TSTP Solution File: SWV294-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV294-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 : Thu Aug 31 21:32:46 EDT 2023
% Result : Unsatisfiable 0.54s 0.65s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV294-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 07:53:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.54/0.65 %-------------------------------------------
% 0.54/0.65 % File :CSE---1.6
% 0.54/0.65 % Problem :theBenchmark
% 0.54/0.65 % Transform :cnf
% 0.54/0.65 % Format :tptp:raw
% 0.54/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.65
% 0.54/0.65 % Result :Theorem 0.020000s
% 0.54/0.65 % Output :CNFRefutation 0.020000s
% 0.54/0.65 %-------------------------------------------
% 0.54/0.65 %------------------------------------------------------------------------------
% 0.54/0.65 % File : SWV294-2 : TPTP v8.1.2. Released v3.2.0.
% 0.54/0.65 % Domain : Software Verification (Security)
% 0.54/0.65 % Problem : Cryptographic protocol problem for Otway Rees
% 0.54/0.65 % Version : [Pau06] axioms : Reduced > Especial.
% 0.54/0.65 % English :
% 0.54/0.65
% 0.54/0.65 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.54/0.65 % Source : [Pau06]
% 0.54/0.65 % Names :
% 0.54/0.65
% 0.54/0.65 % Status : Unsatisfiable
% 0.54/0.65 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.12 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.09 v3.7.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0
% 0.54/0.65 % Syntax : Number of clauses : 13 ( 4 unt; 4 nHn; 13 RR)
% 0.54/0.65 % Number of literals : 27 ( 3 equ; 11 neg)
% 0.54/0.65 % Maximal clause size : 3 ( 2 avg)
% 0.54/0.65 % Maximal term depth : 9 ( 2 avg)
% 0.54/0.65 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.54/0.65 % Number of functors : 28 ( 28 usr; 14 con; 0-3 aty)
% 0.54/0.65 % Number of variables : 15 ( 1 sgn)
% 0.54/0.65 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.65
% 0.54/0.65 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.54/0.65 % of which only a small selection are required for the refutation.
% 0.54/0.65 % The mission is to find those few axioms, after which a refutation
% 0.54/0.65 % can be quite easily found. This version has only the necessary
% 0.54/0.65 % axioms.
% 0.54/0.65 %------------------------------------------------------------------------------
% 0.54/0.65 cnf(cls_conjecture_0,negated_conjecture,
% 0.54/0.65 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_conjecture_1,negated_conjecture,
% 0.54/0.65 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_conjecture_18,negated_conjecture,
% 0.54/0.65 ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
% 0.54/0.65 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
% 0.54/0.65 | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_conjecture_2,negated_conjecture,
% 0.54/0.65 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_conjecture_3,negated_conjecture,
% 0.54/0.65 ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
% 0.54/0.65 | v_A = c_Message_Oagent_OSpy ) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_conjecture_4,negated_conjecture,
% 0.54/0.65 ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
% 0.54/0.65 | v_A = c_Message_Oagent_OSpy ) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_conjecture_5,negated_conjecture,
% 0.54/0.65 ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(V_V,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
% 0.54/0.65 | v_A = c_Message_Oagent_OSpy ) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_Event_OSpy_A_58_Abad_0,axiom,
% 0.54/0.65 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_Message_OCrypt__synth_0,axiom,
% 0.54/0.65 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.54/0.65 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.54/0.65 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
% 0.54/0.65 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
% 0.54/0.65 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.54/0.65 | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 0.54/0.65 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.54/0.65 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
% 0.54/0.65 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.54/0.65 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.54/0.65 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.54/0.65
% 0.54/0.65 cnf(cls_Set_OUnE_0,axiom,
% 0.54/0.65 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
% 0.54/0.65 | c_in(V_c,V_B,T_a)
% 0.54/0.65 | c_in(V_c,V_A,T_a) ) ).
% 0.54/0.65
% 0.54/0.65 %------------------------------------------------------------------------------
% 0.54/0.65 %-------------------------------------------
% 0.54/0.65 % Proof found
% 0.54/0.65 % SZS status Theorem for theBenchmark
% 0.54/0.65 % SZS output start Proof
% 0.54/0.65 %ClaNum:43(EqnAxiom:30)
% 0.54/0.65 %VarNum:36(SingletonVarNum:15)
% 0.54/0.65 %MaxLitNum:3
% 0.54/0.65 %MaxfuncDepth:8
% 0.54/0.65 %SharedTerms:51
% 0.54/0.65 %goalClause: 32 33 34 39 41 42 43
% 0.54/0.65 %singleGoalClaCount:3
% 0.54/0.65 [31]P1(a1,a2,a7)
% 0.54/0.65 [34]~P1(a24,a2,a7)
% 0.54/0.65 [32]P1(a21,a8,f20(a16))
% 0.54/0.66 [33]P1(a22,f10(f9(f3(a1,a21))),a23)
% 0.54/0.66 [39]E(a24,a1)+P1(f13(f17(a24),f15(a25,f12(a26))),f11(f19(a22,f3(a1,a21),a23)),a23)
% 0.54/0.66 [42]E(a24,a1)+P1(f4(a24,a27,f15(a25,f15(f14(a24),f15(f14(a27),f13(f17(a24),f15(a25,f15(f14(a24),f14(a27)))))))),f6(a21,a16),a16)
% 0.54/0.66 [41]E(a24,a1)+~P1(f4(a5,a27,f15(a25,f15(f13(f17(a24),f15(a25,f12(a26))),f13(f17(a27),f15(x411,f12(a26)))))),f6(a21,a16),a16)
% 0.54/0.66 [35]~P1(x351,f9(x352),a23)+P1(x351,f11(x352),a23)
% 0.54/0.66 [43]~P1(f13(f17(a24),f15(a25,f12(a26))),f11(f3(a1,a21)),a23)+P1(f4(a5,a27,f15(a25,f15(f13(f17(a24),f15(a25,f12(a26))),f13(f17(a27),f15(a28,f12(a26)))))),f6(a21,a16),a16)+~P1(f4(a24,a27,f15(a25,f15(f14(a24),f15(f14(a27),f13(f17(a24),f15(a25,f15(f14(a24),f14(a27)))))))),f6(a21,a16),a16)
% 0.54/0.66 [37]P1(x371,a2,a7)+~P1(x372,a8,f20(a16))+~P1(f12(f17(x371)),f11(f3(a1,x372)),a23)
% 0.54/0.66 [36]P1(f12(x361),x362,a23)+P1(f13(x361,x363),x362,a23)+~P1(f13(x361,x363),f10(x362),a23)
% 0.54/0.66 [40]~P1(x403,f10(f9(x402)),a23)+~P1(x401,f11(f19(x403,x402,a23)),a23)+P1(x401,f18(f10(f9(x402)),f11(x402),a23),a23)
% 0.54/0.66 [38]P1(x381,x382,x383)+P1(x381,x384,x383)+~P1(x381,f18(x384,x382,x383),x383)
% 0.54/0.66 %EqnAxiom
% 0.54/0.66 [1]E(x11,x11)
% 0.54/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.66 [4]~E(x41,x42)+E(f20(x41),f20(x42))
% 0.54/0.66 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.54/0.66 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.54/0.66 [7]~E(x71,x72)+E(f9(x71),f9(x72))
% 0.54/0.66 [8]~E(x81,x82)+E(f10(x81),f10(x82))
% 0.54/0.66 [9]~E(x91,x92)+E(f11(x91),f11(x92))
% 0.54/0.66 [10]~E(x101,x102)+E(f15(x101,x103),f15(x102,x103))
% 0.54/0.66 [11]~E(x111,x112)+E(f15(x113,x111),f15(x113,x112))
% 0.54/0.66 [12]~E(x121,x122)+E(f12(x121),f12(x122))
% 0.54/0.66 [13]~E(x131,x132)+E(f13(x131,x133),f13(x132,x133))
% 0.54/0.66 [14]~E(x141,x142)+E(f13(x143,x141),f13(x143,x142))
% 0.54/0.66 [15]~E(x151,x152)+E(f17(x151),f17(x152))
% 0.54/0.66 [16]~E(x161,x162)+E(f14(x161),f14(x162))
% 0.54/0.66 [17]~E(x171,x172)+E(f6(x171,x173),f6(x172,x173))
% 0.54/0.66 [18]~E(x181,x182)+E(f6(x183,x181),f6(x183,x182))
% 0.54/0.66 [19]~E(x191,x192)+E(f19(x191,x193,x194),f19(x192,x193,x194))
% 0.54/0.66 [20]~E(x201,x202)+E(f19(x203,x201,x204),f19(x203,x202,x204))
% 0.54/0.66 [21]~E(x211,x212)+E(f19(x213,x214,x211),f19(x213,x214,x212))
% 0.54/0.66 [22]~E(x221,x222)+E(f4(x221,x223,x224),f4(x222,x223,x224))
% 0.54/0.66 [23]~E(x231,x232)+E(f4(x233,x231,x234),f4(x233,x232,x234))
% 0.54/0.66 [24]~E(x241,x242)+E(f4(x243,x244,x241),f4(x243,x244,x242))
% 0.54/0.66 [25]~E(x251,x252)+E(f18(x251,x253,x254),f18(x252,x253,x254))
% 0.54/0.66 [26]~E(x261,x262)+E(f18(x263,x261,x264),f18(x263,x262,x264))
% 0.54/0.66 [27]~E(x271,x272)+E(f18(x273,x274,x271),f18(x273,x274,x272))
% 0.54/0.66 [28]P1(x282,x283,x284)+~E(x281,x282)+~P1(x281,x283,x284)
% 0.54/0.66 [29]P1(x293,x292,x294)+~E(x291,x292)+~P1(x293,x291,x294)
% 0.54/0.66 [30]P1(x303,x304,x302)+~E(x301,x302)+~P1(x303,x304,x301)
% 0.54/0.66
% 0.54/0.66 %-------------------------------------------
% 0.54/0.66 cnf(46,plain,
% 0.54/0.66 (P1(f13(f17(a24),f15(a25,f12(a26))),f11(f19(a22,f3(a1,a21),a23)),a23)),
% 0.54/0.66 inference(scs_inference,[],[34,31,28,2,39])).
% 0.54/0.66 cnf(50,plain,
% 0.54/0.66 (~P1(f13(f17(a24),f15(a25,f12(a26))),f11(f3(a1,a21)),a23)),
% 0.54/0.66 inference(scs_inference,[],[34,31,28,2,39,42,41,30,43])).
% 0.54/0.66 cnf(51,plain,
% 0.54/0.66 (~P1(f12(f17(a24)),f11(f3(a1,a21)),a23)),
% 0.54/0.66 inference(scs_inference,[],[32,34,31,28,2,39,42,41,30,43,37])).
% 0.54/0.66 cnf(55,plain,
% 0.54/0.66 (P1(f13(f17(a24),f15(a25,f12(a26))),f18(f10(f9(f3(a1,a21))),f11(f3(a1,a21)),a23),a23)),
% 0.54/0.66 inference(scs_inference,[],[32,34,31,33,28,2,39,42,41,30,43,37,38,40])).
% 0.54/0.66 cnf(57,plain,
% 0.54/0.66 (~P1(f13(f17(a24),f15(a25,f12(a26))),f10(f11(f3(a1,a21))),a23)),
% 0.54/0.66 inference(scs_inference,[],[32,34,31,33,28,2,39,42,41,30,43,37,38,40,36])).
% 0.54/0.66 cnf(59,plain,
% 0.54/0.66 (~P1(f13(f17(a24),f15(a25,f12(a26))),f9(f3(a1,a21)),a23)),
% 0.54/0.66 inference(scs_inference,[],[32,34,31,33,28,2,39,42,41,30,43,37,38,40,36,35])).
% 0.54/0.66 cnf(71,plain,
% 0.54/0.66 (P1(f12(f17(a24)),f9(f3(a1,a21)),a23)),
% 0.54/0.66 inference(scs_inference,[],[57,50,46,55,59,38,29,36])).
% 0.54/0.66 cnf(78,plain,
% 0.54/0.66 ($false),
% 0.54/0.66 inference(scs_inference,[],[71,51,35]),
% 0.54/0.66 ['proof']).
% 0.54/0.66 % SZS output end Proof
% 0.54/0.66 % Total time :0.020000s
%------------------------------------------------------------------------------