TSTP Solution File: SWV318-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV318-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:20:28 EDT 2022
% Result : Unsatisfiable 1.91s 2.08s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 26 ( 13 unt; 3 nHn; 22 RR)
% Number of literals : 40 ( 3 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-3 aty)
% Number of variables : 24 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,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('SWV318-2.p',unknown),
[] ).
cnf(2,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('SWV318-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV318-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV318-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
| c_Message_Oparts(c_insert(A,B,tc_Message_Omsg)) = c_Message_Oparts(B) ),
file('SWV318-2.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('SWV318-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg) ),
file('SWV318-2.p',unknown),
[] ).
cnf(9,axiom,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
file('SWV318-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV318-2.p',unknown),
[] ).
cnf(12,axiom,
c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A),
file('SWV318-2.p',unknown),
[] ).
cnf(14,axiom,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV318-2.p',unknown),
[] ).
cnf(15,axiom,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV318-2.p',unknown),
[] ).
cnf(16,axiom,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV318-2.p',unknown),
[] ).
cnf(19,plain,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
inference(para_from,[status(thm),theory(equality)],[12,4]),
[iquote('para_from,12.1.1,4.2.2')] ).
cnf(24,plain,
c_in(c_Event_Oevent_OSays(v_sko__usf(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),v_evs4),v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(hyper,[status(thm)],[15,6,14]),
[iquote('hyper,15,6,14')] ).
cnf(36,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[16,7]),
[iquote('hyper,16,7')] ).
cnf(215,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[24,1]),
[iquote('hyper,24,1')] ).
cnf(403,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[215,19]),
[iquote('hyper,215,19')] ).
cnf(514,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[403,2]),
[iquote('hyper,403,2')] ).
cnf(569,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[36,4]),
[iquote('hyper,36,4')] ).
cnf(630,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[514,3]),
[iquote('hyper,514,3')] ).
cnf(651,plain,
c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),
inference(hyper,[status(thm)],[630,5]),
[iquote('hyper,630,5')] ).
cnf(653,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[569]),651])]),
[iquote('back_demod,569,demod,651,factor_simp')] ).
cnf(665,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[10]),651]),653]),
[iquote('back_demod,10,demod,651,unit_del,653')] ).
cnf(688,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(hyper,[status(thm)],[653,9]),
[iquote('hyper,653,9')] ).
cnf(689,plain,
$false,
inference(binary,[status(thm)],[688,665]),
[iquote('binary,688.1,665.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV318-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 05:54:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.75/1.96 ----- Otter 3.3f, August 2004 -----
% 1.75/1.96 The process was started by sandbox2 on n022.cluster.edu,
% 1.75/1.96 Wed Jul 27 05:54:20 2022
% 1.75/1.96 The command was "./otter". The process ID is 23266.
% 1.75/1.96
% 1.75/1.96 set(prolog_style_variables).
% 1.75/1.96 set(auto).
% 1.75/1.96 dependent: set(auto1).
% 1.75/1.96 dependent: set(process_input).
% 1.75/1.96 dependent: clear(print_kept).
% 1.75/1.96 dependent: clear(print_new_demod).
% 1.75/1.96 dependent: clear(print_back_demod).
% 1.75/1.96 dependent: clear(print_back_sub).
% 1.75/1.96 dependent: set(control_memory).
% 1.75/1.96 dependent: assign(max_mem, 12000).
% 1.75/1.96 dependent: assign(pick_given_ratio, 4).
% 1.75/1.96 dependent: assign(stats_level, 1).
% 1.75/1.96 dependent: assign(max_seconds, 10800).
% 1.75/1.96 clear(print_given).
% 1.75/1.96
% 1.75/1.96 list(usable).
% 1.75/1.96 0 [] A=A.
% 1.75/1.96 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).
% 1.75/1.96 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).
% 1.75/1.96 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.75/1.96 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.75/1.96 0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 1.75/1.96 0 [] -c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)|c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg))=c_Message_Oparts(V_H).
% 1.75/1.96 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).
% 1.75/1.96 0 [] -c_in(V_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg).
% 1.75/1.96 0 [] -c_in(V_a,V_A,T_a)|c_in(V_a,c_insert(V_b,V_A,T_a),T_a).
% 1.75/1.96 0 [] c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.75/1.96 0 [] c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.75/1.96 0 [] c_in(v_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.75/1.96 0 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg).
% 1.75/1.96 0 [] c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.75/1.96 end_of_list.
% 1.75/1.96
% 1.75/1.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.75/1.96
% 1.75/1.96 This ia a non-Horn set with equality. The strategy will be
% 1.75/1.96 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.75/1.96 deletion, with positive clauses in sos and nonpositive
% 1.75/1.96 clauses in usable.
% 1.75/1.96
% 1.75/1.96 dependent: set(knuth_bendix).
% 1.75/1.96 dependent: set(anl_eq).
% 1.75/1.96 dependent: set(para_from).
% 1.75/1.96 dependent: set(para_into).
% 1.75/1.96 dependent: clear(para_from_right).
% 1.75/1.96 dependent: clear(para_into_right).
% 1.75/1.96 dependent: set(para_from_vars).
% 1.75/1.96 dependent: set(eq_units_both_ways).
% 1.75/1.96 dependent: set(dynamic_demod_all).
% 1.75/1.96 dependent: set(dynamic_demod).
% 1.75/1.96 dependent: set(order_eq).
% 1.75/1.96 dependent: set(back_demod).
% 1.75/1.96 dependent: set(lrpo).
% 1.75/1.96 dependent: set(hyper_res).
% 1.75/1.96 dependent: set(unit_deletion).
% 1.75/1.96 dependent: set(factor).
% 1.75/1.96
% 1.75/1.96 ------------> process usable:
% 1.75/1.96 ** KEPT (pick-wt=16): 1 [] -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).
% 1.75/1.96 ** KEPT (pick-wt=12): 2 [] -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).
% 1.75/1.96 ** KEPT (pick-wt=12): 3 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 1.91/2.08 ** KEPT (pick-wt=9): 4 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.91/2.08 ** KEPT (pick-wt=13): 5 [] -c_in(A,c_Message_Oparts(B),tc_Message_Omsg)|c_Message_Oparts(c_insert(A,B,tc_Message_Omsg))=c_Message_Oparts(B).
% 1.91/2.08 ** 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).
% 1.91/2.08 ** KEPT (pick-wt=12): 7 [] -c_in(A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg).
% 1.91/2.08 ** KEPT (pick-wt=11): 8 [] -c_in(A,B,C)|c_in(A,c_insert(D,B,C),C).
% 1.91/2.08 ** KEPT (pick-wt=13): 9 [] c_in(v_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.91/2.08 ** KEPT (pick-wt=16): 10 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg).
% 1.91/2.08
% 1.91/2.08 ------------> process sos:
% 1.91/2.08 ** KEPT (pick-wt=3): 11 [] A=A.
% 1.91/2.08 ** KEPT (pick-wt=6): 12 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 1.91/2.08 ---> New Demodulator: 13 [new_demod,12] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 1.91/2.08 ** KEPT (pick-wt=5): 14 [] c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.91/2.08 ** KEPT (pick-wt=20): 15 [] c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.91/2.08 ** KEPT (pick-wt=16): 16 [] c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.91/2.08 Following clause subsumed by 11 during input processing: 0 [copy,11,flip.1] A=A.
% 1.91/2.08 >>>> Starting back demodulation with 13.
% 1.91/2.08
% 1.91/2.08 ======= end of input processing =======
% 1.91/2.08
% 1.91/2.08 =========== start of search ===========
% 1.91/2.08
% 1.91/2.08
% 1.91/2.08 Resetting weight limit to 21.
% 1.91/2.08
% 1.91/2.08
% 1.91/2.08 Resetting weight limit to 21.
% 1.91/2.08
% 1.91/2.08 sos_size=456
% 1.91/2.08
% 1.91/2.08
% 1.91/2.08 Resetting weight limit to 18.
% 1.91/2.08
% 1.91/2.08
% 1.91/2.08 Resetting weight limit to 18.
% 1.91/2.08
% 1.91/2.08 sos_size=498
% 1.91/2.08
% 1.91/2.08 -------- PROOF --------
% 1.91/2.08
% 1.91/2.08 ----> UNIT CONFLICT at 0.12 sec ----> 689 [binary,688.1,665.1] $F.
% 1.91/2.08
% 1.91/2.08 Length of proof is 12. Level of proof is 8.
% 1.91/2.08
% 1.91/2.08 ---------------- PROOF ----------------
% 1.91/2.08 % SZS status Unsatisfiable
% 1.91/2.08 % SZS output start Refutation
% See solution above
% 1.91/2.08 ------------ end of proof -------------
% 1.91/2.08
% 1.91/2.08
% 1.91/2.08 Search stopped by max_proofs option.
% 1.91/2.08
% 1.91/2.08
% 1.91/2.08 Search stopped by max_proofs option.
% 1.91/2.08
% 1.91/2.08 ============ end of search ============
% 1.91/2.08
% 1.91/2.08 -------------- statistics -------------
% 1.91/2.08 clauses given 89
% 1.91/2.08 clauses generated 1728
% 1.91/2.08 clauses kept 643
% 1.91/2.08 clauses forward subsumed 204
% 1.91/2.08 clauses back subsumed 7
% 1.91/2.08 Kbytes malloced 5859
% 1.91/2.08
% 1.91/2.08 ----------- times (seconds) -----------
% 1.91/2.08 user CPU time 0.12 (0 hr, 0 min, 0 sec)
% 1.91/2.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.08 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.91/2.08
% 1.91/2.08 That finishes the proof of the theorem.
% 1.91/2.08
% 1.91/2.08 Process 23266 finished Wed Jul 27 05:54:22 2022
% 1.91/2.08 Otter interrupted
% 1.91/2.08 PROOF FOUND
%------------------------------------------------------------------------------