TSTP Solution File: SWV324-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV324-2 : 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 : n025.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 21:32:59 EDT 2023
% Result : Unsatisfiable 0.21s 0.66s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV324-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 08:28:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 % File :CSE---1.6
% 0.21/0.66 % Problem :theBenchmark
% 0.21/0.66 % Transform :cnf
% 0.21/0.66 % Format :tptp:raw
% 0.21/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.66
% 0.21/0.66 % Result :Theorem 0.040000s
% 0.21/0.66 % Output :CNFRefutation 0.040000s
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 %------------------------------------------------------------------------------
% 0.21/0.66 % File : SWV324-2 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.66 % Domain : Software Verification (Security)
% 0.21/0.66 % Problem : Cryptographic protocol problem for Otway Rees
% 0.21/0.66 % Version : [Pau06] axioms : Reduced > Especial.
% 0.21/0.66 % English :
% 0.21/0.66
% 0.21/0.66 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.21/0.66 % Source : [Pau06]
% 0.21/0.66 % Names :
% 0.21/0.66
% 0.21/0.66 % Status : Unsatisfiable
% 0.21/0.66 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.17 v5.2.0, 0.12 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.00 v4.0.0, 0.09 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0
% 0.21/0.66 % Syntax : Number of clauses : 8 ( 2 unt; 1 nHn; 8 RR)
% 0.21/0.66 % Number of literals : 14 ( 1 equ; 6 neg)
% 0.21/0.66 % Maximal clause size : 2 ( 1 avg)
% 0.21/0.66 % Maximal term depth : 7 ( 2 avg)
% 0.21/0.66 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.21/0.66 % Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% 0.21/0.66 % Number of variables : 12 ( 4 sgn)
% 0.21/0.66 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.66
% 0.21/0.66 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.21/0.66 % of which only a small selection are required for the refutation.
% 0.21/0.66 % The mission is to find those few axioms, after which a refutation
% 0.21/0.66 % can be quite easily found. This version has only the necessary
% 0.21/0.66 % axioms.
% 0.21/0.66 %------------------------------------------------------------------------------
% 0.21/0.66 cnf(cls_conjecture_1,negated_conjecture,
% 0.21/0.66 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.21/0.66
% 0.21/0.66 cnf(cls_conjecture_2,negated_conjecture,
% 0.21/0.66 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.21/0.66
% 0.21/0.66 cnf(cls_conjecture_3,negated_conjecture,
% 0.21/0.66 ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
% 0.21/0.66 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(cls_conjecture_6,negated_conjecture,
% 0.21/0.66 ( c_Public_OshrK(v_A) = v_K
% 0.21/0.66 | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 0.21/0.66 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.21/0.66 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(cls_Message_OMPair__parts_0,axiom,
% 0.21/0.66 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.21/0.66 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 0.21/0.66 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.21/0.66 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(cls_Message_Oparts_OBody__dest_0,axiom,
% 0.21/0.66 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.21/0.66 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.21/0.66
% 0.21/0.66 %------------------------------------------------------------------------------
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 % Proof found
% 0.21/0.66 % SZS status Theorem for theBenchmark
% 0.21/0.66 % SZS output start Proof
% 0.21/0.66 %ClaNum:30(EqnAxiom:22)
% 0.21/0.66 %VarNum:20(SingletonVarNum:12)
% 0.21/0.66 %MaxLitNum:2
% 0.21/0.66 %MaxfuncDepth:6
% 0.21/0.66 %SharedTerms:32
% 0.21/0.66 %goalClause: 23 24 25 29
% 0.21/0.66 %singleGoalClaCount:2
% 0.21/0.66 [24]~P1(a16,a3,a17)
% 0.21/0.66 [23]P1(f2(a1,a6,f12(f7(a19),f12(a21,f9(f13(a6),f12(f7(a22),f8(a20)))))),f4(a23,a15),a15)
% 0.21/0.66 [25]P1(a16,a3,a17)+E(f13(a16),a20)
% 0.21/0.66 [29]P1(a16,a3,a17)+~P1(f8(f13(a16)),f14(f5(a11,a23)),a18)
% 0.21/0.66 [26]~P1(x261,f10(x262),a18)+P1(x261,f14(x262),a18)
% 0.21/0.66 [27]P1(x271,f14(x272),a18)+~P1(f12(x273,x271),f14(x272),a18)
% 0.21/0.66 [28]P1(x281,f14(x282),a18)+~P1(f9(x283,x281),f14(x282),a18)
% 0.21/0.66 [30]~P1(f2(x303,x304,x301),f4(x302,a15),a15)+P1(x301,f10(f5(a11,x302)),a18)
% 0.21/0.66 %EqnAxiom
% 0.21/0.66 [1]E(x11,x11)
% 0.21/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.66 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.21/0.66 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.21/0.66 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.21/0.66 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.21/0.66 [8]~E(x81,x82)+E(f8(x81),f8(x82))
% 0.21/0.66 [9]~E(x91,x92)+E(f12(x91,x93),f12(x92,x93))
% 0.21/0.66 [10]~E(x101,x102)+E(f12(x103,x101),f12(x103,x102))
% 0.21/0.66 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.21/0.66 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.21/0.66 [13]~E(x131,x132)+E(f5(x131,x133),f5(x132,x133))
% 0.21/0.66 [14]~E(x141,x142)+E(f5(x143,x141),f5(x143,x142))
% 0.21/0.66 [15]~E(x151,x152)+E(f14(x151),f14(x152))
% 0.21/0.66 [16]~E(x161,x162)+E(f2(x161,x163,x164),f2(x162,x163,x164))
% 0.21/0.66 [17]~E(x171,x172)+E(f2(x173,x171,x174),f2(x173,x172,x174))
% 0.21/0.66 [18]~E(x181,x182)+E(f2(x183,x184,x181),f2(x183,x184,x182))
% 0.21/0.66 [19]~E(x191,x192)+E(f10(x191),f10(x192))
% 0.21/0.66 [20]P1(x202,x203,x204)+~E(x201,x202)+~P1(x201,x203,x204)
% 0.21/0.66 [21]P1(x213,x212,x214)+~E(x211,x212)+~P1(x213,x211,x214)
% 0.21/0.66 [22]P1(x223,x224,x222)+~E(x221,x222)+~P1(x223,x224,x221)
% 0.21/0.66
% 0.21/0.66 %-------------------------------------------
% 0.21/0.67 cnf(32,plain,
% 0.21/0.67 (~P1(f8(f13(a16)),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[24,25,29])).
% 0.21/0.67 cnf(33,plain,
% 0.21/0.67 (E(f10(f13(a16)),f10(a20))),
% 0.21/0.67 inference(scs_inference,[],[24,25,29,19])).
% 0.21/0.67 cnf(38,plain,
% 0.21/0.67 (E(f5(x381,f13(a16)),f5(x381,a20))),
% 0.21/0.67 inference(scs_inference,[],[24,25,29,19,18,17,16,15,14])).
% 0.21/0.67 cnf(39,plain,
% 0.21/0.67 (E(f5(f13(a16),x391),f5(a20,x391))),
% 0.21/0.67 inference(scs_inference,[],[24,25,29,19,18,17,16,15,14,13])).
% 0.21/0.67 cnf(49,plain,
% 0.21/0.67 (P1(f12(f7(a19),f12(a21,f9(f13(a6),f12(f7(a22),f8(a20))))),f10(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[23,24,25,29,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,30])).
% 0.21/0.67 cnf(52,plain,
% 0.21/0.67 (E(a20,f13(a16))),
% 0.21/0.67 inference(scs_inference,[],[23,24,25,29,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,30,22,2])).
% 0.21/0.67 cnf(53,plain,
% 0.21/0.67 (~P1(f8(f13(a16)),f10(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[23,24,25,29,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,30,22,2,26])).
% 0.21/0.67 cnf(62,plain,
% 0.21/0.67 (~P1(f12(x621,f8(f13(a16))),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[32,28,27])).
% 0.21/0.67 cnf(66,plain,
% 0.21/0.67 (P1(f12(f7(a19),f12(a21,f9(f13(a6),f12(f7(a22),f8(a20))))),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[49,53,32,28,27,30,26])).
% 0.21/0.67 cnf(77,plain,
% 0.21/0.67 (P1(f12(a21,f9(f13(a6),f12(f7(a22),f8(a20)))),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[66,27])).
% 0.21/0.67 cnf(91,plain,
% 0.21/0.67 (~P1(f12(x911,f12(x912,f8(f13(a16)))),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[62,27])).
% 0.21/0.67 cnf(109,plain,
% 0.21/0.67 (P1(f12(f7(a22),f8(a20)),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[33,38,39,77,27,10,3,2,28])).
% 0.21/0.67 cnf(112,plain,
% 0.21/0.67 (E(f2(x1121,f10(f13(a16)),x1122),f2(x1121,f10(a20),x1122))),
% 0.21/0.67 inference(scs_inference,[],[33,38,39,77,27,10,3,2,28,19,17])).
% 0.21/0.67 cnf(118,plain,
% 0.21/0.67 (E(f2(x1181,x1182,f10(f13(a16))),f2(x1181,x1182,f10(a20)))),
% 0.21/0.67 inference(scs_inference,[],[33,38,39,77,27,10,3,2,28,19,17,13,12,11,9,8,18])).
% 0.21/0.67 cnf(129,plain,
% 0.21/0.67 (~P1(f9(x1291,f12(x1292,f12(x1293,f8(f13(a16))))),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[91,28])).
% 0.21/0.67 cnf(131,plain,
% 0.21/0.67 (~P1(f12(x1311,f12(x1312,f12(x1313,f8(f13(a16))))),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[91,28,27])).
% 0.21/0.67 cnf(142,plain,
% 0.21/0.67 (E(f12(f2(x1421,x1422,f10(f13(a16))),x1423),f12(f2(x1421,x1422,f10(a20)),x1423))),
% 0.21/0.67 inference(scs_inference,[],[118,9])).
% 0.21/0.67 cnf(143,plain,
% 0.21/0.67 (P1(f8(a20),f14(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[118,109,9,27])).
% 0.21/0.67 cnf(146,plain,
% 0.21/0.67 (E(f12(x1461,f2(x1462,x1463,f10(f13(a16)))),f12(x1461,f2(x1462,x1463,f10(a20))))),
% 0.21/0.67 inference(scs_inference,[],[118,109,9,27,4,10])).
% 0.21/0.67 cnf(148,plain,
% 0.21/0.67 (E(f2(x1481,x1482,f10(f13(a16))),f2(x1481,x1482,f10(a20)))),
% 0.21/0.67 inference(rename_variables,[],[118])).
% 0.21/0.67 cnf(150,plain,
% 0.21/0.67 (~E(f12(f7(a22),f8(a20)),f8(f13(a16)))),
% 0.21/0.67 inference(scs_inference,[],[32,118,109,112,9,27,4,10,3,20])).
% 0.21/0.67 cnf(152,plain,
% 0.21/0.67 (~P1(f9(x1521,f12(x1522,f12(x1523,f8(f13(a16))))),f10(f5(a11,a23)),a18)),
% 0.21/0.67 inference(scs_inference,[],[32,118,148,129,109,112,9,27,4,10,3,20,2,26])).
% 0.21/0.67 cnf(168,plain,
% 0.21/0.67 ($false),
% 0.21/0.67 inference(scs_inference,[],[32,142,146,52,150,152,131,143,28,30,27,3,20,2,8]),
% 0.21/0.67 ['proof']).
% 0.21/0.67 % SZS output end Proof
% 0.21/0.67 % Total time :0.040000s
%------------------------------------------------------------------------------