TSTP Solution File: SWV287-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV287-2 : 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 21:32:43 EDT 2023
% Result : Unsatisfiable 0.16s 0.51s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV287-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % 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
% 0.11/0.30 % DateTime : Tue Aug 29 07:57:16 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.16/0.46 start to proof:theBenchmark
% 0.16/0.50 %-------------------------------------------
% 0.16/0.50 % File :CSE---1.6
% 0.16/0.50 % Problem :theBenchmark
% 0.16/0.50 % Transform :cnf
% 0.16/0.50 % Format :tptp:raw
% 0.16/0.50 % Command :java -jar mcs_scs.jar %d %s
% 0.16/0.50
% 0.16/0.50 % Result :Theorem 0.000000s
% 0.16/0.50 % Output :CNFRefutation 0.000000s
% 0.16/0.50 %-------------------------------------------
% 0.16/0.50 %------------------------------------------------------------------------------
% 0.16/0.50 % File : SWV287-2 : TPTP v8.1.2. Released v3.2.0.
% 0.16/0.50 % Domain : Software Verification (Security)
% 0.16/0.50 % Problem : Cryptographic protocol problem for Otway Rees
% 0.16/0.50 % Version : [Pau06] axioms : Reduced > Especial.
% 0.16/0.50 % English :
% 0.16/0.50
% 0.16/0.50 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.16/0.50 % Source : [Pau06]
% 0.16/0.50 % Names :
% 0.16/0.50
% 0.16/0.50 % Status : Unsatisfiable
% 0.16/0.50 % Rating : 0.00 v7.0.0, 0.12 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
% 0.16/0.50 % Syntax : Number of clauses : 9 ( 7 unt; 2 nHn; 9 RR)
% 0.16/0.50 % Number of literals : 18 ( 0 equ; 9 neg)
% 0.16/0.50 % Maximal clause size : 6 ( 2 avg)
% 0.16/0.50 % Maximal term depth : 9 ( 2 avg)
% 0.16/0.50 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.16/0.50 % Number of functors : 25 ( 25 usr; 13 con; 0-5 aty)
% 0.16/0.50 % Number of variables : 13 ( 2 sgn)
% 0.16/0.50 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.16/0.50
% 0.16/0.50 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.16/0.50 % of which only a small selection are required for the refutation.
% 0.16/0.50 % The mission is to find those few axioms, after which a refutation
% 0.16/0.50 % can be quite easily found. This version has only the necessary
% 0.16/0.50 % axioms.
% 0.16/0.50 %------------------------------------------------------------------------------
% 0.16/0.50 cnf(cls_conjecture_0,negated_conjecture,
% 0.16/0.50 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) ).
% 0.16/0.50
% 0.16/0.50 cnf(cls_conjecture_1,negated_conjecture,
% 0.16/0.50 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) ).
% 0.16/0.50
% 0.16/0.50 cnf(cls_conjecture_2,negated_conjecture,
% 0.16/0.50 ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.16/0.50
% 0.16/0.50 cnf(cls_conjecture_3,negated_conjecture,
% 0.16/0.50 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.16/0.50
% 0.16/0.50 cnf(cls_conjecture_4,negated_conjecture,
% 0.16/0.50 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.16/0.50
% 0.16/0.50 cnf(cls_conjecture_5,negated_conjecture,
% 0.16/0.50 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.16/0.50
% 0.16/0.50 cnf(cls_conjecture_6,negated_conjecture,
% 0.16/0.50 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ).
% 0.16/0.50
% 0.16/0.50 cnf(cls_OtwayRees_OA__trusts__OR4__dest_0,axiom,
% 0.16/0.50 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.16/0.51 | ~ 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)
% 0.16/0.51 | ~ 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)
% 0.16/0.51 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.16/0.51 | 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__u8o(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) ) ).
% 0.16/0.51
% 0.16/0.51 cnf(cls_OtwayRees_Osecrecy__lemma__dest_0,axiom,
% 0.16/0.51 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.16/0.51 | ~ 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)
% 0.16/0.51 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.16/0.51 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.16/0.51 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.16/0.51 | 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) ) ).
% 0.16/0.51
% 0.16/0.51 %------------------------------------------------------------------------------
% 0.16/0.51 %-------------------------------------------
% 0.16/0.51 % Proof found
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof
% 0.16/0.51 %ClaNum:9(EqnAxiom:0)
% 0.16/0.51 %VarNum:51(SingletonVarNum:13)
% 0.16/0.51 %MaxLitNum:6
% 0.16/0.51 %MaxfuncDepth:8
% 0.16/0.51 %SharedTerms:38
% 0.16/0.51 %goalClause: 1 2 3 4 5 6 7
% 0.16/0.51 %singleGoalClaCount:7
% 0.16/0.51 [5]~P1(a22,a7,a20)
% 0.16/0.51 [6]~P1(a23,a7,a20)
% 0.16/0.51 [1]P1(a1,a2,f17(a15))
% 0.16/0.51 [2]P1(f3(a18),f11(f5(a4,a1)),a19)
% 0.16/0.51 [3]P1(f6(a21,a22,f14(a24,f12(f16(a22),f14(a24,f3(a18))))),f9(a1,a15),a15)
% 0.16/0.51 [4]P1(f6(a22,a23,f14(a24,f14(f13(a22),f14(f13(a23),f12(f16(a22),f14(a24,f14(f13(a22),f13(a23)))))))),f9(a1,a15),a15)
% 0.16/0.51 [7]~P1(f8(a4,f14(a24,f14(x71,f3(a18)))),f9(a1,a15),a15)
% 0.16/0.51 [9]P1(x91,a7,a20)+~P1(x95,a2,f17(a15))+~P1(f6(x96,x91,f14(x93,f12(f16(x91),f14(x93,f3(x94))))),f9(x95,a15),a15)+P1(f6(a10,x92,f14(x93,f14(f12(f16(x91),f14(x93,f3(x94))),f12(f16(x92),f14(f25(x91,x92,x94,x93,x95),f3(x94)))))),f9(x95,a15),a15)+~P1(f6(x91,x92,f14(x93,f14(f13(x91),f14(f13(x92),f12(f16(x91),f14(x93,f14(f13(x91),f13(x92)))))))),f9(x95,a15),a15)
% 0.16/0.51 [8]P1(x81,a7,a20)+P1(x82,a7,a20)+~P1(x86,a2,f17(a15))+~P1(f3(x85),f11(f5(a4,x86)),a19)+P1(f8(a4,f14(x83,f14(x84,f3(x85)))),f9(x86,a15),a15)+~P1(f6(a10,x82,f14(x83,f14(f12(f16(x81),f14(x83,f3(x85))),f12(f16(x82),f14(x84,f3(x85)))))),f9(x86,a15),a15)
% 0.16/0.51 %EqnAxiom
% 0.16/0.51
% 0.16/0.51 %-------------------------------------------
% 0.16/0.51 cnf(11,plain,
% 0.16/0.51 ($false),
% 0.16/0.51 inference(scs_inference,[],[1,5,6,2,3,4,7,9,8]),
% 0.16/0.51 ['proof']).
% 0.16/0.51 % SZS output end Proof
% 0.16/0.51 % Total time :0.000000s
%------------------------------------------------------------------------------