TSTP Solution File: SWV346-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV346-2 : 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 : n032.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 21:33:09 EDT 2023

% Result   : Unsatisfiable 0.15s 0.53s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWV346-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 29 04:46:01 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.49  start to proof:theBenchmark
% 0.15/0.53  %-------------------------------------------
% 0.15/0.53  % File        :CSE---1.6
% 0.15/0.53  % Problem     :theBenchmark
% 0.15/0.53  % Transform   :cnf
% 0.15/0.53  % Format      :tptp:raw
% 0.15/0.53  % Command     :java -jar mcs_scs.jar %d %s
% 0.15/0.53  
% 0.15/0.53  % Result      :Theorem 0.000000s
% 0.15/0.53  % Output      :CNFRefutation 0.000000s
% 0.15/0.53  %-------------------------------------------
% 0.15/0.53  %------------------------------------------------------------------------------
% 0.15/0.53  % File     : SWV346-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.53  % Domain   : Software Verification (Security)
% 0.15/0.53  % Problem  : Cryptographic protocol problem for Yahalom
% 0.15/0.53  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.15/0.53  % English  :
% 0.15/0.53  
% 0.15/0.53  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.15/0.53  % Source   : [Pau06]
% 0.15/0.53  % Names    :
% 0.15/0.53  
% 0.15/0.53  % Status   : Unsatisfiable
% 0.15/0.53  % Rating   : 0.00 v7.0.0, 0.14 v6.3.0, 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0
% 0.15/0.53  % Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
% 0.15/0.53  %            Number of literals    :    8 (   2 equ;   4 neg)
% 0.15/0.53  %            Maximal clause size   :    4 (   1 avg)
% 0.15/0.53  %            Maximal term depth    :    8 (   2 avg)
% 0.15/0.53  %            Number of predicates  :    2 (   1 usr;   0 prp; 2-3 aty)
% 0.15/0.53  %            Number of functors    :   23 (  23 usr;  14 con; 0-3 aty)
% 0.15/0.53  %            Number of variables   :   12 (   6 sgn)
% 0.15/0.53  % SPC      : CNF_UNS_RFO_SEQ_HRN
% 0.15/0.53  
% 0.15/0.53  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.15/0.53  %            of which only a small selection are required for the refutation.
% 0.15/0.53  %            The mission is to find those few axioms, after which a refutation
% 0.15/0.53  %            can be quite easily found. This version has only the necessary
% 0.15/0.53  %            axioms.
% 0.15/0.53  %------------------------------------------------------------------------------
% 0.15/0.53  cnf(cls_Yahalom_Ounique__session__keys__dest_2,axiom,
% 0.15/0.53      ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
% 0.15/0.53      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.15/0.53      | ~ 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)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.15/0.53      | V_na = V_na_H ) ).
% 0.15/0.53  
% 0.15/0.53  cnf(cls_conjecture_2,negated_conjecture,
% 0.15/0.53      c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ).
% 0.15/0.53  
% 0.15/0.53  cnf(cls_conjecture_3,negated_conjecture,
% 0.15/0.53      c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.15/0.53  
% 0.15/0.53  cnf(cls_conjecture_4,negated_conjecture,
% 0.15/0.53      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_evso,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.15/0.53  
% 0.15/0.53  cnf(cls_conjecture_7,negated_conjecture,
% 0.15/0.53      v_na != c_Message_Omsg_ONonce(v_NA) ).
% 0.15/0.53  
% 0.15/0.53  %------------------------------------------------------------------------------
% 0.15/0.53  %-------------------------------------------
% 0.15/0.53  % Proof found
% 0.15/0.53  % SZS status Theorem for theBenchmark
% 0.15/0.53  % SZS output start Proof
% 0.15/0.53  %ClaNum:25(EqnAxiom:20)
% 0.15/0.53  %VarNum:19(SingletonVarNum:12)
% 0.15/0.53  %MaxLitNum:4
% 0.15/0.53  %MaxfuncDepth:7
% 0.15/0.53  %SharedTerms:43
% 0.15/0.53  %goalClause: 21 22 23 24
% 0.15/0.53  %singleGoalClaCount:4
% 0.15/0.53  [21]P1(a1,a2,f13(a12))
% 0.15/0.53  [24]~E(f11(a19),a22)
% 0.15/0.53  [22]P1(f4(a3,a14,f10(f9(f6(a14),f10(f7(a15),f10(f8(a17),f10(a22,a23)))),f9(f6(a15),f10(f7(a14),f8(a17))))),f5(a1,a12),a12)
% 0.15/0.53  [23]P1(f4(a3,a16,f10(f9(f6(a16),f10(f7(a18),f10(f8(a17),f10(f11(a19),f11(a20))))),a21)),f5(a1,a12),a12)
% 0.15/0.53  [25]E(x251,x252)+~P1(x253,a2,f13(a12))+~P1(f4(a3,x259,f10(f9(f6(x259),f10(f7(x2510),f10(f8(x256),f10(x251,x2511)))),x2512)),f5(x253,a12),a12)+~P1(f4(a3,x254,f10(f9(f6(x254),f10(f7(x255),f10(f8(x256),f10(x252,x257)))),x258)),f5(x253,a12),a12)
% 0.15/0.53  %EqnAxiom
% 0.15/0.53  [1]E(x11,x11)
% 0.15/0.53  [2]E(x22,x21)+~E(x21,x22)
% 0.15/0.53  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.15/0.53  [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 0.15/0.53  [5]~E(x51,x52)+E(f6(x51),f6(x52))
% 0.15/0.53  [6]~E(x61,x62)+E(f7(x61),f7(x62))
% 0.15/0.53  [7]~E(x71,x72)+E(f8(x71),f8(x72))
% 0.15/0.53  [8]~E(x81,x82)+E(f10(x81,x83),f10(x82,x83))
% 0.15/0.53  [9]~E(x91,x92)+E(f10(x93,x91),f10(x93,x92))
% 0.15/0.53  [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103))
% 0.15/0.53  [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112))
% 0.15/0.53  [12]~E(x121,x122)+E(f4(x121,x123,x124),f4(x122,x123,x124))
% 0.15/0.53  [13]~E(x131,x132)+E(f4(x133,x131,x134),f4(x133,x132,x134))
% 0.15/0.53  [14]~E(x141,x142)+E(f4(x143,x144,x141),f4(x143,x144,x142))
% 0.15/0.53  [15]~E(x151,x152)+E(f11(x151),f11(x152))
% 0.15/0.53  [16]~E(x161,x162)+E(f5(x161,x163),f5(x162,x163))
% 0.15/0.53  [17]~E(x171,x172)+E(f5(x173,x171),f5(x173,x172))
% 0.15/0.53  [18]P1(x182,x183,x184)+~E(x181,x182)+~P1(x181,x183,x184)
% 0.15/0.53  [19]P1(x193,x192,x194)+~E(x191,x192)+~P1(x193,x191,x194)
% 0.15/0.53  [20]P1(x203,x204,x202)+~E(x201,x202)+~P1(x203,x204,x201)
% 0.15/0.53  
% 0.15/0.53  %-------------------------------------------
% 0.15/0.53  cnf(26,plain,
% 0.15/0.53     ($false),
% 0.15/0.53     inference(scs_inference,[],[24,21,23,22,25]),
% 0.15/0.53     ['proof']).
% 0.15/0.53  % SZS output end Proof
% 0.15/0.53  % Total time :0.000000s
%------------------------------------------------------------------------------