TSTP Solution File: SWV299-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV299-2 : 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 : n029.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 21:32:49 EDT 2023
% Result : Unsatisfiable 0.56s 0.65s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV299-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 10:36:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.56/0.64 %-------------------------------------------
% 0.56/0.64 % File :CSE---1.6
% 0.56/0.64 % Problem :theBenchmark
% 0.56/0.64 % Transform :cnf
% 0.56/0.64 % Format :tptp:raw
% 0.56/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.64
% 0.56/0.64 % Result :Theorem 0.020000s
% 0.56/0.64 % Output :CNFRefutation 0.020000s
% 0.56/0.64 %-------------------------------------------
% 0.56/0.64 %------------------------------------------------------------------------------
% 0.56/0.64 % File : SWV299-2 : TPTP v8.1.2. Released v3.2.0.
% 0.56/0.64 % Domain : Software Verification (Security)
% 0.56/0.64 % Problem : Cryptographic protocol problem for Otway Rees
% 0.56/0.64 % Version : [Pau06] axioms : Reduced > Especial.
% 0.56/0.64 % English :
% 0.56/0.64
% 0.56/0.64 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.56/0.64 % Source : [Pau06]
% 0.56/0.64 % Names :
% 0.56/0.64
% 0.56/0.64 % Status : Unsatisfiable
% 0.56/0.64 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v3.2.0
% 0.56/0.64 % Syntax : Number of clauses : 8 ( 4 unt; 0 nHn; 8 RR)
% 0.56/0.64 % Number of literals : 14 ( 0 equ; 7 neg)
% 0.56/0.64 % Maximal clause size : 4 ( 1 avg)
% 0.56/0.64 % Maximal term depth : 11 ( 2 avg)
% 0.56/0.64 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.56/0.64 % Number of functors : 25 ( 25 usr; 14 con; 0-3 aty)
% 0.56/0.64 % Number of variables : 15 ( 6 sgn)
% 0.56/0.64 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.56/0.64
% 0.56/0.65 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.56/0.65 % of which only a small selection are required for the refutation.
% 0.56/0.65 % The mission is to find those few axioms, after which a refutation
% 0.56/0.65 % can be quite easily found. This version has only the necessary
% 0.56/0.65 % axioms.
% 0.56/0.65 %------------------------------------------------------------------------------
% 0.56/0.65 cnf(cls_conjecture_0,negated_conjecture,
% 0.56/0.65 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.56/0.65
% 0.56/0.65 cnf(cls_conjecture_1,negated_conjecture,
% 0.56/0.65 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.56/0.65
% 0.56/0.65 cnf(cls_conjecture_3,negated_conjecture,
% 0.56/0.65 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.56/0.65
% 0.56/0.65 cnf(cls_conjecture_4,negated_conjecture,
% 0.56/0.65 c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.56/0.65
% 0.56/0.65 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 0.56/0.65 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.56/0.65 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.56/0.65
% 0.56/0.65 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 0.56/0.65 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.56/0.65 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.56/0.65
% 0.56/0.65 cnf(cls_Message_OMPair__analz_0,axiom,
% 0.56/0.65 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.56/0.65 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.56/0.65
% 0.56/0.65 cnf(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,axiom,
% 0.56/0.65 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.56/0.65 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OAgent(V_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.56/0.65 | ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.56/0.65 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.56/0.65
% 0.56/0.65 %------------------------------------------------------------------------------
% 0.56/0.65 %-------------------------------------------
% 0.56/0.65 % Proof found
% 0.56/0.65 % SZS status Theorem for theBenchmark
% 0.56/0.65 % SZS output start Proof
% 0.56/0.65 %ClaNum:8(EqnAxiom:0)
% 0.56/0.65 %VarNum:28(SingletonVarNum:15)
% 0.56/0.65 %MaxLitNum:4
% 0.56/0.65 %MaxfuncDepth:10
% 0.56/0.65 %SharedTerms:45
% 0.56/0.65 %goalClause: 1 2 3 4
% 0.56/0.65 %singleGoalClaCount:4
% 0.56/0.65 [4]~P1(a18,a6,a19)
% 0.56/0.65 [1]P1(a1,a2,f17(a15))
% 0.56/0.65 [2]P1(f5(a18,a21,f12(f3(a24),f12(f4(a18),f12(f4(a21),f13(f16(a18),f12(f3(a24),f12(f4(a18),f4(a21)))))))),f7(a1,a15),a15)
% 0.56/0.65 [3]P1(f5(a22,a9,f12(f3(a25),f12(f4(a23),f12(f4(a18),f12(f13(f16(a23),f12(f3(a25),f12(f4(a23),f4(a18)))),f13(f16(a18),f12(f3(a25),f12(f3(a24),f12(f4(a23),f4(a18)))))))))),f7(a1,a15),a15)
% 0.56/0.65 [5]~P1(x51,f10(x52),a20)+P1(x51,f14(x52),a20)
% 0.56/0.65 [6]P1(x61,f10(x62),a20)+~P1(f12(x63,x61),f10(x62),a20)
% 0.56/0.65 [7]~P1(f5(x73,x74,x71),f7(x72,a15),a15)+P1(x71,f10(f8(a11,x72)),a20)
% 0.56/0.65 [8]P1(x81,a6,a19)+~P1(x82,a2,f17(a15))+~P1(f13(f16(x81),f12(x83,f12(f4(x81),f4(x84)))),f14(f8(a11,x82)),a20)+~P1(f13(f16(x81),f12(x85,f12(x83,f12(f4(x86),f4(x81))))),f14(f8(a11,x82)),a20)
% 0.56/0.65 %EqnAxiom
% 0.56/0.65
% 0.56/0.65 %-------------------------------------------
% 0.56/0.65 cnf(10,plain,
% 0.56/0.65 (P1(f12(f4(a18),f12(f4(a21),f13(f16(a18),f12(f3(a24),f12(f4(a18),f4(a21)))))),f10(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[2,7,6])).
% 0.56/0.65 cnf(11,plain,
% 0.56/0.65 (~P1(f13(f16(a18),f12(x111,f12(f4(a18),f4(x112)))),f14(f8(a11,a1)),a20)+~P1(f13(f16(a18),f12(x113,f12(x111,f12(f4(x114),f4(a18))))),f14(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[1,4,2,7,6,8])).
% 0.56/0.65 cnf(15,plain,
% 0.56/0.65 (P1(f12(f3(a25),f12(f4(a23),f12(f4(a18),f12(f13(f16(a23),f12(f3(a25),f12(f4(a23),f4(a18)))),f13(f16(a18),f12(f3(a25),f12(f3(a24),f12(f4(a23),f4(a18))))))))),f10(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[3,7])).
% 0.56/0.65 cnf(17,plain,
% 0.56/0.65 (P1(f12(f4(a21),f13(f16(a18),f12(f3(a24),f12(f4(a18),f4(a21))))),f10(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[3,10,7,6])).
% 0.56/0.65 cnf(24,plain,
% 0.56/0.65 (~P1(f13(f16(a18),f12(x241,f12(x242,f12(f4(x243),f4(a18))))),f14(f8(a11,a1)),a20)+~P1(f13(f16(a18),f12(x242,f12(f4(a18),f4(x244)))),f10(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[5,11])).
% 0.56/0.65 cnf(25,plain,
% 0.56/0.65 (P1(f12(f4(a23),f12(f4(a18),f12(f13(f16(a23),f12(f3(a25),f12(f4(a23),f4(a18)))),f13(f16(a18),f12(f3(a25),f12(f3(a24),f12(f4(a23),f4(a18)))))))),f10(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[15,6])).
% 0.56/0.65 cnf(27,plain,
% 0.56/0.65 (~P1(f13(f16(a18),f12(x271,f12(f3(a24),f12(f4(x272),f4(a18))))),f14(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[17,24,6])).
% 0.56/0.65 cnf(33,plain,
% 0.56/0.65 (~P1(f12(x331,f13(f16(a18),f12(x332,f12(f3(a24),f12(f4(x333),f4(a18)))))),f10(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[27,5,6])).
% 0.56/0.65 cnf(40,plain,
% 0.56/0.65 (P1(f12(f4(a18),f12(f13(f16(a23),f12(f3(a25),f12(f4(a23),f4(a18)))),f13(f16(a18),f12(f3(a25),f12(f3(a24),f12(f4(a23),f4(a18))))))),f10(f8(a11,a1)),a20)),
% 0.56/0.65 inference(scs_inference,[],[15,25,5,6])).
% 0.56/0.65 cnf(43,plain,
% 0.56/0.65 ($false),
% 0.56/0.65 inference(scs_inference,[],[40,33,6]),
% 0.56/0.65 ['proof']).
% 0.56/0.65 % SZS output end Proof
% 0.56/0.65 % Total time :0.020000s
%------------------------------------------------------------------------------