TSTP Solution File: SWV292-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV292-2 : 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 : n024.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 21:32:46 EDT 2023
% Result : Unsatisfiable 3.11s 3.22s
% Output : CNFRefutation 3.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV292-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n024.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 08:26:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.62 start to proof:theBenchmark
% 3.11/3.21 %-------------------------------------------
% 3.11/3.21 % File :CSE---1.6
% 3.11/3.21 % Problem :theBenchmark
% 3.11/3.21 % Transform :cnf
% 3.11/3.21 % Format :tptp:raw
% 3.11/3.21 % Command :java -jar mcs_scs.jar %d %s
% 3.11/3.21
% 3.11/3.21 % Result :Theorem 2.530000s
% 3.11/3.21 % Output :CNFRefutation 2.530000s
% 3.11/3.21 %-------------------------------------------
% 3.11/3.22 %------------------------------------------------------------------------------
% 3.11/3.22 % File : SWV292-2 : TPTP v8.1.2. Released v3.2.0.
% 3.11/3.22 % Domain : Software Verification (Security)
% 3.11/3.22 % Problem : Cryptographic protocol problem for Otway Rees
% 3.11/3.22 % Version : [Pau06] axioms : Reduced > Especial.
% 3.11/3.22 % English :
% 3.11/3.22
% 3.11/3.22 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 3.11/3.22 % Source : [Pau06]
% 3.11/3.22 % Names :
% 3.11/3.22
% 3.11/3.22 % Status : Unsatisfiable
% 3.11/3.22 % Rating : 0.14 v8.1.0, 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, 0.14 v6.2.0, 0.11 v6.1.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.29 v4.1.0, 0.12 v4.0.1, 0.40 v4.0.0, 0.43 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0
% 3.11/3.22 % Syntax : Number of clauses : 16 ( 5 unt; 2 nHn; 16 RR)
% 3.11/3.22 % Number of literals : 32 ( 0 equ; 16 neg)
% 3.11/3.22 % Maximal clause size : 3 ( 2 avg)
% 3.11/3.22 % Maximal term depth : 9 ( 2 avg)
% 3.11/3.22 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 3.11/3.22 % Number of functors : 32 ( 32 usr; 15 con; 0-3 aty)
% 3.11/3.22 % Number of variables : 29 ( 4 sgn)
% 3.11/3.22 % SPC : CNF_UNS_RFO_NEQ_NHN
% 3.11/3.22
% 3.11/3.22 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 3.11/3.22 % of which only a small selection are required for the refutation.
% 3.11/3.22 % The mission is to find those few axioms, after which a refutation
% 3.11/3.22 % can be quite easily found. This version has only the necessary
% 3.11/3.22 % axioms.
% 3.11/3.22 %------------------------------------------------------------------------------
% 3.11/3.22 cnf(cls_conjecture_0,negated_conjecture,
% 3.11/3.22 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_conjecture_1,negated_conjecture,
% 3.11/3.22 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_conjecture_4,negated_conjecture,
% 3.11/3.22 c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_conjecture_5,negated_conjecture,
% 3.11/3.22 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_conjecture_6,negated_conjecture,
% 3.11/3.22 ~ 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_evs4,tc_Event_Oevent),tc_Event_Oevent) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_conjecture_7,negated_conjecture,
% 3.11/3.22 ( 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_evs4,tc_Event_Oevent),tc_Event_Oevent)
% 3.11/3.22 | ~ 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_evs4)),tc_Message_Omsg) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 3.11/3.22 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 3.11/3.22 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_Message_OCrypt__synth_0,axiom,
% 3.11/3.22 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.11/3.22 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 3.11/3.22 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
% 3.11/3.22 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
% 3.11/3.22 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.11/3.22 | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_Message_OMPair__analz_0,axiom,
% 3.11/3.22 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.11/3.22 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom,
% 3.11/3.22 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.11/3.22 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 3.11/3.22 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.11/3.22 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_Message_Osynth_OInj_0,axiom,
% 3.11/3.22 ( ~ c_in(V_X,V_H,tc_Message_Omsg)
% 3.11/3.22 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
% 3.11/3.22 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 3.11/3.22 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 3.11/3.22 | 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) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
% 3.11/3.22 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 3.11/3.22 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.11/3.22 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 3.11/3.22
% 3.11/3.22 cnf(cls_Set_OUnE_0,axiom,
% 3.11/3.22 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
% 3.11/3.22 | c_in(V_c,V_B,T_a)
% 3.11/3.22 | c_in(V_c,V_A,T_a) ) ).
% 3.11/3.22
% 3.11/3.22 %------------------------------------------------------------------------------
% 3.11/3.22 %-------------------------------------------
% 3.11/3.22 % Proof found
% 3.11/3.22 % SZS status Theorem for theBenchmark
% 3.11/3.22 % SZS output start Proof
% 3.11/3.22 %ClaNum:16(EqnAxiom:0)
% 3.11/3.22 %VarNum:65(SingletonVarNum:29)
% 3.11/3.22 %MaxLitNum:3
% 3.11/3.22 %MaxfuncDepth:8
% 3.11/3.22 %SharedTerms:47
% 3.11/3.22 %goalClause: 1 2 3 4 5 16
% 3.11/3.22 %singleGoalClaCount:5
% 3.11/3.22 [4]~P1(a22,a7,a24)
% 3.11/3.22 [1]P1(a1,a2,f21(a17))
% 3.11/3.22 [2]P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f19(a29,f5(a4,a1),a23)),a23)
% 3.11/3.22 [3]P1(f6(a27,f11(f15(a30),f11(a29,f12(f18(a27),f11(f15(a31),f13(a28)))))),f9(a1,a17),a17)
% 3.11/3.22 [5]~P1(f8(a22,a26,f11(a25,f11(f3(a22),f11(f3(a26),f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))))))),f9(a1,a17),a17)
% 3.11/3.22 [16]~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)+P1(f8(a22,a26,f11(a25,f11(f3(a22),f11(f3(a26),f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))))))),f9(a1,a17),a17)
% 3.11/3.22 [6]~P1(x61,x62,a23)+P1(x61,f16(x62),a23)
% 3.11/3.22 [7]~P1(x71,f10(x72),a23)+P1(x71,f14(x72),a23)
% 3.11/3.22 [8]P1(x81,f10(x82),a23)+~P1(f11(x83,x81),f10(x82),a23)
% 3.11/3.22 [9]P1(x91,f16(f10(x92)),a23)+~P1(f11(x91,x93),f16(f10(x92)),a23)
% 3.11/3.22 [13]~P1(f8(x133,x134,x131),f9(x132,a17),a17)+P1(x131,f10(f5(a4,x132)),a23)
% 3.11/3.22 [11]P1(x111,a7,a24)+~P1(x112,a2,f21(a17))+~P1(f13(f18(x111)),f14(f5(a4,x112)),a23)
% 3.11/3.22 [10]P1(f13(x101),x102,a23)+P1(f12(x101,x103),x102,a23)+~P1(f12(x101,x103),f16(x102),a23)
% 3.11/3.22 [14]~P1(f6(x141,x142),f9(x143,a17),a17)+~P1(x143,a2,f21(a17))+P1(f8(f32(x141,x142,x143),x141,x142),f9(x143,a17),a17)
% 3.11/3.22 [15]~P1(x153,f16(f10(x152)),a23)+~P1(x151,f14(f19(x153,x152,a23)),a23)+P1(x151,f20(f16(f10(x152)),f14(x152),a23),a23)
% 3.11/3.22 [12]P1(x121,x122,x123)+P1(x121,x124,x123)+~P1(x121,f20(x124,x122,x123),x123)
% 3.11/3.22 %EqnAxiom
% 3.11/3.22
% 3.11/3.22 %-------------------------------------------
% 3.11/3.22 cnf(17,plain,
% 3.11/3.22 (~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)),
% 3.11/3.22 inference(scs_inference,[],[5,16])).
% 3.11/3.22 cnf(18,plain,
% 3.11/3.22 (~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f10(f5(a4,a1)),a23)),
% 3.11/3.22 inference(scs_inference,[],[5,16,7])).
% 3.11/3.22 cnf(22,plain,
% 3.11/3.22 (~P1(f11(x221,f12(f18(a22),f11(a25,f11(f3(a22),f3(a26))))),f10(f5(a4,a1)),a23)),
% 3.11/3.22 inference(scs_inference,[],[5,16,7,13,8])).
% 3.11/3.22 cnf(28,plain,
% 3.11/3.22 (~P1(f13(f18(a22)),f14(f5(a4,a1)),a23)),
% 3.11/3.22 inference(scs_inference,[],[1,4,2,5,16,7,13,8,14,6,11])).
% 3.11/3.22 cnf(32,plain,
% 3.11/3.22 (~P1(a29,f16(f10(f5(a4,a1))),a23)+P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)),
% 3.11/3.22 inference(scs_inference,[],[1,4,2,5,16,7,13,8,14,6,11,12,15])).
% 3.11/3.22 cnf(43,plain,
% 3.11/3.22 (~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f10(f5(a4,a1))),a23)),
% 3.11/3.22 inference(scs_inference,[],[18,28,22,7,13,10])).
% 3.11/3.22 cnf(123,plain,
% 3.11/3.22 (~P1(a29,f16(f10(f5(a4,a1))),a23)),
% 3.11/3.22 inference(scs_inference,[],[43,17,32,12])).
% 3.11/3.22 cnf(124,plain,
% 3.11/3.22 (~P1(f11(a29,x1241),f16(f10(f5(a4,a1))),a23)),
% 3.11/3.22 inference(scs_inference,[],[123,9])).
% 3.11/3.22 cnf(135,plain,
% 3.11/3.23 (~P1(f11(a29,x1351),f10(f5(a4,a1)),a23)),
% 3.11/3.23 inference(scs_inference,[],[124,6])).
% 3.11/3.23 cnf(385,plain,
% 3.11/3.23 (~P1(f11(x3851,f11(a29,x3852)),f10(f5(a4,a1)),a23)),
% 3.11/3.23 inference(scs_inference,[],[135,1,13,14,8])).
% 3.11/3.23 cnf(613,plain,
% 3.11/3.23 (~P1(f8(x6131,x6132,f11(x6133,f11(a29,x6134))),f9(a1,a17),a17)),
% 3.11/3.23 inference(scs_inference,[],[385,13])).
% 3.11/3.23 cnf(618,plain,
% 3.11/3.23 ($false),
% 3.11/3.23 inference(scs_inference,[],[613,3,1,14]),
% 3.11/3.23 ['proof']).
% 3.11/3.23 % SZS output end Proof
% 3.11/3.23 % Total time :2.530000s
%------------------------------------------------------------------------------