TSTP Solution File: SWV811_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV811_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n008.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 23:29:51 EDT 2023
% Result : Theorem 0.24s 0.44s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 55
% Syntax : Number of formulae : 70 ( 17 unt; 50 typ; 0 def)
% Number of atoms : 26 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 59 ( 33 >; 26 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 41 ( 41 usr; 10 con; 0-5 aty)
% Number of variables : 40 (; 21 !; 0 ?; 40 :)
% ( 19 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
event: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
agent: $tType ).
tff(type_def_9,type,
msg: $tType ).
tff(type_def_10,type,
nat: $tType ).
tff(type_def_11,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
bad: fun(agent,bool) ).
tff(func_def_3,type,
gets: ( agent * msg ) > event ).
tff(func_def_4,type,
notes: ( agent * msg ) > event ).
tff(func_def_5,type,
says: ( agent * agent * msg ) > event ).
tff(func_def_6,type,
initState: agent > fun(msg,bool) ).
tff(func_def_7,type,
knows: ( agent * list(event) ) > fun(msg,bool) ).
tff(func_def_8,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_9,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_10,type,
rev:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_11,type,
set:
!>[X0: $tType] : ( list(X0) > fun(X0,bool) ) ).
tff(func_def_12,type,
takeWhile:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_13,type,
spy: agent ).
tff(func_def_14,type,
analz: fun(msg,bool) > fun(msg,bool) ).
tff(func_def_15,type,
crypt: ( nat * msg ) > msg ).
tff(func_def_16,type,
key: nat > msg ).
tff(func_def_17,type,
mPair: ( msg * msg ) > msg ).
tff(func_def_18,type,
nonce: nat > msg ).
tff(func_def_19,type,
parts: fun(msg,bool) > fun(msg,bool) ).
tff(func_def_20,type,
nS_Sha254967238shared: fun(list(event),bool) ).
tff(func_def_21,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_22,type,
fFalse: bool ).
tff(func_def_23,type,
fNot: fun(bool,bool) ).
tff(func_def_24,type,
fTrue: bool ).
tff(func_def_25,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_26,type,
a: agent ).
tff(func_def_27,type,
b: agent ).
tff(func_def_28,type,
k: nat ).
tff(func_def_29,type,
nb: nat ).
tff(func_def_30,type,
sK0: fun(msg,bool) > msg ).
tff(func_def_31,type,
sK1: fun(msg,bool) > nat ).
tff(func_def_32,type,
sK2: fun(msg,bool) > msg ).
tff(func_def_33,type,
sK3: fun(msg,bool) > msg ).
tff(func_def_34,type,
sK4: ( list(event) * msg ) > agent ).
tff(func_def_35,type,
sK5: ( list(event) * msg ) > agent ).
tff(func_def_36,type,
sK6: ( list(event) * agent * msg ) > agent ).
tff(func_def_37,type,
sK7:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).
tff(func_def_38,type,
sK8:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * list(X0) ) > X0 ) ).
tff(pred_def_1,type,
nS_Sha512322870Issues: ( agent * agent * msg * list(event) ) > $o ).
tff(pred_def_2,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_3,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_4,type,
pp: bool > $o ).
tff(f494,plain,
$false,
inference(subsumption_resolution,[],[f493,f383]) ).
tff(f383,plain,
! [X2: nat,X0: agent,X1: msg] : ~ member(msg,crypt(X2,X1),parts(initState(X0))),
inference(cnf_transformation,[],[f161]) ).
tff(f161,plain,
! [X0: agent,X1: msg,X2: nat] : ~ member(msg,crypt(X2,X1),parts(initState(X0))),
inference(rectify,[],[f90]) ).
tff(f90,axiom,
! [X7: agent,X5: msg,X6: nat] : ~ member(msg,crypt(X6,X5),parts(initState(X7))),
file('/export/starexec/sandbox2/tmp/tmp.GUrvOgVbxh/Vampire---4.8_4530',fact_89_Crypt__notin__initState) ).
tff(f493,plain,
member(msg,crypt(k,mPair(nonce(nb),nonce(nb))),parts(initState(spy))),
inference(forward_demodulation,[],[f492,f333]) ).
tff(f333,plain,
! [X0: agent] : ( knows(X0,nil(event)) = initState(X0) ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: agent] : ( knows(X0,nil(event)) = initState(X0) ),
inference(rectify,[],[f60]) ).
tff(f60,axiom,
! [X10: agent] : ( knows(X10,nil(event)) = initState(X10) ),
file('/export/starexec/sandbox2/tmp/tmp.GUrvOgVbxh/Vampire---4.8_4530',fact_59_knows__Nil) ).
tff(f492,plain,
member(msg,crypt(k,mPair(nonce(nb),nonce(nb))),parts(knows(spy,nil(event)))),
inference(forward_demodulation,[],[f491,f344]) ).
tff(f344,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( nil(X0) = takeWhile(X0,X1,nil(X0)) ),
inference(cnf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( nil(X0) = takeWhile(X0,X1,nil(X0)) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X2: $tType,X12: fun(X2,bool)] : ( nil(X2) = takeWhile(X2,X12,nil(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.GUrvOgVbxh/Vampire---4.8_4530',fact_5_takeWhile_Osimps_I1_J) ).
tff(f491,plain,
member(msg,crypt(k,mPair(nonce(nb),nonce(nb))),parts(knows(spy,takeWhile(event,combb(bool,bool,event,fNot,combc(event,event,bool,fequal(event),says(a,b,crypt(k,mPair(nonce(nb),nonce(nb)))))),nil(event))))),
inference(forward_demodulation,[],[f318,f328]) ).
tff(f328,plain,
! [X0: $tType] : ( nil(X0) = rev(X0,nil(X0)) ),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: $tType] : ( nil(X0) = rev(X0,nil(X0)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X2: $tType] : ( nil(X2) = rev(X2,nil(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.GUrvOgVbxh/Vampire---4.8_4530',fact_7_rev_Osimps_I1_J) ).
tff(f318,plain,
member(msg,crypt(k,mPair(nonce(nb),nonce(nb))),parts(knows(spy,takeWhile(event,combb(bool,bool,event,fNot,combc(event,event,bool,fequal(event),says(a,b,crypt(k,mPair(nonce(nb),nonce(nb)))))),rev(event,nil(event)))))),
inference(cnf_transformation,[],[f218]) ).
tff(f218,plain,
( member(msg,crypt(k,mPair(nonce(nb),nonce(nb))),parts(knows(spy,takeWhile(event,combb(bool,bool,event,fNot,combc(event,event,bool,fequal(event),says(a,b,crypt(k,mPair(nonce(nb),nonce(nb)))))),rev(event,nil(event))))))
& member(event,says(a,b,crypt(k,mPair(nonce(nb),nonce(nb)))),set(event,nil(event)))
& ~ member(msg,key(k),analz(knows(spy,nil(event)))) ),
inference(ennf_transformation,[],[f112]) ).
tff(f112,negated_conjecture,
~ ( ~ member(msg,crypt(k,mPair(nonce(nb),nonce(nb))),parts(knows(spy,takeWhile(event,combb(bool,bool,event,fNot,combc(event,event,bool,fequal(event),says(a,b,crypt(k,mPair(nonce(nb),nonce(nb)))))),rev(event,nil(event))))))
| ~ member(event,says(a,b,crypt(k,mPair(nonce(nb),nonce(nb)))),set(event,nil(event)))
| member(msg,key(k),analz(knows(spy,nil(event)))) ),
inference(negated_conjecture,[],[f111]) ).
tff(f111,conjecture,
( ~ member(msg,crypt(k,mPair(nonce(nb),nonce(nb))),parts(knows(spy,takeWhile(event,combb(bool,bool,event,fNot,combc(event,event,bool,fequal(event),says(a,b,crypt(k,mPair(nonce(nb),nonce(nb)))))),rev(event,nil(event))))))
| ~ member(event,says(a,b,crypt(k,mPair(nonce(nb),nonce(nb)))),set(event,nil(event)))
| member(msg,key(k),analz(knows(spy,nil(event)))) ),
file('/export/starexec/sandbox2/tmp/tmp.GUrvOgVbxh/Vampire---4.8_4530',conj_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV811_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 07:31:47 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TF1_THM_EQU_NAR problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.GUrvOgVbxh/Vampire---4.8_4530
% 0.16/0.38 % (4695)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.43 % (4698)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.24/0.44 % (4698)First to succeed.
% 0.24/0.44 % (4698)Refutation found. Thanks to Tanya!
% 0.24/0.44 % SZS status Theorem for Vampire---4
% 0.24/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.44 % (4698)------------------------------
% 0.24/0.44 % (4698)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.44 % (4698)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.44 % (4698)Termination reason: Refutation
% 0.24/0.44
% 0.24/0.44 % (4698)Memory used [KB]: 10362
% 0.24/0.44 % (4698)Time elapsed: 0.010 s
% 0.24/0.44 % (4698)------------------------------
% 0.24/0.44 % (4698)------------------------------
% 0.24/0.44 % (4695)Success in time 0.057 s
% 0.24/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------