↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS118+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 : n019.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 2.68s 1.28s
% Output   : Refutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   87 (  17 unt;   1 def)
%            Number of atoms       :  276 (  14 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  311 ( 122   ~; 115   |;  59   &)
%                                         (  11 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  134 (   0 sgn 112   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rinvR(X0,X1)
           => ca_Vx3(X1) )
        & ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        & ccxcomp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f23,axiom,
    ! [X0] :
      ( cc(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f24,axiom,
    ! [X0] :
      ( ccxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f25,axiom,
    ! [X0] :
      ( cd(X0)
    <=> ( ? [X1] :
            ( rf(X0,X1)
            & ccxcomp(X1) )
        & cc(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f26,axiom,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( rinvF(X0,X1)
          & cd(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f27,axiom,
    ! [X0,X1,X2] :
      ( ( rf(X0,X1)
        & rf(X0,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f31,axiom,
    cUnsatisfiable(i2003_11_14_17_21_4056),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( rf(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f33,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rinvR(X0,X1)
           => ca_Vx3(X1) )
        & ? [X2] :
            ( rinvF(X0,X2)
            & cd(X2) )
        & ccxcomp(X0) ) ),
    inference(rectify,[],[f22]) ).

fof(f72,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( ca_Vx3(X1)
            | ~ rinvR(X0,X1) )
        & ? [X2] :
            ( rinvF(X0,X2)
            & cd(X2) )
        & ccxcomp(X0) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f73,plain,
    ! [X0] :
      ( cc(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X1)
      | ~ rf(X0,X2) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X1)
      | ~ rf(X0,X2) ),
    inference(flattening,[],[f74]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f80,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvR(X0,X1) )
        | ! [X2] :
            ( ~ rinvF(X0,X2)
            | ~ cd(X2) )
        | ~ ccxcomp(X0) )
      & ( ( ! [X1] :
              ( ca_Vx3(X1)
              | ~ rinvR(X0,X1) )
          & ? [X2] :
              ( rinvF(X0,X2)
              & cd(X2) )
          & ccxcomp(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f81,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvR(X0,X1) )
        | ! [X2] :
            ( ~ rinvF(X0,X2)
            | ~ cd(X2) )
        | ~ ccxcomp(X0) )
      & ( ( ! [X1] :
              ( ca_Vx3(X1)
              | ~ rinvR(X0,X1) )
          & ? [X2] :
              ( rinvF(X0,X2)
              & cd(X2) )
          & ccxcomp(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvR(X0,X1) )
        | ! [X2] :
            ( ~ rinvF(X0,X2)
            | ~ cd(X2) )
        | ~ ccxcomp(X0) )
      & ( ( ! [X3] :
              ( ca_Vx3(X3)
              | ~ rinvR(X0,X3) )
          & ? [X4] :
              ( rinvF(X0,X4)
              & cd(X4) )
          & ccxcomp(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f81]) ).

fof(f83,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ( ~ ca_Vx3(sK0(X0))
          & rinvR(X0,sK0(X0)) )
        | ! [X2] :
            ( ~ rinvF(X0,X2)
            | ~ cd(X2) )
        | ~ ccxcomp(X0) )
      & ( ( ! [X3] :
              ( ca_Vx3(X3)
              | ~ rinvR(X0,X3) )
          & rinvF(X0,sK1(X0))
          & cd(sK1(X0))
          & ccxcomp(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X4,sK1(X0))],[f82]) ).

fof(f84,plain,
    ! [X0] :
      ( ( cc(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cc(X0) ) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f85,plain,
    ! [X0] :
      ( ( cc(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cc(X0) ) ),
    inference(rectify,[],[f84]) ).

fof(f86,plain,
    ! [X0] :
      ( ( cc(X0)
        | ra_Px1(X0,sK2(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cc(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f85]) ).

fof(f87,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ ccxcomp(X0) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f88,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ ccxcomp(X0) ) ),
    inference(rectify,[],[f87]) ).

fof(f89,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK3(X0))
        | ~ ccxcomp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) )
        | ~ cc(X0) )
      & ( ( ? [X1] :
              ( rf(X0,X1)
              & ccxcomp(X1) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f91,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) )
        | ~ cc(X0) )
      & ( ( ? [X1] :
              ( rf(X0,X1)
              & ccxcomp(X1) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(flattening,[],[f90]) ).

fof(f92,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) )
        | ~ cc(X0) )
      & ( ( ? [X2] :
              ( rf(X0,X2)
              & ccxcomp(X2) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(rectify,[],[f91]) ).

fof(f93,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) )
        | ~ cc(X0) )
      & ( ( rf(X0,sK4(X0))
          & ccxcomp(sK4(X0))
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f92]) ).

fof(f94,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) ) )
      & ( ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        | ~ ca_Vx3(X0) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f95,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) ) )
      & ( ? [X2] :
            ( rinvF(X0,X2)
            & cd(X2) )
        | ~ ca_Vx3(X0) ) ),
    inference(rectify,[],[f94]) ).

fof(f96,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) ) )
      & ( ( rinvF(X0,sK5(X0))
          & cd(sK5(X0)) )
        | ~ ca_Vx3(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f95]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( rinvR(X0,X1)
        | ~ rr(X1,X0) )
      & ( rr(X1,X0)
        | ~ rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f123,plain,
    ! [X0] :
      ( cd(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f124,plain,
    ! [X0] :
      ( rinvF(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f125,plain,
    ! [X3,X0] :
      ( ca_Vx3(X3)
      | ~ rinvR(X0,X3)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f128,plain,
    ! [X2,X0] :
      ( ~ cc(X0)
      | ~ ra_Px1(X0,X2) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f130,plain,
    ! [X0] :
      ( ra_Px1(X0,sK3(X0))
      | ~ ccxcomp(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ cd(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f133,plain,
    ! [X0] :
      ( ccxcomp(sK4(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f134,plain,
    ! [X0] :
      ( rf(X0,sK4(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | cd(sK5(X0)) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f137,plain,
    ! [X0] :
      ( rinvF(X0,sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ~ cd(X1)
      | ~ rinvF(X0,X1)
      | ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X1)
      | X1 = X2
      | ~ rf(X0,X2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( rf(X1,X0)
      | ~ rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f145,plain,
    cUnsatisfiable(i2003_11_14_17_21_4056),
    inference(cnf_transformation,[],[f31]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rinvR(X0,X1)
      | cd(sK5(X1)) ),
    inference(resolution,[],[f125,f136]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X1)
      | ca_Vx3(X0)
      | ~ rinvF(X0,sK1(X1)) ),
    inference(resolution,[],[f138,f123]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ~ rf(X0,X1)
      | sK4(X0) = X1
      | ~ cd(X0) ),
    inference(resolution,[],[f139,f134]) ).

fof(f197,plain,
    ! [X0] :
      ( cd(sK5(X0))
      | ~ rinvR(i2003_11_14_17_21_4056,X0) ),
    inference(resolution,[],[f168,f145]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ rinvF(X0,sK1(i2003_11_14_17_21_4056))
      | ca_Vx3(X0) ),
    inference(resolution,[],[f170,f145]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ rinvF(X1,X0)
      | ~ cd(X0)
      | sK4(X0) = X1 ),
    inference(resolution,[],[f184,f140]) ).

fof(f206,plain,
    ( ca_Vx3(i2003_11_14_17_21_4056)
    | ~ cUnsatisfiable(i2003_11_14_17_21_4056) ),
    inference(resolution,[],[f200,f124]) ).

fof(f208,plain,
    ca_Vx3(i2003_11_14_17_21_4056),
    inference(forward_subsumption_resolution,[],[f206,f145]) ).

fof(f211,plain,
    cd(sK5(i2003_11_14_17_21_4056)),
    inference(resolution,[],[f208,f136]) ).

fof(f214,plain,
    cc(sK5(i2003_11_14_17_21_4056)),
    inference(resolution,[],[f211,f132]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ cd(sK5(X0))
      | sK4(sK5(X0)) = X0
      | ~ ca_Vx3(X0) ),
    inference(resolution,[],[f204,f137]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | sK4(sK5(X0)) = X0 ),
    inference(forward_subsumption_resolution,[],[f216,f136]) ).

fof(f221,plain,
    ! [X0] : ~ ra_Px1(sK5(i2003_11_14_17_21_4056),X0),
    inference(resolution,[],[f214,f128]) ).

fof(f223,plain,
    ~ ccxcomp(sK5(i2003_11_14_17_21_4056)),
    inference(resolution,[],[f221,f130]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X1)
      | ~ rinvR(X1,X0)
      | sK4(sK5(X0)) = X0 ),
    inference(resolution,[],[f218,f125]) ).

fof(f239,plain,
    i2003_11_14_17_21_4056 = sK4(sK5(i2003_11_14_17_21_4056)),
    inference(resolution,[],[f218,f208]) ).

fof(f243,plain,
    ( rf(sK5(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056)
    | ~ cd(sK5(i2003_11_14_17_21_4056)) ),
    inference(superposition,[],[f134,f239]) ).

fof(f246,plain,
    rf(sK5(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056),
    inference(forward_subsumption_resolution,[],[f243,f211]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ rinvR(i2003_11_14_17_21_4056,X0)
      | sK4(sK5(X0)) = X0 ),
    inference(resolution,[],[f238,f145]) ).

fof(f303,plain,
    ! [X0] :
      ( ~ rr(X0,i2003_11_14_17_21_4056)
      | sK4(sK5(X0)) = X0 ),
    inference(resolution,[],[f286,f143]) ).

fof(f318,plain,
    ! [X0] :
      ( ~ rf(X0,i2003_11_14_17_21_4056)
      | sK4(sK5(X0)) = X0 ),
    inference(resolution,[],[f303,f146]) ).

fof(f323,plain,
    sK5(i2003_11_14_17_21_4056) = sK4(sK5(sK5(i2003_11_14_17_21_4056))),
    inference(resolution,[],[f318,f246]) ).

fof(f331,plain,
    ( ccxcomp(sK5(i2003_11_14_17_21_4056))
    | ~ cd(sK5(sK5(i2003_11_14_17_21_4056))) ),
    inference(superposition,[],[f133,f323]) ).

fof(f332,plain,
    ~ cd(sK5(sK5(i2003_11_14_17_21_4056))),
    inference(forward_subsumption_resolution,[],[f331,f223]) ).

fof(f334,definition,
    ( spl6_3
  <=> cd(sK5(sK5(i2003_11_14_17_21_4056))) ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

fof(f336,plain,
    ( ~ cd(sK5(sK5(i2003_11_14_17_21_4056)))
    | spl6_3 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f342,plain,
    ~ spl6_3,
    inference(avatar_split_clause,[],[f332,f334]) ).

fof(f346,plain,
    ( ~ rinvR(i2003_11_14_17_21_4056,sK5(i2003_11_14_17_21_4056))
    | spl6_3 ),
    inference(resolution,[],[f336,f197]) ).

fof(f349,plain,
    ( ~ rr(sK5(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056)
    | spl6_3 ),
    inference(resolution,[],[f346,f143]) ).

fof(f353,plain,
    ( ~ rf(sK5(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056)
    | spl6_3 ),
    inference(resolution,[],[f349,f146]) ).

fof(f355,plain,
    ( $false
    | spl6_3 ),
    inference(forward_subsumption_resolution,[],[f353,f246]) ).

fof(f356,plain,
    spl6_3,
    inference(avatar_contradiction_clause,[],[f355]) ).

cnf(s5,plain,
    ~ spl6_3,
    inference(sat_conversion,[],[f342]) ).

cnf(s6,plain,
    spl6_3,
    inference(sat_conversion,[],[f356]) ).

cnf(s7,plain,
    $false,
    inference(rat,[],[s5,s6]) ).

fof(f357,plain,
    $false,
    inference(avatar_sat_refutation,[],[s7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS118+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39  % Computer : n019.cluster.edu
% 0.10/0.39  % Model    : x86_64 x86_64
% 0.10/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39  % Memory   : 8046.5625MB
% 0.10/0.39  % OS       : Linux 6.8.0-71-generic
% 0.10/0.39  % CPULimit : 300
% 0.10/0.39  % WCLimit  : 300
% 0.10/0.39  % DateTime : Sun Sep 27 13:25:19 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43  Running first-order theorem proving
% 0.10/0.43  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
% 2.68/1.28  % (3099008)Detected formulas, will run a generic FOF schedule.
% 2.68/1.28  % (3099015)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=1076850731:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.68/1.28  % (3099019)dis-21_1_sil=8000:lcm=predicate:random_seed=1136989929: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)
% 2.68/1.28  % (3099013)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=1489890213:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.68/1.28  % (3099017)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3804845934:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.68/1.28  % (3099014)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=1363915804:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.68/1.28  % (3099016)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3386275061:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.68/1.28  % (3099017)Refutation not found, incomplete strategy
% 2.68/1.28  % (3099017)------------------------------
% 2.68/1.28  % (3099017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28  % (3099017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28  % (3099017)CaDiCaL version: 2.1.3
% 2.68/1.28  % (3099017)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.28  % (3099017)Time elapsed: 0.0000 s
% 2.68/1.28  % (3099017)Peak memory usage: 86 MB
% 2.68/1.28  % (3099016)Refutation not found, incomplete strategy
% 2.68/1.28  % (3099016)------------------------------
% 2.68/1.28  % (3099016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28  % (3099016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28  % (3099016)CaDiCaL version: 2.1.3
% 2.68/1.28  % (3099016)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.28  % (3099016)Time elapsed: 0.0000 s
% 2.68/1.28  % (3099016)Peak memory usage: 86 MB
% 2.68/1.28  % (3099018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4283434622:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.68/1.28  % (3099018)First to succeed.
% 2.68/1.28  % (3099018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3099008"
% 2.68/1.28  % (3099019)Instruction limit reached! 
% 2.68/1.28  % (3099019)------------------------------
% 2.68/1.28  % (3099019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28  % (3099019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28  % (3099019)CaDiCaL version: 2.1.3
% 2.68/1.28  % (3099019)Termination reason: Instruction limit
% 2.68/1.28  % (3099019)Termination phase: Saturation
% 2.68/1.28  % (3099019)Time elapsed: 0.072 s
% 2.68/1.28  % (3099019)Peak memory usage: 88 MB
% 2.68/1.28  % (3099019)Instructions burned: 130 (million)
% 2.68/1.28  % (3099027)lrs+10_1_sil=8000:sp=occurrence:random_seed=3447283594:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.68/1.28  % (3099027)Refutation not found, incomplete strategy
% 2.68/1.28  % (3099027)------------------------------
% 2.68/1.28  % (3099027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28  % (3099027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28  % (3099027)CaDiCaL version: 2.1.3
% 2.68/1.28  % (3099027)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.28  % (3099027)Time elapsed: 0.0000 s
% 2.68/1.28  % (3099027)Peak memory usage: 86 MB
% 2.68/1.28  % (3099017)------------------------------
% 2.68/1.28  % (3099017)------------------------------
% 2.68/1.28  % (3099016)------------------------------
% 2.68/1.28  % (3099016)------------------------------
% 2.68/1.28  % (3099018)Refutation found. Thanks to Tanya!
% 2.68/1.28  % SZS status Unsatisfiable for theBenchmark
% 2.68/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.40  % (3099018)------------------------------
% 3.50/1.40  % (3099018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.40  % (3099018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.40  % (3099018)CaDiCaL version: 2.1.3
% 3.50/1.40  % (3099018)Termination reason: Refutation
% 3.50/1.40  % (3099018)Time elapsed: 0.010 s
% 3.50/1.40  % (3099018)Peak memory usage: 90 MB
% 3.50/1.40  % (3099018)Instructions burned: 11 (million)
% 3.50/1.40  % (3099018)------------------------------
% 3.50/1.40  % (3099018)------------------------------
% 3.50/1.40  % (3099008)Success in time 0.416 s
% 3.50/1.40  % Vampire exiting
%------------------------------------------------------------------------------