TSTP Solution File: SWV811-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWV811-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n001.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 15:24:35 EDT 2022

% Result   : Unsatisfiable 0.45s 0.58s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   40 (  10 unt;  14 typ;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   97 (  49   ~;  37   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   8   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   88 (  82   !;   0   ?;  88   :)

% Comments : 
%------------------------------------------------------------------------------
tff(c_in_type,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(tc_Message_Omsg_type,type,
    tc_Message_Omsg: $i ).

tff(c_Event_Oused_type,type,
    c_Event_Oused: $i > $i ).

tff(c_List_Olist_ONil_type,type,
    c_List_Olist_ONil: $i > $i ).

tff(tc_Event_Oevent_type,type,
    tc_Event_Oevent: $i ).

tff(c_Message_Omsg_OCrypt_type,type,
    c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).

tff(c_Message_Omsg_OMPair_type,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

tff(c_Message_Omsg_ONonce_type,type,
    c_Message_Omsg_ONonce: $i > $i ).

tff(v_NB_type,type,
    v_NB: $i ).

tff(v_K_type,type,
    v_K: $i ).

tff(c_List_Oset_type,type,
    c_List_Oset: ( $i * $i ) > $i ).

tff(c_Event_Oevent_OSays_type,type,
    c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).

tff(v_B_type,type,
    v_B: $i ).

tff(v_A_type,type,
    v_A: $i ).

tff(1,plain,
    ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
  <=> c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

tff(3,plain,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ^ [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
      refl(
        ( ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
          | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
      <=> ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
          | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) )),
    inference(bind,[status(th)],]) ).

tff(5,plain,
    ( ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
        ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
  <=> ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
        ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ),
    inference(quant_intro,[status(thm)],[4]) ).

tff(6,plain,
    ( ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
        ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
  <=> ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
        ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(7,axiom,
    ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
      ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).

tff(8,plain,
    ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
      ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(modus_ponens,[status(thm)],[7,6]) ).

tff(9,plain,
    ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
      ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(skolemize,[status(sab)],[8]) ).

tff(10,plain,
    ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
      ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(modus_ponens,[status(thm)],[9,5]) ).

tff(11,plain,
    ( ( ~ ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
            ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
            | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
      | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) )
  <=> ( ~ ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
            ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
            | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
      | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(12,plain,
    ( ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) )
  <=> ( ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(13,plain,
    ( ( ~ ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
            ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
            | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
      | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) )
  <=> ( ~ ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
            ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
            | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
      | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    inference(monotonicity,[status(thm)],[12]) ).

tff(14,plain,
    ( ( ~ ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
            ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
            | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
      | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) )
  <=> ( ~ ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
            ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
            | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
      | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
    inference(transitivity,[status(thm)],[13,11]) ).

tff(15,plain,
    ( ~ ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
          ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
          | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
    | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
    inference(quant_inst,[status(thm)],]) ).

tff(16,plain,
    ( ~ ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
          ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
          | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
    | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(unit_resolution,[status(thm)],[16,10,3]) ).

tff(18,plain,
    ^ [V_X: $i,V_K: $i] :
      refl(
        ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
      <=> ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) )),
    inference(bind,[status(th)],]) ).

tff(19,plain,
    ( ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
  <=> ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    inference(quant_intro,[status(thm)],[18]) ).

tff(20,plain,
    ( ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
  <=> ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    inference(rewrite,[status(thm)],]) ).

tff(21,axiom,
    ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).

tff(22,plain,
    ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(modus_ponens,[status(thm)],[21,20]) ).

tff(23,plain,
    ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(skolemize,[status(sab)],[22]) ).

tff(24,plain,
    ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    inference(modus_ponens,[status(thm)],[23,19]) ).

tff(25,plain,
    ( ~ ! [V_X: $i,V_K: $i] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    inference(quant_inst,[status(thm)],]) ).

tff(26,plain,
    $false,
    inference(unit_resolution,[status(thm)],[25,24,17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV811-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.32  % Computer : n001.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sun Sep  4 08:31:57 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.32  Usage: tptp [options] [-file:]file
% 0.11/0.32    -h, -?       prints this message.
% 0.11/0.32    -smt2        print SMT-LIB2 benchmark.
% 0.11/0.32    -m, -model   generate model.
% 0.11/0.32    -p, -proof   generate proof.
% 0.11/0.32    -c, -core    generate unsat core of named formulas.
% 0.11/0.32    -st, -statistics display statistics.
% 0.11/0.32    -t:timeout   set timeout (in second).
% 0.11/0.32    -smt2status  display status in smt2 format instead of SZS.
% 0.11/0.32    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.32    -<param>:<value> configuration parameter and value.
% 0.11/0.32    -o:<output-file> file to place output in.
% 0.45/0.58  % SZS status Unsatisfiable
% 0.45/0.58  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------