TSTP Solution File: SWV338-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV338-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 13:20:32 EDT 2022
% Result : Unsatisfiable 1.75s 1.93s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 10 unt; 1 nHn; 13 RR)
% Number of literals : 20 ( 3 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)
| c_in(A,c_Event_Oused(B),tc_Message_Omsg) ),
file('SWV338-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_insert(B,C,tc_Message_Omsg))),tc_nat)
| ~ c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg)
| c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_union(C,D,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(A)),c_Message_Oparts(D),tc_Message_Omsg) ),
file('SWV338-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(A,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(A) = A ),
file('SWV338-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('SWV338-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file('SWV338-2.p',unknown),
[] ).
cnf(6,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[5]),4]),
[iquote('copy,5,unit_del,4')] ).
cnf(9,axiom,
c_union(A,A,B) = A,
file('SWV338-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('SWV338-2.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('SWV338-2.p',unknown),
[] ).
cnf(12,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('SWV338-2.p',unknown),
[] ).
cnf(14,plain,
c_Message_OinvKey(v_K) = v_K,
inference(hyper,[status(thm)],[10,3]),
[iquote('hyper,10,3')] ).
cnf(17,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[12,2,11]),9,14]),6]),
[iquote('hyper,12,2,11,demod,9,14,unit_del,6')] ).
cnf(18,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(hyper,[status(thm)],[17,1]),
[iquote('hyper,17,1')] ).
cnf(19,plain,
$false,
inference(binary,[status(thm)],[18,4]),
[iquote('binary,18.1,4.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV338-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n021.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 05:51:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.75/1.93 ----- Otter 3.3f, August 2004 -----
% 1.75/1.93 The process was started by sandbox on n021.cluster.edu,
% 1.75/1.93 Wed Jul 27 05:51:53 2022
% 1.75/1.93 The command was "./otter". The process ID is 7147.
% 1.75/1.93
% 1.75/1.93 set(prolog_style_variables).
% 1.75/1.93 set(auto).
% 1.75/1.93 dependent: set(auto1).
% 1.75/1.93 dependent: set(process_input).
% 1.75/1.93 dependent: clear(print_kept).
% 1.75/1.93 dependent: clear(print_new_demod).
% 1.75/1.93 dependent: clear(print_back_demod).
% 1.75/1.93 dependent: clear(print_back_sub).
% 1.75/1.93 dependent: set(control_memory).
% 1.75/1.93 dependent: assign(max_mem, 12000).
% 1.75/1.93 dependent: assign(pick_given_ratio, 4).
% 1.75/1.93 dependent: assign(stats_level, 1).
% 1.75/1.93 dependent: assign(max_seconds, 10800).
% 1.75/1.93 clear(print_given).
% 1.75/1.93
% 1.75/1.93 list(usable).
% 1.75/1.93 0 [] A=A.
% 1.75/1.93 0 [] -c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg).
% 1.75/1.93 0 [] -c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(V_X,V_G,tc_Message_Omsg))),tc_nat)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)|c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg))),tc_nat)|c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.75/1.93 0 [] -c_in(V_y,c_Message_OsymKeys,tc_nat)|c_Message_OinvKey(V_y)=V_y.
% 1.75/1.93 0 [] c_union(V_y,V_y,T_a)=V_y.
% 1.75/1.93 0 [] c_in(v_K,c_Message_OsymKeys,tc_nat).
% 1.75/1.93 0 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.75/1.93 0 [] -c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg).
% 1.75/1.93 0 [] c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat).
% 1.75/1.93 0 [] -c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)|c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg).
% 1.75/1.93 end_of_list.
% 1.75/1.93
% 1.75/1.93 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.75/1.93
% 1.75/1.93 This ia a non-Horn set with equality. The strategy will be
% 1.75/1.93 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.75/1.93 deletion, with positive clauses in sos and nonpositive
% 1.75/1.93 clauses in usable.
% 1.75/1.93
% 1.75/1.93 dependent: set(knuth_bendix).
% 1.75/1.93 dependent: set(anl_eq).
% 1.75/1.93 dependent: set(para_from).
% 1.75/1.93 dependent: set(para_into).
% 1.75/1.93 dependent: clear(para_from_right).
% 1.75/1.93 dependent: clear(para_into_right).
% 1.75/1.93 dependent: set(para_from_vars).
% 1.75/1.93 dependent: set(eq_units_both_ways).
% 1.75/1.93 dependent: set(dynamic_demod_all).
% 1.75/1.93 dependent: set(dynamic_demod).
% 1.75/1.93 dependent: set(order_eq).
% 1.75/1.93 dependent: set(back_demod).
% 1.75/1.93 dependent: set(lrpo).
% 1.75/1.93 dependent: set(hyper_res).
% 1.75/1.93 dependent: set(unit_deletion).
% 1.75/1.93 dependent: set(factor).
% 1.75/1.93
% 1.75/1.93 ------------> process usable:
% 1.75/1.93 ** KEPT (pick-wt=12): 1 [] -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|c_in(A,c_Event_Oused(B),tc_Message_Omsg).
% 1.75/1.93 ** KEPT (pick-wt=31): 2 [] -c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_insert(B,C,tc_Message_Omsg))),tc_nat)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg)|c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_union(C,D,tc_Message_Omsg))),tc_nat)|c_in(c_Message_Omsg_OKey(c_Message_OinvKey(A)),c_Message_Oparts(D),tc_Message_Omsg).
% 1.75/1.93 ** KEPT (pick-wt=8): 3 [] -c_in(A,c_Message_OsymKeys,tc_nat)|c_Message_OinvKey(A)=A.
% 1.75/1.93 ** KEPT (pick-wt=6): 4 [] -c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg).
% 1.75/1.93 ** KEPT (pick-wt=8): 6 [copy,5,unit_del,4] -c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat).
% 1.75/1.93
% 1.75/1.93 ------------> process sos:
% 1.75/1.93 ** KEPT (pick-wt=3): 7 [] A=A.
% 1.75/1.93 ** KEPT (pick-wt=6): 8 [] c_union(A,A,B)=A.
% 1.75/1.93 ---> New Demodulator: 9 [new_demod,8] c_union(A,A,B)=A.
% 1.75/1.93 ** KEPT (pick-wt=4): 10 [] c_in(v_K,c_Message_OsymKeys,tc_nat).
% 1.75/1.93 ** 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).
% 1.75/1.93 ** KEPT (pick-wt=11): 12 [] c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat).
% 1.75/1.93 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 1.75/1.93 >>>> Starting back demodulation with 9.
% 1.75/1.93
% 1.75/1.93 ======= end of input processing =======
% 1.75/1.93
% 1.75/1.93 =========== start of search ===========
% 1.75/1.93
% 1.75/1.93 -------- PROOF --------
% 1.75/1.93
% 1.75/1.93 ----> UNIT CONFLICT at 0.00 sec ----> 19 [binary,18.1,4.1] $F.
% 1.75/1.93
% 1.75/1.93 Length of proof is 4. Level of proof is 3.
% 1.75/1.93
% 1.75/1.93 ---------------- PROOF ----------------
% 1.75/1.93 % SZS status Unsatisfiable
% 1.75/1.93 % SZS output start Refutation
% See solution above
% 1.75/1.93 ------------ end of proof -------------
% 1.75/1.93
% 1.75/1.93
% 1.75/1.93 Search stopped by max_proofs option.
% 1.75/1.93
% 1.75/1.93
% 1.75/1.93 Search stopped by max_proofs option.
% 1.75/1.93
% 1.75/1.93 ============ end of search ============
% 1.75/1.93
% 1.75/1.93 -------------- statistics -------------
% 1.75/1.93 clauses given 7
% 1.75/1.93 clauses generated 11
% 1.75/1.93 clauses kept 15
% 1.75/1.93 clauses forward subsumed 7
% 1.75/1.93 clauses back subsumed 0
% 1.75/1.93 Kbytes malloced 976
% 1.75/1.93
% 1.75/1.93 ----------- times (seconds) -----------
% 1.75/1.93 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.93 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.75/1.93
% 1.75/1.93 That finishes the proof of the theorem.
% 1.75/1.93
% 1.75/1.93 Process 7147 finished Wed Jul 27 05:51:54 2022
% 1.75/1.93 Otter interrupted
% 1.75/1.93 PROOF FOUND
%------------------------------------------------------------------------------