↑ Up

Vampire---5.0.1.THM-Ref.s

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

% Computer : n009.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 12:42:29 PM UTC 2026

% Result   : Theorem 0.59s 0.92s
% Output   : Refutation 2.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   63 (  11 unt;   2 def)
%            Number of atoms       :  273 ( 105 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  344 ( 134   ~; 156   |;  39   &)
%                                         (  10 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   98 (   0 sgn  83   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1] :
      ( X1 = singleton(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X2 = X0 ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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] :
      ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
      | relation_rng(X0) = X1
      | in(sK1(X0,X1),X1)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f70]) ).

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

fof(f95,plain,
    ! [X3,X0,X1] :
      ( ~ in(sK1(X0,X1),X1)
      | ~ in(X3,relation_dom(X0))
      | apply(X0,X3) != sK1(X0,X1)
      | relation_rng(X0) = 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(f146,plain,
    in(sK13,relation_dom(sK14)),
    inference(superposition,[],[f139,f126]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK14))
      | sK13 = X0 ),
    inference(superposition,[],[f140,f126]) ).

fof(f196,plain,
    ! [X0] :
      ( relation_rng(sK14) = X0
      | in(sK1(sK14,X0),X0)
      | ~ relation(sK14)
      | ~ function(sK14)
      | sK13 = sK2(sK14,X0) ),
    inference(resolution,[],[f94,f169]) ).

fof(f197,plain,
    ! [X0] :
      ( relation_rng(sK14) = X0
      | in(sK1(sK14,X0),X0)
      | ~ function(sK14)
      | sK13 = sK2(sK14,X0) ),
    inference(forward_subsumption_resolution,[],[f196,f125]) ).

fof(f198,plain,
    ! [X0] :
      ( sK13 = sK2(sK14,X0)
      | in(sK1(sK14,X0),X0)
      | relation_rng(sK14) = X0 ),
    inference(forward_subsumption_resolution,[],[f197,f124]) ).

fof(f201,plain,
    ! [X0] :
      ( apply(sK14,sK13) = sK1(sK14,X0)
      | relation_rng(sK14) = X0
      | in(sK1(sK14,X0),X0)
      | ~ relation(sK14)
      | ~ function(sK14)
      | in(sK1(sK14,X0),X0)
      | relation_rng(sK14) = X0 ),
    inference(superposition,[],[f93,f198]) ).

fof(f204,plain,
    ! [X0] :
      ( apply(sK14,sK13) = sK1(sK14,X0)
      | relation_rng(sK14) = X0
      | in(sK1(sK14,X0),X0)
      | ~ relation(sK14)
      | ~ function(sK14) ),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f206,plain,
    ! [X0] :
      ( apply(sK14,sK13) = sK1(sK14,X0)
      | relation_rng(sK14) = X0
      | in(sK1(sK14,X0),X0)
      | ~ function(sK14) ),
    inference(forward_subsumption_resolution,[],[f204,f125]) ).

fof(f207,plain,
    ! [X0] :
      ( apply(sK14,sK13) = sK1(sK14,X0)
      | relation_rng(sK14) = X0
      | in(sK1(sK14,X0),X0) ),
    inference(forward_subsumption_resolution,[],[f206,f124]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ in(apply(sK14,sK13),X0)
      | ~ in(X1,relation_dom(sK14))
      | apply(sK14,sK13) != apply(sK14,X1)
      | relation_rng(sK14) = X0
      | ~ relation(sK14)
      | ~ function(sK14)
      | relation_rng(sK14) = X0
      | in(sK1(sK14,X0),X0) ),
    inference(superposition,[],[f95,f207]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ in(apply(sK14,sK13),X0)
      | ~ in(X1,relation_dom(sK14))
      | apply(sK14,sK13) != apply(sK14,X1)
      | relation_rng(sK14) = X0
      | ~ relation(sK14)
      | ~ function(sK14)
      | in(sK1(sK14,X0),X0) ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ in(apply(sK14,sK13),X0)
      | ~ in(X1,relation_dom(sK14))
      | apply(sK14,sK13) != apply(sK14,X1)
      | relation_rng(sK14) = X0
      | ~ function(sK14)
      | in(sK1(sK14,X0),X0) ),
    inference(forward_subsumption_resolution,[],[f210,f125]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ in(apply(sK14,sK13),X0)
      | ~ in(X1,relation_dom(sK14))
      | apply(sK14,sK13) != apply(sK14,X1)
      | relation_rng(sK14) = X0
      | in(sK1(sK14,X0),X0) ),
    inference(forward_subsumption_resolution,[],[f211,f124]) ).

fof(f214,definition,
    ( spl16_1
  <=> ! [X1] :
        ( ~ in(X1,relation_dom(sK14))
        | apply(sK14,sK13) != apply(sK14,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X1] :
        ( apply(sK14,sK13) != apply(sK14,X1)
        | ~ in(X1,relation_dom(sK14)) )
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f217,definition,
    ( spl16_2
  <=> ! [X0] :
        ( ~ in(apply(sK14,sK13),X0)
        | in(sK1(sK14,X0),X0)
        | relation_rng(sK14) = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).

fof(f218,plain,
    ( ! [X0] :
        ( ~ in(apply(sK14,sK13),X0)
        | in(sK1(sK14,X0),X0)
        | relation_rng(sK14) = X0 )
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f219,plain,
    ( spl16_1
    | spl16_2 ),
    inference(avatar_split_clause,[],[f212,f217,f214]) ).

fof(f221,plain,
    ( in(sK1(sK14,singleton(apply(sK14,sK13))),singleton(apply(sK14,sK13)))
    | relation_rng(sK14) = singleton(apply(sK14,sK13))
    | ~ spl16_2 ),
    inference(resolution,[],[f218,f139]) ).

fof(f222,plain,
    ( in(sK1(sK14,singleton(apply(sK14,sK13))),singleton(apply(sK14,sK13)))
    | ~ spl16_2 ),
    inference(forward_subsumption_resolution,[],[f221,f127]) ).

fof(f233,plain,
    ( apply(sK14,sK13) = sK1(sK14,singleton(apply(sK14,sK13)))
    | ~ spl16_2 ),
    inference(resolution,[],[f222,f140]) ).

fof(f247,plain,
    ( ! [X0] :
        ( ~ in(apply(sK14,sK13),singleton(apply(sK14,sK13)))
        | ~ in(X0,relation_dom(sK14))
        | apply(sK14,sK13) != apply(sK14,X0)
        | relation_rng(sK14) = singleton(apply(sK14,sK13))
        | ~ relation(sK14)
        | ~ function(sK14) )
    | ~ spl16_2 ),
    inference(superposition,[],[f95,f233]) ).

fof(f248,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_dom(sK14))
        | apply(sK14,sK13) != apply(sK14,X0)
        | relation_rng(sK14) = singleton(apply(sK14,sK13))
        | ~ relation(sK14)
        | ~ function(sK14) )
    | ~ spl16_2 ),
    inference(forward_subsumption_resolution,[],[f247,f139]) ).

fof(f249,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_dom(sK14))
        | apply(sK14,sK13) != apply(sK14,X0)
        | ~ relation(sK14)
        | ~ function(sK14) )
    | ~ spl16_2 ),
    inference(forward_subsumption_resolution,[],[f248,f127]) ).

fof(f250,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_dom(sK14))
        | apply(sK14,sK13) != apply(sK14,X0)
        | ~ function(sK14) )
    | ~ spl16_2 ),
    inference(forward_subsumption_resolution,[],[f249,f125]) ).

fof(f251,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_dom(sK14))
        | apply(sK14,sK13) != apply(sK14,X0) )
    | ~ spl16_2 ),
    inference(forward_subsumption_resolution,[],[f250,f124]) ).

fof(f252,plain,
    ( spl16_1
    | ~ spl16_2 ),
    inference(avatar_split_clause,[],[f251,f217,f214]) ).

fof(f265,plain,
    ( ~ in(sK13,relation_dom(sK14))
    | ~ spl16_1 ),
    inference(equality_resolution,[],[f215]) ).

fof(f266,plain,
    ( $false
    | ~ spl16_1 ),
    inference(forward_subsumption_resolution,[],[f265,f146]) ).

fof(f267,plain,
    ~ spl16_1,
    inference(avatar_contradiction_clause,[],[f266]) ).

cnf(s1,plain,
    ( spl16_1
    | spl16_2 ),
    inference(sat_conversion,[],[f219]) ).

cnf(s2,plain,
    ( spl16_1
    | ~ spl16_2 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s3,plain,
    ~ spl16_1,
    inference(sat_conversion,[],[f267]) ).

cnf(s4,plain,
    ~ spl16_2,
    inference(rat,[],[s2,s3]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s1,s4,s3]) ).

fof(f272,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET992+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n009.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 03:21:15 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 0.59/0.92  % (2633069)Detected formulas, will run a generic FOF schedule.
% 0.59/0.92  % (2633079)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1805925030:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.59/0.92  % (2633079)First to succeed.
% 0.59/0.92  % (2633079)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2633069"
% 0.59/0.92  % (2633074)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=612748913:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.59/0.92  % (2633078)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2519290856:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.59/0.92  % (2633075)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=423303562:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.59/0.92  % (2633077)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2890227482:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.59/0.92  % (2633076)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=744360906:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.59/0.92  % (2633080)dis-21_1_sil=8000:lcm=predicate:random_seed=4249396457:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.59/0.92  % (2633078)Also succeeded, but the first one will report.
% 0.59/0.92  % (2633077)Also succeeded, but the first one will report.
% 0.59/0.92  % (2633080)Instruction limit reached! 
% 0.59/0.92  % (2633080)------------------------------
% 0.59/0.92  % (2633080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.59/0.92  % (2633080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.92  % (2633080)CaDiCaL version: 2.1.3
% 0.59/0.92  % (2633080)Termination reason: Instruction limit
% 0.59/0.92  % (2633080)Termination phase: Saturation
% 0.59/0.92  % (2633080)Time elapsed: 0.084 s
% 0.59/0.92  % (2633080)Peak memory usage: 90 MB
% 0.59/0.92  % (2633080)Instructions burned: 130 (million)
% 0.59/0.92  % (2633079)Refutation found. Thanks to Tanya!
% 0.59/0.92  % SZS status Theorem for theBenchmark
% 0.59/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 2.47/1.06  % (2633079)------------------------------
% 2.47/1.06  % (2633079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.06  % (2633079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.06  % (2633079)CaDiCaL version: 2.1.3
% 2.47/1.06  % (2633079)Termination reason: Refutation
% 2.47/1.06  % (2633079)Time elapsed: 0.005 s
% 2.47/1.06  % (2633079)Peak memory usage: 90 MB
% 2.47/1.06  % (2633079)Instructions burned: 10 (million)
% 2.47/1.06  % (2633079)------------------------------
% 2.47/1.06  % (2633079)------------------------------
% 2.47/1.06  % (2633069)Success in time 0.296 s
% 2.47/1.06  % Vampire exiting
%------------------------------------------------------------------------------