TSTP Solution File: SEU374+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU374+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 17:06:41 EDT 2023

% Result   : Theorem 20.47s 3.53s
% Output   : CNFRefutation 20.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   64 (  24 unt;   0 def)
%            Number of atoms       :  356 (  58 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  425 ( 133   ~; 112   |; 141   &)
%                                         (   2 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-4 aty)
%            Number of variables   :  163 (   0 sgn;  80   !;  63   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f179,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( net_str(X1,X0)
         => ! [X2] :
              ( net_str(X2,X0)
             => ( subnetstr(X2,X0,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) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_6) ).

fof(f269,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(f276,axiom,
    ! [X0,X1] :
      ( ( net_str(X1,X0)
        & one_sorted_str(X0) )
     => ! [X2] :
          ( subnetstr(X2,X0,X1)
         => net_str(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).

fof(f605,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))
                             => ( ( related(X2,X5,X6)
                                  & X4 = X6
                                  & X3 = X5 )
                               => related(X1,X3,X4) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_yellow_6) ).

fof(f606,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))
                               => ( ( related(X2,X5,X6)
                                    & X4 = X6
                                    & X3 = X5 )
                                 => related(X1,X3,X4) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f605]) ).

fof(f724,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))
                         => ( ( related(X1,X4,X5)
                              & X3 = X5
                              & X2 = X4 )
                           => related(X0,X2,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_yellow_0) ).

fof(f1063,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subnetstr(X2,X0,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) ) )
              | ~ net_str(X2,X0) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f179]) ).

fof(f1150,plain,
    ! [X0] :
      ( ! [X1] :
          ( rel_str(X1)
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f269]) ).

fof(f1156,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( net_str(X2,X0)
          | ~ subnetstr(X2,X0,X1) )
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f276]) ).

fof(f1157,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( net_str(X2,X0)
          | ~ subnetstr(X2,X0,X1) )
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(flattening,[],[f1156]) ).

fof(f1529,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ~ related(X1,X3,X4)
                              & related(X2,X5,X6)
                              & X4 = X6
                              & X3 = X5
                              & 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,[],[f606]) ).

fof(f1530,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ~ related(X1,X3,X4)
                              & related(X2,X5,X6)
                              & X4 = X6
                              & X3 = X5
                              & 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,[],[f1529]) ).

fof(f1690,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( related(X0,X2,X3)
                          | ~ related(X1,X4,X5)
                          | X3 != X5
                          | X2 != X4
                          | ~ 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,[],[f724]) ).

fof(f1691,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( related(X0,X2,X3)
                          | ~ related(X1,X4,X5)
                          | X3 != X5
                          | X2 != X4
                          | ~ 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,[],[f1690]) ).

fof(f2222,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( subnetstr(X2,X0,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))
                    & subrelstr(X2,X1) )
                  | ~ subnetstr(X2,X0,X1) ) )
              | ~ net_str(X2,X0) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(nnf_transformation,[],[f1063]) ).

fof(f2223,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( subnetstr(X2,X0,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))
                    & subrelstr(X2,X1) )
                  | ~ subnetstr(X2,X0,X1) ) )
              | ~ net_str(X2,X0) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(flattening,[],[f2222]) ).

fof(f2901,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ~ related(X1,X3,X4)
                                & related(X2,X5,X6)
                                & X4 = X6
                                & X3 = X5
                                & 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) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ~ related(X1,X3,X4)
                              & related(X2,X5,X6)
                              & X4 = X6
                              & X3 = X5
                              & element(X6,the_carrier(X2)) )
                          & element(X5,the_carrier(X2)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X1)) )
              & subnetstr(X2,sK543,X1) )
          & net_str(X1,sK543) )
      & one_sorted_str(sK543) ) ),
    introduced(choice_axiom,[]) ).

fof(f2902,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( ~ related(X1,X3,X4)
                            & related(X2,X5,X6)
                            & X4 = X6
                            & X3 = X5
                            & element(X6,the_carrier(X2)) )
                        & element(X5,the_carrier(X2)) )
                    & element(X4,the_carrier(X1)) )
                & element(X3,the_carrier(X1)) )
            & subnetstr(X2,sK543,X1) )
        & net_str(X1,sK543) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( ~ related(sK544,X3,X4)
                          & related(X2,X5,X6)
                          & X4 = X6
                          & X3 = X5
                          & element(X6,the_carrier(X2)) )
                      & element(X5,the_carrier(X2)) )
                  & element(X4,the_carrier(sK544)) )
              & element(X3,the_carrier(sK544)) )
          & subnetstr(X2,sK543,sK544) )
      & net_str(sK544,sK543) ) ),
    introduced(choice_axiom,[]) ).

fof(f2903,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( ~ related(sK544,X3,X4)
                        & related(X2,X5,X6)
                        & X4 = X6
                        & X3 = X5
                        & element(X6,the_carrier(X2)) )
                    & element(X5,the_carrier(X2)) )
                & element(X4,the_carrier(sK544)) )
            & element(X3,the_carrier(sK544)) )
        & subnetstr(X2,sK543,sK544) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( ~ related(sK544,X3,X4)
                      & related(sK545,X5,X6)
                      & X4 = X6
                      & X3 = X5
                      & element(X6,the_carrier(sK545)) )
                  & element(X5,the_carrier(sK545)) )
              & element(X4,the_carrier(sK544)) )
          & element(X3,the_carrier(sK544)) )
      & subnetstr(sK545,sK543,sK544) ) ),
    introduced(choice_axiom,[]) ).

fof(f2904,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ~ related(sK544,X3,X4)
                    & related(sK545,X5,X6)
                    & X4 = X6
                    & X3 = X5
                    & element(X6,the_carrier(sK545)) )
                & element(X5,the_carrier(sK545)) )
            & element(X4,the_carrier(sK544)) )
        & element(X3,the_carrier(sK544)) )
   => ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( ~ related(sK544,sK546,X4)
                  & related(sK545,X5,X6)
                  & X4 = X6
                  & sK546 = X5
                  & element(X6,the_carrier(sK545)) )
              & element(X5,the_carrier(sK545)) )
          & element(X4,the_carrier(sK544)) )
      & element(sK546,the_carrier(sK544)) ) ),
    introduced(choice_axiom,[]) ).

fof(f2905,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( ~ related(sK544,sK546,X4)
                & related(sK545,X5,X6)
                & X4 = X6
                & sK546 = X5
                & element(X6,the_carrier(sK545)) )
            & element(X5,the_carrier(sK545)) )
        & element(X4,the_carrier(sK544)) )
   => ( ? [X5] :
          ( ? [X6] :
              ( ~ related(sK544,sK546,sK547)
              & related(sK545,X5,X6)
              & sK547 = X6
              & sK546 = X5
              & element(X6,the_carrier(sK545)) )
          & element(X5,the_carrier(sK545)) )
      & element(sK547,the_carrier(sK544)) ) ),
    introduced(choice_axiom,[]) ).

fof(f2906,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ~ related(sK544,sK546,sK547)
            & related(sK545,X5,X6)
            & sK547 = X6
            & sK546 = X5
            & element(X6,the_carrier(sK545)) )
        & element(X5,the_carrier(sK545)) )
   => ( ? [X6] :
          ( ~ related(sK544,sK546,sK547)
          & related(sK545,sK548,X6)
          & sK547 = X6
          & sK546 = sK548
          & element(X6,the_carrier(sK545)) )
      & element(sK548,the_carrier(sK545)) ) ),
    introduced(choice_axiom,[]) ).

fof(f2907,plain,
    ( ? [X6] :
        ( ~ related(sK544,sK546,sK547)
        & related(sK545,sK548,X6)
        & sK547 = X6
        & sK546 = sK548
        & element(X6,the_carrier(sK545)) )
   => ( ~ related(sK544,sK546,sK547)
      & related(sK545,sK548,sK549)
      & sK547 = sK549
      & sK546 = sK548
      & element(sK549,the_carrier(sK545)) ) ),
    introduced(choice_axiom,[]) ).

fof(f2908,plain,
    ( ~ related(sK544,sK546,sK547)
    & related(sK545,sK548,sK549)
    & sK547 = sK549
    & sK546 = sK548
    & element(sK549,the_carrier(sK545))
    & element(sK548,the_carrier(sK545))
    & element(sK547,the_carrier(sK544))
    & element(sK546,the_carrier(sK544))
    & subnetstr(sK545,sK543,sK544)
    & net_str(sK544,sK543)
    & one_sorted_str(sK543) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK543,sK544,sK545,sK546,sK547,sK548,sK549])],[f1530,f2907,f2906,f2905,f2904,f2903,f2902,f2901]) ).

fof(f3652,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,[],[f2223]) ).

fof(f3750,plain,
    ! [X0,X1] :
      ( rel_str(X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f1150]) ).

fof(f3756,plain,
    ! [X2,X0,X1] :
      ( net_str(X2,X0)
      | ~ subnetstr(X2,X0,X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f1157]) ).

fof(f5033,plain,
    one_sorted_str(sK543),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5034,plain,
    net_str(sK544,sK543),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5035,plain,
    subnetstr(sK545,sK543,sK544),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5036,plain,
    element(sK546,the_carrier(sK544)),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5037,plain,
    element(sK547,the_carrier(sK544)),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5038,plain,
    element(sK548,the_carrier(sK545)),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5039,plain,
    element(sK549,the_carrier(sK545)),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5040,plain,
    sK546 = sK548,
    inference(cnf_transformation,[],[f2908]) ).

fof(f5041,plain,
    sK547 = sK549,
    inference(cnf_transformation,[],[f2908]) ).

fof(f5042,plain,
    related(sK545,sK548,sK549),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5043,plain,
    ~ related(sK544,sK546,sK547),
    inference(cnf_transformation,[],[f2908]) ).

fof(f5265,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( related(X0,X2,X3)
      | ~ related(X1,X4,X5)
      | X3 != X5
      | X2 != X4
      | ~ 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,[],[f1691]) ).

fof(f6003,plain,
    ~ related(sK544,sK548,sK549),
    inference(definition_unfolding,[],[f5043,f5040,f5041]) ).

fof(f6004,plain,
    element(sK549,the_carrier(sK544)),
    inference(definition_unfolding,[],[f5037,f5041]) ).

fof(f6005,plain,
    element(sK548,the_carrier(sK544)),
    inference(definition_unfolding,[],[f5036,f5040]) ).

fof(f6379,plain,
    ! [X2,X0,X1,X4,X5] :
      ( related(X0,X2,X5)
      | ~ related(X1,X4,X5)
      | X2 != X4
      | ~ element(X5,the_carrier(X1))
      | ~ element(X4,the_carrier(X1))
      | ~ element(X5,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(equality_resolution,[],[f5265]) ).

fof(f6380,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,[],[f6379]) ).

cnf(c_651,plain,
    ( ~ subnetstr(X0,X1,X2)
    | ~ net_str(X0,X1)
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1)
    | subrelstr(X0,X2) ),
    inference(cnf_transformation,[],[f3652]) ).

cnf(c_747,plain,
    ( ~ net_str(X0,X1)
    | ~ one_sorted_str(X1)
    | rel_str(X0) ),
    inference(cnf_transformation,[],[f3750]) ).

cnf(c_753,plain,
    ( ~ subnetstr(X0,X1,X2)
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1)
    | net_str(X0,X1) ),
    inference(cnf_transformation,[],[f3756]) ).

cnf(c_2026,negated_conjecture,
    ~ related(sK544,sK548,sK549),
    inference(cnf_transformation,[],[f6003]) ).

cnf(c_2027,negated_conjecture,
    related(sK545,sK548,sK549),
    inference(cnf_transformation,[],[f5042]) ).

cnf(c_2028,negated_conjecture,
    element(sK549,the_carrier(sK545)),
    inference(cnf_transformation,[],[f5039]) ).

cnf(c_2029,negated_conjecture,
    element(sK548,the_carrier(sK545)),
    inference(cnf_transformation,[],[f5038]) ).

cnf(c_2030,negated_conjecture,
    element(sK549,the_carrier(sK544)),
    inference(cnf_transformation,[],[f6004]) ).

cnf(c_2031,negated_conjecture,
    element(sK548,the_carrier(sK544)),
    inference(cnf_transformation,[],[f6005]) ).

cnf(c_2032,negated_conjecture,
    subnetstr(sK545,sK543,sK544),
    inference(cnf_transformation,[],[f5035]) ).

cnf(c_2033,negated_conjecture,
    net_str(sK544,sK543),
    inference(cnf_transformation,[],[f5034]) ).

cnf(c_2034,negated_conjecture,
    one_sorted_str(sK543),
    inference(cnf_transformation,[],[f5033]) ).

cnf(c_2252,plain,
    ( ~ related(X0,X1,X2)
    | ~ element(X1,the_carrier(X0))
    | ~ element(X1,the_carrier(X3))
    | ~ element(X2,the_carrier(X0))
    | ~ element(X2,the_carrier(X3))
    | ~ subrelstr(X0,X3)
    | ~ rel_str(X3)
    | related(X3,X1,X2) ),
    inference(cnf_transformation,[],[f6380]) ).

cnf(c_3944,plain,
    ( ~ subnetstr(X0,X1,X2)
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1)
    | subrelstr(X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_651,c_753,c_651]) ).

cnf(c_38932,plain,
    ( X0 != sK545
    | X1 != sK543
    | X2 != sK544
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1)
    | subrelstr(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_3944,c_2032]) ).

cnf(c_38933,plain,
    ( ~ net_str(sK544,sK543)
    | ~ one_sorted_str(sK543)
    | subrelstr(sK545,sK544) ),
    inference(unflattening,[status(thm)],[c_38932]) ).

cnf(c_60810,plain,
    ( ~ one_sorted_str(sK543)
    | rel_str(sK544) ),
    inference(superposition,[status(thm)],[c_2033,c_747]) ).

cnf(c_61393,plain,
    ( ~ element(X0,the_carrier(X1))
    | ~ element(X0,the_carrier(sK545))
    | ~ element(sK549,the_carrier(X1))
    | ~ related(sK545,X0,sK549)
    | ~ subrelstr(sK545,X1)
    | ~ rel_str(X1)
    | related(X1,X0,sK549) ),
    inference(superposition,[status(thm)],[c_2028,c_2252]) ).

cnf(c_61816,plain,
    ( ~ element(sK548,the_carrier(sK545))
    | ~ element(sK549,the_carrier(sK544))
    | ~ related(sK545,sK548,sK549)
    | ~ subrelstr(sK545,sK544)
    | ~ rel_str(sK544)
    | related(sK544,sK548,sK549) ),
    inference(superposition,[status(thm)],[c_2031,c_61393]) ).

cnf(c_61817,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_61816,c_60810,c_38933,c_2026,c_2027,c_2029,c_2030,c_2033,c_2034]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU374+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09  % Command  : run_iprover %s %d THM
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Wed Aug 23 16:02:56 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.47/3.53  % SZS status Started for theBenchmark.p
% 20.47/3.53  % SZS status Theorem for theBenchmark.p
% 20.47/3.53  
% 20.47/3.53  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.47/3.53  
% 20.47/3.53  ------  iProver source info
% 20.47/3.53  
% 20.47/3.53  git: date: 2023-05-31 18:12:56 +0000
% 20.47/3.53  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.47/3.53  git: non_committed_changes: false
% 20.47/3.53  git: last_make_outside_of_git: false
% 20.47/3.53  
% 20.47/3.53  ------ Parsing...
% 20.47/3.53  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 20.47/3.53  
% 20.47/3.53  ------ Preprocessing... sup_sim: 129  sf_s  rm: 97 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e 
% 20.47/3.53  
% 20.47/3.53  ------ Preprocessing... gs_s  sp: 18 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 20.47/3.53  
% 20.47/3.53  ------ Preprocessing... sf_s  rm: 5 0s  sf_e 
% 20.47/3.53  ------ Proving...
% 20.47/3.53  ------ Problem Properties 
% 20.47/3.53  
% 20.47/3.53  
% 20.47/3.53  clauses                                 1882
% 20.47/3.53  conjectures                             8
% 20.47/3.53  EPR                                     314
% 20.47/3.53  Horn                                    1286
% 20.47/3.53  unary                                   296
% 20.47/3.53  binary                                  435
% 20.47/3.53  lits                                    6289
% 20.47/3.53  lits eq                                 701
% 20.47/3.53  fd_pure                                 0
% 20.47/3.53  fd_pseudo                               0
% 20.47/3.53  fd_cond                                 51
% 20.47/3.53  fd_pseudo_cond                          153
% 20.47/3.53  AC symbols                              0
% 20.47/3.53  
% 20.47/3.53  ------ Input Options Time Limit: Unbounded
% 20.47/3.53  
% 20.47/3.53  
% 20.47/3.53  ------ 
% 20.47/3.53  Current options:
% 20.47/3.53  ------ 
% 20.47/3.53  
% 20.47/3.53  
% 20.47/3.53  
% 20.47/3.53  
% 20.47/3.53  ------ Proving...
% 20.47/3.53  
% 20.47/3.53  
% 20.47/3.53  ------ Proving...
% 20.47/3.53  
% 20.47/3.53  
% 20.47/3.53  % SZS status Theorem for theBenchmark.p
% 20.47/3.53  
% 20.47/3.53  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.47/3.53  
% 20.47/3.53  
%------------------------------------------------------------------------------