↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU374+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:48:36 PM UTC 2026

% Result   : Theorem 0.52s 0.99s
% Output   : Refutation 3.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   99 (  32 unt;  10 def)
%            Number of atoms       :  326 (  27 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  378 ( 151   ~; 142   |;  43   &)
%                                         (  12 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  11 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-4 aty)
%            Number of variables   :   99 (   0 sgn  85   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( net_str(X1,X0)
         => ! [X2] :
              ( net_str(X2,X0)
             => ( subnetstr(X2,X0,X1)
              <=> ( subrelstr(X2,X1)
                  & the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_6) ).

fof(f14,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( net_str(X1,X0)
         => rel_str(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( one_sorted_str(X0)
        & net_str(X1,X0) )
     => ! [X2] :
          ( subnetstr(X2,X0,X1)
         => net_str(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).

fof(f50,conjecture,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( net_str(X1,X0)
         => ! [X2] :
              ( subnetstr(X2,X0,X1)
             => ! [X3] :
                  ( element(X3,the_carrier(X1))
                 => ! [X4] :
                      ( element(X4,the_carrier(X1))
                     => ! [X5] :
                          ( element(X5,the_carrier(X2))
                         => ! [X6] :
                              ( element(X6,the_carrier(X2))
                             => ( ( X3 = X5
                                  & X4 = X6
                                  & related(X2,X5,X6) )
                               => related(X1,X3,X4) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_yellow_6) ).

fof(f51,negated_conjecture,
    ~ ! [X0] :
        ( one_sorted_str(X0)
       => ! [X1] :
            ( net_str(X1,X0)
           => ! [X2] :
                ( subnetstr(X2,X0,X1)
               => ! [X3] :
                    ( element(X3,the_carrier(X1))
                   => ! [X4] :
                        ( element(X4,the_carrier(X1))
                       => ! [X5] :
                            ( element(X5,the_carrier(X2))
                           => ! [X6] :
                                ( element(X6,the_carrier(X2))
                               => ( ( X3 = X5
                                    & X4 = X6
                                    & related(X2,X5,X6) )
                                 => related(X1,X3,X4) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f50]) ).

fof(f56,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( subrelstr(X1,X0)
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ! [X4] :
                      ( element(X4,the_carrier(X1))
                     => ! [X5] :
                          ( element(X5,the_carrier(X1))
                         => ( ( X4 = X2
                              & X5 = X3
                              & related(X1,X4,X5) )
                           => related(X0,X2,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_yellow_0) ).

fof(f71,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subnetstr(X2,X0,X1)
              <=> ( subrelstr(X2,X1)
                  & the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) ) )
              | ~ net_str(X2,X0) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1] :
          ( rel_str(X1)
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( net_str(X2,X0)
          | ~ subnetstr(X2,X0,X1) )
      | ~ one_sorted_str(X0)
      | ~ net_str(X1,X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( net_str(X2,X0)
          | ~ subnetstr(X2,X0,X1) )
      | ~ one_sorted_str(X0)
      | ~ net_str(X1,X0) ),
    inference(flattening,[],[f77]) ).

fof(f95,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ~ related(X1,X3,X4)
                              & X3 = X5
                              & X4 = X6
                              & related(X2,X5,X6)
                              & element(X6,the_carrier(X2)) )
                          & element(X5,the_carrier(X2)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X1)) )
              & subnetstr(X2,X0,X1) )
          & net_str(X1,X0) )
      & one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f96,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ~ related(X1,X3,X4)
                              & X3 = X5
                              & X4 = X6
                              & related(X2,X5,X6)
                              & element(X6,the_carrier(X2)) )
                          & element(X5,the_carrier(X2)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X1)) )
              & subnetstr(X2,X0,X1) )
          & net_str(X1,X0) )
      & one_sorted_str(X0) ),
    inference(flattening,[],[f95]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( related(X0,X2,X3)
                          | X2 != X4
                          | X3 != X5
                          | ~ related(X1,X4,X5)
                          | ~ element(X5,the_carrier(X1)) )
                      | ~ element(X4,the_carrier(X1)) )
                  | ~ element(X3,the_carrier(X0)) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ subrelstr(X1,X0) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f104,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( related(X0,X2,X3)
                          | X2 != X4
                          | X3 != X5
                          | ~ related(X1,X4,X5)
                          | ~ element(X5,the_carrier(X1)) )
                      | ~ element(X4,the_carrier(X1)) )
                  | ~ element(X3,the_carrier(X0)) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ subrelstr(X1,X0) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f103]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( subnetstr(X2,X0,X1)
                  | ~ subrelstr(X2,X1)
                  | the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
                & ( ( subrelstr(X2,X1)
                    & the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
                  | ~ subnetstr(X2,X0,X1) ) )
              | ~ net_str(X2,X0) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f109,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( subnetstr(X2,X0,X1)
                  | ~ subrelstr(X2,X1)
                  | the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
                & ( ( subrelstr(X2,X1)
                    & the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
                  | ~ subnetstr(X2,X0,X1) ) )
              | ~ net_str(X2,X0) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(flattening,[],[f108]) ).

fof(f129,plain,
    ( ~ related(sK19,sK21,sK22)
    & sK21 = sK23
    & sK22 = sK24
    & related(sK20,sK23,sK24)
    & element(sK24,the_carrier(sK20))
    & element(sK23,the_carrier(sK20))
    & element(sK22,the_carrier(sK19))
    & element(sK21,the_carrier(sK19))
    & subnetstr(sK20,sK18,sK19)
    & net_str(sK19,sK18)
    & one_sorted_str(sK18) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22,sK23,sK24]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20),skolemize(X3,sK21),skolemize(X4,sK22),skolemize(X5,sK23),skolemize(X6,sK24)],[f96]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( subrelstr(X2,X1)
      | ~ subnetstr(X2,X0,X1)
      | ~ net_str(X2,X0)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( rel_str(X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ subnetstr(X2,X0,X1)
      | net_str(X2,X0)
      | ~ one_sorted_str(X0)
      | ~ net_str(X1,X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f195,plain,
    one_sorted_str(sK18),
    inference(cnf_transformation,[],[f129]) ).

fof(f196,plain,
    net_str(sK19,sK18),
    inference(cnf_transformation,[],[f129]) ).

fof(f197,plain,
    subnetstr(sK20,sK18,sK19),
    inference(cnf_transformation,[],[f129]) ).

fof(f198,plain,
    element(sK21,the_carrier(sK19)),
    inference(cnf_transformation,[],[f129]) ).

fof(f199,plain,
    element(sK22,the_carrier(sK19)),
    inference(cnf_transformation,[],[f129]) ).

fof(f200,plain,
    element(sK23,the_carrier(sK20)),
    inference(cnf_transformation,[],[f129]) ).

fof(f201,plain,
    element(sK24,the_carrier(sK20)),
    inference(cnf_transformation,[],[f129]) ).

fof(f202,plain,
    related(sK20,sK23,sK24),
    inference(cnf_transformation,[],[f129]) ).

fof(f203,plain,
    sK22 = sK24,
    inference(cnf_transformation,[],[f129]) ).

fof(f204,plain,
    sK21 = sK23,
    inference(cnf_transformation,[],[f129]) ).

fof(f205,plain,
    ~ related(sK19,sK21,sK22),
    inference(cnf_transformation,[],[f129]) ).

fof(f210,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( related(X0,X2,X3)
      | X2 != X4
      | X3 != X5
      | ~ related(X1,X4,X5)
      | ~ element(X5,the_carrier(X1))
      | ~ element(X4,the_carrier(X1))
      | ~ element(X3,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f214,plain,
    ~ related(sK19,sK23,sK24),
    inference(definition_unfolding,[],[f205,f204,f203]) ).

fof(f215,plain,
    element(sK24,the_carrier(sK19)),
    inference(definition_unfolding,[],[f199,f203]) ).

fof(f216,plain,
    element(sK23,the_carrier(sK19)),
    inference(definition_unfolding,[],[f198,f204]) ).

fof(f217,plain,
    ! [X3,X0,X1,X4,X5] :
      ( related(X0,X4,X3)
      | X3 != X5
      | ~ related(X1,X4,X5)
      | ~ element(X5,the_carrier(X1))
      | ~ element(X4,the_carrier(X1))
      | ~ element(X3,the_carrier(X0))
      | ~ element(X4,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(equality_resolution,[],[f210]) ).

fof(f218,plain,
    ! [X0,X1,X4,X5] :
      ( related(X0,X4,X5)
      | ~ related(X1,X4,X5)
      | ~ element(X5,the_carrier(X1))
      | ~ element(X4,the_carrier(X1))
      | ~ element(X5,the_carrier(X0))
      | ~ element(X4,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(equality_resolution,[],[f217]) ).

fof(f275,plain,
    ( net_str(sK20,sK18)
    | ~ one_sorted_str(sK18)
    | ~ net_str(sK19,sK18) ),
    inference(resolution,[],[f144,f197]) ).

fof(f279,definition,
    ( spl26_1
  <=> net_str(sK19,sK18) ),
    introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).

fof(f280,plain,
    ( ~ net_str(sK19,sK18)
    | spl26_1 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f282,definition,
    ( spl26_2
  <=> one_sorted_str(sK18) ),
    introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).

fof(f283,plain,
    ( ~ one_sorted_str(sK18)
    | spl26_2 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f285,definition,
    ( spl26_3
  <=> net_str(sK20,sK18) ),
    introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).

fof(f287,plain,
    ( ~ spl26_1
    | ~ spl26_2
    | spl26_3 ),
    inference(avatar_split_clause,[],[f275,f285,f282,f279]) ).

fof(f288,plain,
    ( $false
    | spl26_1 ),
    inference(resolution,[],[f280,f196]) ).

fof(f289,plain,
    spl26_1,
    inference(avatar_contradiction_clause,[],[f288]) ).

fof(f290,plain,
    ( $false
    | spl26_2 ),
    inference(resolution,[],[f283,f195]) ).

fof(f292,plain,
    spl26_2,
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ related(X0,sK23,sK24)
      | ~ element(sK24,the_carrier(X0))
      | ~ element(sK23,the_carrier(X0))
      | ~ element(sK24,the_carrier(sK19))
      | ~ element(sK23,the_carrier(sK19))
      | ~ subrelstr(X0,sK19)
      | ~ rel_str(sK19) ),
    inference(resolution,[],[f218,f214]) ).

fof(f299,definition,
    ( spl26_4
  <=> rel_str(sK19) ),
    introduced(definition,[new_symbols(definition,[spl26_4])],[avatar_definition]) ).

fof(f300,plain,
    ( ~ rel_str(sK19)
    | spl26_4 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f302,definition,
    ( spl26_5
  <=> element(sK23,the_carrier(sK19)) ),
    introduced(definition,[new_symbols(definition,[spl26_5])],[avatar_definition]) ).

fof(f303,plain,
    ( ~ element(sK23,the_carrier(sK19))
    | spl26_5 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f305,definition,
    ( spl26_6
  <=> element(sK24,the_carrier(sK19)) ),
    introduced(definition,[new_symbols(definition,[spl26_6])],[avatar_definition]) ).

fof(f306,plain,
    ( ~ element(sK24,the_carrier(sK19))
    | spl26_6 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f308,definition,
    ( spl26_7
  <=> ! [X0] :
        ( ~ related(X0,sK23,sK24)
        | ~ subrelstr(X0,sK19)
        | ~ element(sK23,the_carrier(X0))
        | ~ element(sK24,the_carrier(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).

fof(f309,plain,
    ( ! [X0] :
        ( ~ related(X0,sK23,sK24)
        | ~ subrelstr(X0,sK19)
        | ~ element(sK23,the_carrier(X0))
        | ~ element(sK24,the_carrier(X0)) )
    | ~ spl26_7 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f310,plain,
    ( ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | spl26_7 ),
    inference(avatar_split_clause,[],[f297,f308,f305,f302,f299]) ).

fof(f311,plain,
    ( ! [X0] :
        ( ~ one_sorted_str(X0)
        | ~ net_str(sK19,X0) )
    | spl26_4 ),
    inference(resolution,[],[f300,f142]) ).

fof(f318,plain,
    ( ~ net_str(sK19,sK18)
    | spl26_4 ),
    inference(resolution,[],[f311,f195]) ).

fof(f319,plain,
    ( ~ spl26_1
    | spl26_4 ),
    inference(avatar_split_clause,[],[f318,f299,f279]) ).

fof(f320,plain,
    ( $false
    | spl26_5 ),
    inference(resolution,[],[f303,f216]) ).

fof(f321,plain,
    spl26_5,
    inference(avatar_contradiction_clause,[],[f320]) ).

fof(f322,plain,
    ( $false
    | spl26_6 ),
    inference(resolution,[],[f306,f215]) ).

fof(f323,plain,
    spl26_6,
    inference(avatar_contradiction_clause,[],[f322]) ).

fof(f324,plain,
    ( ~ subrelstr(sK20,sK19)
    | ~ element(sK23,the_carrier(sK20))
    | ~ element(sK24,the_carrier(sK20))
    | ~ spl26_7 ),
    inference(resolution,[],[f309,f202]) ).

fof(f328,definition,
    ( spl26_8
  <=> element(sK24,the_carrier(sK20)) ),
    introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).

fof(f329,plain,
    ( ~ element(sK24,the_carrier(sK20))
    | spl26_8 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f331,definition,
    ( spl26_9
  <=> element(sK23,the_carrier(sK20)) ),
    introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).

fof(f332,plain,
    ( ~ element(sK23,the_carrier(sK20))
    | spl26_9 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f334,definition,
    ( spl26_10
  <=> subrelstr(sK20,sK19) ),
    introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).

fof(f335,plain,
    ( ~ subrelstr(sK20,sK19)
    | spl26_10 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f336,plain,
    ( ~ spl26_8
    | ~ spl26_9
    | ~ spl26_10
    | ~ spl26_7 ),
    inference(avatar_split_clause,[],[f324,f308,f334,f331,f328]) ).

fof(f337,plain,
    ( $false
    | spl26_8 ),
    inference(resolution,[],[f329,f201]) ).

fof(f338,plain,
    spl26_8,
    inference(avatar_contradiction_clause,[],[f337]) ).

fof(f341,plain,
    ( $false
    | spl26_9 ),
    inference(resolution,[],[f332,f200]) ).

fof(f342,plain,
    spl26_9,
    inference(avatar_contradiction_clause,[],[f341]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ subnetstr(sK20,X0,sK19)
        | ~ net_str(sK20,X0)
        | ~ net_str(sK19,X0)
        | ~ one_sorted_str(X0) )
    | spl26_10 ),
    inference(resolution,[],[f335,f137]) ).

fof(f351,plain,
    ( ~ net_str(sK20,sK18)
    | ~ net_str(sK19,sK18)
    | ~ one_sorted_str(sK18)
    | spl26_10 ),
    inference(resolution,[],[f343,f197]) ).

fof(f353,plain,
    ( ~ spl26_2
    | ~ spl26_1
    | ~ spl26_3
    | spl26_10 ),
    inference(avatar_split_clause,[],[f351,f334,f285,f279,f282]) ).

cnf(s1,plain,
    ( ~ spl26_1
    | ~ spl26_2
    | spl26_3 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s2,plain,
    spl26_1,
    inference(sat_conversion,[],[f289]) ).

cnf(s3,plain,
    spl26_2,
    inference(sat_conversion,[],[f292]) ).

cnf(s4,plain,
    ( ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | spl26_7 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s5,plain,
    ( ~ spl26_1
    | spl26_4 ),
    inference(sat_conversion,[],[f319]) ).

cnf(s6,plain,
    spl26_5,
    inference(sat_conversion,[],[f321]) ).

cnf(s7,plain,
    spl26_6,
    inference(sat_conversion,[],[f323]) ).

cnf(s8,plain,
    ( ~ spl26_7
    | ~ spl26_8
    | ~ spl26_9
    | ~ spl26_10 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s9,plain,
    spl26_8,
    inference(sat_conversion,[],[f338]) ).

cnf(s10,plain,
    spl26_9,
    inference(sat_conversion,[],[f342]) ).

cnf(s12,plain,
    ( ~ spl26_1
    | ~ spl26_2
    | ~ spl26_3
    | spl26_10 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s13,plain,
    ( ~ spl26_7
    | ~ spl26_10 ),
    inference(rat,[],[s8,s10,s9]) ).

cnf(s14,plain,
    ( ~ spl26_4
    | spl26_7 ),
    inference(rat,[],[s4,s7,s6]) ).

cnf(s15,plain,
    spl26_4,
    inference(rat,[],[s5,s2]) ).

cnf(s16,plain,
    spl26_7,
    inference(rat,[],[s14,s15]) ).

cnf(s18,plain,
    ~ spl26_10,
    inference(rat,[],[s13,s16]) ).

cnf(s19,plain,
    ~ spl26_3,
    inference(rat,[],[s12,s2,s3,s18]) ).

cnf(s20,plain,
    $false,
    inference(rat,[],[s1,s19,s3,s2]) ).

fof(f354,plain,
    $false,
    inference(avatar_sat_refutation,[],[s20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU374+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 05:02:01 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.52/0.99  % (2267082)Detected formulas, will run a generic FOF schedule.
% 0.52/0.99  % (2267092)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=312067407:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.52/0.99  % (2267090)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3415675746:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.52/0.99  % (2267093)dis-21_1_sil=8000:lcm=predicate:random_seed=463966691: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)
% 0.52/0.99  % (2267091)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=995317860:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.52/0.99  % (2267087)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=2260879733:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.52/0.99  % (2267088)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=724589652:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.52/0.99  % (2267089)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=3361655713:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.52/0.99  % (2267090)Refutation not found, incomplete strategy
% 0.52/0.99  % (2267090)------------------------------
% 0.52/0.99  % (2267090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.52/0.99  % (2267090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.99  % (2267090)CaDiCaL version: 2.1.3
% 0.52/0.99  % (2267090)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.99  % (2267090)Time elapsed: 0.001 s
% 0.52/0.99  % (2267090)Peak memory usage: 88 MB
% 0.52/0.99  % (2267093)First to succeed.
% 0.52/0.99  % (2267093)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2267082"
% 0.52/0.99  % (2267092)Also succeeded, but the first one will report.
% 0.52/0.99  % (2267091)Instruction limit reached! 
% 0.52/0.99  % (2267091)------------------------------
% 0.52/0.99  % (2267091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.52/0.99  % (2267091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.99  % (2267091)CaDiCaL version: 2.1.3
% 0.52/0.99  % (2267091)Termination reason: Instruction limit
% 0.52/0.99  % (2267091)Termination phase: Saturation
% 0.52/0.99  % (2267091)Time elapsed: 0.044 s
% 0.52/0.99  % (2267091)Peak memory usage: 87 MB
% 0.52/0.99  % (2267091)Instructions burned: 121 (million)
% 0.52/0.99  % (2267101)lrs+10_1_sil=8000:sp=occurrence:random_seed=1053076265:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.52/0.99  % (2267101)Also succeeded, but the first one will report.
% 0.52/0.99  % (2267090)------------------------------
% 0.52/0.99  % (2267090)------------------------------
% 0.52/0.99  % (2267093)Refutation found. Thanks to Tanya!
% 0.52/0.99  % SZS status Theorem for theBenchmark
% 0.52/0.99  % SZS output start Proof for theBenchmark
% See solution above
% 3.02/1.09  % (2267093)------------------------------
% 3.02/1.09  % (2267093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.09  % (2267093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.09  % (2267093)CaDiCaL version: 2.1.3
% 3.02/1.09  % (2267093)Termination reason: Refutation
% 3.02/1.09  % (2267093)Time elapsed: 0.007 s
% 3.02/1.09  % (2267093)Peak memory usage: 89 MB
% 3.02/1.09  % (2267093)Instructions burned: 8 (million)
% 3.02/1.09  % (2267093)------------------------------
% 3.02/1.09  % (2267093)------------------------------
% 3.02/1.09  % (2267082)Success in time 0.388 s
% 3.02/1.09  % Vampire exiting
%------------------------------------------------------------------------------