TSTP Solution File: SWV290-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV290-2 : 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 : n001.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 21:32:45 EDT 2023
% Result : Unsatisfiable 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV290-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Aug 29 09:01:06 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.59 start to proof:theBenchmark
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % File :CSE---1.6
% 0.19/0.65 % Problem :theBenchmark
% 0.19/0.65 % Transform :cnf
% 0.19/0.65 % Format :tptp:raw
% 0.19/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.65
% 0.19/0.65 % Result :Theorem 0.000000s
% 0.19/0.65 % Output :CNFRefutation 0.000000s
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 %------------------------------------------------------------------------------
% 0.19/0.65 % File : SWV290-2 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.65 % Domain : Software Verification (Security)
% 0.19/0.65 % Problem : Cryptographic protocol problem for Otway Rees
% 0.19/0.65 % Version : [Pau06] axioms : Reduced > Especial.
% 0.19/0.65 % English :
% 0.19/0.65
% 0.19/0.65 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.19/0.65 % Source : [Pau06]
% 0.19/0.65 % Names :
% 0.19/0.65
% 0.19/0.65 % Status : Unsatisfiable
% 0.19/0.65 % Rating : 0.14 v8.1.0, 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, 0.07 v4.1.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.00 v3.2.0
% 0.19/0.65 % Syntax : Number of clauses : 10 ( 5 unt; 1 nHn; 10 RR)
% 0.19/0.65 % Number of literals : 19 ( 0 equ; 10 neg)
% 0.19/0.65 % Maximal clause size : 5 ( 1 avg)
% 0.19/0.65 % Maximal term depth : 11 ( 2 avg)
% 0.19/0.65 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.19/0.65 % Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% 0.19/0.65 % Number of variables : 19 ( 4 sgn)
% 0.19/0.65 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.65
% 0.19/0.65 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.19/0.65 % of which only a small selection are required for the refutation.
% 0.19/0.65 % The mission is to find those few axioms, after which a refutation
% 0.19/0.65 % can be quite easily found. This version has only the necessary
% 0.19/0.65 % axioms.
% 0.19/0.65 %------------------------------------------------------------------------------
% 0.19/0.65 cnf(cls_conjecture_0,negated_conjecture,
% 0.19/0.65 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) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_conjecture_1,negated_conjecture,
% 0.19/0.65 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) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_conjecture_2,negated_conjecture,
% 0.19/0.65 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_conjecture_3,negated_conjecture,
% 0.19/0.65 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_conjecture_4,negated_conjecture,
% 0.19/0.65 ~ 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) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 0.19/0.65 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.19/0.65 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_Message_OMPair__analz_0,axiom,
% 0.19/0.65 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.19/0.65 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 0.19/0.65 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.19/0.65 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
% 0.19/0.65 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.19/0.65 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.19/0.65 | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.19/0.65
% 0.19/0.65 cnf(cls_OtwayRees_ONB__Crypt__imp__Server__msg_0,axiom,
% 0.19/0.65 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.19/0.65 | ~ 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)
% 0.19/0.65 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.19/0.65 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.19/0.65 | 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) ) ).
% 0.19/0.65
% 0.19/0.65 %------------------------------------------------------------------------------
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark
% 0.19/0.65 % SZS output start Proof
% 0.19/0.65 %ClaNum:10(EqnAxiom:0)
% 0.19/0.65 %VarNum:51(SingletonVarNum:19)
% 0.19/0.65 %MaxLitNum:5
% 0.19/0.65 %MaxfuncDepth:10
% 0.19/0.65 %SharedTerms:46
% 0.19/0.65 %goalClause: 1 2 3 4 5
% 0.19/0.65 %singleGoalClaCount:5
% 0.19/0.65 [4]~P1(a19,a6,a21)
% 0.19/0.65 [1]P1(a1,a2,f18(a16))
% 0.19/0.65 [2]P1(f5(a19,f14(a23,f14(a25,f4(f17(a19),f14(a26,f3(a24)))))),f7(a1,a16),a16)
% 0.19/0.65 [5]~P1(f8(a10,a19,f14(a23,f14(f4(f17(a20),f14(a23,f3(a24))),f4(f17(a19),f14(a26,f3(a24)))))),f7(a1,a16),a16)
% 0.19/0.65 [3]P1(f8(a19,a10,f14(a23,f14(f11(a20),f14(f11(a19),f14(a27,f4(f17(a19),f14(a23,f14(a26,f14(f11(a20),f11(a19)))))))))),f7(a1,a16),a16)
% 0.19/0.65 [6]~P1(x61,f12(x62),a22)+P1(x61,f15(x62),a22)
% 0.19/0.65 [7]P1(x71,f12(x72),a22)+~P1(f14(x73,x71),f12(x72),a22)
% 0.19/0.65 [8]~P1(f8(x83,x84,x81),f7(x82,a16),a16)+P1(x81,f12(f9(a13,x82)),a22)
% 0.19/0.65 [9]~P1(f5(x91,x92),f7(x93,a16),a16)+~P1(x93,a2,f18(a16))+P1(f8(f28(x91,x92,x93),x91,x92),f7(x93,a16),a16)
% 0.19/0.65 [10]P1(x101,a6,a21)+~P1(x106,a2,f18(a16))+~P1(f4(f17(x101),f14(x105,f3(x104))),f15(f9(a13,x106)),a22)+P1(f8(a10,x101,f14(x102,f14(f4(f17(x103),f14(x102,f3(x104))),f4(f17(x101),f14(x105,f3(x104)))))),f7(x106,a16),a16)+~P1(f8(x101,a10,f14(x102,f14(f11(x103),f14(f11(x101),f14(x107,f4(f17(x101),f14(x102,f14(x105,f14(f11(x103),f11(x101)))))))))),f7(x106,a16),a16)
% 0.19/0.65 %EqnAxiom
% 0.19/0.65
% 0.19/0.65 %-------------------------------------------
% 0.19/0.66 cnf(13,plain,
% 0.19/0.66 (P1(f14(f11(a20),f14(f11(a19),f14(a27,f4(f17(a19),f14(a23,f14(a26,f14(f11(a20),f11(a19)))))))),f12(f9(a13,a1)),a22)),
% 0.19/0.66 inference(scs_inference,[],[1,4,5,3,10,8,7])).
% 0.19/0.66 cnf(15,plain,
% 0.19/0.66 (P1(f8(f28(a19,f14(a23,f14(a25,f4(f17(a19),f14(a26,f3(a24))))),a1),a19,f14(a23,f14(a25,f4(f17(a19),f14(a26,f3(a24)))))),f7(a1,a16),a16)),
% 0.19/0.66 inference(scs_inference,[],[1,4,2,5,3,10,8,7,9])).
% 0.19/0.66 cnf(17,plain,
% 0.19/0.66 (~P1(f4(f17(a19),f14(a26,f3(a24))),f12(f9(a13,a1)),a22)),
% 0.19/0.66 inference(scs_inference,[],[1,4,2,5,3,10,8,7,9,6])).
% 0.19/0.66 cnf(23,plain,
% 0.19/0.66 (~P1(f14(x231,f4(f17(a19),f14(a26,f3(a24)))),f12(f9(a13,a1)),a22)),
% 0.19/0.66 inference(scs_inference,[],[17,13,6,8,7])).
% 0.19/0.66 cnf(27,plain,
% 0.19/0.66 (P1(f14(a23,f14(a25,f4(f17(a19),f14(a26,f3(a24))))),f12(f9(a13,a1)),a22)),
% 0.19/0.66 inference(scs_inference,[],[15,8])).
% 0.19/0.66 cnf(35,plain,
% 0.19/0.66 ($false),
% 0.19/0.66 inference(scs_inference,[],[23,27,8,7]),
% 0.19/0.66 ['proof']).
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time :0.000000s
%------------------------------------------------------------------------------