%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 21:38:04 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 18:03:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n007.cluster.edu,
% 0.13/0.36 Wed Jun 15 18:03:40 2022
% 0.13/0.36 The command was "./sos". The process ID is 5676.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.36
% 0.13/0.36 This is a Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.36 sos and nonpositive clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: clear(order_hyper).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] {-} A=A.
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.13/0.38
% 0.13/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38
% 0.13/0.38 Stopped by limit on number of solutions
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 -------------- Softie stats --------------
% 0.13/0.38
% 0.13/0.38 UPDATE_STOP: 300
% 0.13/0.38 SFINDER_TIME_LIMIT: 2
% 0.13/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38 number of clauses in intial UL: 7
% 0.13/0.38 number of clauses initially in problem: 14
% 0.13/0.38 percentage of clauses intially in UL: 50
% 0.13/0.38 percentage of distinct symbols occuring in initial UL: 62
% 0.13/0.38 percent of all initial clauses that are short: 92
% 0.13/0.38 absolute distinct symbol count: 27
% 0.13/0.38 distinct predicate count: 2
% 0.13/0.38 distinct function count: 13
% 0.13/0.38 distinct constant count: 12
% 0.13/0.38
% 0.13/0.38 ---------- no more Softie stats ----------
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 =========== start of search ===========
% 0.20/0.55
% 0.20/0.55 -------- PROOF --------
% 0.20/0.55 % SZS status Unsatisfiable
% 0.20/0.55 % SZS output start Refutation
% 0.20/0.55
% 0.20/0.55 Stopped by limit on insertions
% 0.20/0.55
% 0.20/0.55 ----> UNIT CONFLICT at 0.17 sec ----> 95 [binary,94.1,1.1] {-} $F.
% 0.20/0.55
% 0.20/0.55 Length of proof is 10. Level of proof is 9.
% 0.20/0.55
% 0.20/0.55 ---------------- PROOF ----------------
% 0.20/0.55 % SZS status Unsatisfiable
% 0.20/0.55 % SZS output start Refutation
% 0.20/0.55
% 0.20/0.55 1 [] {+} -c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg).
% 0.20/0.55 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).
% 0.20/0.55 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).
% 0.20/0.55 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).
% 0.20/0.55 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).
% 0.20/0.55 6 [] {+} -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 0.20/0.55 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).
% 0.20/0.55 8 [] {-} c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 0.20/0.55 9 [] {-} c_in(c_Event_Oevent_OGets(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_Ka),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).
% 0.20/0.55 10 [] {-} v_K=v_Ka.
% 0.20/0.55 12,11 [copy,10,flip.1] {+} v_Ka=v_K.
% 0.20/0.55 13 [] {-} c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 0.20/0.55 16 [back_demod,9,demod,12] {+} c_in(c_Event_Oevent_OGets(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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 0.20/0.55 17 [para_from,13.1.1,6.2.2] {-} -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 0.20/0.55 24 [hyper,16,7,8] {+} c_in(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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.20/0.55 29 [hyper,24,17] {-} c_in(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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.20/0.55 32 [hyper,29,4] {-} c_in(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_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.20/0.55 49 [hyper,32,5] {-} c_in(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_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.20/0.55 69 [hyper,49,3] {-} 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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.20/0.55 89 [hyper,69,4] {-} c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.20/0.55 94 [hyper,89,2] {-} c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg).
% 0.20/0.55 95 [binary,94.1,1.1] {-} $F.
% 0.20/0.55
% 0.20/0.55 % SZS output end Refutation
% 0.20/0.55 ------------ end of proof -------------
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 Search stopped by max_proofs option.
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 Search stopped by max_proofs option.
% 0.20/0.55
% 0.20/0.55 ============ end of search ============
% 0.20/0.55
% 0.20/0.55 ----------- soft-scott stats ----------
% 0.20/0.55
% 0.20/0.55 true clauses given 8 (11.9%)
% 0.20/0.55 false clauses given 59
% 0.20/0.55
% 0.20/0.55 FALSE TRUE
% 0.20/0.55 11 1 0
% 0.20/0.55 12 1 0
% 0.20/0.55 14 2 0
% 0.20/0.55 15 2 0
% 0.20/0.55 17 2 0
% 0.20/0.55 18 1 0
% 0.20/0.55 19 1 0
% 0.20/0.55 22 2 0
% 0.20/0.55 24 0 1
% 0.20/0.55 25 1 0
% 0.20/0.55 tot: 13 1 (7.1% true)
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.55
% 0.20/0.55 That finishes the proof of the theorem.
% 0.20/0.55
% 0.20/0.55 Process 5676 finished Wed Jun 15 18:03:41 2022
%------------------------------------------------------------------------------