TSTP Solution File: SWV346-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:20:33 EDT 2022
% Result : Unsatisfiable 1.66s 1.82s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 4 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 12 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(J,K)))),L)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| J = E ),
file('SWV346-2.p',unknown),
[] ).
cnf(2,axiom,
v_na != c_Message_Omsg_ONonce(v_NA),
file('SWV346-2.p',unknown),
[] ).
cnf(3,plain,
c_Message_Omsg_ONonce(v_NA) != v_na,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,flip.1')] ).
cnf(5,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV346-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV346-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV346-2.p',unknown),
[] ).
cnf(35,plain,
c_Message_Omsg_ONonce(v_NA) = v_na,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[7,1,5,6])]),
[iquote('hyper,7,1,5,6,flip.1')] ).
cnf(37,plain,
$false,
inference(binary,[status(thm)],[35,3]),
[iquote('binary,35.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 05:57:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.66/1.82 ----- Otter 3.3f, August 2004 -----
% 1.66/1.82 The process was started by sandbox2 on n029.cluster.edu,
% 1.66/1.82 Wed Jul 27 05:57:14 2022
% 1.66/1.82 The command was "./otter". The process ID is 11222.
% 1.66/1.82
% 1.66/1.82 set(prolog_style_variables).
% 1.66/1.82 set(auto).
% 1.66/1.82 dependent: set(auto1).
% 1.66/1.82 dependent: set(process_input).
% 1.66/1.82 dependent: clear(print_kept).
% 1.66/1.82 dependent: clear(print_new_demod).
% 1.66/1.82 dependent: clear(print_back_demod).
% 1.66/1.82 dependent: clear(print_back_sub).
% 1.66/1.82 dependent: set(control_memory).
% 1.66/1.82 dependent: assign(max_mem, 12000).
% 1.66/1.82 dependent: assign(pick_given_ratio, 4).
% 1.66/1.82 dependent: assign(stats_level, 1).
% 1.66/1.82 dependent: assign(max_seconds, 10800).
% 1.66/1.82 clear(print_given).
% 1.66/1.82
% 1.66/1.82 list(usable).
% 1.66/1.82 0 [] A=A.
% 1.66/1.82 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|V_na=V_na_H.
% 1.66/1.82 0 [] c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.66/1.82 0 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 1.66/1.82 0 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 1.66/1.82 0 [] v_na!=c_Message_Omsg_ONonce(v_NA).
% 1.66/1.82 end_of_list.
% 1.66/1.82
% 1.66/1.82 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 1.66/1.82
% 1.66/1.82 This is a Horn set with equality. The strategy will be
% 1.66/1.82 Knuth-Bendix and hyper_res, with positive clauses in
% 1.66/1.82 sos and nonpositive clauses in usable.
% 1.66/1.82
% 1.66/1.82 dependent: set(knuth_bendix).
% 1.66/1.82 dependent: set(anl_eq).
% 1.66/1.82 dependent: set(para_from).
% 1.66/1.82 dependent: set(para_into).
% 1.66/1.82 dependent: clear(para_from_right).
% 1.66/1.82 dependent: clear(para_into_right).
% 1.66/1.82 dependent: set(para_from_vars).
% 1.66/1.82 dependent: set(eq_units_both_ways).
% 1.66/1.82 dependent: set(dynamic_demod_all).
% 1.66/1.82 dependent: set(dynamic_demod).
% 1.66/1.82 dependent: set(order_eq).
% 1.66/1.82 dependent: set(back_demod).
% 1.66/1.82 dependent: set(lrpo).
% 1.66/1.82 dependent: set(hyper_res).
% 1.66/1.82 dependent: clear(order_hyper).
% 1.66/1.82
% 1.66/1.82 ------------> process usable:
% 1.66/1.82 ** KEPT (pick-wt=52): 1 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(J,K)))),L)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|J=E.
% 1.66/1.82 ** KEPT (pick-wt=4): 3 [copy,2,flip.1] c_Message_Omsg_ONonce(v_NA)!=v_na.
% 1.66/1.82
% 1.66/1.82 ------------> process sos:
% 1.66/1.82 ** KEPT (pick-wt=3): 4 [] A=A.
% 1.66/1.82 ** KEPT (pick-wt=5): 5 [] c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.66/1.82 ** KEPT (pick-wt=24): 6 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 1.66/1.82 ** KEPT (pick-wt=29): 7 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 1.66/1.82 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A.
% 1.66/1.82
% 1.66/1.82 ======= end of input processing =======
% 1.66/1.82
% 1.66/1.82 =========== start of search ===========
% 1.66/1.82
% 1.66/1.82 -------- PROOF --------
% 1.66/1.82
% 1.66/1.82 ----> UNIT CONFLICT at 0.00 sec ----> 37 [binary,35.1,3.1] $F.
% 1.66/1.82
% 1.66/1.82 Length of proof is 2. Level of proof is 1.
% 1.66/1.82
% 1.66/1.82 ---------------- PROOF ----------------
% 1.66/1.82 % SZS status Unsatisfiable
% 1.66/1.82 % SZS output start Refutation
% See solution above
% 1.66/1.82 ------------ end of proof -------------
% 1.66/1.82
% 1.66/1.82
% 1.66/1.82 Search stopped by max_proofs option.
% 1.66/1.82
% 1.66/1.82
% 1.66/1.82 Search stopped by max_proofs option.
% 1.66/1.82
% 1.66/1.82 ============ end of search ============
% 1.66/1.82
% 1.66/1.82 -------------- statistics -------------
% 1.66/1.82 clauses given 4
% 1.66/1.82 clauses generated 31
% 1.66/1.82 clauses kept 34
% 1.66/1.82 clauses forward subsumed 4
% 1.66/1.82 clauses back subsumed 0
% 1.66/1.82 Kbytes malloced 1953
% 1.66/1.82
% 1.66/1.82 ----------- times (seconds) -----------
% 1.66/1.82 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.82 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.82 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.66/1.82
% 1.66/1.82 That finishes the proof of the theorem.
% 1.66/1.82
% 1.66/1.82 Process 11222 finished Wed Jul 27 05:57:16 2022
% 1.66/1.82 Otter interrupted
% 1.66/1.82 PROOF FOUND
%------------------------------------------------------------------------------