TSTP Solution File: SWV352-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV352-2 : 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 : n005.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 21:33:12 EDT 2023
% Result : Unsatisfiable 1.17s 1.34s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 06:57:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 1.17/1.33 %-------------------------------------------
% 1.17/1.33 % File :CSE---1.6
% 1.17/1.33 % Problem :theBenchmark
% 1.17/1.33 % Transform :cnf
% 1.17/1.33 % Format :tptp:raw
% 1.17/1.33 % Command :java -jar mcs_scs.jar %d %s
% 1.17/1.33
% 1.17/1.33 % Result :Theorem 0.690000s
% 1.17/1.33 % Output :CNFRefutation 0.690000s
% 1.17/1.33 %-------------------------------------------
% 1.17/1.33 %------------------------------------------------------------------------------
% 1.17/1.33 % File : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% 1.17/1.33 % Domain : Software Verification (Security)
% 1.17/1.33 % Problem : Cryptographic protocol problem for Yahalom
% 1.17/1.33 % Version : [Pau06] axioms : Reduced > Especial.
% 1.17/1.33 % English :
% 1.17/1.33
% 1.17/1.33 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 1.17/1.33 % Source : [Pau06]
% 1.17/1.33 % Names :
% 1.17/1.33
% 1.17/1.33 % Status : Unsatisfiable
% 1.17/1.33 % Rating : 0.00 v7.0.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.33 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0
% 1.17/1.33 % Syntax : Number of clauses : 11 ( 5 unt; 0 nHn; 10 RR)
% 1.17/1.33 % Number of literals : 21 ( 1 equ; 11 neg)
% 1.17/1.33 % Maximal clause size : 4 ( 1 avg)
% 1.17/1.33 % Maximal term depth : 8 ( 2 avg)
% 1.17/1.33 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 1.17/1.33 % Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% 1.17/1.33 % Number of variables : 28 ( 12 sgn)
% 1.17/1.33 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.17/1.33
% 1.17/1.33 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 1.17/1.33 % of which only a small selection are required for the refutation.
% 1.17/1.33 % The mission is to find those few axioms, after which a refutation
% 1.17/1.33 % can be quite easily found. This version has only the necessary
% 1.17/1.33 % axioms.
% 1.17/1.33 %------------------------------------------------------------------------------
% 1.17/1.33 cnf(cls_conjecture_2,negated_conjecture,
% 1.17/1.33 c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_conjecture_3,negated_conjecture,
% 1.17/1.33 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_conjecture_5,negated_conjecture,
% 1.17/1.33 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_conjecture_6,negated_conjecture,
% 1.17/1.33 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_Event_OSays__imp__spies_0,axiom,
% 1.17/1.33 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 1.17/1.33 | c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_Message_OMPair__parts_0,axiom,
% 1.17/1.33 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
% 1.17/1.33 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_Message_Oparts_OInj_0,axiom,
% 1.17/1.33 ( ~ c_in(V_X,V_H,tc_Message_Omsg)
% 1.17/1.33 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_Message_Oparts__analz_0,axiom,
% 1.17/1.33 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
% 1.17/1.33 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
% 1.17/1.33 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 1.17/1.33 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,
% 1.17/1.33 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
% 1.17/1.33 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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(V_k,c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 1.17/1.33 | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 1.17/1.33
% 1.17/1.33 cnf(cls_Yahalom_Ono__nonce__YM1__YM2_0,axiom,
% 1.17/1.33 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
% 1.17/1.33 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 1.17/1.33 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),V_nb_H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 1.17/1.33 | c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 1.17/1.33
% 1.17/1.33 %------------------------------------------------------------------------------
% 1.17/1.33 %-------------------------------------------
% 1.17/1.33 % Proof found
% 1.17/1.34 % SZS status Theorem for theBenchmark
% 1.17/1.34 % SZS output start Proof
% 1.17/1.34 %ClaNum:37(EqnAxiom:26)
% 1.17/1.34 %VarNum:51(SingletonVarNum:28)
% 1.17/1.34 %MaxLitNum:4
% 1.17/1.34 %MaxfuncDepth:7
% 1.17/1.34 %SharedTerms:43
% 1.17/1.34 %goalClause: 28 29 30 31
% 1.17/1.34 %singleGoalClaCount:4
% 1.17/1.34 [28]P1(a14,a15,f18(a17))
% 1.17/1.34 [31]~P1(f10(a26),f1(f6(a7,a14)),a21)
% 1.17/1.34 [29]P1(f3(a19,a2,f11(f9(a19),f12(f16(a19),f11(f9(a20),f11(f10(a23),f10(a26)))))),f5(a14,a17),a17)
% 1.17/1.34 [30]P1(f3(a2,a22,f11(f12(f16(a22),f11(f9(a24),f11(f13(a25),f11(f10(a26),f10(a27))))),a28)),f5(a14,a17),a17)
% 1.17/1.34 [27]E(f8(f1(x271)),f8(x271))
% 1.17/1.34 [32]~P1(x321,x322,a21)+P1(x321,f8(x322),a21)
% 1.17/1.34 [33]P1(x331,f8(x332),a21)+~P1(f11(x333,x331),f8(x332),a21)
% 1.17/1.34 [35]P1(x351,f6(a7,x352),a21)+~P1(f3(x353,x354,x351),f5(x352,a17),a17)
% 1.17/1.34 [34]~P1(f4(x343,x341),f5(x342,a17),a17)+~P1(x342,a15,f18(a17))+P1(x341,f1(f6(a7,x342)),a21)
% 1.17/1.34 [37]~P1(x375,a15,f18(a17))+P1(f4(a2,f11(f9(x371),f12(f16(x371),f11(f9(x372),f11(x373,x374))))),f5(x375,a17),a17)+~P1(f3(a2,x372,f11(f12(f16(x372),f11(f9(x371),f11(x376,f11(x373,x374)))),x377)),f5(x375,a17),a17)
% 1.17/1.34 [36]~P1(x362,a15,f18(a17))+P1(f10(x361),f1(f6(a7,x362)),a21)+~P1(f12(f16(x363),f11(f9(x364),f11(x365,f10(x361)))),f8(f6(a7,x362)),a21)+~P1(f12(f16(x366),f11(f9(x367),f11(f10(x361),x368))),f8(f6(a7,x362)),a21)
% 1.17/1.34 %EqnAxiom
% 1.17/1.34 [1]E(x11,x11)
% 1.17/1.34 [2]E(x22,x21)+~E(x21,x22)
% 1.17/1.34 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.17/1.34 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 1.17/1.34 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 1.17/1.34 [6]~E(x61,x62)+E(f12(x61,x63),f12(x62,x63))
% 1.17/1.34 [7]~E(x71,x72)+E(f12(x73,x71),f12(x73,x72))
% 1.17/1.34 [8]~E(x81,x82)+E(f18(x81),f18(x82))
% 1.17/1.34 [9]~E(x91,x92)+E(f9(x91),f9(x92))
% 1.17/1.34 [10]~E(x101,x102)+E(f16(x101),f16(x102))
% 1.17/1.34 [11]~E(x111,x112)+E(f10(x111),f10(x112))
% 1.17/1.34 [12]~E(x121,x122)+E(f4(x121,x123),f4(x122,x123))
% 1.17/1.34 [13]~E(x131,x132)+E(f4(x133,x131),f4(x133,x132))
% 1.17/1.34 [14]~E(x141,x142)+E(f11(x141,x143),f11(x142,x143))
% 1.17/1.34 [15]~E(x151,x152)+E(f11(x153,x151),f11(x153,x152))
% 1.17/1.34 [16]~E(x161,x162)+E(f6(x161,x163),f6(x162,x163))
% 1.17/1.34 [17]~E(x171,x172)+E(f6(x173,x171),f6(x173,x172))
% 1.17/1.34 [18]~E(x181,x182)+E(f3(x181,x183,x184),f3(x182,x183,x184))
% 1.17/1.34 [19]~E(x191,x192)+E(f3(x193,x191,x194),f3(x193,x192,x194))
% 1.17/1.34 [20]~E(x201,x202)+E(f3(x203,x204,x201),f3(x203,x204,x202))
% 1.17/1.34 [21]~E(x211,x212)+E(f5(x211,x213),f5(x212,x213))
% 1.17/1.34 [22]~E(x221,x222)+E(f5(x223,x221),f5(x223,x222))
% 1.17/1.34 [23]~E(x231,x232)+E(f13(x231),f13(x232))
% 1.17/1.34 [24]P1(x242,x243,x244)+~E(x241,x242)+~P1(x241,x243,x244)
% 1.17/1.34 [25]P1(x253,x252,x254)+~E(x251,x252)+~P1(x253,x251,x254)
% 1.17/1.34 [26]P1(x263,x264,x262)+~E(x261,x262)+~P1(x263,x264,x261)
% 1.17/1.34
% 1.17/1.34 %-------------------------------------------
% 1.17/1.34 cnf(38,plain,
% 1.17/1.34 (E(f8(x381),f8(f1(x381)))),
% 1.17/1.34 inference(scs_inference,[],[27,2])).
% 1.17/1.34 cnf(39,plain,
% 1.17/1.34 (~P1(f4(x391,f10(a26)),f5(a14,a17),a17)),
% 1.17/1.34 inference(scs_inference,[],[28,31,27,2,34])).
% 1.17/1.34 cnf(40,plain,
% 1.17/1.34 (P1(f4(a2,f11(f9(a24),f12(f16(a24),f11(f9(a22),f11(f10(a26),f10(a27)))))),f5(a14,a17),a17)),
% 1.17/1.34 inference(scs_inference,[],[28,31,30,27,2,34,37])).
% 1.17/1.34 cnf(42,plain,
% 1.17/1.34 (E(f13(f8(f1(x421))),f13(f8(x421)))),
% 1.17/1.34 inference(scs_inference,[],[28,31,30,27,2,34,37,23])).
% 1.17/1.34 cnf(43,plain,
% 1.17/1.34 (E(f5(x431,f8(f1(x432))),f5(x431,f8(x432)))),
% 1.17/1.34 inference(scs_inference,[],[28,31,30,27,2,34,37,23,22])).
% 1.17/1.34 cnf(44,plain,
% 1.17/1.34 (E(f5(f8(f1(x441)),x442),f5(f8(x441),x442))),
% 1.17/1.34 inference(scs_inference,[],[28,31,30,27,2,34,37,23,22,21])).
% 1.17/1.34 cnf(62,plain,
% 1.17/1.34 (P1(f11(f9(a19),f12(f16(a19),f11(f9(a20),f11(f10(a23),f10(a26))))),f6(a7,a14),a21)),
% 1.17/1.34 inference(scs_inference,[],[28,31,29,30,27,2,34,37,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,35])).
% 1.17/1.34 cnf(65,plain,
% 1.17/1.34 (~P1(x651,f8(f1(x652)),x653)+P1(x651,f8(x652),x653)),
% 1.17/1.34 inference(scs_inference,[],[28,31,29,30,27,2,34,37,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,35,26,25])).
% 1.17/1.34 cnf(67,plain,
% 1.17/1.34 (~E(f13(f8(x671)),x672)+E(f13(f8(f1(x671))),x672)+P1(f8(x671),f8(x671),x673)),
% 1.17/1.34 inference(scs_inference,[],[28,31,29,30,27,2,34,37,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,35,26,25,24,3])).
% 1.17/1.34 cnf(74,plain,
% 1.17/1.34 (P1(f11(f9(a24),f12(f16(a24),f11(f9(a22),f11(f10(a26),f10(a27))))),f1(f6(a7,a14)),a21)),
% 1.17/1.34 inference(scs_inference,[],[28,40,62,32,34])).
% 1.17/1.34 cnf(80,plain,
% 1.17/1.34 (E(f5(f8(f1(x801)),f8(f1(x802))),f5(f8(x801),f8(x802)))),
% 1.17/1.34 inference(scs_inference,[],[28,29,38,43,44,39,40,62,32,34,25,24,2,3])).
% 1.17/1.34 cnf(84,plain,
% 1.17/1.34 (P1(f12(f16(a19),f11(f9(a20),f11(f10(a23),f10(a26)))),f8(f6(a7,a14)),a21)),
% 1.17/1.34 inference(scs_inference,[],[28,29,38,42,43,44,39,40,62,32,34,25,24,2,3,67,33])).
% 1.17/1.34 cnf(95,plain,
% 1.17/1.34 (~P1(f12(f16(x951),f11(f9(x952),f11(f10(a26),x953))),f8(f1(f1(f6(a7,a14)))),a21)),
% 1.17/1.34 inference(scs_inference,[],[31,27,80,74,84,28,36,25,24,2,65])).
% 1.17/1.34 cnf(96,plain,
% 1.17/1.34 (~P1(f11(x961,f12(f16(x962),f11(f9(x963),f11(f10(a26),x964)))),f8(f6(a7,a14)),a21)),
% 1.17/1.34 inference(scs_inference,[],[31,27,80,74,84,28,36,25,24,2,65,33])).
% 1.17/1.34 cnf(127,plain,
% 1.17/1.34 (~P1(f11(x1271,f12(f16(x1272),f11(f9(x1273),f11(f10(a26),x1274)))),f8(f1(f6(a7,a14))),a21)),
% 1.17/1.34 inference(scs_inference,[],[38,27,95,96,15,33,7,32,25])).
% 1.17/1.34 cnf(497,plain,
% 1.17/1.34 ($false),
% 1.17/1.34 inference(scs_inference,[],[127,74,32]),
% 1.17/1.34 ['proof']).
% 1.17/1.34 % SZS output end Proof
% 1.17/1.34 % Total time :0.690000s
%------------------------------------------------------------------------------