TSTP Solution File: SWV765-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV765-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 21:48:03 EDT 2023
% Result : Unsatisfiable 9.41s 9.66s
% Output : CNFRefutation 9.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 81
% Syntax : Number of formulae : 104 ( 12 unt; 72 typ; 0 def)
% Number of atoms : 58 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 89 ( 49 >; 40 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 60 ( 60 usr; 23 con; 0-4 aty)
% Number of variables : 60 ( 34 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_Oagent_OFriend: $i > $i ).
tff(decl_23,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_24,type,
c_Message_Oagent_OServer: $i ).
tff(decl_25,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_26,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_27,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
tc_bool: $i ).
tff(decl_29,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_30,type,
c_Public_Okeymode_OEncryption: $i ).
tff(decl_31,type,
c_Public_Okeymode_OSignature: $i ).
tff(decl_32,type,
c_Message_Osynth: $i > $i ).
tff(decl_33,type,
tc_Message_Omsg: $i ).
tff(decl_34,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_36,type,
hBOOL: $i > $o ).
tff(decl_37,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_38,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_39,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Message_Oparts: $i > $i ).
tff(decl_41,type,
c_Message_Omsg_OHash: $i > $i ).
tff(decl_42,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_43,type,
t_a: $i ).
tff(decl_44,type,
v_x: $i ).
tff(decl_45,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Message_Omsg_OKey: $i ).
tff(decl_47,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_49,type,
c_Message_Oanalz: $i > $i ).
tff(decl_50,type,
tc_nat: $i ).
tff(decl_51,type,
c_Event_OinitState: $i > $i ).
tff(decl_52,type,
c_Message_OinvKey: $i ).
tff(decl_53,type,
c_Public_OpublicKey: $i > $i ).
tff(decl_54,type,
c_Public_OshrK: $i ).
tff(decl_55,type,
tc_Message_Oagent: $i ).
tff(decl_56,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_57,type,
class_Orderings_Obot: $i > $o ).
tff(decl_58,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_59,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_60,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_61,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_62,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
tc_Event_Oevent: $i ).
tff(decl_64,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Event_Oused: $i > $i ).
tff(decl_66,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_67,type,
class_Orderings_Otop: $i > $o ).
tff(decl_68,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: ( $i * $i ) > $i ).
tff(decl_69,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_70,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: ( $i * $i ) > $i ).
tff(decl_71,type,
c_Event_Obad: $i ).
tff(decl_72,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_73,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_74,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_75,type,
class_HOL_Oord: $i > $o ).
tff(decl_76,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_77,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
tff(decl_78,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(decl_79,type,
tc_List_Olist: $i > $i ).
tff(decl_80,type,
c_Message_OsymKeys: $i ).
tff(decl_81,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
v_B: $i ).
tff(decl_88,type,
v_evs: $i ).
tff(decl_89,type,
v_K: $i ).
tff(decl_90,type,
v_A: $i ).
tff(decl_91,type,
v_NA: $i ).
tff(decl_92,type,
v_NB: $i ).
tff(decl_93,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_keymode_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_agent_Osimps_I2_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
cnf(cls_agent_Osimps_I7_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
cnf(cls_agent_Oinject_0,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_9,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
cls_keymode_Oinduct_0 ).
cnf(c_0_10,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_11,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X3))
| ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(c_0_13,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(c_0_14,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X3))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(X2,c_Public_Okeymode_OSignature)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_17,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_18,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_19,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I2_J_0 ).
cnf(c_0_20,plain,
( X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I7_J_0 ).
cnf(c_0_22,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
cls_agent_Oinject_0 ).
cnf(c_0_24,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_25,plain,
( c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy
| c_Public_Okeymode_OSignature != c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( X1 = X2
| c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_24]) ).
cnf(c_0_27,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20])]) ).
cnf(c_0_28,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy
| X1 = X2 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20])]) ).
cnf(c_0_29,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0 ).
cnf(c_0_30,plain,
X1 = X2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_31,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV765-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 03:13:57 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 9.41/9.66 % Version : CSE_E---1.5
% 9.41/9.66 % Problem : theBenchmark.p
% 9.41/9.66 % Proof found
% 9.41/9.66 % SZS status Theorem for theBenchmark.p
% 9.41/9.66 % SZS output start Proof
% See solution above
% 9.41/9.67 % Total time : 9.078000 s
% 9.41/9.67 % SZS output end Proof
% 9.41/9.67 % Total time : 9.096000 s
%------------------------------------------------------------------------------