TSTP Solution File: SWV286-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV286-2 : 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 : n013.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 0.21s 0.63s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV286-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n013.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 10:22:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.53 start to proof:theBenchmark
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 % File :CSE---1.6
% 0.21/0.62 % Problem :theBenchmark
% 0.21/0.62 % Transform :cnf
% 0.21/0.62 % Format :tptp:raw
% 0.21/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.62
% 0.21/0.62 % Result :Theorem 0.000000s
% 0.21/0.62 % Output :CNFRefutation 0.000000s
% 0.21/0.62 %-------------------------------------------
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 % File : SWV286-2 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.63 % Domain : Software Verification (Security)
% 0.21/0.63 % Problem : Cryptographic protocol problem for Otway Rees
% 0.21/0.63 % Version : [Pau06] axioms : Reduced > Especial.
% 0.21/0.63 % English :
% 0.21/0.63
% 0.21/0.63 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.21/0.63 % Source : [Pau06]
% 0.21/0.63 % Names :
% 0.21/0.63
% 0.21/0.63 % Status : Unsatisfiable
% 0.21/0.63 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.0.0, 0.25 v6.3.0, 0.14 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
% 0.21/0.63 % Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 8 RR)
% 0.21/0.63 % Number of literals : 15 ( 0 equ; 8 neg)
% 0.21/0.63 % Maximal clause size : 5 ( 1 avg)
% 0.21/0.63 % Maximal term depth : 11 ( 2 avg)
% 0.21/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.21/0.63 % Number of functors : 21 ( 21 usr; 11 con; 0-5 aty)
% 0.21/0.63 % Number of variables : 14 ( 3 sgn)
% 0.21/0.63 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.21/0.63
% 0.21/0.63 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.21/0.63 % of which only a small selection are required for the refutation.
% 0.21/0.63 % The mission is to find those few axioms, after which a refutation
% 0.21/0.63 % can be quite easily found. This version has only the necessary
% 0.21/0.63 % axioms.
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 cnf(cls_OtwayRees_OA__trusts__OR4__dest_0,axiom,
% 0.21/0.63 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.21/0.63 | ~ 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)
% 0.21/0.63 | ~ 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)
% 0.21/0.63 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.21/0.63 | 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_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) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(cls_OtwayRees_OOR3__imp__OR2__dest_0,axiom,
% 0.21/0.63 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.21/0.63 | ~ 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)
% 0.21/0.63 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.21/0.63 | 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_sko__vEb(V_A,V_B,V_NA,V_NB,V_evs),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) ) ).
% 0.21/0.63
% 0.21/0.63 cnf(cls_conjecture_0,negated_conjecture,
% 0.21/0.63 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) ).
% 0.21/0.63
% 0.21/0.63 cnf(cls_conjecture_1,negated_conjecture,
% 0.21/0.63 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) ).
% 0.21/0.63
% 0.21/0.63 cnf(cls_conjecture_2,negated_conjecture,
% 0.21/0.63 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.21/0.63
% 0.21/0.63 cnf(cls_conjecture_3,negated_conjecture,
% 0.21/0.63 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.21/0.63
% 0.21/0.63 cnf(cls_conjecture_4,negated_conjecture,
% 0.21/0.63 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.21/0.63
% 0.21/0.63 cnf(cls_conjecture_5,negated_conjecture,
% 0.21/0.63 ~ 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_V,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,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) ).
% 0.21/0.63
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % Proof found
% 0.21/0.63 % SZS status Theorem for theBenchmark
% 0.21/0.63 % SZS output start Proof
% 0.21/0.63 %ClaNum:8(EqnAxiom:0)
% 0.21/0.63 %VarNum:60(SingletonVarNum:14)
% 0.21/0.63 %MaxLitNum:5
% 0.21/0.63 %MaxfuncDepth:10
% 0.21/0.63 %SharedTerms:34
% 0.21/0.63 %goalClause: 1 2 3 4 5 6
% 0.21/0.63 %singleGoalClaCount:6
% 0.21/0.63 [4]~P1(a15,a6,a16)
% 0.21/0.63 [5]~P1(a17,a6,a16)
% 0.21/0.63 [1]P1(a1,a2,f13(a11))
% 0.21/0.63 [2]P1(f5(a14,a15,f10(a18,f4(f12(a15),f10(a18,f3(a19))))),f7(a1,a11),a11)
% 0.21/0.63 [3]P1(f5(a15,a17,f10(a18,f10(f8(a15),f10(f8(a17),f4(f12(a15),f10(a18,f10(f8(a15),f8(a17)))))))),f7(a1,a11),a11)
% 0.21/0.63 [6]~P1(f5(a17,a9,f10(a18,f10(f8(a15),f10(f8(a17),f10(x61,f4(f12(a17),f10(a18,f10(x62,f10(f8(a15),f8(a17)))))))))),f7(a1,a11),a11)
% 0.21/0.63 [8]P1(x81,a6,a16)+~P1(x85,a2,f13(a11))+~P1(f5(a9,x81,f10(x82,f10(f4(f12(x83),f10(x82,f3(x86))),f4(f12(x81),f10(x84,f3(x86)))))),f7(x85,a11),a11)+P1(f5(x81,a9,f10(x82,f10(f8(x83),f10(f8(x81),f10(f21(x83,x81,x82,x84,x85),f4(f12(x81),f10(x82,f10(x84,f10(f8(x83),f8(x81)))))))))),f7(x85,a11),a11)
% 0.21/0.63 [7]P1(x71,a6,a16)+~P1(x75,a2,f13(a11))+~P1(f5(x76,x71,f10(x73,f4(f12(x71),f10(x73,f3(x74))))),f7(x75,a11),a11)+P1(f5(a9,x72,f10(x73,f10(f4(f12(x71),f10(x73,f3(x74))),f4(f12(x72),f10(f20(x71,x72,x74,x73,x75),f3(x74)))))),f7(x75,a11),a11)+~P1(f5(x71,x72,f10(x73,f10(f8(x71),f10(f8(x72),f4(f12(x71),f10(x73,f10(f8(x71),f8(x72)))))))),f7(x75,a11),a11)
% 0.21/0.63 %EqnAxiom
% 0.21/0.63
% 0.21/0.63 %-------------------------------------------
% 0.21/0.64 cnf(11,plain,
% 0.21/0.64 ($false),
% 0.21/0.64 inference(scs_inference,[],[1,4,5,2,3,6,8,7]),
% 0.21/0.64 ['proof']).
% 0.21/0.64 % SZS output end Proof
% 0.21/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------