%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV739_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:23 PM UTC 2026
% Result : Theorem 15.33s 3.15s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 150 ( 21 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 189 ( 74 ~; 69 |; 40 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 18 con; 0-5 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 34 :)
% 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,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_3,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_4,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_5,type,
says: ( agent * agent * msg ) > event ).
tff(func_def_6,type,
knows: ( agent * list(event) ) > fun(msg,bool) ).
tff(func_def_7,type,
used: list(event) > fun(msg,bool) ).
tff(func_def_8,type,
uminus_uminus:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_9,type,
sup_sup:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_10,type,
set:
!>[X0: $tType] : ( list(X0) > fun(X0,bool) ) ).
tff(func_def_11,type,
server: agent ).
tff(func_def_12,type,
spy: agent ).
tff(func_def_13,type,
analz: fun(msg,bool) > fun(msg,bool) ).
tff(func_def_14,type,
agent1: agent > msg ).
tff(func_def_15,type,
key: fun(nat,msg) ).
tff(func_def_16,type,
mPair: ( msg * msg ) > msg ).
tff(func_def_17,type,
nonce: nat > msg ).
tff(func_def_18,type,
symKeys: fun(nat,bool) ).
tff(func_def_19,type,
nS_Sha254967238shared: fun(list(event),bool) ).
tff(func_def_20,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_21,type,
shrK: fun(agent,nat) ).
tff(func_def_22,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_23,type,
image:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > fun(X1,bool) ) ).
tff(func_def_24,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_25,type,
fFalse: bool ).
tff(func_def_26,type,
fNot: fun(bool,bool) ).
tff(func_def_27,type,
fTrue: bool ).
tff(func_def_28,type,
fdisj: fun(bool,fun(bool,bool)) ).
tff(func_def_29,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_30,type,
a: agent ).
tff(func_def_31,type,
a1: agent ).
tff(func_def_32,type,
b: agent ).
tff(func_def_33,type,
k: nat ).
tff(func_def_34,type,
kab: nat ).
tff(func_def_35,type,
kk: fun(nat,bool) ).
tff(func_def_36,type,
na: nat ).
tff(func_def_37,type,
evs2: list(event) ).
tff(func_def_38,type,
sK1:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_39,type,
sK2:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_40,type,
sK3:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_41,type,
sK4:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_42,type,
sK5:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_43,type,
sK6:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_44,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_45,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X1,X0) * X0 ) > X1 ) ).
tff(pred_def_1,type,
bounded_lattice:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
lattice:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
boolean_algebra:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semilattice_sup:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
bounded_lattice_top:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_7,type,
pp: bool > $o ).
tff(f6,axiom,
! [X0: fun(agent,bool),X1: agent] :
( pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,X1)),image(agent,nat,shrK,X0)))
<=> pp(aa(fun(agent,bool),bool,aa(agent,fun(fun(agent,bool),bool),member(agent),X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_shrK__image__eq) ).
tff(f16,axiom,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( ord_less_eq(fun(X0,bool),X3,X2)
=> ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
=> pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_subsetD) ).
tff(f18,axiom,
! [X0: $tType,X1: X0] : pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),top_top(fun(X0,bool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_UNIV__I) ).
tff(f87,axiom,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),uminus_uminus(fun(X0,bool),X1)))
=> ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_ComplD) ).
tff(f132,axiom,
ord_less_eq(fun(nat,bool),kk,uminus_uminus(fun(nat,bool),image(agent,nat,shrK,top_top(fun(agent,bool))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
tff(f133,conjecture,
( ( ( ( aa(agent,nat,shrK,b) != kab )
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2)))) )
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,a))),analz(knows(spy,evs2))))
| ( ( ( ( aa(agent,nat,shrK,b) != kab )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,b)),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2)))) )
| ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| ( ( k != kab )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
& ( ( aa(agent,nat,shrK,b) = kab )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,b)),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2))))
| ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| ( ( k != kab )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) ) ) )
& ( ( aa(agent,nat,shrK,b) = kab )
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2))))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,a))),analz(knows(spy,evs2))))
| ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| ( ( k != kab )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
tff(f134,negated_conjecture,
~ ( ( ( ( aa(agent,nat,shrK,b) != kab )
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2)))) )
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,a))),analz(knows(spy,evs2))))
| ( ( ( ( aa(agent,nat,shrK,b) != kab )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,b)),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2)))) )
| ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| ( ( k != kab )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
& ( ( aa(agent,nat,shrK,b) = kab )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,b)),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2))))
| ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| ( ( k != kab )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) ) ) )
& ( ( aa(agent,nat,shrK,b) = kab )
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2))))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,a))),analz(knows(spy,evs2))))
| ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| ( ( k != kab )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) ) ),
inference(negated_conjecture,[status(cth)],[f133]) ).
tff(f143,plain,
( ( ( ( kab = aa(agent,nat,shrK,b) )
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2)))) )
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,a))),analz(knows(spy,evs2))))
& ( ( ( ( kab = aa(agent,nat,shrK,b) )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,b)),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2)))) )
& pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
& ( ( kab = k )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
| ( ( kab != aa(agent,nat,shrK,b) )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,b)),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2))))
& pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
& ( ( kab = k )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) ) ) )
| ( ( kab != aa(agent,nat,shrK,b) )
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,b))),analz(knows(spy,evs2))))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,aa(agent,nat,shrK,a))),analz(knows(spy,evs2))))
& pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
& ( ( kab = k )
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
| pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) )
& ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),k),kk))
& ~ pp(aa(fun(msg,bool),bool,aa(msg,fun(fun(msg,bool),bool),member(msg),aa(nat,msg,key,k)),analz(knows(spy,evs2)))) ) ),
inference(ennf_transformation,[],[f134]) ).
tff(f163,plain,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X2))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| ~ ord_less_eq(fun(X0,bool),X3,X2) ),
inference(ennf_transformation,[],[f16]) ).
tff(f164,plain,
! [X0: $tType,X1: X0,X2: fun(X0,bool),X3: fun(X0,bool)] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X2))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| ~ ord_less_eq(fun(X0,bool),X3,X2) ),
inference(flattening,[],[f163]) ).
tff(f167,plain,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),uminus_uminus(fun(X0,bool),X1))) ),
inference(ennf_transformation,[],[f87]) ).
tff(f193,plain,
ord_less_eq(fun(nat,bool),kk,uminus_uminus(fun(nat,bool),image(agent,nat,shrK,top_top(fun(agent,bool))))),
inference(cnf_transformation,[],[f132]) ).
tff(f198,plain,
( pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| ~ sP0 ),
inference(cnf_transformation,[],[f143]) ).
tff(f228,plain,
( pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| sP0 ),
inference(cnf_transformation,[],[f143]) ).
tff(f296,plain,
! [X0: $tType,X2: fun(X0,bool),X3: fun(X0,bool),X1: X0] :
( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| ~ ord_less_eq(fun(X0,bool),X3,X2)
| pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),X2)) ),
inference(cnf_transformation,[],[f164]) ).
tff(f300,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),uminus_uminus(fun(X0,bool),X1)))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1)) ),
inference(cnf_transformation,[],[f167]) ).
tff(f311,plain,
! [X0: fun(agent,bool),X1: agent] :
( pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,X1)),image(agent,nat,shrK,X0)))
| ~ pp(aa(fun(agent,bool),bool,aa(agent,fun(fun(agent,bool),bool),member(agent),X1),X0)) ),
inference(cnf_transformation,[],[f6]) ).
tff(f336,plain,
! [X0: $tType,X1: X0] : pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),top_top(fun(X0,bool)))),
inference(cnf_transformation,[],[f18]) ).
tff(f385,definition,
( spl9_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
tff(f417,definition,
( spl9_8
<=> pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk)) ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
tff(f419,plain,
( pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),kk))
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f417]) ).
tff(f420,plain,
( ~ spl9_1
| spl9_8 ),
inference(avatar_split_clause,[],[f198,f417,f385]) ).
tff(f454,plain,
( spl9_1
| spl9_8 ),
inference(avatar_split_clause,[],[f228,f417,f385]) ).
tff(f495,plain,
( ! [X0: fun(nat,bool)] :
( ~ ord_less_eq(fun(nat,bool),kk,X0)
| pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),X0)) )
| ~ spl9_8 ),
inference(resolution,[],[f419,f296]) ).
tff(f598,plain,
( pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),uminus_uminus(fun(nat,bool),image(agent,nat,shrK,top_top(fun(agent,bool))))))
| ~ spl9_8 ),
inference(resolution,[],[f495,f193]) ).
tff(f646,plain,
( ~ pp(aa(fun(nat,bool),bool,aa(nat,fun(fun(nat,bool),bool),member(nat),aa(agent,nat,shrK,a)),image(agent,nat,shrK,top_top(fun(agent,bool)))))
| ~ spl9_8 ),
inference(resolution,[],[f598,f300]) ).
tff(f661,plain,
( ~ pp(aa(fun(agent,bool),bool,aa(agent,fun(fun(agent,bool),bool),member(agent),a),top_top(fun(agent,bool))))
| ~ spl9_8 ),
inference(resolution,[],[f646,f311]) ).
tff(f675,plain,
( $false
| ~ spl9_8 ),
inference(forward_subsumption_resolution,[],[f661,f336]) ).
tff(f676,plain,
~ spl9_8,
inference(avatar_contradiction_clause,[],[f675]) ).
cnf(s5,plain,
( ~ spl9_1
| spl9_8 ),
inference(sat_conversion,[],[f420]) ).
cnf(s35,plain,
( spl9_1
| spl9_8 ),
inference(sat_conversion,[],[f454]) ).
cnf(s72,plain,
~ spl9_8,
inference(sat_conversion,[],[f676]) ).
cnf(s80,plain,
spl9_1,
inference(rat,[],[s35,s72]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s5,s72,s80]) ).
tff(f677,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV739_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n014.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 12:24:15 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running first-order theorem proving
% 0.09/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.92/2.64 % (1747450)Detected formulas, will run a generic FOF schedule.
% 10.92/2.64 % (1747458)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3893560780:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.92/2.64 % (1747463)dis-21_1_sil=8000:lcm=predicate:random_seed=1433874965:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.92/2.64 % (1747457)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3478956907:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.92/2.64 % (1747462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1350809201:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.92/2.64 % (1747461)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=333442934:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.92/2.64 % (1747460)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3725732272:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.92/2.64 % (1747459)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=878843436:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.92/2.64 % (1747460)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.92/2.64 % (1747459)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.92/2.64 % (1747463)Instruction limit reached!
% 10.92/2.64 % (1747463)------------------------------
% 10.92/2.64 % (1747463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.64 % (1747463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.64 % (1747463)CaDiCaL version: 2.1.3
% 10.92/2.64 % (1747463)Termination reason: Instruction limit
% 10.92/2.64 % (1747463)Termination phase: Saturation
% 10.92/2.64 % (1747463)Time elapsed: 0.081 s
% 10.92/2.64 % (1747463)Peak memory usage: 89 MB
% 10.92/2.64 % (1747463)Instructions burned: 130 (million)
% 10.92/2.64 % (1747460)Instruction limit reached!
% 10.92/2.64 % (1747460)------------------------------
% 10.92/2.64 % (1747460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.64 % (1747460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.64 % (1747460)CaDiCaL version: 2.1.3
% 10.92/2.64 % (1747460)Termination reason: Instruction limit
% 10.92/2.64 % (1747460)Termination phase: Saturation
% 10.92/2.64 % (1747460)Time elapsed: 0.105 s
% 10.92/2.64 % (1747460)Peak memory usage: 89 MB
% 10.92/2.64 % (1747460)Instructions burned: 110 (million)
% 10.92/2.64 % (1747461)Instruction limit reached!
% 10.92/2.64 % (1747461)------------------------------
% 10.92/2.64 % (1747461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.64 % (1747461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.64 % (1747461)CaDiCaL version: 2.1.3
% 10.92/2.64 % (1747461)Termination reason: Instruction limit
% 10.92/2.64 % (1747461)Termination phase: Saturation
% 10.92/2.64 % (1747461)Time elapsed: 0.110 s
% 10.92/2.64 % (1747461)Peak memory usage: 89 MB
% 10.92/2.64 % (1747461)Instructions burned: 119 (million)
% 10.92/2.64 % (1747462)Instruction limit reached!
% 10.92/2.64 % (1747462)------------------------------
% 10.92/2.64 % (1747462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.64 % (1747462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.64 % (1747462)CaDiCaL version: 2.1.3
% 10.92/2.64 % (1747462)Termination reason: Instruction limit
% 10.92/2.64 % (1747462)Termination phase: Saturation
% 10.92/2.64 % (1747462)Time elapsed: 0.142 s
% 10.92/2.64 % (1747462)Peak memory usage: 90 MB
% 10.92/2.64 % (1747462)Instructions burned: 140 (million)
% 10.92/2.64 % Exception at run slice level
% 10.92/2.64 User error: GNN currently only supports monomorphic FOL.
% 10.92/2.64 % (1747472)lrs+10_1_sil=8000:sp=occurrence:random_seed=1365368890:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.92/2.64 % (1747474)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1475367357:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.92/2.64 % (1747473)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1950045555:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.33/3.15 % (1747475)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2096530628:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 15.33/3.15 % (1747477)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1384983425:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.33/3.15 % (1747473)Instruction limit reached!
% 15.33/3.15 % (1747473)------------------------------
% 15.33/3.15 % (1747473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747473)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747473)Termination reason: Instruction limit
% 15.33/3.15 % (1747473)Termination phase: Saturation
% 15.33/3.15 % (1747473)Time elapsed: 0.144 s
% 15.33/3.15 % (1747473)Peak memory usage: 90 MB
% 15.33/3.15 % (1747473)Instructions burned: 158 (million)
% 15.33/3.15 % (1747472)Instruction limit reached!
% 15.33/3.15 % (1747472)------------------------------
% 15.33/3.15 % (1747472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747472)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747472)Termination reason: Instruction limit
% 15.33/3.15 % (1747472)Termination phase: Saturation
% 15.33/3.15 % (1747472)Time elapsed: 0.250 s
% 15.33/3.15 % (1747472)Peak memory usage: 89 MB
% 15.33/3.15 % (1747472)Instructions burned: 286 (million)
% 15.33/3.15 % Exception at run slice level
% 15.33/3.15 User error: GNN currently only supports monomorphic FOL.
% 15.33/3.15 % (1747477)Instruction limit reached!
% 15.33/3.15 % (1747477)------------------------------
% 15.33/3.15 % (1747477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747477)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747477)Termination reason: Instruction limit
% 15.33/3.15 % (1747477)Termination phase: Saturation
% 15.33/3.15 % (1747477)Time elapsed: 0.161 s
% 15.33/3.15 % (1747477)Peak memory usage: 90 MB
% 15.33/3.15 % (1747477)Instructions burned: 295 (million)
% 15.33/3.15 % Exception at run slice level
% 15.33/3.15 User error: GNN currently only supports monomorphic FOL.
% 15.33/3.15 % (1747475)Instruction limit reached!
% 15.33/3.15 % (1747475)------------------------------
% 15.33/3.15 % (1747475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747475)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747475)Termination reason: Instruction limit
% 15.33/3.15 % (1747475)Termination phase: Saturation
% 15.33/3.15 % (1747475)Time elapsed: 0.235 s
% 15.33/3.15 % (1747475)Peak memory usage: 90 MB
% 15.33/3.15 % (1747475)Instructions burned: 249 (million)
% 15.33/3.15 % (1747474)Instruction limit reached!
% 15.33/3.15 % (1747474)------------------------------
% 15.33/3.15 % (1747474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747474)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747474)Termination reason: Instruction limit
% 15.33/3.15 % (1747474)Termination phase: Saturation
% 15.33/3.15 % (1747474)Time elapsed: 0.317 s
% 15.33/3.15 % (1747474)Peak memory usage: 91 MB
% 15.33/3.15 % (1747474)Instructions burned: 325 (million)
% 15.33/3.15 % (1747483)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4050263441:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 15.33/3.15 % (1747486)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=333913536:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 15.33/3.15 % (1747484)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3978482062:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 15.33/3.15 % (1747486)Instruction limit reached!
% 15.33/3.15 % (1747486)------------------------------
% 15.33/3.15 % (1747486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747486)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747486)Termination reason: Instruction limit
% 15.33/3.15 % (1747486)Termination phase: Saturation
% 15.33/3.15 % (1747486)Time elapsed: 0.050 s
% 15.33/3.15 % (1747486)Peak memory usage: 88 MB
% 15.33/3.15 % (1747486)Instructions burned: 115 (million)
% 15.33/3.15 % (1747487)lrs+10_1_sil=8000:sp=occurrence:random_seed=2311578922:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 15.33/3.15 % (1747485)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2812936847:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 15.33/3.15 % (1747484)Instruction limit reached!
% 15.33/3.15 % (1747484)------------------------------
% 15.33/3.15 % (1747484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747484)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747484)Termination reason: Instruction limit
% 15.33/3.15 % (1747484)Termination phase: Saturation
% 15.33/3.15 % (1747484)Time elapsed: 0.109 s
% 15.33/3.15 % (1747484)Peak memory usage: 89 MB
% 15.33/3.15 % (1747484)Instructions burned: 114 (million)
% 15.33/3.15 % (1747488)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4122782500:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 15.33/3.15 % (1747489)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2157546463:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 15.33/3.15 % (1747485)Instruction limit reached!
% 15.33/3.15 % (1747485)------------------------------
% 15.33/3.15 % (1747485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747485)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747485)Termination reason: Instruction limit
% 15.33/3.15 % (1747485)Termination phase: Saturation
% 15.33/3.15 % (1747485)Time elapsed: 0.104 s
% 15.33/3.15 % (1747485)Peak memory usage: 88 MB
% 15.33/3.15 % (1747485)Instructions burned: 127 (million)
% 15.33/3.15 % (1747495)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4088624713:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 15.33/3.15 % (1747497)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=16697602:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 15.33/3.15 % (1747495)Instruction limit reached!
% 15.33/3.15 % (1747495)------------------------------
% 15.33/3.15 % (1747495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747495)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747495)Termination reason: Instruction limit
% 15.33/3.15 % (1747495)Termination phase: Saturation
% 15.33/3.15 % (1747495)Time elapsed: 0.130 s
% 15.33/3.15 % (1747495)Peak memory usage: 90 MB
% 15.33/3.15 % (1747495)Instructions burned: 134 (million)
% 15.33/3.15 % (1747499)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3117142808:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 15.33/3.15 % (1747488)Instruction limit reached!
% 15.33/3.15 % (1747488)------------------------------
% 15.33/3.15 % (1747488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747488)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747488)Termination reason: Instruction limit
% 15.33/3.15 % (1747488)Termination phase: Saturation
% 15.33/3.15 % (1747488)Time elapsed: 0.414 s
% 15.33/3.15 % (1747488)Peak memory usage: 91 MB
% 15.33/3.15 % (1747488)Instructions burned: 438 (million)
% 15.33/3.15 % Exception at run slice level
% 15.33/3.15 User error: GNN currently only supports monomorphic FOL.
% 15.33/3.15 % (1747497)Instruction limit reached!
% 15.33/3.15 % (1747497)------------------------------
% 15.33/3.15 % (1747497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747497)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747497)Termination reason: Instruction limit
% 15.33/3.15 % (1747497)Termination phase: Saturation
% 15.33/3.15 % (1747497)Time elapsed: 0.298 s
% 15.33/3.15 % (1747497)Peak memory usage: 92 MB
% 15.33/3.15 % (1747497)Instructions burned: 592 (million)
% 15.33/3.15 % (1747503)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1380283630:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 15.33/3.15 % (1747503)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.33/3.15 % Exception at run slice level
% 15.33/3.15 User error: GNN currently only supports monomorphic FOL.
% 15.33/3.15 % (1747507)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=97054920:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 15.33/3.15 % (1747506)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=584799738:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 15.33/3.15 % (1747503)Instruction limit reached!
% 15.33/3.15 % (1747503)------------------------------
% 15.33/3.15 % (1747503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747503)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747503)Termination reason: Instruction limit
% 15.33/3.15 % (1747503)Termination phase: Saturation
% 15.33/3.15 % (1747503)Time elapsed: 0.124 s
% 15.33/3.15 % (1747503)Peak memory usage: 90 MB
% 15.33/3.15 % (1747503)Instructions burned: 125 (million)
% 15.33/3.15 % (1747507)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.33/3.15 % Exception at run slice level
% 15.33/3.15 User error: Immediate (shared) subterms of term/literal aa(X0,fun(X2,X1),X5,X3) = sF61(X0,X2,X1,X5,X3) have different types/not well-typed!
% 15.33/3.15 % (1747507)First to succeed.
% 15.33/3.15 % (1747507)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1747450"
% 15.33/3.15 % (1747510)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2224726438:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/431Mi)
% 15.33/3.15 % (1747487)Instruction limit reached!
% 15.33/3.15 % (1747487)------------------------------
% 15.33/3.15 % (1747487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.15 % (1747487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.15 % (1747487)CaDiCaL version: 2.1.3
% 15.33/3.15 % (1747487)Termination reason: Instruction limit
% 15.33/3.15 % (1747487)Termination phase: Saturation
% 15.33/3.15 % (1747487)Time elapsed: 0.880 s
% 15.33/3.15 % (1747487)Peak memory usage: 93 MB
% 15.33/3.15 % (1747487)Instructions burned: 907 (million)
% 15.33/3.15 % (1747513)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1479933922:i=6060:aac=none:ins=25_2982 on theBenchmark for (2982ds/6060Mi)
% 15.33/3.15 % Exception at run slice level
% 15.33/3.15 User error: GNN currently only supports monomorphic FOL.
% 15.33/3.15 % (1747514)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1266996390:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2982 on theBenchmark for (2982ds/150Mi)
% 15.33/3.15 % (1747515)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3208192485:i=14155:bd=all_2982 on theBenchmark for (2982ds/14155Mi)
% 15.33/3.15 % (1747514)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.33/3.15 % (1747507)Refutation found. Thanks to Tanya!
% 15.33/3.15 % SZS status Theorem for theBenchmark
% 15.33/3.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/3.51 % (1747507)------------------------------
% 0.27/3.51 % (1747507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/3.51 % (1747507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/3.51 % (1747507)CaDiCaL version: 2.1.3
% 0.27/3.51 % (1747507)Termination reason: Refutation
% 0.27/3.51 % (1747507)Time elapsed: 0.019 s
% 0.27/3.51 % (1747507)Peak memory usage: 90 MB
% 0.27/3.51 % (1747507)Instructions burned: 30 (million)
% 0.27/3.51 % (1747507)------------------------------
% 0.27/3.51 % (1747507)------------------------------
% 0.27/3.51 % (1747450)Success in time 2.162 s
% 0.27/3.51 % Vampire exiting
%------------------------------------------------------------------------------