TSTP Solution File: SWV734-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV734-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 21:47:55 EDT 2023
% Result : Unsatisfiable 0.54s 0.69s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 71
% Syntax : Number of formulae : 86 ( 14 unt; 63 typ; 0 def)
% Number of atoms : 34 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 45 >; 29 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 18 con; 0-4 aty)
% Number of variables : 33 ( 8 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_bool: $i ).
tff(decl_23,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_24,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_25,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_26,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_Public_OshrK: $i ).
tff(decl_28,type,
tc_Message_Oagent: $i ).
tff(decl_29,type,
tc_nat: $i ).
tff(decl_30,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
c_Message_Omsg_OKey: $i ).
tff(decl_32,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_33,type,
c_Event_Oused: $i > $i ).
tff(decl_34,type,
tc_Message_Omsg: $i ).
tff(decl_35,type,
c_Public_OpublicKey: $i > $i ).
tff(decl_36,type,
c_Message_OsymKeys: $i ).
tff(decl_37,type,
c_Message_OinvKey: $i > $i ).
tff(decl_38,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_39,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
hBOOL: $i > $o ).
tff(decl_41,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
class_Orderings_Otop: $i > $o ).
tff(decl_44,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_45,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_46,type,
c_Public_Okeymode_OEncryption: $i ).
tff(decl_47,type,
c_Message_Oanalz: $i > $i ).
tff(decl_48,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Message_OHPair: ( $i * $i ) > $i ).
tff(decl_50,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_51,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_52,type,
c_Event_OinitState: $i > $i ).
tff(decl_53,type,
c_Message_Oparts: $i > $i ).
tff(decl_54,type,
c_Message_Osynth: $i > $i ).
tff(decl_55,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_56,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_57,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(decl_58,type,
tc_Event_Oevent: $i ).
tff(decl_59,type,
tc_List_Olist: $i > $i ).
tff(decl_60,type,
c_Event_Obad: $i ).
tff(decl_61,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_62,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Message_Oanalzp: ( $i * $i ) > $o ).
tff(decl_64,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_65,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_67,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_68,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
tff(decl_69,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_70,type,
c_Message_Osko__Message__Xparts__singleton__1__1: ( $i * $i ) > $i ).
tff(decl_71,type,
class_Orderings_Obot: $i > $o ).
tff(decl_72,type,
class_HOL_Oord: $i > $o ).
tff(decl_73,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_74,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_75,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_76,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_77,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_78,type,
v_Kab: $i ).
tff(decl_79,type,
v_evsf: $i ).
tff(decl_80,type,
v_Xa: $i ).
tff(decl_81,type,
v_KAB: $i ).
tff(decl_82,type,
v_X: $i ).
tff(decl_83,type,
v_K: $i ).
tff(decl_84,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_parts_OBody_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_parts__cut_0,axiom,
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut_0) ).
cnf(cls_Un__empty__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_0_8,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0 ).
cnf(c_0_9,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_4 ).
cnf(c_0_10,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
cls_parts_OBody_0 ).
cnf(c_0_11,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_3 ).
cnf(c_0_12,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_13,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),hAPP(c_Message_Omsg_OKey,v_K))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,axiom,
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_parts__cut_0 ).
cnf(c_0_16,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
cls_Un__empty__left_0 ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),v_X)),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_5 ).
cnf(c_0_20,negated_conjecture,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),X1),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV734-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.32 % Computer : n013.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Aug 29 05:53:17 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.17/0.50 start to proof: theBenchmark
% 0.54/0.69 % Version : CSE_E---1.5
% 0.54/0.69 % Problem : theBenchmark.p
% 0.54/0.69 % Proof found
% 0.54/0.69 % SZS status Theorem for theBenchmark.p
% 0.54/0.69 % SZS output start Proof
% See solution above
% 0.54/0.70 % Total time : 0.171000 s
% 0.54/0.70 % SZS output end Proof
% 0.54/0.70 % Total time : 0.185000 s
%------------------------------------------------------------------------------