TSTP Solution File: SWB081+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWB081+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n010.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 : Tue Sep 20 08:32:13 EDT 2022

% Result   : Theorem 1.07s 0.93s
% Output   : Proof 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   85
% Syntax   : Number of formulae    :  184 (  41 unt;  14 typ;   0 def)
%            Number of atoms       : 1548 (   0 equ)
%            Maximal formula atoms :   32 (   9 avg)
%            Number of connectives : 2617 (1315   ~;1009   |; 144   &)
%                                         ( 114 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :   76 (  76 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (   5   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-3 aty)
%            Number of variables   :  521 ( 478   !;   0   ?; 521   :)

% Comments : 
%------------------------------------------------------------------------------
tff(icext_type,type,
    icext: ( $i * $i ) > $o ).

tff(tptp_fun_Y_11_type,type,
    tptp_fun_Y_11: ( $i * $i * $i ) > $i ).

tff(uri_ex_p_type,type,
    uri_ex_p: $i ).

tff(uri_ex_c2_type,type,
    uri_ex_c2: $i ).

tff(tptp_fun_X_61_type,type,
    tptp_fun_X_61: ( $i * $i ) > $i ).

tff(uri_ex_x1_type,type,
    uri_ex_x1: $i ).

tff(uri_ex_x2_type,type,
    uri_ex_x2: $i ).

tff(uri_ex_c1_type,type,
    uri_ex_c1: $i ).

tff(iext_type,type,
    iext: ( $i * $i * $i ) > $o ).

tff(uri_owl_onProperty_type,type,
    uri_owl_onProperty: $i ).

tff(uri_owl_allValuesFrom_type,type,
    uri_owl_allValuesFrom: $i ).

tff(uri_rdfs_subClassOf_type,type,
    uri_rdfs_subClassOf: $i ).

tff(ic_type,type,
    ic: $i > $o ).

tff(uri_owl_Restriction_type,type,
    uri_owl_Restriction: $i ).

tff(1,plain,
    ( iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
  <=> iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    ( iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    & iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
    & iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_allvalues_cmp_class) ).

tff(3,plain,
    ( iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    & iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p) ),
    inference(and_elim,[status(thm)],[2]) ).

tff(4,plain,
    iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p),
    inference(and_elim,[status(thm)],[3]) ).

tff(5,plain,
    iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p),
    inference(modus_ponens,[status(thm)],[4,1]) ).

tff(6,plain,
    ( iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
  <=> iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1) ),
    inference(rewrite,[status(thm)],]) ).

tff(7,plain,
    ( iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    & iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1) ),
    inference(and_elim,[status(thm)],[3]) ).

tff(8,plain,
    iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1),
    inference(and_elim,[status(thm)],[7]) ).

tff(9,plain,
    iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1),
    inference(modus_ponens,[status(thm)],[8,6]) ).

tff(10,plain,
    ^ [Z: $i,P: $i,C: $i] :
      refl(
        ( ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
      <=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(11,plain,
    ( ! [Z: $i,P: $i,C: $i] :
        ( ~ iext(uri_owl_allValuesFrom,Z,C)
        | ~ iext(uri_owl_onProperty,Z,P)
        | ! [X: $i] :
            ~ ( ~ ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
              | ~ ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
  <=> ! [Z: $i,P: $i,C: $i] :
        ( ~ iext(uri_owl_allValuesFrom,Z,C)
        | ~ iext(uri_owl_onProperty,Z,P)
        | ! [X: $i] :
            ~ ( ~ ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
              | ~ ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) ),
    inference(quant_intro,[status(thm)],[10]) ).

tff(12,plain,
    ^ [Z: $i,P: $i,C: $i] :
      rewrite(
        ( ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
      <=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(13,plain,
    ( ! [Z: $i,P: $i,C: $i] :
        ( ~ iext(uri_owl_allValuesFrom,Z,C)
        | ~ iext(uri_owl_onProperty,Z,P)
        | ! [X: $i] :
            ~ ( ~ ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
              | ~ ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
  <=> ! [Z: $i,P: $i,C: $i] :
        ( ~ iext(uri_owl_allValuesFrom,Z,C)
        | ~ iext(uri_owl_onProperty,Z,P)
        | ! [X: $i] :
            ~ ( ~ ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
              | ~ ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) ),
    inference(quant_intro,[status(thm)],[12]) ).

tff(14,plain,
    ( ! [Z: $i,P: $i,C: $i] :
        ( ~ iext(uri_owl_allValuesFrom,Z,C)
        | ~ iext(uri_owl_onProperty,Z,P)
        | ! [X: $i] :
            ~ ( ~ ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
              | ~ ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
  <=> ! [Z: $i,P: $i,C: $i] :
        ( ~ iext(uri_owl_allValuesFrom,Z,C)
        | ~ iext(uri_owl_onProperty,Z,P)
        | ! [X: $i] :
            ~ ( ~ ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
              | ~ ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) ),
    inference(transitivity,[status(thm)],[13,11]) ).

tff(15,plain,
    ^ [Z: $i,P: $i,C: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              rewrite(
                ( ( iext(uri_owl_allValuesFrom,Z,C)
                  & iext(uri_owl_onProperty,Z,P) )
              <=> ~ ( ~ iext(uri_owl_allValuesFrom,Z,C)
                    | ~ iext(uri_owl_onProperty,Z,P) ) )),
              ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
                  & iext(uri_owl_onProperty,Z,P) )
            <=> ~ ~ ( ~ iext(uri_owl_allValuesFrom,Z,C)
                    | ~ iext(uri_owl_onProperty,Z,P) ) )),
            rewrite(
              ( ~ ~ ( ~ iext(uri_owl_allValuesFrom,Z,C)
                    | ~ iext(uri_owl_onProperty,Z,P) )
            <=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
                | ~ iext(uri_owl_onProperty,Z,P) ) )),
            ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
                & iext(uri_owl_onProperty,Z,P) )
          <=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
              | ~ iext(uri_owl_onProperty,Z,P) ) )),
          quant_intro(
            proof_bind(
              ^ [X: $i] :
                trans(
                  monotonicity(
                    rewrite(
                      ( ( ~ icext(Z,X)
                        | ! [Y: $i] :
                            ( ~ iext(P,X,Y)
                            | icext(C,Y) ) )
                    <=> ( ~ icext(Z,X)
                        | ! [Y: $i] :
                            ( ~ iext(P,X,Y)
                            | icext(C,Y) ) ) )),
                    rewrite(
                      ( ( icext(Z,X)
                        | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                            | icext(C,tptp_fun_Y_11(X,C,P)) ) )
                    <=> ( icext(Z,X)
                        | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                            | icext(C,tptp_fun_Y_11(X,C,P)) ) ) )),
                    ( ( ( ~ icext(Z,X)
                        | ! [Y: $i] :
                            ( ~ iext(P,X,Y)
                            | icext(C,Y) ) )
                      & ( icext(Z,X)
                        | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                            | icext(C,tptp_fun_Y_11(X,C,P)) ) ) )
                  <=> ( ( ~ icext(Z,X)
                        | ! [Y: $i] :
                            ( ~ iext(P,X,Y)
                            | icext(C,Y) ) )
                      & ( icext(Z,X)
                        | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                            | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )),
                  rewrite(
                    ( ( ( ~ icext(Z,X)
                        | ! [Y: $i] :
                            ( ~ iext(P,X,Y)
                            | icext(C,Y) ) )
                      & ( icext(Z,X)
                        | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                            | icext(C,tptp_fun_Y_11(X,C,P)) ) ) )
                  <=> ~ ( ~ ( ~ icext(Z,X)
                            | ! [Y: $i] :
                                ( ~ iext(P,X,Y)
                                | icext(C,Y) ) )
                        | ~ ( icext(Z,X)
                            | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                                | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )),
                  ( ( ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                    & ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) )
                <=> ~ ( ~ ( ~ icext(Z,X)
                          | ! [Y: $i] :
                              ( ~ iext(P,X,Y)
                              | icext(C,Y) ) )
                      | ~ ( icext(Z,X)
                          | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                              | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ))),
            ( ! [X: $i] :
                ( ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
                & ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) )
          <=> ! [X: $i] :
                ~ ( ~ ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                  | ~ ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )),
          ( ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
                & iext(uri_owl_onProperty,Z,P) )
            | ! [X: $i] :
                ( ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
                & ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
        <=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
            | ~ iext(uri_owl_onProperty,Z,P)
            | ! [X: $i] :
                ~ ( ~ ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                  | ~ ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
        rewrite(
          ( ( ~ iext(uri_owl_allValuesFrom,Z,C)
            | ~ iext(uri_owl_onProperty,Z,P)
            | ! [X: $i] :
                ~ ( ~ ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                  | ~ ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
        <=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
            | ~ iext(uri_owl_onProperty,Z,P)
            | ! [X: $i] :
                ~ ( ~ ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                  | ~ ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
        ( ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
              & iext(uri_owl_onProperty,Z,P) )
          | ! [X: $i] :
              ( ( ~ icext(Z,X)
                | ! [Y: $i] :
                    ( ~ iext(P,X,Y)
                    | icext(C,Y) ) )
              & ( icext(Z,X)
                | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                    | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
      <=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(16,plain,
    ( ! [Z: $i,P: $i,C: $i] :
        ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
            & iext(uri_owl_onProperty,Z,P) )
        | ! [X: $i] :
            ( ( ~ icext(Z,X)
              | ! [Y: $i] :
                  ( ~ iext(P,X,Y)
                  | icext(C,Y) ) )
            & ( icext(Z,X)
              | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                  | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
  <=> ! [Z: $i,P: $i,C: $i] :
        ( ~ iext(uri_owl_allValuesFrom,Z,C)
        | ~ iext(uri_owl_onProperty,Z,P)
        | ! [X: $i] :
            ~ ( ~ ( ~ icext(Z,X)
                  | ! [Y: $i] :
                      ( ~ iext(P,X,Y)
                      | icext(C,Y) ) )
              | ~ ( icext(Z,X)
                  | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                      | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) ),
    inference(quant_intro,[status(thm)],[15]) ).

tff(17,plain,
    ( ! [Z: $i,P: $i,C: $i] :
        ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
            & iext(uri_owl_onProperty,Z,P) )
        | ! [X: $i] :
            ( icext(Z,X)
          <=> ! [Y: $i] :
                ( ~ iext(P,X,Y)
                | icext(C,Y) ) ) )
  <=> ! [Z: $i,P: $i,C: $i] :
        ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
            & iext(uri_owl_onProperty,Z,P) )
        | ! [X: $i] :
            ( icext(Z,X)
          <=> ! [Y: $i] :
                ( ~ iext(P,X,Y)
                | icext(C,Y) ) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(18,plain,
    ^ [Z: $i,P: $i,C: $i] :
      trans(
        monotonicity(
          quant_intro(
            proof_bind(
              ^ [X: $i] :
                rewrite(
                  ( ( icext(Z,X)
                  <=> ! [Y: $i] :
                        ( iext(P,X,Y)
                       => icext(C,Y) ) )
                <=> ( icext(Z,X)
                  <=> ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) ) ))),
            ( ! [X: $i] :
                ( icext(Z,X)
              <=> ! [Y: $i] :
                    ( iext(P,X,Y)
                   => icext(C,Y) ) )
          <=> ! [X: $i] :
                ( icext(Z,X)
              <=> ! [Y: $i] :
                    ( ~ iext(P,X,Y)
                    | icext(C,Y) ) ) )),
          ( ( ( iext(uri_owl_allValuesFrom,Z,C)
              & iext(uri_owl_onProperty,Z,P) )
           => ! [X: $i] :
                ( icext(Z,X)
              <=> ! [Y: $i] :
                    ( iext(P,X,Y)
                   => icext(C,Y) ) ) )
        <=> ( ( iext(uri_owl_allValuesFrom,Z,C)
              & iext(uri_owl_onProperty,Z,P) )
           => ! [X: $i] :
                ( icext(Z,X)
              <=> ! [Y: $i] :
                    ( ~ iext(P,X,Y)
                    | icext(C,Y) ) ) ) )),
        rewrite(
          ( ( ( iext(uri_owl_allValuesFrom,Z,C)
              & iext(uri_owl_onProperty,Z,P) )
           => ! [X: $i] :
                ( icext(Z,X)
              <=> ! [Y: $i] :
                    ( ~ iext(P,X,Y)
                    | icext(C,Y) ) ) )
        <=> ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
                & iext(uri_owl_onProperty,Z,P) )
            | ! [X: $i] :
                ( icext(Z,X)
              <=> ! [Y: $i] :
                    ( ~ iext(P,X,Y)
                    | icext(C,Y) ) ) ) )),
        ( ( ( iext(uri_owl_allValuesFrom,Z,C)
            & iext(uri_owl_onProperty,Z,P) )
         => ! [X: $i] :
              ( icext(Z,X)
            <=> ! [Y: $i] :
                  ( iext(P,X,Y)
                 => icext(C,Y) ) ) )
      <=> ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
              & iext(uri_owl_onProperty,Z,P) )
          | ! [X: $i] :
              ( icext(Z,X)
            <=> ! [Y: $i] :
                  ( ~ iext(P,X,Y)
                  | icext(C,Y) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(19,plain,
    ( ! [Z: $i,P: $i,C: $i] :
        ( ( iext(uri_owl_allValuesFrom,Z,C)
          & iext(uri_owl_onProperty,Z,P) )
       => ! [X: $i] :
            ( icext(Z,X)
          <=> ! [Y: $i] :
                ( iext(P,X,Y)
               => icext(C,Y) ) ) )
  <=> ! [Z: $i,P: $i,C: $i] :
        ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
            & iext(uri_owl_onProperty,Z,P) )
        | ! [X: $i] :
            ( icext(Z,X)
          <=> ! [Y: $i] :
                ( ~ iext(P,X,Y)
                | icext(C,Y) ) ) ) ),
    inference(quant_intro,[status(thm)],[18]) ).

tff(20,axiom,
    ! [Z: $i,P: $i,C: $i] :
      ( ( iext(uri_owl_allValuesFrom,Z,C)
        & iext(uri_owl_onProperty,Z,P) )
     => ! [X: $i] :
          ( icext(Z,X)
        <=> ! [Y: $i] :
              ( iext(P,X,Y)
             => icext(C,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_restrict_allvaluesfrom) ).

tff(21,plain,
    ! [Z: $i,P: $i,C: $i] :
      ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
          & iext(uri_owl_onProperty,Z,P) )
      | ! [X: $i] :
          ( icext(Z,X)
        <=> ! [Y: $i] :
              ( ~ iext(P,X,Y)
              | icext(C,Y) ) ) ),
    inference(modus_ponens,[status(thm)],[20,19]) ).

tff(22,plain,
    ! [Z: $i,P: $i,C: $i] :
      ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
          & iext(uri_owl_onProperty,Z,P) )
      | ! [X: $i] :
          ( icext(Z,X)
        <=> ! [Y: $i] :
              ( ~ iext(P,X,Y)
              | icext(C,Y) ) ) ),
    inference(modus_ponens,[status(thm)],[21,17]) ).

tff(23,plain,
    ! [Z: $i,P: $i,C: $i] :
      ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
          & iext(uri_owl_onProperty,Z,P) )
      | ! [X: $i] :
          ( ( ~ icext(Z,X)
            | ! [Y: $i] :
                ( ~ iext(P,X,Y)
                | icext(C,Y) ) )
          & ( icext(Z,X)
            | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ),
    inference(skolemize,[status(sab)],[22]) ).

tff(24,plain,
    ! [Z: $i,P: $i,C: $i] :
      ( ~ iext(uri_owl_allValuesFrom,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ! [X: $i] :
          ~ ( ~ ( ~ icext(Z,X)
                | ! [Y: $i] :
                    ( ~ iext(P,X,Y)
                    | icext(C,Y) ) )
            | ~ ( icext(Z,X)
                | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                    | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ),
    inference(modus_ponens,[status(thm)],[23,16]) ).

tff(25,plain,
    ! [Z: $i,P: $i,C: $i] :
      ( ~ iext(uri_owl_allValuesFrom,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ! [X: $i] :
          ~ ( ~ ( ~ icext(Z,X)
                | ! [Y: $i] :
                    ( ~ iext(P,X,Y)
                    | icext(C,Y) ) )
            | ~ ( icext(Z,X)
                | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                    | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ),
    inference(modus_ponens,[status(thm)],[24,14]) ).

tff(26,plain,
    ( ( ~ ! [Z: $i,P: $i,C: $i] :
            ( ~ iext(uri_owl_allValuesFrom,Z,C)
            | ~ iext(uri_owl_onProperty,Z,P)
            | ! [X: $i] :
                ~ ( ~ ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                  | ~ ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
      | ~ iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
      | ~ iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
      | ! [X: $i] :
          ~ ( ~ ( ~ icext(uri_ex_x1,X)
                | ! [Y: $i] :
                    ( ~ iext(uri_ex_p,X,Y)
                    | icext(uri_ex_c1,Y) ) )
            | ~ ( icext(uri_ex_x1,X)
                | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p))
                    | icext(uri_ex_c1,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p)) ) ) ) )
  <=> ( ~ ! [Z: $i,P: $i,C: $i] :
            ( ~ iext(uri_owl_allValuesFrom,Z,C)
            | ~ iext(uri_owl_onProperty,Z,P)
            | ! [X: $i] :
                ~ ( ~ ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                  | ~ ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
      | ~ iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
      | ~ iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
      | ! [X: $i] :
          ~ ( ~ ( ~ icext(uri_ex_x1,X)
                | ! [Y: $i] :
                    ( ~ iext(uri_ex_p,X,Y)
                    | icext(uri_ex_c1,Y) ) )
            | ~ ( icext(uri_ex_x1,X)
                | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p))
                    | icext(uri_ex_c1,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p)) ) ) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(27,plain,
    ( ~ ! [Z: $i,P: $i,C: $i] :
          ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
    | ~ iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
    | ~ iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
    | ! [X: $i] :
        ~ ( ~ ( ~ icext(uri_ex_x1,X)
              | ! [Y: $i] :
                  ( ~ iext(uri_ex_p,X,Y)
                  | icext(uri_ex_c1,Y) ) )
          | ~ ( icext(uri_ex_x1,X)
              | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p))
                  | icext(uri_ex_c1,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p)) ) ) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(28,plain,
    ( ~ ! [Z: $i,P: $i,C: $i] :
          ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
    | ~ iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
    | ~ iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
    | ! [X: $i] :
        ~ ( ~ ( ~ icext(uri_ex_x1,X)
              | ! [Y: $i] :
                  ( ~ iext(uri_ex_p,X,Y)
                  | icext(uri_ex_c1,Y) ) )
          | ~ ( icext(uri_ex_x1,X)
              | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p))
                  | icext(uri_ex_c1,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p)) ) ) ) ),
    inference(modus_ponens,[status(thm)],[27,26]) ).

tff(29,plain,
    ! [X: $i] :
      ~ ( ~ ( ~ icext(uri_ex_x1,X)
            | ! [Y: $i] :
                ( ~ iext(uri_ex_p,X,Y)
                | icext(uri_ex_c1,Y) ) )
        | ~ ( icext(uri_ex_x1,X)
            | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p))
                | icext(uri_ex_c1,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p)) ) ) ),
    inference(unit_resolution,[status(thm)],[28,25,9,5]) ).

tff(30,plain,
    ( ~ ! [X: $i] :
          ~ ( ~ ( ~ icext(uri_ex_x1,X)
                | ! [Y: $i] :
                    ( ~ iext(uri_ex_p,X,Y)
                    | icext(uri_ex_c1,Y) ) )
            | ~ ( icext(uri_ex_x1,X)
                | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p))
                    | icext(uri_ex_c1,tptp_fun_Y_11(X,uri_ex_c1,uri_ex_p)) ) ) )
    | ~ ( ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
            | ! [Y: $i] :
                ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
                | icext(uri_ex_c1,Y) ) )
        | ~ ( icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
            | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c1,uri_ex_p))
                | icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c1,uri_ex_p)) ) ) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(31,plain,
    ~ ( ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
          | ! [Y: $i] :
              ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
              | icext(uri_ex_c1,Y) ) )
      | ~ ( icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
          | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c1,uri_ex_p))
              | icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c1,uri_ex_p)) ) ) ),
    inference(unit_resolution,[status(thm)],[30,29]) ).

tff(32,plain,
    ( ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | ! [Y: $i] :
            ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
            | icext(uri_ex_c1,Y) ) )
    | ~ ( icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c1,uri_ex_p))
            | icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c1,uri_ex_p)) ) )
    | ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | ! [Y: $i] :
        ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
        | icext(uri_ex_c1,Y) ) ),
    inference(tautology,[status(thm)],]) ).

tff(33,plain,
    ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | ! [Y: $i] :
        ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
        | icext(uri_ex_c1,Y) ) ),
    inference(unit_resolution,[status(thm)],[32,31]) ).

tff(34,plain,
    ^ [C1: $i,C2: $i] :
      rewrite(
        ( ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ( ~ ic(C2)
                    | ~ ic(C1)
                    | ~ ! [X: $i] :
                          ( ~ icext(C1,X)
                          | icext(C2,X) ) ) )
            | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ic(C2)
                | ~ ic(C1)
                | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                    | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
      <=> ~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ic(C2)
                | ~ ic(C1)
                | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                    | icext(C2,tptp_fun_X_61(C2,C1)) ) )
            | ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ( ~ ic(C2)
                    | ~ ic(C1)
                    | ~ ! [X: $i] :
                          ( ~ icext(C1,X)
                          | icext(C2,X) ) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(35,plain,
    ( ! [C1: $i,C2: $i] :
        ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
          | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
  <=> ! [C1: $i,C2: $i] :
        ~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) )
          | ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) ) ) ),
    inference(quant_intro,[status(thm)],[34]) ).

tff(36,plain,
    ^ [C1: $i,C2: $i] :
      refl(
        ( ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ( ~ ic(C2)
                    | ~ ic(C1)
                    | ~ ! [X: $i] :
                          ( ~ icext(C1,X)
                          | icext(C2,X) ) ) )
            | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ic(C2)
                | ~ ic(C1)
                | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                    | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
      <=> ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ( ~ ic(C2)
                    | ~ ic(C1)
                    | ~ ! [X: $i] :
                          ( ~ icext(C1,X)
                          | icext(C2,X) ) ) )
            | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ic(C2)
                | ~ ic(C1)
                | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                    | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(37,plain,
    ( ! [C1: $i,C2: $i] :
        ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
          | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
  <=> ! [C1: $i,C2: $i] :
        ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
          | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
    inference(quant_intro,[status(thm)],[36]) ).

tff(38,plain,
    ^ [C1: $i,C2: $i] :
      rewrite(
        ( ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ( ~ ic(C2)
                    | ~ ic(C1)
                    | ~ ! [X: $i] :
                          ( ~ icext(C1,X)
                          | icext(C2,X) ) ) )
            | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ic(C2)
                | ~ ic(C1)
                | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                    | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
      <=> ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ( ~ ic(C2)
                    | ~ ic(C1)
                    | ~ ! [X: $i] :
                          ( ~ icext(C1,X)
                          | icext(C2,X) ) ) )
            | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ic(C2)
                | ~ ic(C1)
                | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                    | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(39,plain,
    ( ! [C1: $i,C2: $i] :
        ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
          | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
  <=> ! [C1: $i,C2: $i] :
        ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
          | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
    inference(quant_intro,[status(thm)],[38]) ).

tff(40,plain,
    ( ! [C1: $i,C2: $i] :
        ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
          | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
  <=> ! [C1: $i,C2: $i] :
        ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
          | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
    inference(transitivity,[status(thm)],[39,37]) ).

tff(41,plain,
    ^ [C1: $i,C2: $i] :
      trans(
        monotonicity(
          rewrite(
            ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ( ic(C1)
                & ic(C2)
                & ! [X: $i] :
                    ( ~ icext(C1,X)
                    | icext(C2,X) ) ) )
          <=> ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) ) )),
          rewrite(
            ( ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) )
          <=> ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )),
          ( ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ( ic(C1)
                & ic(C2)
                & ! [X: $i] :
                    ( ~ icext(C1,X)
                    | icext(C2,X) ) ) )
            & ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
        <=> ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
            & ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
        rewrite(
          ( ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
            & ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
        <=> ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                  | ~ ( ~ ic(C2)
                      | ~ ic(C1)
                      | ~ ! [X: $i] :
                            ( ~ icext(C1,X)
                            | icext(C2,X) ) ) )
              | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                  | ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                      | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
        ( ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
            | ( ic(C1)
              & ic(C2)
              & ! [X: $i] :
                  ( ~ icext(C1,X)
                  | icext(C2,X) ) ) )
          & ( iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ic(C2)
            | ~ ic(C1)
            | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
      <=> ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ( ~ ic(C2)
                    | ~ ic(C1)
                    | ~ ! [X: $i] :
                          ( ~ icext(C1,X)
                          | icext(C2,X) ) ) )
            | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ic(C2)
                | ~ ic(C1)
                | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                    | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(42,plain,
    ( ! [C1: $i,C2: $i] :
        ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
          | ( ic(C1)
            & ic(C2)
            & ! [X: $i] :
                ( ~ icext(C1,X)
                | icext(C2,X) ) ) )
        & ( iext(uri_rdfs_subClassOf,C1,C2)
          | ~ ic(C2)
          | ~ ic(C1)
          | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
              | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
  <=> ! [C1: $i,C2: $i] :
        ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ( ~ ic(C2)
                  | ~ ic(C1)
                  | ~ ! [X: $i] :
                        ( ~ icext(C1,X)
                        | icext(C2,X) ) ) )
          | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
              | ~ ic(C2)
              | ~ ic(C1)
              | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                  | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
    inference(quant_intro,[status(thm)],[41]) ).

tff(43,plain,
    ^ [C1: $i,C2: $i] :
      rewrite(
        ( ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
            | ( ic(C1)
              & ic(C2)
              & ! [X: $i] :
                  ( ~ icext(C1,X)
                  | icext(C2,X) ) ) )
          & ( iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ic(C1)
            | ~ ic(C2)
            | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
      <=> ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
            | ( ic(C1)
              & ic(C2)
              & ! [X: $i] :
                  ( ~ icext(C1,X)
                  | icext(C2,X) ) ) )
          & ( iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ic(C2)
            | ~ ic(C1)
            | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(44,plain,
    ( ! [C1: $i,C2: $i] :
        ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
          | ( ic(C1)
            & ic(C2)
            & ! [X: $i] :
                ( ~ icext(C1,X)
                | icext(C2,X) ) ) )
        & ( iext(uri_rdfs_subClassOf,C1,C2)
          | ~ ic(C1)
          | ~ ic(C2)
          | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
              | icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
  <=> ! [C1: $i,C2: $i] :
        ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
          | ( ic(C1)
            & ic(C2)
            & ! [X: $i] :
                ( ~ icext(C1,X)
                | icext(C2,X) ) ) )
        & ( iext(uri_rdfs_subClassOf,C1,C2)
          | ~ ic(C2)
          | ~ ic(C1)
          | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
              | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
    inference(quant_intro,[status(thm)],[43]) ).

tff(45,plain,
    ( ! [C1: $i,C2: $i] :
        ( iext(uri_rdfs_subClassOf,C1,C2)
      <=> ( ic(C1)
          & ic(C2)
          & ! [X: $i] :
              ( ~ icext(C1,X)
              | icext(C2,X) ) ) )
  <=> ! [C1: $i,C2: $i] :
        ( iext(uri_rdfs_subClassOf,C1,C2)
      <=> ( ic(C1)
          & ic(C2)
          & ! [X: $i] :
              ( ~ icext(C1,X)
              | icext(C2,X) ) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(46,plain,
    ^ [C1: $i,C2: $i] :
      rewrite(
        ( ( iext(uri_rdfs_subClassOf,C1,C2)
        <=> ( ic(C1)
            & ic(C2)
            & ! [X: $i] :
                ( icext(C1,X)
               => icext(C2,X) ) ) )
      <=> ( iext(uri_rdfs_subClassOf,C1,C2)
        <=> ( ic(C1)
            & ic(C2)
            & ! [X: $i] :
                ( ~ icext(C1,X)
                | icext(C2,X) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(47,plain,
    ( ! [C1: $i,C2: $i] :
        ( iext(uri_rdfs_subClassOf,C1,C2)
      <=> ( ic(C1)
          & ic(C2)
          & ! [X: $i] :
              ( icext(C1,X)
             => icext(C2,X) ) ) )
  <=> ! [C1: $i,C2: $i] :
        ( iext(uri_rdfs_subClassOf,C1,C2)
      <=> ( ic(C1)
          & ic(C2)
          & ! [X: $i] :
              ( ~ icext(C1,X)
              | icext(C2,X) ) ) ) ),
    inference(quant_intro,[status(thm)],[46]) ).

tff(48,axiom,
    ! [C1: $i,C2: $i] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X: $i] :
            ( icext(C1,X)
           => icext(C2,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

tff(49,plain,
    ! [C1: $i,C2: $i] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X: $i] :
            ( ~ icext(C1,X)
            | icext(C2,X) ) ) ),
    inference(modus_ponens,[status(thm)],[48,47]) ).

tff(50,plain,
    ! [C1: $i,C2: $i] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X: $i] :
            ( ~ icext(C1,X)
            | icext(C2,X) ) ) ),
    inference(modus_ponens,[status(thm)],[49,45]) ).

tff(51,plain,
    ! [C1: $i,C2: $i] :
      ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
        | ( ic(C1)
          & ic(C2)
          & ! [X: $i] :
              ( ~ icext(C1,X)
              | icext(C2,X) ) ) )
      & ( iext(uri_rdfs_subClassOf,C1,C2)
        | ~ ic(C1)
        | ~ ic(C2)
        | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
            | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ),
    inference(skolemize,[status(sab)],[50]) ).

tff(52,plain,
    ! [C1: $i,C2: $i] :
      ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
        | ( ic(C1)
          & ic(C2)
          & ! [X: $i] :
              ( ~ icext(C1,X)
              | icext(C2,X) ) ) )
      & ( iext(uri_rdfs_subClassOf,C1,C2)
        | ~ ic(C2)
        | ~ ic(C1)
        | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
            | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ),
    inference(modus_ponens,[status(thm)],[51,44]) ).

tff(53,plain,
    ! [C1: $i,C2: $i] :
      ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ( ~ ic(C2)
                | ~ ic(C1)
                | ~ ! [X: $i] :
                      ( ~ icext(C1,X)
                      | icext(C2,X) ) ) )
        | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ic(C2)
            | ~ ic(C1)
            | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ),
    inference(modus_ponens,[status(thm)],[52,42]) ).

tff(54,plain,
    ! [C1: $i,C2: $i] :
      ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ( ~ ic(C2)
                | ~ ic(C1)
                | ~ ! [X: $i] :
                      ( ~ icext(C1,X)
                      | icext(C2,X) ) ) )
        | ~ ( iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ic(C2)
            | ~ ic(C1)
            | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                | icext(C2,tptp_fun_X_61(C2,C1)) ) ) ),
    inference(modus_ponens,[status(thm)],[53,40]) ).

tff(55,plain,
    ! [C1: $i,C2: $i] :
      ~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ic(C2)
            | ~ ic(C1)
            | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                | icext(C2,tptp_fun_X_61(C2,C1)) ) )
        | ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
            | ~ ( ~ ic(C2)
                | ~ ic(C1)
                | ~ ! [X: $i] :
                      ( ~ icext(C1,X)
                      | icext(C2,X) ) ) ) ),
    inference(modus_ponens,[status(thm)],[54,35]) ).

tff(56,plain,
    ( ~ ! [C1: $i,C2: $i] :
          ~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ic(C2)
                | ~ ic(C1)
                | ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
                    | icext(C2,tptp_fun_X_61(C2,C1)) ) )
            | ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
                | ~ ( ~ ic(C2)
                    | ~ ic(C1)
                    | ~ ! [X: $i] :
                          ( ~ icext(C1,X)
                          | icext(C2,X) ) ) ) )
    | ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
            | ~ ic(uri_ex_x2)
            | ~ ic(uri_ex_x1)
            | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
                | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) )
        | ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
            | ~ ( ~ ic(uri_ex_x2)
                | ~ ic(uri_ex_x1)
                | ~ ! [X: $i] :
                      ( ~ icext(uri_ex_x1,X)
                      | icext(uri_ex_x2,X) ) ) ) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(57,plain,
    ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
          | ~ ic(uri_ex_x2)
          | ~ ic(uri_ex_x1)
          | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
              | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) )
      | ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
          | ~ ( ~ ic(uri_ex_x2)
              | ~ ic(uri_ex_x1)
              | ~ ! [X: $i] :
                    ( ~ icext(uri_ex_x1,X)
                    | icext(uri_ex_x2,X) ) ) ) ),
    inference(unit_resolution,[status(thm)],[56,55]) ).

tff(58,plain,
    ( ~ ( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
        | ~ ic(uri_ex_x2)
        | ~ ic(uri_ex_x1)
        | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
            | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) )
    | ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
        | ~ ( ~ ic(uri_ex_x2)
            | ~ ic(uri_ex_x1)
            | ~ ! [X: $i] :
                  ( ~ icext(uri_ex_x1,X)
                  | icext(uri_ex_x2,X) ) ) )
    | iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
    | ~ ic(uri_ex_x2)
    | ~ ic(uri_ex_x1)
    | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) ),
    inference(tautology,[status(thm)],]) ).

tff(59,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
    | ~ ic(uri_ex_x2)
    | ~ ic(uri_ex_x1)
    | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) ),
    inference(unit_resolution,[status(thm)],[58,57]) ).

tff(60,plain,
    ( iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
  <=> iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2) ),
    inference(rewrite,[status(thm)],]) ).

tff(61,plain,
    ( iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p) ),
    inference(and_elim,[status(thm)],[7]) ).

tff(62,plain,
    iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2),
    inference(and_elim,[status(thm)],[61]) ).

tff(63,plain,
    iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2),
    inference(modus_ponens,[status(thm)],[62,60]) ).

tff(64,plain,
    ^ [X: $i,Y: $i] :
      refl(
        ( ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ~ ( ~ ic(Y)
              | ~ icext(uri_owl_Restriction,X) ) )
      <=> ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ~ ( ~ ic(Y)
              | ~ icext(uri_owl_Restriction,X) ) ) )),
    inference(bind,[status(th)],]) ).

tff(65,plain,
    ( ! [X: $i,Y: $i] :
        ( ~ iext(uri_owl_allValuesFrom,X,Y)
        | ~ ( ~ ic(Y)
            | ~ icext(uri_owl_Restriction,X) ) )
  <=> ! [X: $i,Y: $i] :
        ( ~ iext(uri_owl_allValuesFrom,X,Y)
        | ~ ( ~ ic(Y)
            | ~ icext(uri_owl_Restriction,X) ) ) ),
    inference(quant_intro,[status(thm)],[64]) ).

tff(66,plain,
    ^ [X: $i,Y: $i] :
      rewrite(
        ( ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ( icext(uri_owl_Restriction,X)
            & ic(Y) ) )
      <=> ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ~ ( ~ ic(Y)
              | ~ icext(uri_owl_Restriction,X) ) ) )),
    inference(bind,[status(th)],]) ).

tff(67,plain,
    ( ! [X: $i,Y: $i] :
        ( ~ iext(uri_owl_allValuesFrom,X,Y)
        | ( icext(uri_owl_Restriction,X)
          & ic(Y) ) )
  <=> ! [X: $i,Y: $i] :
        ( ~ iext(uri_owl_allValuesFrom,X,Y)
        | ~ ( ~ ic(Y)
            | ~ icext(uri_owl_Restriction,X) ) ) ),
    inference(quant_intro,[status(thm)],[66]) ).

tff(68,plain,
    ( ! [X: $i,Y: $i] :
        ( ~ iext(uri_owl_allValuesFrom,X,Y)
        | ( icext(uri_owl_Restriction,X)
          & ic(Y) ) )
  <=> ! [X: $i,Y: $i] :
        ( ~ iext(uri_owl_allValuesFrom,X,Y)
        | ( icext(uri_owl_Restriction,X)
          & ic(Y) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(69,plain,
    ^ [X: $i,Y: $i] :
      rewrite(
        ( ( iext(uri_owl_allValuesFrom,X,Y)
         => ( icext(uri_owl_Restriction,X)
            & ic(Y) ) )
      <=> ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ( icext(uri_owl_Restriction,X)
            & ic(Y) ) ) )),
    inference(bind,[status(th)],]) ).

tff(70,plain,
    ( ! [X: $i,Y: $i] :
        ( iext(uri_owl_allValuesFrom,X,Y)
       => ( icext(uri_owl_Restriction,X)
          & ic(Y) ) )
  <=> ! [X: $i,Y: $i] :
        ( ~ iext(uri_owl_allValuesFrom,X,Y)
        | ( icext(uri_owl_Restriction,X)
          & ic(Y) ) ) ),
    inference(quant_intro,[status(thm)],[69]) ).

tff(71,axiom,
    ! [X: $i,Y: $i] :
      ( iext(uri_owl_allValuesFrom,X,Y)
     => ( icext(uri_owl_Restriction,X)
        & ic(Y) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_allvaluesfrom_ext) ).

tff(72,plain,
    ! [X: $i,Y: $i] :
      ( ~ iext(uri_owl_allValuesFrom,X,Y)
      | ( icext(uri_owl_Restriction,X)
        & ic(Y) ) ),
    inference(modus_ponens,[status(thm)],[71,70]) ).

tff(73,plain,
    ! [X: $i,Y: $i] :
      ( ~ iext(uri_owl_allValuesFrom,X,Y)
      | ( icext(uri_owl_Restriction,X)
        & ic(Y) ) ),
    inference(modus_ponens,[status(thm)],[72,68]) ).

tff(74,plain,
    ! [X: $i,Y: $i] :
      ( ~ iext(uri_owl_allValuesFrom,X,Y)
      | ( icext(uri_owl_Restriction,X)
        & ic(Y) ) ),
    inference(skolemize,[status(sab)],[73]) ).

tff(75,plain,
    ! [X: $i,Y: $i] :
      ( ~ iext(uri_owl_allValuesFrom,X,Y)
      | ~ ( ~ ic(Y)
          | ~ icext(uri_owl_Restriction,X) ) ),
    inference(modus_ponens,[status(thm)],[74,67]) ).

tff(76,plain,
    ! [X: $i,Y: $i] :
      ( ~ iext(uri_owl_allValuesFrom,X,Y)
      | ~ ( ~ ic(Y)
          | ~ icext(uri_owl_Restriction,X) ) ),
    inference(modus_ponens,[status(thm)],[75,65]) ).

tff(77,plain,
    ( ( ~ ! [X: $i,Y: $i] :
            ( ~ iext(uri_owl_allValuesFrom,X,Y)
            | ~ ( ~ ic(Y)
                | ~ icext(uri_owl_Restriction,X) ) )
      | ~ iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
      | ~ ( ~ ic(uri_ex_c2)
          | ~ icext(uri_owl_Restriction,uri_ex_x2) ) )
  <=> ( ~ ! [X: $i,Y: $i] :
            ( ~ iext(uri_owl_allValuesFrom,X,Y)
            | ~ ( ~ ic(Y)
                | ~ icext(uri_owl_Restriction,X) ) )
      | ~ iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
      | ~ ( ~ ic(uri_ex_c2)
          | ~ icext(uri_owl_Restriction,uri_ex_x2) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(78,plain,
    ( ~ ! [X: $i,Y: $i] :
          ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ~ ( ~ ic(Y)
              | ~ icext(uri_owl_Restriction,X) ) )
    | ~ iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
    | ~ ( ~ ic(uri_ex_c2)
        | ~ icext(uri_owl_Restriction,uri_ex_x2) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(79,plain,
    ( ~ ! [X: $i,Y: $i] :
          ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ~ ( ~ ic(Y)
              | ~ icext(uri_owl_Restriction,X) ) )
    | ~ iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
    | ~ ( ~ ic(uri_ex_c2)
        | ~ icext(uri_owl_Restriction,uri_ex_x2) ) ),
    inference(modus_ponens,[status(thm)],[78,77]) ).

tff(80,plain,
    ~ ( ~ ic(uri_ex_c2)
      | ~ icext(uri_owl_Restriction,uri_ex_x2) ),
    inference(unit_resolution,[status(thm)],[79,76,63]) ).

tff(81,plain,
    ( ~ ic(uri_ex_c2)
    | ~ icext(uri_owl_Restriction,uri_ex_x2)
    | icext(uri_owl_Restriction,uri_ex_x2) ),
    inference(tautology,[status(thm)],]) ).

tff(82,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(unit_resolution,[status(thm)],[81,80]) ).

tff(83,plain,
    ^ [X: $i] :
      refl(
        ( ( ic(X)
          | ~ icext(uri_owl_Restriction,X) )
      <=> ( ic(X)
          | ~ icext(uri_owl_Restriction,X) ) )),
    inference(bind,[status(th)],]) ).

tff(84,plain,
    ( ! [X: $i] :
        ( ic(X)
        | ~ icext(uri_owl_Restriction,X) )
  <=> ! [X: $i] :
        ( ic(X)
        | ~ icext(uri_owl_Restriction,X) ) ),
    inference(quant_intro,[status(thm)],[83]) ).

tff(85,plain,
    ( ! [X: $i] :
        ( ic(X)
        | ~ icext(uri_owl_Restriction,X) )
  <=> ! [X: $i] :
        ( ic(X)
        | ~ icext(uri_owl_Restriction,X) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(86,plain,
    ^ [X: $i] :
      rewrite(
        ( ( icext(uri_owl_Restriction,X)
         => ic(X) )
      <=> ( ic(X)
          | ~ icext(uri_owl_Restriction,X) ) )),
    inference(bind,[status(th)],]) ).

tff(87,plain,
    ( ! [X: $i] :
        ( icext(uri_owl_Restriction,X)
       => ic(X) )
  <=> ! [X: $i] :
        ( ic(X)
        | ~ icext(uri_owl_Restriction,X) ) ),
    inference(quant_intro,[status(thm)],[86]) ).

tff(88,axiom,
    ! [X: $i] :
      ( icext(uri_owl_Restriction,X)
     => ic(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_restriction_ext) ).

tff(89,plain,
    ! [X: $i] :
      ( ic(X)
      | ~ icext(uri_owl_Restriction,X) ),
    inference(modus_ponens,[status(thm)],[88,87]) ).

tff(90,plain,
    ! [X: $i] :
      ( ic(X)
      | ~ icext(uri_owl_Restriction,X) ),
    inference(modus_ponens,[status(thm)],[89,85]) ).

tff(91,plain,
    ! [X: $i] :
      ( ic(X)
      | ~ icext(uri_owl_Restriction,X) ),
    inference(skolemize,[status(sab)],[90]) ).

tff(92,plain,
    ! [X: $i] :
      ( ic(X)
      | ~ icext(uri_owl_Restriction,X) ),
    inference(modus_ponens,[status(thm)],[91,84]) ).

tff(93,plain,
    ( ( ~ ! [X: $i] :
            ( ic(X)
            | ~ icext(uri_owl_Restriction,X) )
      | ic(uri_ex_x2)
      | ~ icext(uri_owl_Restriction,uri_ex_x2) )
  <=> ( ~ ! [X: $i] :
            ( ic(X)
            | ~ icext(uri_owl_Restriction,X) )
      | ic(uri_ex_x2)
      | ~ icext(uri_owl_Restriction,uri_ex_x2) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(94,plain,
    ( ~ ! [X: $i] :
          ( ic(X)
          | ~ icext(uri_owl_Restriction,X) )
    | ic(uri_ex_x2)
    | ~ icext(uri_owl_Restriction,uri_ex_x2) ),
    inference(quant_inst,[status(thm)],]) ).

tff(95,plain,
    ( ~ ! [X: $i] :
          ( ic(X)
          | ~ icext(uri_owl_Restriction,X) )
    | ic(uri_ex_x2)
    | ~ icext(uri_owl_Restriction,uri_ex_x2) ),
    inference(modus_ponens,[status(thm)],[94,93]) ).

tff(96,plain,
    ic(uri_ex_x2),
    inference(unit_resolution,[status(thm)],[95,92,82]) ).

tff(97,plain,
    ( ( ~ ! [X: $i,Y: $i] :
            ( ~ iext(uri_owl_allValuesFrom,X,Y)
            | ~ ( ~ ic(Y)
                | ~ icext(uri_owl_Restriction,X) ) )
      | ~ iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
      | ~ ( ~ ic(uri_ex_c1)
          | ~ icext(uri_owl_Restriction,uri_ex_x1) ) )
  <=> ( ~ ! [X: $i,Y: $i] :
            ( ~ iext(uri_owl_allValuesFrom,X,Y)
            | ~ ( ~ ic(Y)
                | ~ icext(uri_owl_Restriction,X) ) )
      | ~ iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
      | ~ ( ~ ic(uri_ex_c1)
          | ~ icext(uri_owl_Restriction,uri_ex_x1) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(98,plain,
    ( ~ ! [X: $i,Y: $i] :
          ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ~ ( ~ ic(Y)
              | ~ icext(uri_owl_Restriction,X) ) )
    | ~ iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
    | ~ ( ~ ic(uri_ex_c1)
        | ~ icext(uri_owl_Restriction,uri_ex_x1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(99,plain,
    ( ~ ! [X: $i,Y: $i] :
          ( ~ iext(uri_owl_allValuesFrom,X,Y)
          | ~ ( ~ ic(Y)
              | ~ icext(uri_owl_Restriction,X) ) )
    | ~ iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
    | ~ ( ~ ic(uri_ex_c1)
        | ~ icext(uri_owl_Restriction,uri_ex_x1) ) ),
    inference(modus_ponens,[status(thm)],[98,97]) ).

tff(100,plain,
    ~ ( ~ ic(uri_ex_c1)
      | ~ icext(uri_owl_Restriction,uri_ex_x1) ),
    inference(unit_resolution,[status(thm)],[99,76,9]) ).

tff(101,plain,
    ( ~ ic(uri_ex_c1)
    | ~ icext(uri_owl_Restriction,uri_ex_x1)
    | icext(uri_owl_Restriction,uri_ex_x1) ),
    inference(tautology,[status(thm)],]) ).

tff(102,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(unit_resolution,[status(thm)],[101,100]) ).

tff(103,plain,
    ( ( ~ ! [X: $i] :
            ( ic(X)
            | ~ icext(uri_owl_Restriction,X) )
      | ic(uri_ex_x1)
      | ~ icext(uri_owl_Restriction,uri_ex_x1) )
  <=> ( ~ ! [X: $i] :
            ( ic(X)
            | ~ icext(uri_owl_Restriction,X) )
      | ic(uri_ex_x1)
      | ~ icext(uri_owl_Restriction,uri_ex_x1) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(104,plain,
    ( ~ ! [X: $i] :
          ( ic(X)
          | ~ icext(uri_owl_Restriction,X) )
    | ic(uri_ex_x1)
    | ~ icext(uri_owl_Restriction,uri_ex_x1) ),
    inference(quant_inst,[status(thm)],]) ).

tff(105,plain,
    ( ~ ! [X: $i] :
          ( ic(X)
          | ~ icext(uri_owl_Restriction,X) )
    | ic(uri_ex_x1)
    | ~ icext(uri_owl_Restriction,uri_ex_x1) ),
    inference(modus_ponens,[status(thm)],[104,103]) ).

tff(106,plain,
    ic(uri_ex_x1),
    inference(unit_resolution,[status(thm)],[105,92,102]) ).

tff(107,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
  <=> ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2) ),
    inference(rewrite,[status(thm)],]) ).

tff(108,axiom,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_allvalues_cmp_class) ).

tff(109,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(modus_ponens,[status(thm)],[108,107]) ).

tff(110,plain,
    ( ~ ( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
        | ~ ic(uri_ex_x2)
        | ~ ic(uri_ex_x1)
        | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
            | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) )
    | iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
    | ~ ic(uri_ex_x2)
    | ~ ic(uri_ex_x1)
    | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) ),
    inference(tautology,[status(thm)],]) ).

tff(111,plain,
    ( ~ ( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
        | ~ ic(uri_ex_x2)
        | ~ ic(uri_ex_x1)
        | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
            | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) )
    | ~ ic(uri_ex_x2)
    | ~ ic(uri_ex_x1)
    | ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ) ),
    inference(unit_resolution,[status(thm)],[110,109]) ).

tff(112,plain,
    ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
      | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ),
    inference(unit_resolution,[status(thm)],[111,106,96,59]) ).

tff(113,plain,
    ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ),
    inference(tautology,[status(thm)],]) ).

tff(114,plain,
    icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)),
    inference(unit_resolution,[status(thm)],[113,112]) ).

tff(115,plain,
    ( ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | ! [Y: $i] :
            ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
            | icext(uri_ex_c1,Y) ) )
    | ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | ! [Y: $i] :
        ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
        | icext(uri_ex_c1,Y) ) ),
    inference(tautology,[status(thm)],]) ).

tff(116,plain,
    ( ~ ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | ! [Y: $i] :
            ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
            | icext(uri_ex_c1,Y) ) )
    | ! [Y: $i] :
        ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
        | icext(uri_ex_c1,Y) ) ),
    inference(unit_resolution,[status(thm)],[115,114]) ).

tff(117,plain,
    ! [Y: $i] :
      ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
      | icext(uri_ex_c1,Y) ),
    inference(unit_resolution,[status(thm)],[116,33]) ).

tff(118,plain,
    ( iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
  <=> iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p) ),
    inference(rewrite,[status(thm)],]) ).

tff(119,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p),
    inference(and_elim,[status(thm)],[61]) ).

tff(120,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p),
    inference(modus_ponens,[status(thm)],[119,118]) ).

tff(121,plain,
    ( ( ~ ! [Z: $i,P: $i,C: $i] :
            ( ~ iext(uri_owl_allValuesFrom,Z,C)
            | ~ iext(uri_owl_onProperty,Z,P)
            | ! [X: $i] :
                ~ ( ~ ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                  | ~ ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
      | ~ iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
      | ~ iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
      | ! [X: $i] :
          ~ ( ~ ( ~ icext(uri_ex_x2,X)
                | ! [Y: $i] :
                    ( ~ iext(uri_ex_p,X,Y)
                    | icext(uri_ex_c2,Y) ) )
            | ~ ( icext(uri_ex_x2,X)
                | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p))
                    | icext(uri_ex_c2,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p)) ) ) ) )
  <=> ( ~ ! [Z: $i,P: $i,C: $i] :
            ( ~ iext(uri_owl_allValuesFrom,Z,C)
            | ~ iext(uri_owl_onProperty,Z,P)
            | ! [X: $i] :
                ~ ( ~ ( ~ icext(Z,X)
                      | ! [Y: $i] :
                          ( ~ iext(P,X,Y)
                          | icext(C,Y) ) )
                  | ~ ( icext(Z,X)
                      | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                          | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
      | ~ iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
      | ~ iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
      | ! [X: $i] :
          ~ ( ~ ( ~ icext(uri_ex_x2,X)
                | ! [Y: $i] :
                    ( ~ iext(uri_ex_p,X,Y)
                    | icext(uri_ex_c2,Y) ) )
            | ~ ( icext(uri_ex_x2,X)
                | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p))
                    | icext(uri_ex_c2,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p)) ) ) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(122,plain,
    ( ~ ! [Z: $i,P: $i,C: $i] :
          ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
    | ~ iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
    | ~ iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    | ! [X: $i] :
        ~ ( ~ ( ~ icext(uri_ex_x2,X)
              | ! [Y: $i] :
                  ( ~ iext(uri_ex_p,X,Y)
                  | icext(uri_ex_c2,Y) ) )
          | ~ ( icext(uri_ex_x2,X)
              | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p))
                  | icext(uri_ex_c2,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p)) ) ) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(123,plain,
    ( ~ ! [Z: $i,P: $i,C: $i] :
          ( ~ iext(uri_owl_allValuesFrom,Z,C)
          | ~ iext(uri_owl_onProperty,Z,P)
          | ! [X: $i] :
              ~ ( ~ ( ~ icext(Z,X)
                    | ! [Y: $i] :
                        ( ~ iext(P,X,Y)
                        | icext(C,Y) ) )
                | ~ ( icext(Z,X)
                    | ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
                        | icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
    | ~ iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2)
    | ~ iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    | ! [X: $i] :
        ~ ( ~ ( ~ icext(uri_ex_x2,X)
              | ! [Y: $i] :
                  ( ~ iext(uri_ex_p,X,Y)
                  | icext(uri_ex_c2,Y) ) )
          | ~ ( icext(uri_ex_x2,X)
              | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p))
                  | icext(uri_ex_c2,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p)) ) ) ) ),
    inference(modus_ponens,[status(thm)],[122,121]) ).

tff(124,plain,
    ! [X: $i] :
      ~ ( ~ ( ~ icext(uri_ex_x2,X)
            | ! [Y: $i] :
                ( ~ iext(uri_ex_p,X,Y)
                | icext(uri_ex_c2,Y) ) )
        | ~ ( icext(uri_ex_x2,X)
            | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p))
                | icext(uri_ex_c2,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p)) ) ) ),
    inference(unit_resolution,[status(thm)],[123,25,63,120]) ).

tff(125,plain,
    ( ~ ! [X: $i] :
          ~ ( ~ ( ~ icext(uri_ex_x2,X)
                | ! [Y: $i] :
                    ( ~ iext(uri_ex_p,X,Y)
                    | icext(uri_ex_c2,Y) ) )
            | ~ ( icext(uri_ex_x2,X)
                | ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p))
                    | icext(uri_ex_c2,tptp_fun_Y_11(X,uri_ex_c2,uri_ex_p)) ) ) )
    | ~ ( ~ ( ~ icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
            | ! [Y: $i] :
                ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
                | icext(uri_ex_c2,Y) ) )
        | ~ ( icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
            | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
                | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) ) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(126,plain,
    ~ ( ~ ( ~ icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
          | ! [Y: $i] :
              ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
              | icext(uri_ex_c2,Y) ) )
      | ~ ( icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
          | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
              | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) ) ),
    inference(unit_resolution,[status(thm)],[125,124]) ).

tff(127,plain,
    ( ~ ( ~ icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | ! [Y: $i] :
            ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
            | icext(uri_ex_c2,Y) ) )
    | ~ ( icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
            | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) )
    | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
        | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) ),
    inference(tautology,[status(thm)],]) ).

tff(128,plain,
    ( icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
        | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) ),
    inference(unit_resolution,[status(thm)],[127,126]) ).

tff(129,plain,
    ( ~ icext(uri_ex_x1,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | ~ icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)) ),
    inference(tautology,[status(thm)],]) ).

tff(130,plain,
    ~ icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1)),
    inference(unit_resolution,[status(thm)],[129,112]) ).

tff(131,plain,
    ( ~ ( icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
            | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) )
    | icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
    | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
        | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) ),
    inference(tautology,[status(thm)],]) ).

tff(132,plain,
    ( ~ ( icext(uri_ex_x2,tptp_fun_X_61(uri_ex_x2,uri_ex_x1))
        | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
            | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) )
    | ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
        | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) ),
    inference(unit_resolution,[status(thm)],[131,130]) ).

tff(133,plain,
    ~ ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
      | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ),
    inference(unit_resolution,[status(thm)],[132,128]) ).

tff(134,plain,
    ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
    | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
    | iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ),
    inference(tautology,[status(thm)],]) ).

tff(135,plain,
    iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)),
    inference(unit_resolution,[status(thm)],[134,133]) ).

tff(136,plain,
    ( ( ~ ! [Y: $i] :
            ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
            | icext(uri_ex_c1,Y) )
      | ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
      | icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) )
  <=> ( ~ ! [Y: $i] :
            ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
            | icext(uri_ex_c1,Y) )
      | ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
      | icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(137,plain,
    ( ~ ! [Y: $i] :
          ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
          | icext(uri_ex_c1,Y) )
    | ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
    | icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(138,plain,
    ( ~ ! [Y: $i] :
          ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),Y)
          | icext(uri_ex_c1,Y) )
    | ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
    | icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ),
    inference(modus_ponens,[status(thm)],[137,136]) ).

tff(139,plain,
    icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)),
    inference(unit_resolution,[status(thm)],[138,135,117]) ).

tff(140,plain,
    ( ~ iext(uri_ex_p,tptp_fun_X_61(uri_ex_x2,uri_ex_x1),tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
    | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
    | ~ icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ),
    inference(tautology,[status(thm)],]) ).

tff(141,plain,
    ~ icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)),
    inference(unit_resolution,[status(thm)],[140,133]) ).

tff(142,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
  <=> iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2) ),
    inference(rewrite,[status(thm)],]) ).

tff(143,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
    inference(and_elim,[status(thm)],[2]) ).

tff(144,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
    inference(modus_ponens,[status(thm)],[143,142]) ).

tff(145,plain,
    ^ [C: $i,D: $i] :
      refl(
        ( ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ~ ( ~ ic(D)
              | ~ ic(C)
              | ~ ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) )
      <=> ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ~ ( ~ ic(D)
              | ~ ic(C)
              | ~ ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(146,plain,
    ( ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ~ ( ~ ic(D)
            | ~ ic(C)
            | ~ ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) )
  <=> ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ~ ( ~ ic(D)
            | ~ ic(C)
            | ~ ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) ) ),
    inference(quant_intro,[status(thm)],[145]) ).

tff(147,plain,
    ^ [C: $i,D: $i] :
      rewrite(
        ( ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ~ ( ~ ic(D)
              | ~ ic(C)
              | ~ ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) )
      <=> ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ~ ( ~ ic(D)
              | ~ ic(C)
              | ~ ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(148,plain,
    ( ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ~ ( ~ ic(D)
            | ~ ic(C)
            | ~ ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) )
  <=> ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ~ ( ~ ic(D)
            | ~ ic(C)
            | ~ ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) ) ),
    inference(quant_intro,[status(thm)],[147]) ).

tff(149,plain,
    ( ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ~ ( ~ ic(D)
            | ~ ic(C)
            | ~ ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) )
  <=> ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ~ ( ~ ic(D)
            | ~ ic(C)
            | ~ ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) ) ),
    inference(transitivity,[status(thm)],[148,146]) ).

tff(150,plain,
    ^ [C: $i,D: $i] :
      rewrite(
        ( ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ( ic(C)
            & ic(D)
            & ! [X: $i] :
                ( ~ icext(C,X)
                | icext(D,X) ) ) )
      <=> ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ~ ( ~ ic(D)
              | ~ ic(C)
              | ~ ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(151,plain,
    ( ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ( ic(C)
          & ic(D)
          & ! [X: $i] :
              ( ~ icext(C,X)
              | icext(D,X) ) ) )
  <=> ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ~ ( ~ ic(D)
            | ~ ic(C)
            | ~ ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) ) ),
    inference(quant_intro,[status(thm)],[150]) ).

tff(152,plain,
    ( ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ( ic(C)
          & ic(D)
          & ! [X: $i] :
              ( ~ icext(C,X)
              | icext(D,X) ) ) )
  <=> ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ( ic(C)
          & ic(D)
          & ! [X: $i] :
              ( ~ icext(C,X)
              | icext(D,X) ) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(153,plain,
    ^ [C: $i,D: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              quant_intro(
                proof_bind(
                  ^ [X: $i] :
                    rewrite(
                      ( ( icext(C,X)
                       => icext(D,X) )
                    <=> ( ~ icext(C,X)
                        | icext(D,X) ) ))),
                ( ! [X: $i] :
                    ( icext(C,X)
                   => icext(D,X) )
              <=> ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) )),
              ( ( ic(C)
                & ic(D)
                & ! [X: $i] :
                    ( icext(C,X)
                   => icext(D,X) ) )
            <=> ( ic(C)
                & ic(D)
                & ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) )),
            rewrite(
              ( ( ic(C)
                & ic(D)
                & ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) )
            <=> ( ic(C)
                & ic(D)
                & ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) )),
            ( ( ic(C)
              & ic(D)
              & ! [X: $i] :
                  ( icext(C,X)
                 => icext(D,X) ) )
          <=> ( ic(C)
              & ic(D)
              & ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) )),
          ( ( iext(uri_rdfs_subClassOf,C,D)
           => ( ic(C)
              & ic(D)
              & ! [X: $i] :
                  ( icext(C,X)
                 => icext(D,X) ) ) )
        <=> ( iext(uri_rdfs_subClassOf,C,D)
           => ( ic(C)
              & ic(D)
              & ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) ) )),
        rewrite(
          ( ( iext(uri_rdfs_subClassOf,C,D)
           => ( ic(C)
              & ic(D)
              & ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) )
        <=> ( ~ iext(uri_rdfs_subClassOf,C,D)
            | ( ic(C)
              & ic(D)
              & ! [X: $i] :
                  ( ~ icext(C,X)
                  | icext(D,X) ) ) ) )),
        ( ( iext(uri_rdfs_subClassOf,C,D)
         => ( ic(C)
            & ic(D)
            & ! [X: $i] :
                ( icext(C,X)
               => icext(D,X) ) ) )
      <=> ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ( ic(C)
            & ic(D)
            & ! [X: $i] :
                ( ~ icext(C,X)
                | icext(D,X) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(154,plain,
    ( ! [C: $i,D: $i] :
        ( iext(uri_rdfs_subClassOf,C,D)
       => ( ic(C)
          & ic(D)
          & ! [X: $i] :
              ( icext(C,X)
             => icext(D,X) ) ) )
  <=> ! [C: $i,D: $i] :
        ( ~ iext(uri_rdfs_subClassOf,C,D)
        | ( ic(C)
          & ic(D)
          & ! [X: $i] :
              ( ~ icext(C,X)
              | icext(D,X) ) ) ) ),
    inference(quant_intro,[status(thm)],[153]) ).

tff(155,axiom,
    ! [C: $i,D: $i] :
      ( iext(uri_rdfs_subClassOf,C,D)
     => ( ic(C)
        & ic(D)
        & ! [X: $i] :
            ( icext(C,X)
           => icext(D,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_subclassof_main) ).

tff(156,plain,
    ! [C: $i,D: $i] :
      ( ~ iext(uri_rdfs_subClassOf,C,D)
      | ( ic(C)
        & ic(D)
        & ! [X: $i] :
            ( ~ icext(C,X)
            | icext(D,X) ) ) ),
    inference(modus_ponens,[status(thm)],[155,154]) ).

tff(157,plain,
    ! [C: $i,D: $i] :
      ( ~ iext(uri_rdfs_subClassOf,C,D)
      | ( ic(C)
        & ic(D)
        & ! [X: $i] :
            ( ~ icext(C,X)
            | icext(D,X) ) ) ),
    inference(modus_ponens,[status(thm)],[156,152]) ).

tff(158,plain,
    ! [C: $i,D: $i] :
      ( ~ iext(uri_rdfs_subClassOf,C,D)
      | ( ic(C)
        & ic(D)
        & ! [X: $i] :
            ( ~ icext(C,X)
            | icext(D,X) ) ) ),
    inference(skolemize,[status(sab)],[157]) ).

tff(159,plain,
    ! [C: $i,D: $i] :
      ( ~ iext(uri_rdfs_subClassOf,C,D)
      | ~ ( ~ ic(D)
          | ~ ic(C)
          | ~ ! [X: $i] :
                ( ~ icext(C,X)
                | icext(D,X) ) ) ),
    inference(modus_ponens,[status(thm)],[158,151]) ).

tff(160,plain,
    ! [C: $i,D: $i] :
      ( ~ iext(uri_rdfs_subClassOf,C,D)
      | ~ ( ~ ic(D)
          | ~ ic(C)
          | ~ ! [X: $i] :
                ( ~ icext(C,X)
                | icext(D,X) ) ) ),
    inference(modus_ponens,[status(thm)],[159,149]) ).

tff(161,plain,
    ( ( ~ ! [C: $i,D: $i] :
            ( ~ iext(uri_rdfs_subClassOf,C,D)
            | ~ ( ~ ic(D)
                | ~ ic(C)
                | ~ ! [X: $i] :
                      ( ~ icext(C,X)
                      | icext(D,X) ) ) )
      | ~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
      | ~ ( ~ ic(uri_ex_c2)
          | ~ ic(uri_ex_c1)
          | ~ ! [X: $i] :
                ( ~ icext(uri_ex_c1,X)
                | icext(uri_ex_c2,X) ) ) )
  <=> ( ~ ! [C: $i,D: $i] :
            ( ~ iext(uri_rdfs_subClassOf,C,D)
            | ~ ( ~ ic(D)
                | ~ ic(C)
                | ~ ! [X: $i] :
                      ( ~ icext(C,X)
                      | icext(D,X) ) ) )
      | ~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
      | ~ ( ~ ic(uri_ex_c2)
          | ~ ic(uri_ex_c1)
          | ~ ! [X: $i] :
                ( ~ icext(uri_ex_c1,X)
                | icext(uri_ex_c2,X) ) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(162,plain,
    ( ~ ! [C: $i,D: $i] :
          ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ~ ( ~ ic(D)
              | ~ ic(C)
              | ~ ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) )
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
    | ~ ( ~ ic(uri_ex_c2)
        | ~ ic(uri_ex_c1)
        | ~ ! [X: $i] :
              ( ~ icext(uri_ex_c1,X)
              | icext(uri_ex_c2,X) ) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(163,plain,
    ( ~ ! [C: $i,D: $i] :
          ( ~ iext(uri_rdfs_subClassOf,C,D)
          | ~ ( ~ ic(D)
              | ~ ic(C)
              | ~ ! [X: $i] :
                    ( ~ icext(C,X)
                    | icext(D,X) ) ) )
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
    | ~ ( ~ ic(uri_ex_c2)
        | ~ ic(uri_ex_c1)
        | ~ ! [X: $i] :
              ( ~ icext(uri_ex_c1,X)
              | icext(uri_ex_c2,X) ) ) ),
    inference(modus_ponens,[status(thm)],[162,161]) ).

tff(164,plain,
    ~ ( ~ ic(uri_ex_c2)
      | ~ ic(uri_ex_c1)
      | ~ ! [X: $i] :
            ( ~ icext(uri_ex_c1,X)
            | icext(uri_ex_c2,X) ) ),
    inference(unit_resolution,[status(thm)],[163,160,144]) ).

tff(165,plain,
    ( ~ ic(uri_ex_c2)
    | ~ ic(uri_ex_c1)
    | ~ ! [X: $i] :
          ( ~ icext(uri_ex_c1,X)
          | icext(uri_ex_c2,X) )
    | ! [X: $i] :
        ( ~ icext(uri_ex_c1,X)
        | icext(uri_ex_c2,X) ) ),
    inference(tautology,[status(thm)],]) ).

tff(166,plain,
    ! [X: $i] :
      ( ~ icext(uri_ex_c1,X)
      | icext(uri_ex_c2,X) ),
    inference(unit_resolution,[status(thm)],[165,164]) ).

tff(167,plain,
    ( ( ~ ! [X: $i] :
            ( ~ icext(uri_ex_c1,X)
            | icext(uri_ex_c2,X) )
      | ~ icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
      | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) )
  <=> ( ~ ! [X: $i] :
            ( ~ icext(uri_ex_c1,X)
            | icext(uri_ex_c2,X) )
      | ~ icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
      | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(168,plain,
    ( ~ ! [X: $i] :
          ( ~ icext(uri_ex_c1,X)
          | icext(uri_ex_c2,X) )
    | ~ icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
    | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(169,plain,
    ( ~ ! [X: $i] :
          ( ~ icext(uri_ex_c1,X)
          | icext(uri_ex_c2,X) )
    | ~ icext(uri_ex_c1,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p))
    | icext(uri_ex_c2,tptp_fun_Y_11(tptp_fun_X_61(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p)) ),
    inference(modus_ponens,[status(thm)],[168,167]) ).

tff(170,plain,
    $false,
    inference(unit_resolution,[status(thm)],[169,166,141,139]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWB081+1 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.11  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.31  % Computer : n010.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Sat Sep  3 20:12:27 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.15/0.31  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.31  Usage: tptp [options] [-file:]file
% 0.15/0.31    -h, -?       prints this message.
% 0.15/0.31    -smt2        print SMT-LIB2 benchmark.
% 0.15/0.31    -m, -model   generate model.
% 0.15/0.31    -p, -proof   generate proof.
% 0.15/0.31    -c, -core    generate unsat core of named formulas.
% 0.15/0.31    -st, -statistics display statistics.
% 0.15/0.31    -t:timeout   set timeout (in second).
% 0.15/0.31    -smt2status  display status in smt2 format instead of SZS.
% 0.15/0.31    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.31    -<param>:<value> configuration parameter and value.
% 0.15/0.31    -o:<output-file> file to place output in.
% 1.07/0.93  % SZS status Theorem
% 1.07/0.93  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------