TSTP Solution File: SWV286-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV286-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:20:23 EDT 2022
% Result : Unsatisfiable 1.70s 1.93s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 10 ( 8 unt; 2 nHn; 10 RR)
% Number of literals : 17 ( 0 equ; 8 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-5 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(C,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OAgent(F)))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(C,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(F),c_Message_Omsg_OMPair(v_sko__u8o(C,F,E,D,A),c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV286-2.p',unknown),
[] ).
cnf(2,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(B,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(v_sko__vEb(D,B,C,F,A),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OAgent(B)))))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV286-2.p',unknown),
[] ).
cnf(3,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV286-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV286-2.p',unknown),
[] ).
cnf(5,axiom,
~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(B,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('SWV286-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV286-2.p',unknown),
[] ).
cnf(7,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('SWV286-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV286-2.p',unknown),
[] ).
cnf(9,plain,
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_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7,1,8,6]),3]),
[iquote('hyper,7,1,8,6,unit_del,3')] ).
cnf(10,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[9,2,8]),4,5]),
[iquote('hyper,9,2,8,unit_del,4,5')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWV286-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jul 27 05:47:03 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.70/1.92 ----- Otter 3.3f, August 2004 -----
% 1.70/1.92 The process was started by sandbox on n017.cluster.edu,
% 1.70/1.92 Wed Jul 27 05:47:03 2022
% 1.70/1.92 The command was "./otter". The process ID is 29055.
% 1.70/1.92
% 1.70/1.92 set(prolog_style_variables).
% 1.70/1.92 set(auto).
% 1.70/1.92 dependent: set(auto1).
% 1.70/1.92 dependent: set(process_input).
% 1.70/1.92 dependent: clear(print_kept).
% 1.70/1.92 dependent: clear(print_new_demod).
% 1.70/1.92 dependent: clear(print_back_demod).
% 1.70/1.92 dependent: clear(print_back_sub).
% 1.70/1.92 dependent: set(control_memory).
% 1.70/1.92 dependent: assign(max_mem, 12000).
% 1.70/1.92 dependent: assign(pick_given_ratio, 4).
% 1.70/1.92 dependent: assign(stats_level, 1).
% 1.70/1.92 dependent: assign(max_seconds, 10800).
% 1.70/1.92 clear(print_given).
% 1.70/1.92
% 1.70/1.92 list(usable).
% 1.70/1.92 0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -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)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)|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_sko__u8o(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.92 0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -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)|c_in(V_B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(V_B,c_Message_Oagent_OServer,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_OMPair(v_sko__vEb(V_A,V_B,V_NA,V_NB,V_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,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).
% 1.70/1.92 0 [] c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.92 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).
% 1.70/1.92 0 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.70/1.92 0 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.70/1.92 0 [] c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.70/1.92 0 [] -c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(V_V,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,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).
% 1.70/1.92 end_of_list.
% 1.70/1.92
% 1.70/1.92 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.70/1.92
% 1.70/1.92 This is a non-Horn set without equality. The strategy will
% 1.70/1.92 be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.92 satellites in sos and with nuclei in usable.
% 1.70/1.92
% 1.70/1.92 dependent: set(hyper_res).
% 1.70/1.93 dependent: set(factor).
% 1.70/1.93 dependent: set(unit_deletion).
% 1.70/1.93
% 1.70/1.93 ------------> process usable:
% 1.70/1.93 ** KEPT (pick-wt=82): 1 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(C,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OAgent(F)))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|c_in(C,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(F),c_Message_Omsg_OMPair(v_sko__u8o(C,F,E,D,A),c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.93 ** KEPT (pick-wt=69): 2 [] -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(B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(v_sko__vEb(D,B,C,F,A),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OAgent(B)))))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.93 ** KEPT (pick-wt=4): 3 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.70/1.93 ** KEPT (pick-wt=4): 4 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.70/1.93 ** KEPT (pick-wt=30): 5 [] -c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(B,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).
% 1.70/1.93
% 1.70/1.93 ------------> process sos:
% 1.70/1.93 ** KEPT (pick-wt=17): 6 [] c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.93 ** KEPT (pick-wt=26): 7 [] 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).
% 1.70/1.93 ** KEPT (pick-wt=5): 8 [] c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.70/1.93
% 1.70/1.93 ======= end of input processing =======
% 1.70/1.93
% 1.70/1.93 =========== start of search ===========
% 1.70/1.93
% 1.70/1.93 -------- PROOF --------
% 1.70/1.93
% 1.70/1.93 -----> EMPTY CLAUSE at 0.00 sec ----> 10 [hyper,9,2,8,unit_del,4,5] $F.
% 1.70/1.93
% 1.70/1.93 Length of proof is 1. Level of proof is 1.
% 1.70/1.93
% 1.70/1.93 ---------------- PROOF ----------------
% 1.70/1.93 % SZS status Unsatisfiable
% 1.70/1.93 % SZS output start Refutation
% See solution above
% 1.70/1.93 ------------ end of proof -------------
% 1.70/1.93
% 1.70/1.93
% 1.70/1.93 Search stopped by max_proofs option.
% 1.70/1.93
% 1.70/1.93
% 1.70/1.93 Search stopped by max_proofs option.
% 1.70/1.93
% 1.70/1.93 ============ end of search ============
% 1.70/1.93
% 1.70/1.93 -------------- statistics -------------
% 1.70/1.93 clauses given 4
% 1.70/1.93 clauses generated 2
% 1.70/1.93 clauses kept 9
% 1.70/1.93 clauses forward subsumed 0
% 1.70/1.93 clauses back subsumed 0
% 1.70/1.93 Kbytes malloced 976
% 1.70/1.93
% 1.70/1.93 ----------- times (seconds) -----------
% 1.70/1.93 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.93 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.70/1.93
% 1.70/1.93 That finishes the proof of the theorem.
% 1.70/1.93
% 1.70/1.93 Process 29055 finished Wed Jul 27 05:47:04 2022
% 1.70/1.93 Otter interrupted
% 1.70/1.93 PROOF FOUND
%------------------------------------------------------------------------------