TSTP Solution File: SWV331-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:20:30 EDT 2022
% Result : Unsatisfiable 1.62s 1.86s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('SWV331-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)
| c_in(A,c_Message_OkeysFor(C),tc_nat) ),
file('SWV331-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))),tc_nat)
| ~ c_in(A,c_Message_OsymKeys,tc_nat)
| ~ c_in(B,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(A),c_Event_Oused(B),tc_Message_Omsg) ),
file('SWV331-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV331-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('SWV331-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('SWV331-2.p',unknown),
[] ).
cnf(7,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(hyper,[status(thm)],[6,2,5]),
[iquote('hyper,6,2,5')] ).
cnf(8,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(hyper,[status(thm)],[7,3,5,4]),
[iquote('hyper,7,3,5,4')] ).
cnf(9,plain,
$false,
inference(binary,[status(thm)],[8,1]),
[iquote('binary,8.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.11/0.32 % Computer : n003.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 : Wed Jul 27 06:07:11 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.62/1.86 ----- Otter 3.3f, August 2004 -----
% 1.62/1.86 The process was started by sandbox on n003.cluster.edu,
% 1.62/1.86 Wed Jul 27 06:07:11 2022
% 1.62/1.86 The command was "./otter". The process ID is 15706.
% 1.62/1.86
% 1.62/1.86 set(prolog_style_variables).
% 1.62/1.86 set(auto).
% 1.62/1.86 dependent: set(auto1).
% 1.62/1.86 dependent: set(process_input).
% 1.62/1.86 dependent: clear(print_kept).
% 1.62/1.86 dependent: clear(print_new_demod).
% 1.62/1.86 dependent: clear(print_back_demod).
% 1.62/1.86 dependent: clear(print_back_sub).
% 1.62/1.86 dependent: set(control_memory).
% 1.62/1.86 dependent: assign(max_mem, 12000).
% 1.62/1.86 dependent: assign(pick_given_ratio, 4).
% 1.62/1.86 dependent: assign(stats_level, 1).
% 1.62/1.86 dependent: assign(max_seconds, 10800).
% 1.62/1.86 clear(print_given).
% 1.62/1.86
% 1.62/1.86 list(usable).
% 1.62/1.86 0 [] c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.62/1.86 0 [] -c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg).
% 1.62/1.86 0 [] c_in(v_K,c_Message_OsymKeys,tc_nat).
% 1.62/1.86 0 [] c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).
% 1.62/1.86 0 [] -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)|c_in(V_K,c_Message_OkeysFor(V_H),tc_nat).
% 1.62/1.86 0 [] -c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)| -c_in(V_K,c_Message_OsymKeys,tc_nat)| -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OKey(V_K),c_Event_Oused(V_evs),tc_Message_Omsg).
% 1.62/1.86 end_of_list.
% 1.62/1.86
% 1.62/1.86 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.62/1.86
% 1.62/1.86 This is a Horn set without equality. The strategy will
% 1.62/1.86 be hyperresolution, with satellites in sos and nuclei
% 1.62/1.86 in usable.
% 1.62/1.86
% 1.62/1.86 dependent: set(hyper_res).
% 1.62/1.86 dependent: clear(order_hyper).
% 1.62/1.86
% 1.62/1.86 ------------> process usable:
% 1.62/1.86 ** KEPT (pick-wt=6): 1 [] -c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg).
% 1.62/1.86 ** KEPT (pick-wt=15): 2 [] -c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)|c_in(A,c_Message_OkeysFor(C),tc_nat).
% 1.62/1.86 ** KEPT (pick-wt=23): 3 [] -c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))),tc_nat)| -c_in(A,c_Message_OsymKeys,tc_nat)| -c_in(B,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OKey(A),c_Event_Oused(B),tc_Message_Omsg).
% 1.62/1.86
% 1.62/1.86 ------------> process sos:
% 1.62/1.86 ** KEPT (pick-wt=5): 4 [] c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.62/1.86 ** KEPT (pick-wt=4): 5 [] c_in(v_K,c_Message_OsymKeys,tc_nat).
% 1.62/1.86 ** KEPT (pick-wt=10): 6 [] c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).
% 1.62/1.86
% 1.62/1.86 ======= end of input processing =======
% 1.62/1.86
% 1.62/1.86 =========== start of search ===========
% 1.62/1.86
% 1.62/1.86 -------- PROOF --------
% 1.62/1.86
% 1.62/1.86 ----> UNIT CONFLICT at 0.00 sec ----> 9 [binary,8.1,1.1] $F.
% 1.62/1.86
% 1.62/1.86 Length of proof is 2. Level of proof is 2.
% 1.62/1.86
% 1.62/1.86 ---------------- PROOF ----------------
% 1.62/1.86 % SZS status Unsatisfiable
% 1.62/1.86 % SZS output start Refutation
% See solution above
% 1.62/1.86 ------------ end of proof -------------
% 1.62/1.86
% 1.62/1.86
% 1.62/1.86 Search stopped by max_proofs option.
% 1.62/1.86
% 1.62/1.86
% 1.62/1.86 Search stopped by max_proofs option.
% 1.62/1.86
% 1.62/1.86 ============ end of search ============
% 1.62/1.86
% 1.62/1.86 -------------- statistics -------------
% 1.62/1.86 clauses given 4
% 1.62/1.87 clauses generated 2
% 1.62/1.87 clauses kept 8
% 1.62/1.87 clauses forward subsumed 0
% 1.62/1.87 clauses back subsumed 0
% 1.62/1.87 Kbytes malloced 976
% 1.62/1.87
% 1.62/1.87 ----------- times (seconds) -----------
% 1.62/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.62/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.62/1.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.62/1.87
% 1.62/1.87 That finishes the proof of the theorem.
% 1.62/1.87
% 1.62/1.87 Process 15706 finished Wed Jul 27 06:07:13 2022
% 1.62/1.87 Otter interrupted
% 1.62/1.87 PROOF FOUND
%------------------------------------------------------------------------------