TSTP Solution File: SWV337-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV337-2 : 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 13:20:31 EDT 2022
% Result : Unsatisfiable 1.73s 1.97s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 13 unt; 1 nHn; 19 RR)
% Number of literals : 29 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-3 aty)
% Number of variables : 23 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('SWV337-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(C),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV337-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)
| c_in(B,c_Message_Oanalz(C),tc_Message_Omsg) ),
file('SWV337-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)
| c_in(A,c_Message_Oanalz(C),tc_Message_Omsg) ),
file('SWV337-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV337-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)
| c_in(B,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg) ),
file('SWV337-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(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)))),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(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)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV337-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,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,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) ),
file('SWV337-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV337-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(c_Event_Oevent_OGets(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(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV337-2.p',unknown),
[] ).
cnf(11,plain,
c_in(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(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[10,8,9]),
[iquote('hyper,10,8,9')] ).
cnf(13,plain,
c_in(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(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[11,4]),
[iquote('hyper,11,4')] ).
cnf(16,plain,
c_in(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(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[13,5]),
[iquote('hyper,13,5')] ).
cnf(17,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[16,7,9]),2]),
[iquote('hyper,16,7,9,unit_del,2')] ).
cnf(18,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[17,6,13]),
[iquote('hyper,17,6,13')] ).
cnf(21,plain,
c_in(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))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[18,3]),
[iquote('hyper,18,3')] ).
cnf(25,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[21,3]),
[iquote('hyper,21,3')] ).
cnf(29,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[25,3]),
[iquote('hyper,25,3')] ).
cnf(30,plain,
$false,
inference(binary,[status(thm)],[29,1]),
[iquote('binary,29.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV337-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 05:47:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.73/1.97 ----- Otter 3.3f, August 2004 -----
% 1.73/1.97 The process was started by sandbox2 on n017.cluster.edu,
% 1.73/1.97 Wed Jul 27 05:47:33 2022
% 1.73/1.97 The command was "./otter". The process ID is 30839.
% 1.73/1.97
% 1.73/1.97 set(prolog_style_variables).
% 1.73/1.97 set(auto).
% 1.73/1.97 dependent: set(auto1).
% 1.73/1.97 dependent: set(process_input).
% 1.73/1.97 dependent: clear(print_kept).
% 1.73/1.97 dependent: clear(print_new_demod).
% 1.73/1.97 dependent: clear(print_back_demod).
% 1.73/1.97 dependent: clear(print_back_sub).
% 1.73/1.97 dependent: set(control_memory).
% 1.73/1.97 dependent: assign(max_mem, 12000).
% 1.73/1.97 dependent: assign(pick_given_ratio, 4).
% 1.73/1.97 dependent: assign(stats_level, 1).
% 1.73/1.97 dependent: assign(max_seconds, 10800).
% 1.73/1.97 clear(print_given).
% 1.73/1.97
% 1.73/1.97 list(usable).
% 1.73/1.97 0 [] c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.73/1.97 0 [] c_in(c_Event_Oevent_OGets(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(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.73/1.97 0 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.73/1.97 0 [] -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_U,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_U),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_V),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_W),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_V),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.73/1.97 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.73/1.97 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.73/1.97 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).
% 1.73/1.97 0 [] -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.73/1.97 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(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_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(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_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.73/1.97 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,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(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.73/1.97 end_of_list.
% 1.73/1.97
% 1.73/1.97 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.73/1.97
% 1.73/1.97 This is a non-Horn set without equality. The strategy will
% 1.73/1.97 be ordered hyper_res, unit deletion, and factoring, with
% 1.73/1.97 satellites in sos and with nuclei in usable.
% 1.73/1.97
% 1.73/1.97 dependent: set(hyper_res).
% 1.73/1.97 dependent: set(factor).
% 1.73/1.97 dependent: set(unit_deletion).
% 1.73/1.97
% 1.73/1.97 ------------> process usable:
% 1.73/1.97 ** KEPT (pick-wt=8): 1 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.73/1.97 ** KEPT (pick-wt=31): 2 [] -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(C),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.73/1.97 ** KEPT (pick-wt=12): 3 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(C),tc_Message_Omsg).
% 1.73/1.97 ** KEPT (pick-wt=12): 4 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 1.73/1.97 ** KEPT (pick-wt=10): 5 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.73/1.97 ** KEPT (pick-wt=21): 6 [] -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg).
% 1.73/1.97 ** KEPT (pick-wt=56): 7 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(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)))),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(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)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.73/1.97 ** KEPT (pick-wt=20): 8 [] -c_in(A,c_Yahalom_Oyahalom,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,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg).
% 1.73/1.97
% 1.73/1.97 ------------> process sos:
% 1.73/1.97 ** KEPT (pick-wt=5): 9 [] c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.73/1.97 ** KEPT (pick-wt=23): 10 [] c_in(c_Event_Oevent_OGets(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(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.73/1.97
% 1.73/1.97 ======= end of input processing =======
% 1.73/1.97
% 1.73/1.97 =========== start of search ===========
% 1.73/1.97
% 1.73/1.97 -------- PROOF --------
% 1.73/1.97
% 1.73/1.97 ----> UNIT CONFLICT at 0.00 sec ----> 30 [binary,29.1,1.1] $F.
% 1.73/1.97
% 1.73/1.97 Length of proof is 8. Level of proof is 8.
% 1.73/1.97
% 1.73/1.97 ---------------- PROOF ----------------
% 1.73/1.97 % SZS status Unsatisfiable
% 1.73/1.97 % SZS output start Refutation
% See solution above
% 1.73/1.97 ------------ end of proof -------------
% 1.73/1.97
% 1.73/1.97
% 1.73/1.97 Search stopped by max_proofs option.
% 1.73/1.97
% 1.73/1.97
% 1.73/1.97 Search stopped by max_proofs option.
% 1.73/1.97
% 1.73/1.97 ============ end of search ============
% 1.73/1.97
% 1.73/1.97 -------------- statistics -------------
% 1.73/1.97 clauses given 18
% 1.73/1.97 clauses generated 19
% 1.73/1.97 clauses kept 29
% 1.73/1.97 clauses forward subsumed 0
% 1.73/1.97 clauses back subsumed 0
% 1.73/1.97 Kbytes malloced 976
% 1.73/1.97
% 1.73/1.97 ----------- times (seconds) -----------
% 1.73/1.97 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.97 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.97
% 1.73/1.97 That finishes the proof of the theorem.
% 1.73/1.97
% 1.73/1.97 Process 30839 finished Wed Jul 27 05:47:34 2022
% 1.73/1.98 Otter interrupted
% 1.73/1.98 PROOF FOUND
%------------------------------------------------------------------------------