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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS113+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:41:41 AM UTC 2026

% Result   : Unsatisfiable 2.09s 1.31s
% Output   : Refutation 3.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   80 (   8 unt;   4 def)
%            Number of atoms       :  304 (  22 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  366 ( 142   ~; 132   |;  73   &)
%                                         (  15 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   4 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   :  136 (   0 sgn 106   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( ( rr(X0,X1)
              & rr(X0,X2) )
           => X1 = X2 )
        & ? [X3] :
            ( rr(X0,X3)
            & ca_Vx2(X3) )
        & ? [X3] :
            ( rs(X0,X3)
            & cp(X3) )
        & cpxcomp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f20,axiom,
    ! [X0] :
      ( cp(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f21,axiom,
    ! [X0] :
      ( cpxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f22,axiom,
    ! [X0] :
      ( ca_Vx2(X0)
    <=> ! [X1] :
          ( rinvS(X0,X1)
         => cp(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f24,axiom,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( rs(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f26,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( ( rr(X0,X1)
              & rr(X0,X2) )
           => X1 = X2 )
        & ? [X3] :
            ( rr(X0,X3)
            & ca_Vx2(X3) )
        & ? [X4] :
            ( rs(X0,X4)
            & cp(X4) )
        & cpxcomp(X0) ) ),
    inference(rectify,[],[f19]) ).

fof(f59,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( X1 = X2
            | ~ rr(X0,X1)
            | ~ rr(X0,X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & ca_Vx2(X3) )
        & ? [X4] :
            ( rs(X0,X4)
            & cp(X4) )
        & cpxcomp(X0) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f60,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( X1 = X2
            | ~ rr(X0,X1)
            | ~ rr(X0,X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & ca_Vx2(X3) )
        & ? [X4] :
            ( rs(X0,X4)
            & cp(X4) )
        & cpxcomp(X0) ) ),
    inference(flattening,[],[f59]) ).

fof(f61,plain,
    ! [X0] :
      ( cp(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f62,plain,
    ! [X0] :
      ( ca_Vx2(X0)
    <=> ! [X1] :
          ( cp(X1)
          | ~ rinvS(X0,X1) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rs(X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f64,definition,
    ! [X0] :
      ( sP0(X0)
    <=> ( ! [X1,X2] :
            ( X1 = X2
            | ~ rr(X0,X1)
            | ~ rr(X0,X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & ca_Vx2(X3) )
        & ? [X4] :
            ( rs(X0,X4)
            & cp(X4) )
        & cpxcomp(X0) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f65,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> sP0(X0) ),
    inference(definition_folding,[],[f60,f64]) ).

fof(f67,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X1)
            & rr(X0,X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ~ ca_Vx2(X3) )
        | ! [X4] :
            ( ~ rs(X0,X4)
            | ~ cp(X4) )
        | ~ cpxcomp(X0) )
      & ( ( ! [X1,X2] :
              ( X1 = X2
              | ~ rr(X0,X1)
              | ~ rr(X0,X2) )
          & ? [X3] :
              ( rr(X0,X3)
              & ca_Vx2(X3) )
          & ? [X4] :
              ( rs(X0,X4)
              & cp(X4) )
          & cpxcomp(X0) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f68,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X1)
            & rr(X0,X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ~ ca_Vx2(X3) )
        | ! [X4] :
            ( ~ rs(X0,X4)
            | ~ cp(X4) )
        | ~ cpxcomp(X0) )
      & ( ( ! [X1,X2] :
              ( X1 = X2
              | ~ rr(X0,X1)
              | ~ rr(X0,X2) )
          & ? [X3] :
              ( rr(X0,X3)
              & ca_Vx2(X3) )
          & ? [X4] :
              ( rs(X0,X4)
              & cp(X4) )
          & cpxcomp(X0) )
        | ~ sP0(X0) ) ),
    inference(flattening,[],[f67]) ).

fof(f69,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X1)
            & rr(X0,X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ~ ca_Vx2(X3) )
        | ! [X4] :
            ( ~ rs(X0,X4)
            | ~ cp(X4) )
        | ~ cpxcomp(X0) )
      & ( ( ! [X5,X6] :
              ( X5 = X6
              | ~ rr(X0,X5)
              | ~ rr(X0,X6) )
          & ? [X7] :
              ( rr(X0,X7)
              & ca_Vx2(X7) )
          & ? [X8] :
              ( rs(X0,X8)
              & cp(X8) )
          & cpxcomp(X0) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f68]) ).

fof(f70,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( sK1(X0) != sK2(X0)
          & rr(X0,sK1(X0))
          & rr(X0,sK2(X0)) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ~ ca_Vx2(X3) )
        | ! [X4] :
            ( ~ rs(X0,X4)
            | ~ cp(X4) )
        | ~ cpxcomp(X0) )
      & ( ( ! [X5,X6] :
              ( X5 = X6
              | ~ rr(X0,X5)
              | ~ rr(X0,X6) )
          & rr(X0,sK3(X0))
          & ca_Vx2(sK3(X0))
          & rs(X0,sK4(X0))
          & cp(sK4(X0))
          & cpxcomp(X0) )
        | ~ sP0(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X7,sK3(X0)),skolemize(X8,sK4(X0))],[f69]) ).

fof(f71,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ sP0(X0) )
      & ( sP0(X0)
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f72,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cp(X0) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f73,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(rectify,[],[f72]) ).

fof(f74,plain,
    ! [X0] :
      ( ( cp(X0)
        | ra_Px1(X0,sK5(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f73]) ).

fof(f75,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ cpxcomp(X0) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f76,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ cpxcomp(X0) ) ),
    inference(rectify,[],[f75]) ).

fof(f77,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK6(X0))
        | ~ cpxcomp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0))],[f76]) ).

fof(f78,plain,
    ! [X0] :
      ( ( ca_Vx2(X0)
        | ? [X1] :
            ( ~ cp(X1)
            & rinvS(X0,X1) ) )
      & ( ! [X1] :
            ( cp(X1)
            | ~ rinvS(X0,X1) )
        | ~ ca_Vx2(X0) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f79,plain,
    ! [X0] :
      ( ( ca_Vx2(X0)
        | ? [X1] :
            ( ~ cp(X1)
            & rinvS(X0,X1) ) )
      & ( ! [X2] :
            ( cp(X2)
            | ~ rinvS(X0,X2) )
        | ~ ca_Vx2(X0) ) ),
    inference(rectify,[],[f78]) ).

fof(f80,plain,
    ! [X0] :
      ( ( ca_Vx2(X0)
        | ( ~ cp(sK7(X0))
          & rinvS(X0,sK7(X0)) ) )
      & ( ! [X2] :
            ( cp(X2)
            | ~ rinvS(X0,X2) )
        | ~ ca_Vx2(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f79]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( rinvS(X0,X1)
        | ~ rs(X1,X0) )
      & ( rs(X1,X0)
        | ~ rinvS(X0,X1) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | cpxcomp(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f104,plain,
    ! [X0] :
      ( rs(X0,sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f105,plain,
    ! [X0] :
      ( ca_Vx2(sK3(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f106,plain,
    ! [X0] :
      ( rr(X0,sK3(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f107,plain,
    ! [X0,X6,X5] :
      ( ~ sP0(X0)
      | ~ rr(X0,X5)
      | ~ rr(X0,X6)
      | X5 = X6 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f111,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f113,plain,
    ! [X2,X0] :
      ( ~ ra_Px1(X0,X2)
      | ~ cp(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f115,plain,
    ! [X0] :
      ( ra_Px1(X0,sK6(X0))
      | ~ cpxcomp(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f117,plain,
    ! [X2,X0] :
      ( ~ ca_Vx2(X0)
      | ~ rinvS(X0,X2)
      | cp(X2) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f122,plain,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    inference(cnf_transformation,[],[f24]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ cp(X0)
      | ~ cpxcomp(X0) ),
    inference(resolution,[],[f115,f113]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ sP0(X0)
      | cp(X1)
      | ~ rinvS(sK3(X0),X1) ),
    inference(resolution,[],[f117,f105]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rr(X0,X2)
      | X1 = X2
      | ~ rr(X0,X1) ),
    inference(resolution,[],[f107,f111]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( cp(X0)
      | ~ rinvS(sK3(X1),X0)
      | ~ cUnsatisfiable(X1) ),
    inference(resolution,[],[f149,f111]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ rr(i2003_11_14_17_21_22376,X0)
      | X0 = X1
      | ~ rr(i2003_11_14_17_21_22376,X1) ),
    inference(resolution,[],[f152,f122]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rinvS(sK3(X0),X1)
      | ~ cpxcomp(X1) ),
    inference(resolution,[],[f158,f142]) ).

fof(f169,plain,
    ! [X0] :
      ( sK3(i2003_11_14_17_21_22376) = X0
      | ~ rr(i2003_11_14_17_21_22376,X0)
      | ~ sP0(i2003_11_14_17_21_22376) ),
    inference(resolution,[],[f160,f106]) ).

fof(f172,definition,
    ( spl8_1
  <=> sP0(i2003_11_14_17_21_22376) ),
    introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).

fof(f173,plain,
    ( sP0(i2003_11_14_17_21_22376)
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f174,plain,
    ( ~ sP0(i2003_11_14_17_21_22376)
    | spl8_1 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f176,definition,
    ( spl8_2
  <=> ! [X0] :
        ( sK3(i2003_11_14_17_21_22376) = X0
        | ~ rr(i2003_11_14_17_21_22376,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).

fof(f177,plain,
    ( ! [X0] :
        ( ~ rr(i2003_11_14_17_21_22376,X0)
        | sK3(i2003_11_14_17_21_22376) = X0 )
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f178,plain,
    ( ~ spl8_1
    | spl8_2 ),
    inference(avatar_split_clause,[],[f169,f176,f172]) ).

fof(f180,definition,
    ( spl8_3
  <=> cpxcomp(i2003_11_14_17_21_22376) ),
    introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).

fof(f181,plain,
    ( cpxcomp(i2003_11_14_17_21_22376)
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f197,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | spl8_1 ),
    inference(resolution,[],[f174,f111]) ).

fof(f198,plain,
    ( $false
    | spl8_1 ),
    inference(forward_subsumption_resolution,[],[f197,f122]) ).

fof(f199,plain,
    spl8_1,
    inference(avatar_contradiction_clause,[],[f198]) ).

fof(f204,plain,
    ( cpxcomp(i2003_11_14_17_21_22376)
    | ~ spl8_1 ),
    inference(resolution,[],[f173,f102]) ).

fof(f205,plain,
    ( spl8_3
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f204,f172,f180]) ).

fof(f206,plain,
    ( ! [X0] :
        ( ~ rs(i2003_11_14_17_21_22376,X0)
        | sK3(i2003_11_14_17_21_22376) = X0 )
    | ~ spl8_2 ),
    inference(resolution,[],[f177,f123]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ rinvS(sK3(i2003_11_14_17_21_22376),X0)
      | ~ cpxcomp(X0) ),
    inference(resolution,[],[f164,f122]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ rs(X0,sK3(i2003_11_14_17_21_22376))
      | ~ cpxcomp(X0) ),
    inference(resolution,[],[f213,f121]) ).

fof(f223,plain,
    ( sK4(i2003_11_14_17_21_22376) = sK3(i2003_11_14_17_21_22376)
    | ~ sP0(i2003_11_14_17_21_22376)
    | ~ spl8_2 ),
    inference(resolution,[],[f206,f104]) ).

fof(f225,plain,
    ( sK4(i2003_11_14_17_21_22376) = sK3(i2003_11_14_17_21_22376)
    | ~ spl8_1
    | ~ spl8_2 ),
    inference(forward_subsumption_resolution,[],[f223,f173]) ).

fof(f234,plain,
    ( rs(i2003_11_14_17_21_22376,sK3(i2003_11_14_17_21_22376))
    | ~ sP0(i2003_11_14_17_21_22376)
    | ~ spl8_1
    | ~ spl8_2 ),
    inference(superposition,[],[f104,f225]) ).

fof(f237,plain,
    ( rs(i2003_11_14_17_21_22376,sK3(i2003_11_14_17_21_22376))
    | ~ spl8_1
    | ~ spl8_2 ),
    inference(forward_subsumption_resolution,[],[f234,f173]) ).

fof(f260,plain,
    ( ~ cpxcomp(i2003_11_14_17_21_22376)
    | ~ spl8_1
    | ~ spl8_2 ),
    inference(resolution,[],[f237,f218]) ).

fof(f262,plain,
    ( $false
    | ~ spl8_1
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(forward_subsumption_resolution,[],[f260,f181]) ).

fof(f263,plain,
    ( ~ spl8_1
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(avatar_contradiction_clause,[],[f262]) ).

cnf(s1,plain,
    ( ~ spl8_1
    | spl8_2 ),
    inference(sat_conversion,[],[f178]) ).

cnf(s4,plain,
    spl8_1,
    inference(sat_conversion,[],[f199]) ).

cnf(s5,plain,
    ( ~ spl8_1
    | spl8_3 ),
    inference(sat_conversion,[],[f205]) ).

cnf(s6,plain,
    ( ~ spl8_1
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s7,plain,
    spl8_3,
    inference(rat,[],[s5,s4]) ).

cnf(s8,plain,
    ~ spl8_2,
    inference(rat,[],[s6,s4,s7]) ).

cnf(s9,plain,
    $false,
    inference(rat,[],[s1,s8,s4]) ).

fof(f264,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS113+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n016.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 13:29:32 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 2.09/1.30  % (2652565)Detected formulas, will run a generic FOF schedule.
% 2.09/1.30  % (2652570)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=3995583829:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.09/1.30  % (2652575)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1982578623:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.09/1.30  % (2652574)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3999190574:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.09/1.30  % (2652573)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=774095782:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.09/1.30  % (2652571)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=1683332024:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.09/1.30  % (2652572)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=4088756730:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.09/1.30  % (2652576)dis-21_1_sil=8000:lcm=predicate:random_seed=1137145871: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)
% 2.09/1.30  % (2652574)Refutation not found, incomplete strategy
% 2.09/1.30  % (2652574)------------------------------
% 2.09/1.30  % (2652574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/1.30  % (2652573)Refutation not found, incomplete strategy
% 2.09/1.30  % (2652573)------------------------------
% 2.09/1.30  % (2652573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/1.30  % (2652574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/1.30  % (2652573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/1.30  % (2652574)CaDiCaL version: 2.1.3
% 2.09/1.30  % (2652574)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.31  % (2652574)Time elapsed: 0.001 s
% 2.09/1.31  % (2652574)Peak memory usage: 86 MB
% 2.09/1.31  % (2652573)CaDiCaL version: 2.1.3
% 2.09/1.31  % (2652573)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.31  % (2652573)Time elapsed: 0.0000 s
% 2.09/1.31  % (2652573)Peak memory usage: 86 MB
% 2.09/1.31  % (2652575)First to succeed.
% 2.09/1.31  % (2652575)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2652565"
% 2.09/1.31  % (2652576)Instruction limit reached! 
% 2.09/1.31  % (2652576)------------------------------
% 2.09/1.31  % (2652576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/1.31  % (2652576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/1.31  % (2652576)CaDiCaL version: 2.1.3
% 2.09/1.31  % (2652576)Termination reason: Instruction limit
% 2.09/1.31  % (2652576)Termination phase: Saturation
% 2.09/1.31  % (2652576)Time elapsed: 0.063 s
% 2.09/1.31  % (2652576)Peak memory usage: 88 MB
% 2.09/1.31  % (2652576)Instructions burned: 131 (million)
% 2.09/1.31  % (2652584)lrs+10_1_sil=8000:sp=occurrence:random_seed=1099307973:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.09/1.31  % (2652584)Refutation not found, incomplete strategy
% 2.09/1.31  % (2652584)------------------------------
% 2.09/1.31  % (2652584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/1.31  % (2652584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/1.31  % (2652584)CaDiCaL version: 2.1.3
% 2.09/1.31  % (2652584)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.31  % (2652584)Time elapsed: 0.001 s
% 2.09/1.31  % (2652584)Peak memory usage: 86 MB
% 2.09/1.31  % (2652574)------------------------------
% 2.09/1.31  % (2652574)------------------------------
% 2.09/1.31  % (2652573)------------------------------
% 2.09/1.31  % (2652573)------------------------------
% 2.09/1.31  % (2652575)Refutation found. Thanks to Tanya!
% 2.09/1.31  % SZS status Unsatisfiable for theBenchmark
% 2.09/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.41  % (2652575)------------------------------
% 3.66/1.41  % (2652575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.41  % (2652575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.41  % (2652575)CaDiCaL version: 2.1.3
% 3.66/1.41  % (2652575)Termination reason: Refutation
% 3.66/1.41  % (2652575)Time elapsed: 0.007 s
% 3.66/1.41  % (2652575)Peak memory usage: 89 MB
% 3.66/1.41  % (2652575)Instructions burned: 7 (million)
% 3.66/1.41  % (2652575)------------------------------
% 3.66/1.41  % (2652575)------------------------------
% 3.66/1.41  % (2652565)Success in time 0.439 s
% 3.66/1.41  % Vampire exiting
%------------------------------------------------------------------------------