↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET992+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 12:45:08 PM UTC 2026

% Result   : Theorem 2.50s 0.94s
% Output   : Refutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   90 (  26 unt;   8 def)
%            Number of atoms       :  288 ( 122 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  315 ( 117   ~; 143   |;  39   &)
%                                         (  11 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   88 (   0 sgn  73   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1] :
      ( X1 = singleton(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X2 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

fof(f5,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/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).

fof(f25,conjecture,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( relation_dom(X1) = singleton(X0)
       => relation_rng(X1) = singleton(apply(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_funct_1) ).

fof(f26,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( relation(X1)
          & function(X1) )
       => ( relation_dom(X1) = singleton(X0)
         => relation_rng(X1) = singleton(apply(X1,X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

fof(f43,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,[],[f5]) ).

fof(f44,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,[],[f43]) ).

fof(f52,plain,
    ? [X0,X1] :
      ( relation_rng(X1) != singleton(apply(X1,X0))
      & relation_dom(X1) = singleton(X0)
      & relation(X1)
      & function(X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f53,plain,
    ? [X0,X1] :
      ( relation_rng(X1) != singleton(apply(X1,X0))
      & relation_dom(X1) = singleton(X0)
      & relation(X1)
      & function(X1) ),
    inference(flattening,[],[f52]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X2 = X0
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | X0 != X2 )
            & ( X2 = X0
              | ~ in(X2,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X2 = X0
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(rectify,[],[f65]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ( ( sK0(X0,X1) != X0
            | ~ in(sK0(X0,X1),X1) )
          & ( sK0(X0,X1) = X0
            | in(sK0(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 )
                  | ~ in(X2,X1) )
                & ( ? [X3] :
                      ( in(X3,relation_dom(X0))
                      & X2 = apply(X0,X3) )
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 ) )
                & ( ? [X3] :
                      ( in(X3,relation_dom(X0))
                      & X2 = apply(X0,X3) )
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 )
                  | ~ in(X2,X1) )
                & ( ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & apply(X0,X4) = X2 )
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( ~ in(X6,relation_dom(X0))
                      | apply(X0,X6) != X5 ) )
                & ( ? [X7] :
                      ( in(X7,relation_dom(X0))
                      & apply(X0,X7) = X5 )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f68]) ).

fof(f70,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ( ( ! [X3] :
                    ( ~ in(X3,relation_dom(X0))
                    | apply(X0,X3) != sK1(X0,X1) )
                | ~ in(sK1(X0,X1),X1) )
              & ( ( in(sK2(X0,X1),relation_dom(X0))
                  & sK1(X0,X1) = apply(X0,sK2(X0,X1)) )
                | in(sK1(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( ~ in(X6,relation_dom(X0))
                      | apply(X0,X6) != X5 ) )
                & ( ( in(sK3(X0,X5),relation_dom(X0))
                    & apply(X0,sK3(X0,X5)) = X5 )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f69]) ).

fof(f80,plain,
    ( relation_rng(sK14) != singleton(apply(sK14,sK13))
    & singleton(sK13) = relation_dom(sK14)
    & relation(sK14)
    & function(sK14) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f53]) ).

fof(f86,plain,
    ! [X3,X0,X1] :
      ( X0 = X3
      | ~ in(X3,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f67]) ).

fof(f87,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | X0 != X3
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f67]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | sK1(X0,X1) = apply(X0,sK2(X0,X1))
      | in(sK1(X0,X1),X1)
      | relation_rng(X0) = X1
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | in(sK2(X0,X1),relation_dom(X0))
      | in(sK1(X0,X1),X1)
      | relation_rng(X0) = X1
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f95,plain,
    ! [X3,X0,X1] :
      ( apply(X0,X3) != sK1(X0,X1)
      | ~ in(X3,relation_dom(X0))
      | relation_rng(X0) = X1
      | ~ in(sK1(X0,X1),X1)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f124,plain,
    function(sK14),
    inference(cnf_transformation,[],[f80]) ).

fof(f125,plain,
    relation(sK14),
    inference(cnf_transformation,[],[f80]) ).

fof(f126,plain,
    singleton(sK13) = relation_dom(sK14),
    inference(cnf_transformation,[],[f80]) ).

fof(f127,plain,
    relation_rng(sK14) != singleton(apply(sK14,sK13)),
    inference(cnf_transformation,[],[f80]) ).

fof(f138,plain,
    ! [X3,X1] :
      ( in(X3,X1)
      | singleton(X3) != X1 ),
    inference(equality_resolution,[],[f87]) ).

fof(f139,plain,
    ! [X3] : in(X3,singleton(X3)),
    inference(equality_resolution,[],[f138]) ).

fof(f140,plain,
    ! [X3,X0] :
      ( ~ in(X3,singleton(X0))
      | X0 = X3 ),
    inference(equality_resolution,[],[f86]) ).

fof(f145,definition,
    sF16 = relation_rng(sK14),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f146,plain,
    relation_rng(sK14) = sF16,
    inference(reorient_equations,[],[f145]) ).

fof(f147,definition,
    sF17 = apply(sK14,sK13),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f148,plain,
    apply(sK14,sK13) = sF17,
    inference(reorient_equations,[],[f147]) ).

fof(f149,definition,
    sF18 = singleton(sF17),
    introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).

fof(f150,plain,
    singleton(sF17) = sF18,
    inference(reorient_equations,[],[f149]) ).

fof(f151,plain,
    sF16 != sF18,
    inference(definition_folding,[],[f127,f150,f148,f146]) ).

fof(f152,definition,
    sF19 = singleton(sK13),
    introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).

fof(f153,plain,
    singleton(sK13) = sF19,
    inference(reorient_equations,[],[f152]) ).

fof(f154,definition,
    sF20 = relation_dom(sK14),
    introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).

fof(f155,plain,
    relation_dom(sK14) = sF20,
    inference(reorient_equations,[],[f154]) ).

fof(f156,plain,
    sF19 = sF20,
    inference(definition_folding,[],[f126,f155,f153]) ).

fof(f157,plain,
    relation_dom(sK14) = sF19,
    inference(forward_demodulation,[],[f155,f156]) ).

fof(f166,plain,
    in(sF17,sF18),
    inference(superposition,[],[f139,f150]) ).

fof(f168,plain,
    in(sK13,sF19),
    inference(superposition,[],[f139,f153]) ).

fof(f231,plain,
    ! [X0] :
      ( ~ in(X0,sF18)
      | sF17 = X0 ),
    inference(superposition,[],[f140,f150]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ in(X0,sF19)
      | sK13 = X0 ),
    inference(superposition,[],[f140,f153]) ).

fof(f338,plain,
    ! [X0] :
      ( in(sK2(sK14,X0),relation_dom(sK14))
      | in(sK1(sK14,X0),X0)
      | relation_rng(sK14) = X0
      | ~ function(sK14) ),
    inference(resolution,[],[f94,f125]) ).

fof(f339,plain,
    ! [X0] :
      ( in(sK2(sK14,X0),relation_dom(sK14))
      | in(sK1(sK14,X0),X0)
      | relation_rng(sK14) = X0 ),
    inference(forward_subsumption_resolution,[],[f338,f124]) ).

fof(f363,plain,
    ! [X0] :
      ( in(sK2(sK14,X0),sF19)
      | in(sK1(sK14,X0),X0)
      | relation_rng(sK14) = X0 ),
    inference(forward_demodulation,[],[f339,f157]) ).

fof(f367,plain,
    ! [X0] :
      ( in(sK2(sK14,X0),sF19)
      | sF16 = X0
      | in(sK1(sK14,X0),X0) ),
    inference(forward_demodulation,[],[f363,f146]) ).

fof(f383,plain,
    ! [X0] :
      ( sK1(sK14,X0) = apply(sK14,sK2(sK14,X0))
      | in(sK1(sK14,X0),X0)
      | relation_rng(sK14) = X0
      | ~ function(sK14) ),
    inference(resolution,[],[f93,f125]) ).

fof(f384,plain,
    ! [X0] :
      ( sK1(sK14,X0) = apply(sK14,sK2(sK14,X0))
      | in(sK1(sK14,X0),X0)
      | relation_rng(sK14) = X0 ),
    inference(forward_subsumption_resolution,[],[f383,f124]) ).

fof(f392,plain,
    ! [X0] :
      ( in(sK1(sK14,X0),X0)
      | sK1(sK14,X0) = apply(sK14,sK2(sK14,X0))
      | sF16 = X0 ),
    inference(forward_demodulation,[],[f384,f146]) ).

fof(f405,plain,
    ! [X0] :
      ( sF17 != sK1(sK14,X0)
      | ~ in(sK13,relation_dom(sK14))
      | relation_rng(sK14) = X0
      | ~ in(sK1(sK14,X0),X0)
      | ~ relation(sK14)
      | ~ function(sK14) ),
    inference(superposition,[],[f95,f148]) ).

fof(f406,plain,
    ! [X0] :
      ( sF17 != sK1(sK14,X0)
      | ~ in(sK13,relation_dom(sK14))
      | relation_rng(sK14) = X0
      | ~ in(sK1(sK14,X0),X0)
      | ~ function(sK14) ),
    inference(forward_subsumption_resolution,[],[f405,f125]) ).

fof(f407,plain,
    ! [X0] :
      ( sF17 != sK1(sK14,X0)
      | ~ in(sK13,relation_dom(sK14))
      | relation_rng(sK14) = X0
      | ~ in(sK1(sK14,X0),X0) ),
    inference(forward_subsumption_resolution,[],[f406,f124]) ).

fof(f408,plain,
    ! [X0] :
      ( ~ in(sK13,sF19)
      | sF17 != sK1(sK14,X0)
      | relation_rng(sK14) = X0
      | ~ in(sK1(sK14,X0),X0) ),
    inference(forward_demodulation,[],[f407,f157]) ).

fof(f409,plain,
    ! [X0] :
      ( sF17 != sK1(sK14,X0)
      | relation_rng(sK14) = X0
      | ~ in(sK1(sK14,X0),X0) ),
    inference(forward_subsumption_resolution,[],[f408,f168]) ).

fof(f410,plain,
    ! [X0] :
      ( sF17 != sK1(sK14,X0)
      | sF16 = X0
      | ~ in(sK1(sK14,X0),X0) ),
    inference(forward_demodulation,[],[f409,f146]) ).

fof(f525,plain,
    ( sF17 = sK1(sK14,sF18)
    | sK1(sK14,sF18) = apply(sK14,sK2(sK14,sF18))
    | sF16 = sF18 ),
    inference(resolution,[],[f231,f392]) ).

fof(f529,plain,
    ( sF17 = sK1(sK14,sF18)
    | sK1(sK14,sF18) = apply(sK14,sK2(sK14,sF18)) ),
    inference(forward_subsumption_resolution,[],[f525,f151]) ).

fof(f531,definition,
    ( spl21_16
  <=> sK1(sK14,sF18) = apply(sK14,sK2(sK14,sF18)) ),
    introduced(definition,[new_symbols(definition,[spl21_16])],[avatar_definition]) ).

fof(f533,plain,
    ( sK1(sK14,sF18) = apply(sK14,sK2(sK14,sF18))
    | ~ spl21_16 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f535,definition,
    ( spl21_17
  <=> sF17 = sK1(sK14,sF18) ),
    introduced(definition,[new_symbols(definition,[spl21_17])],[avatar_definition]) ).

fof(f536,plain,
    ( sF17 != sK1(sK14,sF18)
    | spl21_17 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( sF17 = sK1(sK14,sF18)
    | ~ spl21_17 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f538,plain,
    ( spl21_16
    | spl21_17 ),
    inference(avatar_split_clause,[],[f529,f535,f531]) ).

fof(f799,definition,
    ( spl21_23
  <=> in(sK2(sK14,sF18),sF19) ),
    introduced(definition,[new_symbols(definition,[spl21_23])],[avatar_definition]) ).

fof(f800,plain,
    ( in(sK2(sK14,sF18),sF19)
    | ~ spl21_23 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f801,plain,
    ( ~ in(sK2(sK14,sF18),sF19)
    | spl21_23 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f838,plain,
    ( sF16 = sF18
    | in(sK1(sK14,sF18),sF18)
    | spl21_23 ),
    inference(resolution,[],[f801,f367]) ).

fof(f839,plain,
    ( in(sK1(sK14,sF18),sF18)
    | spl21_23 ),
    inference(forward_subsumption_resolution,[],[f838,f151]) ).

fof(f859,plain,
    ( sF17 = sK1(sK14,sF18)
    | spl21_23 ),
    inference(resolution,[],[f839,f231]) ).

fof(f863,plain,
    ( spl21_17
    | spl21_23 ),
    inference(avatar_split_clause,[],[f859,f799,f535]) ).

fof(f885,plain,
    ( sF17 != sF17
    | sF16 = sF18
    | ~ in(sF17,sF18)
    | ~ spl21_17 ),
    inference(superposition,[],[f410,f537]) ).

fof(f886,plain,
    ( sF16 = sF18
    | ~ in(sF17,sF18)
    | ~ spl21_17 ),
    inference(trivial_inequality_removal,[],[f885]) ).

fof(f887,plain,
    ( ~ in(sF17,sF18)
    | ~ spl21_17 ),
    inference(forward_subsumption_resolution,[],[f886,f151]) ).

fof(f888,plain,
    ( $false
    | ~ spl21_17 ),
    inference(forward_subsumption_resolution,[],[f887,f166]) ).

fof(f889,plain,
    ~ spl21_17,
    inference(avatar_contradiction_clause,[],[f888]) ).

fof(f1113,plain,
    ( sK13 = sK2(sK14,sF18)
    | ~ spl21_23 ),
    inference(resolution,[],[f800,f232]) ).

fof(f1278,plain,
    ( apply(sK14,sK13) = sK1(sK14,sF18)
    | ~ spl21_16
    | ~ spl21_23 ),
    inference(superposition,[],[f533,f1113]) ).

fof(f1280,plain,
    ( sF17 = sK1(sK14,sF18)
    | ~ spl21_16
    | ~ spl21_23 ),
    inference(forward_demodulation,[],[f1278,f148]) ).

fof(f1281,plain,
    ( $false
    | ~ spl21_16
    | spl21_17
    | ~ spl21_23 ),
    inference(forward_subsumption_resolution,[],[f1280,f536]) ).

fof(f1282,plain,
    ( ~ spl21_16
    | spl21_17
    | ~ spl21_23 ),
    inference(avatar_contradiction_clause,[],[f1281]) ).

cnf(s17,plain,
    ( spl21_16
    | spl21_17 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s26,plain,
    ( spl21_17
    | spl21_23 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s27,plain,
    ~ spl21_17,
    inference(sat_conversion,[],[f889]) ).

cnf(s40,plain,
    ( ~ spl21_16
    | spl21_17
    | ~ spl21_23 ),
    inference(sat_conversion,[],[f1282]) ).

cnf(s41,plain,
    spl21_23,
    inference(rat,[],[s26,s27]) ).

cnf(s42,plain,
    ~ spl21_16,
    inference(rat,[],[s40,s27,s41]) ).

cnf(s44,plain,
    $false,
    inference(rat,[],[s17,s27,s42]) ).

fof(f1283,plain,
    $false,
    inference(avatar_sat_refutation,[],[s44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET992+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38  % Computer : n003.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8046.5625MB
% 0.14/0.38  % OS       : Linux 6.8.0-71-generic
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Mon Sep 28 03:22:56 UTC 2026
% 0.14/0.39  % CPUTime  : 
% 0.14/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42  Running first-order model finding
% 0.14/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/0.94  % (1152990)Will run a generic schedule for satisfiability detection.
% 2.50/0.94  % (1152997)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=148172662:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.50/0.94  % (1152996)% WARNING: option uhcvi not known.
% 2.50/0.94  % (1152995)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3376137810_2999 on theBenchmark for (2999ds/0Mi)
% 2.50/0.94  % (1152999)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2145848353:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.50/0.94  % (1152996)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3944106845:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.50/0.94  % (1153000)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=928578974:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.50/0.94  % (1152998)dis+10_1_sil=32000:sp=arity:random_seed=412897156:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.50/0.94  % (1153001)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3144208481:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.50/0.94  % TRYING [1]
% 2.50/0.94  % TRYING [2]
% 2.50/0.94  % TRYING [3]
% 2.50/0.94  % TRYING [4]
% 2.50/0.94  % TRYING [5]
% 2.50/0.94  % TRYING [6]
% 2.50/0.94  % TRYING [7]
% 2.50/0.94  % (1152998)Instruction limit reached! 
% 2.50/0.94  % (1152998)------------------------------
% 2.50/0.94  % (1152998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1152998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1152998)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1152998)Termination reason: Instruction limit
% 2.50/0.94  % (1152998)Termination phase: Saturation
% 2.50/0.94  % (1152998)Time elapsed: 0.063 s
% 2.50/0.94  % (1152998)Peak memory usage: 12 MB
% 2.50/0.94  % (1152998)Instructions burned: 103 (million)
% 2.50/0.94  % (1152999)Instruction limit reached! 
% 2.50/0.94  % (1152999)------------------------------
% 2.50/0.94  % (1152999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1152999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1152999)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1152999)Termination reason: Instruction limit
% 2.50/0.94  % (1152999)Termination phase: Saturation
% 2.50/0.94  % (1152999)Time elapsed: 0.070 s
% 2.50/0.94  % (1152999)Peak memory usage: 12 MB
% 2.50/0.94  % (1152999)Instructions burned: 117 (million)
% 2.50/0.94  % TRYING [8]
% 2.50/0.94  % (1153000)Instruction limit reached! 
% 2.50/0.94  % (1153000)------------------------------
% 2.50/0.94  % (1153000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1153000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1153000)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1153000)Termination reason: Instruction limit
% 2.50/0.94  % (1153000)Termination phase: Saturation
% 2.50/0.94  % (1153000)Time elapsed: 0.082 s
% 2.50/0.94  % (1153000)Peak memory usage: 12 MB
% 2.50/0.94  % (1153000)Instructions burned: 131 (million)
% 2.50/0.94  % (1153009)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1965125157:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.50/0.94  % TRYING [1]
% 2.50/0.94  % TRYING [2]
% 2.50/0.94  % TRYING [3]
% 2.50/0.94  % TRYING [4]
% 2.50/0.94  % (1153010)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1156947875:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.50/0.94  % TRYING [5]
% 2.50/0.94  % (1153001)Instruction limit reached! 
% 2.50/0.94  % (1153001)------------------------------
% 2.50/0.94  % (1153001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1153001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1153001)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1153001)Termination reason: Instruction limit
% 2.50/0.94  % (1153001)Termination phase: Saturation
% 2.50/0.94  % (1153001)Time elapsed: 0.098 s
% 2.50/0.94  % (1153001)Peak memory usage: 14 MB
% 2.50/0.94  % (1153001)Instructions burned: 159 (million)
% 2.50/0.94  % (1153012)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=3246290196:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.50/0.94  % TRYING [6]
% 2.50/0.94  % (1153014)ott-21_1_sil=16000:fs=off:random_seed=4180027398:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.50/0.94  % TRYING [7]
% 2.50/0.94  % TRYING [8]
% 2.50/0.94  % TRYING [9]
% 2.50/0.94  % (1153010)Instruction limit reached! 
% 2.50/0.94  % (1153010)------------------------------
% 2.50/0.94  % (1153010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1153010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1153010)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1153010)Termination reason: Instruction limit
% 2.50/0.94  % (1153010)Termination phase: Saturation
% 2.50/0.94  % (1153010)Time elapsed: 0.086 s
% 2.50/0.94  % (1153010)Peak memory usage: 12 MB
% 2.50/0.94  % (1153010)Instructions burned: 132 (million)
% 2.50/0.94  % (1153017)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=825888182:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.50/0.94  % (1153014)Instruction limit reached! 
% 2.50/0.94  % (1153014)------------------------------
% 2.50/0.94  % (1153014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1153014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1153014)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1153014)Termination reason: Instruction limit
% 2.50/0.94  % (1153014)Termination phase: Saturation
% 2.50/0.94  % (1153014)Time elapsed: 0.084 s
% 2.50/0.94  % (1153014)Peak memory usage: 12 MB
% 2.50/0.94  % (1153014)Instructions burned: 181 (million)
% 2.50/0.94  % (1153019)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=120643941:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.50/0.94  % TRYING [1]
% 2.50/0.94  % TRYING [2]
% 2.50/0.94  % TRYING [3]
% 2.50/0.94  % TRYING [4]
% 2.50/0.94  % TRYING [5]
% 2.50/0.94  % TRYING [6]
% 2.50/0.94  % TRYING [9]
% 2.50/0.94  % TRYING [7]
% 2.50/0.94  % (1153009)Instruction limit reached! 
% 2.50/0.94  % (1153009)------------------------------
% 2.50/0.94  % (1153009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1153009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1153009)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1153009)Termination reason: Instruction limit
% 2.50/0.94  % (1153009)Termination phase: Finite model building SAT solving
% 2.50/0.94  % (1153009)Time elapsed: 0.339 s
% 2.50/0.94  % (1153009)Peak memory usage: 20 MB
% 2.50/0.94  % (1153009)Instructions burned: 714 (million)
% 2.50/0.94  % TRYING [8]
% 2.50/0.94  % (1153012)Instruction limit reached! 
% 2.50/0.94  % (1153012)------------------------------
% 2.50/0.94  % (1153012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1153012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1153012)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1153012)Termination reason: Instruction limit
% 2.50/0.94  % (1153012)Termination phase: Saturation
% 2.50/0.94  % (1153012)Time elapsed: 0.339 s
% 2.50/0.94  % (1153012)Peak memory usage: 19 MB
% 2.50/0.94  % (1153012)Instructions burned: 684 (million)
% 2.50/0.94  % (1153021)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2750931054:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.50/0.94  % (1153022)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=329932106:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.50/0.94  % (1153021) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1152990-1153021"...
% 2.50/0.94  % (1153021)...printing done.
% 2.50/0.94  % (1153021)Refutation found. Thanks to Tanya!
% 2.50/0.94  % SZS status Theorem for theBenchmark
% 2.50/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 2.50/0.94  % (1153021)------------------------------
% 2.50/0.94  % (1153021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.94  % (1153021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.94  % (1153021)CaDiCaL version: 2.1.3
% 2.50/0.94  % (1153021)Termination reason: Refutation
% 2.50/0.94  % (1153021)Time elapsed: 0.028 s
% 2.50/0.94  % (1153021)Peak memory usage: 13 MB
% 2.50/0.94  % (1153021)Instructions burned: 44 (million)
% 2.50/0.94  % (1152990)Success in time 0.513 s
% 2.50/0.94  % Vampire exiting
%------------------------------------------------------------------------------