101]) ).

tff(f155,plain,
    ! [X0: $int,X1: collection] :
      ( ( empty = remove(X0,X1) )
      | ( 0 != $sum(count(X1),-1) )
      | ~ in(X0,X1) ),
    inference(superposition,[],[f67,f88]) ).

tff(f156,plain,
    ! [X0: $int,X1: collection] :
      ( ~ $less($sum(count(X1),-1),0)
      | ~ in(X0,X1) ),
    inference(superposition,[],[f65,f88]) ).

tff(f157,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(X1) != 1 )
      | ~ in(X0,X1)
      | ( empty = remove(X0,X1) ) ),
    inference(cancellation,[],[f155]) ).

tff(f158,plain,
    ! [X0: $int,X1: collection] :
      ( ~ $less(count(X1),1)
      | ~ in(X0,X1) ),
    inference(cancellation,[],[f156]) ).

tff(f168,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( ~ in(X2,remove(X0,X1))
      | ~ in(X0,X1)
      | ~ $less($sum(count(X1),-1),1) ),
    inference(superposition,[],[f158,f88]) ).

tff(f171,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( ~ in(X2,remove(X0,X1))
      | ~ $less(count(X1),2)
      | ~ in(X0,X1) ),
    inference(cancellation,[],[f168]) ).

tff(f205,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( ( empty = remove(X2,remove(X0,X1)) )
      | ~ in(X2,remove(X0,X1))
      | ~ in(X0,X1)
      | ( 1 != $sum(count(X1),-1) ) ),
    inference(superposition,[],[f157,f88]) ).

tff(f207,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( ( count(X1) != 2 )
      | ~ in(X2,remove(X0,X1))
      | ~ in(X0,X1)
      | ( empty = remove(X2,remove(X0,X1)) ) ),
    inference(cancellation,[],[f205]) ).

tff(f216,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( ~ $less(count(X0),2)
      | ~ in(X1,X0)
      | ~ in(X2,X0)
      | ( X1 = X2 ) ),
    inference(resolution,[],[f171,f82]) ).

tff(f255,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ in(X1,sK3)
        | ( X0 = X1 )
        | ~ in(X0,sK3) )
    | ~ spl4_2 ),
    inference(resolution,[],[f216,f107]) ).

tff(f276,plain,
    ( ! [X0: $int] :
        ( ~ in(X0,sK3)
        | ( sK1 = X0 ) )
    | ~ spl4_2 ),
    inference(resolution,[],[f255,f73]) ).

tff(f281,plain,
    ( ( sK1 = sK2 )
    | ~ spl4_2 ),
    inference(resolution,[],[f276,f76]) ).

tff(f291,plain,
    ( $less(sK2,sK2)
    | ~ spl4_2 ),
    inference(superposition,[],[f77,f281]) ).

tff(f293,plain,
    ( $less(0,0)
    | ~ spl4_2 ),
    inference(cancellation,[],[f291]) ).

tff(f294,plain,
    ( $false
    | ~ spl4_2 ),
    inference(evaluation,[],[f293]) ).

tff(f295,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f294]) ).

tff(f400,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( 2 != 2 )
        | ~ in(X1,sK3)
        | ( empty = remove(X0,remove(X1,sK3)) )
        | ~ in(X0,remove(X1,sK3)) )
    | ~ spl4_1 ),
    inference(superposition,[],[f207,f103]) ).

tff(f401,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( empty = remove(X0,remove(X1,sK3)) )
        | ~ in(X0,remove(X1,sK3))
        | ~ in(X1,sK3) )
    | ~ spl4_1 ),
    inference(trivial_inequality_removal,[],[f400]) ).

tff(f408,plain,
    ( ! [X2: $int,X0: $int,X1: $int] :
        ( ~ in(X0,remove(X1,sK3))
        | ~ in(X2,remove(X1,sK3))
        | ~ in(X1,sK3)
        | in(X0,empty)
        | ( X0 = X2 ) )
    | ~ spl4_1 ),
    inference(superposition,[],[f82,f401]) ).

tff(f427,plain,
    ( ! [X2: $int,X0: $int,X1: $int] :
        ( ~ in(X2,remove(X1,sK3))
        | ( X0 = X2 )
        | ~ in(X1,sK3)
        | ~ in(X0,remove(X1,sK3)) )
    | ~ spl4_1 ),
    inference(forward_subsumption_resolution,[],[f408,f58]) ).

tff(f451,plain,
    ( ! [X2: $int,X0: $int,X1: $int] :
        ( ~ in(X0,remove(X2,sK3))
        | ( X0 = X1 )
        | ( X1 = X2 )
        | ~ in(X2,sK3)
        | ~ in(X1,sK3) )
    | ~ spl4_1 ),
    inference(resolution,[],[f427,f82]) ).

tff(f460,plain,
    ( ! [X2: $int,X0: $int,X1: $int] :
        ( ~ in(X2,sK3)
        | ( X0 = X2 )
        | ~ in(X0,sK3)
        | ( X0 = X1 )
        | ~ in(X1,sK3)
        | ( X1 = X2 ) )
    | ~ spl4_1 ),
    inference(resolution,[],[f451,f82]) ).

tff(f469,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ in(X1,sK3)
        | ~ in(X0,sK3)
        | ( sK1 = X1 )
        | ( X0 = X1 )
        | ( sK1 = X0 ) )
    | ~ spl4_1 ),
    inference(resolution,[],[f460,f73]) ).

tff(f488,plain,
    ( ! [X0: $int] :
        ( ( sK1 = sK2 )
        | ( sK2 = X0 )
        | ( sK1 = X0 )
        | ~ in(X0,sK3) )
    | ~ spl4_1 ),
    inference(resolution,[],[f469,f76]) ).

tff(f491,definition,
    ( spl4_5
  <=> ( sK1 = sK2 ) ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

tff(f493,plain,
    ( ( sK1 = sK2 )
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f491]) ).

tff(f495,definition,
    ( spl4_6
  <=> ! [X0: $int] :
        ( ( sK2 = X0 )
        | ~ in(X0,sK3)
        | ( sK1 = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

tff(f496,plain,
    ( ! [X0: $int] :
        ( ~ in(X0,sK3)
        | ( sK1 = X0 )
        | ( sK2 = X0 ) )
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f495]) ).

tff(f497,plain,
    ( spl4_5
    | spl4_6
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f488,f101,f495,f491]) ).

tff(f499,definition,
    ( spl4_7
  <=> ( sK0 = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

tff(f500,plain,
    ( ( sK0 != sK1 )
    | spl4_7 ),
    inference(avatar_component_clause,[],[f499]) ).

tff(f501,plain,
    ( ( sK0 = sK1 )
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f499]) ).

tff(f516,plain,
    ( $less(sK2,sK2)
    | ~ spl4_5 ),
    inference(superposition,[],[f77,f493]) ).

tff(f518,plain,
    ( $less(0,0)
    | ~ spl4_5 ),
    inference(cancellation,[],[f516]) ).

tff(f519,plain,
    ( $false
    | ~ spl4_5 ),
    inference(evaluation,[],[f518]) ).

tff(f520,plain,
    ~ spl4_5,
    inference(avatar_contradiction_clause,[],[f519]) ).

tff(f532,plain,
    ( $less(sK0,sK0)
    | ~ spl4_7 ),
    inference(superposition,[],[f93,f501]) ).

tff(f535,plain,
    ( $less(0,0)
    | ~ spl4_7 ),
    inference(cancellation,[],[f532]) ).

tff(f536,plain,
    ( $false
    | ~ spl4_7 ),
    inference(evaluation,[],[f535]) ).

tff(f537,plain,
    ~ spl4_7,
    inference(avatar_contradiction_clause,[],[f536]) ).

tff(f559,plain,
    ( ( sK0 = sK1 )
    | ( sK0 = sK2 )
    | ~ spl4_6 ),
    inference(resolution,[],[f496,f74]) ).

tff(f561,plain,
    ( ( sK0 = sK2 )
    | ~ spl4_6
    | spl4_7 ),
    inference(forward_subsumption_resolution,[],[f559,f500]) ).

tff(f582,plain,
    ( $less(sK2,sK2)
    | ~ spl4_6
    | spl4_7 ),
    inference(superposition,[],[f78,f561]) ).

tff(f587,plain,
    ( $less(0,0)
    | ~ spl4_6
    | spl4_7 ),
    inference(cancellation,[],[f582]) ).

tff(f588,plain,
    ( $false
    | ~ spl4_6
    | spl4_7 ),
    inference(evaluation,[],[f587]) ).

tff(f589,plain,
    ( ~ spl4_6
    | spl4_7 ),
    inference(avatar_contradiction_clause,[],[f588]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2 ),
    inference(sat_conversion,[],[f108]) ).

cnf(s2,plain,
    ~ spl4_2,
    inference(sat_conversion,[],[f295]) ).

cnf(s4,plain,
    ( ~ spl4_1
    | spl4_5
    | spl4_6 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s6,plain,
    ~ spl4_5,
    inference(sat_conversion,[],[f520]) ).

cnf(s7,plain,
    ~ spl4_7,
    inference(sat_conversion,[],[f537]) ).

cnf(s10,plain,
    ( ~ spl4_6
    | spl4_7 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s11,plain,
    ~ spl4_6,
    inference(rat,[],[s10,s7]) ).

cnf(s13,plain,
    ~ spl4_1,
    inference(rat,[],[s4,s11,s6]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s1,s2,s13]) ).

tff(f590,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : DAT043_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n016.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Sep 29 00:11:04 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  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
% 5.62/1.61  % (4169761)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.62/1.61  % (4169900)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1451263247:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.62/1.61  % (4169900)Instruction limit reached! 
% 5.62/1.61  % (4169900)------------------------------
% 5.62/1.61  % (4169900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.61  % (4169900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.61  % (4169900)CaDiCaL version: 2.1.3
% 5.62/1.61  % (4169900)Termination reason: Instruction limit
% 5.62/1.61  % (4169900)Termination phase: Saturation
% 5.62/1.61  % (4169900)Time elapsed: 0.005 s
% 5.62/1.61  % (4169900)Peak memory usage: 89 MB
% 5.62/1.61  % (4169900)Instructions burned: 6 (million)
% 5.62/1.61  % (4169898)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2354013815:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.62/1.61  % (4169898)Instruction limit reached! 
% 5.62/1.61  % (4169898)------------------------------
% 5.62/1.61  % (4169898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.61  % (4169898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.61  % (4169898)CaDiCaL version: 2.1.3
% 5.62/1.61  % (4169898)Termination reason: Instruction limit
% 5.62/1.61  % (4169898)Termination phase: Saturation
% 5.62/1.61  % (4169898)Time elapsed: 0.006 s
% 5.62/1.61  % (4169898)Peak memory usage: 88 MB
% 5.62/1.61  % (4169898)Instructions burned: 7 (million)
% 5.62/1.61  % (4169897)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1110048329:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.62/1.61  % (4169895)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=236580501:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.62/1.61  % (4169896)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4264604:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.62/1.61  % (4169909)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1510803640:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.62/1.61  % (4169895)Refutation not found, incomplete strategy
% 5.62/1.61  % (4169895)------------------------------
% 5.62/1.61  % (4169895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.61  % (4169895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.61  % (4169895)CaDiCaL version: 2.1.3
% 5.62/1.61  % (4169895)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.61  % (4169895)Time elapsed: 0.047 s
% 5.62/1.61  % (4169895)Peak memory usage: 116 MB
% 5.62/1.61  % (4169895)Instructions burned: 10 (million)
% 5.62/1.61  % (4169904)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1258534401:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.62/1.61  % (4169909)Instruction limit reached! 
% 5.62/1.61  % (4169909)------------------------------
% 5.62/1.61  % (4169909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.61  % (4169909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.61  % (4169909)CaDiCaL version: 2.1.3
% 5.62/1.61  % (4169909)Termination reason: Instruction limit
% 5.62/1.61  % (4169909)Termination phase: Saturation
% 5.62/1.61  % (4169909)Time elapsed: 0.063 s
% 5.62/1.61  % (4169909)Peak memory usage: 116 MB
% 5.62/1.61  % (4169909)Instructions burned: 33 (million)
% 5.62/1.61  % (4169904)Instruction limit reached! 
% 5.62/1.61  % (4169904)------------------------------
% 5.62/1.61  % (4169904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.61  % (4169904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.61  % (4169904)CaDiCaL version: 2.1.3
% 5.62/1.61  % (4169904)Termination reason: Instruction limit
% 5.62/1.61  % (4169904)Termination phase: Saturation
% 5.62/1.61  % (4169904)Time elapsed: 0.082 s
% 5.62/1.61  % (4169904)Peak memory usage: 116 MB
% 5.62/1.61  % (4169904)Instructions burned: 46 (million)
% 5.62/1.61  % (4169927)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2740350440:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.62/1.61  % (4169927)Instruction limit reached! 
% 5.62/1.61  % (4169927)------------------------------
% 5.62/1.61  % (4169927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82  % (4169927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82  % (4169927)CaDiCaL version: 2.1.3
% 6.71/1.82  % (4169927)Termination reason: Instruction limit
% 6.71/1.82  % (4169927)Termination phase: Saturation
% 6.71/1.82  % (4169927)Time elapsed: 0.010 s
% 6.71/1.82  % (4169927)Peak memory usage: 88 MB
% 6.71/1.82  % (4169927)Instructions burned: 15 (million)
% 6.71/1.82  % (4169897)Instruction limit reached! 
% 6.71/1.82  % (4169897)------------------------------
% 6.71/1.82  % (4169897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82  % (4169897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82  % (4169897)CaDiCaL version: 2.1.3
% 6.71/1.82  % (4169897)Termination reason: Instruction limit
% 6.71/1.82  % (4169897)Termination phase: Saturation
% 6.71/1.82  % (4169897)Time elapsed: 0.260 s
% 6.71/1.82  % (4169897)Peak memory usage: 117 MB
% 6.71/1.82  % (4169897)Instructions burned: 201 (million)
% 6.71/1.82  % (4169896)Instruction limit reached! 
% 6.71/1.82  % (4169896)------------------------------
% 6.71/1.82  % (4169896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82  % (4169896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82  % (4169896)CaDiCaL version: 2.1.3
% 6.71/1.82  % (4169896)Termination reason: Instruction limit
% 6.71/1.82  % (4169896)Termination phase: Saturation
% 6.71/1.82  % (4169896)Time elapsed: 0.274 s
% 6.71/1.82  % (4169896)Peak memory usage: 116 MB
% 6.71/1.82  % (4169896)Instructions burned: 307 (million)
% 6.71/1.82  % (4169934)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=1281717597:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.71/1.82  % (4169934)Instruction limit reached! 
% 6.71/1.82  % (4169934)------------------------------
% 6.71/1.82  % (4169934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82  % (4169934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82  % (4169934)CaDiCaL version: 2.1.3
% 6.71/1.82  % (4169934)Termination reason: Instruction limit
% 6.71/1.82  % (4169934)Termination phase: Saturation
% 6.71/1.82  % (4169934)Time elapsed: 0.035 s
% 6.71/1.82  % (4169934)Peak memory usage: 89 MB
% 6.71/1.82  % (4169934)Instructions burned: 29 (million)
% 6.71/1.82  % (4169944)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3450628556:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 6.71/1.82  % (4169949)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=2019151687:i=27:canc=cautious:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/27Mi)
% 6.71/1.82  % (4169946)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2019844735:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 6.71/1.82  % (4169944)Instruction limit reached! 
% 6.71/1.82  % (4169944)------------------------------
% 6.71/1.82  % (4169944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82  % (4169944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82  % (4169944)CaDiCaL version: 2.1.3
% 6.71/1.82  % (4169944)Termination reason: Instruction limit
% 6.71/1.82  % (4169944)Termination phase: Saturation
% 6.71/1.82  % (4169944)Time elapsed: 0.019 s
% 6.71/1.82  % (4169944)Peak memory usage: 90 MB
% 6.71/1.82  % (4169944)Instructions burned: 16 (million)
% 6.71/1.82  % (4169949)Instruction limit reached! 
% 6.71/1.82  % (4169949)------------------------------
% 6.71/1.82  % (4169949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82  % (4169949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82  % (4169949)CaDiCaL version: 2.1.3
% 6.71/1.82  % (4169949)Termination reason: Instruction limit
% 6.71/1.82  % (4169949)Termination phase: Saturation
% 6.71/1.82  % (4169949)Time elapsed: 0.015 s
% 6.71/1.82  % (4169949)Peak memory usage: 89 MB
% 6.71/1.82  % (4169949)Instructions burned: 28 (million)
% 6.71/1.82  % (4169946)Instruction limit reached! 
% 6.71/1.82  % (4169946)------------------------------
% 6.71/1.82  % (4169946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82  % (4169946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.13  % (4169946)CaDiCaL version: 2.1.3
% 9.96/2.13  % (4169946)Termination reason: Instruction limit
% 9.96/2.13  % (4169946)Termination phase: Saturation
% 9.96/2.13  % (4169946)Time elapsed: 0.032 s
% 9.96/2.13  % (4169946)Peak memory usage: 89 MB
% 9.96/2.13  % (4169946)Instructions burned: 24 (million)
% 9.96/2.13  % (4169895)------------------------------
% 9.96/2.13  % (4169895)------------------------------
% 9.96/2.13  % (4169952)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=979337753:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 9.96/2.13  % (4169952)Instruction limit reached! 
% 9.96/2.13  % (4169952)------------------------------
% 9.96/2.13  % (4169952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.13  % (4169952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.13  % (4169952)CaDiCaL version: 2.1.3
% 9.96/2.13  % (4169952)Termination reason: Instruction limit
% 9.96/2.13  % (4169952)Termination phase: Saturation
% 9.96/2.13  % (4169952)Time elapsed: 0.004 s
% 9.96/2.13  % (4169952)Peak memory usage: 88 MB
% 9.96/2.13  % (4169952)Instructions burned: 2 (million)
% 9.96/2.13  % (4169950)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2668681696:i=85:gtgl=4:rtra=on:gtg=exists_sym_2994 on theBenchmark for (2994ds/85Mi)
% 9.96/2.13  % (4169957)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2898909062:i=4:ep=RST:ins=2:rtra=on_2993 on theBenchmark for (2993ds/4Mi)
% 9.96/2.13  % (4169953)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=519426531:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.96/2.13  % (4169957)Instruction limit reached! 
% 9.96/2.13  % (4169957)------------------------------
% 9.96/2.13  % (4169957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.13  % (4169957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.13  % (4169957)CaDiCaL version: 2.1.3
% 9.96/2.13  % (4169957)Termination reason: Instruction limit
% 9.96/2.13  % (4169957)Termination phase: Saturation
% 9.96/2.13  % (4169957)Time elapsed: 0.005 s
% 9.96/2.13  % (4169957)Peak memory usage: 88 MB
% 9.96/2.13  % (4169957)Instructions burned: 5 (million)
% 9.96/2.13  % (4169953)Refutation not found, incomplete strategy
% 9.96/2.13  % (4169953)------------------------------
% 9.96/2.13  % (4169953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.13  % (4169953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.13  % (4169953)CaDiCaL version: 2.1.3
% 9.96/2.13  % (4169953)Termination reason: Refutation not found, incomplete strategy
% 9.96/2.13  % (4169953)Time elapsed: 0.003 s
% 9.96/2.13  % (4169953)Peak memory usage: 89 MB
% 9.96/2.13  % (4169953)Instructions burned: 1 (million)
% 9.96/2.13  % (4169958)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4039111221:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2993 on theBenchmark for (2993ds/66Mi)
% 9.96/2.13  % (4169959)lrs+10_1_thi=all:si=on:fd=off:random_seed=1096163888:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 9.96/2.13  % (4169950)Instruction limit reached! 
% 9.96/2.13  % (4169950)------------------------------
% 9.96/2.13  % (4169950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.13  % (4169950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.13  % (4169950)CaDiCaL version: 2.1.3
% 9.96/2.13  % (4169950)Termination reason: Instruction limit
% 9.96/2.13  % (4169950)Termination phase: Saturation
% 9.96/2.13  % (4169950)Time elapsed: 0.085 s
% 9.96/2.13  % (4169950)Peak memory usage: 88 MB
% 9.96/2.13  % (4169950)Instructions burned: 85 (million)
% 9.96/2.13  % (4169959)Instruction limit reached! 
% 9.96/2.13  % (4169959)------------------------------
% 9.96/2.13  % (4169959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.13  % (4169959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.13  % (4169959)CaDiCaL version: 2.1.3
% 9.96/2.13  % (4169959)Termination reason: Instruction limit
% 9.96/2.13  % (4169959)Termination phase: Saturation
% 9.96/2.13  % (4169959)Time elapsed: 0.051 s
% 9.96/2.13  % (4169959)Peak memory usage: 116 MB
% 9.96/2.13  % (4169959)Instructions burned: 53 (million)
% 9.96/2.13  % (4169960)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=2110405264:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 12.21/2.55  % (4169960)Instruction limit reached! 
% 12.21/2.55  % (4169960)------------------------------
% 12.21/2.55  % (4169960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169960)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169960)Termination reason: Instruction limit
% 12.21/2.55  % (4169960)Termination phase: Saturation
% 12.21/2.55  % (4169960)Time elapsed: 0.012 s
% 12.21/2.55  % (4169960)Peak memory usage: 89 MB
% 12.21/2.55  % (4169960)Instructions burned: 8 (million)
% 12.21/2.55  % (4169958)Instruction limit reached! 
% 12.21/2.55  % (4169958)------------------------------
% 12.21/2.55  % (4169958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169958)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169958)Termination reason: Instruction limit
% 12.21/2.55  % (4169958)Termination phase: Saturation
% 12.21/2.55  % (4169958)Time elapsed: 0.132 s
% 12.21/2.55  % (4169958)Peak memory usage: 133 MB
% 12.21/2.55  % (4169958)Instructions burned: 66 (million)
% 12.21/2.55  % (4169963)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=843298534:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 12.21/2.55  % (4169963)Instruction limit reached! 
% 12.21/2.55  % (4169963)------------------------------
% 12.21/2.55  % (4169963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169963)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169963)Termination reason: Instruction limit
% 12.21/2.55  % (4169963)Termination phase: Saturation
% 12.21/2.55  % (4169963)Time elapsed: 0.003 s
% 12.21/2.55  % (4169963)Peak memory usage: 89 MB
% 12.21/2.55  % (4169963)Instructions burned: 3 (million)
% 12.21/2.55  % (4169974)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2459266527:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 12.21/2.55  % (4169974)Instruction limit reached! 
% 12.21/2.55  % (4169974)------------------------------
% 12.21/2.55  % (4169974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169974)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169974)Termination reason: Instruction limit
% 12.21/2.55  % (4169974)Termination phase: Saturation
% 12.21/2.55  % (4169974)Time elapsed: 0.005 s
% 12.21/2.55  % (4169974)Peak memory usage: 89 MB
% 12.21/2.55  % (4169974)Instructions burned: 2 (million)
% 12.21/2.55  % (4169979)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2228025838:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 12.21/2.55  % (4169981)dis+10_1_si=on:random_seed=1063787935:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 12.21/2.55  % (4169981)Instruction limit reached! 
% 12.21/2.55  % (4169981)------------------------------
% 12.21/2.55  % (4169981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169981)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169981)Termination reason: Instruction limit
% 12.21/2.55  % (4169981)Termination phase: Saturation
% 12.21/2.55  % (4169981)Time elapsed: 0.013 s
% 12.21/2.55  % (4169981)Peak memory usage: 88 MB
% 12.21/2.55  % (4169981)Instructions burned: 10 (million)
% 12.21/2.55  % (4169991)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=4025819422:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 12.21/2.55  % (4169991)Instruction limit reached! 
% 12.21/2.55  % (4169991)------------------------------
% 12.21/2.55  % (4169991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169991)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169991)Termination reason: Instruction limit
% 12.21/2.55  % (4169991)Termination phase: Saturation
% 12.21/2.55  % (4169991)Time elapsed: 0.002 s
% 12.21/2.55  % (4169991)Peak memory usage: 89 MB
% 12.21/2.55  % (4169991)Instructions burned: 2 (million)
% 12.21/2.55  % (4169990)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2618190704: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_2990 on theBenchmark for (2990ds/35Mi)
% 12.21/2.55  % (4169953)------------------------------
% 12.21/2.55  % (4169953)------------------------------
% 12.21/2.55  % (4169990)Instruction limit reached! 
% 12.21/2.55  % (4169990)------------------------------
% 12.21/2.55  % (4169990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169990)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169990)Termination reason: Instruction limit
% 12.21/2.55  % (4169990)Termination phase: Saturation
% 12.21/2.55  % (4169990)Time elapsed: 0.046 s
% 12.21/2.55  % (4169990)Peak memory usage: 89 MB
% 12.21/2.55  % (4169990)Instructions burned: 35 (million)
% 12.21/2.55  % (4169987)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1698306369:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 12.21/2.55  % (4169987)Refutation not found, incomplete strategy
% 12.21/2.55  % (4169987)------------------------------
% 12.21/2.55  % (4169987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169987)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169987)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.55  % (4169987)Time elapsed: 0.004 s
% 12.21/2.55  % (4169987)Peak memory usage: 89 MB
% 12.21/2.55  % (4169987)Instructions burned: 2 (million)
% 12.21/2.55  % (4169993)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1897286997:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2989 on theBenchmark for (2989ds/8Mi)
% 12.21/2.55  % (4169993)Instruction limit reached! 
% 12.21/2.55  % (4169993)------------------------------
% 12.21/2.55  % (4169993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169993)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169993)Termination reason: Instruction limit
% 12.21/2.55  % (4169993)Termination phase: Saturation
% 12.21/2.55  % (4169993)Time elapsed: 0.006 s
% 12.21/2.55  % (4169993)Peak memory usage: 88 MB
% 12.21/2.55  % (4169993)Instructions burned: 8 (million)
% 12.21/2.55  % (4169979)Instruction limit reached! 
% 12.21/2.55  % (4169979)------------------------------
% 12.21/2.55  % (4169979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169979)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169979)Termination reason: Instruction limit
% 12.21/2.55  % (4169979)Termination phase: Saturation
% 12.21/2.55  % (4169979)Time elapsed: 0.177 s
% 12.21/2.55  % (4169979)Peak memory usage: 117 MB
% 12.21/2.55  % (4169979)Instructions burned: 127 (million)
% 12.21/2.55  % (4170000)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=4008813634:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2988 on theBenchmark for (2988ds/13Mi)
% 12.21/2.55  % (4170000)Instruction limit reached! 
% 12.21/2.55  % (4170000)------------------------------
% 12.21/2.55  % (4170000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4170000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4170000)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4170000)Termination reason: Instruction limit
% 12.21/2.55  % (4170000)Termination phase: Saturation
% 12.21/2.55  % (4170000)Time elapsed: 0.046 s
% 12.21/2.55  % (4170000)Peak memory usage: 116 MB
% 12.21/2.55  % (4170000)Instructions burned: 13 (million)
% 12.21/2.55  % (4169998)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3738773066:i=370:ep=RS:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/370Mi)
% 12.21/2.55  % (4170006)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2457089817:i=71:rtra=on:gtg=exists_top_2987 on theBenchmark for (2987ds/71Mi)
% 12.21/2.55  % (4170003)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3069519603:i=226:rtra=on:gtg=position:ss=axioms_2987 on theBenchmark for (2987ds/226Mi)
% 12.21/2.55  % (4170003)Refutation not found, incomplete strategy
% 12.21/2.55  % (4170003)------------------------------
% 12.21/2.55  % (4170003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4170003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4170003)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4170003)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.55  % (4170003)Time elapsed: 0.041 s
% 12.21/2.55  % (4170003)Peak memory usage: 116 MB
% 12.21/2.55  % (4170003)Instructions burned: 7 (million)
% 12.21/2.55  % (4170004)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1782781746:i=10:rtra=on_2987 on theBenchmark for (2987ds/10Mi)
% 12.21/2.55  % (4170007)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=1807157793:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2987 on theBenchmark for (2987ds/75Mi)
% 12.21/2.55  % (4170004)Instruction limit reached! 
% 12.21/2.55  % (4170004)------------------------------
% 12.21/2.55  % (4170004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4170004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4170004)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4170004)Termination reason: Instruction limit
% 12.21/2.55  % (4170004)Termination phase: Saturation
% 12.21/2.55  % (4170004)Time elapsed: 0.013 s
% 12.21/2.55  % (4170004)Peak memory usage: 88 MB
% 12.21/2.55  % (4170004)Instructions burned: 10 (million)
% 12.21/2.55  % (4170006)Instruction limit reached! 
% 12.21/2.55  % (4170006)------------------------------
% 12.21/2.55  % (4170006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4170006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4170006)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4170006)Termination reason: Instruction limit
% 12.21/2.55  % (4170006)Termination phase: Saturation
% 12.21/2.55  % (4170006)Time elapsed: 0.073 s
% 12.21/2.55  % (4170006)Peak memory usage: 133 MB
% 12.21/2.55  % (4170006)Instructions burned: 72 (million)
% 12.21/2.55  % (4170007)First to succeed.
% 12.21/2.55  % (4170007)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4169761"
% 12.21/2.55  % (4169987)------------------------------
% 12.21/2.55  % (4169987)------------------------------
% 12.21/2.55  % (4170011)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=478613916:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2986 on theBenchmark for (2986ds/294Mi)
% 12.21/2.55  % (4170020)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=1960354775:i=131:rtra=on_2985 on theBenchmark for (2985ds/131Mi)
% 12.21/2.55  % (4170019)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2006427261:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2985 on theBenchmark for (2985ds/130Mi)
% 12.21/2.55  % (4169998)Instruction limit reached! 
% 12.21/2.55  % (4169998)------------------------------
% 12.21/2.55  % (4169998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4169998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4169998)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4169998)Termination reason: Instruction limit
% 12.21/2.55  % (4169998)Termination phase: Saturation
% 12.21/2.55  % (4169998)Time elapsed: 0.370 s
% 12.21/2.55  % (4169998)Peak memory usage: 90 MB
% 12.21/2.55  % (4169998)Instructions burned: 370 (million)
% 12.21/2.55  % (4170020)Instruction limit reached! 
% 12.21/2.55  % (4170020)------------------------------
% 12.21/2.55  % (4170020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.55  % (4170020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.55  % (4170020)CaDiCaL version: 2.1.3
% 12.21/2.55  % (4170020)Termination reason: Instruction limit
% 12.21/2.55  % (4170020)Termination phase: Saturation
% 12.21/2.55  % (4170020)Time elapsed: 0.108 s
% 12.21/2.55  % (4170020)Peak memory usage: 133 MB
% 12.21/2.55  % (4170020)Instructions burned: 132 (million)
% 12.21/2.55  % (4170021)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3698581324:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2983 on theBenchmark for (2983ds/40Mi)
% 12.21/2.55  % (4170003)------------------------------
% 12.21/2.55  % (4170003)------------------------------
% 12.21/2.55  % (4170007)Refutation found. Thanks to Tanya!
% 12.21/2.55  % SZS status Theorem for theBenchmark
% 12.21/2.55  % SZS output start Proof for theBenchmark
% See solution above
% 13.75/2.74  % (4170007)------------------------------
% 13.75/2.74  % (4170007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.75/2.74  % (4170007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.74  % (4170007)CaDiCaL version: 2.1.3
% 13.75/2.74  % (4170007)Termination reason: Refutation
% 13.75/2.74  % (4170007)Time elapsed: 0.030 s
% 13.75/2.74  % (4170007)Peak memory usage: 91 MB
% 13.75/2.74  % (4170007)Instructions burned: 38 (million)
% 13.75/2.74  % (4170007)------------------------------
% 13.75/2.74  % (4170007)------------------------------
% 13.75/2.74  % (4169761)Success in time 1.876 s
% 13.75/2.74  % Vampire exiting
%------------------------------------------------------------------------------