TSTP Solution File: SWV301-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV301-2 : 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 : n003.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 0.61s 0.71s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV301-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n003.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 09:58:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.50/0.63 start to proof:theBenchmark
% 0.61/0.70 %-------------------------------------------
% 0.61/0.70 % File :CSE---1.6
% 0.61/0.70 % Problem :theBenchmark
% 0.61/0.70 % Transform :cnf
% 0.61/0.70 % Format :tptp:raw
% 0.61/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.61/0.70
% 0.61/0.70 % Result :Theorem 0.010000s
% 0.61/0.70 % Output :CNFRefutation 0.010000s
% 0.61/0.70 %-------------------------------------------
% 0.61/0.71 %------------------------------------------------------------------------------
% 0.61/0.71 % File : SWV301-2 : TPTP v8.1.2. Released v3.2.0.
% 0.61/0.71 % Domain : Software Verification (Security)
% 0.61/0.71 % Problem : Cryptographic protocol problem for Otway Rees
% 0.61/0.71 % Version : [Pau06] axioms : Reduced > Especial.
% 0.61/0.71 % English :
% 0.61/0.71
% 0.61/0.71 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.61/0.71 % Source : [Pau06]
% 0.61/0.71 % Names :
% 0.61/0.71
% 0.61/0.71 % Status : Unsatisfiable
% 0.61/0.71 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.12 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.09 v3.7.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0
% 0.61/0.71 % Syntax : Number of clauses : 13 ( 6 unt; 3 nHn; 13 RR)
% 0.61/0.71 % Number of literals : 25 ( 1 equ; 11 neg)
% 0.61/0.71 % Maximal clause size : 3 ( 1 avg)
% 0.61/0.71 % Maximal term depth : 11 ( 2 avg)
% 0.61/0.71 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.61/0.71 % Number of functors : 29 ( 29 usr; 15 con; 0-3 aty)
% 0.61/0.71 % Number of variables : 15 ( 1 sgn)
% 0.61/0.71 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.61/0.71
% 0.61/0.71 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.61/0.71 % of which only a small selection are required for the refutation.
% 0.61/0.71 % The mission is to find those few axioms, after which a refutation
% 0.61/0.71 % can be quite easily found. This version has only the necessary
% 0.61/0.71 % axioms.
% 0.61/0.71 %------------------------------------------------------------------------------
% 0.61/0.71 cnf(cls_conjecture_0,negated_conjecture,
% 0.61/0.71 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_conjecture_1,negated_conjecture,
% 0.61/0.71 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_conjecture_2,negated_conjecture,
% 0.61/0.71 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_conjecture_3,negated_conjecture,
% 0.61/0.71 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_conjecture_4,negated_conjecture,
% 0.61/0.71 ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_conjecture_5,negated_conjecture,
% 0.61/0.71 ( 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_evsf,tc_Event_Oevent),tc_Event_Oevent)
% 0.61/0.71 | v_B = c_Message_Oagent_OSpy ) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_conjecture_8,negated_conjecture,
% 0.61/0.71 ( 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_evsf,tc_Event_Oevent),tc_Event_Oevent)
% 0.61/0.71 | ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent)
% 0.61/0.71 | ~ 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_evsf)),tc_Message_Omsg) ) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_Event_OSpy_A_58_Abad_0,axiom,
% 0.61/0.71 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_Message_OCrypt__synth_0,axiom,
% 0.61/0.71 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.61/0.71 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.61/0.71 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
% 0.61/0.71 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
% 0.61/0.71 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.61/0.71 | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 0.61/0.71 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.61/0.71 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
% 0.61/0.71 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.61/0.71 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.61/0.71 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.61/0.71
% 0.61/0.71 cnf(cls_Set_OUnE_0,axiom,
% 0.61/0.71 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
% 0.61/0.71 | c_in(V_c,V_B,T_a)
% 0.61/0.71 | c_in(V_c,V_A,T_a) ) ).
% 0.61/0.71
% 0.61/0.71 %------------------------------------------------------------------------------
% 0.61/0.71 %-------------------------------------------
% 0.61/0.71 % Proof found
% 0.61/0.71 % SZS status Theorem for theBenchmark
% 0.61/0.71 % SZS output start Proof
% 0.61/0.71 %ClaNum:43(EqnAxiom:30)
% 0.61/0.71 %VarNum:36(SingletonVarNum:15)
% 0.61/0.71 %MaxLitNum:3
% 0.61/0.71 %MaxfuncDepth:10
% 0.61/0.71 %SharedTerms:54
% 0.61/0.71 %goalClause: 32 33 34 35 36 42 43
% 0.61/0.71 %singleGoalClaCount:5
% 0.61/0.71 [31]P1(a1,a2,a7)
% 0.61/0.71 [35]~P1(a24,a2,a7)
% 0.61/0.71 [32]P1(a21,a8,f20(a16))
% 0.61/0.71 [33]P1(a22,f10(f9(f3(a1,a21))),a23)
% 0.61/0.71 [34]P1(f12(f17(a24),f14(a26,f11(a27))),f15(f18(a22,f3(a1,a21),a23)),a23)
% 0.61/0.71 [36]~P1(f4(a5,a24,f14(a28,f14(f12(f17(a25),f14(a28,f11(a27))),f12(f17(a24),f14(a26,f11(a27)))))),f6(a21,a16),a16)
% 0.61/0.71 [42]E(a24,a1)+P1(f4(a24,a5,f14(a28,f14(f13(a25),f14(f13(a24),f14(a29,f12(f17(a24),f14(a28,f14(a26,f14(f13(a25),f13(a24)))))))))),f6(a21,a16),a16)
% 0.61/0.71 [37]~P1(x371,f9(x372),a23)+P1(x371,f15(x372),a23)
% 0.61/0.71 [43]~P1(f12(f17(a24),f14(a26,f11(a27))),f15(f3(a1,a21)),a23)+P1(f4(a5,a24,f14(a28,f14(f12(f17(a25),f14(a28,f11(a27))),f12(f17(a24),f14(a26,f11(a27)))))),f6(a21,a16),a16)+~P1(f4(a24,a5,f14(a28,f14(f13(a25),f14(f13(a24),f14(x431,f12(f17(a24),f14(a28,f14(a26,f14(f13(a25),f13(a24)))))))))),f6(a21,a16),a16)
% 0.61/0.71 [39]P1(x391,a2,a7)+~P1(x392,a8,f20(a16))+~P1(f11(f17(x391)),f15(f3(a1,x392)),a23)
% 0.61/0.71 [38]P1(f11(x381),x382,a23)+P1(f12(x381,x383),x382,a23)+~P1(f12(x381,x383),f10(x382),a23)
% 0.61/0.71 [41]~P1(x413,f10(f9(x412)),a23)+~P1(x411,f15(f18(x413,x412,a23)),a23)+P1(x411,f19(f10(f9(x412)),f15(x412),a23),a23)
% 0.61/0.71 [40]P1(x401,x402,x403)+P1(x401,x404,x403)+~P1(x401,f19(x404,x402,x403),x403)
% 0.61/0.71 %EqnAxiom
% 0.61/0.71 [1]E(x11,x11)
% 0.61/0.71 [2]E(x22,x21)+~E(x21,x22)
% 0.61/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.61/0.71 [4]~E(x41,x42)+E(f20(x41),f20(x42))
% 0.61/0.71 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.61/0.71 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.61/0.71 [7]~E(x71,x72)+E(f9(x71),f9(x72))
% 0.61/0.71 [8]~E(x81,x82)+E(f10(x81),f10(x82))
% 0.61/0.71 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 0.61/0.71 [10]~E(x101,x102)+E(f11(x101),f11(x102))
% 0.61/0.71 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 0.61/0.71 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 0.61/0.71 [13]~E(x131,x132)+E(f12(x131,x133),f12(x132,x133))
% 0.61/0.71 [14]~E(x141,x142)+E(f12(x143,x141),f12(x143,x142))
% 0.61/0.71 [15]~E(x151,x152)+E(f4(x151,x153,x154),f4(x152,x153,x154))
% 0.61/0.71 [16]~E(x161,x162)+E(f4(x163,x161,x164),f4(x163,x162,x164))
% 0.61/0.71 [17]~E(x171,x172)+E(f4(x173,x174,x171),f4(x173,x174,x172))
% 0.61/0.71 [18]~E(x181,x182)+E(f18(x181,x183,x184),f18(x182,x183,x184))
% 0.61/0.71 [19]~E(x191,x192)+E(f18(x193,x191,x194),f18(x193,x192,x194))
% 0.61/0.71 [20]~E(x201,x202)+E(f18(x203,x204,x201),f18(x203,x204,x202))
% 0.61/0.71 [21]~E(x211,x212)+E(f15(x211),f15(x212))
% 0.61/0.71 [22]~E(x221,x222)+E(f13(x221),f13(x222))
% 0.61/0.71 [23]~E(x231,x232)+E(f6(x231,x233),f6(x232,x233))
% 0.61/0.71 [24]~E(x241,x242)+E(f6(x243,x241),f6(x243,x242))
% 0.61/0.71 [25]~E(x251,x252)+E(f19(x251,x253,x254),f19(x252,x253,x254))
% 0.61/0.71 [26]~E(x261,x262)+E(f19(x263,x261,x264),f19(x263,x262,x264))
% 0.61/0.71 [27]~E(x271,x272)+E(f19(x273,x274,x271),f19(x273,x274,x272))
% 0.61/0.71 [28]P1(x282,x283,x284)+~E(x281,x282)+~P1(x281,x283,x284)
% 0.61/0.71 [29]P1(x293,x292,x294)+~E(x291,x292)+~P1(x293,x291,x294)
% 0.61/0.71 [30]P1(x303,x304,x302)+~E(x301,x302)+~P1(x303,x304,x301)
% 0.61/0.71
% 0.61/0.71 %-------------------------------------------
% 0.61/0.71 cnf(48,plain,
% 0.61/0.71 (~P1(f12(f17(a24),f14(a26,f11(a27))),f15(f3(a1,a21)),a23)),
% 0.61/0.71 inference(scs_inference,[],[35,31,36,28,2,42,30,43])).
% 0.61/0.71 cnf(50,plain,
% 0.61/0.71 (~P1(f11(f17(a24)),f15(f3(a1,a21)),a23)),
% 0.61/0.71 inference(scs_inference,[],[32,35,31,36,28,2,42,30,43,39])).
% 0.61/0.71 cnf(54,plain,
% 0.61/0.71 (P1(f12(f17(a24),f14(a26,f11(a27))),f19(f10(f9(f3(a1,a21))),f15(f3(a1,a21)),a23),a23)),
% 0.61/0.71 inference(scs_inference,[],[32,35,31,33,34,36,28,2,42,30,43,39,40,41])).
% 0.61/0.71 cnf(56,plain,
% 0.61/0.71 (~P1(f12(f17(a24),f14(a26,f11(a27))),f10(f15(f3(a1,a21))),a23)),
% 0.61/0.71 inference(scs_inference,[],[32,35,31,33,34,36,28,2,42,30,43,39,40,41,38])).
% 0.61/0.71 cnf(58,plain,
% 0.61/0.71 (~P1(f12(f17(a24),f14(a26,f11(a27))),f9(f3(a1,a21)),a23)),
% 0.61/0.71 inference(scs_inference,[],[32,35,31,33,34,36,28,2,42,30,43,39,40,41,38,37])).
% 0.61/0.71 cnf(70,plain,
% 0.61/0.71 (P1(f11(f17(a24)),f9(f3(a1,a21)),a23)),
% 0.61/0.71 inference(scs_inference,[],[34,54,56,48,58,29,40,38])).
% 0.61/0.71 cnf(78,plain,
% 0.61/0.71 ($false),
% 0.61/0.71 inference(scs_inference,[],[70,50,37]),
% 0.61/0.71 ['proof']).
% 0.61/0.71 % SZS output end Proof
% 0.61/0.71 % Total time :0.010000s
%------------------------------------------------------------------------------