TSTP Solution File: SWV972-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWV972-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 15:25:07 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   38 (   8 unt;  15 typ;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  129 (  69   ~;  47   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :   11 (  11 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (   7   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   9 usr;   2 prp; 0-5 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-5 aty)
%            Number of variables   :   21 (  18   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(c_WellTypeRT_OWTrts_type,type,
    c_WellTypeRT_OWTrts: ( $i * $i * $i * $i * $i ) > $o ).

tff(v_sko__CHAINED__1_type,type,
    v_sko__CHAINED__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(v_h_Ha_____type,type,
    v_h_Ha____: $i ).

tff(v_es_Ha_____type,type,
    v_es_Ha____: $i ).

tff(v_Us_____type,type,
    v_Us____: $i ).

tff(v_P_type,type,
    v_P: $i ).

tff(v_E_____type,type,
    v_E____: $i ).

tff(c_List_Olist__all2_type,type,
    c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).

tff(tc_Type_Oty_type,type,
    tc_Type_Oty: $i ).

tff(c_TypeRel_Owiden_type,type,
    c_TypeRel_Owiden: ( $i * $i ) > $i ).

tff(tc_prod_type,type,
    tc_prod: ( $i * $i ) > $i ).

tff(tc_Expr_Oexp_type,type,
    tc_Expr_Oexp: $i > $i ).

tff(tc_List_Olist_type,type,
    tc_List_Olist: $i > $i ).

tff(tc_String_Ochar_type,type,
    tc_String_Ochar: $i ).

tff(v_thesis_____type,type,
    v_thesis____: $o ).

tff(1,plain,
    ( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____))
  <=> c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

tff(3,plain,
    c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty)
  <=> c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(rewrite,[status(thm)],]) ).

tff(5,axiom,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).

tff(6,plain,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    inference(modus_ponens,[status(thm)],[5,4]) ).

tff(7,plain,
    ^ [V_Us_H: $i] :
      refl(
        ( ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
          | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
      <=> ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
          | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) )),
    inference(bind,[status(th)],]) ).

tff(8,plain,
    ( ! [V_Us_H: $i] :
        ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
  <=> ! [V_Us_H: $i] :
        ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) ),
    inference(quant_intro,[status(thm)],[7]) ).

tff(9,plain,
    ( ! [V_Us_H: $i] :
        ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
  <=> ! [V_Us_H: $i] :
        ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(10,plain,
    ^ [V_Us_H: $i] :
      trans(
        monotonicity(
          iff_false(asserted(~ v_thesis____),
            ( v_thesis____
          <=> $false )),
          ( ( v_thesis____
            | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
            | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
        <=> ( $false
            | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
            | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) )),
        rewrite(
          ( ( $false
            | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
            | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
        <=> ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
            | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) )),
        ( ( v_thesis____
          | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
          | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
      <=> ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
          | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) )),
    inference(bind,[status(th)],]) ).

tff(11,plain,
    ( ! [V_Us_H: $i] :
        ( v_thesis____
        | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
  <=> ! [V_Us_H: $i] :
        ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) ),
    inference(quant_intro,[status(thm)],[10]) ).

tff(12,plain,
    ^ [V_Us_H: $i] :
      rewrite(
        ( ( v_thesis____
          | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty)
          | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H) )
      <=> ( v_thesis____
          | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
          | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) )),
    inference(bind,[status(th)],]) ).

tff(13,plain,
    ( ! [V_Us_H: $i] :
        ( v_thesis____
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty)
        | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H) )
  <=> ! [V_Us_H: $i] :
        ( v_thesis____
        | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
        | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ) ),
    inference(quant_intro,[status(thm)],[12]) ).

tff(14,axiom,
    ! [V_Us_H: $i] :
      ( v_thesis____
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).

tff(15,plain,
    ! [V_Us_H: $i] :
      ( v_thesis____
      | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(modus_ponens,[status(thm)],[14,13]) ).

tff(16,plain,
    ! [V_Us_H: $i] :
      ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(modus_ponens,[status(thm)],[15,11]) ).

tff(17,plain,
    ! [V_Us_H: $i] :
      ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(modus_ponens,[status(thm)],[16,9]) ).

tff(18,plain,
    ! [V_Us_H: $i] :
      ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(skolemize,[status(sab)],[17]) ).

tff(19,plain,
    ! [V_Us_H: $i] :
      ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(modus_ponens,[status(thm)],[18,8]) ).

tff(20,plain,
    ( ( ~ ! [V_Us_H: $i] :
            ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
            | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
      | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____))
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty) )
  <=> ( ~ ! [V_Us_H: $i] :
            ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
            | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
      | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____))
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(21,plain,
    ( ~ ! [V_Us_H: $i] :
          ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
          | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
    | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____))
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(quant_inst,[status(thm)],]) ).

tff(22,plain,
    ( ~ ! [V_Us_H: $i] :
          ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,V_Us_H)
          | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_Us_H,v_Us____,tc_Type_Oty,tc_Type_Oty) )
    | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____))
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(modus_ponens,[status(thm)],[21,20]) ).

tff(23,plain,
    $false,
    inference(unit_resolution,[status(thm)],[22,19,6,3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV972-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Sep  4 10:52:56 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 0.19/0.52  % SZS status Unsatisfiable
% 0.19/0.52  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------