## TSTP Solution File: SWV314-2 by Otter---3.3

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %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 : Wed Jul 27 13:20:27 EDT 2022

% Result   : Unsatisfiable 1.83s 2.04s
% Output   : Refutation 1.83s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    8 (   7 unt;   1 nHn;   8 RR)
%            Number of literals    :   13 (   0 equ;   6 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :    6 (   0 sgn)

%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV314-2.p',unknown),
[] ).

cnf(2,axiom,
file('SWV314-2.p',unknown),
[] ).

cnf(3,axiom,
file('SWV314-2.p',unknown),
[] ).

cnf(4,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(C,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(E),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(E)))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV314-2.p',unknown),
[] ).

cnf(6,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV314-2.p',unknown),
[] ).

cnf(7,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV314-2.p',unknown),
[] ).

cnf(8,axiom,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('SWV314-2.p',unknown),
[] ).

cnf(9,plain,
\$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[8,4,7,6]),3,2,1]),
[iquote('hyper,8,4,7,6,unit_del,3,2,1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 06:26:41 EDT 2022
% 0.12/0.33  % CPUTime  :
% 1.83/2.04  ----- Otter 3.3f, August 2004 -----
% 1.83/2.04  The process was started by sandbox on n015.cluster.edu,
% 1.83/2.04  Wed Jul 27 06:26:41 2022
% 1.83/2.04  The command was "./otter".  The process ID is 20857.
% 1.83/2.04
% 1.83/2.04  set(prolog_style_variables).
% 1.83/2.04  set(auto).
% 1.83/2.04     dependent: set(auto1).
% 1.83/2.04     dependent: set(process_input).
% 1.83/2.04     dependent: clear(print_kept).
% 1.83/2.04     dependent: clear(print_new_demod).
% 1.83/2.04     dependent: clear(print_back_demod).
% 1.83/2.04     dependent: clear(print_back_sub).
% 1.83/2.04     dependent: set(control_memory).
% 1.83/2.04     dependent: assign(max_mem, 12000).
% 1.83/2.04     dependent: assign(pick_given_ratio, 4).
% 1.83/2.04     dependent: assign(stats_level, 1).
% 1.83/2.04     dependent: assign(max_seconds, 10800).
% 1.83/2.04  clear(print_given).
% 1.83/2.04
% 1.83/2.04  list(usable).
% 1.83/2.04  0 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.83/2.04  0 [] -c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.83/2.04  0 [] c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.83/2.04  0 [] c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).
% 1.83/2.04  end_of_list.
% 1.83/2.04
% 1.83/2.04  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.83/2.04
% 1.83/2.04  This is a non-Horn set without equality.  The strategy will
% 1.83/2.04  be ordered hyper_res, unit deletion, and factoring, with
% 1.83/2.04  satellites in sos and with nuclei in usable.
% 1.83/2.04
% 1.83/2.04     dependent: set(hyper_res).
% 1.83/2.04     dependent: set(factor).
% 1.83/2.04     dependent: set(unit_deletion).
% 1.83/2.04
% 1.83/2.04  ------------> process usable:
% 1.83/2.04  ** KEPT (pick-wt=13): 1 [] -c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.83/2.04  ** KEPT (pick-wt=4): 2 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.83/2.04  ** KEPT (pick-wt=4): 3 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.83/2.04
% 1.83/2.04  ------------> process sos:
% 1.83/2.04  ** KEPT (pick-wt=25): 6 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.83/2.04  ** KEPT (pick-wt=5): 7 [] c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.83/2.04  ** KEPT (pick-wt=8): 8 [] c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).
% 1.83/2.04
% 1.83/2.04  ======= end of input processing =======
% 1.83/2.04
% 1.83/2.04  =========== start of search ===========
% 1.83/2.04
% 1.83/2.04  -------- PROOF --------
% 1.83/2.04
% 1.83/2.04  -----> EMPTY CLAUSE at   0.00 sec ----> 9 [hyper,8,4,7,6,unit_del,3,2,1] \$F.
% 1.83/2.04
% 1.83/2.04  Length of proof is 0.  Level of proof is 0.
% 1.83/2.04
% 1.83/2.04  ---------------- PROOF ----------------
% 1.83/2.04  % SZS status Unsatisfiable
% 1.83/2.04  % SZS output start Refutation
% See solution above
% 1.83/2.04  ------------ end of proof -------------
% 1.83/2.04
% 1.83/2.04
% 1.83/2.04  Search stopped by max_proofs option.
% 1.83/2.04
% 1.83/2.04
% 1.83/2.04  Search stopped by max_proofs option.
% 1.83/2.04
% 1.83/2.04  ============ end of search ============
% 1.83/2.04
% 1.83/2.04  -------------- statistics -------------
% 1.83/2.04  clauses given                  3
% 1.83/2.04  clauses generated              2
% 1.83/2.04  clauses kept                   8
% 1.83/2.04  clauses forward subsumed       0
% 1.83/2.04  clauses back subsumed          0
% 1.83/2.04  Kbytes malloced              976
% 1.83/2.04
% 1.83/2.04  ----------- times (seconds) -----------
% 1.83/2.04  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.83/2.04  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.83/2.04  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.83/2.04
% 1.83/2.04  That finishes the proof of the theorem.
% 1.83/2.04
% 1.83/2.04  Process 20857 finished Wed Jul 27 06:26:43 2022
% 1.83/2.04  Otter interrupted
% 1.83/2.04  PROOF FOUND
%------------------------------------------------------------------------------
```