%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV811-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.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 : Wed Apr 9 09:31:43 PM UTC 2025
% Result : Unsatisfiable 8.17s 2.90s
% Output : CNFRefutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 59 ( 59 usr; 16 con; 0-5 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_NS__Shared__Mirabelle_OIssues > c_lessequals > c_in > hBOOL > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_Lattices_Oupper__semilattice > class_Lattices_Olattice > class_Lattices_Obounded__lattice > class_HOL_Oord > c_NS__Shared__Mirabelle_Ons__sharedp > c_COMBC > c_COMBB > v_sko__NS__Shared__Mirabelle__XIssues__def__1 > v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 > c_Set_Oimage > c_List_Osko__List__XtakeWhile__cong__1__1 > v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 > v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 > v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1 > v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 > c_Set_Oinsert > c_List_OtakeWhile > c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 > c_List_Olist_OCons > c_List_Oappend > c_Lattices_Oupper__semilattice__class_Osup > c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 > c_Event_Oevent_OSays > v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2 > v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1 > tc_fun > hAPP > c_Public_OpublicKey > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_List_Orev > c_Event_Oknows > c_Event_Oevent_ONotes > c_Event_Oevent_OGets > #nlpp > tc_List_Olist > c_fequal > c_Public_OshrK > c_Orderings_Obot__class_Obot > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OAgent > c_Message_OinvKey > c_Message_Oanalz > c_List_Olist_ONil > c_Event_Oused > c_Event_OinitState > v_NB > v_K > v_B > v_A > tc_nat > tc_bool > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_Not > c_NS__Shared__Mirabelle_Ons__shared > c_Message_OsymKeys > c_Message_Omsg_OKey > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(c_Event_Oknows,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: ( $i * $i * $i * $i ) > $i ).
tff(v_K,type,
v_K: $i ).
tff(c_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(c_List_Oappend,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1: ( $i * $i ) > $i ).
tff(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_List_Orev,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(c_Event_OinitState,type,
c_Event_OinitState: $i > $i ).
tff(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1,type,
v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1: ( $i * $i * $i ) > $i ).
tff(c_Event_Obad,type,
c_Event_Obad: $i ).
tff(c_List_OtakeWhile,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(c_COMBB,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Osko__List__XtakeWhile__cong__1__1,type,
c_List_Osko__List__XtakeWhile__cong__1__1: ( $i * $i * $i * $i ) > $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(c_Not,type,
c_Not: $i ).
tff(c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
tff(v_NB,type,
v_NB: $i ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1,type,
v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1: ( $i * $i * $i ) > $i ).
tff(c_NS__Shared__Mirabelle_OIssues,type,
c_NS__Shared__Mirabelle_OIssues: ( $i * $i * $i * $i ) > $o ).
tff(tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(c_Message_Omsg_OAgent,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
tff(c_Message_OsymKeys,type,
c_Message_OsymKeys: $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_nat,type,
tc_nat: $i ).
tff(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).
tff(c_Event_Oused,type,
c_Event_Oused: $i > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(tc_bool,type,
tc_bool: $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: ( $i * $i * $i ) > $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_Public_OpublicKey,type,
c_Public_OpublicKey: ( $i * $i ) > $i ).
tff(c_NS__Shared__Mirabelle_Ons__shared,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(c_Event_Oevent_ONotes,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(v_B,type,
v_B: $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(v_sko__NS__Shared__Mirabelle__XIssues__def__1,type,
v_sko__NS__Shared__Mirabelle__XIssues__def__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
tff(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2: ( $i * $i ) > $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(c_Message_OinvKey,type,
c_Message_OinvKey: $i > $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(v_A,type,
v_A: $i ).
tff(c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(c_List_Osko__List__XtakeWhile__eq__all__conv__1__1,type,
c_List_Osko__List__XtakeWhile__eq__all__conv__1__1: ( $i * $i * $i ) > $i ).
tff(f_2156,axiom,
! [V_K,V_X,V_B] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_1627,axiom,
! [V_A] : ( c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ),
file(unknown,unknown) ).
tff(f_2415,axiom,
! [V_P,T_a] : ( c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
file(unknown,unknown) ).
tff(f_2584,axiom,
! [T_a] : ( c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
file(unknown,unknown) ).
tff(f_2612,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file(unknown,unknown) ).
tff(c_856,plain,
! [V_K_1403,V_X_1404,V_B_1405] : ~ c_in(c_Message_Omsg_OCrypt(V_K_1403,V_X_1404),c_Message_Oparts(c_Event_OinitState(V_B_1405)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2156]) ).
tff(c_638,plain,
! [V_A_1042] : ( c_Event_Oknows(V_A_1042,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A_1042) ),
inference(cnfTransformation,[status(thm)],[f_1627]) ).
tff(c_956,plain,
! [V_P_1552,T_a_1553] : ( c_List_OtakeWhile(V_P_1552,c_List_Olist_ONil(T_a_1553),T_a_1553) = c_List_Olist_ONil(T_a_1553) ),
inference(cnfTransformation,[status(thm)],[f_2415]) ).
tff(c_1044,plain,
! [T_a_1693] : ( c_List_Orev(c_List_Olist_ONil(T_a_1693),T_a_1693) = c_List_Olist_ONil(T_a_1693) ),
inference(cnfTransformation,[status(thm)],[f_2584]) ).
tff(c_1062,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_2612]) ).
tff(c_1113,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_1062]) ).
tff(c_1118,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_956,c_1113]) ).
tff(c_1130,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_638,c_1118]) ).
tff(c_1131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_856,c_1130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV811-1 : TPTP v9.0.0. Released v4.1.0.
% 0.12/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n011.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 : Wed Apr 9 04:45:18 EDT 2025
% 0.13/0.34 % CPUTime :
% 8.17/2.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.17/2.90
% 8.17/2.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------