TSTP Solution File: SWV335-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV335-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 1.76s 1.94s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 9 unt; 3 nHn; 15 RR)
% Number of literals : 24 ( 0 equ; 8 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 : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
file('SWV335-2.p',unknown),
[] ).
cnf(2,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_evsf)),tc_Message_Omsg),
file('SWV335-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)
| c_in(B,c_Message_Osynth(C),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg) ),
file('SWV335-2.p',unknown),
[] ).
cnf(4,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('SWV335-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg) ),
file('SWV335-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV335-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('SWV335-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV335-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('SWV335-2.p',unknown),
[] ).
cnf(11,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),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)],[10,4,9]),
[iquote('hyper,10,4,9')] ).
cnf(12,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[11,7]),2]),
[iquote('hyper,11,7,unit_del,2')] ).
cnf(13,plain,
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[12,3]),
[iquote('hyper,12,3')] ).
cnf(14,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[13,5]),1]),
[iquote('hyper,13,5,unit_del,1')] ).
cnf(16,plain,
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_evsf)),tc_Message_Omsg),
inference(hyper,[status(thm)],[14,6]),
[iquote('hyper,14,6')] ).
cnf(17,plain,
$false,
inference(binary,[status(thm)],[16,2]),
[iquote('binary,16.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV335-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 06:09:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.76/1.94 ----- Otter 3.3f, August 2004 -----
% 1.76/1.94 The process was started by sandbox2 on n014.cluster.edu,
% 1.76/1.94 Wed Jul 27 06:09:09 2022
% 1.76/1.94 The command was "./otter". The process ID is 18241.
% 1.76/1.94
% 1.76/1.94 set(prolog_style_variables).
% 1.76/1.94 set(auto).
% 1.76/1.94 dependent: set(auto1).
% 1.76/1.94 dependent: set(process_input).
% 1.76/1.94 dependent: clear(print_kept).
% 1.76/1.94 dependent: clear(print_new_demod).
% 1.76/1.94 dependent: clear(print_back_demod).
% 1.76/1.94 dependent: clear(print_back_sub).
% 1.76/1.94 dependent: set(control_memory).
% 1.76/1.94 dependent: assign(max_mem, 12000).
% 1.76/1.94 dependent: assign(pick_given_ratio, 4).
% 1.76/1.94 dependent: assign(stats_level, 1).
% 1.76/1.94 dependent: assign(max_seconds, 10800).
% 1.76/1.94 clear(print_given).
% 1.76/1.94
% 1.76/1.94 list(usable).
% 1.76/1.94 0 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.76/1.94 0 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).
% 1.76/1.94 0 [] c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.76/1.94 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_evsf)),tc_Message_Omsg).
% 1.76/1.94 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg).
% 1.76/1.94 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).
% 1.76/1.94 0 [] -c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg).
% 1.76/1.94 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).
% 1.76/1.94 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).
% 1.76/1.94 end_of_list.
% 1.76/1.94
% 1.76/1.94 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.76/1.94
% 1.76/1.94 This is a non-Horn set without equality. The strategy will
% 1.76/1.94 be ordered hyper_res, unit deletion, and factoring, with
% 1.76/1.94 satellites in sos and with nuclei in usable.
% 1.76/1.94
% 1.76/1.94 dependent: set(hyper_res).
% 1.76/1.94 dependent: set(factor).
% 1.76/1.94 dependent: set(unit_deletion).
% 1.76/1.94
% 1.76/1.94 ------------> process usable:
% 1.76/1.94 ** KEPT (pick-wt=8): 1 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).
% 1.76/1.94 ** KEPT (pick-wt=10): 2 [] -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_evsf)),tc_Message_Omsg).
% 1.76/1.94 ** KEPT (pick-wt=18): 3 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(B,c_Message_Osynth(C),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg).
% 1.76/1.94 ** KEPT (pick-wt=24): 4 [] -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).
% 1.76/1.94 ** KEPT (pick-wt=11): 5 [] -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg).
% 1.76/1.94 ** KEPT (pick-wt=10): 6 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.76/1.94 ** KEPT (pick-wt=15): 7 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.76/1.94
% 1.76/1.94 ------------> process sos:
% 1.76/1.94 ** KEPT (pick-wt=8): 9 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.76/1.94 ** KEPT (pick-wt=13): 10 [] c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.76/1.94
% 1.76/1.94 ======= end of input processing =======
% 1.76/1.94
% 1.76/1.94 =========== start of search ===========
% 1.76/1.94
% 1.76/1.94 -------- PROOF --------
% 1.76/1.94
% 1.76/1.94 ----> UNIT CONFLICT at 0.00 sec ----> 17 [binary,16.1,2.1] $F.
% 1.76/1.94
% 1.76/1.94 Length of proof is 5. Level of proof is 5.
% 1.76/1.94
% 1.76/1.94 ---------------- PROOF ----------------
% 1.76/1.94 % SZS status Unsatisfiable
% 1.76/1.94 % SZS output start Refutation
% See solution above
% 1.76/1.94 ------------ end of proof -------------
% 1.76/1.94
% 1.76/1.94
% 1.76/1.94 Search stopped by max_proofs option.
% 1.76/1.94
% 1.76/1.94
% 1.76/1.94 Search stopped by max_proofs option.
% 1.76/1.94
% 1.76/1.94 ============ end of search ============
% 1.76/1.94
% 1.76/1.94 -------------- statistics -------------
% 1.76/1.94 clauses given 6
% 1.76/1.94 clauses generated 7
% 1.76/1.94 clauses kept 16
% 1.76/1.94 clauses forward subsumed 0
% 1.76/1.94 clauses back subsumed 1
% 1.76/1.94 Kbytes malloced 976
% 1.76/1.94
% 1.76/1.94 ----------- times (seconds) -----------
% 1.76/1.94 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.94 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.76/1.94
% 1.76/1.94 That finishes the proof of the theorem.
% 1.76/1.94
% 1.76/1.94 Process 18241 finished Wed Jul 27 06:09:11 2022
% 1.76/1.94 Otter interrupted
% 1.76/1.94 PROOF FOUND
%------------------------------------------------------------------------------