TSTP Solution File: SWV774-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV774-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 21:40:11 EDT 2022

% Result   : Unsatisfiable 0.23s 0.45s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV774-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : sos-script %s
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Wed Jun 15 00:35:24 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.23/0.44  ----- Otter 3.2, August 2001 -----
% 0.23/0.44  The process was started by sandbox on n004.cluster.edu,
% 0.23/0.44  Wed Jun 15 00:35:24 2022
% 0.23/0.44  The command was "./sos".  The process ID is 14182.
% 0.23/0.44  
% 0.23/0.44  set(prolog_style_variables).
% 0.23/0.44  set(auto).
% 0.23/0.44     dependent: set(auto1).
% 0.23/0.44     dependent: set(process_input).
% 0.23/0.44     dependent: clear(print_kept).
% 0.23/0.44     dependent: clear(print_new_demod).
% 0.23/0.44     dependent: clear(print_back_demod).
% 0.23/0.44     dependent: clear(print_back_sub).
% 0.23/0.44     dependent: set(control_memory).
% 0.23/0.44     dependent: assign(max_mem, 12000).
% 0.23/0.44     dependent: assign(pick_given_ratio, 4).
% 0.23/0.44     dependent: assign(stats_level, 1).
% 0.23/0.44     dependent: assign(pick_semantic_ratio, 3).
% 0.23/0.44     dependent: assign(sos_limit, 5000).
% 0.23/0.44     dependent: assign(max_weight, 60).
% 0.23/0.44  clear(print_given).
% 0.23/0.44  
% 0.23/0.44  list(usable).
% 0.23/0.44  
% 0.23/0.44  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.23/0.44  
% 0.23/0.44  This ia a non-Horn set with equality.  The strategy will be
% 0.23/0.44  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.23/0.44  unit deletion, with positive clauses in sos and nonpositive
% 0.23/0.44  clauses in usable.
% 0.23/0.44  
% 0.23/0.44     dependent: set(knuth_bendix).
% 0.23/0.44     dependent: set(para_from).
% 0.23/0.44     dependent: set(para_into).
% 0.23/0.44     dependent: clear(para_from_right).
% 0.23/0.44     dependent: clear(para_into_right).
% 0.23/0.44     dependent: set(para_from_vars).
% 0.23/0.44     dependent: set(eq_units_both_ways).
% 0.23/0.44     dependent: set(dynamic_demod_all).
% 0.23/0.44     dependent: set(dynamic_demod).
% 0.23/0.44     dependent: set(order_eq).
% 0.23/0.44     dependent: set(back_demod).
% 0.23/0.44     dependent: set(lrpo).
% 0.23/0.44     dependent: set(hyper_res).
% 0.23/0.44     dependent: set(unit_deletion).
% 0.23/0.44     dependent: set(factor).
% 0.23/0.44  
% 0.23/0.44  ------------> process usable:
% 0.23/0.44    Following clause subsumed by 3 during input processing: 0 [] {-} c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 0.23/0.44    Following clause subsumed by 17 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.23/0.44    Following clause subsumed by 17 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.23/0.44    Following clause subsumed by 20 during input processing: 0 [] {-} c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lessequals(B,D,tc_fun(C,tc_bool))| -c_lessequals(A,D,tc_fun(C,tc_bool)).
% 0.23/0.44    Following clause subsumed by 49 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 0.23/0.44    Following clause subsumed by 50 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 0.23/0.44    Following clause subsumed by 68 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.23/0.44    Following clause subsumed by 69 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.23/0.44    Following clause subsumed by 78 during input processing: 0 [] {-} 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).
% 0.23/0.44    Following clause subsumed by 83 during input processing: 0 [] {-} c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg).
% 0.23/0.44    Following clause subsumed by 69 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.23/0.44    Following clause subsumed by 68 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 0.23/0.44    Following clause subsumed by 69 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.23/0.44    Following clause subsumed by 108 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.23/0.44    Following clause subsumed by 108 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.23/0.44    Following clause subsumed by 108 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.23/0.44    Following clause subsumed by 123 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.23/0.44    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.23/0.44    Following clause subsumed by 124 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.23/0.44    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.23/0.44    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.23/0.44    Following clause subsumed by 126 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.23/0.44    Following clause subsumed by 130 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.23/0.44    Following clause subsumed by 140 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.23/0.44    Following clause subsumed by 140 during input processing: 0 [] {-} -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 0.23/0.44    Following clause subsumed by 198 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,A),A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(D,c_List_Olist_OCons(B,C,A),A),A).
% 0.23/0.44    Following clause subsumed by 206 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 0.23/0.44    Following clause subsumed by 207 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 0.23/0.44    Following clause subsumed by 211 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Event_Oevent_Oevent__case(B,C,D,c_Event_Oevent_OSays(E,F,G),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,E),F),G))).
% 0.23/0.44    Following clause subsumed by 227 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.23/0.44    Following clause subsumed by 228 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.23/0.44    Following clause subsumed by 228 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.23/0.44    Following clause subsumed by 231 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Event_Oevent_Oevent__case(B,C,D,c_Event_Oevent_ONotes(E,F),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(D,E),F))).
% 0.23/0.44    Following clause subsumed by 243 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.23/0.44    Following clause subsumed by 243 during input processing: 0 [] {-} c_in(A,B,C)| -c_lessequals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 0.23/0.44    Following clause subsumed by 243 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.23/0.44    Following clause subsumed by 245 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.23/0.44    Following clause subsumed by 248 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 0.23/0.44    Following clause subsumed by 255 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Event_Oevent_Oevent__case(B,C,D,c_Event_Oevent_OGets(E,F),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,E),F))).
% 0.23/0.44    Following clause subsumed by 283 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 0.23/0.45    Following clause subsumed by 285 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.23/0.45    Following clause subsumed by 295 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.23/0.45    Following clause subsumed by 296 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.23/0.45    Following clause subsumed by 27 during input processing: 0 [copy,11,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 0.23/0.45    Following clause subsumed by 28 during input processing: 0 [copy,12,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 0.23/0.45    Following clause subsumed by 11 during input processing: 0 [copy,27,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 0.23/0.45    Following clause subsumed by 12 during input processing: 0 [copy,28,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 0.23/0.45  45 back subsumes 30.
% 0.23/0.45    Following clause subsumed by 116 during input processing: 0 [copy,74,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 0.23/0.45    Following clause subsumed by 74 during input processing: 0 [copy,116,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.23/0.45    Following clause subsumed by 253 during input processing: 0 [copy,166,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 0.23/0.45    Following clause subsumed by 215 during input processing: 0 [copy,200,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 0.23/0.45    Following clause subsumed by 200 during input processing: 0 [copy,215,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.23/0.45  217 back subsumes 207.
% 0.23/0.45    Following clause subsumed by 166 during input processing: 0 [copy,253,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 0.23/0.45    Following clause subsumed by 256 during input processing: 0 [copy,254,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.23/0.45    Following clause subsumed by 254 during input processing: 0 [copy,256,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 0.23/0.45    Following clause subsumed by 295 during input processing: 0 [copy,286,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.23/0.45    Following clause subsumed by 286 during input processing: 0 [copy,295,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.23/0.45  312 back subsumes 307.
% 0.23/0.45  
% 0.23/0.45  ------------> process sos:
% 0.23/0.45    Following clause subsumed by 441 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.23/0.45    Following clause subsumed by 441 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,447] {-} A=A.
% 0.23/0.45    Following clause subsumed by 461 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.23/0.45    Following clause subsumed by 410 during input processing: 0 [] {-} c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.23/0.45    Following clause subsumed by 452 during input processing: 0 [demod,472] {-} c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Set_Oinsert(D,c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,425] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,480] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.23/0.45    Following clause subsumed by 497 during input processing: 0 [] {-} c_lessequals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.23/0.45    Following clause subsumed by 497 during input processing: 0 [] {-} c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,515] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_Lis
% 0.23/0.45  -------- PROOF -------- 
% 0.23/0.45  % SZS status Unsatisfiable
% 0.23/0.45  % SZS output start Refutation
% 0.23/0.45  t_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,515] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,515] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,524] {-} B=B.
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,524] {-} A=A.
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,527] {-} A=A.
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,530] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,530] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,530] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,524] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [demod,527] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [] {-} A=A.
% 0.23/0.45    Following clause subsumed by 327 during input processing: 0 [copy,327,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [copy,334,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.23/0.45    Following clause subsumed by 335 during input processing: 0 [copy,335,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.23/0.45    Following clause subsumed by 440 during input processing: 0 [copy,339,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Set_Oinsert(c_Message_Omsg_OCrypt(C,D),E,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(C,D),c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),E,tc_Message_Omsg),tc_Message_Omsg).
% 0.23/0.45    Following clause subsumed by 440 during input processing: 0 [copy,368,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),c_Set_Oinsert(c_Message_Omsg_ONonce(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.23/0.45    Following clause subsumed by 407 during input processing: 0 [copy,407,flip.1] {-} c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Oreplicate(D,B,C),C)=c_List_Oappend(c_List_Oreplicate(D,B,C),c_List_Oreplicate(A,B,C),C).
% 0.23/0.45  423 back subsumes 422.
% 0.23/0.45  423 back subsumes 421.
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [copy,431,flip.1] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.23/0.45    Following clause subsumed by 440 during input processing: 0 [copy,440,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.23/0.45  440 back subsumes 368.
% 0.23/0.45  440 back subsumes 339.
% 0.23/0.45    Following clause subsumed by 449 during input processing: 0 [copy,449,flip.1] {-} A=A.
% 0.23/0.45  449 back subsumes 431.
% 0.23/0.45  449 back subsumes 334.
% 0.23/0.45  449 back subsumes 321.
% 0.23/0.45  449 back subsumes 320.
% 0.23/0.45  449 back subsumes 319.
% 0.23/0.45  449 back subsumes 316.
% 0.23/0.45  449 back subsumes 315.
% 0.23/0.45  452 back subsumes 387.
% 0.23/0.45  461 back subsumes 318.
% 0.23/0.45  497 back subsumes 415.
% 0.23/0.45  497 back subsumes 410.
% 0.23/0.45  
% 0.23/0.45  ----> UNIT CONFLICT at   0.03 sec ----> 560 [binary,559.1,449.1] {-} $F.
% 0.23/0.45  
% 0.23/0.45  Length of proof is 4.  Level of proof is 2.
% 0.23/0.45  
% 0.23/0.45  ---------------- PROOF ----------------
% 0.23/0.45  % SZS status Unsatisfiable
% 0.23/0.45  % SZS output start Refutation
% 0.23/0.45  
% 0.23/0.45  297 [] {-} c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OGets(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))!=c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)).
% 0.23/0.45  445 [] {-} A=c_List_Orev(c_List_Orev(A,B),B).
% 0.23/0.45  447,446 [copy,445,flip.1] {-} c_List_Orev(c_List_Orev(A,B),B)=A.
% 0.23/0.45  448 [] {-} c_List_Orev(c_List_Orev(A,B),B)=A.
% 0.23/0.45  449 [copy,448,demod,447] {-} A=A.
% 0.23/0.45  521,520 [] {-} c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(A,B),C,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,C).
% 0.23/0.45  522 [] {-} A=c_List_Oappend(c_List_Olist_ONil(B),A,B).
% 0.23/0.45  524,523 [copy,522,flip.1] {-} c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 0.23/0.45  559 [back_demod,297,demod,524,521] {-} c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))!=c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)).
% 0.23/0.45  560 [binary,559.1,449.1] {-} $F.
% 0.23/0.45  
% 0.23/0.45  % SZS output end Refutation
% 0.23/0.45  ------------ end of proof -------------
% 0.23/0.45  
% 0.23/0.45  
% 0.23/0.45  Search stopped by max_proofs option.
% 0.23/0.45  
% 0.23/0.45  
% 0.23/0.45  Search stopped by max_proofs option.
% 0.23/0.45  
% 0.23/0.45  ============ end of search ============
% 0.23/0.45  
% 0.23/0.45  That finishes the proof of the theorem.
% 0.23/0.45  
% 0.23/0.45  Process 14182 finished Wed Jun 15 00:35:24 2022
%------------------------------------------------------------------------------