TSTP Solution File: SWV319-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV319-2 : 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 : 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 21:32:57 EDT 2023
% Result : Unsatisfiable 0.19s 0.70s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV319-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:52:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 % File :CSE---1.6
% 0.19/0.69 % Problem :theBenchmark
% 0.19/0.69 % Transform :cnf
% 0.19/0.69 % Format :tptp:raw
% 0.19/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.69
% 0.19/0.69 % Result :Theorem 0.080000s
% 0.19/0.69 % Output :CNFRefutation 0.080000s
% 0.19/0.69 %-------------------------------------------
% 0.19/0.70 %------------------------------------------------------------------------------
% 0.19/0.70 % File : SWV319-2 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.70 % Domain : Software Verification (Security)
% 0.19/0.70 % Problem : Cryptographic protocol problem for Otway Rees
% 0.19/0.70 % Version : [Pau06] axioms : Reduced > Especial.
% 0.19/0.70 % English :
% 0.19/0.70
% 0.19/0.70 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.19/0.70 % Source : [Pau06]
% 0.19/0.70 % Names :
% 0.19/0.70
% 0.19/0.70 % Status : Unsatisfiable
% 0.19/0.70 % 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, 0.07 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.15 v5.4.0, 0.20 v5.3.0, 0.22 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
% 0.19/0.70 % Syntax : Number of clauses : 9 ( 2 unt; 1 nHn; 9 RR)
% 0.19/0.70 % Number of literals : 16 ( 1 equ; 7 neg)
% 0.19/0.70 % Maximal clause size : 2 ( 1 avg)
% 0.19/0.70 % Maximal term depth : 7 ( 2 avg)
% 0.19/0.70 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.19/0.70 % Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% 0.19/0.70 % Number of variables : 15 ( 5 sgn)
% 0.19/0.70 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.70
% 0.19/0.70 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.19/0.70 % of which only a small selection are required for the refutation.
% 0.19/0.70 % The mission is to find those few axioms, after which a refutation
% 0.19/0.70 % can be quite easily found. This version has only the necessary
% 0.19/0.70 % axioms.
% 0.19/0.70 %------------------------------------------------------------------------------
% 0.19/0.70 cnf(cls_conjecture_1,negated_conjecture,
% 0.19/0.70 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) ).
% 0.19/0.70
% 0.19/0.70 cnf(cls_conjecture_2,negated_conjecture,
% 0.19/0.70 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.19/0.70
% 0.19/0.70 cnf(cls_conjecture_3,negated_conjecture,
% 0.19/0.70 ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
% 0.19/0.70 | ~ 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) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(cls_conjecture_6,negated_conjecture,
% 0.19/0.70 ( c_Public_OshrK(v_A) = v_K
% 0.19/0.70 | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 0.19/0.70 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.19/0.70 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(cls_Message_OMPair__analz_0,axiom,
% 0.19/0.70 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.19/0.70 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(cls_Message_OMPair__parts_0,axiom,
% 0.19/0.70 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.19/0.70 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(cls_Message_Oanalz__conj__parts_0,axiom,
% 0.19/0.70 ( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.19/0.70 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(cls_Message_Oparts_OBody__dest_0,axiom,
% 0.19/0.70 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.19/0.70 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.19/0.70
% 0.19/0.70 %------------------------------------------------------------------------------
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 % Proof found
% 0.19/0.70 % SZS status Theorem for theBenchmark
% 0.19/0.70 % SZS output start Proof
% 0.19/0.70 %ClaNum:31(EqnAxiom:22)
% 0.19/0.70 %VarNum:25(SingletonVarNum:15)
% 0.19/0.70 %MaxLitNum:2
% 0.19/0.70 %MaxfuncDepth:6
% 0.19/0.70 %SharedTerms:32
% 0.19/0.70 %goalClause: 23 24 25 30
% 0.19/0.70 %singleGoalClaCount:2
% 0.19/0.70 [24]~P1(a16,a3,a17)
% 0.19/0.70 [23]P1(f2(a1,a6,f12(f7(a19),f12(a21,f9(f13(a6),f12(f7(a22),f8(a20)))))),f4(a23,a15),a15)
% 0.19/0.70 [25]P1(a16,a3,a17)+E(f13(a16),a20)
% 0.19/0.70 [30]P1(a16,a3,a17)+~P1(f8(f13(a16)),f14(f5(a11,a23)),a18)
% 0.19/0.70 [26]~P1(x261,f10(x262),a18)+P1(x261,f14(x262),a18)
% 0.19/0.70 [27]P1(x271,f14(x272),a18)+~P1(f12(x273,x271),f14(x272),a18)
% 0.19/0.70 [28]P1(x281,f14(x282),a18)+~P1(f9(x283,x281),f14(x282),a18)
% 0.19/0.70 [29]P1(x291,f10(x292),a18)+~P1(f12(x293,x291),f10(x292),a18)
% 0.19/0.70 [31]~P1(f2(x313,x314,x311),f4(x312,a15),a15)+P1(x311,f10(f5(a11,x312)),a18)
% 0.19/0.70 %EqnAxiom
% 0.19/0.70 [1]E(x11,x11)
% 0.19/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.70 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.19/0.70 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.19/0.70 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.19/0.70 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.19/0.70 [8]~E(x81,x82)+E(f8(x81),f8(x82))
% 0.19/0.70 [9]~E(x91,x92)+E(f12(x91,x93),f12(x92,x93))
% 0.19/0.70 [10]~E(x101,x102)+E(f12(x103,x101),f12(x103,x102))
% 0.19/0.70 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.19/0.70 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.19/0.70 [13]~E(x131,x132)+E(f5(x131,x133),f5(x132,x133))
% 0.19/0.70 [14]~E(x141,x142)+E(f5(x143,x141),f5(x143,x142))
% 0.19/0.70 [15]~E(x151,x152)+E(f14(x151),f14(x152))
% 0.19/0.70 [16]~E(x161,x162)+E(f2(x161,x163,x164),f2(x162,x163,x164))
% 0.19/0.70 [17]~E(x171,x172)+E(f2(x173,x171,x174),f2(x173,x172,x174))
% 0.19/0.70 [18]~E(x181,x182)+E(f2(x183,x184,x181),f2(x183,x184,x182))
% 0.19/0.70 [19]~E(x191,x192)+E(f10(x191),f10(x192))
% 0.19/0.70 [20]P1(x202,x203,x204)+~E(x201,x202)+~P1(x201,x203,x204)
% 0.19/0.70 [21]P1(x213,x212,x214)+~E(x211,x212)+~P1(x213,x211,x214)
% 0.19/0.70 [22]P1(x223,x224,x222)+~E(x221,x222)+~P1(x223,x224,x221)
% 0.19/0.70
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 cnf(33,plain,
% 0.19/0.70 (~P1(f8(f13(a16)),f14(f5(a11,a23)),a18)),
% 0.19/0.70 inference(scs_inference,[],[24,25,30])).
% 0.19/0.70 cnf(34,plain,
% 0.19/0.70 (E(f10(f13(a16)),f10(a20))),
% 0.19/0.70 inference(scs_inference,[],[24,25,30,19])).
% 0.19/0.70 cnf(35,plain,
% 0.19/0.70 (E(f2(x351,x352,f13(a16)),f2(x351,x352,a20))),
% 0.19/0.70 inference(scs_inference,[],[24,25,30,19,18])).
% 0.19/0.70 cnf(36,plain,
% 0.19/0.70 (E(f2(x361,f13(a16),x362),f2(x361,a20,x362))),
% 0.19/0.70 inference(scs_inference,[],[24,25,30,19,18,17])).
% 0.19/0.70 cnf(37,plain,
% 0.19/0.70 (E(f2(f13(a16),x371,x372),f2(a20,x371,x372))),
% 0.19/0.70 inference(scs_inference,[],[24,25,30,19,18,17,16])).
% 0.19/0.70 cnf(39,plain,
% 0.19/0.71 (E(f5(x391,f13(a16)),f5(x391,a20))),
% 0.19/0.71 inference(scs_inference,[],[24,25,30,19,18,17,16,15,14])).
% 0.19/0.71 cnf(40,plain,
% 0.19/0.71 (E(f5(f13(a16),x401),f5(a20,x401))),
% 0.19/0.71 inference(scs_inference,[],[24,25,30,19,18,17,16,15,14,13])).
% 0.19/0.71 cnf(45,plain,
% 0.19/0.71 (E(f8(f13(a16)),f8(a20))),
% 0.19/0.71 inference(scs_inference,[],[24,25,30,19,18,17,16,15,14,13,12,11,10,9,8])).
% 0.19/0.71 cnf(50,plain,
% 0.19/0.71 (P1(f12(f7(a19),f12(a21,f9(f13(a6),f12(f7(a22),f8(a20))))),f10(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[23,24,25,30,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,31])).
% 0.19/0.71 cnf(52,plain,
% 0.19/0.71 (P1(f12(a21,f9(f13(a6),f12(f7(a22),f8(a20)))),f10(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[23,24,25,30,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,31,29])).
% 0.19/0.71 cnf(55,plain,
% 0.19/0.71 (E(a20,f13(a16))),
% 0.19/0.71 inference(scs_inference,[],[23,24,25,30,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,31,29,22,2])).
% 0.19/0.71 cnf(56,plain,
% 0.19/0.71 (~P1(f8(f13(a16)),f10(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[23,24,25,30,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,31,29,22,2,26])).
% 0.19/0.71 cnf(63,plain,
% 0.19/0.71 (~P1(f9(x631,f8(f13(a16))),f14(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[33,28])).
% 0.19/0.71 cnf(65,plain,
% 0.19/0.71 (~P1(f12(x651,f8(f13(a16))),f14(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[33,28,27])).
% 0.19/0.71 cnf(67,plain,
% 0.19/0.71 (P1(f12(f7(a19),f12(a21,f9(f13(a6),f12(f7(a22),f8(a20))))),f14(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[50,33,28,27,26])).
% 0.19/0.71 cnf(73,plain,
% 0.19/0.71 (E(f2(x731,f13(a16),f13(a16)),f2(x731,a20,a20))),
% 0.19/0.71 inference(scs_inference,[],[35,36,50,56,33,28,27,26,31,29,3])).
% 0.19/0.71 cnf(77,plain,
% 0.19/0.71 (~E(f8(f13(a16)),f12(f7(a19),f12(a21,f9(f13(a6),f12(f7(a22),f8(a20))))))),
% 0.19/0.71 inference(scs_inference,[],[35,36,50,56,33,28,27,26,31,29,3,20,2])).
% 0.19/0.71 cnf(84,plain,
% 0.19/0.71 (~P1(f9(x841,f8(f13(a16))),f10(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[63,67,27,26])).
% 0.19/0.71 cnf(86,plain,
% 0.19/0.71 (P1(f9(f13(a6),f12(f7(a22),f8(a20))),f10(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[63,52,67,27,26,29])).
% 0.19/0.71 cnf(88,plain,
% 0.19/0.71 (E(f2(a20,x881,x882),f2(f13(a16),x881,x882))),
% 0.19/0.71 inference(scs_inference,[],[37,63,52,67,27,26,29,2])).
% 0.19/0.71 cnf(90,plain,
% 0.19/0.71 (~E(f12(a21,f9(f13(a6),f12(f7(a22),f8(a20)))),f8(f13(a16)))),
% 0.19/0.71 inference(scs_inference,[],[37,77,45,63,52,67,56,27,26,29,2,3,20])).
% 0.19/0.71 cnf(99,plain,
% 0.19/0.71 (~P1(f12(x991,f12(x992,f8(f13(a16)))),f14(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[65,27])).
% 0.19/0.71 cnf(101,plain,
% 0.19/0.71 (P1(f9(f13(a6),f12(f7(a22),f8(a20))),f14(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[65,86,27,26])).
% 0.19/0.71 cnf(109,plain,
% 0.19/0.71 (P1(f12(f7(a22),f8(a20)),f14(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[88,73,90,84,65,86,27,26,29,3,2,28])).
% 0.19/0.71 cnf(120,plain,
% 0.19/0.71 (P1(f8(a20),f14(f5(a11,a23)),a18)),
% 0.19/0.71 inference(scs_inference,[],[34,99,109,28,12,27])).
% 0.19/0.71 cnf(129,plain,
% 0.19/0.71 (E(f2(x1291,f10(f13(a16)),x1292),f2(x1291,f10(a20),x1292))),
% 0.19/0.71 inference(scs_inference,[],[33,34,39,40,99,101,109,28,12,27,26,3,2,20,17])).
% 0.19/0.71 cnf(140,plain,
% 0.19/0.71 (E(f2(x1401,x1402,f10(f13(a16))),f2(x1401,x1402,f10(a20)))),
% 0.19/0.71 inference(scs_inference,[],[33,34,39,40,99,101,109,28,12,27,26,3,2,20,17,16,14,13,11,10,9,8,5,4,19,18])).
% 0.19/0.71 cnf(161,plain,
% 0.19/0.71 (E(f2(x1611,x1612,f10(f13(a16))),f2(x1611,x1612,f10(a20)))),
% 0.19/0.71 inference(rename_variables,[],[140])).
% 0.19/0.71 cnf(165,plain,
% 0.19/0.71 ($false),
% 0.19/0.71 inference(scs_inference,[],[33,140,161,55,120,129,12,3,2,20,8]),
% 0.19/0.71 ['proof']).
% 0.19/0.71 % SZS output end Proof
% 0.19/0.71 % Total time :0.080000s
%------------------------------------------------------------------------------