TSTP Solution File: SWV351-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV351-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 21:38:07 EDT 2022
% Result : Unsatisfiable 0.47s 0.81s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV351-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n029.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 : Tue Jun 14 21:32:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.47/0.76 ----- Otter 3.2, August 2001 -----
% 0.47/0.76 The process was started by sandbox on n029.cluster.edu,
% 0.47/0.76 Tue Jun 14 21:32:26 2022
% 0.47/0.76 The command was "./sos". The process ID is 31111.
% 0.47/0.76
% 0.47/0.76 set(prolog_style_variables).
% 0.47/0.76 set(auto).
% 0.47/0.76 dependent: set(auto1).
% 0.47/0.76 dependent: set(process_input).
% 0.47/0.76 dependent: clear(print_kept).
% 0.47/0.76 dependent: clear(print_new_demod).
% 0.47/0.76 dependent: clear(print_back_demod).
% 0.47/0.76 dependent: clear(print_back_sub).
% 0.47/0.76 dependent: set(control_memory).
% 0.47/0.76 dependent: assign(max_mem, 12000).
% 0.47/0.76 dependent: assign(pick_given_ratio, 4).
% 0.47/0.76 dependent: assign(stats_level, 1).
% 0.47/0.76 dependent: assign(pick_semantic_ratio, 3).
% 0.47/0.76 dependent: assign(sos_limit, 5000).
% 0.47/0.76 dependent: assign(max_weight, 60).
% 0.47/0.76 clear(print_given).
% 0.47/0.76
% 0.47/0.76 list(usable).
% 0.47/0.76
% 0.47/0.76 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.47/0.76
% 0.47/0.76 This ia a non-Horn set with equality. The strategy will be
% 0.47/0.76 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.47/0.76 unit deletion, with positive clauses in sos and nonpositive
% 0.47/0.76 clauses in usable.
% 0.47/0.76
% 0.47/0.76 dependent: set(knuth_bendix).
% 0.47/0.76 dependent: set(para_from).
% 0.47/0.76 dependent: set(para_into).
% 0.47/0.76 dependent: clear(para_from_right).
% 0.47/0.76 dependent: clear(para_into_right).
% 0.47/0.76 dependent: set(para_from_vars).
% 0.47/0.76 dependent: set(eq_units_both_ways).
% 0.47/0.76 dependent: set(dynamic_demod_all).
% 0.47/0.76 dependent: set(dynamic_demod).
% 0.47/0.76 dependent: set(order_eq).
% 0.47/0.76 dependent: set(back_demod).
% 0.47/0.76 dependent: set(lrpo).
% 0.47/0.76 dependent: set(hyper_res).
% 0.47/0.76 dependent: set(unit_deletion).
% 0.47/0.76 dependent: set(factor).
% 0.47/0.76
% 0.47/0.76 ------------> process usable:
% 0.47/0.76 Following clause subsumed by 1021 during input processing: 0 [] {-} c_Datatype_Ooption_OSome(A,B)!=c_Datatype_Ooption_ONone.
% 0.47/0.76 Following clause subsumed by 1053 during input processing: 0 [] {-} c_Equiv__Relations_Oquotient(A,B,C)!=c_emptyset|A=c_emptyset.
% 0.47/0.76 Following clause subsumed by 1055 during input processing: 0 [] {-} c_Extraction_Osumbool_ORight!=c_Extraction_Osumbool_OLeft.
% 0.47/0.76 Following clause subsumed by 1180 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_IntDef_Oof__int(c_0,A)=c_0.
% 0.47/0.76 Following clause subsumed by 1278 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1280 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|B=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1274 during input processing: 0 [] {-} -c_in(A,c_List_Oset(B,tc_List_Olist(C)),tc_List_Olist(C))|c_List_Oconcat(B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1334 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1358 during input processing: 0 [flip.1] {-} c_List_Oremdups(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1282 during input processing: 0 [] {-} c_List_Orev(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1294 during input processing: 0 [flip.1] {-} c_append(B,A,C)!=A|B=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1295 during input processing: 0 [flip.1] {-} c_append(A,B,C)!=A|B=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1369 during input processing: 0 [] {-} c_List_Oset(A,B)!=c_emptyset|A=c_List_Olist_ONil.
% 0.47/0.76 Following clause subsumed by 1342 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.47/0.76 Following clause subsumed by 1395 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_NatArith_Oof__nat(c_0,A)=c_0.
% 0.47/0.76 Following clause subsumed by 1428 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(B)),tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.47/0.77 Following clause subsumed by 1428 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.47/0.77 Following clause subsumed by 1428 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oiszero(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.47/0.77 Following clause subsumed by 1419 during input processing: 0 [] {-} c_Numeral_Onumber__of(A,tc_nat)!=c_0|c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).
% 0.47/0.77 Following clause subsumed by 1421 during input processing: 0 [] {-} -c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_0.
% 0.47/0.77 Following clause subsumed by 1423 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_0.
% 0.47/0.77 Following clause subsumed by 1455 during input processing: 0 [] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_Numeral_Onumber__of(B,A)=c_0|c_times(c_divide(C,c_Numeral_Onumber__of(B,A),A),c_Numeral_Onumber__of(B,A),A)=C.
% 0.47/0.77 Following clause subsumed by 1456 during input processing: 0 [flip.5] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_Numeral_Onumber__of(B,A)!=c_0|c_divide(C,c_Numeral_Onumber__of(B,A),A)=c_0.
% 0.47/0.77 Following clause subsumed by 1457 during input processing: 0 [flip.4] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(B,c_Numeral_Onumber__of(C,A),A),c_Numeral_Onumber__of(C,A),A)=B|c_Numeral_Onumber__of(C,A)=c_0.
% 0.47/0.77 Following clause subsumed by 1458 during input processing: 0 [flip.4] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(c_0,c_Numeral_Onumber__of(B,A),A),c_Numeral_Onumber__of(B,A),A)=c_0.
% 0.47/0.77 Following clause subsumed by 1497 during input processing: 0 [] {-} -class_Numeral_Onumber(A)| -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_uminus(c_Numeral_Onumber__of(B,A),A),A)=c_Numeral_Onumber__of(B,A).
% 0.47/0.77 Following clause subsumed by 1586 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_0.
% 0.47/0.77 Following clause subsumed by 58 during input processing: 0 [] {-} -c_less(c_0,c_0,tc_nat).
% 0.47/0.77 Following clause subsumed by 1669 during input processing: 0 [] {-} c_Numeral_Obit_OB1!=c_Numeral_Obit_OB0.
% 0.47/0.77 Following clause subsumed by 1681 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(B,A)!=c_0|B=c_0.
% 0.47/0.77 Following clause subsumed by 1683 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(c_0,A)=c_0.
% 0.47/0.77 Following clause subsumed by 1732 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_0,A)=c_0.
% 0.47/0.77 Following clause subsumed by 1163 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.47/0.77 Following clause subsumed by 1883 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_0,A)=c_0.
% 0.47/0.77 Following clause subsumed by 1885 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(B,c_0,A)!=c_1.
% 0.47/0.77 Following clause subsumed by 1886 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(B,C,A)!=c_1|C=B.
% 0.47/0.77 Following clause subsumed by 1887 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|B=c_0|c_divide(B,B,A)=c_1.
% 0.47/0.78 Following clause subsumed by 1946 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=B|B=c_0|C=c_1.
% 0.47/0.78 Following clause subsumed by 1952 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=C|C=c_0|B=c_1.
% 0.47/0.78 Following clause subsumed by 1882 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_times(c_0,B,A),A)=c_0.
% 0.47/0.78 Following clause subsumed by 1883 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(c_0,B,A),c_0,A)=c_0.
% 0.47/0.78 Following clause subsumed by 1882 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_times(B,c_0,A),A)=c_0.
% 0.47/0.78 Following clause subsumed by 1883 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(B,c_0,A),c_0,A)=c_0.
% 0.47/0.78 Following clause subsumed by 1884 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(B,C,A)!=c_1|B=C.
% 0.47/0.78 Following clause subsumed by 1163 during input processing: 0 [] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.47/0.78 Following clause subsumed by 1974 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(c_1,B,A)!=c_0|B=c_0.
% 0.47/0.78 Following clause subsumed by 1975 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(c_1,c_0,A)=c_0.
% 0.47/0.78 Following clause subsumed by 2053 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Inter(B,C)!=c_UNIV|A=c_UNIV.
% 0.47/0.78 Following clause subsumed by 2076 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(B,c_insert(A,D,C),C)!=c_emptyset.
% 0.47/0.78 Following clause subsumed by 2077 during input processing: 0 [flip.1,flip.2] {-} c_inter(A,c_insert(B,C,D),D)!=c_emptyset|c_inter(A,C,D)=c_emptyset.
% 0.47/0.78 Following clause subsumed by 2078 during input processing: 0 [flip.1,flip.3] {-} c_inter(A,B,C)!=c_emptyset|c_in(D,A,C)|c_inter(A,c_insert(D,B,C),C)=c_emptyset.
% 0.47/0.78 Following clause subsumed by 2071 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Union(B,C)!=c_emptyset|A=c_emptyset.
% 0.47/0.78 Following clause subsumed by 2085 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(c_insert(A,D,C),B,C)!=c_emptyset.
% 0.47/0.78 Following clause subsumed by 2086 during input processing: 0 [flip.1,flip.2] {-} c_inter(c_insert(A,B,C),D,C)!=c_emptyset|c_inter(B,D,C)=c_emptyset.
% 0.47/0.78 Following clause subsumed by 2087 during input processing: 0 [flip.1,flip.3] {-} c_inter(A,B,C)!=c_emptyset|c_in(D,B,C)|c_inter(c_insert(D,A,C),B,C)=c_emptyset.
% 0.47/0.78 Following clause subsumed by 2083 during input processing: 0 [] {-} c_insert(A,B,C)!=c_emptyset.
% 0.47/0.78 Following clause subsumed by 2119 during input processing: 0 [] {-} c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OServer.
% 0.47/0.78 Following clause subsumed by 2121 during input processing: 0 [] {-} c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 0.47/0.78 Following clause subsumed by 2122 during input processing: 0 [flip.1] {-} c_Message_Oagent_OFriend(A)!=c_Message_Oagent_OSpy.
% 0.47/0.78 Following clause subsumed by 2223 during input processing: 0 [flip.1] {-} c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption.
% 0.47/0.78 Following clause subsumed by 1035 during input processing: 0 [copy,1024,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OAtom(E,C,D).
% 0.47/0.78 Following clause subsumed by 1028 during input processing: 0 [copy,1026,flip.1] {-} c_Datatype__Universe_OIn1(A,B,C)!=c_Datatype__Universe_OIn0(D,B,C).
% 0.47/0.78 Following clause subsumed by 1026 during input processing: 0 [copy,1028,flip.1] {-} c_Datatype__Universe_OIn0(A,B,C)!=c_Datatype__Universe_OIn1(D,B,C).
% 0.47/0.78 Following clause subsumed by 1031 during input processing: 0 [copy,1029,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OLeaf(D,B,C).
% 0.47/0.80 Following clause subsumed by 1036 during input processing: 0 [copy,1030,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OLeaf(E,C,D).
% 0.47/0.80 Following clause subsumed by 1029 during input processing: 0 [copy,1031,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_ONumb(D,B,C).
% 0.47/0.80 Following clause subsumed by 1037 during input processing: 0 [copy,1032,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_ONumb(E,C,D).
% 0.47/0.80 Following clause subsumed by 1024 during input processing: 0 [copy,1035,flip.1] {-} c_Datatype__Universe_OAtom(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.47/0.80 Following clause subsumed by 1030 during input processing: 0 [copy,1036,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.47/0.80 Following clause subsumed by 1032 during input processing: 0 [copy,1037,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.47/0.80 1168 back subsumes 1139.
% 0.47/0.80 1726 back subsumes 1497.
% 0.47/0.80 1726 back subsumes 1494.
% 0.47/0.80 1848 back subsumes 1817.
% 0.47/0.80 1849 back subsumes 1818.
% 0.47/0.80 1850 back subsumes 1819.
% 0.47/0.80 1854 back subsumes 1449.
% 0.47/0.80 1962 back subsumes 1457.
% 0.47/0.80 1981 back subsumes 1455.
% 0.47/0.80 2097 back subsumes 88.
% 0.47/0.80 Following clause subsumed by 2104 during input processing: 0 [copy,2102,flip.1] {-} c_Sum__Type_OInr(A,B,C)!=c_Sum__Type_OInl(D,C,B).
% 0.47/0.80 Following clause subsumed by 2102 during input processing: 0 [copy,2104,flip.1] {-} c_Sum__Type_OInl(A,B,C)!=c_Sum__Type_OInr(D,C,B).
% 0.47/0.80 Following clause subsumed by 2139 during input processing: 0 [copy,2138,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.47/0.80 Following clause subsumed by 2138 during input processing: 0 [copy,2139,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 0.47/0.80 Following clause subsumed by 2141 during input processing: 0 [copy,2140,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.47/0.80 Following clause subsumed by 2140 during input processing: 0 [copy,2141,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 0.47/0.80 Following clause subsumed by 2143 during input processing: 0 [copy,2142,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 0.47/0.80 Following clause subsumed by 2142 during input processing: 0 [copy,2143,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 0.47/0.80 Following clause subsumed by 2174 during input processing: 0 [copy,2165,flip.1] {-} c_Message_OHPair(A,B)!=c_Message_Omsg_OAgent(C).
% 0.47/0.80 Following clause subsumed by 2178 during input processing: 0 [copy,2166,flip.1] {-} c_Message_OHPair(A,B)!=c_Message_Omsg_ONonce(C).
% 0.47/0.80 Following clause subsumed by 2179 during input processing: 0 [copy,2167,flip.1] {-} c_Message_OHPair(A,B)!=c_Message_Omsg_ONumber(C).
% 0.47/0.80 Following clause subsumed by 2177 during input processing: 0 [copy,2168,flip.1] {-} c_Message_OHPair(A,B)!=c_Message_Omsg_OKey(C).
% 0.47/0.80 Following clause subsumed by 2176 during input processing: 0 [copy,2169,flip.1] {-} c_Message_OHPair(A,B)!=c_Message_Omsg_OHash(C).
% 0.47/0.80 Following clause subsumed by 2175 during input processing: 0 [copy,2170,flip.1] {-} c_Message_OHPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 0.47/0.80 Following clause subsumed by 2165 during input processing: 0 [copy,2174,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_OHPair(B,C).
% 0.47/0.80 Following clause subsumed by 2170 during input processing: 0 [copy,2175,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_OHPair(C,D).
% 0.47/0.80 Following clause subsumed by 2169 during input processing: 0 [copy,2176,flip.1] {-} c_Message_Omsg_OHash(A)!=c_Message_OHPair(B,C).
% 0.47/0.80 Following clause subsumed by 2168 during input processing: 0 [copy,2177,flip.1] {-} c_Message_Omsg_OKey(A)!=c_Message_OHPair(B,C).
% 0.47/0.80 Following clause subsumed by 2166 during input processing: 0 [copy,2178,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_OHPair(B,C).
% 0.47/0.80 Following clause subsumed by 2167 during input processing: 0 [copy,2179,flip.1] {-} c_Message_Omsg_ONumber(A)!=c_Message_OHPair(B,C).
% 0.47/0.80 2210 back subsumes 2195.
% 0.47/0.80 2210 back subsumes 2184.
% 0.47/0.80 2210 back subsumes 2182.
% 0.47/0.80 2210 back subsumes 2159.
% 0.47/0.80 2211 back subsumes 2193.
% 0.47/0.81 Following clause subsumed by 2227 during input processing: 0 [co
% 0.47/0.81 -------- PROOF --------
% 0.47/0.81 % SZS status Unsatisfiable
% 0.47/0.81 % SZS output start Refutation
% 0.47/0.81 py,2226,flip.1] {-} c_Public_OshrK(A)!=c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,B)).
% 0.47/0.81 Following clause subsumed by 2234 during input processing: 0 [copy,2227,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OshrK(C).
% 0.47/0.81 Following clause subsumed by 2232 during input processing: 0 [copy,2228,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Message_OinvKey(c_Public_OpublicKey(C,D)).
% 0.47/0.81 Following clause subsumed by 2235 during input processing: 0 [copy,2229,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Public_OshrK(C).
% 0.47/0.81 Following clause subsumed by 2228 during input processing: 0 [copy,2232,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OpublicKey(C,D).
% 0.47/0.81 Following clause subsumed by 2227 during input processing: 0 [copy,2234,flip.1] {-} c_Public_OshrK(A)!=c_Message_OinvKey(c_Public_OpublicKey(B,C)).
% 0.47/0.81 2234 back subsumes 2226.
% 0.47/0.81 Following clause subsumed by 2229 during input processing: 0 [copy,2235,flip.1] {-} c_Public_OshrK(A)!=c_Public_OpublicKey(B,C).
% 0.47/0.81 2384 back subsumes 2382.
% 0.47/0.81
% 0.47/0.81 ------------> process sos:
% 0.47/0.81 Following clause subsumed by 2393 during input processing: 0 [] {-} c_Divides_Oop_Advd(c_0,c_0,tc_nat).
% 0.47/0.81 Following clause subsumed by 2394 during input processing: 0 [] {-} c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat).
% 0.47/0.81 Following clause subsumed by 2402 during input processing: 0 [] {-} c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint).
% 0.47/0.81 Following clause subsumed by 2788 during input processing: 0 [demod,3015] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.47/0.81 Following clause subsumed by 2788 during input processing: 0 [demod,2783] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,2792] {-} A=A.
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,3053] {-} c_emptyset=c_emptyset.
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,3027,2842] {-} c_List_Olist_OCons(A,c_List_Olist_ONil,B)=c_List_Olist_OCons(A,c_List_Olist_ONil,B).
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,3134,2628] {-} c_Divides_Oop_Amod(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=c_Divides_Oop_Amod(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat).
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,3154] {-} c_0=c_0.
% 0.47/0.81 Following clause subsumed by 2411 during input processing: 0 [] {-} c_lessequals(c_0,c_0,tc_nat).
% 0.47/0.81 Following clause subsumed by 3167 during input processing: 0 [] {-} c_less(c_0,c_1,tc_nat).
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,3183,3183] {-} c_0=c_0.
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,2689,3150,3189] {-} c_1=c_1.
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,3214,3220] {-} c_Numeral_OMin=c_Numeral_OMin.
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,3421] {-} c_emptyset=c_emptyset.
% 0.47/0.81 Following clause subsumed by 2429 during input processing: 0 [] {-} c_lessequals(c_emptyset,c_emptyset,tc_set(A)).
% 0.47/0.81 Following clause subsumed by 3046 during input processing: 0 [demod,3553] {-} c_Message_OHPair(A,B)=c_Message_OHPair(A,B).
% 0.47/0.81
% 0.47/0.81 ----> UNIT CONFLICT at 0.16 sec ----> 3639 [binary,3638.1,2278.1] {-} $F.
% 0.47/0.81
% 0.47/0.81 Length of proof is 0. Level of proof is 0.
% 0.47/0.81
% 0.47/0.81 ---------------- PROOF ----------------
% 0.47/0.81 % SZS status Unsatisfiable
% 0.47/0.81 % SZS output start Refutation
% 0.47/0.81
% 0.47/0.81 2278 [] {-} -c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),A))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 0.47/0.81 3638 [] {-} c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),v_k))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 0.47/0.81 3639 [binary,3638.1,2278.1] {-} $F.
% 0.47/0.81
% 0.47/0.81 % SZS output end Refutation
% 0.47/0.81 ------------ end of proof -------------
% 0.47/0.81
% 0.47/0.81
% 0.47/0.81 Search stopped by max_proofs option.
% 0.47/0.81
% 0.47/0.81
% 0.47/0.81 Search stopped by max_proofs option.
% 0.47/0.81
% 0.47/0.81 ============ end of search ============
% 0.47/0.81
% 0.47/0.81 That finishes the proof of the theorem.
% 0.47/0.81
% 0.47/0.81 Process 31111 finished Tue Jun 14 21:32:26 2022
%------------------------------------------------------------------------------