TSTP Solution File: SWV321-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:20:29 EDT 2022
% Result : Unsatisfiable 1.96s 2.12s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 6 unt; 7 nHn; 16 RR)
% Number of literals : 39 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 24 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,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_evsf)),tc_Message_Omsg) ),
file('SWV321-2.p',unknown),
[] ).
cnf(2,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_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV321-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)
| c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg) ),
file('SWV321-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(c_Message_Omsg_OKey(A),c_Message_Osynth(B),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(A),B,tc_Message_Omsg) ),
file('SWV321-2.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('SWV321-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV321-2.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('SWV321-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('SWV321-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_insert(D,B,C),C) ),
file('SWV321-2.p',unknown),
[] ).
cnf(11,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV321-2.p',unknown),
[] ).
cnf(12,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_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV321-2.p',unknown),
[] ).
cnf(25,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[12,3,11]),
[iquote('hyper,12,3,11')] ).
cnf(73,plain,
( 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_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[25,8]),
[iquote('hyper,25,8')] ).
cnf(235,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[73,1])]),
[iquote('hyper,73,1,factor_simp')] ).
cnf(243,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[235,4]),
[iquote('hyper,235,4')] ).
cnf(248,plain,
( 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_evsf)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[243,5]),
[iquote('hyper,243,5')] ).
cnf(253,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[248,1])]),
[iquote('hyper,248,1,factor_simp')] ).
cnf(255,plain,
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)],[253,7]),
[iquote('hyper,253,7')] ).
cnf(258,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg),tc_Message_Omsg),
inference(hyper,[status(thm)],[255,9]),
[iquote('hyper,255,9')] ).
cnf(268,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[258,6]),
[iquote('hyper,258,6')] ).
cnf(278,plain,
$false,
inference(hyper,[status(thm)],[268,2,253]),
[iquote('hyper,268,2,253')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n011.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 05:44:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.96/2.12 ----- Otter 3.3f, August 2004 -----
% 1.96/2.12 The process was started by sandbox2 on n011.cluster.edu,
% 1.96/2.12 Wed Jul 27 05:44:40 2022
% 1.96/2.12 The command was "./otter". The process ID is 16986.
% 1.96/2.12
% 1.96/2.12 set(prolog_style_variables).
% 1.96/2.12 set(auto).
% 1.96/2.12 dependent: set(auto1).
% 1.96/2.12 dependent: set(process_input).
% 1.96/2.12 dependent: clear(print_kept).
% 1.96/2.12 dependent: clear(print_new_demod).
% 1.96/2.12 dependent: clear(print_back_demod).
% 1.96/2.12 dependent: clear(print_back_sub).
% 1.96/2.12 dependent: set(control_memory).
% 1.96/2.12 dependent: assign(max_mem, 12000).
% 1.96/2.12 dependent: assign(pick_given_ratio, 4).
% 1.96/2.12 dependent: assign(stats_level, 1).
% 1.96/2.12 dependent: assign(max_seconds, 10800).
% 1.96/2.12 clear(print_given).
% 1.96/2.12
% 1.96/2.12 list(usable).
% 1.96/2.12 0 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.96/2.12 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_evsf)),tc_Message_Omsg).
% 1.96/2.12 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_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.96/2.12 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_evsf),tc_Message_Omsg)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.96/2.12 0 [] -c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.96/2.12 0 [] -c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg).
% 1.96/2.12 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).
% 1.96/2.12 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.96/2.12 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).
% 1.96/2.12 0 [] -c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a).
% 1.96/2.12 0 [] -c_in(V_a,V_B,T_a)|c_in(V_a,c_insert(V_b,V_B,T_a),T_a).
% 1.96/2.12 end_of_list.
% 1.96/2.12
% 1.96/2.12 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.96/2.12
% 1.96/2.12 This is a non-Horn set without equality. The strategy will
% 1.96/2.12 be ordered hyper_res, unit deletion, and factoring, with
% 1.96/2.12 satellites in sos and with nuclei in usable.
% 1.96/2.12
% 1.96/2.12 dependent: set(hyper_res).
% 1.96/2.12 dependent: set(factor).
% 1.96/2.12 dependent: set(unit_deletion).
% 1.96/2.12
% 1.96/2.12 ------------> process usable:
% 1.96/2.12 ** KEPT (pick-wt=13): 1 [] 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_evsf)),tc_Message_Omsg).
% 1.96/2.12 ** KEPT (pick-wt=16): 2 [] -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_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.96/2.12 ** KEPT (pick-wt=24): 3 [] -c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg).
% 1.96/2.12 ** KEPT (pick-wt=11): 4 [] -c_in(c_Message_Omsg_OKey(A),c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(A),B,tc_Message_Omsg).
% 1.96/2.12 ** 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).
% 1.96/2.12 ** KEPT (pick-wt=9): 6 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.96/2.12 ** 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).
% 1.96/2.12 ** KEPT (pick-wt=15): 8 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.96/2.12 ** KEPT (pick-wt=11): 9 [] -c_in(A,B,C)|c_in(A,c_insert(D,B,C),C).
% 1.96/2.12
% 1.96/2.12 ------------> process sos:
% 1.96/2.12 ** KEPT (pick-wt=8): 11 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.96/2.12 ** KEPT (pick-wt=16): 12 [] 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_evsf),tc_Message_Omsg)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.96/2.12
% 1.96/2.12 ======= end of input processing =======
% 1.96/2.12
% 1.96/2.12 =========== start of search ===========
% 1.96/2.12
% 1.96/2.12 -------- PROOF --------
% 1.96/2.12
% 1.96/2.12 -----> EMPTY CLAUSE at 0.00 sec ----> 278 [hyper,268,2,253] $F.
% 1.96/2.12
% 1.96/2.12 Length of proof is 9. Level of proof is 9.
% 1.96/2.12
% 1.96/2.12 ---------------- PROOF ----------------
% 1.96/2.12 % SZS status Unsatisfiable
% 1.96/2.12 % SZS output start Refutation
% See solution above
% 1.96/2.12 ------------ end of proof -------------
% 1.96/2.12
% 1.96/2.12
% 1.96/2.12 Search stopped by max_proofs option.
% 1.96/2.12
% 1.96/2.12
% 1.96/2.12 Search stopped by max_proofs option.
% 1.96/2.12
% 1.96/2.12 ============ end of search ============
% 1.96/2.12
% 1.96/2.12 -------------- statistics -------------
% 1.96/2.12 clauses given 117
% 1.96/2.12 clauses generated 331
% 1.96/2.12 clauses kept 277
% 1.96/2.12 clauses forward subsumed 64
% 1.96/2.12 clauses back subsumed 77
% 1.96/2.12 Kbytes malloced 2929
% 1.96/2.12
% 1.96/2.12 ----------- times (seconds) -----------
% 1.96/2.12 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.96/2.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.12 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.96/2.12
% 1.96/2.12 That finishes the proof of the theorem.
% 1.96/2.12
% 1.96/2.12 Process 16986 finished Wed Jul 27 05:44:42 2022
% 1.96/2.12 Otter interrupted
% 1.96/2.12 PROOF FOUND
%------------------------------------------------------------------------------