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Z3---4.15.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : MGT112+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : run_E %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:24:15 AM UTC 2026

% Result   : Unsatisfiable 0.13s 0.42s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   51 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :  638 (   0 equ)
%            Maximal formula atoms :   32 (  12 avg)
%            Number of connectives :  947 ( 407   ~; 318   |; 172   &)
%                                         (  44 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   47 (  47 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  212 ( 176   !;  15   ?; 212   :)

% Comments : 
%------------------------------------------------------------------------------
tff(cnt_type,type,
    cnt: ( $i * $i * $i ) > $o ).

tff(museum_api_type,type,
    museum_api: $i ).

tff(read_type,type,
    read: $i ).

tff(bearer_type,type,
    bearer: ( $i * $i ) > $o ).

tff(museen_type,type,
    museen: $i ).

tff(disability_type,type,
    disability: $i > $o ).

tff(tgt_type,type,
    tgt: ( $i * $i ) > $o ).

tff(f2_type,type,
    f2: $i ).

tff(act_type,type,
    act: ( $i * $i ) > $o ).

tff(aer_type,type,
    aer: ( $i * $i ) > $o ).

tff(aee_type,type,
    aee: ( $i * $i ) > $o ).

tff(bibliothek_type,type,
    bibliothek: $i ).

tff(proh_type,type,
    proh: $i > $o ).

tff(db_type,type,
    db: $i ).

tff(1,plain,
    ( tgt(f2,museum_api)
  <=> tgt(f2,museum_api) ),
    inference(rewrite,[status(thm)],[]) ).

tff(2,axiom,
    tgt(f2,museum_api),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tgt_f2) ).

tff(3,plain,
    tgt(f2,museum_api),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ( act(f2,read)
  <=> act(f2,read) ),
    inference(rewrite,[status(thm)],[]) ).

tff(5,axiom,
    act(f2,read),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_f2) ).

tff(6,plain,
    act(f2,read),
    inference(modus_ponens,[status(thm)],[5,4]) ).

tff(7,plain,
    ( aer(f2,museen)
  <=> aer(f2,museen) ),
    inference(rewrite,[status(thm)],[]) ).

tff(8,axiom,
    aer(f2,museen),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aer_f2) ).

tff(9,plain,
    aer(f2,museen),
    inference(modus_ponens,[status(thm)],[8,7]) ).

tff(10,plain,
    ( aee(f2,bibliothek)
  <=> aee(f2,bibliothek) ),
    inference(rewrite,[status(thm)],[]) ).

tff(11,axiom,
    aee(f2,bibliothek),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aee_f2) ).

tff(12,plain,
    aee(f2,bibliothek),
    inference(modus_ponens,[status(thm)],[11,10]) ).

tff(13,plain,
    ( proh(f2)
  <=> proh(f2) ),
    inference(rewrite,[status(thm)],[]) ).

tff(14,axiom,
    proh(f2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',proh_f2) ).

tff(15,plain,
    proh(f2),
    inference(modus_ponens,[status(thm)],[14,13]) ).

tff(16,plain,
    ^ [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      refl(( ( ~ aee(F,X)
          | ~ proh(F)
          | ~ tgt(F,T)
          | ~ act(F,A)
          | ~ aer(F,Y)
          | ! [Db: $i] :
              ( ~ disability(Db)
              | ~ bearer(Db,Y)
              | ~ cnt(Db,A,T) ) )
      <=> ( ~ aee(F,X)
          | ~ proh(F)
          | ~ tgt(F,T)
          | ~ act(F,A)
          | ~ aer(F,Y)
          | ! [Db: $i] :
              ( ~ disability(Db)
              | ~ bearer(Db,Y)
              | ~ cnt(Db,A,T) ) ) )),
    inference(bind,[status(th)],[]) ).

tff(17,plain,
    ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ aee(F,X)
        | ~ proh(F)
        | ~ tgt(F,T)
        | ~ act(F,A)
        | ~ aer(F,Y)
        | ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,Y)
            | ~ cnt(Db,A,T) ) )
  <=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ aee(F,X)
        | ~ proh(F)
        | ~ tgt(F,T)
        | ~ act(F,A)
        | ~ aer(F,Y)
        | ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,Y)
            | ~ cnt(Db,A,T) ) ) ),
    inference(quant_intro,[status(thm)],[16]) ).

tff(18,plain,
    ^ [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      rewrite(( ( ~ aee(F,X)
          | ~ proh(F)
          | ~ tgt(F,T)
          | ~ act(F,A)
          | ~ aer(F,Y)
          | ! [Db: $i] :
              ( ~ disability(Db)
              | ~ bearer(Db,Y)
              | ~ cnt(Db,A,T) ) )
      <=> ( ~ aee(F,X)
          | ~ proh(F)
          | ~ tgt(F,T)
          | ~ act(F,A)
          | ~ aer(F,Y)
          | ! [Db: $i] :
              ( ~ disability(Db)
              | ~ bearer(Db,Y)
              | ~ cnt(Db,A,T) ) ) )),
    inference(bind,[status(th)],[]) ).

tff(19,plain,
    ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ aee(F,X)
        | ~ proh(F)
        | ~ tgt(F,T)
        | ~ act(F,A)
        | ~ aer(F,Y)
        | ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,Y)
            | ~ cnt(Db,A,T) ) )
  <=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ aee(F,X)
        | ~ proh(F)
        | ~ tgt(F,T)
        | ~ act(F,A)
        | ~ aer(F,Y)
        | ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,Y)
            | ~ cnt(Db,A,T) ) ) ),
    inference(quant_intro,[status(thm)],[18]) ).

tff(20,plain,
    ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ aee(F,X)
        | ~ proh(F)
        | ~ tgt(F,T)
        | ~ act(F,A)
        | ~ aer(F,Y)
        | ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,Y)
            | ~ cnt(Db,A,T) ) )
  <=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ aee(F,X)
        | ~ proh(F)
        | ~ tgt(F,T)
        | ~ act(F,A)
        | ~ aer(F,Y)
        | ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,Y)
            | ~ cnt(Db,A,T) ) ) ),
    inference(transitivity,[status(thm)],[19,17]) ).

tff(21,plain,
    ^ [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( proh(F)
                  & aee(F,X)
                  & aer(F,Y)
                  & act(F,A)
                  & tgt(F,T) )
              <=> ~ ( ~ aee(F,X)
                    | ~ proh(F)
                    | ~ tgt(F,T)
                    | ~ act(F,A)
                    | ~ aer(F,Y) ) )),
              ( ~ ( proh(F)
                  & aee(F,X)
                  & aer(F,Y)
                  & act(F,A)
                  & tgt(F,T) )
            <=> ~ ~ ( ~ aee(F,X)
                    | ~ proh(F)
                    | ~ tgt(F,T)
                    | ~ act(F,A)
                    | ~ aer(F,Y) ) )),
            rewrite(( ~ ~ ( ~ aee(F,X)
                    | ~ proh(F)
                    | ~ tgt(F,T)
                    | ~ act(F,A)
                    | ~ aer(F,Y) )
            <=> ( ~ aee(F,X)
                | ~ proh(F)
                | ~ tgt(F,T)
                | ~ act(F,A)
                | ~ aer(F,Y) ) )),
            ( ~ ( proh(F)
                & aee(F,X)
                & aer(F,Y)
                & act(F,A)
                & tgt(F,T) )
          <=> ( ~ aee(F,X)
              | ~ proh(F)
              | ~ tgt(F,T)
              | ~ act(F,A)
              | ~ aer(F,Y) ) )),
          quant_intro(proof_bind(^ [Db: $i] :
                trans(monotonicity(rewrite(( ( disability(Db)
                        & bearer(Db,Y)
                        & cnt(Db,A,T) )
                    <=> ~ ( ~ disability(Db)
                          | ~ bearer(Db,Y)
                          | ~ cnt(Db,A,T) ) )),
                    ( ~ ( disability(Db)
                        & bearer(Db,Y)
                        & cnt(Db,A,T) )
                  <=> ~ ~ ( ~ disability(Db)
                          | ~ bearer(Db,Y)
                          | ~ cnt(Db,A,T) ) )),
                  rewrite(( ~ ~ ( ~ disability(Db)
                          | ~ bearer(Db,Y)
                          | ~ cnt(Db,A,T) )
                  <=> ( ~ disability(Db)
                      | ~ bearer(Db,Y)
                      | ~ cnt(Db,A,T) ) )),
                  ( ~ ( disability(Db)
                      & bearer(Db,Y)
                      & cnt(Db,A,T) )
                <=> ( ~ disability(Db)
                    | ~ bearer(Db,Y)
                    | ~ cnt(Db,A,T) ) ))),
            ( ! [Db: $i] :
                ~ ( disability(Db)
                  & bearer(Db,Y)
                  & cnt(Db,A,T) )
          <=> ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) )),
          ( ( ~ ( proh(F)
                & aee(F,X)
                & aer(F,Y)
                & act(F,A)
                & tgt(F,T) )
            | ! [Db: $i] :
                ~ ( disability(Db)
                  & bearer(Db,Y)
                  & cnt(Db,A,T) ) )
        <=> ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) ) )),
        rewrite(( ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) )
        <=> ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) ) )),
        ( ( ~ ( proh(F)
              & aee(F,X)
              & aer(F,Y)
              & act(F,A)
              & tgt(F,T) )
          | ! [Db: $i] :
              ~ ( disability(Db)
                & bearer(Db,Y)
                & cnt(Db,A,T) ) )
      <=> ( ~ aee(F,X)
          | ~ proh(F)
          | ~ tgt(F,T)
          | ~ act(F,A)
          | ~ aer(F,Y)
          | ! [Db: $i] :
              ( ~ disability(Db)
              | ~ bearer(Db,Y)
              | ~ cnt(Db,A,T) ) ) )),
    inference(bind,[status(th)],[]) ).

tff(22,plain,
    ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ ( proh(F)
            & aee(F,X)
            & aer(F,Y)
            & act(F,A)
            & tgt(F,T) )
        | ! [Db: $i] :
            ~ ( disability(Db)
              & bearer(Db,Y)
              & cnt(Db,A,T) ) )
  <=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ aee(F,X)
        | ~ proh(F)
        | ~ tgt(F,T)
        | ~ act(F,A)
        | ~ aer(F,Y)
        | ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,Y)
            | ~ cnt(Db,A,T) ) ) ),
    inference(quant_intro,[status(thm)],[21]) ).

tff(23,plain,
    ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ ( proh(F)
            & aee(F,X)
            & aer(F,Y)
            & act(F,A)
            & tgt(F,T) )
        | ~ ? [Db: $i] :
              ( disability(Db)
              & bearer(Db,Y)
              & cnt(Db,A,T) ) )
  <=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ ( proh(F)
            & aee(F,X)
            & aer(F,Y)
            & act(F,A)
            & tgt(F,T) )
        | ~ ? [Db: $i] :
              ( disability(Db)
              & bearer(Db,Y)
              & cnt(Db,A,T) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(24,plain,
    ^ [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( proh(F)
                      & aee(F,X)
                      & aer(F,Y) )
                  <=> ( proh(F)
                      & aee(F,X)
                      & aer(F,Y) ) )),
                  ( ( proh(F)
                    & aee(F,X)
                    & aer(F,Y)
                    & act(F,A) )
                <=> ( proh(F)
                    & aee(F,X)
                    & aer(F,Y)
                    & act(F,A) ) )),
                rewrite(( ( proh(F)
                    & aee(F,X)
                    & aer(F,Y)
                    & act(F,A) )
                <=> ( proh(F)
                    & aee(F,X)
                    & aer(F,Y)
                    & act(F,A) ) )),
                ( ( proh(F)
                  & aee(F,X)
                  & aer(F,Y)
                  & act(F,A) )
              <=> ( proh(F)
                  & aee(F,X)
                  & aer(F,Y)
                  & act(F,A) ) )),
              ( ( proh(F)
                & aee(F,X)
                & aer(F,Y)
                & act(F,A)
                & tgt(F,T) )
            <=> ( proh(F)
                & aee(F,X)
                & aer(F,Y)
                & act(F,A)
                & tgt(F,T) ) )),
            rewrite(( ( proh(F)
                & aee(F,X)
                & aer(F,Y)
                & act(F,A)
                & tgt(F,T) )
            <=> ( proh(F)
                & aee(F,X)
                & aer(F,Y)
                & act(F,A)
                & tgt(F,T) ) )),
            ( ( proh(F)
              & aee(F,X)
              & aer(F,Y)
              & act(F,A)
              & tgt(F,T) )
          <=> ( proh(F)
              & aee(F,X)
              & aer(F,Y)
              & act(F,A)
              & tgt(F,T) ) )),
          rewrite(( ~ ? [Db: $i] :
                  ( disability(Db)
                  & bearer(Db,Y)
                  & cnt(Db,A,T) )
          <=> ~ ? [Db: $i] :
                  ( disability(Db)
                  & bearer(Db,Y)
                  & cnt(Db,A,T) ) )),
          ( ( ( proh(F)
              & aee(F,X)
              & aer(F,Y)
              & act(F,A)
              & tgt(F,T) )
           => ~ ? [Db: $i] :
                  ( disability(Db)
                  & bearer(Db,Y)
                  & cnt(Db,A,T) ) )
        <=> ( ( proh(F)
              & aee(F,X)
              & aer(F,Y)
              & act(F,A)
              & tgt(F,T) )
           => ~ ? [Db: $i] :
                  ( disability(Db)
                  & bearer(Db,Y)
                  & cnt(Db,A,T) ) ) )),
        rewrite(( ( ( proh(F)
              & aee(F,X)
              & aer(F,Y)
              & act(F,A)
              & tgt(F,T) )
           => ~ ? [Db: $i] :
                  ( disability(Db)
                  & bearer(Db,Y)
                  & cnt(Db,A,T) ) )
        <=> ( ~ ( proh(F)
                & aee(F,X)
                & aer(F,Y)
                & act(F,A)
                & tgt(F,T) )
            | ~ ? [Db: $i] :
                  ( disability(Db)
                  & bearer(Db,Y)
                  & cnt(Db,A,T) ) ) )),
        ( ( ( proh(F)
            & aee(F,X)
            & aer(F,Y)
            & act(F,A)
            & tgt(F,T) )
         => ~ ? [Db: $i] :
                ( disability(Db)
                & bearer(Db,Y)
                & cnt(Db,A,T) ) )
      <=> ( ~ ( proh(F)
              & aee(F,X)
              & aer(F,Y)
              & act(F,A)
              & tgt(F,T) )
          | ~ ? [Db: $i] :
                ( disability(Db)
                & bearer(Db,Y)
                & cnt(Db,A,T) ) ) )),
    inference(bind,[status(th)],[]) ).

tff(25,plain,
    ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ( proh(F)
          & aee(F,X)
          & aer(F,Y)
          & act(F,A)
          & tgt(F,T) )
       => ~ ? [Db: $i] :
              ( disability(Db)
              & bearer(Db,Y)
              & cnt(Db,A,T) ) )
  <=> ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
        ( ~ ( proh(F)
            & aee(F,X)
            & aer(F,Y)
            & act(F,A)
            & tgt(F,T) )
        | ~ ? [Db: $i] :
              ( disability(Db)
              & bearer(Db,Y)
              & cnt(Db,A,T) ) ) ),
    inference(quant_intro,[status(thm)],[24]) ).

tff(26,axiom,
    ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      ( ( proh(F)
        & aee(F,X)
        & aer(F,Y)
        & act(F,A)
        & tgt(F,T) )
     => ~ ? [Db: $i] :
            ( disability(Db)
            & bearer(Db,Y)
            & cnt(Db,A,T) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_disability_block) ).

tff(27,plain,
    ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      ( ~ ( proh(F)
          & aee(F,X)
          & aer(F,Y)
          & act(F,A)
          & tgt(F,T) )
      | ~ ? [Db: $i] :
            ( disability(Db)
            & bearer(Db,Y)
            & cnt(Db,A,T) ) ),
    inference(modus_ponens,[status(thm)],[26,25]) ).

tff(28,plain,
    ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      ( ~ ( proh(F)
          & aee(F,X)
          & aer(F,Y)
          & act(F,A)
          & tgt(F,T) )
      | ~ ? [Db: $i] :
            ( disability(Db)
            & bearer(Db,Y)
            & cnt(Db,A,T) ) ),
    inference(modus_ponens,[status(thm)],[27,23]) ).

tff(29,plain,
    ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      ( ~ ( proh(F)
          & aee(F,X)
          & aer(F,Y)
          & act(F,A)
          & tgt(F,T) )
      | ! [Db: $i] :
          ~ ( disability(Db)
            & bearer(Db,Y)
            & cnt(Db,A,T) ) ),
    inference(skolemize,[status(sab)],[28]) ).

tff(30,plain,
    ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      ( ~ aee(F,X)
      | ~ proh(F)
      | ~ tgt(F,T)
      | ~ act(F,A)
      | ~ aer(F,Y)
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,Y)
          | ~ cnt(Db,A,T) ) ),
    inference(modus_ponens,[status(thm)],[29,22]) ).

tff(31,plain,
    ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
      ( ~ aee(F,X)
      | ~ proh(F)
      | ~ tgt(F,T)
      | ~ act(F,A)
      | ~ aer(F,Y)
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,Y)
          | ~ cnt(Db,A,T) ) ),
    inference(modus_ponens,[status(thm)],[30,20]) ).

tff(32,plain,
    ( ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
            ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) )
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) )
      | ~ aer(f2,museen)
      | ~ act(f2,read)
      | ~ tgt(f2,museum_api)
      | ~ proh(f2)
      | ~ aee(f2,bibliothek) )
  <=> ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
            ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) )
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) )
      | ~ aer(f2,museen)
      | ~ act(f2,read)
      | ~ tgt(f2,museum_api)
      | ~ proh(f2)
      | ~ aee(f2,bibliothek) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(33,plain,
    ( ( ~ aee(f2,bibliothek)
      | ~ proh(f2)
      | ~ tgt(f2,museum_api)
      | ~ act(f2,read)
      | ~ aer(f2,museen)
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) ) )
  <=> ( ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) )
      | ~ aer(f2,museen)
      | ~ act(f2,read)
      | ~ tgt(f2,museum_api)
      | ~ proh(f2)
      | ~ aee(f2,bibliothek) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(34,plain,
    ( ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
            ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) )
      | ~ aee(f2,bibliothek)
      | ~ proh(f2)
      | ~ tgt(f2,museum_api)
      | ~ act(f2,read)
      | ~ aer(f2,museen)
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) ) )
  <=> ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
            ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) )
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) )
      | ~ aer(f2,museen)
      | ~ act(f2,read)
      | ~ tgt(f2,museum_api)
      | ~ proh(f2)
      | ~ aee(f2,bibliothek) ) ),
    inference(monotonicity,[status(thm)],[33]) ).

tff(35,plain,
    ( ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
            ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) )
      | ~ aee(f2,bibliothek)
      | ~ proh(f2)
      | ~ tgt(f2,museum_api)
      | ~ act(f2,read)
      | ~ aer(f2,museen)
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) ) )
  <=> ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
            ( ~ aee(F,X)
            | ~ proh(F)
            | ~ tgt(F,T)
            | ~ act(F,A)
            | ~ aer(F,Y)
            | ! [Db: $i] :
                ( ~ disability(Db)
                | ~ bearer(Db,Y)
                | ~ cnt(Db,A,T) ) )
      | ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) )
      | ~ aer(f2,museen)
      | ~ act(f2,read)
      | ~ tgt(f2,museum_api)
      | ~ proh(f2)
      | ~ aee(f2,bibliothek) ) ),
    inference(transitivity,[status(thm)],[34,32]) ).

tff(36,plain,
    ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
          ( ~ aee(F,X)
          | ~ proh(F)
          | ~ tgt(F,T)
          | ~ act(F,A)
          | ~ aer(F,Y)
          | ! [Db: $i] :
              ( ~ disability(Db)
              | ~ bearer(Db,Y)
              | ~ cnt(Db,A,T) ) )
    | ~ aee(f2,bibliothek)
    | ~ proh(f2)
    | ~ tgt(f2,museum_api)
    | ~ act(f2,read)
    | ~ aer(f2,museen)
    | ! [Db: $i] :
        ( ~ disability(Db)
        | ~ bearer(Db,museen)
        | ~ cnt(Db,read,museum_api) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(37,plain,
    ( ~ ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
          ( ~ aee(F,X)
          | ~ proh(F)
          | ~ tgt(F,T)
          | ~ act(F,A)
          | ~ aer(F,Y)
          | ! [Db: $i] :
              ( ~ disability(Db)
              | ~ bearer(Db,Y)
              | ~ cnt(Db,A,T) ) )
    | ! [Db: $i] :
        ( ~ disability(Db)
        | ~ bearer(Db,museen)
        | ~ cnt(Db,read,museum_api) )
    | ~ aer(f2,museen)
    | ~ act(f2,read)
    | ~ tgt(f2,museum_api)
    | ~ proh(f2)
    | ~ aee(f2,bibliothek) ),
    inference(modus_ponens,[status(thm)],[36,35]) ).

tff(38,plain,
    ! [Db: $i] :
      ( ~ disability(Db)
      | ~ bearer(Db,museen)
      | ~ cnt(Db,read,museum_api) ),
    inference(unit_resolution,[status(thm)],[37,31,15,12,9,6,3]) ).

tff(39,plain,
    ( cnt(db,read,museum_api)
  <=> cnt(db,read,museum_api) ),
    inference(rewrite,[status(thm)],[]) ).

tff(40,axiom,
    cnt(db,read,museum_api),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cnt_db) ).

tff(41,plain,
    cnt(db,read,museum_api),
    inference(modus_ponens,[status(thm)],[40,39]) ).

tff(42,plain,
    ( bearer(db,museen)
  <=> bearer(db,museen) ),
    inference(rewrite,[status(thm)],[]) ).

tff(43,axiom,
    bearer(db,museen),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bearer_db) ).

tff(44,plain,
    bearer(db,museen),
    inference(modus_ponens,[status(thm)],[43,42]) ).

tff(45,plain,
    ( disability(db)
  <=> disability(db) ),
    inference(rewrite,[status(thm)],[]) ).

tff(46,axiom,
    disability(db),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',disability_db) ).

tff(47,plain,
    disability(db),
    inference(modus_ponens,[status(thm)],[46,45]) ).

tff(48,plain,
    ( ( ~ ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,museen)
            | ~ cnt(Db,read,museum_api) )
      | ~ disability(db)
      | ~ bearer(db,museen)
      | ~ cnt(db,read,museum_api) )
  <=> ( ~ ! [Db: $i] :
            ( ~ disability(Db)
            | ~ bearer(Db,museen)
            | ~ cnt(Db,read,museum_api) )
      | ~ disability(db)
      | ~ bearer(db,museen)
      | ~ cnt(db,read,museum_api) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(49,plain,
    ( ~ ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) )
    | ~ disability(db)
    | ~ bearer(db,museen)
    | ~ cnt(db,read,museum_api) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(50,plain,
    ( ~ ! [Db: $i] :
          ( ~ disability(Db)
          | ~ bearer(Db,museen)
          | ~ cnt(Db,read,museum_api) )
    | ~ disability(db)
    | ~ bearer(db,museen)
    | ~ cnt(db,read,museum_api) ),
    inference(modus_ponens,[status(thm)],[49,48]) ).

tff(51,plain,
    $false,
    inference(unit_resolution,[status(thm)],[50,47,44,41,38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : MGT112+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.03  % Command    : run_E %s %d THM
% 0.08/0.36  % Computer : n011.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit   : 300
% 0.08/0.36  % WCLimit    : 300
% 0.08/0.36  % DateTime   : Mon Sep  7 14:07:02 UTC 2026
% 0.13/0.36  % CPUTime    : 
% 0.13/0.42  % SZS status Unsatisfiable
% 0.13/0.42  % SZS output start Proof
% See solution above
% 0.13/0.43  % E exiting
%------------------------------------------------------------------------------