TSTP Solution File: SWV289-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV289-2 : 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 : n010.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 21:32:44 EDT 2023

% Result   : Unsatisfiable 0.20s 0.63s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV289-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 09:08:48 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  % File        :CSE---1.6
% 0.20/0.62  % Problem     :theBenchmark
% 0.20/0.62  % Transform   :cnf
% 0.20/0.62  % Format      :tptp:raw
% 0.20/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.62  
% 0.20/0.62  % Result      :Theorem 0.000000s
% 0.20/0.62  % Output      :CNFRefutation 0.000000s
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  %------------------------------------------------------------------------------
% 0.20/0.62  % File     : SWV289-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.62  % Domain   : Software Verification (Security)
% 0.20/0.62  % Problem  : Cryptographic protocol problem for Otway Rees
% 0.20/0.62  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.20/0.62  % English  :
% 0.20/0.62  
% 0.20/0.62  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.62  % Source   : [Pau06]
% 0.20/0.62  % Names    :
% 0.20/0.62  
% 0.20/0.63  % Status   : Unsatisfiable
% 0.20/0.63  % Rating   : 0.14 v8.1.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.38 v6.4.0, 0.25 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.00 v3.2.0
% 0.20/0.63  % Syntax   : Number of clauses     :    9 (   7 unt;   2 nHn;   9 RR)
% 0.20/0.63  %            Number of literals    :   18 (   0 equ;   9 neg)
% 0.20/0.63  %            Maximal clause size   :    6 (   2 avg)
% 0.20/0.63  %            Maximal term depth    :   11 (   2 avg)
% 0.20/0.63  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.20/0.63  %            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
% 0.20/0.63  %            Number of variables   :   14 (   2 sgn)
% 0.20/0.63  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.63  
% 0.20/0.63  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.63  %            of which only a small selection are required for the refutation.
% 0.20/0.63  %            The mission is to find those few axioms, after which a refutation
% 0.20/0.63  %            can be quite easily found. This version has only the necessary
% 0.20/0.63  %            axioms.
% 0.20/0.63  %------------------------------------------------------------------------------
% 0.20/0.63  cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.63      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_H,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_evs,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.20/0.63  
% 0.20/0.63  cnf(cls_conjecture_1,negated_conjecture,
% 0.20/0.63      c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,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_evs,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.20/0.63  
% 0.20/0.63  cnf(cls_conjecture_2,negated_conjecture,
% 0.20/0.63      ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.20/0.63  
% 0.20/0.63  cnf(cls_conjecture_3,negated_conjecture,
% 0.20/0.63      ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.20/0.63  
% 0.20/0.63  cnf(cls_conjecture_4,negated_conjecture,
% 0.20/0.63      ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.20/0.63  
% 0.20/0.63  cnf(cls_conjecture_5,negated_conjecture,
% 0.20/0.63      c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.20/0.63  
% 0.20/0.63  cnf(cls_conjecture_6,negated_conjecture,
% 0.20/0.63      c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ).
% 0.20/0.63  
% 0.20/0.63  cnf(cls_OtwayRees_OB__trusts__OR3__dest_0,axiom,
% 0.20/0.63      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.20/0.63      | ~ c_in(c_Event_Oevent_OGets(V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_X,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_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.20/0.63      | ~ 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_H,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_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.20/0.63      | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.20/0.63      | 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_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0,axiom,
% 0.20/0.63      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.20/0.63      | ~ 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_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.20/0.63      | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.20/0.63      | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.20/0.63      | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.20/0.63      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.20/0.63  
% 0.20/0.63  %------------------------------------------------------------------------------
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  % Proof found
% 0.20/0.63  % SZS status Theorem for theBenchmark
% 0.20/0.63  % SZS output start Proof
% 0.20/0.63  %ClaNum:9(EqnAxiom:0)
% 0.20/0.63  %VarNum:47(SingletonVarNum:14)
% 0.20/0.63  %MaxLitNum:6
% 0.20/0.63  %MaxfuncDepth:10
% 0.20/0.63  %SharedTerms:46
% 0.20/0.63  %goalClause: 1 2 3 4 5 6 7
% 0.20/0.63  %singleGoalClaCount:7
% 0.20/0.63  [5]~P1(a22,a7,a21)
% 0.20/0.63  [6]~P1(a23,a7,a21)
% 0.20/0.63  [1]P1(a1,a2,f18(a16))
% 0.20/0.63  [2]P1(f3(a19),f12(f5(a4,a1)),a20)
% 0.20/0.63  [7]~P1(f9(a4,f15(a24,f15(a26,f3(a19)))),f10(a1,a16),a16)
% 0.20/0.63  [3]P1(f6(a22,f15(a24,f15(a25,f13(f17(a22),f15(a26,f3(a19)))))),f10(a1,a16),a16)
% 0.20/0.63  [4]P1(f8(a22,a11,f15(a24,f15(f14(a23),f15(f14(a22),f15(a27,f13(f17(a22),f15(a24,f15(a26,f15(f14(a23),f14(a22)))))))))),f10(a1,a16),a16)
% 0.20/0.63  [9]P1(x91,a7,a21)+~P1(x96,a2,f18(a16))+~P1(f6(x91,f15(x92,f15(x97,f13(f17(x91),f15(x95,f3(x94)))))),f10(x96,a16),a16)+P1(f8(a11,x91,f15(x92,f15(f13(f17(x93),f15(x92,f3(x94))),f13(f17(x91),f15(x95,f3(x94)))))),f10(x96,a16),a16)+~P1(f8(x91,a11,f15(x92,f15(f14(x93),f15(f14(x91),f15(x98,f13(f17(x91),f15(x92,f15(x95,f15(f14(x93),f14(x91)))))))))),f10(x96,a16),a16)
% 0.20/0.63  [8]P1(x81,a7,a21)+P1(x82,a7,a21)+~P1(x86,a2,f18(a16))+~P1(f3(x85),f12(f5(a4,x86)),a20)+P1(f9(a4,f15(x83,f15(x84,f3(x85)))),f10(x86,a16),a16)+~P1(f8(a11,x82,f15(x83,f15(f13(f17(x81),f15(x83,f3(x85))),f13(f17(x82),f15(x84,f3(x85)))))),f10(x86,a16),a16)
% 0.20/0.63  %EqnAxiom
% 0.20/0.63  
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  cnf(11,plain,
% 0.20/0.63     ($false),
% 0.20/0.63     inference(scs_inference,[],[1,5,6,2,7,3,4,9,8]),
% 0.20/0.63     ['proof']).
% 0.20/0.63  % SZS output end Proof
% 0.20/0.63  % Total time :0.000000s
%------------------------------------------------------------------------------