TSTP Solution File: SWV332-2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 : 600s
% DateTime : Wed Jul 20 21:38:01 EDT 2022
% Result : Unsatisfiable 0.44s 0.71s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n024.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 : 600
% 0.12/0.34 % DateTime : Thu Jun 16 05:25:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox2 on n024.cluster.edu,
% 0.12/0.36 Thu Jun 16 05:25:18 2022
% 0.12/0.36 The command was "./sos". The process ID is 20437.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 19 during input processing: 0 [copy,19,flip.1] {-} A=A.
% 0.12/0.36 19 back subsumes 15.
% 0.12/0.36 19 back subsumes 14.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.18/0.41
% 0.18/0.41 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.41
% 0.18/0.41 Stopped by limit on number of solutions
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 -------------- Softie stats --------------
% 0.18/0.41
% 0.18/0.41 UPDATE_STOP: 300
% 0.18/0.41 SFINDER_TIME_LIMIT: 2
% 0.18/0.41 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.41 number of clauses in intial UL: 12
% 0.18/0.41 number of clauses initially in problem: 16
% 0.18/0.41 percentage of clauses intially in UL: 75
% 0.18/0.41 percentage of distinct symbols occuring in initial UL: 93
% 0.18/0.41 percent of all initial clauses that are short: 93
% 0.18/0.41 absolute distinct symbol count: 33
% 0.18/0.41 distinct predicate count: 2
% 0.18/0.41 distinct function count: 15
% 0.18/0.41 distinct constant count: 16
% 0.18/0.41
% 0.18/0.41 ---------- no more Softie stats ----------
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 =========== start of search ===========
% 0.44/0.71
% 0.44/0.71 -------- PROOF --------
% 0.44/0.71 % SZS status Unsatisfiable
% 0.44/0.71 % SZS output start Refutation
% 0.44/0.71
% 0.44/0.71 ----> UNIT CONFLICT at 0.32 sec ----> 131 [binary,130.1,12.1] {-} $F.
% 0.44/0.71
% 0.44/0.71 Length of proof is 12. Level of proof is 9.
% 0.44/0.71
% 0.44/0.71 ---------------- PROOF ----------------
% 0.44/0.71 % SZS status Unsatisfiable
% 0.44/0.71 % SZS output start Refutation
% 0.44/0.71
% 0.44/0.71 1 [] {+} -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 0.44/0.71 2 [] {+} -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(C),tc_Message_Omsg).
% 0.44/0.71 3 [] {+} -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 0.44/0.71 4 [] {+} -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg).
% 0.44/0.71 5 [] {+} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 0.44/0.71 6 [] {+} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OKey(D))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(C,B,D,A)),c_Message_Omsg_ONonce(v_sko__2jj(C,B,D,A)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 0.44/0.71 7 [] {+} -c_in(A,c_Yahalom_Oyahalom,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,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg).
% 0.44/0.71 8 [] {+} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(J,K)))),L)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|H=B.
% 0.44/0.71 9 [] {+} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(J,K)))),L)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|I=C.
% 0.44/0.71 10 [] {-} A!=v_X|v_B!=v_Ba|v_A!=v_Aa.
% 0.44/0.71 11 [copy,10,flip.2,flip.3] {+} A!=v_X|v_Ba!=v_B|v_Aa!=v_A.
% 0.44/0.71 12 [] {+} -c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 13 [] {+} -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 0.44/0.71 16 [] {-} c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 0.44/0.71 17 [] {-} c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 0.44/0.71 18 [] {-} c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 19 [] {+} A=A.
% 0.44/0.71 28 [hyper,18,6,16,unit_del,13] {-} c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 0.44/0.71 29 [hyper,17,7,16] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 30 [hyper,29,3] {-} c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 58 [hyper,30,1] {+} c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 59 [hyper,58,5,16] {+} c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 0.44/0.71 60 [hyper,59,4,30] {-} c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 63 [hyper,60,9,16,28] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|v_Ba=v_B.
% 0.44/0.71 64 [hyper,60,8,16,28] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|v_Aa=v_A.
% 0.44/0.71 94 [hyper,64,11,19,63,factor_simp] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 96 [hyper,94,2] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 130 [hyper,96,3] {-} c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.44/0.71 131 [binary,130.1,12.1] {-} $F.
% 0.44/0.71
% 0.44/0.71 % SZS output end Refutation
% 0.44/0.71 ------------ end of proof -------------
% 0.44/0.71
% 0.44/0.71
% 0.44/0.71 Search stopped by max_proofs option.
% 0.44/0.71
% 0.44/0.71
% 0.44/0.71 Search stopped by max_proofs option.
% 0.44/0.71
% 0.44/0.71 ============ end of search ============
% 0.44/0.71
% 0.44/0.71 ----------- soft-scott stats ----------
% 0.44/0.71
% 0.44/0.71 true clauses given 9 (37.5%)
% 0.44/0.71 false clauses given 15
% 0.44/0.71
% 0.44/0.71 FALSE TRUE
% 0.44/0.71 7 0 1
% 0.44/0.71 10 0 1
% 0.44/0.71 12 0 2
% 0.44/0.71 17 0 1
% 0.44/0.71 21 0 1
% 0.44/0.71 24 0 2
% 0.44/0.71 26 0 2
% 0.44/0.71 27 0 1
% 0.44/0.71 35 0 2
% 0.44/0.71 54 0 3
% 0.44/0.71 55 0 1
% 0.44/0.71 56 0 28
% 0.44/0.71 57 0 22
% 0.44/0.71 58 0 4
% 0.44/0.71 59 0 4
% 0.44/0.71 60 0 2
% 0.44/0.71 tot: 0 77 (100.0% true)
% 0.44/0.71
% 0.44/0.71
% 0.44/0.71 Model 1 (0.00 seconds, 0 Inserts)
% 0.44/0.71
% 0.44/0.71 That finishes the proof of the theorem.
% 0.44/0.71
% 0.44/0.71 Process 20437 finished Thu Jun 16 05:25:18 2022
%------------------------------------------------------------------------------