TSTP Solution File: SWV311-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV311-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 21:32:54 EDT 2023
% Result : Unsatisfiable 0.80s 0.92s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV311-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 29 04:31:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.80/0.91 %-------------------------------------------
% 0.80/0.91 % File :CSE---1.6
% 0.80/0.91 % Problem :theBenchmark
% 0.80/0.91 % Transform :cnf
% 0.80/0.91 % Format :tptp:raw
% 0.80/0.91 % Command :java -jar mcs_scs.jar %d %s
% 0.80/0.91
% 0.80/0.91 % Result :Theorem 0.310000s
% 0.80/0.91 % Output :CNFRefutation 0.310000s
% 0.80/0.91 %-------------------------------------------
% 0.80/0.92 %------------------------------------------------------------------------------
% 0.80/0.92 % File : SWV311-2 : TPTP v8.1.2. Released v3.2.0.
% 0.80/0.92 % Domain : Software Verification (Security)
% 0.80/0.92 % Problem : Cryptographic protocol problem for Otway Rees
% 0.80/0.92 % Version : [Pau06] axioms : Reduced > Especial.
% 0.80/0.92 % English :
% 0.80/0.92
% 0.80/0.92 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.80/0.92 % Source : [Pau06]
% 0.80/0.92 % Names :
% 0.80/0.92
% 0.80/0.92 % Status : Unsatisfiable
% 0.80/0.92 % Rating : 0.24 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.08 v7.0.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.36 v4.1.0, 0.31 v4.0.1, 0.09 v4.0.0, 0.18 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.33 v3.3.0, 0.36 v3.2.0
% 0.80/0.92 % Syntax : Number of clauses : 12 ( 7 unt; 1 nHn; 12 RR)
% 0.80/0.92 % Number of literals : 20 ( 3 equ; 9 neg)
% 0.80/0.92 % Maximal clause size : 4 ( 1 avg)
% 0.80/0.92 % Maximal term depth : 11 ( 2 avg)
% 0.80/0.92 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.80/0.92 % Number of functors : 29 ( 29 usr; 15 con; 0-5 aty)
% 0.80/0.92 % Number of variables : 18 ( 4 sgn)
% 0.80/0.92 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.80/0.92
% 0.80/0.92 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.80/0.92 % of which only a small selection are required for the refutation.
% 0.80/0.92 % The mission is to find those few axioms, after which a refutation
% 0.80/0.92 % can be quite easily found. This version has only the necessary
% 0.80/0.92 % axioms.
% 0.80/0.92 %------------------------------------------------------------------------------
% 0.80/0.92 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 0.80/0.92 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.80/0.92 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Message_OMPair__analz_0,axiom,
% 0.80/0.92 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.80/0.92 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 0.80/0.92 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.80/0.92 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_OtwayRees_OCrypt__imp__OR2__dest_0,axiom,
% 0.80/0.92 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.80/0.92 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.80/0.92 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.80/0.92 | c_in(c_Event_Oevent_OSays(V_B,c_Message_Oagent_OServer,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_OMPair(v_sko__u__1(V_A,V_B,V_NA,V_NB,V_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
% 0.80/0.92 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.80/0.92 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.80/0.92 | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_conjecture_0,negated_conjecture,
% 0.80/0.92 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_conjecture_1,negated_conjecture,
% 0.80/0.92 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_conjecture_10,negated_conjecture,
% 0.80/0.92 v_NB = c_Message_Omsg_ONonce(v_NBa) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_conjecture_12,negated_conjecture,
% 0.80/0.92 ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_conjecture_3,negated_conjecture,
% 0.80/0.92 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_conjecture_4,negated_conjecture,
% 0.80/0.92 v_B = v_Ba ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_conjecture_5,negated_conjecture,
% 0.80/0.92 v_NA = c_Message_Omsg_ONonce(v_NAa) ).
% 0.80/0.92
% 0.80/0.92 %------------------------------------------------------------------------------
% 0.80/0.92 %-------------------------------------------
% 0.80/0.92 % Proof found
% 0.80/0.92 % SZS status Theorem for theBenchmark
% 0.80/0.92 % SZS output start Proof
% 0.80/0.92 %ClaNum:45(EqnAxiom:33)
% 0.80/0.92 %VarNum:49(SingletonVarNum:18)
% 0.80/0.92 %MaxLitNum:4
% 0.80/0.92 %MaxfuncDepth:10
% 0.80/0.92 %SharedTerms:40
% 0.80/0.92 %goalClause: 34 35 36 37 38 39 40
% 0.80/0.92 %singleGoalClaCount:7
% 0.80/0.92 [34]E(a1,a2)
% 0.80/0.92 [39]~P1(a2,a6,a21)
% 0.80/0.92 [35]E(f3(a23),a24)
% 0.80/0.92 [36]E(f3(a25),a26)
% 0.80/0.92 [37]P1(a27,a15,f19(a17))
% 0.80/0.92 [38]P1(f5(a4,f13(f3(a25),f13(f10(a20),f13(f10(a1),f13(f14(f18(a20),f13(f3(a25),f13(f10(a20),f10(a1)))),f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))))))),f7(a27,a17),a17)
% 0.80/0.92 [40]~P1(f8(a1,a4,f13(f3(a25),f13(f10(a20),f13(f10(a1),f13(x401,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))))))),f7(a27,a17),a17)
% 0.80/0.92 [41]~P1(x411,f11(x412),a22)+P1(x411,f16(x412),a22)
% 0.80/0.92 [42]P1(x421,f11(x422),a22)+~P1(f13(x423,x421),f11(x422),a22)
% 0.80/0.92 [43]~P1(f8(x433,x434,x431),f7(x432,a17),a17)+P1(x431,f11(f9(a12,x432)),a22)
% 0.80/0.92 [44]~P1(f5(x441,x442),f7(x443,a17),a17)+~P1(x443,a15,f19(a17))+P1(f8(f28(x441,x442,x443),x441,x442),f7(x443,a17),a17)
% 0.80/0.92 [45]P1(x451,a6,a21)+~P1(x455,a15,f19(a17))+~P1(f14(f18(x451),f13(x452,f13(x454,f13(f10(x453),f10(x451))))),f16(f9(a12,x455)),a22)+P1(f8(x451,a4,f13(x452,f13(f10(x453),f13(f10(x451),f13(f29(x453,x451,x452,x454,x455),f14(f18(x451),f13(x452,f13(x454,f13(f10(x453),f10(x451)))))))))),f7(x455,a17),a17)
% 0.80/0.92 %EqnAxiom
% 0.80/0.92 [1]E(x11,x11)
% 0.80/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.80/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.80/0.92 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.80/0.92 [5]~E(x51,x52)+E(f16(x51),f16(x52))
% 0.80/0.92 [6]~E(x61,x62)+E(f19(x61),f19(x62))
% 0.80/0.92 [7]~E(x71,x72)+E(f9(x71,x73),f9(x72,x73))
% 0.80/0.92 [8]~E(x81,x82)+E(f9(x83,x81),f9(x83,x82))
% 0.80/0.92 [9]~E(x91,x92)+E(f10(x91),f10(x92))
% 0.80/0.92 [10]~E(x101,x102)+E(f13(x101,x103),f13(x102,x103))
% 0.80/0.92 [11]~E(x111,x112)+E(f13(x113,x111),f13(x113,x112))
% 0.80/0.92 [12]~E(x121,x122)+E(f18(x121),f18(x122))
% 0.80/0.92 [13]~E(x131,x132)+E(f14(x131,x133),f14(x132,x133))
% 0.80/0.92 [14]~E(x141,x142)+E(f14(x143,x141),f14(x143,x142))
% 0.80/0.92 [15]~E(x151,x152)+E(f5(x151,x153),f5(x152,x153))
% 0.80/0.92 [16]~E(x161,x162)+E(f5(x163,x161),f5(x163,x162))
% 0.80/0.92 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173))
% 0.80/0.92 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182))
% 0.80/0.92 [19]~E(x191,x192)+E(f11(x191),f11(x192))
% 0.80/0.92 [20]~E(x201,x202)+E(f8(x201,x203,x204),f8(x202,x203,x204))
% 0.80/0.92 [21]~E(x211,x212)+E(f8(x213,x211,x214),f8(x213,x212,x214))
% 0.80/0.92 [22]~E(x221,x222)+E(f8(x223,x224,x221),f8(x223,x224,x222))
% 0.80/0.92 [23]~E(x231,x232)+E(f28(x231,x233,x234),f28(x232,x233,x234))
% 0.80/0.92 [24]~E(x241,x242)+E(f28(x243,x241,x244),f28(x243,x242,x244))
% 0.80/0.92 [25]~E(x251,x252)+E(f28(x253,x254,x251),f28(x253,x254,x252))
% 0.80/0.92 [26]~E(x261,x262)+E(f29(x261,x263,x264,x265,x266),f29(x262,x263,x264,x265,x266))
% 0.80/0.92 [27]~E(x271,x272)+E(f29(x273,x271,x274,x275,x276),f29(x273,x272,x274,x275,x276))
% 0.80/0.92 [28]~E(x281,x282)+E(f29(x283,x284,x281,x285,x286),f29(x283,x284,x282,x285,x286))
% 0.80/0.92 [29]~E(x291,x292)+E(f29(x293,x294,x295,x291,x296),f29(x293,x294,x295,x292,x296))
% 0.80/0.92 [30]~E(x301,x302)+E(f29(x303,x304,x305,x306,x301),f29(x303,x304,x305,x306,x302))
% 0.80/0.92 [31]P1(x312,x313,x314)+~E(x311,x312)+~P1(x311,x313,x314)
% 0.80/0.93 [32]P1(x323,x322,x324)+~E(x321,x322)+~P1(x323,x321,x324)
% 0.80/0.93 [33]P1(x333,x334,x332)+~E(x331,x332)+~P1(x333,x334,x331)
% 0.80/0.93
% 0.80/0.93 %-------------------------------------------
% 0.80/0.93 cnf(47,plain,
% 0.80/0.93 (E(f29(x471,x472,x473,x474,a1),f29(x471,x472,x473,x474,a2))),
% 0.80/0.93 inference(scs_inference,[],[34,2,30])).
% 0.80/0.93 cnf(48,plain,
% 0.80/0.93 (E(f29(x481,x482,x483,a1,x484),f29(x481,x482,x483,a2,x484))),
% 0.80/0.93 inference(scs_inference,[],[34,2,30,29])).
% 0.80/0.93 cnf(75,plain,
% 0.80/0.93 (~P1(a1,a6,a21)),
% 0.80/0.93 inference(scs_inference,[],[34,39,2,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,33,31])).
% 0.80/0.93 cnf(92,plain,
% 0.80/0.93 (~P1(f13(x921,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))),f11(f9(a12,a27)),a22)),
% 0.80/0.93 inference(scs_inference,[],[40,37,47,48,75,45,3,41,43,42])).
% 0.80/0.93 cnf(206,plain,
% 0.80/0.93 (~P1(f13(x2061,f13(x2062,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1))))))),f11(f9(a12,a27)),a22)),
% 0.80/0.93 inference(scs_inference,[],[92,42])).
% 0.80/0.93 cnf(260,plain,
% 0.80/0.93 (~P1(f13(x2601,f13(x2602,f13(x2603,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))))),f11(f9(a12,a27)),a22)),
% 0.80/0.93 inference(scs_inference,[],[206,42])).
% 0.80/0.93 cnf(313,plain,
% 0.80/0.93 (~P1(f13(x3131,f13(x3132,f13(x3133,f13(x3134,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1))))))))),f11(f9(a12,a27)),a22)),
% 0.80/0.93 inference(scs_inference,[],[260,42])).
% 0.80/0.93 cnf(315,plain,
% 0.80/0.93 (~P1(f8(x3151,x3152,f13(x3153,f13(x3154,f13(x3155,f13(x3156,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))))))),f7(a27,a17),a17)),
% 0.80/0.93 inference(scs_inference,[],[313,43])).
% 0.80/0.93 cnf(319,plain,
% 0.80/0.93 ($false),
% 0.80/0.93 inference(scs_inference,[],[315,38,37,44]),
% 0.80/0.93 ['proof']).
% 0.80/0.93 % SZS output end Proof
% 0.80/0.93 % Total time :0.310000s
%------------------------------------------------------------------------------