TSTP Solution File: SWV306-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV306-2 : 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 13:20:26 EDT 2022
% Result : Unsatisfiable 1.94s 2.14s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 19 ( 2 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('SWV306-2.p',unknown),
[] ).
cnf(2,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('SWV306-2.p',unknown),
[] ).
cnf(3,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('SWV306-2.p',unknown),
[] ).
cnf(4,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('SWV306-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(B,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV306-2.p',unknown),
[] ).
cnf(7,axiom,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('SWV306-2.p',unknown),
[] ).
cnf(9,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,flip.1')] ).
cnf(10,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
file('SWV306-2.p',unknown),
[] ).
cnf(11,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[10]),9]),
[iquote('copy,10,demod,9')] ).
cnf(12,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),9]),
[iquote('back_demod,1,demod,9')] ).
cnf(13,plain,
c_in(c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(hyper,[status(thm)],[11,5]),
[iquote('hyper,11,5')] ).
cnf(16,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(hyper,[status(thm)],[13,3]),
[iquote('hyper,13,3')] ).
cnf(19,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(hyper,[status(thm)],[16,4]),
[iquote('hyper,16,4')] ).
cnf(22,plain,
c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(hyper,[status(thm)],[19,2]),
[iquote('hyper,19,2')] ).
cnf(23,plain,
$false,
inference(binary,[status(thm)],[22,12]),
[iquote('binary,22.1,12.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV306-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 05:44:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.94/2.14 ----- Otter 3.3f, August 2004 -----
% 1.94/2.14 The process was started by sandbox2 on n011.cluster.edu,
% 1.94/2.14 Wed Jul 27 05:44:25 2022
% 1.94/2.14 The command was "./otter". The process ID is 15921.
% 1.94/2.14
% 1.94/2.14 set(prolog_style_variables).
% 1.94/2.14 set(auto).
% 1.94/2.14 dependent: set(auto1).
% 1.94/2.14 dependent: set(process_input).
% 1.94/2.14 dependent: clear(print_kept).
% 1.94/2.14 dependent: clear(print_new_demod).
% 1.94/2.14 dependent: clear(print_back_demod).
% 1.94/2.14 dependent: clear(print_back_sub).
% 1.94/2.14 dependent: set(control_memory).
% 1.94/2.14 dependent: assign(max_mem, 12000).
% 1.94/2.14 dependent: assign(pick_given_ratio, 4).
% 1.94/2.14 dependent: assign(stats_level, 1).
% 1.94/2.14 dependent: assign(max_seconds, 10800).
% 1.94/2.14 clear(print_given).
% 1.94/2.14
% 1.94/2.14 list(usable).
% 1.94/2.14 0 [] A=A.
% 1.94/2.14 0 [] -c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg).
% 1.94/2.14 0 [] v_NA=c_Message_Omsg_ONonce(v_NAa).
% 1.94/2.14 0 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg).
% 1.94/2.14 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).
% 1.94/2.14 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).
% 1.94/2.14 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).
% 1.94/2.14 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.94/2.14 end_of_list.
% 1.94/2.14
% 1.94/2.14 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.94/2.14
% 1.94/2.14 This is a Horn set with equality. The strategy will be
% 1.94/2.14 Knuth-Bendix and hyper_res, with positive clauses in
% 1.94/2.14 sos and nonpositive clauses in usable.
% 1.94/2.14
% 1.94/2.14 dependent: set(knuth_bendix).
% 1.94/2.14 dependent: set(anl_eq).
% 1.94/2.14 dependent: set(para_from).
% 1.94/2.14 dependent: set(para_into).
% 1.94/2.14 dependent: clear(para_from_right).
% 1.94/2.14 dependent: clear(para_into_right).
% 1.94/2.14 dependent: set(para_from_vars).
% 1.94/2.14 dependent: set(eq_units_both_ways).
% 1.94/2.14 dependent: set(dynamic_demod_all).
% 1.94/2.14 dependent: set(dynamic_demod).
% 1.94/2.14 dependent: set(order_eq).
% 1.94/2.14 dependent: set(back_demod).
% 1.94/2.14 dependent: set(lrpo).
% 1.94/2.14 dependent: set(hyper_res).
% 1.94/2.14 dependent: clear(order_hyper).
% 1.94/2.14
% 1.94/2.14 ------------> process usable:
% 1.94/2.14 ** KEPT (pick-wt=6): 1 [] -c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg).
% 1.94/2.14 ** KEPT (pick-wt=12): 2 [] -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).
% 1.94/2.14 ** KEPT (pick-wt=12): 3 [] -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).
% 1.94/2.14 ** KEPT (pick-wt=12): 4 [] -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).
% 1.94/2.14 ** KEPT (pick-wt=12): 5 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(B,c_Message_Oparts(C),tc_Message_Omsg).
% 1.94/2.14
% 1.94/2.14 ------------> process sos:
% 1.94/2.14 ** KEPT (pick-wt=3): 6 [] A=A.
% 1.94/2.14 ** KEPT (pick-wt=4): 8 [copy,7,flip.1] c_Message_Omsg_ONonce(v_NAa)=v_NA.
% 1.94/2.14 ---> New Demodulator: 9 [new_demod,8] c_Message_Omsg_ONonce(v_NAa)=v_NA.
% 1.94/2.14 ** KEPT (pick-wt=18): 11 [copy,10,demod,9] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg).
% 1.94/2.14 Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] A=A.
% 1.94/2.14 >>>> Starting back demodulation with 9.
% 1.94/2.14 >> back demodulating 1 with 9.
% 1.94/2.14
% 1.94/2.14 ======= end of input processing =======
% 1.94/2.14
% 1.94/2.14 =========== start of search ===========
% 1.94/2.14
% 1.94/2.14 -------- PROOF --------
% 1.94/2.14
% 1.94/2.14 ----> UNIT CONFLICT at 0.00 sec ----> 23 [binary,22.1,12.1] $F.
% 1.94/2.14
% 1.94/2.14 Length of proof is 7. Level of proof is 6.
% 1.94/2.14
% 1.94/2.14 ---------------- PROOF ----------------
% 1.94/2.14 % SZS status Unsatisfiable
% 1.94/2.14 % SZS output start Refutation
% See solution above
% 1.94/2.14 ------------ end of proof -------------
% 1.94/2.14
% 1.94/2.14
% 1.94/2.14 Search stopped by max_proofs option.
% 1.94/2.14
% 1.94/2.14
% 1.94/2.14 Search stopped by max_proofs option.
% 1.94/2.14
% 1.94/2.14 ============ end of search ============
% 1.94/2.14
% 1.94/2.14 -------------- statistics -------------
% 1.94/2.14 clauses given 10
% 1.94/2.14 clauses generated 12
% 1.94/2.14 clauses kept 19
% 1.94/2.14 clauses forward subsumed 3
% 1.94/2.14 clauses back subsumed 0
% 1.94/2.14 Kbytes malloced 976
% 1.94/2.14
% 1.94/2.14 ----------- times (seconds) -----------
% 1.94/2.14 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.14 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.14 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.94/2.14
% 1.94/2.14 That finishes the proof of the theorem.
% 1.94/2.14
% 1.94/2.14 Process 15921 finished Wed Jul 27 05:44:27 2022
% 1.94/2.14 Otter interrupted
% 1.94/2.14 PROOF FOUND
%------------------------------------------------------------------------------