TSTP Solution File: SWV727-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV727-1 : 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 : n031.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 21:47:53 EDT 2023
% Result : Unsatisfiable 5.03s 5.16s
% Output : CNFRefutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 71
% Syntax : Number of formulae : 93 ( 20 unt; 60 typ; 0 def)
% Number of atoms : 51 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 76 ( 45 >; 31 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 44 ( 44 usr; 15 con; 0-4 aty)
% Number of variables : 34 ( 9 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,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_28,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_30,type,
hBOOL: $i > $o ).
tff(decl_31,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
class_Orderings_Otop: $i > $o ).
tff(decl_34,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_36,type,
tc_Event_Oevent: $i ).
tff(decl_37,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
c_Event_Oused: $i > $i ).
tff(decl_39,type,
c_Message_Omsg_OHash: $i > $i ).
tff(decl_40,type,
tc_Message_Omsg: $i ).
tff(decl_41,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_43,type,
c_Message_OHPair: ( $i * $i ) > $i ).
tff(decl_44,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_45,type,
c_Public_OpublicKey: $i > $i ).
tff(decl_46,type,
tc_Message_Oagent: $i ).
tff(decl_47,type,
tc_nat: $i ).
tff(decl_48,type,
c_Message_Omsg_OKey: $i ).
tff(decl_49,type,
c_Message_Oanalz: $i > $i ).
tff(decl_50,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_51,type,
c_Message_Oparts: $i > $i ).
tff(decl_52,type,
c_Message_Osynth: $i > $i ).
tff(decl_53,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_55,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_56,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_57,type,
c_Event_Obad: $i ).
tff(decl_58,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_59,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_61,type,
c_Public_OshrK: $i ).
tff(decl_62,type,
c_Message_OinvKey: $i > $i ).
tff(decl_63,type,
c_Public_Okeymode_OEncryption: $i ).
tff(decl_64,type,
class_Orderings_Obot: $i > $o ).
tff(decl_65,type,
class_HOL_Oord: $i > $o ).
tff(decl_66,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
tff(decl_67,type,
c_Message_OsymKeys: $i ).
tff(decl_68,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
tff(decl_69,type,
tc_List_Olist: $i > $i ).
tff(decl_70,type,
c_Event_OinitState: $i > $i ).
tff(decl_71,type,
c_Message_Osko__Message__Xparts__singleton__1__1: ( $i * $i ) > $i ).
tff(decl_72,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_73,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_74,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_75,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_76,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_77,type,
c_Message_Osko__Message__Xanalz__insert__eq__I__1__1: ( $i * $i ) > $i ).
tff(decl_78,type,
v_K: $i ).
tff(decl_79,type,
v_evsf: $i ).
tff(decl_80,type,
v_X: $i ).
tff(decl_81,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_5,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
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_conjecture_2,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_keysFor__parts__insert_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_usedI_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(cls_invKey__K_0,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__K_0) ).
cnf(c_0_11,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0 ).
cnf(c_0_12,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
cls_conjecture_5 ).
cnf(c_0_13,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_14,negated_conjecture,
hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),v_K)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_16,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
cls_keysFor__parts__insert_0 ).
cnf(c_0_17,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),v_X)),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
cls_conjecture_6 ).
cnf(c_0_20,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
cls_conjecture_4 ).
cnf(c_0_21,negated_conjecture,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_23,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0 ).
cnf(c_0_24,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(sr,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
cls_conjecture_0 ).
cnf(c_0_26,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_usedI_0 ).
cnf(c_0_27,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_28,negated_conjecture,
hBOOL(hAPP(c_Message_OsymKeys,v_K)),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
cls_invKey__K_0 ).
cnf(c_0_31,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,X1),
inference(spm,[status(thm)],[c_0_13,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV727-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n031.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 08:42:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 5.03/5.16 % Version : CSE_E---1.5
% 5.03/5.16 % Problem : theBenchmark.p
% 5.03/5.16 % Proof found
% 5.03/5.16 % SZS status Theorem for theBenchmark.p
% 5.03/5.16 % SZS output start Proof
% See solution above
% 5.03/5.16 % Total time : 4.565000 s
% 5.03/5.16 % SZS output end Proof
% 5.03/5.16 % Total time : 4.579000 s
%------------------------------------------------------------------------------