TSTP Solution File: SWV293-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV293-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:20:24 EDT 2022
% Result : Unsatisfiable 1.74s 1.92s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 11 unt; 1 nHn; 16 RR)
% Number of literals : 24 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV293-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV293-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(B,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV293-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV293-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(D)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| c_in(B,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(B,D,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(D)))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV293-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_sko__usf(B,C,A),B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV293-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)
| c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg) ),
file('SWV293-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV293-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV293-2.p',unknown),
[] ).
cnf(10,plain,
c_in(c_Event_Oevent_OSays(v_sko__usf(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),v_evs),v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(hyper,[status(thm)],[9,6,8]),
[iquote('hyper,9,6,8')] ).
cnf(11,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(hyper,[status(thm)],[10,7]),
[iquote('hyper,10,7')] ).
cnf(12,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(hyper,[status(thm)],[11,4]),
[iquote('hyper,11,4')] ).
cnf(13,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(hyper,[status(thm)],[12,3]),
[iquote('hyper,12,3')] ).
cnf(14,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(hyper,[status(thm)],[13,3]),
[iquote('hyper,13,3')] ).
cnf(15,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(hyper,[status(thm)],[14,3]),
[iquote('hyper,14,3')] ).
cnf(16,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[15,5,9]),1,2]),
[iquote('hyper,15,5,9,unit_del,1,2')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV293-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n014.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 : Wed Jul 27 06:09:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.74/1.92 ----- Otter 3.3f, August 2004 -----
% 1.74/1.92 The process was started by sandbox2 on n014.cluster.edu,
% 1.74/1.92 Wed Jul 27 06:09:24 2022
% 1.74/1.92 The command was "./otter". The process ID is 19980.
% 1.74/1.92
% 1.74/1.92 set(prolog_style_variables).
% 1.74/1.92 set(auto).
% 1.74/1.92 dependent: set(auto1).
% 1.74/1.92 dependent: set(process_input).
% 1.74/1.92 dependent: clear(print_kept).
% 1.74/1.92 dependent: clear(print_new_demod).
% 1.74/1.92 dependent: clear(print_back_demod).
% 1.74/1.92 dependent: clear(print_back_sub).
% 1.74/1.92 dependent: set(control_memory).
% 1.74/1.92 dependent: assign(max_mem, 12000).
% 1.74/1.92 dependent: assign(pick_given_ratio, 4).
% 1.74/1.92 dependent: assign(stats_level, 1).
% 1.74/1.92 dependent: assign(max_seconds, 10800).
% 1.74/1.92 clear(print_given).
% 1.74/1.92
% 1.74/1.92 list(usable).
% 1.74/1.92 0 [] c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.74/1.92 0 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.74/1.92 0 [] c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.74/1.92 0 [] -c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.74/1.92 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.74/1.92 0 [] -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.74/1.92 0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.74/1.92 0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.74/1.92 0 [] -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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.74/1.92 end_of_list.
% 1.74/1.92
% 1.74/1.92 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.74/1.92
% 1.74/1.92 This is a non-Horn set without equality. The strategy will
% 1.74/1.92 be ordered hyper_res, unit deletion, and factoring, with
% 1.74/1.92 satellites in sos and with nuclei in usable.
% 1.74/1.92
% 1.74/1.92 dependent: set(hyper_res).
% 1.74/1.92 dependent: set(factor).
% 1.74/1.92 dependent: set(unit_deletion).
% 1.74/1.92
% 1.74/1.92 ------------> process usable:
% 1.74/1.92 ** KEPT (pick-wt=4): 1 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.74/1.92 ** KEPT (pick-wt=26): 2 [] -c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.74/1.92 ** KEPT (pick-wt=12): 3 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(B,c_Message_Oparts(C),tc_Message_Omsg).
% 1.74/1.92 ** KEPT (pick-wt=10): 4 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.74/1.92 ** KEPT (pick-wt=51): 5 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(D)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(B,D,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(D)))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.74/1.92 ** KEPT (pick-wt=25): 6 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OGets(B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(v_sko__usf(B,C,A),B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.74/1.92 ** KEPT (pick-wt=16): 7 [] -c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg).
% 1.74/1.92
% 1.74/1.92 ------------> process sos:
% 1.74/1.92 ** KEPT (pick-wt=25): 8 [] c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.74/1.92 ** KEPT (pick-wt=5): 9 [] c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.74/1.92
% 1.74/1.92 ======= end of input processing =======
% 1.74/1.92
% 1.74/1.92 =========== start of search ===========
% 1.74/1.92
% 1.74/1.92 -------- PROOF --------
% 1.74/1.92
% 1.74/1.92 -----> EMPTY CLAUSE at 0.00 sec ----> 16 [hyper,15,5,9,unit_del,1,2] $F.
% 1.74/1.92
% 1.74/1.92 Length of proof is 6. Level of proof is 6.
% 1.74/1.92
% 1.74/1.92 ---------------- PROOF ----------------
% 1.74/1.92 % SZS status Unsatisfiable
% 1.74/1.92 % SZS output start Refutation
% See solution above
% 1.74/1.92 ------------ end of proof -------------
% 1.74/1.92
% 1.74/1.92
% 1.74/1.92 Search stopped by max_proofs option.
% 1.74/1.92
% 1.74/1.92
% 1.74/1.92 Search stopped by max_proofs option.
% 1.74/1.92
% 1.74/1.92 ============ end of search ============
% 1.74/1.92
% 1.74/1.92 -------------- statistics -------------
% 1.74/1.92 clauses given 8
% 1.74/1.92 clauses generated 7
% 1.74/1.92 clauses kept 15
% 1.74/1.92 clauses forward subsumed 0
% 1.74/1.92 clauses back subsumed 0
% 1.74/1.92 Kbytes malloced 976
% 1.74/1.92
% 1.74/1.92 ----------- times (seconds) -----------
% 1.74/1.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.74/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.74/1.92 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.74/1.92
% 1.74/1.92 That finishes the proof of the theorem.
% 1.74/1.92
% 1.74/1.92 Process 19980 finished Wed Jul 27 06:09:26 2022
% 1.74/1.92 Otter interrupted
% 1.74/1.92 PROOF FOUND
%------------------------------------------------------------------------------