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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS084+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 11:41:37 AM UTC 2026

% Result   : Unsatisfiable 2.72s 1.28s
% Output   : Refutation 3.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   85 (  11 unt;   4 def)
%            Number of atoms       :  285 (  21 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  341 ( 141   ~; 133   |;  53   &)
%                                         (  10 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :  113 (   0 sgn  94   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        & ! [X1] :
            ( rinvR(X0,X1)
           => ? [X2] :
                ( rinvF(X1,X2)
                & cd(X2) ) )
        & ~ cc(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f19,axiom,
    ! [X0] :
      ( cd(X0)
    <=> ( ? [X1] :
            ( rf(X0,X1)
            & ~ cc(X1) )
        & cc(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f20,axiom,
    ! [X0,X1,X2] :
      ( ( rf(X0,X1)
        & rf(X0,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f24,axiom,
    cUnsatisfiable(i2003_11_14_17_19_35232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( rf(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f26,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        & ! [X2] :
            ( rinvR(X0,X2)
           => ? [X3] :
                ( rinvF(X2,X3)
                & cd(X3) ) )
        & ~ cc(X0) ) ),
    inference(rectify,[],[f18]) ).

fof(f57,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        & ! [X2] :
            ( ? [X3] :
                ( rinvF(X2,X3)
                & cd(X3) )
            | ~ rinvR(X0,X2) )
        & ~ cc(X0) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X1)
      | ~ rf(X0,X2) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X1)
      | ~ rf(X0,X2) ),
    inference(flattening,[],[f58]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f64,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) )
        | ? [X2] :
            ( ! [X3] :
                ( ~ rinvF(X2,X3)
                | ~ cd(X3) )
            & rinvR(X0,X2) )
        | cc(X0) )
      & ( ( ? [X1] :
              ( rinvF(X0,X1)
              & cd(X1) )
          & ! [X2] :
              ( ? [X3] :
                  ( rinvF(X2,X3)
                  & cd(X3) )
              | ~ rinvR(X0,X2) )
          & ~ cc(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f65,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) )
        | ? [X2] :
            ( ! [X3] :
                ( ~ rinvF(X2,X3)
                | ~ cd(X3) )
            & rinvR(X0,X2) )
        | cc(X0) )
      & ( ( ? [X1] :
              ( rinvF(X0,X1)
              & cd(X1) )
          & ! [X2] :
              ( ? [X3] :
                  ( rinvF(X2,X3)
                  & cd(X3) )
              | ~ rinvR(X0,X2) )
          & ~ cc(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) )
        | ? [X2] :
            ( ! [X3] :
                ( ~ rinvF(X2,X3)
                | ~ cd(X3) )
            & rinvR(X0,X2) )
        | cc(X0) )
      & ( ( ? [X4] :
              ( rinvF(X0,X4)
              & cd(X4) )
          & ! [X5] :
              ( ? [X6] :
                  ( rinvF(X5,X6)
                  & cd(X6) )
              | ~ rinvR(X0,X5) )
          & ~ cc(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f65]) ).

fof(f67,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) )
        | ( ! [X3] :
              ( ~ rinvF(sK0(X0),X3)
              | ~ cd(X3) )
          & rinvR(X0,sK0(X0)) )
        | cc(X0) )
      & ( ( rinvF(X0,sK1(X0))
          & cd(sK1(X0))
          & ! [X5] :
              ( ( rinvF(X5,sK2(X5))
                & cd(sK2(X5)) )
              | ~ rinvR(X0,X5) )
          & ~ cc(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0)),skolemize(X4,sK1(X0)),skolemize(X6,sK2(X5))],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | cc(X1) )
        | ~ cc(X0) )
      & ( ( ? [X1] :
              ( rf(X0,X1)
              & ~ cc(X1) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f69,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | cc(X1) )
        | ~ cc(X0) )
      & ( ( ? [X1] :
              ( rf(X0,X1)
              & ~ cc(X1) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(flattening,[],[f68]) ).

fof(f70,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | cc(X1) )
        | ~ cc(X0) )
      & ( ( ? [X2] :
              ( rf(X0,X2)
              & ~ cc(X2) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(rectify,[],[f69]) ).

fof(f71,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | cc(X1) )
        | ~ cc(X0) )
      & ( ( rf(X0,sK3(X0))
          & ~ cc(sK3(X0))
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f70]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( rinvR(X0,X1)
        | ~ rr(X1,X0) )
      & ( rr(X1,X0)
        | ~ rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f94,plain,
    ! [X0,X5] :
      ( cd(sK2(X5))
      | ~ rinvR(X0,X5)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f95,plain,
    ! [X0,X5] :
      ( rinvF(X5,sK2(X5))
      | ~ rinvR(X0,X5)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f96,plain,
    ! [X0] :
      ( cd(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f97,plain,
    ! [X0] :
      ( rinvF(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ cd(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ cc(sK3(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f102,plain,
    ! [X0] :
      ( rf(X0,sK3(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X1)
      | X1 = X2
      | ~ rf(X0,X2) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( rf(X1,X0)
      | ~ rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( rr(X1,X0)
      | ~ rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f110,plain,
    cUnsatisfiable(i2003_11_14_17_19_35232),
    inference(cnf_transformation,[],[f24]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ rf(X0,X1)
      | sK3(X0) = X1
      | ~ cd(X0) ),
    inference(resolution,[],[f104,f102]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ cd(X0)
      | sK3(X0) = X1
      | ~ rinvF(X1,X0) ),
    inference(resolution,[],[f133,f105]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rinvF(X1,sK1(X0))
      | sK3(sK1(X0)) = X1 ),
    inference(resolution,[],[f137,f96]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ cUnsatisfiable(X2)
      | ~ rinvF(X1,sK2(X0))
      | ~ rinvR(X2,X0)
      | sK3(sK2(X0)) = X1 ),
    inference(resolution,[],[f137,f94]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ rinvF(X0,sK1(i2003_11_14_17_19_35232))
      | sK3(sK1(i2003_11_14_17_19_35232)) = X0 ),
    inference(resolution,[],[f143,f110]) ).

fof(f161,definition,
    ( spl4_1
  <=> cd(sK1(i2003_11_14_17_19_35232)) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f162,plain,
    ( cd(sK1(i2003_11_14_17_19_35232))
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f163,plain,
    ( ~ cd(sK1(i2003_11_14_17_19_35232))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f165,definition,
    ( spl4_2
  <=> i2003_11_14_17_19_35232 = sK3(sK1(i2003_11_14_17_19_35232)) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f167,plain,
    ( i2003_11_14_17_19_35232 = sK3(sK1(i2003_11_14_17_19_35232))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ rinvR(i2003_11_14_17_19_35232,X1)
      | ~ rinvF(X0,sK2(X1))
      | sK3(sK2(X1)) = X0 ),
    inference(resolution,[],[f144,f110]) ).

fof(f171,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_35232)
    | spl4_1 ),
    inference(resolution,[],[f163,f96]) ).

fof(f174,definition,
    ( spl4_3
  <=> cc(sK1(i2003_11_14_17_19_35232)) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f175,plain,
    ( cc(sK1(i2003_11_14_17_19_35232))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f181,plain,
    ( $false
    | spl4_1 ),
    inference(forward_subsumption_resolution,[],[f171,f110]) ).

fof(f182,plain,
    spl4_1,
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f186,plain,
    ( cc(sK1(i2003_11_14_17_19_35232))
    | ~ spl4_1 ),
    inference(resolution,[],[f162,f100]) ).

fof(f187,plain,
    ( spl4_3
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f186,f161,f174]) ).

fof(f188,plain,
    ( i2003_11_14_17_19_35232 = sK3(sK1(i2003_11_14_17_19_35232))
    | ~ cUnsatisfiable(i2003_11_14_17_19_35232) ),
    inference(resolution,[],[f152,f97]) ).

fof(f190,plain,
    i2003_11_14_17_19_35232 = sK3(sK1(i2003_11_14_17_19_35232)),
    inference(forward_subsumption_resolution,[],[f188,f110]) ).

fof(f191,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f190,f165]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ rinvF(X0,sK2(X1))
      | sK3(sK2(X1)) = X0
      | ~ rr(X1,i2003_11_14_17_19_35232) ),
    inference(resolution,[],[f169,f108]) ).

fof(f198,plain,
    ( rf(sK1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)
    | ~ cd(sK1(i2003_11_14_17_19_35232))
    | ~ spl4_2 ),
    inference(superposition,[],[f102,f167]) ).

fof(f201,plain,
    ( rf(sK1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(forward_subsumption_resolution,[],[f198,f162]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X1)
      | ~ rr(X0,i2003_11_14_17_19_35232)
      | ~ rinvR(X1,X0)
      | sK3(sK2(X0)) = X0 ),
    inference(resolution,[],[f195,f95]) ).

fof(f323,plain,
    ! [X0] :
      ( ~ rr(X0,i2003_11_14_17_19_35232)
      | ~ rinvR(i2003_11_14_17_19_35232,X0)
      | sK3(sK2(X0)) = X0 ),
    inference(resolution,[],[f239,f110]) ).

fof(f325,plain,
    ! [X0] :
      ( ~ rinvR(i2003_11_14_17_19_35232,X0)
      | sK3(sK2(X0)) = X0 ),
    inference(forward_subsumption_resolution,[],[f323,f107]) ).

fof(f336,plain,
    ! [X0] :
      ( ~ rr(X0,i2003_11_14_17_19_35232)
      | sK3(sK2(X0)) = X0 ),
    inference(resolution,[],[f325,f108]) ).

fof(f342,plain,
    ! [X0] :
      ( ~ rf(X0,i2003_11_14_17_19_35232)
      | sK3(sK2(X0)) = X0 ),
    inference(resolution,[],[f336,f111]) ).

fof(f347,plain,
    ( sK1(i2003_11_14_17_19_35232) = sK3(sK2(sK1(i2003_11_14_17_19_35232)))
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(resolution,[],[f342,f201]) ).

fof(f353,plain,
    ( ~ cc(sK1(i2003_11_14_17_19_35232))
    | ~ cd(sK2(sK1(i2003_11_14_17_19_35232)))
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(superposition,[],[f101,f347]) ).

fof(f363,definition,
    ( spl4_9
  <=> cd(sK2(sK1(i2003_11_14_17_19_35232))) ),
    introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).

fof(f365,plain,
    ( ~ cd(sK2(sK1(i2003_11_14_17_19_35232)))
    | spl4_9 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f411,plain,
    ( ~ cd(sK2(sK1(i2003_11_14_17_19_35232)))
    | ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(forward_subsumption_resolution,[],[f353,f175]) ).

fof(f413,plain,
    ( ~ spl4_9
    | ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f411,f174,f165,f161,f363]) ).

fof(f427,plain,
    ( ! [X0] :
        ( ~ rinvR(X0,sK1(i2003_11_14_17_19_35232))
        | ~ cUnsatisfiable(X0) )
    | spl4_9 ),
    inference(resolution,[],[f365,f94]) ).

fof(f465,plain,
    ( ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | ~ rr(sK1(i2003_11_14_17_19_35232),X0) )
    | spl4_9 ),
    inference(resolution,[],[f427,f108]) ).

fof(f468,plain,
    ( ~ rr(sK1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)
    | spl4_9 ),
    inference(resolution,[],[f465,f110]) ).

fof(f474,plain,
    ( ~ rf(sK1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)
    | spl4_9 ),
    inference(resolution,[],[f468,f111]) ).

fof(f476,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_2
    | spl4_9 ),
    inference(forward_subsumption_resolution,[],[f474,f201]) ).

fof(f477,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | spl4_9 ),
    inference(avatar_contradiction_clause,[],[f476]) ).

cnf(s3,plain,
    spl4_1,
    inference(sat_conversion,[],[f182]) ).

cnf(s4,plain,
    ( ~ spl4_1
    | spl4_3 ),
    inference(sat_conversion,[],[f187]) ).

cnf(s5,plain,
    spl4_2,
    inference(sat_conversion,[],[f191]) ).

cnf(s16,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_9 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s21,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | spl4_9 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s22,plain,
    spl4_9,
    inference(rat,[],[s21,s5,s3]) ).

cnf(s23,plain,
    ~ spl4_3,
    inference(rat,[],[s16,s22,s5,s3]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s4,s23,s3]) ).

fof(f478,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS084+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n017.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 13:17:35 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.72/1.28  % (2548785)Detected formulas, will run a generic FOF schedule.
% 2.72/1.28  % (2548790)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=4027930389:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.28  % (2548791)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=773868097:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.28  % (2548793)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2747926705:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.28  % (2548792)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=564942482:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.28  % (2548794)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1006487092:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.28  % (2548794)Refutation not found, incomplete strategy
% 2.72/1.28  % (2548794)------------------------------
% 2.72/1.28  % (2548794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.28  % (2548794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.28  % (2548794)CaDiCaL version: 2.1.3
% 2.72/1.28  % (2548794)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.28  % (2548794)Time elapsed: 0.0000 s
% 2.72/1.28  % (2548794)Peak memory usage: 86 MB
% 2.72/1.28  % (2548793)Refutation not found, incomplete strategy
% 2.72/1.28  % (2548793)------------------------------
% 2.72/1.28  % (2548793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.28  % (2548793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.28  % (2548793)CaDiCaL version: 2.1.3
% 2.72/1.28  % (2548793)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.28  % (2548793)Time elapsed: 0.0000 s
% 2.72/1.28  % (2548793)Peak memory usage: 86 MB
% 2.72/1.28  % (2548795)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3256347596:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.28  % (2548796)dis-21_1_sil=8000:lcm=predicate:random_seed=1553167364: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)
% 2.72/1.28  % (2548795)First to succeed.
% 2.72/1.28  % (2548795)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2548785"
% 2.72/1.28  % (2548796)Instruction limit reached! 
% 2.72/1.28  % (2548796)------------------------------
% 2.72/1.28  % (2548796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.28  % (2548796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.28  % (2548796)CaDiCaL version: 2.1.3
% 2.72/1.28  % (2548796)Termination reason: Instruction limit
% 2.72/1.28  % (2548796)Termination phase: Saturation
% 2.72/1.28  % (2548796)Time elapsed: 0.063 s
% 2.72/1.28  % (2548796)Peak memory usage: 88 MB
% 2.72/1.28  % (2548796)Instructions burned: 130 (million)
% 2.72/1.28  % (2548804)lrs+10_1_sil=8000:sp=occurrence:random_seed=2524360321:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.72/1.28  % (2548804)Refutation not found, incomplete strategy
% 2.72/1.28  % (2548804)------------------------------
% 2.72/1.28  % (2548804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.28  % (2548804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.28  % (2548804)CaDiCaL version: 2.1.3
% 2.72/1.28  % (2548804)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.28  % (2548804)Time elapsed: 0.001 s
% 2.72/1.28  % (2548804)Peak memory usage: 86 MB
% 2.72/1.28  % (2548794)------------------------------
% 2.72/1.28  % (2548794)------------------------------
% 2.72/1.28  % (2548793)------------------------------
% 2.72/1.28  % (2548793)------------------------------
% 2.72/1.28  % (2548795)Refutation found. Thanks to Tanya!
% 2.72/1.28  % SZS status Unsatisfiable for theBenchmark
% 2.72/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.37  % (2548795)------------------------------
% 3.47/1.37  % (2548795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.37  % (2548795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.37  % (2548795)CaDiCaL version: 2.1.3
% 3.47/1.37  % (2548795)Termination reason: Refutation
% 3.47/1.37  % (2548795)Time elapsed: 0.018 s
% 3.47/1.37  % (2548795)Peak memory usage: 90 MB
% 3.47/1.37  % (2548795)Instructions burned: 20 (million)
% 3.47/1.37  % (2548795)------------------------------
% 3.47/1.37  % (2548795)------------------------------
% 3.47/1.37  % (2548785)Success in time 0.423 s
% 3.47/1.37  % Vampire exiting
%------------------------------------------------------------------------------