TSTP Solution File: SWB019+2 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWB019+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n021.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 08:31:50 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   61 (  13 unt;  14 typ;   0 def)
%            Number of atoms       :  540 (   0 equ)
%            Maximal formula atoms :   20 (  11 avg)
%            Number of connectives : 1022 ( 549   ~; 344   |;  95   &)
%                                         (  34 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   20 (  20 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   5   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  182 ( 170   !;   0   ?; 182   :)

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

tff(uri_skos_prefLabel_type,type,
    uri_skos_prefLabel: $i ).

tff(uri_skos_altLabel_type,type,
    uri_skos_altLabel: $i ).

tff(ip_type,type,
    ip: $i > $o ).

tff(uri_owl_propertyDisjointWith_type,type,
    uri_owl_propertyDisjointWith: $i ).

tff(tptp_fun_Y_0_type,type,
    tptp_fun_Y_0: ( $i * $i ) > $i ).

tff(tptp_fun_X_1_type,type,
    tptp_fun_X_1: ( $i * $i ) > $i ).

tff(uri_rdfs_label_type,type,
    uri_rdfs_label: $i ).

tff(uri_rdfs_subPropertyOf_type,type,
    uri_rdfs_subPropertyOf: $i ).

tff(uri_owl_AnnotationProperty_type,type,
    uri_owl_AnnotationProperty: $i ).

tff(uri_rdf_type_type,type,
    uri_rdf_type: $i ).

tff(literal_plain_type,type,
    literal_plain: $i > $i ).

tff(dat_str_foo_type,type,
    dat_str_foo: $i ).

tff(uri_ex_foo_type,type,
    uri_ex_foo: $i ).

tff(1,plain,
    ^ [P1: $i,P2: $i] :
      rewrite(
        ( ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ( ~ ip(P1)
                    | ~ ip(P2)
                    | ~ ! [X: $i,Y: $i] :
                          ( ~ iext(P2,X,Y)
                          | ~ iext(P1,X,Y) ) ) )
            | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
      <=> ~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
            | ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ( ~ ip(P1)
                    | ~ ip(P2)
                    | ~ ! [X: $i,Y: $i] :
                          ( ~ iext(P2,X,Y)
                          | ~ iext(P1,X,Y) ) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(2,plain,
    ( ! [P1: $i,P2: $i] :
        ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
          | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
  <=> ! [P1: $i,P2: $i] :
        ~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
          | ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) ) ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ^ [P1: $i,P2: $i] :
      refl(
        ( ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ( ~ ip(P1)
                    | ~ ip(P2)
                    | ~ ! [X: $i,Y: $i] :
                          ( ~ iext(P2,X,Y)
                          | ~ iext(P1,X,Y) ) ) )
            | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
      <=> ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ( ~ ip(P1)
                    | ~ ip(P2)
                    | ~ ! [X: $i,Y: $i] :
                          ( ~ iext(P2,X,Y)
                          | ~ iext(P1,X,Y) ) ) )
            | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(4,plain,
    ( ! [P1: $i,P2: $i] :
        ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
          | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
  <=> ! [P1: $i,P2: $i] :
        ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
          | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
    inference(quant_intro,[status(thm)],[3]) ).

tff(5,plain,
    ^ [P1: $i,P2: $i] :
      rewrite(
        ( ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ( ~ ip(P1)
                    | ~ ip(P2)
                    | ~ ! [X: $i,Y: $i] :
                          ( ~ iext(P2,X,Y)
                          | ~ iext(P1,X,Y) ) ) )
            | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
      <=> ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ( ~ ip(P1)
                    | ~ ip(P2)
                    | ~ ! [X: $i,Y: $i] :
                          ( ~ iext(P2,X,Y)
                          | ~ iext(P1,X,Y) ) ) )
            | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(6,plain,
    ( ! [P1: $i,P2: $i] :
        ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
          | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
  <=> ! [P1: $i,P2: $i] :
        ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
          | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
    inference(quant_intro,[status(thm)],[5]) ).

tff(7,plain,
    ( ! [P1: $i,P2: $i] :
        ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
          | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
  <=> ! [P1: $i,P2: $i] :
        ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
          | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
    inference(transitivity,[status(thm)],[6,4]) ).

tff(8,plain,
    ^ [P1: $i,P2: $i] :
      trans(
        monotonicity(
          rewrite(
            ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ( ip(P1)
                & ip(P2)
                & ! [X: $i,Y: $i] :
                    ~ ( iext(P1,X,Y)
                      & iext(P2,X,Y) ) ) )
          <=> ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) ) )),
          trans(
            monotonicity(
              rewrite(
                ( ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) )
              <=> ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )),
              ( ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
            <=> ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )),
            rewrite(
              ( ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
            <=> ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )),
            ( ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
          <=> ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )),
          ( ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ( ip(P1)
                & ip(P2)
                & ! [X: $i,Y: $i] :
                    ~ ( iext(P1,X,Y)
                      & iext(P2,X,Y) ) ) )
            & ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
        <=> ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
            & ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
        rewrite(
          ( ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
            & ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
        <=> ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                  | ~ ( ~ ip(P1)
                      | ~ ip(P2)
                      | ~ ! [X: $i,Y: $i] :
                            ( ~ iext(P2,X,Y)
                            | ~ iext(P1,X,Y) ) ) )
              | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                  | ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                      | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
        ( ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
            | ( ip(P1)
              & ip(P2)
              & ! [X: $i,Y: $i] :
                  ~ ( iext(P1,X,Y)
                    & iext(P2,X,Y) ) ) )
          & ( iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ip(P1)
            | ~ ip(P2)
            | ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
              & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
      <=> ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ( ~ ip(P1)
                    | ~ ip(P2)
                    | ~ ! [X: $i,Y: $i] :
                          ( ~ iext(P2,X,Y)
                          | ~ iext(P1,X,Y) ) ) )
            | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(9,plain,
    ( ! [P1: $i,P2: $i] :
        ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
          | ( ip(P1)
            & ip(P2)
            & ! [X: $i,Y: $i] :
                ~ ( iext(P1,X,Y)
                  & iext(P2,X,Y) ) ) )
        & ( iext(uri_owl_propertyDisjointWith,P1,P2)
          | ~ ip(P1)
          | ~ ip(P2)
          | ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
            & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
  <=> ! [P1: $i,P2: $i] :
        ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ( ~ ip(P1)
                  | ~ ip(P2)
                  | ~ ! [X: $i,Y: $i] :
                        ( ~ iext(P2,X,Y)
                        | ~ iext(P1,X,Y) ) ) )
          | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
              | ~ ip(P1)
              | ~ ip(P2)
              | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
    inference(quant_intro,[status(thm)],[8]) ).

tff(10,plain,
    ^ [P1: $i,P2: $i] :
      rewrite(
        ( ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
            | ( ip(P1)
              & ip(P2)
              & ! [X: $i,Y: $i] :
                  ~ ( iext(P1,X,Y)
                    & iext(P2,X,Y) ) ) )
          & ( iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ip(P1)
            | ~ ip(P2)
            | ~ ~ ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                  & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
      <=> ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
            | ( ip(P1)
              & ip(P2)
              & ! [X: $i,Y: $i] :
                  ~ ( iext(P1,X,Y)
                    & iext(P2,X,Y) ) ) )
          & ( iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ip(P1)
            | ~ ip(P2)
            | ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
              & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(11,plain,
    ( ! [P1: $i,P2: $i] :
        ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
          | ( ip(P1)
            & ip(P2)
            & ! [X: $i,Y: $i] :
                ~ ( iext(P1,X,Y)
                  & iext(P2,X,Y) ) ) )
        & ( iext(uri_owl_propertyDisjointWith,P1,P2)
          | ~ ip(P1)
          | ~ ip(P2)
          | ~ ~ ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
  <=> ! [P1: $i,P2: $i] :
        ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
          | ( ip(P1)
            & ip(P2)
            & ! [X: $i,Y: $i] :
                ~ ( iext(P1,X,Y)
                  & iext(P2,X,Y) ) ) )
        & ( iext(uri_owl_propertyDisjointWith,P1,P2)
          | ~ ip(P1)
          | ~ ip(P2)
          | ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
            & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
    inference(quant_intro,[status(thm)],[10]) ).

tff(12,plain,
    ( ! [P1: $i,P2: $i] :
        ( iext(uri_owl_propertyDisjointWith,P1,P2)
      <=> ( ip(P1)
          & ip(P2)
          & ! [X: $i,Y: $i] :
              ~ ( iext(P1,X,Y)
                & iext(P2,X,Y) ) ) )
  <=> ! [P1: $i,P2: $i] :
        ( iext(uri_owl_propertyDisjointWith,P1,P2)
      <=> ( ip(P1)
          & ip(P2)
          & ! [X: $i,Y: $i] :
              ~ ( iext(P1,X,Y)
                & iext(P2,X,Y) ) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(13,plain,
    ^ [P1: $i,P2: $i] :
      rewrite(
        ( ( iext(uri_owl_propertyDisjointWith,P1,P2)
        <=> ( ip(P1)
            & ip(P2)
            & ! [X: $i,Y: $i] :
                ~ ( iext(P1,X,Y)
                  & iext(P2,X,Y) ) ) )
      <=> ( iext(uri_owl_propertyDisjointWith,P1,P2)
        <=> ( ip(P1)
            & ip(P2)
            & ! [X: $i,Y: $i] :
                ~ ( iext(P1,X,Y)
                  & iext(P2,X,Y) ) ) ) )),
    inference(bind,[status(th)],]) ).

tff(14,plain,
    ( ! [P1: $i,P2: $i] :
        ( iext(uri_owl_propertyDisjointWith,P1,P2)
      <=> ( ip(P1)
          & ip(P2)
          & ! [X: $i,Y: $i] :
              ~ ( iext(P1,X,Y)
                & iext(P2,X,Y) ) ) )
  <=> ! [P1: $i,P2: $i] :
        ( iext(uri_owl_propertyDisjointWith,P1,P2)
      <=> ( ip(P1)
          & ip(P2)
          & ! [X: $i,Y: $i] :
              ~ ( iext(P1,X,Y)
                & iext(P2,X,Y) ) ) ) ),
    inference(quant_intro,[status(thm)],[13]) ).

tff(15,axiom,
    ! [P1: $i,P2: $i] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ip(P1)
        & ip(P2)
        & ! [X: $i,Y: $i] :
            ~ ( iext(P1,X,Y)
              & iext(P2,X,Y) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

tff(16,plain,
    ! [P1: $i,P2: $i] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ip(P1)
        & ip(P2)
        & ! [X: $i,Y: $i] :
            ~ ( iext(P1,X,Y)
              & iext(P2,X,Y) ) ) ),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    ! [P1: $i,P2: $i] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ip(P1)
        & ip(P2)
        & ! [X: $i,Y: $i] :
            ~ ( iext(P1,X,Y)
              & iext(P2,X,Y) ) ) ),
    inference(modus_ponens,[status(thm)],[16,12]) ).

tff(18,plain,
    ! [P1: $i,P2: $i] :
      ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
        | ( ip(P1)
          & ip(P2)
          & ! [X: $i,Y: $i] :
              ~ ( iext(P1,X,Y)
                & iext(P2,X,Y) ) ) )
      & ( iext(uri_owl_propertyDisjointWith,P1,P2)
        | ~ ip(P1)
        | ~ ip(P2)
        | ~ ~ ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
              & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ),
    inference(skolemize,[status(sab)],[17]) ).

tff(19,plain,
    ! [P1: $i,P2: $i] :
      ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
        | ( ip(P1)
          & ip(P2)
          & ! [X: $i,Y: $i] :
              ~ ( iext(P1,X,Y)
                & iext(P2,X,Y) ) ) )
      & ( iext(uri_owl_propertyDisjointWith,P1,P2)
        | ~ ip(P1)
        | ~ ip(P2)
        | ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
          & iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ),
    inference(modus_ponens,[status(thm)],[18,11]) ).

tff(20,plain,
    ! [P1: $i,P2: $i] :
      ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ( ~ ip(P1)
                | ~ ip(P2)
                | ~ ! [X: $i,Y: $i] :
                      ( ~ iext(P2,X,Y)
                      | ~ iext(P1,X,Y) ) ) )
        | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ip(P1)
            | ~ ip(P2)
            | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ),
    inference(modus_ponens,[status(thm)],[19,9]) ).

tff(21,plain,
    ! [P1: $i,P2: $i] :
      ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ( ~ ip(P1)
                | ~ ip(P2)
                | ~ ! [X: $i,Y: $i] :
                      ( ~ iext(P2,X,Y)
                      | ~ iext(P1,X,Y) ) ) )
        | ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ip(P1)
            | ~ ip(P2)
            | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ),
    inference(modus_ponens,[status(thm)],[20,7]) ).

tff(22,plain,
    ! [P1: $i,P2: $i] :
      ~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ip(P1)
            | ~ ip(P2)
            | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
        | ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
            | ~ ( ~ ip(P1)
                | ~ ip(P2)
                | ~ ! [X: $i,Y: $i] :
                      ( ~ iext(P2,X,Y)
                      | ~ iext(P1,X,Y) ) ) ) ),
    inference(modus_ponens,[status(thm)],[21,2]) ).

tff(23,plain,
    ( ~ ! [P1: $i,P2: $i] :
          ~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ip(P1)
                | ~ ip(P2)
                | ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
                    | ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
            | ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
                | ~ ( ~ ip(P1)
                    | ~ ip(P2)
                    | ~ ! [X: $i,Y: $i] :
                          ( ~ iext(P2,X,Y)
                          | ~ iext(P1,X,Y) ) ) ) )
    | ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
            | ~ ip(uri_skos_prefLabel)
            | ~ ip(uri_skos_altLabel)
            | ~ ( ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
                | ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
        | ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
            | ~ ( ~ ip(uri_skos_prefLabel)
                | ~ ip(uri_skos_altLabel)
                | ~ ! [X: $i,Y: $i] :
                      ( ~ iext(uri_skos_altLabel,X,Y)
                      | ~ iext(uri_skos_prefLabel,X,Y) ) ) ) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(24,plain,
    ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
          | ~ ip(uri_skos_prefLabel)
          | ~ ip(uri_skos_altLabel)
          | ~ ( ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
              | ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
      | ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
          | ~ ( ~ ip(uri_skos_prefLabel)
              | ~ ip(uri_skos_altLabel)
              | ~ ! [X: $i,Y: $i] :
                    ( ~ iext(uri_skos_altLabel,X,Y)
                    | ~ iext(uri_skos_prefLabel,X,Y) ) ) ) ),
    inference(unit_resolution,[status(thm)],[23,22]) ).

tff(25,plain,
    ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
        | ~ ip(uri_skos_prefLabel)
        | ~ ip(uri_skos_altLabel)
        | ~ ( ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
            | ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
    | ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
        | ~ ( ~ ip(uri_skos_prefLabel)
            | ~ ip(uri_skos_altLabel)
            | ~ ! [X: $i,Y: $i] :
                  ( ~ iext(uri_skos_altLabel,X,Y)
                  | ~ iext(uri_skos_prefLabel,X,Y) ) ) )
    | ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    | ~ ( ~ ip(uri_skos_prefLabel)
        | ~ ip(uri_skos_altLabel)
        | ~ ! [X: $i,Y: $i] :
              ( ~ iext(uri_skos_altLabel,X,Y)
              | ~ iext(uri_skos_prefLabel,X,Y) ) ) ),
    inference(tautology,[status(thm)],]) ).

tff(26,plain,
    ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    | ~ ( ~ ip(uri_skos_prefLabel)
        | ~ ip(uri_skos_altLabel)
        | ~ ! [X: $i,Y: $i] :
              ( ~ iext(uri_skos_altLabel,X,Y)
              | ~ iext(uri_skos_prefLabel,X,Y) ) ) ),
    inference(unit_resolution,[status(thm)],[25,24]) ).

tff(27,plain,
    ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
  <=> iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel) ),
    inference(rewrite,[status(thm)],]) ).

tff(28,axiom,
    ( iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_019_Disjoint_Annotation_Properties) ).

tff(29,plain,
    ( iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    inference(and_elim,[status(thm)],[28]) ).

tff(30,plain,
    ( iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel) ),
    inference(and_elim,[status(thm)],[29]) ).

tff(31,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(and_elim,[status(thm)],[30]) ).

tff(32,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(modus_ponens,[status(thm)],[31,27]) ).

tff(33,plain,
    ( ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
        | ~ ( ~ ip(uri_skos_prefLabel)
            | ~ ip(uri_skos_altLabel)
            | ~ ! [X: $i,Y: $i] :
                  ( ~ iext(uri_skos_altLabel,X,Y)
                  | ~ iext(uri_skos_prefLabel,X,Y) ) ) )
    | ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    | ~ ( ~ ip(uri_skos_prefLabel)
        | ~ ip(uri_skos_altLabel)
        | ~ ! [X: $i,Y: $i] :
              ( ~ iext(uri_skos_altLabel,X,Y)
              | ~ iext(uri_skos_prefLabel,X,Y) ) ) ),
    inference(tautology,[status(thm)],]) ).

tff(34,plain,
    ( ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
        | ~ ( ~ ip(uri_skos_prefLabel)
            | ~ ip(uri_skos_altLabel)
            | ~ ! [X: $i,Y: $i] :
                  ( ~ iext(uri_skos_altLabel,X,Y)
                  | ~ iext(uri_skos_prefLabel,X,Y) ) ) )
    | ~ ( ~ ip(uri_skos_prefLabel)
        | ~ ip(uri_skos_altLabel)
        | ~ ! [X: $i,Y: $i] :
              ( ~ iext(uri_skos_altLabel,X,Y)
              | ~ iext(uri_skos_prefLabel,X,Y) ) ) ),
    inference(unit_resolution,[status(thm)],[33,32]) ).

tff(35,plain,
    ~ ( ~ ip(uri_skos_prefLabel)
      | ~ ip(uri_skos_altLabel)
      | ~ ! [X: $i,Y: $i] :
            ( ~ iext(uri_skos_altLabel,X,Y)
            | ~ iext(uri_skos_prefLabel,X,Y) ) ),
    inference(unit_resolution,[status(thm)],[34,26]) ).

tff(36,plain,
    ( ~ ip(uri_skos_prefLabel)
    | ~ ip(uri_skos_altLabel)
    | ~ ! [X: $i,Y: $i] :
          ( ~ iext(uri_skos_altLabel,X,Y)
          | ~ iext(uri_skos_prefLabel,X,Y) )
    | ! [X: $i,Y: $i] :
        ( ~ iext(uri_skos_altLabel,X,Y)
        | ~ iext(uri_skos_prefLabel,X,Y) ) ),
    inference(tautology,[status(thm)],]) ).

tff(37,plain,
    ! [X: $i,Y: $i] :
      ( ~ iext(uri_skos_altLabel,X,Y)
      | ~ iext(uri_skos_prefLabel,X,Y) ),
    inference(unit_resolution,[status(thm)],[36,35]) ).

tff(38,plain,
    ( iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
  <=> iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    inference(rewrite,[status(thm)],]) ).

tff(39,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(and_elim,[status(thm)],[28]) ).

tff(40,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(modus_ponens,[status(thm)],[39,38]) ).

tff(41,plain,
    ( iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
  <=> iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    inference(rewrite,[status(thm)],]) ).

tff(42,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(and_elim,[status(thm)],[29]) ).

tff(43,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(modus_ponens,[status(thm)],[42,41]) ).

tff(44,plain,
    ( ( ~ ! [X: $i,Y: $i] :
            ( ~ iext(uri_skos_altLabel,X,Y)
            | ~ iext(uri_skos_prefLabel,X,Y) )
      | ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
      | ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) )
  <=> ( ~ ! [X: $i,Y: $i] :
            ( ~ iext(uri_skos_altLabel,X,Y)
            | ~ iext(uri_skos_prefLabel,X,Y) )
      | ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
      | ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(45,plain,
    ( ~ ! [X: $i,Y: $i] :
          ( ~ iext(uri_skos_altLabel,X,Y)
          | ~ iext(uri_skos_prefLabel,X,Y) )
    | ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    | ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(46,plain,
    ( ~ ! [X: $i,Y: $i] :
          ( ~ iext(uri_skos_altLabel,X,Y)
          | ~ iext(uri_skos_prefLabel,X,Y) )
    | ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    | ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    inference(modus_ponens,[status(thm)],[45,44]) ).

tff(47,plain,
    $false,
    inference(unit_resolution,[status(thm)],[46,43,40,37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWB019+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Sep  3 19:31:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 0.20/0.42  % SZS status Unsatisfiable
% 0.20/0.42  % SZS output start Proof
% See solution above
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