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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU078+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 12:51:53 PM UTC 2026

% Result   : Theorem 49.22s 14.85s
% Output   : Refutation 49.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  185 (  25 unt;  12 def)
%            Number of atoms       :  513 (  72 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  525 ( 197   ~; 255   |;  24   &)
%                                         (  34 <=>;  13  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  13 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :  189 (   1 sgn 178   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] :
      ( empty(X0)
     => function(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).

fof(f3,axiom,
    ! [X0] :
      ( empty(X0)
     => relation(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).

fof(f5,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( X1 = singleton(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X2 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).

fof(f7,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & X2 = apply(X0,X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).

fof(f9,axiom,
    ( empty(empty_set)
    & relation(empty_set)
    & relation_empty_yielding(empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).

fof(f16,axiom,
    ! [X0] :
      ( empty(X0)
     => ( empty(relation_dom(X0))
        & relation(relation_dom(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).

fof(f17,axiom,
    ! [X0] :
      ( empty(X0)
     => ( empty(relation_rng(X0))
        & relation(relation_rng(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).

fof(f28,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( disjoint(X0,X1)
     => disjoint(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).

fof(f30,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( ! [X1] :
            ~ ( in(X1,relation_rng(X0))
              & ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2) )
      <=> one_to_one(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t144_funct_1) ).

fof(f31,conjecture,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( one_to_one(X0)
      <=> ! [X1] :
          ? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t159_funct_1) ).

fof(f32,negated_conjecture,
    ~ ! [X0] :
        ( ( relation(X0)
          & function(X0) )
       => ( one_to_one(X0)
        <=> ! [X1] :
            ? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) ) ),
    inference(negated_conjecture,[status(cth)],[f31]) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( relation_inverse_image(X1,X0) = empty_set
      <=> disjoint(relation_rng(X1),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t173_relat_1) ).

fof(f36,axiom,
    ! [X0] : subset(empty_set,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( subset(X0,singleton(X1))
    <=> ( X0 = empty_set
        | X0 = singleton(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).

fof(f40,axiom,
    ! [X0,X1] :
      ( ~ in(X0,X1)
     => disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_zfmisc_1) ).

fof(f42,axiom,
    ! [X0] :
      ( empty(X0)
     => X0 = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

fof(f43,axiom,
    ! [X0,X1] :
      ~ ( in(X0,X1)
        & empty(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f45,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f28]) ).

fof(f46,plain,
    ( empty(empty_set)
    & relation(empty_set) ),
    inference(pure_predicate_removal,[],[f9]) ).

fof(f49,plain,
    ! [X0] :
      ( function(X0)
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f50,plain,
    ! [X0] :
      ( relation(X0)
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f53]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & X2 = apply(X0,X3) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & X2 = apply(X0,X3) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f55]) ).

fof(f61,plain,
    ! [X0] :
      ( ( empty(relation_dom(X0))
        & relation(relation_dom(X0)) )
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f62,plain,
    ! [X0] :
      ( ( empty(relation_rng(X0))
        & relation(relation_rng(X0)) )
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( disjoint(X1,X0)
      | ~ disjoint(X0,X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f65,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ in(X1,relation_rng(X0))
            | ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2) )
      <=> one_to_one(X0) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f66,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ in(X1,relation_rng(X0))
            | ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2) )
      <=> one_to_one(X0) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f65]) ).

fof(f67,plain,
    ? [X0] :
      ( ( one_to_one(X0)
      <~> ! [X1] :
          ? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) )
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f68,plain,
    ? [X0] :
      ( ( one_to_one(X0)
      <~> ! [X1] :
          ? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) )
      & relation(X0)
      & function(X0) ),
    inference(flattening,[],[f67]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ( relation_inverse_image(X1,X0) = empty_set
      <=> disjoint(relation_rng(X1),X0) )
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( disjoint(singleton(X0),X1)
      | in(X0,X1) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f77,plain,
    ! [X0] :
      ( X0 = empty_set
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ empty(X0)
      | function(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ empty(X0)
      | relation(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f89,plain,
    ! [X2,X3,X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ in(apply(X0,X3),X1)
      | ~ in(X3,relation_dom(X0))
      | in(X3,X2)
      | relation_inverse_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( X0 != X2
      | in(X2,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | apply(X0,sK3(X0,X2)) = X2
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f98,plain,
    ! [X2,X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(sK3(X0,X2),relation_dom(X0))
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f102,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f46]) ).

fof(f111,plain,
    ! [X0] :
      ( empty(relation_dom(X0))
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f113,plain,
    ! [X0] :
      ( empty(relation_rng(X0))
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f133,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f45]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | disjoint(X1,X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f135,plain,
    ! [X2,X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | one_to_one(X0)
      | singleton(X2) != relation_inverse_image(X0,singleton(sK16(X0))) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | one_to_one(X0)
      | in(sK16(X0),relation_rng(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | relation_inverse_image(X0,singleton(X1)) = singleton(sK17(X0,X1))
      | ~ in(X1,relation_rng(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f138,plain,
    ! [X1] :
      ( subset(relation_inverse_image(sK18,singleton(X1)),singleton(sK20(X1)))
      | one_to_one(sK18) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f139,plain,
    ! [X2] :
      ( ~ subset(relation_inverse_image(sK18,singleton(sK19)),singleton(X2))
      | ~ one_to_one(sK18) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f140,plain,
    function(sK18),
    inference(cnf_transformation,[],[f68]) ).

fof(f141,plain,
    relation(sK18),
    inference(cnf_transformation,[],[f68]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ disjoint(relation_rng(X1),X0)
      | empty_set = relation_inverse_image(X1,X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f146,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ~ subset(X0,singleton(X1))
      | empty_set = X0
      | singleton(X1) = X0 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | disjoint(singleton(X0),X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f158,plain,
    ! [X3,X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ in(apply(X0,X3),X1)
      | ~ in(X3,relation_dom(X0))
      | in(X3,relation_inverse_image(X0,X1)) ),
    inference(equality_resolution,[],[f89]) ).

fof(f162,plain,
    ! [X2,X1] :
      ( in(X2,X1)
      | singleton(X2) != X1 ),
    inference(equality_resolution,[],[f90]) ).

fof(f163,plain,
    ! [X2] : in(X2,singleton(X2)),
    inference(equality_resolution,[],[f162]) ).

fof(f166,plain,
    ! [X2,X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(sK3(X0,X2),relation_dom(X0))
      | ~ in(X2,relation_rng(X0)) ),
    inference(equality_resolution,[],[f98]) ).

fof(f167,plain,
    ! [X2,X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | apply(X0,sK3(X0,X2)) = X2
      | ~ in(X2,relation_rng(X0)) ),
    inference(equality_resolution,[],[f97]) ).

fof(f171,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ empty(X0) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ empty(X0) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f174,plain,
    ! [X3,X0,X1] :
      ( in(apply(X0,X3),X1)
      | relation(X0)
      | function(X0)
      | in(X3,relation_dom(X0))
      | ~ in(X3,relation_inverse_image(X0,X1)) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f183,plain,
    ! [X2] : ~ in(X2,singleton(X2)),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f185,plain,
    ! [X2,X0] :
      ( ~ in(sK3(X0,X2),relation_dom(X0))
      | relation(X0)
      | function(X0)
      | in(X2,relation_rng(X0)) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f186,plain,
    ! [X2,X0] :
      ( in(X2,relation_rng(X0))
      | relation(X0)
      | apply(X0,sK3(X0,X2)) = X2
      | function(X0) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ~ one_to_one(X0)
      | relation(X0)
      | function(X0)
      | relation_inverse_image(X0,singleton(X1)) = singleton(sK17(X0,X1))
      | in(X1,relation_rng(X0)) ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ in(sK16(X0),relation_rng(X0))
      | relation(X0)
      | one_to_one(X0)
      | function(X0) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f207,plain,
    ! [X2,X0] :
      ( singleton(X2) != relation_inverse_image(X0,singleton(sK16(X0)))
      | relation(X0)
      | one_to_one(X0)
      | function(X0) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f208,plain,
    ~ relation(sK18),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f209,plain,
    ~ function(sK18),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ disjoint(relation_rng(X1),X0)
      | relation(X1)
      | empty_set = relation_inverse_image(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( disjoint(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ empty(X1) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f219,definition,
    ( spl21_1
  <=> one_to_one(sK18) ),
    introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).

fof(f220,plain,
    ( ~ one_to_one(sK18)
    | spl21_1 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f221,plain,
    ( one_to_one(sK18)
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f223,definition,
    ( spl21_2
  <=> ! [X1] : subset(relation_inverse_image(sK18,singleton(X1)),singleton(sK20(X1))) ),
    introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).

fof(f224,plain,
    ( ! [X1] : subset(relation_inverse_image(sK18,singleton(X1)),singleton(sK20(X1)))
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f225,plain,
    ( spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f138,f223,f219]) ).

fof(f227,definition,
    ( spl21_3
  <=> ! [X2] : ~ subset(relation_inverse_image(sK18,singleton(sK19)),singleton(X2)) ),
    introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).

fof(f228,plain,
    ( ! [X2] : ~ subset(relation_inverse_image(sK18,singleton(sK19)),singleton(X2))
    | ~ spl21_3 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f229,plain,
    ( ~ spl21_1
    | spl21_3 ),
    inference(avatar_split_clause,[],[f139,f227,f219]) ).

fof(f231,plain,
    ! [X0] :
      ( ~ empty(X0)
      | relation_rng(X0) = empty_set ),
    inference(resolution,[],[f155,f113]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( disjoint(X1,singleton(X0))
      | ~ in(X0,X1) ),
    inference(resolution,[],[f215,f134]) ).

fof(f300,definition,
    ( spl21_4
  <=> ! [X1] : in(X1,empty_set) ),
    introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).

fof(f301,plain,
    ( ! [X1] : in(X1,empty_set)
    | ~ spl21_4 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f316,plain,
    ( ! [X0] :
        ( relation_inverse_image(sK18,singleton(X0)) = singleton(sK20(X0))
        | empty_set = relation_inverse_image(sK18,singleton(X0)) )
    | ~ spl21_2 ),
    inference(resolution,[],[f147,f224]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ empty(relation_dom(X0))
      | function(X0)
      | in(X1,relation_rng(X0))
      | relation(X0) ),
    inference(resolution,[],[f185,f217]) ).

fof(f378,definition,
    ( spl21_8
  <=> empty_set = relation_inverse_image(sK18,singleton(sK16(sK18))) ),
    introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).

fof(f380,plain,
    ( empty_set = relation_inverse_image(sK18,singleton(sK16(sK18)))
    | ~ spl21_8 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f382,definition,
    ( spl21_9
  <=> ! [X0] : singleton(X0) != singleton(sK20(sK16(sK18))) ),
    introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X0] : singleton(X0) != singleton(sK20(sK16(sK18)))
    | ~ spl21_9 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f391,definition,
    ( spl21_10
  <=> empty_set = relation_inverse_image(sK18,singleton(sK19)) ),
    introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).

fof(f393,plain,
    ( empty_set = relation_inverse_image(sK18,singleton(sK19))
    | ~ spl21_10 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f402,plain,
    ! [X0] :
      ( relation(X0)
      | sK16(X0) = apply(X0,sK3(X0,sK16(X0)))
      | function(X0)
      | relation(X0)
      | one_to_one(X0)
      | function(X0) ),
    inference(resolution,[],[f186,f206]) ).

fof(f403,plain,
    ! [X0] :
      ( one_to_one(X0)
      | sK16(X0) = apply(X0,sK3(X0,sK16(X0)))
      | function(X0)
      | relation(X0) ),
    inference(duplicate_literal_removal,[],[f402]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( ~ in(X1,relation_inverse_image(X0,singleton(apply(X0,X1))))
      | function(X0)
      | in(X1,relation_dom(X0))
      | relation(X0) ),
    inference(resolution,[],[f174,f183]) ).

fof(f420,plain,
    ( ! [X0] :
        ( relation(sK18)
        | function(sK18)
        | relation_inverse_image(sK18,singleton(X0)) = singleton(sK17(sK18,X0))
        | in(X0,relation_rng(sK18)) )
    | ~ spl21_1 ),
    inference(resolution,[],[f205,f221]) ).

fof(f421,plain,
    ( ! [X0] :
        ( function(sK18)
        | relation_inverse_image(sK18,singleton(X0)) = singleton(sK17(sK18,X0))
        | in(X0,relation_rng(sK18)) )
    | ~ spl21_1 ),
    inference(forward_subsumption_resolution,[],[f420,f208]) ).

fof(f424,plain,
    ( ! [X0] :
        ( in(X0,relation_rng(sK18))
        | relation_inverse_image(sK18,singleton(X0)) = singleton(sK17(sK18,X0)) )
    | ~ spl21_1 ),
    inference(forward_subsumption_resolution,[],[f421,f209]) ).

fof(f479,plain,
    empty_set = relation_rng(empty_set),
    inference(resolution,[],[f231,f102]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ~ in(X0,relation_rng(X1))
      | relation(X1)
      | empty_set = relation_inverse_image(X1,singleton(X0)) ),
    inference(resolution,[],[f282,f211]) ).

fof(f658,plain,
    ! [X0,X1] :
      ( function(X0)
      | in(X1,relation_rng(X0))
      | relation(X0)
      | ~ empty(X0) ),
    inference(resolution,[],[f367,f111]) ).

fof(f661,plain,
    ! [X0,X1] :
      ( in(X1,relation_rng(X0))
      | relation(X0)
      | ~ empty(X0) ),
    inference(forward_subsumption_resolution,[],[f658,f171]) ).

fof(f663,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | in(X1,relation_rng(X0)) ),
    inference(forward_subsumption_resolution,[],[f661,f172]) ).

fof(f2804,plain,
    ( ! [X0] :
        ( relation(sK18)
        | empty_set = relation_inverse_image(sK18,singleton(X0))
        | relation_inverse_image(sK18,singleton(X0)) = singleton(sK17(sK18,X0)) )
    | ~ spl21_1 ),
    inference(resolution,[],[f517,f424]) ).

fof(f2832,plain,
    ( ! [X0] :
        ( relation_inverse_image(sK18,singleton(X0)) = singleton(sK17(sK18,X0))
        | empty_set = relation_inverse_image(sK18,singleton(X0)) )
    | ~ spl21_1 ),
    inference(forward_subsumption_resolution,[],[f2804,f208]) ).

fof(f18200,plain,
    ( ! [X0] :
        ( ~ subset(singleton(sK17(sK18,sK19)),singleton(X0))
        | empty_set = relation_inverse_image(sK18,singleton(sK19)) )
    | ~ spl21_1
    | ~ spl21_3 ),
    inference(superposition,[],[f228,f2832]) ).

fof(f18336,definition,
    ( spl21_298
  <=> ! [X0] : ~ subset(singleton(sK17(sK18,sK19)),singleton(X0)) ),
    introduced(definition,[new_symbols(definition,[spl21_298])],[avatar_definition]) ).

fof(f18337,plain,
    ( ! [X0] : ~ subset(singleton(sK17(sK18,sK19)),singleton(X0))
    | ~ spl21_298 ),
    inference(avatar_component_clause,[],[f18336]) ).

fof(f18338,plain,
    ( spl21_10
    | spl21_298
    | ~ spl21_1
    | ~ spl21_3 ),
    inference(avatar_split_clause,[],[f18200,f227,f219,f18336,f391]) ).

fof(f19953,definition,
    ( spl21_309
  <=> empty(empty_set) ),
    introduced(definition,[new_symbols(definition,[spl21_309])],[avatar_definition]) ).

fof(f19955,plain,
    ( empty(empty_set)
    | ~ spl21_309 ),
    inference(avatar_component_clause,[],[f19953]) ).

fof(f20011,plain,
    spl21_309,
    inference(avatar_split_clause,[],[f102,f19953]) ).

fof(f20045,plain,
    ( ! [X0] : in(X0,relation_rng(empty_set))
    | ~ spl21_309 ),
    inference(resolution,[],[f19955,f663]) ).

fof(f20071,plain,
    ( ! [X0] : in(X0,empty_set)
    | ~ spl21_309 ),
    inference(forward_demodulation,[],[f20045,f479]) ).

fof(f20094,plain,
    ( spl21_4
    | ~ spl21_309 ),
    inference(avatar_split_clause,[],[f20071,f19953,f300]) ).

fof(f20177,definition,
    ( spl21_324
  <=> sK16(sK18) = apply(sK18,sK3(sK18,sK16(sK18))) ),
    introduced(definition,[new_symbols(definition,[spl21_324])],[avatar_definition]) ).

fof(f20179,plain,
    ( sK16(sK18) = apply(sK18,sK3(sK18,sK16(sK18)))
    | ~ spl21_324 ),
    inference(avatar_component_clause,[],[f20177]) ).

fof(f25379,plain,
    ( $false
    | ~ spl21_298 ),
    inference(resolution,[],[f18337,f133]) ).

fof(f25382,plain,
    ~ spl21_298,
    inference(avatar_contradiction_clause,[],[f25379]) ).

fof(f25387,plain,
    ( ! [X0] : ~ subset(empty_set,singleton(X0))
    | ~ spl21_3
    | ~ spl21_10 ),
    inference(superposition,[],[f228,f393]) ).

fof(f25496,plain,
    ( $false
    | ~ spl21_3
    | ~ spl21_10 ),
    inference(forward_subsumption_resolution,[],[f25387,f146]) ).

fof(f25497,plain,
    ( ~ spl21_3
    | ~ spl21_10 ),
    inference(avatar_contradiction_clause,[],[f25496]) ).

fof(f25544,plain,
    ( sK16(sK18) = apply(sK18,sK3(sK18,sK16(sK18)))
    | function(sK18)
    | relation(sK18)
    | spl21_1 ),
    inference(resolution,[],[f220,f403]) ).

fof(f25546,plain,
    ( sK16(sK18) = apply(sK18,sK3(sK18,sK16(sK18)))
    | relation(sK18)
    | spl21_1 ),
    inference(forward_subsumption_resolution,[],[f25544,f209]) ).

fof(f25547,plain,
    ( sK16(sK18) = apply(sK18,sK3(sK18,sK16(sK18)))
    | spl21_1 ),
    inference(forward_subsumption_resolution,[],[f25546,f208]) ).

fof(f25548,plain,
    ( spl21_324
    | spl21_1 ),
    inference(avatar_split_clause,[],[f25547,f219,f20177]) ).

fof(f25733,plain,
    ( ! [X0] :
        ( singleton(X0) != singleton(sK20(sK16(sK18)))
        | relation(sK18)
        | one_to_one(sK18)
        | function(sK18)
        | empty_set = relation_inverse_image(sK18,singleton(sK16(sK18))) )
    | ~ spl21_2 ),
    inference(superposition,[],[f207,f316]) ).

fof(f237400,plain,
    ( ~ in(sK3(sK18,sK16(sK18)),relation_inverse_image(sK18,singleton(sK16(sK18))))
    | function(sK18)
    | in(sK3(sK18,sK16(sK18)),relation_dom(sK18))
    | relation(sK18)
    | ~ spl21_324 ),
    inference(superposition,[],[f407,f20179]) ).

fof(f237671,plain,
    ( ~ in(sK3(sK18,sK16(sK18)),relation_inverse_image(sK18,singleton(sK16(sK18))))
    | in(sK3(sK18,sK16(sK18)),relation_dom(sK18))
    | relation(sK18)
    | ~ spl21_324 ),
    inference(forward_subsumption_resolution,[],[f237400,f209]) ).

fof(f237683,definition,
    ( spl21_4388
  <=> in(sK3(sK18,sK16(sK18)),relation_dom(sK18)) ),
    introduced(definition,[new_symbols(definition,[spl21_4388])],[avatar_definition]) ).

fof(f237685,plain,
    ( in(sK3(sK18,sK16(sK18)),relation_dom(sK18))
    | ~ spl21_4388 ),
    inference(avatar_component_clause,[],[f237683]) ).

fof(f237826,plain,
    ( ~ in(sK3(sK18,sK16(sK18)),relation_inverse_image(sK18,singleton(sK16(sK18))))
    | in(sK3(sK18,sK16(sK18)),relation_dom(sK18))
    | ~ spl21_324 ),
    inference(forward_subsumption_resolution,[],[f237671,f208]) ).

fof(f237997,plain,
    ( ~ in(sK3(sK18,sK16(sK18)),empty_set)
    | in(sK3(sK18,sK16(sK18)),relation_dom(sK18))
    | ~ spl21_8
    | ~ spl21_324 ),
    inference(forward_demodulation,[],[f237826,f380]) ).

fof(f238008,definition,
    ( spl21_4426
  <=> in(sK16(sK18),relation_rng(sK18)) ),
    introduced(definition,[new_symbols(definition,[spl21_4426])],[avatar_definition]) ).

fof(f238009,plain,
    ( in(sK16(sK18),relation_rng(sK18))
    | ~ spl21_4426 ),
    inference(avatar_component_clause,[],[f238008]) ).

fof(f238010,plain,
    ( ~ in(sK16(sK18),relation_rng(sK18))
    | spl21_4426 ),
    inference(avatar_component_clause,[],[f238008]) ).

fof(f238074,plain,
    ( in(sK3(sK18,sK16(sK18)),relation_dom(sK18))
    | ~ spl21_4
    | ~ spl21_8
    | ~ spl21_324 ),
    inference(forward_subsumption_resolution,[],[f237997,f301]) ).

fof(f238081,plain,
    ( spl21_4388
    | ~ spl21_4
    | ~ spl21_8
    | ~ spl21_324 ),
    inference(avatar_split_clause,[],[f238074,f20177,f378,f300,f237683]) ).

fof(f238082,plain,
    ( relation(sK18)
    | one_to_one(sK18)
    | function(sK18)
    | ~ spl21_4426 ),
    inference(resolution,[],[f238009,f206]) ).

fof(f238086,plain,
    ( one_to_one(sK18)
    | function(sK18)
    | ~ spl21_4426 ),
    inference(forward_subsumption_resolution,[],[f238082,f208]) ).

fof(f238087,plain,
    ( function(sK18)
    | spl21_1
    | ~ spl21_4426 ),
    inference(forward_subsumption_resolution,[],[f238086,f220]) ).

fof(f238088,plain,
    ( $false
    | spl21_1
    | ~ spl21_4426 ),
    inference(forward_subsumption_resolution,[],[f238087,f209]) ).

fof(f238089,plain,
    ( spl21_1
    | ~ spl21_4426 ),
    inference(avatar_contradiction_clause,[],[f238088]) ).

fof(f238992,plain,
    ( relation(sK18)
    | function(sK18)
    | in(sK16(sK18),relation_rng(sK18))
    | ~ spl21_4388 ),
    inference(resolution,[],[f237685,f185]) ).

fof(f239013,plain,
    ( function(sK18)
    | in(sK16(sK18),relation_rng(sK18))
    | ~ spl21_4388 ),
    inference(forward_subsumption_resolution,[],[f238992,f208]) ).

fof(f239020,plain,
    ( in(sK16(sK18),relation_rng(sK18))
    | ~ spl21_4388 ),
    inference(forward_subsumption_resolution,[],[f239013,f209]) ).

fof(f239023,plain,
    ( $false
    | ~ spl21_4388
    | spl21_4426 ),
    inference(forward_subsumption_resolution,[],[f239020,f238010]) ).

fof(f239024,plain,
    ( ~ spl21_4388
    | spl21_4426 ),
    inference(avatar_contradiction_clause,[],[f239023]) ).

fof(f239028,plain,
    ( ! [X0] :
        ( singleton(X0) != singleton(sK20(sK16(sK18)))
        | one_to_one(sK18)
        | function(sK18)
        | empty_set = relation_inverse_image(sK18,singleton(sK16(sK18))) )
    | ~ spl21_2 ),
    inference(forward_subsumption_resolution,[],[f25733,f208]) ).

fof(f239117,plain,
    ( ! [X0] :
        ( singleton(X0) != singleton(sK20(sK16(sK18)))
        | function(sK18)
        | empty_set = relation_inverse_image(sK18,singleton(sK16(sK18))) )
    | spl21_1
    | ~ spl21_2 ),
    inference(forward_subsumption_resolution,[],[f239028,f220]) ).

fof(f239118,plain,
    ( ! [X0] :
        ( singleton(X0) != singleton(sK20(sK16(sK18)))
        | empty_set = relation_inverse_image(sK18,singleton(sK16(sK18))) )
    | spl21_1
    | ~ spl21_2 ),
    inference(forward_subsumption_resolution,[],[f239117,f209]) ).

fof(f239119,plain,
    ( spl21_8
    | spl21_9
    | spl21_1
    | ~ spl21_2 ),
    inference(avatar_split_clause,[],[f239118,f223,f219,f382,f378]) ).

fof(f239121,plain,
    ( $false
    | ~ spl21_9 ),
    inference(equality_resolution,[],[f383]) ).

fof(f239122,plain,
    ~ spl21_9,
    inference(avatar_contradiction_clause,[],[f239121]) ).

cnf(s1,plain,
    ( spl21_1
    | spl21_2 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s2,plain,
    ( ~ spl21_1
    | spl21_3 ),
    inference(sat_conversion,[],[f229]) ).

cnf(s464,plain,
    ( ~ spl21_1
    | ~ spl21_3
    | spl21_10
    | spl21_298 ),
    inference(sat_conversion,[],[f18338]) ).

cnf(s504,plain,
    spl21_309,
    inference(sat_conversion,[],[f20011]) ).

cnf(s507,plain,
    ( spl21_4
    | ~ spl21_309 ),
    inference(sat_conversion,[],[f20094]) ).

cnf(s720,plain,
    ~ spl21_298,
    inference(sat_conversion,[],[f25382]) ).

cnf(s722,plain,
    ( ~ spl21_3
    | ~ spl21_10 ),
    inference(sat_conversion,[],[f25497]) ).

cnf(s726,plain,
    ( spl21_1
    | spl21_324 ),
    inference(sat_conversion,[],[f25548]) ).

cnf(s7695,plain,
    ( ~ spl21_4
    | ~ spl21_8
    | ~ spl21_324
    | spl21_4388 ),
    inference(sat_conversion,[],[f238081]) ).

cnf(s7696,plain,
    ( spl21_1
    | ~ spl21_4426 ),
    inference(sat_conversion,[],[f238089]) ).

cnf(s7705,plain,
    ( ~ spl21_4388
    | spl21_4426 ),
    inference(sat_conversion,[],[f239024]) ).

cnf(s7729,plain,
    ( spl21_1
    | ~ spl21_2
    | spl21_8
    | spl21_9 ),
    inference(sat_conversion,[],[f239119]) ).

cnf(s7730,plain,
    ~ spl21_9,
    inference(sat_conversion,[],[f239122]) ).

cnf(s7731,plain,
    ( spl21_1
    | ~ spl21_2
    | spl21_8 ),
    inference(rat,[],[s7729,s7730]) ).

cnf(s7766,plain,
    spl21_4,
    inference(rat,[],[s507,s504]) ).

cnf(s7787,plain,
    ( ~ spl21_1
    | ~ spl21_3
    | spl21_10 ),
    inference(rat,[],[s464,s720]) ).

cnf(s7803,plain,
    spl21_1,
    inference(rat,[],[s7695,s7731,s7705,s1,s726,s7696,s7766]) ).

cnf(s7805,plain,
    spl21_3,
    inference(rat,[],[s2,s7803]) ).

cnf(s7806,plain,
    ~ spl21_10,
    inference(rat,[],[s722,s7805]) ).

cnf(s7807,plain,
    $false,
    inference(rat,[],[s7787,s7803,s7806,s7805]) ).

fof(f239123,plain,
    $false,
    inference(avatar_sat_refutation,[],[s7807]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU078+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n016.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 03:36:47 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  Running first-order model finding
% 0.10/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.47/2.67  % (3234820)Will run a generic schedule for satisfiability detection.
% 15.47/2.67  % (3234829)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3925756936:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.47/2.67  % (3234825)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=733330789_2999 on theBenchmark for (2999ds/0Mi)
% 15.47/2.67  % (3234827)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1938916647:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.47/2.67  % (3234828)dis+10_1_sil=32000:sp=arity:random_seed=1422957426:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.47/2.67  % (3234830)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2898867129:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.47/2.67  % (3234831)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4264604993:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.47/2.67  % (3234826)% WARNING: option uhcvi not known.
% 15.47/2.67  % TRYING [1]
% 15.47/2.67  % TRYING [2]
% 15.47/2.67  % TRYING [3]
% 15.47/2.67  % (3234826)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1619844410:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.47/2.67  % TRYING [4]
% 15.47/2.67  % TRYING [5]
% 15.47/2.67  % (3234829)Instruction limit reached! 
% 15.47/2.67  % (3234829)------------------------------
% 15.47/2.67  % (3234829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.67  % (3234829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/2.67  % (3234829)CaDiCaL version: 2.1.3
% 15.47/2.67  % (3234829)Termination reason: Instruction limit
% 15.47/2.67  % (3234829)Termination phase: Saturation
% 15.47/2.67  % (3234829)Time elapsed: 0.040 s
% 15.47/2.67  % (3234829)Peak memory usage: 13 MB
% 15.47/2.67  % (3234829)Instructions burned: 119 (million)
% 15.47/2.67  % (3234840)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1321979849:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.47/2.67  % TRYING [1]
% 15.47/2.67  % TRYING [2]
% 15.47/2.67  % TRYING [3]
% 15.47/2.67  % TRYING [4]
% 15.47/2.67  % TRYING [6]
% 15.47/2.67  % TRYING [5]
% 15.47/2.67  % (3234828)Instruction limit reached! 
% 15.47/2.67  % (3234828)------------------------------
% 15.47/2.67  % (3234828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.67  % (3234828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/2.67  % (3234828)CaDiCaL version: 2.1.3
% 15.47/2.67  % (3234828)Termination reason: Instruction limit
% 15.47/2.67  % (3234828)Termination phase: Saturation
% 15.47/2.67  % (3234828)Time elapsed: 0.064 s
% 15.47/2.67  % (3234828)Peak memory usage: 12 MB
% 15.47/2.67  % (3234828)Instructions burned: 104 (million)
% 15.47/2.67  % TRYING [6]
% 15.47/2.67  % (3234830)Instruction limit reached! 
% 15.47/2.67  % (3234830)------------------------------
% 15.47/2.67  % (3234830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.67  % (3234830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/2.67  % (3234830)CaDiCaL version: 2.1.3
% 15.47/2.67  % (3234830)Termination reason: Instruction limit
% 15.47/2.67  % (3234830)Termination phase: Saturation
% 15.47/2.67  % (3234830)Time elapsed: 0.081 s
% 15.47/2.67  % (3234830)Peak memory usage: 12 MB
% 15.47/2.67  % (3234830)Instructions burned: 131 (million)
% 15.47/2.67  % (3234842)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1336634943:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.47/2.67  % TRYING [7]
% 15.47/2.67  % (3234843)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2532560180:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.47/2.67  % (3234831)Instruction limit reached! 
% 15.47/2.67  % (3234831)------------------------------
% 15.47/2.67  % (3234831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.67  % (3234831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/2.67  % (3234831)CaDiCaL version: 2.1.3
% 15.47/2.67  % (3234831)Termination reason: Instruction limit
% 15.47/2.67  % (3234831)Termination phase: Saturation
% 15.47/2.67  % (3234831)Time elapsed: 0.104 s
% 15.47/2.67  % (3234831)Peak memory usage: 14 MB
% 15.47/2.67  % (3234831)Instructions burned: 160 (million)
% 15.47/2.67  % TRYING [7]
% 15.47/2.67  % (3234846)ott-21_1_sil=16000:fs=off:random_seed=2269931166:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.47/2.67  % TRYING [8]
% 15.47/2.67  % (3234842)Instruction limit reached! 
% 15.47/2.67  % (3234842)------------------------------
% 15.47/2.67  % (3234842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.53/6.81  % (3234842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.53/6.81  % (3234842)CaDiCaL version: 2.1.3
% 44.53/6.81  % (3234842)Termination reason: Instruction limit
% 44.53/6.81  % (3234842)Termination phase: Saturation
% 44.53/6.81  % (3234842)Time elapsed: 0.087 s
% 44.53/6.81  % (3234842)Peak memory usage: 12 MB
% 44.53/6.81  % (3234842)Instructions burned: 132 (million)
% 44.53/6.81  % (3234848)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=72031544:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 44.53/6.81  % (3234840)Instruction limit reached! 
% 44.53/6.81  % (3234840)------------------------------
% 44.53/6.81  % (3234840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.53/6.81  % (3234840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.53/6.81  % (3234840)CaDiCaL version: 2.1.3
% 44.53/6.81  % (3234840)Termination reason: Instruction limit
% 44.53/6.81  % (3234840)Termination phase: Finite model building constraint generation
% 44.53/6.81  % (3234840)Time elapsed: 0.151 s
% 44.53/6.81  % (3234840)Peak memory usage: 26 MB
% 44.53/6.81  % (3234840)Instructions burned: 717 (million)
% 44.53/6.81  % TRYING [8]
% 44.53/6.81  % (3234850)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=312913088:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 44.53/6.81  % (3234846)Instruction limit reached! 
% 44.53/6.81  % (3234846)------------------------------
% 44.53/6.81  % (3234846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.53/6.81  % (3234846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.53/6.81  % (3234846)CaDiCaL version: 2.1.3
% 44.53/6.81  % (3234846)Termination reason: Instruction limit
% 44.53/6.81  % (3234846)Termination phase: Saturation
% 44.53/6.81  % (3234846)Time elapsed: 0.084 s
% 44.53/6.81  % (3234846)Peak memory usage: 12 MB
% 44.53/6.81  % (3234846)Instructions burned: 180 (million)
% 44.53/6.81  % TRYING [1]
% 44.53/6.81  % TRYING [2]
% 44.53/6.81  % TRYING [3]
% 44.53/6.81  % TRYING [4]
% 44.53/6.81  % (3234852)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3249283296:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 44.53/6.81  % TRYING [5]
% 44.53/6.81  % TRYING [6]
% 44.53/6.81  % (3234850)Instruction limit reached! 
% 44.53/6.81  % (3234850)------------------------------
% 44.53/6.81  % (3234850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.53/6.81  % (3234850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.53/6.81  % (3234850)CaDiCaL version: 2.1.3
% 44.53/6.81  % (3234850)Termination reason: Instruction limit
% 44.53/6.81  % (3234850)Termination phase: Finite model building constraint generation
% 44.53/6.81  % (3234850)Time elapsed: 0.176 s
% 44.53/6.81  % (3234850)Peak memory usage: 20 MB
% 44.53/6.81  % (3234850)Instructions burned: 869 (million)
% 44.53/6.81  % (3234854)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=862497012:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 44.53/6.81  % (3234843)Instruction limit reached! 
% 44.53/6.81  % (3234843)------------------------------
% 44.53/6.81  % (3234843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.53/6.81  % (3234843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.53/6.81  % (3234843)CaDiCaL version: 2.1.3
% 44.53/6.81  % (3234843)Termination reason: Instruction limit
% 44.53/6.81  % (3234843)Termination phase: Saturation
% 44.53/6.81  % (3234843)Time elapsed: 0.311 s
% 44.53/6.81  % (3234843)Peak memory usage: 16 MB
% 44.53/6.81  % (3234843)Instructions burned: 686 (million)
% 44.53/6.81  % TRYING [14]
% 44.53/6.81  % (3234856)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2623633686:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 44.53/6.81  % TRYING [9]
% 44.53/6.81  % (3234848)Instruction limit reached! 
% 44.53/6.81  % (3234848)------------------------------
% 44.53/6.81  % (3234848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.53/6.81  % (3234848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.53/6.81  % (3234848)CaDiCaL version: 2.1.3
% 44.53/6.81  % (3234848)Termination reason: Instruction limit
% 44.53/6.81  % (3234848)Termination phase: Saturation
% 44.53/6.81  % (3234848)Time elapsed: 0.334 s
% 44.53/6.81  % (3234848)Peak memory usage: 14 MB
% 44.53/6.81  % (3234848)Instructions burned: 478 (million)
% 44.53/6.81  % (3234858)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1675668269:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 89.48/13.08  % (3234854)Instruction limit reached! 
% 89.48/13.08  % (3234854)------------------------------
% 89.48/13.08  % (3234854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.48/13.08  % (3234854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.48/13.08  % (3234854)CaDiCaL version: 2.1.3
% 89.48/13.08  % (3234854)Termination reason: Instruction limit
% 89.48/13.08  % (3234854)Termination phase: Finite model building constraint generation
% 89.48/13.08  % (3234854)Time elapsed: 0.170 s
% 89.48/13.08  % (3234854)Peak memory usage: 72 MB
% 89.48/13.08  % (3234854)Instructions burned: 890 (million)
% 89.48/13.08  % (3234860)fmb+10_1_sil=64000:random_seed=780345251:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 89.48/13.08  % TRYING [1]
% 89.48/13.08  % TRYING [2]
% 89.48/13.08  % TRYING [3]
% 89.48/13.08  % TRYING [4]
% 89.48/13.08  % TRYING [5]
% 89.48/13.08  % TRYING [6]
% 89.48/13.08  % TRYING [7]
% 89.48/13.08  % TRYING [8]
% 89.48/13.08  % (3234856)Instruction limit reached! 
% 89.48/13.08  % (3234856)------------------------------
% 89.48/13.08  % (3234856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.48/13.08  % (3234856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.48/13.08  % (3234856)CaDiCaL version: 2.1.3
% 89.48/13.08  % (3234856)Termination reason: Instruction limit
% 89.48/13.08  % (3234856)Termination phase: Saturation
% 89.48/13.08  % (3234856)Time elapsed: 0.412 s
% 89.48/13.08  % (3234856)Peak memory usage: 19 MB
% 89.48/13.08  % (3234856)Instructions burned: 693 (million)
% 89.48/13.08  % (3234862)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=719039402:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 89.48/13.08  % TRYING [20]
% 89.48/13.08  % (3234852)Instruction limit reached! 
% 89.48/13.08  % (3234852)------------------------------
% 89.48/13.08  % (3234852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.48/13.08  % (3234852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.48/13.08  % (3234852)CaDiCaL version: 2.1.3
% 89.48/13.08  % (3234852)Termination reason: Instruction limit
% 89.48/13.08  % (3234852)Termination phase: Saturation
% 89.48/13.08  % (3234852)Time elapsed: 0.693 s
% 89.48/13.08  % (3234852)Peak memory usage: 21 MB
% 89.48/13.08  % (3234852)Instructions burned: 1180 (million)
% 89.48/13.08  % (3234864)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1073081373:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 89.48/13.08  % TRYING [8]
% 89.48/13.08  % TRYING [9]
% 89.48/13.08  % (3234858)Instruction limit reached! 
% 89.48/13.08  % (3234858)------------------------------
% 89.48/13.08  % (3234858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.48/13.08  % (3234858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.48/13.08  % (3234858)CaDiCaL version: 2.1.3
% 89.48/13.08  % (3234858)Termination reason: Instruction limit
% 89.48/13.08  % (3234858)Termination phase: Saturation
% 89.48/13.08  % (3234858)Time elapsed: 0.510 s
% 89.48/13.08  % (3234858)Peak memory usage: 19 MB
% 89.48/13.08  % (3234858)Instructions burned: 880 (million)
% 89.48/13.08  % (3234866)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1795628737:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 89.48/13.08  % TRYING [9]
% 89.48/13.08  % (3234864)Instruction limit reached! 
% 89.48/13.08  % (3234864)------------------------------
% 89.48/13.08  % (3234864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.48/13.08  % (3234864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.48/13.08  % (3234864)CaDiCaL version: 2.1.3
% 89.48/13.08  % (3234864)Termination reason: Instruction limit
% 89.48/13.08  % (3234864)Termination phase: Finite model building constraint generation
% 89.48/13.08  % (3234864)Time elapsed: 0.386 s
% 89.48/13.08  % (3234864)Peak memory usage: 41 MB
% 89.48/13.08  % (3234864)Instructions burned: 920 (million)
% 89.48/13.08  % (3234868)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1004283047:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 89.48/13.08  % TRYING [10]
% 89.48/13.08  % TRYING [10]
% 89.48/13.08  % (3234868)Instruction limit reached! 
% 89.48/13.08  % (3234868)------------------------------
% 89.48/13.08  % (3234868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.48/13.08  % (3234868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.48/13.08  % (3234868)CaDiCaL version: 2.1.3
% 89.48/13.08  % (3234868)Termination reason: Instruction limit
% 89.48/13.08  % (3234868)Termination phase: Saturation
% 89.48/13.08  % (3234868)Time elapsed: 0.867 s
% 89.48/13.08  % (3234868)Peak memory usage: 34 MB
% 89.48/13.08  % (3234868)Instructions burned: 1472 (million)
% 49.22/14.84  % (3234870)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4166648148:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 49.22/14.84  % TRYING [77]
% 49.22/14.84  % TRYING [11]
% 49.22/14.84  % (3234866)Instruction limit reached! 
% 49.22/14.84  % (3234866)------------------------------
% 49.22/14.84  % (3234866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.84  % (3234866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.84  % (3234866)CaDiCaL version: 2.1.3
% 49.22/14.84  % (3234866)Termination reason: Instruction limit
% 49.22/14.84  % (3234866)Termination phase: Saturation
% 49.22/14.84  % (3234866)Time elapsed: 2.768 s
% 49.22/14.84  % (3234866)Peak memory usage: 33 MB
% 49.22/14.84  % (3234866)Instructions burned: 5131 (million)
% 49.22/14.84  % (3234872)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2858727639:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 49.22/14.84  % TRYING [16]
% 49.22/14.84  % (3234870)Instruction limit reached! 
% 49.22/14.84  % (3234870)------------------------------
% 49.22/14.84  % (3234870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.84  % (3234870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.84  % (3234870)CaDiCaL version: 2.1.3
% 49.22/14.84  % (3234870)Termination reason: Instruction limit
% 49.22/14.84  % (3234870)Termination phase: Finite model building constraint generation
% 49.22/14.84  % (3234870)Time elapsed: 2.325 s
% 49.22/14.84  % (3234870)Peak memory usage: 516 MB
% 49.22/14.84  % (3234870)Instructions burned: 6325 (million)
% 49.22/14.84  % (3234872)Instruction limit reached! 
% 49.22/14.84  % (3234872)------------------------------
% 49.22/14.84  % (3234872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.84  % (3234872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.84  % (3234872)CaDiCaL version: 2.1.3
% 49.22/14.84  % (3234872)Termination reason: Instruction limit
% 49.22/14.84  % (3234872)Termination phase: Finite model building constraint generation
% 49.22/14.84  % (3234872)Time elapsed: 0.743 s
% 49.22/14.84  % (3234872)Peak memory usage: 138 MB
% 49.22/14.84  % (3234872)Instructions burned: 2175 (million)
% 49.22/14.84  % (3234874)ott-2_1_sil=16000:newcnf=on:random_seed=2674246904:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 49.22/14.84  % (3234875)ott+10_1_sil=32000:tgt=ground:random_seed=3773425968:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 49.22/14.84  % (3234874)Instruction limit reached! 
% 49.22/14.84  % (3234874)------------------------------
% 49.22/14.84  % (3234874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.84  % (3234874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.84  % (3234874)CaDiCaL version: 2.1.3
% 49.22/14.84  % (3234874)Termination reason: Instruction limit
% 49.22/14.84  % (3234874)Termination phase: Saturation
% 49.22/14.84  % (3234874)Time elapsed: 0.498 s
% 49.22/14.84  % (3234874)Peak memory usage: 20 MB
% 49.22/14.84  % (3234874)Instructions burned: 869 (million)
% 49.22/14.84  % (3234878)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2014976862:i=54282_2948 on theBenchmark for (2948ds/54282Mi)
% 49.22/14.84  % TRYING [1]
% 49.22/14.84  % TRYING [2]
% 49.22/14.84  % TRYING [3]
% 49.22/14.84  % TRYING [4]
% 49.22/14.84  % TRYING [5]
% 49.22/14.84  % TRYING [6]
% 49.22/14.84  % TRYING [7]
% 49.22/14.84  % TRYING [8]
% 49.22/14.84  % (3234862)Instruction limit reached! 
% 49.22/14.84  % (3234862)------------------------------
% 49.22/14.84  % (3234862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.84  % (3234862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.84  % (3234862)CaDiCaL version: 2.1.3
% 49.22/14.84  % (3234862)Termination reason: Instruction limit
% 49.22/14.84  % (3234862)Termination phase: Finite model building constraint generation
% 49.22/14.84  % (3234862)Time elapsed: 4.674 s
% 49.22/14.84  % (3234862)Peak memory usage: 666 MB
% 49.22/14.84  % (3234862)Instructions burned: 9515 (million)
% 49.22/14.84  % (3234880)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4062970551:i=3512:aac=none_2943 on theBenchmark for (2943ds/3512Mi)
% 49.22/14.84  % TRYING [9]
% 49.22/14.84  % (3234860)Instruction limit reached! 
% 49.22/14.84  % (3234860)------------------------------
% 49.22/14.84  % (3234860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.84  % (3234860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.84  % (3234860)CaDiCaL version: 2.1.3
% 49.22/14.84  % (3234860)Termination reason: Instruction limit
% 49.22/14.84  % (3234860)Termination phase: Finite model building SAT solving
% 49.22/14.85  % (3234860)Time elapsed: 5.777 s
% 49.22/14.85  % (3234860)Peak memory usage: 68 MB
% 49.22/14.85  % (3234860)Instructions burned: 22061 (million)
% 49.22/14.85  % (3234882)dis+21_1_sil=32000:sas=cadical:random_seed=3251671609:i=3773:amm=off_2936 on theBenchmark for (2936ds/3773Mi)
% 49.22/14.85  % TRYING [10]
% 49.22/14.85  % (3234875)Instruction limit reached! 
% 49.22/14.85  % (3234875)------------------------------
% 49.22/14.85  % (3234875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.85  % (3234875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.85  % (3234875)CaDiCaL version: 2.1.3
% 49.22/14.85  % (3234875)Termination reason: Instruction limit
% 49.22/14.85  % (3234875)Termination phase: Saturation
% 49.22/14.85  % (3234875)Time elapsed: 2.764 s
% 49.22/14.85  % (3234875)Peak memory usage: 45 MB
% 49.22/14.85  % (3234875)Instructions burned: 5114 (million)
% 49.22/14.85  % (3234884)ott+11_1_sil=16000:gs=on:random_seed=539170134:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2925 on theBenchmark for (2925ds/2251Mi)
% 49.22/14.85  % (3234882)Instruction limit reached! 
% 49.22/14.85  % (3234882)------------------------------
% 49.22/14.85  % (3234882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.85  % (3234882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.85  % (3234882)CaDiCaL version: 2.1.3
% 49.22/14.85  % (3234882)Termination reason: Instruction limit
% 49.22/14.85  % (3234882)Termination phase: Saturation
% 49.22/14.85  % (3234882)Time elapsed: 1.105 s
% 49.22/14.85  % (3234882)Peak memory usage: 35 MB
% 49.22/14.85  % (3234882)Instructions burned: 3776 (million)
% 49.22/14.85  % (3234886)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=189579981:fmbsr=1.6:i=67534_2924 on theBenchmark for (2924ds/67534Mi)
% 49.22/14.85  % TRYING [7]
% 49.22/14.85  % (3234880)Instruction limit reached! 
% 49.22/14.85  % (3234880)------------------------------
% 49.22/14.85  % (3234880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.85  % (3234880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.85  % (3234880)CaDiCaL version: 2.1.3
% 49.22/14.85  % (3234880)Termination reason: Instruction limit
% 49.22/14.85  % (3234880)Termination phase: Saturation
% 49.22/14.85  % (3234880)Time elapsed: 1.973 s
% 49.22/14.85  % (3234880)Peak memory usage: 25 MB
% 49.22/14.85  % (3234880)Instructions burned: 3513 (million)
% 49.22/14.85  % TRYING [8]
% 49.22/14.85  % (3234888)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=574052915:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2923 on theBenchmark for (2923ds/4591Mi)
% 49.22/14.85  % TRYING [9]
% 49.22/14.85  % (3234884)Instruction limit reached! 
% 49.22/14.85  % (3234884)------------------------------
% 49.22/14.85  % (3234884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.85  % (3234884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.85  % (3234884)CaDiCaL version: 2.1.3
% 49.22/14.85  % (3234884)Termination reason: Instruction limit
% 49.22/14.85  % (3234884)Termination phase: Saturation
% 49.22/14.85  % (3234884)Time elapsed: 1.191 s
% 49.22/14.85  % (3234884)Peak memory usage: 26 MB
% 49.22/14.85  % (3234884)Instructions burned: 2251 (million)
% 49.22/14.85  % (3234890)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=822652269:i=29340_2913 on theBenchmark for (2913ds/29340Mi)
% 49.22/14.85  % TRYING [10]
% 49.22/14.85  % (3234888)Instruction limit reached! 
% 49.22/14.85  % (3234888)------------------------------
% 49.22/14.85  % (3234888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.85  % (3234888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.85  % (3234888)CaDiCaL version: 2.1.3
% 49.22/14.85  % (3234888)Termination reason: Instruction limit
% 49.22/14.85  % (3234888)Termination phase: Saturation
% 49.22/14.85  % (3234888)Time elapsed: 2.267 s
% 49.22/14.85  % (3234888)Peak memory usage: 43 MB
% 49.22/14.85  % (3234888)Instructions burned: 4593 (million)
% 49.22/14.85  % (3234892)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=391454056:i=5211_2900 on theBenchmark for (2900ds/5211Mi)
% 49.22/14.85  % TRYING [11]
% 49.22/14.85  % (3234892)Instruction limit reached! 
% 49.22/14.85  % (3234892)------------------------------
% 49.22/14.85  % (3234892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.85  % (3234892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.85  % (3234892)CaDiCaL version: 2.1.3
% 49.22/14.85  % (3234892)Termination reason: Instruction limit
% 49.22/14.85  % (3234892)Termination phase: Saturation
% 49.22/14.85  % (3234892)Time elapsed: 2.685 s
% 49.22/14.85  % (3234892)Peak memory usage: 49 MB
% 49.22/14.85  % (3234892)Instructions burned: 5213 (million)
% 49.22/14.85  % (3234894)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3375425139:i=5497:nm=2_2873 on theBenchmark for (2873ds/5497Mi)
% 49.22/14.85  % TRYING [17]
% 49.22/14.85  % TRYING [11]
% 49.22/14.85  % (3234826) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3234820-3234826"...
% 49.22/14.85  % (3234826)...printing done.
% 49.22/14.85  % (3234826)Refutation found. Thanks to Tanya!
% 49.22/14.85  % SZS status Theorem for theBenchmark
% 49.22/14.85  % SZS output start Proof for theBenchmark
% See solution above
% 49.22/14.85  % (3234826)------------------------------
% 49.22/14.85  % (3234826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.22/14.85  % (3234826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.22/14.85  % (3234826)CaDiCaL version: 2.1.3
% 49.22/14.85  % (3234826)Termination reason: Refutation
% 49.22/14.85  % (3234826)Time elapsed: 14.324 s
% 49.22/14.85  % (3234826)Peak memory usage: 100 MB
% 49.22/14.85  % (3234826)Instructions burned: 24530 (million)
% 49.22/14.85  % (3234820)Success in time 14.433 s
% 49.22/14.85  % Vampire exiting
%------------------------------------------------------------------------------