TSTP Solution File: SWV721-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV721-1 : 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 : n022.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 21:47:52 EDT 2023
% Result : Unsatisfiable 0.54s 0.71s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 105
% Syntax : Number of formulae : 118 ( 11 unt; 98 typ; 0 def)
% Number of atoms : 29 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 194 ( 83 >; 111 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 77 ( 77 usr; 15 con; 0-6 aty)
% Number of variables : 29 ( 9 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Public_OpublicKey: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Message_OinvKey: $i > $i ).
tff(decl_24,type,
c_Message_Omsg_OKey: $i > $i ).
tff(decl_25,type,
c_Event_Oused: $i > $i ).
tff(decl_26,type,
tc_Message_Omsg: $i ).
tff(decl_27,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
c_Message_Oanalz: $i > $i ).
tff(decl_29,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_30,type,
c_Public_OshrK: $i > $i ).
tff(decl_31,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_32,type,
c_Event_OinitState: $i > $i ).
tff(decl_33,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Message_Osynth: $i > $i ).
tff(decl_35,type,
tc_bool: $i ).
tff(decl_36,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_37,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_39,type,
c_Event_Obad: $i ).
tff(decl_40,type,
tc_Message_Oagent: $i ).
tff(decl_41,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
tc_Event_Oevent: $i ).
tff(decl_43,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
tff(decl_45,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_46,type,
c_Message_Osko__Message__Xparts__singleton__1__1: ( $i * $i ) > $i ).
tff(decl_47,type,
c_Message_Oparts: $i > $i ).
tff(decl_48,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_49,type,
c_List_Ofilter: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_51,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_52,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_54,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_55,type,
c_List_Obutlast: ( $i * $i ) > $i ).
tff(decl_56,type,
c_List_Odrop: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_58,type,
hBOOL: $i > $o ).
tff(decl_59,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_60,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
c_List_OremoveAll: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
c_List_Otake: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
class_Orderings_Obot: $i > $o ).
tff(decl_66,type,
c_List_OListMem: ( $i * $i * $i ) > $o ).
tff(decl_67,type,
c_List_Olist__ex: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_70,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_71,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_List_Olist__all: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
class_HOL_Oord: $i > $o ).
tff(decl_74,type,
c_List_Omember: ( $i * $i * $i ) > $o ).
tff(decl_75,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_76,type,
v_sko__NS__Shared__Mirabelle__XIssues__def__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
c_NS__Shared__Mirabelle_OIssues: ( $i * $i * $i * $i ) > $o ).
tff(decl_78,type,
c_List_Osublist: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_80,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_81,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_82,type,
v_A: $i ).
tff(decl_83,type,
v_B: $i ).
tff(decl_84,type,
c_Not: $i > $i ).
tff(decl_85,type,
c_and: ( $i * $i ) > $i ).
tff(decl_86,type,
v_sko__Message__Xparts__Xcases__3: ( $i * $i ) > $i ).
tff(decl_87,type,
v_sko__Message__Xparts__Xcases__2: ( $i * $i ) > $i ).
tff(decl_88,type,
v_sko__Message__Xparts__Xcases__1: ( $i * $i ) > $i ).
tff(decl_89,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: ( $i * $i ) > $i ).
tff(decl_91,type,
c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: ( $i * $i ) > $i ).
tff(decl_92,type,
c_List_Osko__List__Xsplit__list__last__prop__iff__1__2: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
c_List_Osko__List__Xsplit__list__first__prop__iff__1__1: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
c_List_Osko__List__Xsplit__list__first__prop__1__1: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
c_List_Osko__List__Xsplit__list__last__prop__iff__1__3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
c_List_Osko__List__Xsplit__list__first__prop__1__2: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
c_List_Osko__List__Xsplit__list__first__1__1: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
c_List_Osko__List__Xsplit__list__last__propE__1__3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
c_List_Osko__List__Xsplit__list__last__propE__1__2: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
c_List_Osko__List__Xin__set__conv__decomp__first__1__1: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
c_List_Osko__List__Xin__set__conv__decomp__last__1__2: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
c_List_Osko__List__Xsplit__list__first__propE__1__2: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(decl_104,type,
c_List_Osko__List__Xsplit__list__last__prop__1__3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
c_List_Osko__List__Xsplit__list__propE__1__2: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_List_Osko__List__Xsplit__list__first__propE__1__1: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
c_List_Osko__List__Xsplit__list__last__1__2: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
c_List_Osko__List__Xsplit__list__first__prop__iff__1__2: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
c_List_Osko__List__Xsplit__list__last__prop__1__2: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
c_List_Osko__List__Xsplit__list__prop__1__2: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
v_S: $i ).
tff(decl_113,type,
v_KA: $i ).
tff(decl_114,type,
v_N: $i ).
tff(decl_115,type,
v_K: $i ).
tff(decl_116,type,
v_X: $i ).
tff(decl_117,type,
v_evs: $i ).
tff(decl_118,type,
tc_nat: $i ).
tff(decl_119,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_parts_OSnd_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
cnf(cls_parts_OInj_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_7,axiom,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__imp__parts__knows__Spy_0 ).
cnf(c_0_8,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_0 ).
cnf(c_0_9,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_10,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
cls_parts_OSnd_0 ).
cnf(c_0_12,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_parts_OInj_0 ).
cnf(c_0_13,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_16,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_17,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
cls_conjecture_1 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_17]),c_0_16]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV721-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 04:52:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.54/0.71 % Version : CSE_E---1.5
% 0.54/0.71 % Problem : theBenchmark.p
% 0.54/0.71 % Proof found
% 0.54/0.71 % SZS status Theorem for theBenchmark.p
% 0.54/0.71 % SZS output start Proof
% See solution above
% 0.67/0.71 % Total time : 0.124000 s
% 0.67/0.71 % SZS output end Proof
% 0.67/0.71 % Total time : 0.137000 s
%------------------------------------------------------------------------------