TSTP Solution File: SWV342-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV342-2 : 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 : n008.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 21:33:07 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
% 0.00/0.13 % Problem : SWV342-2 : 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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 09:52:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.65 %-------------------------------------------
% 0.21/0.65 % File :CSE---1.6
% 0.21/0.65 % Problem :theBenchmark
% 0.21/0.65 % Transform :cnf
% 0.21/0.65 % Format :tptp:raw
% 0.21/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.65
% 0.21/0.65 % Result :Theorem 0.010000s
% 0.21/0.65 % Output :CNFRefutation 0.010000s
% 0.21/0.65 %-------------------------------------------
% 0.21/0.65 %------------------------------------------------------------------------------
% 0.21/0.65 % File : SWV342-2 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.65 % Domain : Software Verification (Security)
% 0.21/0.65 % Problem : Cryptographic protocol problem for Yahalom
% 0.21/0.65 % Version : [Pau06] axioms : Reduced > Especial.
% 0.21/0.65 % English :
% 0.21/0.65
% 0.21/0.65 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.21/0.65 % Source : [Pau06]
% 0.21/0.65 % Names :
% 0.21/0.65
% 0.21/0.65 % Status : Unsatisfiable
% 0.21/0.65 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.25 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0
% 0.21/0.65 % Syntax : Number of clauses : 9 ( 3 unt; 0 nHn; 8 RR)
% 0.21/0.65 % Number of literals : 15 ( 1 equ; 7 neg)
% 0.21/0.65 % Maximal clause size : 2 ( 1 avg)
% 0.21/0.65 % Maximal term depth : 7 ( 2 avg)
% 0.21/0.65 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.21/0.65 % Number of functors : 21 ( 21 usr; 10 con; 0-3 aty)
% 0.21/0.65 % Number of variables : 18 ( 5 sgn)
% 0.21/0.65 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.65
% 0.21/0.65 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.21/0.65 % of which only a small selection are required for the refutation.
% 0.21/0.65 % The mission is to find those few axioms, after which a refutation
% 0.21/0.65 % can be quite easily found. This version has only the necessary
% 0.21/0.65 % axioms.
% 0.21/0.65 %------------------------------------------------------------------------------
% 0.21/0.65 cnf(cls_conjecture_3,negated_conjecture,
% 0.21/0.65 ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ).
% 0.21/0.65
% 0.21/0.65 cnf(cls_conjecture_9,negated_conjecture,
% 0.21/0.65 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(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.21/0.65
% 0.21/0.65 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 0.21/0.65 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.21/0.65 | 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_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
% 0.21/0.66 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.21/0.66 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(cls_Message_OMPair__analz_0,axiom,
% 0.21/0.66 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.21/0.66 | c_in(V_Y,c_Message_Oanalz(V_H),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_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 cnf(cls_Message_Oparts_OInj_0,axiom,
% 0.21/0.66 ( ~ c_in(V_X,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 cnf(cls_Message_Oparts__analz_0,axiom,
% 0.21/0.66 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 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:32(EqnAxiom:23)
% 0.21/0.66 %VarNum:31(SingletonVarNum:18)
% 0.21/0.66 %MaxLitNum:2
% 0.21/0.66 %MaxfuncDepth:5
% 0.21/0.66 %SharedTerms:27
% 0.21/0.66 %goalClause: 25 26
% 0.21/0.66 %singleGoalClaCount:2
% 0.21/0.66 [26]~P1(f10(a18),f5(a20),a16)
% 0.21/0.66 [25]P1(f3(a2,a13,f12(f11(f14(a13),f12(f9(a17),f12(f10(a18),f12(a19,a21)))),f11(f14(a17),f12(f9(a13),f10(a18))))),f4(a20,a15),a15)
% 0.21/0.66 [24]E(f8(f1(x241)),f8(x241))
% 0.21/0.66 [27]~P1(x271,x272,a16)+P1(x271,f8(x272),a16)
% 0.21/0.66 [31]P1(x311,f5(x312),a16)+~P1(x311,f8(f6(a7,x312)),a16)
% 0.21/0.66 [28]P1(x281,f1(x282),a16)+~P1(f12(x283,x281),f1(x282),a16)
% 0.21/0.66 [29]P1(x291,f8(x292),a16)+~P1(f12(x293,x291),f8(x292),a16)
% 0.21/0.66 [30]P1(x301,f8(x302),a16)+~P1(f11(x303,x301),f8(x302),a16)
% 0.21/0.66 [32]~P1(f3(x323,x324,x321),f4(x322,a15),a15)+P1(x321,f1(f6(a7,x322)),a16)
% 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(f1(x41),f1(x42))
% 0.21/0.66 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 0.21/0.66 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.21/0.66 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.21/0.66 [8]~E(x81,x82)+E(f14(x81),f14(x82))
% 0.21/0.66 [9]~E(x91,x92)+E(f9(x91),f9(x92))
% 0.21/0.66 [10]~E(x101,x102)+E(f10(x101),f10(x102))
% 0.21/0.66 [11]~E(x111,x112)+E(f12(x111,x113),f12(x112,x113))
% 0.21/0.66 [12]~E(x121,x122)+E(f12(x123,x121),f12(x123,x122))
% 0.21/0.66 [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133))
% 0.21/0.66 [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142))
% 0.21/0.66 [15]~E(x151,x152)+E(f11(x151,x153),f11(x152,x153))
% 0.21/0.66 [16]~E(x161,x162)+E(f11(x163,x161),f11(x163,x162))
% 0.21/0.66 [17]~E(x171,x172)+E(f3(x171,x173,x174),f3(x172,x173,x174))
% 0.21/0.66 [18]~E(x181,x182)+E(f3(x183,x181,x184),f3(x183,x182,x184))
% 0.21/0.66 [19]~E(x191,x192)+E(f3(x193,x194,x191),f3(x193,x194,x192))
% 0.21/0.66 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 0.21/0.66 [21]P1(x212,x213,x214)+~E(x211,x212)+~P1(x211,x213,x214)
% 0.21/0.66 [22]P1(x223,x222,x224)+~E(x221,x222)+~P1(x223,x221,x224)
% 0.21/0.66 [23]P1(x233,x234,x232)+~E(x231,x232)+~P1(x233,x234,x231)
% 0.21/0.66
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 cnf(33,plain,
% 0.21/0.66 (E(f8(x331),f8(f1(x331)))),
% 0.21/0.66 inference(scs_inference,[],[24,2])).
% 0.21/0.66 cnf(34,plain,
% 0.21/0.66 (E(f5(f8(f1(x341))),f5(f8(x341)))),
% 0.21/0.66 inference(scs_inference,[],[24,2,20])).
% 0.21/0.66 cnf(53,plain,
% 0.21/0.66 (P1(f12(f11(f14(a13),f12(f9(a17),f12(f10(a18),f12(a19,a21)))),f11(f14(a17),f12(f9(a13),f10(a18)))),f1(f6(a7,a20)),a16)),
% 0.21/0.66 inference(scs_inference,[],[25,26,24,2,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,31,32])).
% 0.21/0.66 cnf(58,plain,
% 0.21/0.66 (~P1(f10(a18),f8(f1(f6(a7,a20))),a16)),
% 0.21/0.66 inference(scs_inference,[],[25,26,24,2,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,31,32,28,23,22])).
% 0.21/0.66 cnf(66,plain,
% 0.21/0.66 (~P1(f11(x661,f10(a18)),f8(f1(f6(a7,a20))),a16)),
% 0.21/0.66 inference(scs_inference,[],[58,30])).
% 0.21/0.66 cnf(68,plain,
% 0.21/0.66 (~P1(f12(x681,f10(a18)),f8(f1(f6(a7,a20))),a16)),
% 0.21/0.66 inference(scs_inference,[],[58,30,29])).
% 0.21/0.66 cnf(70,plain,
% 0.21/0.66 (P1(f12(f11(f14(a13),f12(f9(a17),f12(f10(a18),f12(a19,a21)))),f11(f14(a17),f12(f9(a13),f10(a18)))),f8(f1(f6(a7,a20))),a16)),
% 0.21/0.66 inference(scs_inference,[],[53,58,30,29,27])).
% 0.21/0.66 cnf(92,plain,
% 0.21/0.66 ($false),
% 0.21/0.66 inference(scs_inference,[],[33,34,70,66,68,29,27,22,2,32,30]),
% 0.21/0.66 ['proof']).
% 0.21/0.66 % SZS output end Proof
% 0.21/0.66 % Total time :0.010000s
%------------------------------------------------------------------------------