TSTP Solution File: SWV288-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV288-2 : 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 : n007.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 0.49s 0.61s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV288-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 03:09:28 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.48/0.55 start to proof:theBenchmark
% 0.49/0.60 %-------------------------------------------
% 0.49/0.60 % File :CSE---1.6
% 0.49/0.60 % Problem :theBenchmark
% 0.49/0.60 % Transform :cnf
% 0.49/0.60 % Format :tptp:raw
% 0.49/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.49/0.60
% 0.49/0.60 % Result :Theorem 0.000000s
% 0.49/0.60 % Output :CNFRefutation 0.000000s
% 0.49/0.60 %-------------------------------------------
% 0.49/0.60 %------------------------------------------------------------------------------
% 0.49/0.61 % File : SWV288-2 : TPTP v8.1.2. Released v3.2.0.
% 0.49/0.61 % Domain : Software Verification (Security)
% 0.49/0.61 % Problem : Cryptographic protocol problem for Otway Rees
% 0.49/0.61 % Version : [Pau06] axioms : Reduced > Especial.
% 0.49/0.61 % English :
% 0.49/0.61
% 0.49/0.61 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.49/0.61 % Source : [Pau06]
% 0.49/0.61 % Names :
% 0.49/0.61
% 0.49/0.61 % Status : Unsatisfiable
% 0.49/0.61 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.38 v6.3.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0
% 0.49/0.61 % Syntax : Number of clauses : 9 ( 5 unt; 1 nHn; 9 RR)
% 0.49/0.61 % Number of literals : 16 ( 0 equ; 8 neg)
% 0.49/0.61 % Maximal clause size : 5 ( 1 avg)
% 0.49/0.61 % Maximal term depth : 9 ( 2 avg)
% 0.49/0.61 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.49/0.61 % Number of functors : 25 ( 25 usr; 13 con; 0-5 aty)
% 0.49/0.61 % Number of variables : 15 ( 4 sgn)
% 0.49/0.61 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.49/0.61
% 0.49/0.61 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.49/0.61 % of which only a small selection are required for the refutation.
% 0.49/0.61 % The mission is to find those few axioms, after which a refutation
% 0.49/0.61 % can be quite easily found. This version has only the necessary
% 0.49/0.61 % axioms.
% 0.49/0.61 %------------------------------------------------------------------------------
% 0.49/0.61 cnf(cls_conjecture_0,negated_conjecture,
% 0.49/0.61 c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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) ).
% 0.49/0.61
% 0.49/0.61 cnf(cls_conjecture_1,negated_conjecture,
% 0.49/0.61 c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.49/0.61
% 0.49/0.61 cnf(cls_conjecture_2,negated_conjecture,
% 0.49/0.61 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.49/0.61
% 0.49/0.61 cnf(cls_conjecture_3,negated_conjecture,
% 0.49/0.61 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.49/0.61
% 0.49/0.61 cnf(cls_conjecture_4,negated_conjecture,
% 0.49/0.61 ~ 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_U,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.49/0.61
% 0.49/0.61 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 0.49/0.61 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.49/0.61 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.49/0.61
% 0.49/0.61 cnf(cls_Message_OMPair__parts_0,axiom,
% 0.49/0.61 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.49/0.61 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.49/0.61
% 0.49/0.61 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 0.49/0.61 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.49/0.61 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.49/0.61
% 0.49/0.61 cnf(cls_OtwayRees_ONA__Crypt__imp__Server__msg_0,axiom,
% 0.49/0.61 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.49/0.61 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,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_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,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)
% 0.49/0.61 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.49/0.61 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.49/0.61 | 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_sko__u7f(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.49/0.61
% 0.49/0.61 %------------------------------------------------------------------------------
% 0.49/0.61 %-------------------------------------------
% 0.49/0.61 % Proof found
% 0.49/0.61 % SZS status Theorem for theBenchmark
% 0.49/0.61 % SZS output start Proof
% 0.49/0.61 %ClaNum:9(EqnAxiom:0)
% 0.49/0.61 %VarNum:45(SingletonVarNum:15)
% 0.49/0.61 %MaxLitNum:5
% 0.49/0.61 %MaxfuncDepth:8
% 0.49/0.61 %SharedTerms:35
% 0.49/0.61 %goalClause: 1 2 3 4 5
% 0.49/0.61 %singleGoalClaCount:5
% 0.49/0.61 [4]~P1(a19,a6,a20)
% 0.49/0.61 [1]P1(a1,a2,f17(a15))
% 0.49/0.61 [2]P1(f5(a18,a19,f13(a23,f4(f16(a19),f13(a23,f3(a24))))),f7(a1,a15),a15)
% 0.49/0.61 [3]P1(f5(a19,a22,f13(a23,f13(f9(a19),f13(f9(a22),f4(f16(a19),f13(a23,f13(f9(a19),f9(a22)))))))),f7(a1,a15),a15)
% 0.49/0.61 [5]~P1(f5(a10,a22,f13(a23,f13(f4(f16(a19),f13(a23,f3(a24))),f4(f16(a22),f13(x51,f3(a24)))))),f7(a1,a15),a15)
% 0.49/0.61 [6]~P1(x61,f11(x62),a21)+P1(x61,f14(x62),a21)
% 0.49/0.61 [7]P1(x71,f14(x72),a21)+~P1(f13(x73,x71),f14(x72),a21)
% 0.49/0.61 [8]~P1(f5(x83,x84,x81),f7(x82,a15),a15)+P1(x81,f11(f8(a12,x82)),a21)
% 0.49/0.61 [9]P1(x91,a6,a20)+~P1(x95,a2,f17(a15))+~P1(f4(f16(x91),f13(x93,f3(x94))),f14(f8(a12,x95)),a21)+P1(f5(a10,x92,f13(x93,f13(f4(f16(x91),f13(x93,f3(x94))),f4(f16(x92),f13(f25(x91,x92,x94,x93,x95),f3(x94)))))),f7(x95,a15),a15)+~P1(f5(x91,x92,f13(x93,f13(f9(x91),f13(f9(x92),f4(f16(x91),f13(x93,f13(f9(x91),f9(x92)))))))),f7(x95,a15),a15)
% 0.49/0.61 %EqnAxiom
% 0.49/0.61
% 0.49/0.61 %-------------------------------------------
% 0.49/0.61 cnf(10,plain,
% 0.49/0.61 (~P1(f4(f16(a19),f13(a23,f3(a24))),f14(f8(a12,a1)),a21)),
% 0.49/0.61 inference(scs_inference,[],[1,4,3,5,9])).
% 0.49/0.61 cnf(12,plain,
% 0.49/0.61 (P1(f13(a23,f4(f16(a19),f13(a23,f3(a24)))),f11(f8(a12,a1)),a21)),
% 0.49/0.61 inference(scs_inference,[],[1,4,2,3,5,9,8])).
% 0.49/0.61 cnf(14,plain,
% 0.49/0.61 (~P1(f4(f16(a19),f13(a23,f3(a24))),f11(f8(a12,a1)),a21)),
% 0.49/0.61 inference(scs_inference,[],[1,4,2,3,5,9,8,6])).
% 0.49/0.61 cnf(20,plain,
% 0.49/0.61 ($false),
% 0.49/0.61 inference(scs_inference,[],[14,10,12,7,8,6]),
% 0.49/0.61 ['proof']).
% 0.49/0.61 % SZS output end Proof
% 0.49/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------