TSTP Solution File: SWV302-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV302-2 : 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 : n031.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 21:32:50 EDT 2023
% Result : Unsatisfiable 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV302-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 03:56:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.010000s
% 0.20/0.63 % Output :CNFRefutation 0.010000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 % File : SWV302-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.64 % Domain : Software Verification (Security)
% 0.20/0.64 % Problem : Cryptographic protocol problem for Otway Rees
% 0.20/0.64 % Version : [Pau06] axioms : Reduced > Especial.
% 0.20/0.64 % English :
% 0.20/0.64
% 0.20/0.64 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.64 % Source : [Pau06]
% 0.20/0.64 % Names :
% 0.20/0.64
% 0.20/0.64 % Status : Unsatisfiable
% 0.20/0.64 % 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 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.00 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0
% 0.20/0.64 % Syntax : Number of clauses : 8 ( 3 unt; 1 nHn; 8 RR)
% 0.20/0.64 % Number of literals : 14 ( 1 equ; 7 neg)
% 0.20/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.20/0.64 % Maximal term depth : 11 ( 2 avg)
% 0.20/0.64 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.20/0.64 % Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% 0.20/0.64 % Number of variables : 9 ( 3 sgn)
% 0.20/0.64 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.64
% 0.20/0.64 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.64 % of which only a small selection are required for the refutation.
% 0.20/0.64 % The mission is to find those few axioms, after which a refutation
% 0.20/0.64 % can be quite easily found. This version has only the necessary
% 0.20/0.64 % axioms.
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 cnf(cls_conjecture_13,negated_conjecture,
% 0.20/0.64 ( 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_x,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_evs2,tc_Event_Oevent),tc_Event_Oevent)
% 0.20/0.64 | v_NB = c_Message_Omsg_ONonce(v_NBa) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_conjecture_16,negated_conjecture,
% 0.20/0.64 ( 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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
% 0.20/0.64 | ~ 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_U,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_evs2,tc_Event_Oevent),tc_Event_Oevent)
% 0.20/0.64 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_conjecture_2,negated_conjecture,
% 0.20/0.64 ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_conjecture_4,negated_conjecture,
% 0.20/0.64 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_conjecture_5,negated_conjecture,
% 0.20/0.64 ~ 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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
% 0.20/0.64 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.20/0.64 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_Message_OMPair__parts_1,axiom,
% 0.20/0.64 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.20/0.64 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_Message_Oparts_OBody__dest_0,axiom,
% 0.20/0.64 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.20/0.64 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:31(EqnAxiom:23)
% 0.20/0.64 %VarNum:15(SingletonVarNum:9)
% 0.20/0.64 %MaxLitNum:3
% 0.20/0.64 %MaxfuncDepth:10
% 0.20/0.64 %SharedTerms:45
% 0.20/0.64 %goalClause: 24 25 26 30 31
% 0.20/0.64 %singleGoalClaCount:3
% 0.20/0.64 [25]~P1(f14(a22),f8(a21),a15)
% 0.20/0.64 [24]P1(f4(f2(a1),f12(a18,f3(a19))),f13(f6(a5,a21)),a15)
% 0.20/0.64 [26]~P1(f7(a9,a1,f12(a20,f12(f4(f2(a17),f12(a20,f3(a19))),f4(f2(a1),f12(a18,f3(a19)))))),f10(a21,a16),a16)
% 0.20/0.64 [30]E(f14(a22),a18)+P1(f7(a1,a9,f12(a20,f12(f11(a17),f12(f11(a1),f12(a23,f4(f2(a1),f12(a20,f12(a18,f12(f11(a17),f11(a1)))))))))),f10(a21,a16),a16)
% 0.20/0.64 [29]P1(x291,f8(x292),a15)+~P1(x291,f13(f6(a5,x292)),a15)
% 0.20/0.64 [27]P1(x271,f13(x272),a15)+~P1(f4(x273,x271),f13(x272),a15)
% 0.20/0.64 [28]P1(x281,f13(x282),a15)+~P1(f12(x281,x283),f13(x282),a15)
% 0.20/0.64 [31]~P1(f4(f2(a1),f12(a18,f3(a19))),f13(f6(a5,a21)),a15)+P1(f7(a9,a1,f12(a20,f12(f4(f2(a17),f12(a20,f3(a19))),f4(f2(a1),f12(a18,f3(a19)))))),f10(a21,a16),a16)+~P1(f7(a1,a9,f12(a20,f12(f11(a17),f12(f11(a1),f12(x311,f4(f2(a1),f12(a20,f12(a18,f12(f11(a17),f11(a1)))))))))),f10(a21,a16),a16)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64 [1]E(x11,x11)
% 0.20/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.64 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.20/0.64 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.20/0.64 [6]~E(x61,x62)+E(f12(x61,x63),f12(x62,x63))
% 0.20/0.64 [7]~E(x71,x72)+E(f12(x73,x71),f12(x73,x72))
% 0.20/0.64 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.20/0.64 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.20/0.64 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 0.20/0.64 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 0.20/0.64 [12]~E(x121,x122)+E(f13(x121),f13(x122))
% 0.20/0.64 [13]~E(x131,x132)+E(f14(x131),f14(x132))
% 0.20/0.64 [14]~E(x141,x142)+E(f8(x141),f8(x142))
% 0.20/0.64 [15]~E(x151,x152)+E(f10(x151,x153),f10(x152,x153))
% 0.20/0.64 [16]~E(x161,x162)+E(f10(x163,x161),f10(x163,x162))
% 0.20/0.64 [17]~E(x171,x172)+E(f7(x171,x173,x174),f7(x172,x173,x174))
% 0.20/0.64 [18]~E(x181,x182)+E(f7(x183,x181,x184),f7(x183,x182,x184))
% 0.20/0.64 [19]~E(x191,x192)+E(f7(x193,x194,x191),f7(x193,x194,x192))
% 0.20/0.64 [20]~E(x201,x202)+E(f11(x201),f11(x202))
% 0.20/0.64 [21]P1(x212,x213,x214)+~E(x211,x212)+~P1(x211,x213,x214)
% 0.20/0.64 [22]P1(x223,x222,x224)+~E(x221,x222)+~P1(x223,x221,x224)
% 0.20/0.64 [23]P1(x233,x234,x232)+~E(x231,x232)+~P1(x233,x234,x231)
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.65 cnf(35,plain,
% 0.20/0.65 (P1(f12(a18,f3(a19)),f13(f6(a5,a21)),a15)),
% 0.20/0.65 inference(scs_inference,[],[24,25,29,21,2,27])).
% 0.20/0.65 cnf(39,plain,
% 0.20/0.65 (E(f14(a22),a18)),
% 0.20/0.65 inference(scs_inference,[],[24,25,26,29,21,2,27,23,31,30])).
% 0.20/0.65 cnf(40,plain,
% 0.20/0.65 (P1(a18,f13(f6(a5,a21)),a15)),
% 0.20/0.65 inference(scs_inference,[],[24,25,26,29,21,2,27,23,31,30,28])).
% 0.20/0.65 cnf(43,plain,
% 0.20/0.65 (~E(a18,f4(f2(a1),f12(a18,f3(a19))))),
% 0.20/0.65 inference(scs_inference,[],[24,25,26,29,21,2,27,23,31,30,28,22,3])).
% 0.20/0.65 cnf(62,plain,
% 0.20/0.65 (E(a18,f14(a22))),
% 0.20/0.65 inference(scs_inference,[],[39,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2])).
% 0.20/0.65 cnf(63,plain,
% 0.20/0.65 (~P1(f14(a22),f13(f6(a5,a21)),a15)),
% 0.20/0.65 inference(scs_inference,[],[25,39,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2,29])).
% 0.20/0.65 cnf(65,plain,
% 0.20/0.65 (~P1(a18,f8(a21),a15)),
% 0.20/0.65 inference(scs_inference,[],[25,39,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2,29,21])).
% 0.20/0.65 cnf(79,plain,
% 0.20/0.65 ($false),
% 0.20/0.65 inference(scs_inference,[],[43,35,63,40,62,65,29,22,2,21]),
% 0.20/0.65 ['proof']).
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time :0.010000s
%------------------------------------------------------------------------------